TSTP Solution File: ARI078_1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI078_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n013.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 16:33:08 EDT 2024
% Result : Theorem 0.24s 0.55s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ARI078_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.15 % Command : do_cvc5 %s %d
% 0.14/0.38 % Computer : n013.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon May 27 05:29:09 EDT 2024
% 0.14/0.39 % CPUTime :
% 0.24/0.53 %----Proving TF0_ARI
% 0.24/0.55 --- Run --finite-model-find --decision=internal at 15...
% 0.24/0.55 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.H1DNIfHUMY/cvc5---1.0.5_25264.smt2
% 0.24/0.55 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.H1DNIfHUMY/cvc5---1.0.5_25264.smt2
% 0.24/0.55 (assume a0 (not (exists ((X Int)) (= (+ X 0) X))))
% 0.24/0.55 (assume a1 true)
% 0.24/0.55 (step t1 (cl (not (= (not (exists ((X Int)) (= (+ X 0) X))) false)) (not (not (exists ((X Int)) (= (+ X 0) X)))) false) :rule equiv_pos2)
% 0.24/0.55 (anchor :step t2 :args ((X Int) (:= X X)))
% 0.24/0.55 (step t2.t1 (cl (= X X)) :rule refl)
% 0.24/0.55 (step t2.t2 (cl (= (+ X 0) X)) :rule all_simplify)
% 0.24/0.55 (step t2.t3 (cl (= X X)) :rule refl)
% 0.24/0.55 (step t2.t4 (cl (= (= (+ X 0) X) (= X X))) :rule cong :premises (t2.t2 t2.t3))
% 0.24/0.55 (step t2.t5 (cl (= (= X X) true)) :rule all_simplify)
% 0.24/0.55 (step t2.t6 (cl (= (= (+ X 0) X) true)) :rule trans :premises (t2.t4 t2.t5))
% 0.24/0.55 (step t2 (cl (= (exists ((X Int)) (= (+ X 0) X)) (exists ((X Int)) true))) :rule bind)
% 0.24/0.55 (step t3 (cl (= (exists ((X Int)) true) (not (forall ((X Int)) (not true))))) :rule all_simplify)
% 0.24/0.55 (anchor :step t4 :args ((X Int) (:= X X)))
% 0.24/0.55 (step t4.t1 (cl (= X X)) :rule refl)
% 0.24/0.55 (step t4.t2 (cl (= (not true) false)) :rule all_simplify)
% 0.24/0.55 (step t4 (cl (= (forall ((X Int)) (not true)) (forall ((X Int)) false))) :rule bind)
% 0.24/0.55 (step t5 (cl (= (forall ((X Int)) false) false)) :rule all_simplify)
% 0.24/0.55 (step t6 (cl (= (forall ((X Int)) (not true)) false)) :rule trans :premises (t4 t5))
% 0.24/0.55 (step t7 (cl (= (not (forall ((X Int)) (not true))) (not false))) :rule cong :premises (t6))
% 0.24/0.55 (step t8 (cl (= (not false) true)) :rule all_simplify)
% 0.24/0.55 (step t9 (cl (= (not (forall ((X Int)) (not true))) true)) :rule trans :premises (t7 t8))
% 0.24/0.55 (step t10 (cl (= (exists ((X Int)) true) true)) :rule trans :premises (t3 t9))
% 0.24/0.55 (step t11 (cl (= (exists ((X Int)) (= (+ X 0) X)) true)) :rule trans :premises (t2 t10))
% 0.24/0.55 (step t12 (cl (= (not (exists ((X Int)) (= (+ X 0) X))) (not true))) :rule cong :premises (t11))
% 0.24/0.55 (step t13 (cl (= (not true) false)) :rule all_simplify)
% 0.24/0.55 (step t14 (cl (= (not (exists ((X Int)) (= (+ X 0) X))) false)) :rule trans :premises (t12 t13))
% 0.24/0.55 (step t15 (cl false) :rule resolution :premises (t1 t14 a0))
% 0.24/0.55 (step t16 (cl (not false)) :rule false)
% 0.24/0.55 (step t17 (cl) :rule resolution :premises (t15 t16))
% 0.24/0.55
% 0.24/0.55 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.H1DNIfHUMY/cvc5---1.0.5_25264.smt2
% 0.24/0.55 % cvc5---1.0.5 exiting
% 0.24/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------