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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO348^5 : 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 : n018.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 0.32s 0.57s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO348^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n018.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 00:05:05 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TH0
% 0.32/0.57  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.32/0.57  % SZS status Theorem
% 0.32/0.57  % SZS output start Proof
% 0.32/0.57  (
% 0.32/0.57  (declare-const tptp.a Bool)
% 0.32/0.57  (declare-const tptp.b Bool)
% 0.32/0.57  (define @t1 () (@var "P" (-> Bool Bool)))
% 0.32/0.57  (define @t2 () (_ @t1 tptp.b))
% 0.32/0.57  (define @t3 () (_ @t1 tptp.a))
% 0.32/0.57  (define @t4 () (@list @t1))
% 0.32/0.57  (define @t5 () (forall @t4 (=> @t3 @t2)))
% 0.32/0.57  (define @t6 () (=> (= tptp.a tptp.b) @t5))
% 0.32/0.57  (define @t7 () (not @t6))
% 0.32/0.57  (define @t8 () (_ @t1 tptp.a))
% 0.32/0.57  (define @t9 () (not @t8))
% 0.32/0.57  (define @t10 () (forall @t4 (or @t9 @t8)))
% 0.32/0.57  (define @t11 () (_ @t1 tptp.b))
% 0.32/0.57  (define @t12 () (not @t3))
% 0.32/0.57  (define @t13 () (or @t12 @t2))
% 0.32/0.57  (define @t14 () (or @t9 @t11))
% 0.32/0.57  (define @t15 () (forall @t4 @t14))
% 0.32/0.57  (assume @p1 @t7)
% 0.32/0.57  (assume @p2 true)
% 0.32/0.57  (step @p3 :rule evaluate :args ((not true)))
% 0.32/0.57  (step @p4 :rule quant-unused-vars :args ((= (forall @t4 true) true)))
% 0.32/0.57  (step @p5 :rule bool-or-taut2 :args (false @t8 false false))
% 0.32/0.57  (step @p6 :rule cong :premises (@p5) :args (@t10))
% 0.32/0.57  (step @p7 :rule trans :premises (@p6 @p4))
% 0.32/0.57  (step @p8 :rule cong :premises (@p7) :args ((not @t10)))
% 0.32/0.57  (step @p9 :rule trans :premises (@p8 @p3))
% 0.32/0.57  (step @p10 :rule refl :args (@t11))
% 0.32/0.57  (step @p11 :rule refl :args (@t2))
% 0.32/0.57  (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t2 @t11)))
% 0.32/0.57  (step @p13 :rule symm :premises (@p12))
% 0.32/0.57  (step @p14 :rule eq_resolve :premises (@p11 @p13))
% 0.32/0.57  (step @p15 :rule refl :args (@t8))
% 0.32/0.57  (step @p16 :rule refl :args (@t3))
% 0.32/0.57  (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t3 @t8)))
% 0.32/0.57  (step @p18 :rule symm :premises (@p17))
% 0.32/0.57  (step @p19 :rule eq_resolve :premises (@p16 @p18))
% 0.32/0.57  (step @p20 :rule cong :premises (@p19) :args (@t12))
% 0.32/0.57  (step @p21 :rule nary_cong :premises (@p20 @p14) :args (@t13))
% 0.32/0.57  (step @p22 :rule cong :premises (@p21) :args ((forall @t4 @t13)))
% 0.32/0.57  (step @p23 :rule bool-impl-elim :args (@t3 @t2))
% 0.32/0.57  (step @p24 :rule cong :premises (@p23) :args (@t5))
% 0.32/0.57  (step @p25 :rule trans :premises (@p24 @p22))
% 0.32/0.57  (step @p26 :rule eq-symm :args (tptp.a tptp.b))
% 0.32/0.57  (step @p27 :rule cong :premises (@p26 @p25) :args (@t6))
% 0.32/0.57  (step @p28 :rule cong :premises (@p27) :args (@t7))
% 0.32/0.57  (step @p29 :rule eq_resolve :premises (@p1 @p28))
% 0.32/0.57  (step @p30 :rule not_implies_elim1 :premises (@p29))
% 0.32/0.57  (step @p31 :rule cong :premises (@p30) :args (@t11))
% 0.32/0.57  (step @p32 :rule refl :args (@t9))
% 0.32/0.57  (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t14))
% 0.32/0.57  (step @p34 :rule cong :premises (@p33) :args (@t15))
% 0.32/0.57  (step @p35 :rule cong :premises (@p34) :args ((not @t15)))
% 0.32/0.57  (step @p36 :rule trans :premises (@p35 @p9))
% 0.32/0.57  (step @p37 :rule not_implies_elim2 :premises (@p29))
% 0.32/0.57  (step @p38 false :rule eq_resolve :premises (@p37 @p36))
% 0.32/0.57  )
% 0.32/0.57  % SZS output end Proof
% 0.32/0.57  % cvc5 exiting
%------------------------------------------------------------------------------