0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n134.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 09:45:55 CST 2018
0.68/0.91	% done 826 iterations in 0.711s
0.68/0.91	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.68/0.91	% SZS output start Refutation
0.68/0.91	tff(conj_0, conjecture,
0.68/0.91	  (ord_less_eq(real,
0.68/0.91	               norm_norm(complex,
0.68/0.91	                         aa(complex,complex,
0.68/0.91	                            poly(complex,pCons(complex,c,cs)),z)),
0.68/0.91	               plus_plus(real,norm_norm(complex,c),
0.68/0.91	                         norm_norm(complex,
0.68/0.91	                                   times_times(complex,z,
0.68/0.91	                                               aa(complex,complex,
0.68/0.91	                                                  poly(complex,cs),z))))))).
0.68/0.91	tff(zf_stmt_0, negated_conjecture,
0.68/0.91	  (~
0.68/0.91	    ord_less_eq(real,
0.68/0.91	                norm_norm(complex,
0.68/0.91	                          aa(complex,complex,
0.68/0.91	                             poly(complex,pCons(complex,c,cs)),z)),
0.68/0.91	                plus_plus(real,norm_norm(complex,c),
0.68/0.91	                          norm_norm(complex,
0.68/0.91	                                    times_times(complex,z,
0.68/0.91	                                                aa(complex,complex,
0.68/0.91	                                                   poly(complex,cs),z))))))).
0.68/0.91	tff('0', plain,
0.68/0.91	    ~ ord_less_eq(real, 
0.68/0.91	        norm_norm(complex, 
0.68/0.91	          aa(complex, complex, poly(complex, pCons(complex, c, cs)), z)), 
0.68/0.91	        plus_plus(real, norm_norm(complex, c), 
0.68/0.91	          norm_norm(complex, 
0.68/0.91	            times_times(complex, z, 
0.68/0.91	              aa(complex, complex, poly(complex, cs), z))))),
0.68/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.91	tff(arity_Complex_Ocomplex___Rings_Ocomm__semiring__0, axiom,
0.68/0.91	  (comm_semiring_0(complex))).
0.68/0.91	tff('1', plain, comm_semiring_0(complex),
0.68/0.91	    inference('cnf', [status(esa)],
0.68/0.91	              [arity_Complex_Ocomplex___Rings_Ocomm__semiring__0])).
0.68/0.91	tff(fact_4_poly__pCons, axiom,
0.68/0.91	  (![A:$tType]:
0.68/0.91	     (comm_semiring_0(A) =>
0.68/0.91	      (![X1:A,P:poly1(A),A1:A]:
0.68/0.91	         (aa(A,A,poly(A,pCons(A,A1,P)),X1) =
0.68/0.91	          plus_plus(A,A1,times_times(A,X1,aa(A,A,poly(A,P),X1)))))))).
0.68/0.91	tff('2', plain,
0.68/0.91	    ![X1 : $tType, X2 : X1, X3 : X1, X4 : poly1(X1)]:
0.68/0.91	      (aa(X1, X1, poly(X1, pCons(X1, X2, X4)), X3)
0.68/0.91	        = plus_plus(X1, X2, 
0.68/0.91	            times_times(X1, X3, aa(X1, X1, poly(X1, X4), X3)))
0.68/0.91	       | ~ comm_semiring_0(X1)),
0.68/0.91	    inference('cnf', [status(esa)], [fact_4_poly__pCons])).
0.68/0.91	tff('3', plain,
0.68/0.91	    ![X0 : complex, X1 : poly1(complex), X2 : complex]:
0.68/0.91	      (~ $true
0.68/0.91	       | aa(complex, complex, poly(complex, pCons(complex, X2, X1)), X0)
0.68/0.91	          = plus_plus(complex, X2, 
0.68/0.91	              times_times(complex, X0, 
0.68/0.91	                aa(complex, complex, poly(complex, X1), X0)))),
0.68/0.91	    inference('sup-', [status(thm)], ['1', '2'])).
0.68/0.91	tff('4', plain,
0.68/0.91	    ![X0 : complex, X1 : poly1(complex), X2 : complex]:
0.68/0.91	      aa(complex, complex, poly(complex, pCons(complex, X2, X1)), X0)
0.68/0.91	       = plus_plus(complex, X2, 
0.68/0.91	           times_times(complex, X0, 
0.68/0.91	             aa(complex, complex, poly(complex, X1), X0))),
0.68/0.91	    inference('simplify', [status(thm)], ['3'])).
0.68/0.91	tff(arity_Complex_Ocomplex___RealVector_Oreal__normed__div__algebra, axiom,
0.68/0.91	  (real_n1866405975lgebra(complex))).
0.68/0.91	tff('5', plain, real_n1866405975lgebra(complex),
0.68/0.91	    inference('cnf', [status(esa)],
0.68/0.91	              [arity_Complex_Ocomplex___RealVector_Oreal__normed__div__algebra])).
0.68/0.91	tff(fact_29_norm__mult, axiom,
0.68/0.91	  (![A:$tType]:
0.68/0.91	     (real_n1866405975lgebra(A) =>
0.68/0.91	      (![Y1:A,X1:A]:
0.68/0.91	         (norm_norm(A,times_times(A,X1,Y1)) =
0.68/0.91	          times_times(real,norm_norm(A,X1),norm_norm(A,Y1))))))).
0.68/0.91	tff('6', plain,
0.68/0.91	    ![X102 : $tType, X103 : X102, X104 : X102]:
0.68/0.91	      (norm_norm(X102, times_times(X102, X103, X104))
0.68/0.91	        = times_times(real, norm_norm(X102, X103), norm_norm(X102, X104))
0.68/0.91	       | ~ real_n1866405975lgebra(X102)),
0.68/0.91	    inference('cnf', [status(esa)], [fact_29_norm__mult])).
0.68/0.91	tff('7', plain,
0.68/0.91	    ![X0 : complex, X1 : complex]:
0.68/0.91	      (~ $true
0.68/0.91	       | norm_norm(complex, times_times(complex, X1, X0))
0.68/0.91	          = times_times(real, norm_norm(complex, X1), norm_norm(complex, X0))),
0.68/0.91	    inference('sup-', [status(thm)], ['5', '6'])).
0.68/0.91	tff('8', plain,
0.68/0.91	    ![X0 : complex, X1 : complex]:
0.68/0.91	      norm_norm(complex, times_times(complex, X1, X0))
0.68/0.91	       = times_times(real, norm_norm(complex, X1), norm_norm(complex, X0)),
0.68/0.91	    inference('simplify', [status(thm)], ['7'])).
0.68/0.91	tff(arity_Complex_Ocomplex___RealVector_Oreal__normed__vector, axiom,
0.68/0.91	  (real_normed_vector(complex))).
0.68/0.91	tff('9', plain, real_normed_vector(complex),
0.68/0.91	    inference('cnf', [status(esa)],
0.68/0.91	              [arity_Complex_Ocomplex___RealVector_Oreal__normed__vector])).
0.68/0.91	tff(fact_10_norm__triangle__ineq, axiom,
0.68/0.91	  (![A:$tType]:
0.68/0.91	     (real_normed_vector(A) =>
0.68/0.91	      (![Y1:A,X1:A]:
0.68/0.91	         ord_less_eq(real,norm_norm(A,plus_plus(A,X1,Y1)),
0.68/0.91	                     plus_plus(real,norm_norm(A,X1),norm_norm(A,Y1))))))).
0.68/0.91	tff('10', plain,
0.68/0.91	    ![X28 : $tType, X29 : X28, X30 : X28]:
0.68/0.91	      (ord_less_eq(real, norm_norm(X28, plus_plus(X28, X29, X30)), 
0.68/0.91	         plus_plus(real, norm_norm(X28, X29), norm_norm(X28, X30)))
0.68/0.91	       | ~ real_normed_vector(X28)),
0.68/0.91	    inference('cnf', [status(esa)], [fact_10_norm__triangle__ineq])).
0.68/0.91	tff('11', plain,
0.68/0.91	    ![X0 : complex, X1 : complex]:
0.68/0.91	      (~ $true
0.68/0.91	       | ord_less_eq(real, norm_norm(complex, plus_plus(complex, X1, X0)), 
0.68/0.91	           plus_plus(real, norm_norm(complex, X1), norm_norm(complex, X0)))),
0.68/0.91	    inference('sup-', [status(thm)], ['9', '10'])).
0.68/0.91	tff('12', plain,
0.68/0.91	    ![X0 : complex, X1 : complex]:
0.68/0.91	      ord_less_eq(real, norm_norm(complex, plus_plus(complex, X1, X0)), 
0.68/0.91	        plus_plus(real, norm_norm(complex, X1), norm_norm(complex, X0))),
0.68/0.91	    inference('simplify', [status(thm)], ['11'])).
0.68/0.91	tff('13', plain,
0.68/0.91	    ![X0 : complex, X1 : complex, X2 : complex]:
0.68/0.91	      ord_less_eq(real, 
0.68/0.91	        norm_norm(complex, 
0.68/0.91	          plus_plus(complex, X2, times_times(complex, X1, X0))), 
0.68/0.91	        plus_plus(real, norm_norm(complex, X2), 
0.68/0.91	          times_times(real, norm_norm(complex, X1), norm_norm(complex, X0)))),
0.68/0.91	    inference('sup+', [status(thm)], ['8', '12'])).
0.68/0.91	tff('14', plain, ~ $true,
0.68/0.91	    inference('demod', [status(thm)], ['0', '4', '8', '13'])).
0.68/0.91	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
0.68/0.91	
0.68/0.91	% SZS output end Refutation
0.73/0.91	EOF
