0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n152.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:10:25 CST 2018
0.00/0.21	% done 31 iterations in 0.012s
0.00/0.21	% SZS status Theorem for 'stdin'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff(zf_stmt_3, conjecture,
0.00/0.21	  (![X:app_encode_fun(a,$o),Y:app_encode_fun(a,$o),Z:app_encode_fun(a,$o)]:
0.00/0.21	     ((?[Xx:a]:
0.00/0.21	         ((app_encode_app(a,$o,Z,Xx) | app_encode_app(a,$o,Y,Xx)) & 
0.00/0.21	          app_encode_app(a,$o,X,Xx))) <=>
0.00/0.21	      ((?[Xx:a]: (app_encode_app(a,$o,Z,Xx) & app_encode_app(a,$o,X,Xx))) | 
0.00/0.21	       (?[Xx:a]: (app_encode_app(a,$o,Y,Xx) & app_encode_app(a,$o,X,Xx))))))).
0.00/0.21	tff(zf_stmt_0, type, zip_tseitin2 :
0.00/0.21	    (a * app_encode_fun(a,$o) * app_encode_fun(a,$o)) > $o).
0.00/0.21	tff(zf_stmt_1, axiom,
0.00/0.21	  (zip_tseitin2(Xx,Y,X) <=>
0.00/0.21	   (app_encode_app(a,$o,X,Xx) & app_encode_app(a,$o,Y,Xx)))).
0.00/0.21	tff(zf_stmt_2, type, zip_tseitin1 :
0.00/0.21	    (a * app_encode_fun(a,$o) * app_encode_fun(a,$o)) > $o).
0.00/0.21	tff(zf_stmt_3, axiom,
0.00/0.21	  (zip_tseitin1(Xx,Z,X) <=>
0.00/0.21	   (app_encode_app(a,$o,X,Xx) & app_encode_app(a,$o,Z,Xx)))).
0.00/0.21	tff(zf_stmt_4, type, zip_tseitin0 :
0.00/0.21	    (a * app_encode_fun(a,$o) * app_encode_fun(a,$o)) > $o).
0.00/0.21	tff(zf_stmt_5, axiom,
0.00/0.21	  (zip_tseitin0(Xx,Z,Y) <=>
0.00/0.21	   (app_encode_app(a,$o,Y,Xx) | app_encode_app(a,$o,Z,Xx)))).
0.00/0.21	tff(zf_stmt_6, conjecture,
0.00/0.21	  (![X:app_encode_fun(a,$o),Y:app_encode_fun(a,$o),Z:app_encode_fun(a,$o)]:
0.00/0.21	     ((?[Xx:a]: (app_encode_app(a,$o,X,Xx) & zip_tseitin0(Xx,Z,Y))) <=>
0.00/0.21	      ((?[Xx:a]: zip_tseitin2(Xx,Y,X)) | (?[Xx:a]: zip_tseitin1(Xx,Z,X)))))).
0.00/0.21	tff(zf_stmt_7, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (![X:app_encode_fun(a,$o),Y:app_encode_fun(a,$o),Z:app_encode_fun(a,$o)]:
0.00/0.21	       ((?[Xx:a]: (app_encode_app(a,$o,X,Xx) & zip_tseitin0(Xx,Z,Y))) <=>
0.00/0.21	        ((?[Xx:a]: zip_tseitin2(Xx,Y,X)) | (?[Xx:a]: zip_tseitin1(Xx,Z,X))))))).
0.00/0.21	tff('0', plain,
0.00/0.21	    (zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.21	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.21	tff('1', plain,
0.00/0.21	    ![X0 : app_encode_fun(a, $o), X1 : a, X2 : app_encode_fun(a, $o)]:
0.00/0.21	      (app_encode_app(a, $o, X0, X1)
0.00/0.21	       | app_encode_app(a, $o, X2, X1)
0.00/0.21	       | ~ zip_tseitin0(X1, X0, X2)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.21	tff('2', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.21	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	     | app_encode_app(a, $o, sk_Y, sk_Xx2)
0.00/0.21	     | app_encode_app(a, $o, sk_Z, sk_Xx2)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.21	tff('3', plain,
0.00/0.21	    (app_encode_app(a, $o, sk_Z, sk_Xx2)
0.00/0.21	     | app_encode_app(a, $o, sk_Y, sk_Xx2)
0.00/0.21	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)),
0.00/0.21	    inference('simplify', [status(thm)], ['2'])).
0.00/0.21	tff('4', plain,
0.00/0.21	    ![X0 : app_encode_fun(a, $o), X3 : app_encode_fun(a, $o), X4 : a]:
0.00/0.21	      (zip_tseitin1(X4, X0, X3)
0.00/0.21	       | ~ app_encode_app(a, $o, X0, X4)
0.00/0.21	       | ~ app_encode_app(a, $o, X3, X4)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.21	tff('5', plain,
0.00/0.21	    ![X7 : a, X8 : a]:
0.00/0.21	      (~ zip_tseitin1(X8, sk_Z, sk_X)
0.00/0.21	       | ~ zip_tseitin0(X7, sk_Z, sk_Y)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X7)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.21	tff('6', plain,
0.00/0.21	    ![X0 : a, X1 : a]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_Z, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X1)
0.00/0.21	       | ~ zip_tseitin0(X1, sk_Z, sk_Y)),
0.00/0.21	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X0 : a, X1 : a]:
0.00/0.21	      (~ zip_tseitin0(X1, sk_Z, sk_Y)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X1)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_Z, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X0)),
0.00/0.21	    inference('simplify', [status(thm)], ['6'])).
0.00/0.21	tff('8', plain,
0.00/0.21	    ![X0 : a]:
0.00/0.21	      (~ $true
0.00/0.21	       | zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.21	       | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_Z, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, sk_Xx2)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '7'])).
0.00/0.21	tff('9', plain,
0.00/0.21	    ![X0 : a]:
0.00/0.21	      (~ app_encode_app(a, $o, sk_X, sk_Xx2)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_Z, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.21	       | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	       | zip_tseitin2(sk_Xx1, sk_Y, sk_X)),
0.00/0.21	    inference('simplify', [status(thm)], ['8'])).
0.00/0.21	tff('10', plain,
0.00/0.21	    (zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.21	     | app_encode_app(a, $o, sk_X, sk_Xx2)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.21	tff('11', plain,
0.00/0.21	    ![X0 : a]:
0.00/0.21	      (zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.21	       | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_Z, X0)),
0.00/0.21	    inference('clc', [status(thm)], ['9', '10'])).
0.00/0.21	tff('12', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.21	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	     | app_encode_app(a, $o, sk_Y, sk_Xx2)
0.00/0.21	     | ~ app_encode_app(a, $o, sk_X, sk_Xx2)
0.00/0.21	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)),
0.00/0.21	    inference('sup-', [status(thm)], ['3', '11'])).
0.00/0.21	tff('13', plain,
0.00/0.21	    (~ app_encode_app(a, $o, sk_X, sk_Xx2)
0.00/0.21	     | app_encode_app(a, $o, sk_Y, sk_Xx2)
0.00/0.21	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)),
0.00/0.21	    inference('simplify', [status(thm)], ['12'])).
0.00/0.21	tff('14', plain,
0.00/0.21	    (zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.21	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.21	     | app_encode_app(a, $o, sk_Y, sk_Xx2)),
0.00/0.21	    inference('clc', [status(thm)], ['13', '10'])).
0.00/0.21	tff('15', plain,
0.00/0.21	    ![X2 : app_encode_fun(a, $o), X3 : app_encode_fun(a, $o), X5 : a]:
0.00/0.21	      (zip_tseitin2(X5, X2, X3)
0.00/0.21	       | ~ app_encode_app(a, $o, X2, X5)
0.00/0.21	       | ~ app_encode_app(a, $o, X3, X5)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.21	tff('16', plain,
0.00/0.21	    ![X6 : a, X7 : a]:
0.00/0.21	      (~ zip_tseitin2(X6, sk_Y, sk_X)
0.00/0.21	       | ~ zip_tseitin0(X7, sk_Z, sk_Y)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X7)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.21	tff('17', plain,
0.00/0.21	    ![X0 : a, X1 : a]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_Y, X0)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X1)
0.00/0.21	       | ~ zip_tseitin0(X1, sk_Z, sk_Y)),
0.00/0.21	    inference('sup-', [status(thm)], ['15', '16'])).
0.00/0.21	tff('18', plain,
0.00/0.21	    ![X0 : a, X1 : a]:
0.00/0.21	      (~ zip_tseitin0(X1, sk_Z, sk_Y)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_X, X1)
0.00/0.21	       | ~ app_encode_app(a, $o, sk_Y, X0)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['17'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ $true
0.00/0.22	       | zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.22	       | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_Y, X0)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, sk_Xx2)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ app_encode_app(a, $o, sk_X, sk_Xx2)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_Y, X0)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.22	       | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	       | zip_tseitin2(sk_Xx1, sk_Y, sk_X)),
0.00/0.22	    inference('simplify', [status(thm)], ['19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.22	       | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_Y, X0)),
0.00/0.22	    inference('clc', [status(thm)], ['20', '10'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.22	     | ~ app_encode_app(a, $o, sk_X, sk_Xx2)
0.00/0.22	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)),
0.00/0.22	    inference('sup-', [status(thm)], ['14', '21'])).
0.00/0.22	tff('23', plain,
0.00/0.22	    (~ app_encode_app(a, $o, sk_X, sk_Xx2)
0.00/0.22	     | zip_tseitin2(sk_Xx1, sk_Y, sk_X)
0.00/0.22	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)),
0.00/0.22	    inference('simplify', [status(thm)], ['22'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    (zip_tseitin1(sk_Xx, sk_Z, sk_X) | zip_tseitin2(sk_Xx1, sk_Y, sk_X)),
0.00/0.22	    inference('clc', [status(thm)], ['23', '10'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    ![X2 : app_encode_fun(a, $o), X3 : app_encode_fun(a, $o), X5 : a]:
0.00/0.22	      (app_encode_app(a, $o, X2, X5) | ~ zip_tseitin2(X5, X2, X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.22	tff('26', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	     | app_encode_app(a, $o, sk_Y, sk_Xx1)),
0.00/0.22	    inference('sup-', [status(thm)], ['24', '25'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    (app_encode_app(a, $o, sk_Y, sk_Xx1) | zip_tseitin1(sk_Xx, sk_Z, sk_X)),
0.00/0.22	    inference('simplify', [status(thm)], ['26'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    ![X0 : app_encode_fun(a, $o), X1 : a, X2 : app_encode_fun(a, $o)]:
0.00/0.22	      (zip_tseitin0(X1, X0, X2) | ~ app_encode_app(a, $o, X2, X1)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.22	tff('29', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ $true
0.00/0.22	       | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.22	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)),
0.00/0.22	    inference('sup-', [status(thm)], ['24', '16'])).
0.00/0.22	tff('30', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, X0)
0.00/0.22	       | zip_tseitin1(sk_Xx, sk_Z, sk_X)),
0.00/0.22	    inference('simplify', [status(thm)], ['29'])).
0.00/0.22	tff('31', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ app_encode_app(a, $o, sk_X, X0) | ~ zip_tseitin0(X0, sk_Z, sk_Y)),
0.00/0.22	    inference('clc', [status(thm)], ['30', '5'])).
0.00/0.22	tff('32', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app(a, $o, sk_Y, X0)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['28', '31'])).
0.00/0.22	tff('33', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ app_encode_app(a, $o, sk_X, X0) | ~ app_encode_app(a, $o, sk_Y, X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['32'])).
0.00/0.22	tff('34', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	     | ~ app_encode_app(a, $o, sk_X, sk_Xx1)),
0.00/0.22	    inference('sup-', [status(thm)], ['27', '33'])).
0.00/0.22	tff('35', plain,
0.00/0.22	    (~ app_encode_app(a, $o, sk_X, sk_Xx1) | zip_tseitin1(sk_Xx, sk_Z, sk_X)),
0.00/0.22	    inference('simplify', [status(thm)], ['34'])).
0.00/0.22	tff('36', plain,
0.00/0.22	    ![X2 : app_encode_fun(a, $o), X3 : app_encode_fun(a, $o), X5 : a]:
0.00/0.22	      (app_encode_app(a, $o, X3, X5) | ~ zip_tseitin2(X5, X2, X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.22	tff('37', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | zip_tseitin1(sk_Xx, sk_Z, sk_X)
0.00/0.22	     | app_encode_app(a, $o, sk_X, sk_Xx1)),
0.00/0.22	    inference('sup-', [status(thm)], ['24', '36'])).
0.00/0.22	tff('38', plain,
0.00/0.22	    (app_encode_app(a, $o, sk_X, sk_Xx1) | zip_tseitin1(sk_Xx, sk_Z, sk_X)),
0.00/0.22	    inference('simplify', [status(thm)], ['37'])).
0.00/0.22	tff('39', plain, zip_tseitin1(sk_Xx, sk_Z, sk_X),
0.00/0.22	    inference('clc', [status(thm)], ['35', '38'])).
0.00/0.22	tff('40', plain,
0.00/0.22	    ![X0 : app_encode_fun(a, $o), X3 : app_encode_fun(a, $o), X4 : a]:
0.00/0.22	      (app_encode_app(a, $o, X0, X4) | ~ zip_tseitin1(X4, X0, X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('41', plain, (~ $true | app_encode_app(a, $o, sk_Z, sk_Xx)),
0.00/0.22	    inference('sup-', [status(thm)], ['39', '40'])).
0.00/0.22	tff('42', plain, app_encode_app(a, $o, sk_Z, sk_Xx),
0.00/0.22	    inference('simplify', [status(thm)], ['41'])).
0.00/0.22	tff('43', plain,
0.00/0.22	    ![X0 : app_encode_fun(a, $o), X1 : a, X2 : app_encode_fun(a, $o)]:
0.00/0.22	      (zip_tseitin0(X1, X0, X2) | ~ app_encode_app(a, $o, X0, X1)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.22	tff('44', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app(a, $o, sk_Z, X0)
0.00/0.22	       | ~ app_encode_app(a, $o, sk_X, X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['43', '31'])).
0.00/0.22	tff('45', plain,
0.00/0.22	    ![X0 : a]:
0.00/0.22	      (~ app_encode_app(a, $o, sk_X, X0) | ~ app_encode_app(a, $o, sk_Z, X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['44'])).
0.00/0.22	tff('46', plain, (~ $true | ~ app_encode_app(a, $o, sk_X, sk_Xx)),
0.00/0.22	    inference('sup-', [status(thm)], ['42', '45'])).
0.00/0.22	tff('47', plain,
0.00/0.22	    ![X0 : app_encode_fun(a, $o), X3 : app_encode_fun(a, $o), X4 : a]:
0.00/0.22	      (app_encode_app(a, $o, X3, X4) | ~ zip_tseitin1(X4, X0, X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('48', plain, (~ $true | app_encode_app(a, $o, sk_X, sk_Xx)),
0.00/0.22	    inference('sup-', [status(thm)], ['39', '47'])).
0.00/0.22	tff('49', plain, app_encode_app(a, $o, sk_X, sk_Xx),
0.00/0.22	    inference('simplify', [status(thm)], ['48'])).
0.00/0.22	tff('50', plain, (~ $true | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['46', '49'])).
0.00/0.22	tff('51', plain, $false, inference('simplify', [status(thm)], ['50'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
