TSTP Solution File: ARI303_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI303_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n018.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 16:33:36 EDT 2024

% Result   : Theorem 0.21s 0.50s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI303_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 27 05:36:24 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_ARI
% 0.21/0.50  --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.50  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.6u2zbKp43U/cvc5---1.0.5_19306.smt2
% 0.21/0.50  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.6u2zbKp43U/cvc5---1.0.5_19306.smt2
% 0.21/0.50  (assume a0 (not (exists ((X Real)) (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4)))))
% 0.21/0.50  (assume a1 true)
% 0.21/0.50  (step t1 (cl (not (= (not (exists ((X Real)) (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4)))) false)) (not (not (exists ((X Real)) (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4))))) false) :rule equiv_pos2)
% 0.21/0.50  (anchor :step t2 :args ((X Real) (:= X X)))
% 0.21/0.50  (step t2.t1 (cl (= X X)) :rule refl)
% 0.21/0.50  (step t2.t2 (cl (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4))) :rule all_simplify)
% 0.21/0.50  (step t2.t3 (cl (= (/ 3 4) (/ 3 4))) :rule refl)
% 0.21/0.50  (step t2.t4 (cl (= (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4)) (= (/ 3 4) (/ 3 4)))) :rule cong :premises (t2.t2 t2.t3))
% 0.21/0.50  (step t2.t5 (cl (= (= (/ 3 4) (/ 3 4)) true)) :rule all_simplify)
% 0.21/0.50  (step t2.t6 (cl (= (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4)) true)) :rule trans :premises (t2.t4 t2.t5))
% 0.21/0.50  (step t2 (cl (= (exists ((X Real)) (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4))) (exists ((X Real)) true))) :rule bind)
% 0.21/0.50  (step t3 (cl (= (exists ((X Real)) true) (not (forall ((X Real)) (not true))))) :rule all_simplify)
% 0.21/0.50  (anchor :step t4 :args ((X Real) (:= X X)))
% 0.21/0.50  (step t4.t1 (cl (= X X)) :rule refl)
% 0.21/0.50  (step t4.t2 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.50  (step t4 (cl (= (forall ((X Real)) (not true)) (forall ((X Real)) false))) :rule bind)
% 0.21/0.50  (step t5 (cl (= (forall ((X Real)) false) false)) :rule all_simplify)
% 0.21/0.50  (step t6 (cl (= (forall ((X Real)) (not true)) false)) :rule trans :premises (t4 t5))
% 0.21/0.50  (step t7 (cl (= (not (forall ((X Real)) (not true))) (not false))) :rule cong :premises (t6))
% 0.21/0.50  (step t8 (cl (= (not false) true)) :rule all_simplify)
% 0.21/0.50  (step t9 (cl (= (not (forall ((X Real)) (not true))) true)) :rule trans :premises (t7 t8))
% 0.21/0.50  (step t10 (cl (= (exists ((X Real)) true) true)) :rule trans :premises (t3 t9))
% 0.21/0.50  (step t11 (cl (= (exists ((X Real)) (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4))) true)) :rule trans :premises (t2 t10))
% 0.21/0.50  (step t12 (cl (= (not (exists ((X Real)) (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4)))) (not true))) :rule cong :premises (t11))
% 0.21/0.50  (step t13 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.50  (step t14 (cl (= (not (exists ((X Real)) (= (* (/ (- 15) 16) (/ (- 4) 5)) (/ 3 4)))) false)) :rule trans :premises (t12 t13))
% 0.21/0.50  (step t15 (cl false) :rule resolution :premises (t1 t14 a0))
% 0.21/0.50  (step t16 (cl (not false)) :rule false)
% 0.21/0.50  (step t17 (cl) :rule resolution :premises (t15 t16))
% 0.21/0.50  
% 0.21/0.50  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.6u2zbKp43U/cvc5---1.0.5_19306.smt2
% 0.21/0.50  % cvc5---1.0.5 exiting
% 0.21/0.51  % cvc5---1.0.5 exiting
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