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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO202^5 : 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 : n016.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 09:12:13 AM UTC 2026

% Result   : Theorem 0.39s 0.56s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO202^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n016.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 00:01:09 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TH0
% 0.39/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.39/0.56  % SZS status Theorem
% 0.39/0.56  % SZS output start Proof
% 0.39/0.56  (
% 0.39/0.56  (define @t1 () (@var "Xp" (-> Bool Bool)))
% 0.39/0.56  (define @t2 () (_ @t1 (= @t1 @t1)))
% 0.39/0.56  (define @t3 () (not @t2))
% 0.39/0.56  (define @t4 () (and @t2 @t3))
% 0.39/0.56  (define @t5 () (@list @t1))
% 0.39/0.56  (define @t6 () (exists @t5 @t4))
% 0.39/0.56  (define @t7 () (_ @t1 true))
% 0.39/0.56  (define @t8 () (not @t7))
% 0.39/0.56  (define @t9 () (and @t7 @t8))
% 0.39/0.56  (define @t10 () (forall @t5 (not @t9)))
% 0.39/0.56  (define @t11 () (not @t10))
% 0.39/0.56  (assume @p1 (not (not @t6)))
% 0.39/0.56  (assume @p2 true)
% 0.39/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.39/0.56  (step @p4 :rule quant-unused-vars :args ((= (forall @t5 true) true)))
% 0.39/0.56  (step @p5 :rule bool-or-taut2 :args (false @t7 false false))
% 0.39/0.56  (step @p6 :rule bool-double-not-elim :args (@t7))
% 0.39/0.56  (step @p7 :rule refl :args (@t8))
% 0.39/0.56  (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or @t8 (not @t8))))
% 0.39/0.56  (step @p9 :rule bool-and-de-morgan :args (@t7 @t8 true))
% 0.39/0.56  (step @p10 :rule trans :premises (@p9 @p8))
% 0.39/0.56  (step @p11 :rule trans :premises (@p10 @p5))
% 0.39/0.56  (step @p12 :rule cong :premises (@p11) :args (@t10))
% 0.39/0.56  (step @p13 :rule trans :premises (@p12 @p4))
% 0.39/0.56  (step @p14 :rule cong :premises (@p13) :args (@t11))
% 0.39/0.56  (step @p15 :rule trans :premises (@p14 @p3))
% 0.39/0.56  (step @p16 :rule exists-elim :args ((= (exists @t5 @t9) @t11)))
% 0.39/0.56  (step @p17 :rule trans :premises (@p16 @p15))
% 0.39/0.56  (step @p18 :rule eq-refl :args (@t1))
% 0.39/0.56  (step @p19 :rule refl :args (@t1))
% 0.39/0.56  (step @p20 :rule ho_cong :premises (@p19 @p18))
% 0.39/0.56  (step @p21 :rule cong :premises (@p20) :args (@t3))
% 0.39/0.56  (step @p22 :rule nary_cong :premises (@p20 @p21) :args (@t4))
% 0.39/0.56  (step @p23 :rule cong :premises (@p22) :args (@t6))
% 0.39/0.56  (step @p24 :rule trans :premises (@p23 @p17))
% 0.39/0.56  (step @p25 :rule bool-double-not-elim :args (@t6))
% 0.39/0.56  (step @p26 :rule trans :premises (@p25 @p24))
% 0.39/0.56  (step @p27 false :rule eq_resolve :premises (@p1 @p26))
% 0.39/0.56  )
% 0.39/0.56  % SZS output end Proof
% 0.39/0.56  % cvc5 exiting
%------------------------------------------------------------------------------