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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO188^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n024.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 09:12:11 AM UTC 2026

% Result   : Theorem 0.23s 0.46s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYO188^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n024.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue Jun  2 19:00:15 EDT 2026
% 0.07/0.26  % CPUTime  : 
% 0.15/0.34  %----Proving TH0
% 0.23/0.46  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.23/0.46  % SZS status Theorem
% 0.23/0.46  % SZS output start Proof
% 0.23/0.46  (
% 0.23/0.46  (define @t1 () (@var "Xp" (-> Bool Bool)))
% 0.23/0.46  (define @t2 () (@var "Xq" (-> (-> Bool Bool) Bool)))
% 0.23/0.46  (define @t3 () (_ @t2 @t1))
% 0.23/0.46  (define @t4 () (@list @t1))
% 0.23/0.46  (define @t5 () (forall @t4 @t3))
% 0.23/0.46  (define @t6 () (@list @t2))
% 0.23/0.46  (define @t7 () (exists @t6 @t5))
% 0.23/0.46  (define @t8 () (not @t7))
% 0.23/0.46  (define @t9 () (_ @t2 @t1))
% 0.23/0.46  (define @t10 () (forall @t4 @t9))
% 0.23/0.46  (define @t11 () (forall @t6 (not @t10)))
% 0.23/0.46  (define @t12 () (lambda (@list (@var "BOUND_VARIABLE_43515" (-> Bool Bool))) true))
% 0.23/0.46  (define @t13 () (_ @t12 @t1))
% 0.23/0.46  (define @t14 () (forall @t4 @t13))
% 0.23/0.46  (define @t15 () (not @t14))
% 0.23/0.46  (assume @p1 @t8)
% 0.23/0.46  (assume @p2 true)
% 0.23/0.46  (step @p3 :rule bool-double-not-elim :args (@t11))
% 0.23/0.46  (step @p4 :rule exists-elim :args ((= (exists @t6 @t10) (not @t11))))
% 0.23/0.46  (step @p5 :rule refl :args (@t9))
% 0.23/0.46  (step @p6 :rule refl :args (@t3))
% 0.23/0.46  (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t3 @t9)))
% 0.23/0.46  (step @p8 :rule symm :premises (@p7))
% 0.23/0.46  (step @p9 :rule eq_resolve :premises (@p6 @p8))
% 0.23/0.46  (step @p10 :rule cong :premises (@p9) :args (@t5))
% 0.23/0.46  (step @p11 :rule cong :premises (@p10) :args (@t7))
% 0.23/0.46  (step @p12 :rule trans :premises (@p11 @p4))
% 0.23/0.46  (step @p13 :rule cong :premises (@p12) :args (@t8))
% 0.23/0.46  (step @p14 :rule trans :premises (@p13 @p3))
% 0.23/0.46  (step @p15 :rule eq_resolve :premises (@p1 @p14))
% 0.23/0.46  (step @p16 :rule bool-impl-false1 :args (@t11))
% 0.23/0.46  (step @p17 :rule evaluate :args ((not true)))
% 0.23/0.46  (step @p18 :rule quant-unused-vars :args ((= (forall @t4 true) true)))
% 0.23/0.46  (step @p19 :rule beta-reduce :args ((= @t13 true)))
% 0.23/0.46  (step @p20 :rule cong :premises (@p19) :args (@t14))
% 0.23/0.46  (step @p21 :rule trans :premises (@p20 @p18))
% 0.23/0.46  (step @p22 :rule cong :premises (@p21) :args (@t15))
% 0.23/0.46  (step @p23 :rule trans :premises (@p22 @p17))
% 0.23/0.46  (step @p24 :rule refl :args (@t11))
% 0.23/0.46  (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t11 @t15)))
% 0.23/0.46  (step @p26 :rule trans :premises (@p25 @p16))
% 0.23/0.46  (assume-push @p33 @t11)
% 0.23/0.46  (step @p28 :rule instantiate :premises (@p15) :args ((@list @t12)))
% 0.23/0.46  (step-pop @p34 :rule scope :premises (@p28))
% 0.23/0.46  (step @p29 :rule process_scope :premises (@p34) :args (@t15))
% 0.23/0.46  (step @p31 :rule eq_resolve :premises (@p29 @p26))
% 0.23/0.46  (step @p32 false :rule chain_m_resolution :premises (@p31 @p15) :args (false (@list false) (@list @t11)))
% 0.23/0.46  )
% 0.23/0.46  % SZS output end Proof
% 0.23/0.46  % cvc5 exiting
%------------------------------------------------------------------------------