TSTP Solution File: NUM877_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM877_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n022.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 17:35:15 EDT 2024
% Result : Theorem 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM877_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n022.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 00:57:24 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.22/0.50 %----Proving TF0_ARI
% 0.22/0.53 --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.53 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.Szt6hyjB8d/cvc5---1.0.5_8457.smt2
% 0.22/0.53 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.Szt6hyjB8d/cvc5---1.0.5_8457.smt2
% 0.22/0.53 (assume a0 (not (forall ((X Int) (Y Int)) (=> (= (- X Y) 0) (= X Y)))))
% 0.22/0.53 (assume a1 true)
% 0.22/0.53 (step t1 (cl (not (= (not (forall ((X Int) (Y Int)) (=> (= (- X Y) 0) (= X Y)))) false)) (not (not (forall ((X Int) (Y Int)) (=> (= (- X Y) 0) (= X Y))))) false) :rule equiv_pos2)
% 0.22/0.53 (anchor :step t2 :args ((X Int) (:= X X) (Y Int) (:= Y Y)))
% 0.22/0.53 (step t2.t1 (cl (= X X)) :rule refl)
% 0.22/0.53 (step t2.t2 (cl (= Y Y)) :rule refl)
% 0.22/0.53 (step t2.t3 (cl (= (- X Y) (+ X (* (- 1) Y)))) :rule all_simplify)
% 0.22/0.53 (step t2.t4 (cl (= 0 0)) :rule refl)
% 0.22/0.53 (step t2.t5 (cl (= (= (- X Y) 0) (= (+ X (* (- 1) Y)) 0))) :rule cong :premises (t2.t3 t2.t4))
% 0.22/0.53 (step t2.t6 (cl (= (= (+ X (* (- 1) Y)) 0) (= X Y))) :rule all_simplify)
% 0.22/0.53 (step t2.t7 (cl (= (= (- X Y) 0) (= X Y))) :rule trans :premises (t2.t5 t2.t6))
% 0.22/0.53 (step t2.t8 (cl (= (= X Y) (= X Y))) :rule refl)
% 0.22/0.53 (step t2.t9 (cl (= (=> (= (- X Y) 0) (= X Y)) (=> (= X Y) (= X Y)))) :rule cong :premises (t2.t7 t2.t8))
% 0.22/0.53 (step t2 (cl (= (forall ((X Int) (Y Int)) (=> (= (- X Y) 0) (= X Y))) (forall ((X Int) (Y Int)) (=> (= X Y) (= X Y))))) :rule bind)
% 0.22/0.53 (step t3 (cl (= (forall ((X Int) (Y Int)) (=> (= X Y) (= X Y))) (forall ((X Int) (Y Int)) true))) :rule all_simplify)
% 0.22/0.53 (step t4 (cl (= (forall ((X Int) (Y Int)) true) true)) :rule all_simplify)
% 0.22/0.53 (step t5 (cl (= (forall ((X Int) (Y Int)) (=> (= X Y) (= X Y))) true)) :rule trans :premises (t3 t4))
% 0.22/0.53 (step t6 (cl (= (forall ((X Int) (Y Int)) (=> (= (- X Y) 0) (= X Y))) true)) :rule trans :premises (t2 t5))
% 0.22/0.53 (step t7 (cl (= (not (forall ((X Int) (Y Int)) (=> (= (- X Y) 0) (= X Y)))) (not true))) :rule cong :premises (t6))
% 0.22/0.53 (step t8 (cl (= (not true) false)) :rule all_simplify)
% 0.22/0.53 (step t9 (cl (= (not (forall ((X Int) (Y Int)) (=> (= (- X Y) 0) (= X Y)))) false)) :rule trans :premises (t7 t8))
% 0.22/0.53 (step t10 (cl false) :rule resolution :premises (t1 t9 a0))
% 0.22/0.53 (step t11 (cl (not false)) :rule false)
% 0.22/0.53 (step t12 (cl) :rule resolution :premises (t10 t11))
% 0.22/0.53
% 0.22/0.53 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.Szt6hyjB8d/cvc5---1.0.5_8457.smt2
% 0.22/0.53 % cvc5---1.0.5 exiting
% 0.22/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------