TSTP Solution File: SYO192^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO192^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n017.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 18:30:59 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO192^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n017.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 06:36:24 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 0.20/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.57lGVw23kh/cvc5---1.0.5_31868.smt2
% 0.20/0.52 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.57lGVw23kh/cvc5---1.0.5_31868.smt2
% 0.20/0.52 (assume a0 (not (exists ((Xx Bool) (Xy Bool)) (= Xx Xy))))
% 0.20/0.52 (assume a1 true)
% 0.20/0.52 (step t1 (cl (not (= (not (exists ((Xx Bool) (Xy Bool)) (= Xx Xy))) false)) (not (not (exists ((Xx Bool) (Xy Bool)) (= Xx Xy)))) false) :rule equiv_pos2)
% 0.20/0.52 (step t2 (cl (= (exists ((Xx Bool) (Xy Bool)) (= Xx Xy)) (not (forall ((Xx Bool) (Xy Bool)) (not (= Xx Xy)))))) :rule all_simplify)
% 0.20/0.52 (step t3 (cl (= (forall ((Xx Bool) (Xy Bool)) (not (= Xx Xy))) (forall ((Xx Bool) (Xy Bool)) (= (not Xx) Xy)))) :rule all_simplify)
% 0.20/0.52 (anchor :step t4 :args ((Xx Bool) (:= Xx Xx) (Xy Bool) (:= Xy Xy)))
% 0.20/0.52 (step t4.t1 (cl (= Xx Xx)) :rule refl)
% 0.20/0.52 (step t4.t2 (cl (= Xy Xy)) :rule refl)
% 0.20/0.52 (step t4.t3 (cl (= (= (not Xx) Xy) (= Xy (not Xx)))) :rule all_simplify)
% 0.20/0.52 (step t4 (cl (= (forall ((Xx Bool) (Xy Bool)) (= (not Xx) Xy)) (forall ((Xx Bool) (Xy Bool)) (= Xy (not Xx))))) :rule bind)
% 0.20/0.52 (step t5 (cl (= (forall ((Xx Bool) (Xy Bool)) (= Xy (not Xx))) (forall ((Xx Bool)) (= Xx (not Xx))))) :rule all_simplify)
% 0.20/0.52 (anchor :step t6 :args ((Xx Bool) (:= Xx Xx)))
% 0.20/0.52 (step t6.t1 (cl (= Xx Xx)) :rule refl)
% 0.20/0.52 (step t6.t2 (cl (= (= Xx (not Xx)) false)) :rule all_simplify)
% 0.20/0.52 (step t6 (cl (= (forall ((Xx Bool)) (= Xx (not Xx))) (forall ((Xx Bool)) false))) :rule bind)
% 0.20/0.52 (step t7 (cl (= (forall ((Xx Bool)) false) false)) :rule all_simplify)
% 0.20/0.52 (step t8 (cl (= (forall ((Xx Bool)) (= Xx (not Xx))) false)) :rule trans :premises (t6 t7))
% 0.20/0.52 (step t9 (cl (= (forall ((Xx Bool) (Xy Bool)) (= Xy (not Xx))) false)) :rule trans :premises (t5 t8))
% 0.20/0.52 (step t10 (cl (= (forall ((Xx Bool) (Xy Bool)) (= (not Xx) Xy)) false)) :rule trans :premises (t4 t9))
% 0.20/0.52 (step t11 (cl (= (forall ((Xx Bool) (Xy Bool)) (not (= Xx Xy))) false)) :rule trans :premises (t3 t10))
% 0.20/0.52 (step t12 (cl (= (not (forall ((Xx Bool) (Xy Bool)) (not (= Xx Xy)))) (not false))) :rule cong :premises (t11))
% 0.20/0.52 (step t13 (cl (= (not false) true)) :rule all_simplify)
% 0.20/0.52 (step t14 (cl (= (not (forall ((Xx Bool) (Xy Bool)) (not (= Xx Xy)))) true)) :rule trans :premises (t12 t13))
% 0.20/0.52 (step t15 (cl (= (exists ((Xx Bool) (Xy Bool)) (= Xx Xy)) true)) :rule trans :premises (t2 t14))
% 0.20/0.52 (step t16 (cl (= (not (exists ((Xx Bool) (Xy Bool)) (= Xx Xy))) (not true))) :rule cong :premises (t15))
% 0.20/0.52 (step t17 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.52 (step t18 (cl (= (not (exists ((Xx Bool) (Xy Bool)) (= Xx Xy))) false)) :rule trans :premises (t16 t17))
% 0.20/0.52 (step t19 (cl false) :rule resolution :premises (t1 t18 a0))
% 0.20/0.52 (step t20 (cl (not false)) :rule false)
% 0.20/0.52 (step t21 (cl) :rule resolution :premises (t19 t20))
% 0.20/0.52
% 0.20/0.52 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.57lGVw23kh/cvc5---1.0.5_31868.smt2
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------