TSTP Solution File: SYO204^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO204^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n005.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 18:31:01 EDT 2024
% Result : Theorem 0.35s 0.53s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO204^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 28 06:30:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TH0
% 0.35/0.53 --- Run --ho-elim --full-saturate-quant at 10...
% 0.35/0.53 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.SLbZLAppSM/cvc5---1.0.5_6259.smt2
% 0.35/0.53 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.SLbZLAppSM/cvc5---1.0.5_6259.smt2
% 0.35/0.53 (assume a0 (not (exists ((Xz Bool) (Xx Bool)) (forall ((Xy Bool)) (=> Xx Xy)))))
% 0.35/0.53 (assume a1 true)
% 0.35/0.53 (step t1 (cl (not (= (not (exists ((Xz Bool) (Xx Bool)) (forall ((Xy Bool)) (=> Xx Xy)))) false)) (not (not (exists ((Xz Bool) (Xx Bool)) (forall ((Xy Bool)) (=> Xx Xy))))) false) :rule equiv_pos2)
% 0.35/0.53 (anchor :step t2 :args ((Xz Bool) (:= Xz Xz) (Xx Bool) (:= Xx Xx)))
% 0.35/0.53 (step t2.t1 (cl (= Xz Xz)) :rule refl)
% 0.35/0.53 (step t2.t2 (cl (= Xx Xx)) :rule refl)
% 0.35/0.53 (step t2.t3 (cl (= (forall ((Xy Bool)) (=> Xx Xy)) (forall ((Xy Bool)) (or (not Xx) Xy)))) :rule all_simplify)
% 0.35/0.53 (step t2.t4 (cl (= (forall ((Xy Bool)) (or (not Xx) Xy)) (or (not Xx) (forall ((Xy Bool)) Xy)))) :rule all_simplify)
% 0.35/0.53 (step t2.t5 (cl (= (not Xx) (not Xx))) :rule refl)
% 0.35/0.53 (step t2.t6 (cl (= (forall ((Xy Bool)) Xy) false)) :rule all_simplify)
% 0.35/0.53 (step t2.t7 (cl (= (or (not Xx) (forall ((Xy Bool)) Xy)) (or (not Xx) false))) :rule cong :premises (t2.t5 t2.t6))
% 0.35/0.53 (step t2.t8 (cl (= (or (not Xx) false) (not Xx))) :rule all_simplify)
% 0.35/0.53 (step t2.t9 (cl (= (or (not Xx) (forall ((Xy Bool)) Xy)) (not Xx))) :rule trans :premises (t2.t7 t2.t8))
% 0.35/0.53 (step t2.t10 (cl (= (forall ((Xy Bool)) (or (not Xx) Xy)) (not Xx))) :rule trans :premises (t2.t4 t2.t9))
% 0.35/0.53 (step t2.t11 (cl (= (forall ((Xy Bool)) (=> Xx Xy)) (not Xx))) :rule trans :premises (t2.t3 t2.t10))
% 0.35/0.53 (step t2 (cl (= (exists ((Xz Bool) (Xx Bool)) (forall ((Xy Bool)) (=> Xx Xy))) (exists ((Xz Bool) (Xx Bool)) (not Xx)))) :rule bind)
% 0.35/0.53 (step t3 (cl (= (exists ((Xz Bool) (Xx Bool)) (not Xx)) (not (forall ((Xz Bool) (Xx Bool)) Xx)))) :rule all_simplify)
% 0.35/0.53 (step t4 (cl (= (forall ((Xz Bool) (Xx Bool)) Xx) (forall ((Xx Bool)) Xx))) :rule all_simplify)
% 0.35/0.53 (step t5 (cl (= (forall ((Xx Bool)) Xx) false)) :rule all_simplify)
% 0.35/0.53 (step t6 (cl (= (forall ((Xz Bool) (Xx Bool)) Xx) false)) :rule trans :premises (t4 t5))
% 0.35/0.53 (step t7 (cl (= (not (forall ((Xz Bool) (Xx Bool)) Xx)) (not false))) :rule cong :premises (t6))
% 0.35/0.53 (step t8 (cl (= (not false) true)) :rule all_simplify)
% 0.35/0.53 (step t9 (cl (= (not (forall ((Xz Bool) (Xx Bool)) Xx)) true)) :rule trans :premises (t7 t8))
% 0.35/0.53 (step t10 (cl (= (exists ((Xz Bool) (Xx Bool)) (not Xx)) true)) :rule trans :premises (t3 t9))
% 0.35/0.53 (step t11 (cl (= (exists ((Xz Bool) (Xx Bool)) (forall ((Xy Bool)) (=> Xx Xy))) true)) :rule trans :premises (t2 t10))
% 0.35/0.53 (step t12 (cl (= (not (exists ((Xz Bool) (Xx Bool)) (forall ((Xy Bool)) (=> Xx Xy)))) (not true))) :rule cong :premises (t11))
% 0.35/0.53 (step t13 (cl (= (not true) false)) :rule all_simplify)
% 0.35/0.53 (step t14 (cl (= (not (exists ((Xz Bool) (Xx Bool)) (forall ((Xy Bool)) (=> Xx Xy)))) false)) :rule trans :premises (t12 t13))
% 0.35/0.53 (step t15 (cl false) :rule resolution :premises (t1 t14 a0))
% 0.35/0.53 (step t16 (cl (not false)) :rule false)
% 0.35/0.53 (step t17 (cl) :rule resolution :premises (t15 t16))
% 0.35/0.53
% 0.35/0.53 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.SLbZLAppSM/cvc5---1.0.5_6259.smt2
% 0.35/0.53 % cvc5---1.0.5 exiting
% 0.35/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------