TSTP Solution File: ARI221_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI221_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n020.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 16:33:25 EDT 2024

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ARI221_1 : TPTP v8.2.0. Released v5.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 27 05:37:09 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_ARI
% 0.20/0.51  --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.RzJA9594ou/cvc5---1.0.5_10752.smt2
% 0.20/0.51  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.RzJA9594ou/cvc5---1.0.5_10752.smt2
% 0.20/0.51  (assume a0 (not (exists ((X Real)) (> X (/ 9 16)))))
% 0.20/0.51  (assume a1 true)
% 0.20/0.51  (step t1 (cl (not (= (not (exists ((X Real)) (> X (/ 9 16)))) false)) (not (not (exists ((X Real)) (> X (/ 9 16))))) false) :rule equiv_pos2)
% 0.20/0.51  (anchor :step t2 :args ((X Real) (:= X X)))
% 0.20/0.51  (step t2.t1 (cl (= X X)) :rule refl)
% 0.20/0.51  (step t2.t2 (cl (= (> X (/ 9 16)) (not (<= X (/ 9 16))))) :rule all_simplify)
% 0.20/0.51  (step t2.t3 (cl (= (<= X (/ 9 16)) (>= (* (- 1) X) (/ (- 9) 16)))) :rule all_simplify)
% 0.20/0.51  (step t2.t4 (cl (= (not (<= X (/ 9 16))) (not (>= (* (- 1) X) (/ (- 9) 16))))) :rule cong :premises (t2.t3))
% 0.20/0.51  (step t2.t5 (cl (= (> X (/ 9 16)) (not (>= (* (- 1) X) (/ (- 9) 16))))) :rule trans :premises (t2.t2 t2.t4))
% 0.20/0.51  (step t2 (cl (= (exists ((X Real)) (> X (/ 9 16))) (exists ((X Real)) (not (>= (* (- 1) X) (/ (- 9) 16)))))) :rule bind)
% 0.20/0.51  (step t3 (cl (= (exists ((X Real)) (not (>= (* (- 1) X) (/ (- 9) 16)))) (not (forall ((X Real)) (>= (* (- 1) X) (/ (- 9) 16)))))) :rule all_simplify)
% 0.20/0.51  (step t4 (cl (= (forall ((X Real)) (>= (* (- 1) X) (/ (- 9) 16))) false)) :rule all_simplify)
% 0.20/0.51  (step t5 (cl (= (not (forall ((X Real)) (>= (* (- 1) X) (/ (- 9) 16)))) (not false))) :rule cong :premises (t4))
% 0.20/0.51  (step t6 (cl (= (not false) true)) :rule all_simplify)
% 0.20/0.51  (step t7 (cl (= (not (forall ((X Real)) (>= (* (- 1) X) (/ (- 9) 16)))) true)) :rule trans :premises (t5 t6))
% 0.20/0.51  (step t8 (cl (= (exists ((X Real)) (not (>= (* (- 1) X) (/ (- 9) 16)))) true)) :rule trans :premises (t3 t7))
% 0.20/0.51  (step t9 (cl (= (exists ((X Real)) (> X (/ 9 16))) true)) :rule trans :premises (t2 t8))
% 0.20/0.51  (step t10 (cl (= (not (exists ((X Real)) (> X (/ 9 16)))) (not true))) :rule cong :premises (t9))
% 0.20/0.51  (step t11 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.51  (step t12 (cl (= (not (exists ((X Real)) (> X (/ 9 16)))) false)) :rule trans :premises (t10 t11))
% 0.20/0.51  (step t13 (cl false) :rule resolution :premises (t1 t12 a0))
% 0.20/0.51  (step t14 (cl (not false)) :rule false)
% 0.20/0.51  (step t15 (cl) :rule resolution :premises (t13 t14))
% 0.20/0.51  
% 0.20/0.51  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.RzJA9594ou/cvc5---1.0.5_10752.smt2
% 0.20/0.51  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
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