TSTP Solution File: ARI435_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI435_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n024.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 16:33:52 EDT 2024

% Result   : Theorem 0.18s 0.50s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ARI435_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon May 27 05:29:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.18/0.47  %----Proving TF0_ARI
% 0.18/0.50  --- Run --finite-model-find --decision=internal at 15...
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.JUtdzd5l9M/cvc5---1.0.5_23968.smt2
% 0.18/0.50  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.JUtdzd5l9M/cvc5---1.0.5_23968.smt2
% 0.18/0.50  (assume a0 (not (exists ((X Real)) (= (- (/ (- 32) 25) 1.0) X))))
% 0.18/0.50  (assume a1 true)
% 0.18/0.50  (step t1 (cl (not (= (not (exists ((X Real)) (= (- (/ (- 32) 25) 1.0) X))) false)) (not (not (exists ((X Real)) (= (- (/ (- 32) 25) 1.0) X)))) false) :rule equiv_pos2)
% 0.18/0.50  (anchor :step t2 :args ((X Real) (:= X X)))
% 0.18/0.50  (step t2.t1 (cl (= X X)) :rule refl)
% 0.18/0.50  (step t2.t2 (cl (= (- (/ (- 32) 25) 1.0) (+ (/ (- 32) 25) (* (- 1.0) 1.0)))) :rule all_simplify)
% 0.18/0.50  (step t2.t3 (cl (= (/ (- 32) 25) (/ (- 32) 25))) :rule refl)
% 0.18/0.50  (step t2.t4 (cl (= (* (- 1.0) 1.0) (- 1.0))) :rule all_simplify)
% 0.18/0.50  (step t2.t5 (cl (= (+ (/ (- 32) 25) (* (- 1.0) 1.0)) (+ (/ (- 32) 25) (- 1.0)))) :rule cong :premises (t2.t3 t2.t4))
% 0.18/0.50  (step t2.t6 (cl (= (+ (/ (- 32) 25) (- 1.0)) (/ (- 57) 25))) :rule all_simplify)
% 0.18/0.50  (step t2.t7 (cl (= (+ (/ (- 32) 25) (* (- 1.0) 1.0)) (/ (- 57) 25))) :rule trans :premises (t2.t5 t2.t6))
% 0.18/0.50  (step t2.t8 (cl (= (- (/ (- 32) 25) 1.0) (/ (- 57) 25))) :rule trans :premises (t2.t2 t2.t7))
% 0.18/0.50  (step t2.t9 (cl (= X X)) :rule refl)
% 0.18/0.50  (step t2.t10 (cl (= (= (- (/ (- 32) 25) 1.0) X) (= (/ (- 57) 25) X))) :rule cong :premises (t2.t8 t2.t9))
% 0.18/0.50  (step t2.t11 (cl (= (= (/ (- 57) 25) X) (= X (/ (- 57) 25)))) :rule all_simplify)
% 0.18/0.50  (step t2.t12 (cl (= (= (- (/ (- 32) 25) 1.0) X) (= X (/ (- 57) 25)))) :rule trans :premises (t2.t10 t2.t11))
% 0.18/0.50  (step t2 (cl (= (exists ((X Real)) (= (- (/ (- 32) 25) 1.0) X)) (exists ((X Real)) (= X (/ (- 57) 25))))) :rule bind)
% 0.18/0.50  (step t3 (cl (= (exists ((X Real)) (= X (/ (- 57) 25))) (not (forall ((X Real)) (not (= X (/ (- 57) 25))))))) :rule all_simplify)
% 0.18/0.50  (step t4 (cl (= (forall ((X Real)) (not (= X (/ (- 57) 25)))) (not (= (/ (- 57) 25) (/ (- 57) 25))))) :rule all_simplify)
% 0.18/0.50  (step t5 (cl (= (= (/ (- 57) 25) (/ (- 57) 25)) true)) :rule all_simplify)
% 0.18/0.50  (step t6 (cl (= (not (= (/ (- 57) 25) (/ (- 57) 25))) (not true))) :rule cong :premises (t5))
% 0.18/0.50  (step t7 (cl (= (not true) false)) :rule all_simplify)
% 0.18/0.50  (step t8 (cl (= (not (= (/ (- 57) 25) (/ (- 57) 25))) false)) :rule trans :premises (t6 t7))
% 0.18/0.50  (step t9 (cl (= (forall ((X Real)) (not (= X (/ (- 57) 25)))) false)) :rule trans :premises (t4 t8))
% 0.18/0.50  (step t10 (cl (= (not (forall ((X Real)) (not (= X (/ (- 57) 25))))) (not false))) :rule cong :premises (t9))
% 0.18/0.50  (step t11 (cl (= (not false) true)) :rule all_simplify)
% 0.18/0.50  (step t12 (cl (= (not (forall ((X Real)) (not (= X (/ (- 57) 25))))) true)) :rule trans :premises (t10 t11))
% 0.18/0.50  (step t13 (cl (= (exists ((X Real)) (= X (/ (- 57) 25))) true)) :rule trans :premises (t3 t12))
% 0.18/0.50  (step t14 (cl (= (exists ((X Real)) (= (- (/ (- 32) 25) 1.0) X)) true)) :rule trans :premises (t2 t13))
% 0.18/0.50  (step t15 (cl (= (not (exists ((X Real)) (= (- (/ (- 32) 25) 1.0) X))) (not true))) :rule cong :premises (t14))
% 0.18/0.50  (step t16 (cl (= (not (exists ((X Real)) (= (- (/ (- 32) 25) 1.0) X))) false)) :rule trans :premises (t15 t7))
% 0.18/0.50  (step t17 (cl false) :rule resolution :premises (t1 t16 a0))
% 0.18/0.50  (step t18 (cl (not false)) :rule false)
% 0.18/0.50  (step t19 (cl) :rule resolution :premises (t17 t18))
% 0.18/0.50  
% 0.18/0.50  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.JUtdzd5l9M/cvc5---1.0.5_23968.smt2
% 0.18/0.50  % cvc5---1.0.5 exiting
% 0.18/0.50  % cvc5---1.0.5 exiting
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