TSTP Solution File: ARI297_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI297_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n006.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 0.22s 0.53s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI297_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n006.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon May 27 05:28:24 EDT 2024
% 0.16/0.36  % 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.ypynvmwndC/cvc5---1.0.5_3408.smt2
% 0.22/0.53  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.ypynvmwndC/cvc5---1.0.5_3408.smt2
% 0.22/0.53  (assume a0 (not (forall ((X Real)) (=> (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8))))))
% 0.22/0.53  (assume a1 true)
% 0.22/0.53  (step t1 (cl (not (= (not (forall ((X Real)) (=> (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8))))) false)) (not (not (forall ((X Real)) (=> (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8)))))) false) :rule equiv_pos2)
% 0.22/0.53  (anchor :step t2 :args ((X Real) (:= X X)))
% 0.22/0.53  (step t2.t1 (cl (= X X)) :rule refl)
% 0.22/0.53  (step t2.t2 (cl (= (* X (/ 2 5)) (* (/ 2 5) X))) :rule all_simplify)
% 0.22/0.53  (step t2.t3 (cl (= (/ 1 4) (/ 1 4))) :rule refl)
% 0.22/0.53  (step t2.t4 (cl (= (= (* X (/ 2 5)) (/ 1 4)) (= (* (/ 2 5) X) (/ 1 4)))) :rule cong :premises (t2.t2 t2.t3))
% 0.22/0.53  (step t2.t5 (cl (= (= (* (/ 2 5) X) (/ 1 4)) (= X (/ 5 8)))) :rule all_simplify)
% 0.22/0.53  (step t2.t6 (cl (= (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8)))) :rule trans :premises (t2.t4 t2.t5))
% 0.22/0.53  (step t2.t7 (cl (= (= X (/ 5 8)) (= X (/ 5 8)))) :rule refl)
% 0.22/0.53  (step t2.t8 (cl (= (=> (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8))) (=> (= X (/ 5 8)) (= X (/ 5 8))))) :rule cong :premises (t2.t6 t2.t7))
% 0.22/0.53  (step t2 (cl (= (forall ((X Real)) (=> (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8)))) (forall ((X Real)) (=> (= X (/ 5 8)) (= X (/ 5 8)))))) :rule bind)
% 0.22/0.53  (step t3 (cl (= (forall ((X Real)) (=> (= X (/ 5 8)) (= X (/ 5 8)))) (forall ((X Real)) true))) :rule all_simplify)
% 0.22/0.53  (step t4 (cl (= (forall ((X Real)) true) true)) :rule all_simplify)
% 0.22/0.53  (step t5 (cl (= (forall ((X Real)) (=> (= X (/ 5 8)) (= X (/ 5 8)))) true)) :rule trans :premises (t3 t4))
% 0.22/0.53  (step t6 (cl (= (forall ((X Real)) (=> (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8)))) true)) :rule trans :premises (t2 t5))
% 0.22/0.53  (step t7 (cl (= (not (forall ((X Real)) (=> (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8))))) (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 Real)) (=> (= (* X (/ 2 5)) (/ 1 4)) (= X (/ 5 8))))) 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.ypynvmwndC/cvc5---1.0.5_3408.smt2
% 0.22/0.53  % cvc5---1.0.5 exiting
% 0.22/0.53  % cvc5---1.0.5 exiting
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