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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO081^5 : 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 : n026.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 09:12:00 AM UTC 2026

% Result   : Theorem 0.45s 0.69s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO081^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n026.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 : Tue Jun  2 23:58:10 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.50  %----Proving TH0
% 0.45/0.69  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.45/0.69  % SZS status Theorem
% 0.45/0.69  % SZS output start Proof
% 0.45/0.69  (
% 0.45/0.69  (declare-sort $$unsorted 0)
% 0.45/0.69  (declare-const tptp.cA $$unsorted)
% 0.45/0.69  (declare-const tptp.cR (-> $$unsorted $$unsorted Bool))
% 0.45/0.69  (declare-const tptp.cB $$unsorted)
% 0.45/0.69  (define @t1 () (@var "Y" $$unsorted))
% 0.45/0.69  (define @t2 () (_ (_ tptp.cR tptp.cB) @t1))
% 0.45/0.69  (define @t3 () (@list @t1))
% 0.45/0.69  (define @t4 () (exists @t3 @t2))
% 0.45/0.69  (define @t5 () (@var "X" $$unsorted))
% 0.45/0.69  (define @t6 () (_ (_ tptp.cR @t5) tptp.cA))
% 0.45/0.69  (define @t7 () (@list @t5))
% 0.45/0.69  (define @t8 () (forall @t7 @t6))
% 0.45/0.69  (define @t9 () (=> @t8 @t4))
% 0.45/0.69  (define @t10 () (not @t9))
% 0.45/0.69  (define @t11 () (tptp.cR tptp.cB @t1))
% 0.45/0.69  (define @t12 () (not @t2))
% 0.45/0.69  (define @t13 () (forall @t3 @t12))
% 0.45/0.69  (define @t14 () (not @t13))
% 0.45/0.69  (define @t15 () (tptp.cR @t5 tptp.cA))
% 0.45/0.69  (define @t16 () (forall @t7 @t15))
% 0.45/0.69  (define @t17 () (tptp.cR tptp.cB tptp.cA))
% 0.45/0.69  (assume @p1 @t10)
% 0.45/0.69  (assume @p2 true)
% 0.45/0.69  (step @p3 :rule refl :args (@t11))
% 0.45/0.69  (step @p4 :rule refl :args (@t2))
% 0.45/0.69  (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t11)))
% 0.45/0.69  (step @p6 :rule symm :premises (@p5))
% 0.45/0.69  (step @p7 :rule eq_resolve :premises (@p4 @p6))
% 0.45/0.69  (step @p8 :rule cong :premises (@p7) :args (@t12))
% 0.45/0.69  (step @p9 :rule cong :premises (@p8) :args (@t13))
% 0.45/0.69  (step @p10 :rule cong :premises (@p9) :args (@t14))
% 0.45/0.69  (step @p11 :rule exists-elim :args ((= @t4 @t14)))
% 0.45/0.69  (step @p12 :rule trans :premises (@p11 @p10))
% 0.45/0.69  (step @p13 :rule refl :args (@t15))
% 0.45/0.69  (step @p14 :rule refl :args (@t6))
% 0.45/0.69  (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t6 @t15)))
% 0.45/0.69  (step @p16 :rule symm :premises (@p15))
% 0.45/0.69  (step @p17 :rule eq_resolve :premises (@p14 @p16))
% 0.45/0.69  (step @p18 :rule cong :premises (@p17) :args (@t8))
% 0.45/0.69  (step @p19 :rule cong :premises (@p18 @p12) :args (@t9))
% 0.45/0.69  (step @p20 :rule cong :premises (@p19) :args (@t10))
% 0.45/0.69  (step @p21 :rule eq_resolve :premises (@p1 @p20))
% 0.45/0.69  (step @p22 :rule not_implies_elim1 :premises (@p21))
% 0.45/0.69  (step @p23 :rule not_implies_elim2 :premises (@p21))
% 0.45/0.69  (step @p24 :rule not_not_elim :premises (@p23))
% 0.45/0.69  (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.cA)))
% 0.45/0.69  (assume-push @p32 @t16)
% 0.45/0.69  (step @p27 :rule instantiate :premises (@p22) :args ((@list tptp.cB)))
% 0.45/0.69  (step-pop @p33 :rule scope :premises (@p27))
% 0.45/0.69  (step @p28 :rule process_scope :premises (@p33) :args (@t17))
% 0.45/0.69  (step @p30 :rule implies_elim :premises (@p28))
% 0.45/0.69  (step @p31 false :rule chain_m_resolution :premises (@p30 @p25 @p22) :args (false (@list true false) (@list @t17 @t16)))
% 0.45/0.69  )
% 0.45/0.69  % SZS output end Proof
% 0.45/0.69  % cvc5 exiting
%------------------------------------------------------------------------------