TSTP Solution File: ARI546_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI546_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n023.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 16:34:05 EDT 2024
% Result : Theorem 0.25s 0.53s
% Output : Proof 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : ARI546_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.16 % Command : do_cvc5 %s %d
% 0.17/0.38 % Computer : n023.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 27 05:34:39 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.25/0.51 %----Proving TF0_ARI
% 0.25/0.53 --- Run --finite-model-find --decision=internal at 15...
% 0.25/0.53 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.TK8McVjlfr/cvc5---1.0.5_2433.smt2
% 0.25/0.53 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.TK8McVjlfr/cvc5---1.0.5_2433.smt2
% 0.25/0.53 (assume a0 (not (exists ((X Int)) (= (- (- 4) (+ 0 (- 3))) X))))
% 0.25/0.53 (assume a1 true)
% 0.25/0.53 (step t1 (cl (not (= (not (exists ((X Int)) (= (- (- 4) (+ 0 (- 3))) X))) false)) (not (not (exists ((X Int)) (= (- (- 4) (+ 0 (- 3))) X)))) false) :rule equiv_pos2)
% 0.25/0.53 (anchor :step t2 :args ((X Int) (:= X X)))
% 0.25/0.53 (step t2.t1 (cl (= X X)) :rule refl)
% 0.25/0.53 (step t2.t2 (cl (= (- (- 4) (+ 0 (- 3))) (+ (- 4) (* (- 1) (+ 0 (- 3)))))) :rule all_simplify)
% 0.25/0.53 (step t2.t3 (cl (= (- 4) (- 4))) :rule refl)
% 0.25/0.53 (step t2.t4 (cl (= (- 1) (- 1))) :rule refl)
% 0.25/0.53 (step t2.t5 (cl (= (+ 0 (- 3)) (- 3))) :rule all_simplify)
% 0.25/0.53 (step t2.t6 (cl (= (* (- 1) (+ 0 (- 3))) (* (- 1) (- 3)))) :rule cong :premises (t2.t4 t2.t5))
% 0.25/0.53 (step t2.t7 (cl (= (* (- 1) (- 3)) 3)) :rule all_simplify)
% 0.25/0.53 (step t2.t8 (cl (= (* (- 1) (+ 0 (- 3))) 3)) :rule trans :premises (t2.t6 t2.t7))
% 0.25/0.53 (step t2.t9 (cl (= (+ (- 4) (* (- 1) (+ 0 (- 3)))) (+ (- 4) 3))) :rule cong :premises (t2.t3 t2.t8))
% 0.25/0.53 (step t2.t10 (cl (= (+ (- 4) 3) (- 1))) :rule all_simplify)
% 0.25/0.53 (step t2.t11 (cl (= (+ (- 4) (* (- 1) (+ 0 (- 3)))) (- 1))) :rule trans :premises (t2.t9 t2.t10))
% 0.25/0.53 (step t2.t12 (cl (= (- (- 4) (+ 0 (- 3))) (- 1))) :rule trans :premises (t2.t2 t2.t11))
% 0.25/0.53 (step t2.t13 (cl (= X X)) :rule refl)
% 0.25/0.53 (step t2.t14 (cl (= (= (- (- 4) (+ 0 (- 3))) X) (= (- 1) X))) :rule cong :premises (t2.t12 t2.t13))
% 0.25/0.53 (step t2.t15 (cl (= (= (- 1) X) (= X (- 1)))) :rule all_simplify)
% 0.25/0.53 (step t2.t16 (cl (= (= (- (- 4) (+ 0 (- 3))) X) (= X (- 1)))) :rule trans :premises (t2.t14 t2.t15))
% 0.25/0.53 (step t2 (cl (= (exists ((X Int)) (= (- (- 4) (+ 0 (- 3))) X)) (exists ((X Int)) (= X (- 1))))) :rule bind)
% 0.25/0.53 (step t3 (cl (= (exists ((X Int)) (= X (- 1))) (not (forall ((X Int)) (not (= X (- 1))))))) :rule all_simplify)
% 0.25/0.53 (step t4 (cl (= (forall ((X Int)) (not (= X (- 1)))) (not (= (- 1) (- 1))))) :rule all_simplify)
% 0.25/0.53 (step t5 (cl (= (= (- 1) (- 1)) true)) :rule all_simplify)
% 0.25/0.53 (step t6 (cl (= (not (= (- 1) (- 1))) (not true))) :rule cong :premises (t5))
% 0.25/0.53 (step t7 (cl (= (not true) false)) :rule all_simplify)
% 0.25/0.53 (step t8 (cl (= (not (= (- 1) (- 1))) false)) :rule trans :premises (t6 t7))
% 0.25/0.53 (step t9 (cl (= (forall ((X Int)) (not (= X (- 1)))) false)) :rule trans :premises (t4 t8))
% 0.25/0.53 (step t10 (cl (= (not (forall ((X Int)) (not (= X (- 1))))) (not false))) :rule cong :premises (t9))
% 0.25/0.53 (step t11 (cl (= (not false) true)) :rule all_simplify)
% 0.25/0.53 (step t12 (cl (= (not (forall ((X Int)) (not (= X (- 1))))) true)) :rule trans :premises (t10 t11))
% 0.25/0.53 (step t13 (cl (= (exists ((X Int)) (= X (- 1))) true)) :rule trans :premises (t3 t12))
% 0.25/0.53 (step t14 (cl (= (exists ((X Int)) (= (- (- 4) (+ 0 (- 3))) X)) true)) :rule trans :premises (t2 t13))
% 0.25/0.53 (step t15 (cl (= (not (exists ((X Int)) (= (- (- 4) (+ 0 (- 3))) X))) (not true))) :rule cong :premises (t14))
% 0.25/0.53 (step t16 (cl (= (not (exists ((X Int)) (= (- (- 4) (+ 0 (- 3))) X))) false)) :rule trans :premises (t15 t7))
% 0.25/0.53 (step t17 (cl false) :rule resolution :premises (t1 t16 a0))
% 0.25/0.53 (step t18 (cl (not false)) :rule false)
% 0.25/0.53 (step t19 (cl) :rule resolution :premises (t17 t18))
% 0.25/0.53
% 0.25/0.53 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.TK8McVjlfr/cvc5---1.0.5_2433.smt2
% 0.25/0.53 % cvc5---1.0.5 exiting
% 0.25/0.53 % cvc5---1.0.5 exiting
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