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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO021^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n027.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 Jun  3 09:11:47 AM UTC 2026

% Result   : Theorem 0.32s 0.56s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO021^1 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n027.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 23:51:51 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TH0
% 0.32/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.32/0.56  % SZS status Theorem
% 0.32/0.56  % SZS output start Proof
% 0.32/0.56  (
% 0.32/0.56  (define @t1 () (@var "Y" Bool))
% 0.32/0.56  (define @t2 () (not @t1))
% 0.32/0.56  (define @t3 () (@var "X" Bool))
% 0.32/0.56  (define @t4 () (not @t3))
% 0.32/0.56  (define @t5 () (and @t3 @t1))
% 0.32/0.56  (define @t6 () (= @t5 (not (or @t4 @t2))))
% 0.32/0.56  (define @t7 () (@list @t3 @t1))
% 0.32/0.56  (define @t8 () (forall @t7 @t6))
% 0.32/0.56  (define @t9 () (not @t8))
% 0.32/0.56  (assume @p1 @t9)
% 0.32/0.56  (assume @p2 true)
% 0.32/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.32/0.56  (step @p4 :rule quant-unused-vars :args ((= (forall @t7 true) true)))
% 0.32/0.56  (step @p5 :rule eq-refl :args (@t5))
% 0.32/0.56  (step @p6 :rule cong :premises (@p5) :args ((forall @t7 (= @t5 @t5))))
% 0.32/0.56  (step @p7 :rule trans :premises (@p6 @p4))
% 0.32/0.56  (step @p8 :rule bool-double-not-elim :args (@t1))
% 0.32/0.56  (step @p9 :rule bool-double-not-elim :args (@t3))
% 0.32/0.56  (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((and (not @t4) (not @t2))))
% 0.32/0.56  (step @p11 :rule bool-or-de-morgan :args (@t4 @t2 false))
% 0.32/0.56  (step @p12 :rule trans :premises (@p11 @p10))
% 0.32/0.56  (step @p13 :rule refl :args (@t5))
% 0.32/0.56  (step @p14 :rule cong :premises (@p13 @p12) :args (@t6))
% 0.32/0.56  (step @p15 :rule cong :premises (@p14) :args (@t8))
% 0.32/0.56  (step @p16 :rule trans :premises (@p15 @p7))
% 0.32/0.56  (step @p17 :rule cong :premises (@p16) :args (@t9))
% 0.32/0.56  (step @p18 :rule trans :premises (@p17 @p3))
% 0.32/0.56  (step @p19 false :rule eq_resolve :premises (@p1 @p18))
% 0.32/0.56  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------