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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO346^5 : 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 : n013.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 09:12:27 AM UTC 2026

% Result   : Theorem 0.27s 0.54s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO346^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n013.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Wed Jun  3 00:04:30 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TH0
% 0.27/0.54  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.27/0.54  % SZS status Theorem
% 0.27/0.54  % SZS output start Proof
% 0.27/0.54  (
% 0.27/0.54  (declare-const tptp.cA Bool)
% 0.27/0.54  (declare-const tptp.cP (-> Bool Bool))
% 0.27/0.54  (declare-const tptp.cB Bool)
% 0.27/0.54  (define @t1 () (_ tptp.cP tptp.cB))
% 0.27/0.54  (define @t2 () (_ tptp.cP tptp.cA))
% 0.27/0.54  (define @t3 () (not @t2))
% 0.27/0.54  (define @t4 () (not (= tptp.cA tptp.cB)))
% 0.27/0.54  (define @t5 () (or @t4 @t3 @t1))
% 0.27/0.54  (define @t6 () (not @t5))
% 0.27/0.54  (define @t7 () (@purify tptp.cA))
% 0.27/0.54  (define @t8 () (tptp.cP @t7))
% 0.27/0.54  (define @t9 () (_ tptp.cP @t7))
% 0.27/0.54  (define @t10 () (or @t3 @t2))
% 0.27/0.54  (define @t11 () (not (= tptp.cA tptp.cA)))
% 0.27/0.54  (define @t12 () (or @t11 @t3 @t2))
% 0.27/0.54  (define @t13 () (= tptp.cB tptp.cA))
% 0.27/0.54  (define @t14 () (not @t13))
% 0.27/0.54  (define @t15 () (or @t14 @t3 @t1))
% 0.27/0.54  (assume @p1 @t6)
% 0.27/0.54  (assume @p2 true)
% 0.27/0.54  (step @p3 :rule refl :args (@t8))
% 0.27/0.54  (step @p4 :rule refl :args (@t9))
% 0.27/0.54  (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t9 @t8)))
% 0.27/0.54  (step @p6 :rule symm :premises (@p5))
% 0.27/0.54  (step @p7 :rule eq_resolve :premises (@p4 @p6))
% 0.27/0.54  (step @p8 :rule eq-refl :args (tptp.cA))
% 0.27/0.54  (step @p9 :rule skolem_intro :args (@t7))
% 0.27/0.54  (step @p10 :rule refl :args (tptp.cA))
% 0.27/0.54  (step @p11 :rule cong :premises (@p10 @p9) :args ((= tptp.cA @t7)))
% 0.27/0.54  (step @p12 :rule trans :premises (@p11 @p8))
% 0.27/0.54  (step @p13 :rule true_elim :premises (@p12))
% 0.27/0.54  (step @p14 :rule refl :args (tptp.cP))
% 0.27/0.54  (step @p15 :rule ho_cong :premises (@p14 @p13))
% 0.27/0.54  (step @p16 :rule trans :premises (@p15 @p7))
% 0.27/0.54  (step @p17 :rule cong :premises (@p16) :args (@t3))
% 0.27/0.54  (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t10))
% 0.27/0.54  (step @p19 :rule cong :premises (@p18) :args ((not @t10)))
% 0.27/0.54  (step @p20 :rule aci_norm :args ((= (or false @t3 @t2) @t10)))
% 0.27/0.54  (step @p21 :rule refl :args (@t2))
% 0.27/0.54  (step @p22 :rule refl :args (@t3))
% 0.27/0.54  (step @p23 :rule evaluate :args ((not true)))
% 0.27/0.54  (step @p24 :rule cong :premises (@p8) :args (@t11))
% 0.27/0.54  (step @p25 :rule trans :premises (@p24 @p23))
% 0.27/0.54  (step @p26 :rule nary_cong :premises (@p25 @p22 @p21) :args (@t12))
% 0.27/0.54  (step @p27 :rule trans :premises (@p26 @p20))
% 0.27/0.54  (step @p28 :rule cong :premises (@p27) :args ((not @t12)))
% 0.27/0.54  (step @p29 :rule refl :args (@t1))
% 0.27/0.54  (step @p30 :rule eq-symm :args (tptp.cA tptp.cB))
% 0.27/0.54  (step @p31 :rule cong :premises (@p30) :args (@t4))
% 0.27/0.54  (step @p32 :rule nary_cong :premises (@p31 @p22 @p29) :args (@t5))
% 0.27/0.54  (step @p33 :rule cong :premises (@p32) :args (@t6))
% 0.27/0.54  (step @p34 :rule eq_resolve :premises (@p1 @p33))
% 0.27/0.54  (step @p35 :rule not_or_elim :premises (@p34) :args (0))
% 0.27/0.54  (step @p36 :rule not_not_elim :premises (@p35))
% 0.27/0.54  (step @p37 :rule ho_cong :premises (@p14 @p36))
% 0.27/0.54  (step @p38 :rule cong :premises (@p36 @p10) :args (@t13))
% 0.27/0.54  (step @p39 :rule cong :premises (@p38) :args (@t14))
% 0.27/0.54  (step @p40 :rule nary_cong :premises (@p39 @p22 @p37) :args (@t15))
% 0.27/0.54  (step @p41 :rule cong :premises (@p40) :args ((not @t15)))
% 0.27/0.54  (step @p42 :rule trans :premises (@p41 @p28))
% 0.27/0.54  (step @p43 :rule trans :premises (@p33 @p42 @p19))
% 0.27/0.54  (step @p44 :rule eq_resolve :premises (@p1 @p43))
% 0.27/0.54  (step @p45 :rule not_or_elim :premises (@p44) :args (0))
% 0.27/0.54  (step @p46 :rule not_not_elim :premises (@p45))
% 0.27/0.54  (step @p47 :rule not_or_elim :premises (@p44) :args (1))
% 0.27/0.54  (step @p48 false :rule chain_m_resolution :premises (@p47 @p46) :args (false (@list false) (@list @t8)))
% 0.27/0.54  )
% 0.27/0.54  % SZS output end Proof
% 0.27/0.54  % cvc5 exiting
%------------------------------------------------------------------------------