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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN403+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 09:08:48 AM UTC 2026

% Result   : Theorem 0.15s 0.36s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYN403+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25  % Computer : n012.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit : 300
% 0.08/0.25  % WCLimit  : 300
% 0.08/0.25  % DateTime : Tue Jun  2 23:26:33 EDT 2026
% 0.08/0.25  % CPUTime  : 
% 0.15/0.33  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.36  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.15/0.36  % SZS status Theorem
% 0.15/0.36  % SZS output start Proof
% 0.15/0.36  (
% 0.15/0.36  (declare-sort $$unsorted 0)
% 0.15/0.36  (declare-const tptp.g (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.f (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.h (-> $$unsorted Bool))
% 0.15/0.36  (define @t1 () (@var "X" $$unsorted))
% 0.15/0.36  (define @t2 () (tptp.h @t1))
% 0.15/0.36  (define @t3 () (tptp.f @t1))
% 0.15/0.36  (define @t4 () (=> @t3 @t2))
% 0.15/0.36  (define @t5 () (tptp.g @t1))
% 0.15/0.36  (define @t6 () (=> @t5 @t2))
% 0.15/0.36  (define @t7 () (=> @t3 @t5))
% 0.15/0.36  (define @t8 () (and @t7 @t6))
% 0.15/0.36  (define @t9 () (@list @t1))
% 0.15/0.36  (define @t10 () (forall @t9 (=> @t8 @t4)))
% 0.15/0.36  (define @t11 () (not @t10))
% 0.15/0.36  (define @t12 () (not @t3))
% 0.15/0.36  (define @t13 () (and @t5 (not @t2)))
% 0.15/0.36  (define @t14 () (and @t3 (not @t5)))
% 0.15/0.36  (define @t15 () (or @t14 @t13 @t12 @t2))
% 0.15/0.36  (define @t16 () (@quantifiers_skolemize (forall @t9 @t15) 0))
% 0.15/0.36  (define @t17 () (tptp.h @t16))
% 0.15/0.36  (define @t18 () (tptp.f @t16))
% 0.15/0.36  (define @t19 () (not @t18))
% 0.15/0.36  (define @t20 () (not @t17))
% 0.15/0.36  (define @t21 () (tptp.g @t16))
% 0.15/0.36  (define @t22 () (and @t21 @t20))
% 0.15/0.36  (define @t23 () (not @t21))
% 0.15/0.36  (define @t24 () (and @t18 @t23))
% 0.15/0.36  (define @t25 () (or @t24 @t22 @t19 @t17))
% 0.15/0.36  (define @t26 () (@list true))
% 0.15/0.36  (define @t27 () (@list @t25))
% 0.15/0.36  (assume @p1 @t11)
% 0.15/0.36  (assume @p2 true)
% 0.15/0.36  (step @p3 :rule aci_norm :args ((= (or (or @t14 @t13) (or @t12 @t2)) @t15)))
% 0.15/0.36  (step @p4 :rule bool-impl-elim :args (@t3 @t2))
% 0.15/0.36  (step @p5 :rule bool-implies-de-morgan :args (@t5 @t2))
% 0.15/0.36  (step @p6 :rule bool-implies-de-morgan :args (@t3 @t5))
% 0.15/0.36  (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or (not @t7) (not @t6))))
% 0.15/0.36  (step @p8 :rule bool-and-de-morgan :args (@t7 @t6 true))
% 0.15/0.36  (step @p9 :rule trans :premises (@p8 @p7))
% 0.15/0.36  (step @p10 :rule nary_cong :premises (@p9 @p4) :args ((or (not @t8) @t4)))
% 0.15/0.36  (step @p11 :rule trans :premises (@p10 @p3))
% 0.15/0.36  (step @p12 :rule bool-impl-elim :args (@t8 @t4))
% 0.15/0.36  (step @p13 :rule trans :premises (@p12 @p11))
% 0.15/0.36  (step @p14 :rule cong :premises (@p13) :args (@t10))
% 0.15/0.36  (step @p15 :rule cong :premises (@p14) :args (@t11))
% 0.15/0.36  (step @p16 :rule eq_resolve :premises (@p1 @p15))
% 0.15/0.36  (step @p17 :rule skolemize :premises (@p16))
% 0.15/0.36  (step @p18 :rule cnf_or_neg :args (@t25 1))
% 0.15/0.36  (step @p19 :rule chain_m_resolution :premises (@p18 @p17) :args ((not @t22) @t26 @t27))
% 0.15/0.36  (step @p20 :rule cnf_or_neg :args (@t25 3))
% 0.15/0.36  (step @p21 :rule reordering :premises (@p20) :args ((or @t20 @t25)))
% 0.15/0.36  (step @p22 :rule chain_m_resolution :premises (@p21 @p17) :args (@t20 @t26 @t27))
% 0.15/0.36  (step @p23 :rule bool-double-not-elim :args (@t18))
% 0.15/0.36  (step @p24 :rule refl :args (@t25))
% 0.15/0.36  (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t25 (not @t19))))
% 0.15/0.36  (step @p26 :rule cnf_or_neg :args (@t25 2))
% 0.15/0.36  (step @p27 :rule eq_resolve :premises (@p26 @p25))
% 0.15/0.36  (step @p28 :rule reordering :premises (@p27) :args ((or @t18 @t25)))
% 0.15/0.36  (step @p29 :rule chain_m_resolution :premises (@p28 @p17) :args (@t18 @t26 @t27))
% 0.15/0.36  (step @p30 :rule cnf_or_neg :args (@t25 0))
% 0.15/0.36  (step @p31 :rule chain_m_resolution :premises (@p30 @p17) :args ((not @t24) @t26 @t27))
% 0.15/0.36  (step @p32 :rule bool-double-not-elim :args (@t21))
% 0.15/0.36  (step @p33 :rule refl :args (@t19))
% 0.15/0.36  (step @p34 :rule refl :args (@t24))
% 0.15/0.36  (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args ((or @t24 @t19 (not @t23))))
% 0.15/0.36  (step @p36 :rule cnf_and_neg :args (@t24))
% 0.15/0.36  (step @p37 :rule eq_resolve :premises (@p36 @p35))
% 0.15/0.36  (step @p38 :rule reordering :premises (@p37) :args ((or @t21 @t24 @t19)))
% 0.15/0.36  (step @p39 :rule chain_m_resolution :premises (@p38 @p31 @p29) :args (@t21 (@list true false) (@list @t24 @t18)))
% 0.15/0.36  (step @p40 :rule bool-double-not-elim :args (@t17))
% 0.15/0.36  (step @p41 :rule refl :args (@t23))
% 0.15/0.36  (step @p42 :rule refl :args (@t22))
% 0.15/0.36  (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args ((or @t22 @t23 (not @t20))))
% 0.15/0.36  (step @p44 :rule cnf_and_neg :args (@t22))
% 0.15/0.36  (step @p45 :rule eq_resolve :premises (@p44 @p43))
% 0.15/0.36  (step @p46 :rule reordering :premises (@p45) :args ((or @t23 @t17 @t22)))
% 0.15/0.36  (step @p47 false :rule chain_m_resolution :premises (@p46 @p39 @p22 @p19) :args (false (@list false true true) (@list @t21 @t17 @t22)))
% 0.15/0.36  )
% 0.15/0.36  % SZS output end Proof
% 0.15/0.36  % cvc5 exiting
%------------------------------------------------------------------------------