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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO125^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 09:12:04 AM UTC 2026

% Result   : Theorem 0.27s 0.54s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO125^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n007.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 23:57:56 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TH0
% 0.27/0.54  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.27/0.54  % SZS status Theorem
% 0.27/0.54  % SZS output start Proof
% 0.27/0.54  (
% 0.27/0.54  (declare-const tptp.cQ Bool)
% 0.27/0.54  (declare-const tptp.cP Bool)
% 0.27/0.54  (declare-const tptp.cR Bool)
% 0.27/0.54  (define @t1 () (= tptp.cP tptp.cQ))
% 0.27/0.54  (define @t2 () (and @t1 (= tptp.cQ tptp.cR)))
% 0.27/0.54  (define @t3 () (=> @t2 (= tptp.cP tptp.cR)))
% 0.27/0.54  (define @t4 () (not @t3))
% 0.27/0.54  (assume @p1 @t4)
% 0.27/0.54  (assume @p2 true)
% 0.27/0.54  (step @p3 :rule bool-eq-nrefl :args (tptp.cQ))
% 0.27/0.54  (step @p4 :rule eq-symm :args ((not tptp.cQ) tptp.cQ))
% 0.27/0.54  (step @p5 :rule trans :premises (@p4 @p3))
% 0.27/0.54  (step @p6 :rule refl :args (tptp.cQ))
% 0.27/0.54  (step @p7 :rule eq-symm :args (tptp.cP tptp.cR))
% 0.27/0.54  (step @p8 :rule eq-symm :args (tptp.cQ tptp.cR))
% 0.27/0.54  (step @p9 :rule refl :args (@t1))
% 0.27/0.54  (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t2))
% 0.27/0.54  (step @p11 :rule cong :premises (@p10 @p7) :args (@t3))
% 0.27/0.54  (step @p12 :rule cong :premises (@p11) :args (@t4))
% 0.27/0.54  (step @p13 :rule eq_resolve :premises (@p1 @p12))
% 0.27/0.54  (step @p14 :rule not_implies_elim1 :premises (@p13))
% 0.27/0.54  (step @p15 :rule and_elim :premises (@p14) :args (0))
% 0.27/0.54  (step @p16 :rule cong :premises (@p15) :args ((not tptp.cP)))
% 0.27/0.54  (step @p17 :rule bool-not-eq-elim2 :args (tptp.cR tptp.cP))
% 0.27/0.54  (step @p18 :rule not_implies_elim2 :premises (@p13))
% 0.27/0.54  (step @p19 :rule eq_resolve :premises (@p18 @p17))
% 0.27/0.54  (step @p20 :rule trans :premises (@p19 @p16))
% 0.27/0.54  (step @p21 :rule cong :premises (@p20 @p6) :args ((= tptp.cR tptp.cQ)))
% 0.27/0.54  (step @p22 :rule trans :premises (@p21 @p5))
% 0.27/0.54  (step @p23 :rule and_elim :premises (@p14) :args (1))
% 0.27/0.54  (step @p24 false :rule eq_resolve :premises (@p23 @p22))
% 0.27/0.54  )
% 0.27/0.54  % SZS output end Proof
% 0.27/0.54  % cvc5 exiting
%------------------------------------------------------------------------------