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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO196^5 : 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 : 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 09:12:12 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO196^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n005.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 : Wed Jun  3 00:00:18 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.28/0.48  %----Proving TH0
% 0.37/0.57  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (define @t1 () (@var "Xy" Bool))
% 0.37/0.57  (define @t2 () (@list @t1))
% 0.37/0.57  (define @t3 () (forall @t2 (and @t1 (not @t1))))
% 0.37/0.57  (define @t4 () (@var "Xp" (-> Bool Bool)))
% 0.37/0.57  (define @t5 () (@list @t4))
% 0.37/0.57  (define @t6 () (exists @t5 (_ @t4 @t3)))
% 0.37/0.57  (define @t7 () (not @t6))
% 0.37/0.57  (define @t8 () (_ @t4 false))
% 0.37/0.57  (define @t9 () (forall @t5 (not @t8)))
% 0.37/0.57  (define @t10 () (_ @t4 false))
% 0.37/0.57  (define @t11 () (not @t10))
% 0.37/0.57  (define @t12 () (forall @t5 @t11))
% 0.37/0.57  (define @t13 () (not @t12))
% 0.37/0.57  (define @t14 () (lambda (@list (@var "BOUND_VARIABLE_14462" Bool)) true))
% 0.37/0.57  (define @t15 () (_ @t14 false))
% 0.37/0.57  (define @t16 () (not @t15))
% 0.37/0.57  (assume @p1 @t7)
% 0.37/0.57  (assume @p2 true)
% 0.37/0.57  (step @p3 :rule bool-double-not-elim :args (@t9))
% 0.37/0.57  (step @p4 :rule refl :args (@t8))
% 0.37/0.57  (step @p5 :rule refl :args (@t10))
% 0.37/0.57  (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t10 @t8)))
% 0.37/0.57  (step @p7 :rule symm :premises (@p6))
% 0.37/0.57  (step @p8 :rule eq_resolve :premises (@p5 @p7))
% 0.37/0.57  (step @p9 :rule cong :premises (@p8) :args (@t11))
% 0.37/0.57  (step @p10 :rule cong :premises (@p9) :args (@t12))
% 0.37/0.57  (step @p11 :rule cong :premises (@p10) :args (@t13))
% 0.37/0.57  (step @p12 :rule exists-elim :args ((= (exists @t5 @t10) @t13)))
% 0.37/0.57  (step @p13 :rule trans :premises (@p12 @p11))
% 0.37/0.57  (step @p14 :rule quant-unused-vars :args ((= (forall @t2 false) false)))
% 0.37/0.57  (step @p15 :rule bool-and-conf :args (true @t1 true true))
% 0.37/0.57  (step @p16 :rule cong :premises (@p15) :args (@t3))
% 0.37/0.57  (step @p17 :rule trans :premises (@p16 @p14))
% 0.37/0.57  (step @p18 :rule refl :args (@t4))
% 0.37/0.57  (step @p19 :rule ho_cong :premises (@p18 @p17))
% 0.37/0.57  (step @p20 :rule cong :premises (@p19) :args (@t6))
% 0.37/0.57  (step @p21 :rule trans :premises (@p20 @p13))
% 0.37/0.57  (step @p22 :rule cong :premises (@p21) :args (@t7))
% 0.37/0.57  (step @p23 :rule trans :premises (@p22 @p3))
% 0.37/0.57  (step @p24 :rule eq_resolve :premises (@p1 @p23))
% 0.37/0.57  (step @p25 :rule bool-impl-false1 :args (@t9))
% 0.37/0.57  (step @p26 :rule evaluate :args ((not true)))
% 0.37/0.57  (step @p27 :rule beta-reduce :args ((= @t15 true)))
% 0.37/0.57  (step @p28 :rule cong :premises (@p27) :args (@t16))
% 0.37/0.57  (step @p29 :rule trans :premises (@p28 @p26))
% 0.37/0.57  (step @p30 :rule refl :args (@t9))
% 0.37/0.57  (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t9 @t16)))
% 0.37/0.57  (step @p32 :rule trans :premises (@p31 @p25))
% 0.37/0.57  (assume-push @p39 @t9)
% 0.37/0.57  (step @p34 :rule instantiate :premises (@p24) :args ((@list @t14)))
% 0.37/0.57  (step-pop @p40 :rule scope :premises (@p34))
% 0.37/0.57  (step @p35 :rule process_scope :premises (@p40) :args (@t16))
% 0.37/0.57  (step @p37 :rule eq_resolve :premises (@p35 @p32))
% 0.37/0.57  (step @p38 false :rule chain_m_resolution :premises (@p37 @p24) :args (false (@list false) (@list @t9)))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.57  % cvc5 exiting
%------------------------------------------------------------------------------