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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO079^5 : 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 : n015.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 0.31s 0.53s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO079^5 : 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
% 0.16/0.34  % Computer : n015.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 : Tue Jun  2 23:57:49 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TH0
% 0.31/0.53  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.31/0.53  % SZS status Theorem
% 0.31/0.53  % SZS output start Proof
% 0.31/0.53  (
% 0.31/0.53  (declare-const tptp.cP Bool)
% 0.31/0.53  (declare-const tptp.cQ Bool)
% 0.31/0.53  (declare-const tptp.cR Bool)
% 0.31/0.53  (define @t1 () (= tptp.cP (= tptp.cQ tptp.cR)))
% 0.31/0.53  (define @t2 () (= tptp.cP tptp.cQ))
% 0.31/0.53  (define @t3 () (=> (= @t2 tptp.cR) @t1))
% 0.31/0.53  (define @t4 () (not @t3))
% 0.31/0.53  (define @t5 () (= tptp.cQ tptp.cP))
% 0.31/0.53  (define @t6 () (= tptp.cQ @t5))
% 0.31/0.53  (define @t7 () (= tptp.cP (= @t5 tptp.cQ)))
% 0.31/0.53  (define @t8 () (=> (= @t5 @t5) @t7))
% 0.31/0.53  (define @t9 () (= tptp.cR tptp.cQ))
% 0.31/0.53  (define @t10 () (= tptp.cP @t9))
% 0.31/0.53  (define @t11 () (= tptp.cR @t5))
% 0.31/0.53  (define @t12 () (=> @t11 @t10))
% 0.31/0.53  (define @t13 () (not tptp.cQ))
% 0.31/0.53  (define @t14 () (not tptp.cP))
% 0.31/0.53  (define @t15 () (not @t5))
% 0.31/0.53  (define @t16 () (@list @t5 tptp.cQ @t6))
% 0.31/0.53  (define @t17 () (not @t6))
% 0.31/0.53  (assume @p1 @t4)
% 0.31/0.53  (assume @p2 true)
% 0.31/0.53  (step @p3 :rule bool-impl-true2 :args ((= tptp.cP @t6)))
% 0.31/0.53  (step @p4 :rule eq-symm :args (@t5 tptp.cQ))
% 0.31/0.53  (step @p5 :rule refl :args (tptp.cP))
% 0.31/0.53  (step @p6 :rule cong :premises (@p5 @p4) :args (@t7))
% 0.31/0.53  (step @p7 :rule eq-refl :args (@t5))
% 0.31/0.53  (step @p8 :rule cong :premises (@p7 @p6) :args (@t8))
% 0.31/0.53  (step @p9 :rule trans :premises (@p8 @p3))
% 0.31/0.53  (step @p10 :rule cong :premises (@p9) :args ((not @t8)))
% 0.31/0.53  (step @p11 :rule refl :args (tptp.cQ))
% 0.31/0.53  (step @p12 :rule eq-symm :args (tptp.cQ tptp.cR))
% 0.31/0.53  (step @p13 :rule cong :premises (@p5 @p12) :args (@t1))
% 0.31/0.53  (step @p14 :rule eq-symm :args (tptp.cP tptp.cQ))
% 0.31/0.53  (step @p15 :rule refl :args (tptp.cR))
% 0.31/0.53  (step @p16 :rule cong :premises (@p15 @p14) :args ((= tptp.cR @t2)))
% 0.31/0.53  (step @p17 :rule eq-symm :args (@t2 tptp.cR))
% 0.31/0.53  (step @p18 :rule trans :premises (@p17 @p16))
% 0.31/0.53  (step @p19 :rule cong :premises (@p18 @p13) :args (@t3))
% 0.31/0.53  (step @p20 :rule cong :premises (@p19) :args (@t4))
% 0.31/0.53  (step @p21 :rule eq_resolve :premises (@p1 @p20))
% 0.31/0.53  (step @p22 :rule not_implies_elim1 :premises (@p21))
% 0.31/0.53  (step @p23 :rule cong :premises (@p22 @p11) :args (@t9))
% 0.31/0.53  (step @p24 :rule cong :premises (@p5 @p23) :args (@t10))
% 0.31/0.53  (step @p25 :rule refl :args (@t5))
% 0.31/0.53  (step @p26 :rule cong :premises (@p22 @p25) :args (@t11))
% 0.31/0.53  (step @p27 :rule cong :premises (@p26 @p24) :args (@t12))
% 0.31/0.53  (step @p28 :rule cong :premises (@p27) :args ((not @t12)))
% 0.31/0.53  (step @p29 :rule trans :premises (@p28 @p10))
% 0.31/0.53  (step @p30 :rule trans :premises (@p20 @p29))
% 0.31/0.53  (step @p31 :rule eq_resolve :premises (@p1 @p30))
% 0.31/0.53  (step @p32 :rule not_equiv_elim2 :premises (@p31))
% 0.31/0.53  (step @p33 :rule cnf_equiv_neg2 :args (@t5))
% 0.31/0.53  (step @p34 :rule reordering :premises (@p33) :args ((or @t5 @t14 @t13)))
% 0.31/0.53  (step @p35 :rule cnf_equiv_neg2 :args (@t6))
% 0.31/0.53  (step @p36 :rule chain_m_resolution :premises (@p35 @p34 @p32) :args ((or @t14 @t13) (@list false true) (@list @t5 @t6)))
% 0.31/0.53  (step @p37 :rule cnf_equiv_pos2 :args (@t5))
% 0.31/0.53  (step @p38 :rule reordering :premises (@p37) :args ((or tptp.cQ @t14 @t15)))
% 0.31/0.53  (step @p39 :rule cnf_equiv_neg1 :args (@t6))
% 0.31/0.53  (step @p40 :rule reordering :premises (@p39) :args ((or tptp.cQ @t5 @t6)))
% 0.31/0.53  (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p36 @p32) :args (@t14 (@list true true true) @t16))
% 0.31/0.53  (step @p42 :rule not_equiv_elim1 :premises (@p31))
% 0.31/0.53  (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args (@t6 (@list true) (@list tptp.cP)))
% 0.31/0.53  (step @p44 :rule cnf_equiv_pos1 :args (@t5))
% 0.31/0.53  (step @p45 :rule reordering :premises (@p44) :args ((or tptp.cP @t13 @t15)))
% 0.31/0.53  (step @p46 :rule cnf_equiv_pos1 :args (@t6))
% 0.31/0.53  (step @p47 :rule reordering :premises (@p46) :args ((or @t5 @t13 @t17)))
% 0.31/0.53  (step @p48 :rule chain_m_resolution :premises (@p47 @p43 @p45 @p41) :args (@t13 (@list false true true) (@list @t6 @t5 tptp.cP)))
% 0.31/0.53  (step @p49 :rule cnf_equiv_neg1 :args (@t5))
% 0.31/0.53  (step @p50 :rule reordering :premises (@p49) :args ((or tptp.cQ tptp.cP @t5)))
% 0.31/0.53  (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p41) :args (@t5 (@list true true) (@list tptp.cQ tptp.cP)))
% 0.31/0.53  (step @p52 :rule cnf_equiv_pos2 :args (@t6))
% 0.31/0.53  (step @p53 :rule reordering :premises (@p52) :args ((or tptp.cQ @t15 @t17)))
% 0.31/0.53  (step @p54 false :rule chain_m_resolution :premises (@p53 @p51 @p48 @p43) :args (false (@list false true false) @t16))
% 0.31/0.53  )
% 0.31/0.53  % SZS output end Proof
% 0.31/0.53  % cvc5 exiting
%------------------------------------------------------------------------------