0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
0.00/0.00	% Ordering    : kbo
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-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n189.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 09:51:24 CST 2018
75.82/76.08	% done 9876 iterations in 75.879s
75.82/76.08	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
75.82/76.08	% SZS output start Refutation
75.82/76.08	tff(fact_7_one__power2, axiom,
75.82/76.08	  (![A:$tType]:
75.82/76.08	     (semiring_1(A) =>
75.82/76.08	      (power_power(A,one_one(A),number_number_of(nat,bit0(bit1(pls)))) =
75.82/76.08	       one_one(A))))).
75.82/76.08	tff('0', plain,
75.82/76.08	    ![X2 : $tType]:
75.82/76.08	      (power_power(X2, one_one(X2), number_number_of(nat, bit0(bit1(pls))))
75.82/76.08	        = one_one(X2)
75.82/76.08	       | ~ semiring_1(X2)),
75.82/76.08	    inference('cnf', [status(esa)], [fact_7_one__power2])).
75.82/76.08	tff(fact_57_power2__abs, axiom,
75.82/76.08	  (![A:$tType]:
75.82/76.08	     (linordered_idom(A) =>
75.82/76.08	      (![A1:A]:
75.82/76.08	         (power_power(A,abs_abs(A,A1),number_number_of(nat,bit0(bit1(pls)))) =
75.82/76.08	          power_power(A,A1,number_number_of(nat,bit0(bit1(pls))))))))).
75.82/76.08	tff('1', plain,
75.82/76.08	    ![X86 : $tType, X87 : X86]:
75.82/76.08	      (power_power(X86, abs_abs(X86, X87), 
75.82/76.08	         number_number_of(nat, bit0(bit1(pls))))
75.82/76.08	        = power_power(X86, X87, number_number_of(nat, bit0(bit1(pls))))
75.82/76.08	       | ~ linordered_idom(X86)),
75.82/76.08	    inference('cnf', [status(esa)], [fact_57_power2__abs])).
75.82/76.08	tff(fact_1__096abs_A_I2_A_K_Ax_J_A_094_A2_A_060_061_A1_A_094_A2_096, axiom,
75.82/76.08	  (ord_less_eq(real,
75.82/76.08	               power_power(real,
75.82/76.08	                           abs_abs(real,
75.82/76.08	                                   times_times(real,
75.82/76.08	                                               number_number_of(real,
75.82/76.08	                                                                bit0(
75.82/76.08	                                                                bit1(pls))),
75.82/76.08	                                               x)),
75.82/76.08	                           number_number_of(nat,bit0(bit1(pls)))),
75.82/76.08	               power_power(real,one_one(real),
75.82/76.08	                           number_number_of(nat,bit0(bit1(pls))))))).
75.82/76.08	tff('2', plain,
75.82/76.08	    ord_less_eq(real, 
75.82/76.08	      power_power(real, 
75.82/76.08	        abs_abs(real, 
75.82/76.08	          times_times(real, number_number_of(real, bit0(bit1(pls))), x)), 
75.82/76.08	        number_number_of(nat, bit0(bit1(pls)))), 
75.82/76.08	      power_power(real, one_one(real), 
75.82/76.08	        number_number_of(nat, bit0(bit1(pls))))),
75.82/76.08	    inference('cnf', [status(esa)],
75.82/76.08	              [fact_1__096abs_A_I2_A_K_Ax_J_A_094_A2_A_060_061_A1_A_094_A2_096])).
75.82/76.08	tff('3', plain,
75.82/76.08	    (ord_less_eq(real, 
75.82/76.08	       power_power(real, 
75.82/76.08	         times_times(real, number_number_of(real, bit0(bit1(pls))), x), 
75.82/76.08	         number_number_of(nat, bit0(bit1(pls)))), 
75.82/76.08	       power_power(real, one_one(real), 
75.82/76.08	         number_number_of(nat, bit0(bit1(pls)))))
75.82/76.08	     | ~ linordered_idom(real)),
75.82/76.08	    inference('sup+', [status(thm)], ['1', '2'])).
75.82/76.08	tff(arity_RealDef_Oreal___Rings_Olinordered__idom, axiom,
75.82/76.08	  (linordered_idom(real))).
75.82/76.08	tff('4', plain, linordered_idom(real),
75.82/76.08	    inference('cnf', [status(esa)],
75.82/76.08	              [arity_RealDef_Oreal___Rings_Olinordered__idom])).
75.82/76.08	tff('5', plain,
75.82/76.08	    (ord_less_eq(real, 
75.82/76.08	       power_power(real, 
75.82/76.08	         times_times(real, number_number_of(real, bit0(bit1(pls))), x), 
75.82/76.08	         number_number_of(nat, bit0(bit1(pls)))), 
75.82/76.08	       power_power(real, one_one(real), 
75.82/76.08	         number_number_of(nat, bit0(bit1(pls)))))
75.82/76.08	     | ~ $true),
75.82/76.08	    inference('demod', [status(thm)], ['3', '4'])).
75.82/76.08	tff('6', plain,
75.82/76.08	    ord_less_eq(real, 
75.82/76.08	      power_power(real, 
75.82/76.08	        times_times(real, number_number_of(real, bit0(bit1(pls))), x), 
75.82/76.08	        number_number_of(nat, bit0(bit1(pls)))), 
75.82/76.08	      power_power(real, one_one(real), 
75.82/76.08	        number_number_of(nat, bit0(bit1(pls))))),
75.82/76.08	    inference('simplify', [status(thm)], ['5'])).
75.82/76.08	tff(fact_13_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J, axiom,
75.82/76.08	  (![A:$tType]:
75.82/76.08	     (comm_semiring_1(A) =>
75.82/76.08	      (![X:A]:
75.82/76.08	         (times_times(A,X,X) =
75.82/76.08	          power_power(A,X,number_number_of(nat,bit0(bit1(pls))))))))).
75.82/76.08	tff('7', plain,
75.82/76.08	    ![X12 : $tType, X13 : X12]:
75.82/76.08	      (times_times(X12, X13, X13)
75.82/76.08	        = power_power(X12, X13, number_number_of(nat, bit0(bit1(pls))))
75.82/76.08	       | ~ comm_semiring_1(X12)),
75.82/76.08	    inference('cnf', [status(esa)],
75.82/76.08	              [fact_13_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J])).
75.82/76.08	tff(fact_11_four__x__squared, axiom,
75.82/76.08	  (![X:real]:
75.82/76.08	     (times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),
75.82/76.08	                  power_power(real,X,number_number_of(nat,bit0(bit1(pls))))) =
75.82/76.08	      power_power(real,
75.82/76.08	                  times_times(real,number_number_of(real,bit0(bit1(pls))),X),
75.82/76.08	                  number_number_of(nat,bit0(bit1(pls))))))).
75.82/76.08	tff('8', plain,
75.82/76.08	    ![X10 : real]:
75.82/76.08	      times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	        power_power(real, X10, number_number_of(nat, bit0(bit1(pls)))))
75.82/76.08	       = power_power(real, 
75.82/76.08	           times_times(real, number_number_of(real, bit0(bit1(pls))), X10), 
75.82/76.08	           number_number_of(nat, bit0(bit1(pls)))),
75.82/76.08	    inference('cnf', [status(esa)], [fact_11_four__x__squared])).
75.82/76.08	tff('9', plain,
75.82/76.08	    ![X0 : real]:
75.82/76.08	      (times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	         times_times(real, X0, X0))
75.82/76.08	        = power_power(real, 
75.82/76.08	            times_times(real, number_number_of(real, bit0(bit1(pls))), X0), 
75.82/76.08	            number_number_of(nat, bit0(bit1(pls))))
75.82/76.08	       | ~ comm_semiring_1(real)),
75.82/76.08	    inference('sup+', [status(thm)], ['7', '8'])).
75.82/76.08	tff(arity_RealDef_Oreal___Rings_Ocomm__semiring__1, axiom,
75.82/76.08	  (comm_semiring_1(real))).
75.82/76.08	tff('10', plain, comm_semiring_1(real),
75.82/76.08	    inference('cnf', [status(esa)],
75.82/76.08	              [arity_RealDef_Oreal___Rings_Ocomm__semiring__1])).
75.82/76.08	tff('11', plain,
75.82/76.08	    ![X0 : real]:
75.82/76.08	      (times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	         times_times(real, X0, X0))
75.82/76.08	        = power_power(real, 
75.82/76.08	            times_times(real, number_number_of(real, bit0(bit1(pls))), X0), 
75.82/76.08	            number_number_of(nat, bit0(bit1(pls))))
75.82/76.08	       | ~ $true),
75.82/76.08	    inference('demod', [status(thm)], ['9', '10'])).
75.82/76.08	tff('12', plain,
75.82/76.08	    ![X0 : real]:
75.82/76.08	      times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	        times_times(real, X0, X0))
75.82/76.08	       = power_power(real, 
75.82/76.08	           times_times(real, number_number_of(real, bit0(bit1(pls))), X0), 
75.82/76.08	           number_number_of(nat, bit0(bit1(pls)))),
75.82/76.08	    inference('simplify', [status(thm)], ['11'])).
75.82/76.08	tff('13', plain,
75.82/76.08	    ord_less_eq(real, 
75.82/76.08	      times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	        times_times(real, x, x)), 
75.82/76.08	      power_power(real, one_one(real), 
75.82/76.08	        number_number_of(nat, bit0(bit1(pls))))),
75.82/76.08	    inference('demod', [status(thm)], ['6', '12'])).
75.82/76.08	tff('14', plain,
75.82/76.08	    (ord_less_eq(real, 
75.82/76.08	       times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	         times_times(real, x, x)), one_one(real))
75.82/76.08	     | ~ semiring_1(real)),
75.82/76.08	    inference('sup+', [status(thm)], ['0', '13'])).
75.82/76.08	tff(arity_RealDef_Oreal___Rings_Osemiring__1, axiom, (semiring_1(real))).
75.82/76.08	tff('15', plain, semiring_1(real),
75.82/76.08	    inference('cnf', [status(esa)],
75.82/76.08	              [arity_RealDef_Oreal___Rings_Osemiring__1])).
75.82/76.08	tff('16', plain,
75.82/76.08	    (ord_less_eq(real, 
75.82/76.08	       times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	         times_times(real, x, x)), one_one(real))
75.82/76.08	     | ~ $true),
75.82/76.08	    inference('demod', [status(thm)], ['14', '15'])).
75.82/76.08	tff('17', plain,
75.82/76.08	    ord_less_eq(real, 
75.82/76.08	      times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	        times_times(real, x, x)), one_one(real)),
75.82/76.08	    inference('simplify', [status(thm)], ['16'])).
75.82/76.08	tff(conj_0, conjecture,
75.82/76.08	  (ord_less_eq(real,
75.82/76.08	               times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),
75.82/76.08	                           power_power(real,x,
75.82/76.08	                                       number_number_of(nat,bit0(bit1(pls))))),
75.82/76.08	               one_one(real)))).
75.82/76.08	tff(zf_stmt_0, negated_conjecture,
75.82/76.08	  (~
75.82/76.08	    ord_less_eq(real,
75.82/76.08	                times_times(real,
75.82/76.08	                            number_number_of(real,bit0(bit0(bit1(pls)))),
75.82/76.08	                            power_power(real,x,
75.82/76.08	                                        number_number_of(nat,bit0(bit1(pls))))),
75.82/76.08	                one_one(real)))).
75.82/76.08	tff('18', plain,
75.82/76.08	    ~ ord_less_eq(real, 
75.82/76.08	        times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	          power_power(real, x, number_number_of(nat, bit0(bit1(pls))))), 
75.82/76.08	        one_one(real)),
75.82/76.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
75.82/76.08	tff('19', plain,
75.82/76.08	    ~ ord_less_eq(real, 
75.82/76.08	        power_power(real, 
75.82/76.08	          times_times(real, number_number_of(real, bit0(bit1(pls))), x), 
75.82/76.08	          number_number_of(nat, bit0(bit1(pls)))), one_one(real)),
75.82/76.08	    inference('demod', [status(thm)], ['18', '8'])).
75.82/76.08	tff('20', plain,
75.82/76.08	    ~ ord_less_eq(real, 
75.82/76.08	        times_times(real, number_number_of(real, bit0(bit0(bit1(pls)))), 
75.82/76.08	          times_times(real, x, x)), one_one(real)),
75.82/76.08	    inference('demod', [status(thm)], ['19', '12'])).
75.82/76.08	tff('21', plain, ~ $true, inference('sup-', [status(thm)], ['17', '20'])).
75.82/76.08	tff('22', plain, $false, inference('simplify', [status(thm)], ['21'])).
75.82/76.08	
75.82/76.08	% SZS output end Refutation
75.82/76.09	EOF
