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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO285^5 : 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 : n002.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 09:12:22 AM UTC 2026

% Result   : Theorem 0.37s 0.58s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO285^5 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n002.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 00:02:18 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TH0
% 0.37/0.58  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.37/0.58  % SZS status Theorem
% 0.37/0.58  % SZS output start Proof
% 0.37/0.58  (
% 0.37/0.58  (declare-sort $$unsorted 0)
% 0.37/0.58  (declare-const tptp.cR (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.cQ (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.y $$unsorted)
% 0.37/0.58  (define @t1 () (_ tptp.cQ tptp.y))
% 0.37/0.58  (define @t2 () (@var "Xx" $$unsorted))
% 0.37/0.58  (define @t3 () (_ tptp.cR @t2))
% 0.37/0.58  (define @t4 () (@list @t2))
% 0.37/0.58  (define @t5 () (forall @t4 @t3))
% 0.37/0.58  (define @t6 () (and @t5 @t1))
% 0.37/0.58  (define @t7 () (@var "Xp" (-> $$unsorted Bool)))
% 0.37/0.58  (define @t8 () (_ @t7 tptp.y))
% 0.37/0.58  (define @t9 () (@list @t7))
% 0.37/0.58  (define @t10 () (forall @t9 @t8))
% 0.37/0.58  (define @t11 () (=> @t10 @t6))
% 0.37/0.58  (define @t12 () (not @t11))
% 0.37/0.58  (define @t13 () (tptp.cQ tptp.y))
% 0.37/0.58  (define @t14 () (tptp.cR @t2))
% 0.37/0.58  (define @t15 () (forall @t4 @t14))
% 0.37/0.58  (define @t16 () (and @t15 @t1))
% 0.37/0.58  (define @t17 () (_ @t7 tptp.y))
% 0.37/0.58  (define @t18 () (forall @t9 @t17))
% 0.37/0.58  (define @t19 () (=> @t18 @t16))
% 0.37/0.58  (define @t20 () (lambda (@list (@var "BOUND_VARIABLE_14514" $$unsorted)) false))
% 0.37/0.58  (define @t21 () (_ @t20 tptp.y))
% 0.37/0.58  (assume @p1 @t12)
% 0.37/0.58  (assume @p2 true)
% 0.37/0.58  (step @p3 :rule refl :args (@t13))
% 0.37/0.58  (step @p4 :rule refl :args (@t1))
% 0.37/0.58  (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t13)))
% 0.37/0.58  (step @p6 :rule symm :premises (@p5))
% 0.37/0.58  (step @p7 :rule eq_resolve :premises (@p4 @p6))
% 0.37/0.58  (step @p8 :rule refl :args (@t15))
% 0.37/0.58  (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t16))
% 0.37/0.58  (step @p10 :rule refl :args (@t18))
% 0.37/0.58  (step @p11 :rule cong :premises (@p10 @p9) :args (@t19))
% 0.37/0.58  (step @p12 :rule cong :premises (@p11) :args ((not @t19)))
% 0.37/0.58  (step @p13 :rule refl :args (@t1))
% 0.37/0.58  (step @p14 :rule refl :args (@t14))
% 0.37/0.58  (step @p15 :rule refl :args (@t3))
% 0.37/0.58  (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t3 @t14)))
% 0.37/0.58  (step @p17 :rule symm :premises (@p16))
% 0.37/0.58  (step @p18 :rule eq_resolve :premises (@p15 @p17))
% 0.37/0.58  (step @p19 :rule cong :premises (@p18) :args (@t5))
% 0.37/0.58  (step @p20 :rule nary_cong :premises (@p19 @p13) :args (@t6))
% 0.37/0.58  (step @p21 :rule refl :args (@t17))
% 0.37/0.58  (step @p22 :rule refl :args (@t8))
% 0.37/0.58  (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t8 @t17)))
% 0.37/0.58  (step @p24 :rule symm :premises (@p23))
% 0.37/0.58  (step @p25 :rule eq_resolve :premises (@p22 @p24))
% 0.37/0.58  (step @p26 :rule cong :premises (@p25) :args (@t10))
% 0.37/0.58  (step @p27 :rule cong :premises (@p26 @p20) :args (@t11))
% 0.37/0.58  (step @p28 :rule cong :premises (@p27) :args (@t12))
% 0.37/0.58  (step @p29 :rule trans :premises (@p28 @p12))
% 0.37/0.58  (step @p30 :rule eq_resolve :premises (@p1 @p29))
% 0.37/0.58  (step @p31 :rule not_implies_elim1 :premises (@p30))
% 0.37/0.58  (step @p32 :rule bool-impl-false1 :args (@t18))
% 0.37/0.58  (step @p33 :rule beta-reduce :args ((= @t21 false)))
% 0.37/0.58  (step @p34 :rule cong :premises (@p10 @p33) :args ((=> @t18 @t21)))
% 0.37/0.58  (step @p35 :rule trans :premises (@p34 @p32))
% 0.37/0.58  (assume-push @p42 @t18)
% 0.37/0.58  (step @p37 :rule instantiate :premises (@p31) :args ((@list @t20)))
% 0.37/0.58  (step-pop @p43 :rule scope :premises (@p37))
% 0.37/0.58  (step @p38 :rule process_scope :premises (@p43) :args (@t21))
% 0.37/0.58  (step @p40 :rule eq_resolve :premises (@p38 @p35))
% 0.37/0.58  (step @p41 false :rule chain_m_resolution :premises (@p40 @p31) :args (false (@list false) (@list @t18)))
% 0.37/0.58  )
% 0.37/0.58  % SZS output end Proof
% 0.37/0.58  % cvc5 exiting
%------------------------------------------------------------------------------