TSTP Solution File: ARI061_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI061_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n010.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 16:33:06 EDT 2024

% Result   : Theorem 0.16s 0.43s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : ARI061_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon May 27 05:30:39 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.16/0.41  %----Proving TF0_ARI
% 0.16/0.43  --- Run --finite-model-find --decision=internal at 15...
% 0.16/0.43  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.KVgXoroL8A/cvc5---1.0.5_20086.smt2
% 0.16/0.43  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.KVgXoroL8A/cvc5---1.0.5_20086.smt2
% 0.16/0.43  (assume a0 (not (exists ((X Int)) (= (+ 23 X) 34))))
% 0.16/0.43  (assume a1 true)
% 0.16/0.43  (step t1 (cl (not (= (not (exists ((X Int)) (= (+ 23 X) 34))) false)) (not (not (exists ((X Int)) (= (+ 23 X) 34)))) false) :rule equiv_pos2)
% 0.16/0.43  (anchor :step t2 :args ((X Int) (:= X X)))
% 0.16/0.43  (step t2.t1 (cl (= X X)) :rule refl)
% 0.16/0.43  (step t2.t2 (cl (= (= (+ 23 X) 34) (= X 11))) :rule all_simplify)
% 0.16/0.43  (step t2 (cl (= (exists ((X Int)) (= (+ 23 X) 34)) (exists ((X Int)) (= X 11)))) :rule bind)
% 0.16/0.43  (step t3 (cl (= (exists ((X Int)) (= X 11)) (not (forall ((X Int)) (not (= X 11)))))) :rule all_simplify)
% 0.16/0.43  (step t4 (cl (= (forall ((X Int)) (not (= X 11))) (not (= 11 11)))) :rule all_simplify)
% 0.16/0.43  (step t5 (cl (= (= 11 11) true)) :rule all_simplify)
% 0.16/0.43  (step t6 (cl (= (not (= 11 11)) (not true))) :rule cong :premises (t5))
% 0.16/0.43  (step t7 (cl (= (not true) false)) :rule all_simplify)
% 0.16/0.43  (step t8 (cl (= (not (= 11 11)) false)) :rule trans :premises (t6 t7))
% 0.16/0.43  (step t9 (cl (= (forall ((X Int)) (not (= X 11))) false)) :rule trans :premises (t4 t8))
% 0.16/0.43  (step t10 (cl (= (not (forall ((X Int)) (not (= X 11)))) (not false))) :rule cong :premises (t9))
% 0.16/0.43  (step t11 (cl (= (not false) true)) :rule all_simplify)
% 0.16/0.43  (step t12 (cl (= (not (forall ((X Int)) (not (= X 11)))) true)) :rule trans :premises (t10 t11))
% 0.16/0.43  (step t13 (cl (= (exists ((X Int)) (= X 11)) true)) :rule trans :premises (t3 t12))
% 0.16/0.43  (step t14 (cl (= (exists ((X Int)) (= (+ 23 X) 34)) true)) :rule trans :premises (t2 t13))
% 0.16/0.43  (step t15 (cl (= (not (exists ((X Int)) (= (+ 23 X) 34))) (not true))) :rule cong :premises (t14))
% 0.16/0.43  (step t16 (cl (= (not (exists ((X Int)) (= (+ 23 X) 34))) false)) :rule trans :premises (t15 t7))
% 0.16/0.43  (step t17 (cl false) :rule resolution :premises (t1 t16 a0))
% 0.16/0.43  (step t18 (cl (not false)) :rule false)
% 0.16/0.43  (step t19 (cl) :rule resolution :premises (t17 t18))
% 0.16/0.43  
% 0.16/0.43  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.KVgXoroL8A/cvc5---1.0.5_20086.smt2
% 0.16/0.43  % cvc5---1.0.5 exiting
% 0.16/0.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------