TSTP Solution File: NUM671^1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM671^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 17:34:35 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM671^1 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 28 00:06:24 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.51 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.Lu8fMJZeKg/cvc5---1.0.5_23053.smt2
% 0.21/0.51 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.Lu8fMJZeKg/cvc5---1.0.5_23053.smt2
% 0.21/0.51 (assume a0 (= tptp.x tptp.y))
% 0.21/0.51 (assume a1 (not (= (@ (@ tptp.pl tptp.x) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))))
% 0.21/0.51 (assume a2 true)
% 0.21/0.51 (step t1 (cl (not (= (not (= (@ (@ tptp.pl tptp.x) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))) false)) (not (not (= (@ (@ tptp.pl tptp.x) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z)))) false) :rule equiv_pos2)
% 0.21/0.51 (step t2 (cl (= tptp.pl tptp.pl)) :rule refl)
% 0.21/0.51 (step t3 (cl (= (@ tptp.pl tptp.x) (@ tptp.pl tptp.y))) :rule cong :premises (t2 a0))
% 0.21/0.51 (step t4 (cl (= tptp.z tptp.z)) :rule refl)
% 0.21/0.51 (step t5 (cl (= (@ (@ tptp.pl tptp.x) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))) :rule cong :premises (t3 t4))
% 0.21/0.51 (step t6 (cl (= (@ (@ tptp.pl tptp.y) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))) :rule refl)
% 0.21/0.51 (step t7 (cl (= (= (@ (@ tptp.pl tptp.x) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z)) (= (@ (@ tptp.pl tptp.y) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z)))) :rule cong :premises (t5 t6))
% 0.21/0.51 (step t8 (cl (= (not (= (@ (@ tptp.pl tptp.x) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))) (not (= (@ (@ tptp.pl tptp.y) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))))) :rule cong :premises (t7))
% 0.21/0.51 (step t9 (cl (= (= (@ (@ tptp.pl tptp.y) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z)) true)) :rule all_simplify)
% 0.21/0.51 (step t10 (cl (= (not (= (@ (@ tptp.pl tptp.y) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))) (not true))) :rule cong :premises (t9))
% 0.21/0.51 (step t11 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.51 (step t12 (cl (= (not (= (@ (@ tptp.pl tptp.y) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))) false)) :rule trans :premises (t10 t11))
% 0.21/0.51 (step t13 (cl (= (not (= (@ (@ tptp.pl tptp.x) tptp.z) (@ (@ tptp.pl tptp.y) tptp.z))) false)) :rule trans :premises (t8 t12))
% 0.21/0.51 (step t14 (cl false) :rule resolution :premises (t1 t13 a1))
% 0.21/0.51 (step t15 (cl (not false)) :rule false)
% 0.21/0.51 (step t16 (cl) :rule resolution :premises (t14 t15))
% 0.21/0.51
% 0.21/0.51 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.Lu8fMJZeKg/cvc5---1.0.5_23053.smt2
% 0.21/0.51 % cvc5---1.0.5 exiting
% 0.21/0.51 % cvc5---1.0.5 exiting
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