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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO349^5 : 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 : n017.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 09:12:28 AM UTC 2026

% Result   : Theorem 0.38s 0.55s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO349^5 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n017.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Wed Jun  3 00:03:46 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TH0
% 0.38/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.55  % SZS status Theorem
% 0.38/0.55  % SZS output start Proof
% 0.38/0.55  (
% 0.38/0.55  (declare-const tptp.cA Bool)
% 0.38/0.55  (declare-const tptp.cP (-> Bool Bool))
% 0.38/0.55  (declare-const tptp.cB Bool)
% 0.38/0.55  (define @t1 () (not (_ tptp.cP tptp.cA)))
% 0.38/0.55  (define @t2 () (not tptp.cB))
% 0.38/0.55  (define @t3 () (not tptp.cA))
% 0.38/0.55  (define @t4 () (or @t3 @t2 @t1 (_ tptp.cP tptp.cB)))
% 0.38/0.55  (define @t5 () (not @t4))
% 0.38/0.55  (define @t6 () (@purify true))
% 0.38/0.55  (define @t7 () (tptp.cP @t6))
% 0.38/0.55  (define @t8 () (_ tptp.cP @t6))
% 0.38/0.55  (define @t9 () (_ tptp.cP true))
% 0.38/0.55  (define @t10 () (not @t9))
% 0.38/0.55  (define @t11 () (or @t10 @t9))
% 0.38/0.55  (define @t12 () (not true))
% 0.38/0.55  (define @t13 () (or @t12 @t12 @t10 @t9))
% 0.38/0.55  (assume @p1 @t5)
% 0.38/0.55  (assume @p2 true)
% 0.38/0.55  (step @p3 :rule refl :args (@t7))
% 0.38/0.55  (step @p4 :rule refl :args (@t8))
% 0.38/0.55  (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t8 @t7)))
% 0.38/0.55  (step @p6 :rule symm :premises (@p5))
% 0.38/0.55  (step @p7 :rule eq_resolve :premises (@p4 @p6))
% 0.38/0.55  (step @p8 :rule skolem_intro :args (@t6))
% 0.38/0.55  (step @p9 :rule symm :premises (@p8))
% 0.38/0.55  (step @p10 :rule refl :args (tptp.cP))
% 0.38/0.55  (step @p11 :rule ho_cong :premises (@p10 @p9))
% 0.38/0.55  (step @p12 :rule trans :premises (@p11 @p7))
% 0.38/0.55  (step @p13 :rule cong :premises (@p12) :args (@t10))
% 0.38/0.55  (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t11))
% 0.38/0.55  (step @p15 :rule cong :premises (@p14) :args ((not @t11)))
% 0.38/0.55  (step @p16 :rule aci_norm :args ((= (or false false @t10 @t9) @t11)))
% 0.38/0.55  (step @p17 :rule refl :args (@t9))
% 0.38/0.55  (step @p18 :rule refl :args (@t10))
% 0.38/0.55  (step @p19 :rule evaluate :args (@t12))
% 0.38/0.55  (step @p20 :rule nary_cong :premises (@p19 @p19 @p18 @p17) :args (@t13))
% 0.38/0.55  (step @p21 :rule trans :premises (@p20 @p16))
% 0.38/0.55  (step @p22 :rule cong :premises (@p21) :args ((not @t13)))
% 0.38/0.55  (step @p23 :rule bool-eq-true :args (tptp.cB))
% 0.38/0.55  (step @p24 :rule symm :premises (@p23))
% 0.38/0.55  (step @p25 :rule not_or_elim :premises (@p1) :args (1))
% 0.38/0.55  (step @p26 :rule not_not_elim :premises (@p25))
% 0.38/0.55  (step @p27 :rule eq_resolve :premises (@p26 @p24))
% 0.38/0.55  (step @p28 :rule ho_cong :premises (@p10 @p27))
% 0.38/0.55  (step @p29 :rule bool-eq-true :args (tptp.cA))
% 0.38/0.55  (step @p30 :rule symm :premises (@p29))
% 0.38/0.55  (step @p31 :rule not_or_elim :premises (@p1) :args (0))
% 0.38/0.55  (step @p32 :rule not_not_elim :premises (@p31))
% 0.38/0.55  (step @p33 :rule eq_resolve :premises (@p32 @p30))
% 0.38/0.55  (step @p34 :rule ho_cong :premises (@p10 @p33))
% 0.38/0.55  (step @p35 :rule cong :premises (@p34) :args (@t1))
% 0.38/0.55  (step @p36 :rule cong :premises (@p27) :args (@t2))
% 0.38/0.55  (step @p37 :rule cong :premises (@p33) :args (@t3))
% 0.38/0.55  (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p28) :args (@t4))
% 0.38/0.55  (step @p39 :rule cong :premises (@p38) :args (@t5))
% 0.38/0.55  (step @p40 :rule trans :premises (@p39 @p22))
% 0.38/0.55  (step @p41 :rule trans :premises (@p40 @p15))
% 0.38/0.55  (step @p42 :rule eq_resolve :premises (@p1 @p41))
% 0.38/0.55  (step @p43 :rule not_or_elim :premises (@p42) :args (0))
% 0.38/0.55  (step @p44 :rule not_not_elim :premises (@p43))
% 0.38/0.55  (step @p45 :rule not_or_elim :premises (@p42) :args (1))
% 0.38/0.55  (step @p46 false :rule chain_m_resolution :premises (@p45 @p44) :args (false (@list false) (@list @t7)))
% 0.38/0.55  )
% 0.38/0.55  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------