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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO365^5 : TPTP v9.2.1. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 09:12:30 AM UTC 2026

% Result   : Theorem 0.33s 0.55s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO365^5 : TPTP v9.2.1. Bugfixed v5.2.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n005.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Jun  3 00:05:48 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TH0
% 0.33/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.33/0.55  % SZS status Theorem
% 0.33/0.55  % SZS output start Proof
% 0.33/0.55  (
% 0.33/0.55  (declare-const tptp.cEXT_eq_0 Bool)
% 0.33/0.55  (declare-const tptp.cEXT2 Bool)
% 0.33/0.55  (declare-const tptp.cC (-> Bool Bool))
% 0.33/0.55  (declare-const tptp.cA Bool)
% 0.33/0.55  (define @t1 () (_ tptp.cC tptp.cA))
% 0.33/0.55  (define @t2 () (=> @t1 (_ tptp.cC (not (not tptp.cA)))))
% 0.33/0.55  (define @t3 () (= tptp.cEXT2 @t2))
% 0.33/0.55  (define @t4 () (@var "Xq" Bool))
% 0.33/0.55  (define @t5 () (@var "Xp" Bool))
% 0.33/0.55  (define @t6 () (= @t5 @t4))
% 0.33/0.55  (assume @p1 @t3)
% 0.33/0.55  (assume @p2 (= tptp.cEXT_eq_0 (forall (@list @t5 @t4) (=> @t6 @t6))))
% 0.33/0.55  (assume @p3 (not (=> tptp.cEXT_eq_0 tptp.cEXT2)))
% 0.33/0.55  (assume @p4 true)
% 0.33/0.55  (step @p5 :rule not_implies_elim2 :premises (@p3))
% 0.33/0.55  (step @p6 :rule bool-double-not-elim :args (tptp.cA))
% 0.33/0.55  (step @p7 :rule refl :args (tptp.cC))
% 0.33/0.55  (step @p8 :rule ho_cong :premises (@p7 @p6))
% 0.33/0.55  (step @p9 :rule refl :args (@t1))
% 0.33/0.55  (step @p10 :rule cong :premises (@p9 @p8) :args (@t2))
% 0.33/0.55  (step @p11 :rule refl :args (tptp.cEXT2))
% 0.33/0.56  (step @p12 :rule cong :premises (@p11 @p10) :args (@t3))
% 0.33/0.56  (step @p13 :rule eq_resolve :premises (@p1 @p12))
% 0.33/0.56  (step @p14 :rule equiv_elim2 :premises (@p13))
% 0.33/0.56  (step @p15 :rule resolution :premises (@p14 @p5) :args (true tptp.cEXT2))
% 0.33/0.56  (step @p16 :rule not_implies_elim2 :premises (@p15))
% 0.33/0.56  (step @p17 :rule not_implies_elim1 :premises (@p15))
% 0.33/0.56  (step @p18 false :rule contra :premises (@p17 @p16))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------