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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN955+1 : TPTP v9.2.1. Released v3.1.0.
% 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 09:10:08 AM UTC 2026

% Result   : Theorem 0.35s 0.57s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN955+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n018.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 23:50:05 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.57  % SZS status Theorem
% 0.35/0.57  % SZS output start Proof
% 0.35/0.57  (
% 0.35/0.57  (declare-sort $$unsorted 0)
% 0.35/0.57  (declare-const tptp.a (-> $$unsorted Bool))
% 0.35/0.57  (declare-const tptp.b (-> $$unsorted Bool))
% 0.35/0.57  (define @t1 () (@var "X" $$unsorted))
% 0.35/0.57  (define @t2 () (tptp.b @t1))
% 0.35/0.57  (define @t3 () (@list @t1))
% 0.35/0.57  (define @t4 () (exists @t3 @t2))
% 0.35/0.57  (define @t5 () (tptp.a @t1))
% 0.35/0.57  (define @t6 () (exists @t3 @t5))
% 0.35/0.57  (define @t7 () (=> @t6 @t4))
% 0.35/0.57  (define @t8 () (forall @t3 (=> @t5 @t2)))
% 0.35/0.57  (define @t9 () (=> @t8 @t7))
% 0.35/0.57  (define @t10 () (not @t9))
% 0.35/0.57  (define @t11 () (forall @t3 (not @t2)))
% 0.35/0.57  (define @t12 () (forall @t3 (not @t5)))
% 0.35/0.57  (define @t13 () (not @t12))
% 0.35/0.57  (define @t14 () (@quantifiers_skolemize @t12 0))
% 0.35/0.57  (define @t15 () (@list @t14))
% 0.35/0.57  (define @t16 () (tptp.a @t14))
% 0.35/0.57  (define @t17 () (not @t16))
% 0.35/0.57  (define @t18 () (not @t17))
% 0.35/0.57  (define @t19 () (tptp.b @t14))
% 0.35/0.57  (define @t20 () (or @t17 @t19))
% 0.35/0.57  (define @t21 () (@list false false))
% 0.35/0.57  (assume @p1 @t10)
% 0.35/0.57  (assume @p2 true)
% 0.35/0.57  (step @p3 :rule exists-elim :args ((= @t4 (not @t11))))
% 0.35/0.57  (step @p4 :rule exists-elim :args ((= @t6 @t13)))
% 0.35/0.57  (step @p5 :rule cong :premises (@p4 @p3) :args (@t7))
% 0.35/0.57  (step @p6 :rule bool-impl-elim :args (@t5 @t2))
% 0.35/0.57  (step @p7 :rule cong :premises (@p6) :args (@t8))
% 0.35/0.57  (step @p8 :rule cong :premises (@p7 @p5) :args (@t9))
% 0.35/0.57  (step @p9 :rule cong :premises (@p8) :args (@t10))
% 0.35/0.57  (step @p10 :rule eq_resolve :premises (@p1 @p9))
% 0.35/0.57  (step @p11 :rule not_implies_elim2 :premises (@p10))
% 0.35/0.57  (step @p12 :rule not_implies_elim2 :premises (@p11))
% 0.35/0.57  (step @p13 :rule not_not_elim :premises (@p12))
% 0.35/0.57  (step @p14 :rule not_implies_elim1 :premises (@p10))
% 0.35/0.57  (step @p15 :rule instantiate :premises (@p14) :args (@t15))
% 0.35/0.57  (step @p16 :rule not_implies_elim1 :premises (@p11))
% 0.35/0.57  (step @p17 :rule refl :args (@t16))
% 0.35/0.57  (step @p18 :rule bool-double-not-elim :args (@t12))
% 0.35/0.57  (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t13) @t16)))
% 0.35/0.57  (step @p20 :rule bool-double-not-elim :args (@t16))
% 0.35/0.57  (step @p21 :rule refl :args (@t13))
% 0.35/0.57  (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t13 @t18)))
% 0.35/0.57  (assume-push @p40 @t13)
% 0.35/0.57  (step @p24 :rule skolemize :premises (@p16))
% 0.35/0.57  (step-pop @p41 :rule scope :premises (@p24))
% 0.35/0.57  (step @p25 :rule process_scope :premises (@p41) :args (@t18))
% 0.35/0.57  (step @p27 :rule eq_resolve :premises (@p25 @p22))
% 0.35/0.57  (step @p28 :rule implies_elim :premises (@p27))
% 0.35/0.57  (step @p29 :rule eq_resolve :premises (@p28 @p19))
% 0.35/0.57  (step @p30 :rule chain_m_resolution :premises (@p29 @p16) :args (@t16 (@list true) (@list @t12)))
% 0.35/0.57  (step @p31 :rule cnf_or_pos :args (@t20))
% 0.35/0.57  (step @p32 :rule reordering :premises (@p31) :args ((or @t17 @t19 (not @t20))))
% 0.35/0.57  (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p15) :args (@t19 @t21 (@list @t16 @t20)))
% 0.35/0.57  (assume-push @p42 @t11)
% 0.35/0.57  (step @p35 :rule instantiate :premises (@p13) :args (@t15))
% 0.35/0.57  (step-pop @p43 :rule scope :premises (@p35))
% 0.35/0.57  (step @p36 :rule process_scope :premises (@p43) :args ((not @t19)))
% 0.35/0.57  (step @p38 :rule implies_elim :premises (@p36))
% 0.35/0.57  (step @p39 false :rule chain_m_resolution :premises (@p38 @p33 @p13) :args (false @t21 (@list @t19 @t11)))
% 0.35/0.57  )
% 0.35/0.57  % SZS output end Proof
% 0.35/0.57  % cvc5 exiting
%------------------------------------------------------------------------------