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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN942+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 : n024.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 09:10:06 AM UTC 2026

% Result   : Theorem 0.16s 0.35s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYN942+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n024.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue Jun  2 18:49:30 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.07/0.32  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.35  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.16/0.35  % SZS status Theorem
% 0.16/0.35  % SZS output start Proof
% 0.16/0.35  (
% 0.16/0.35  (declare-sort $$unsorted 0)
% 0.16/0.35  (declare-const tptp.b (-> $$unsorted Bool))
% 0.16/0.35  (declare-const tptp.a (-> $$unsorted Bool))
% 0.16/0.35  (declare-const tptp.c (-> $$unsorted Bool))
% 0.16/0.35  (define @t1 () (@var "X" $$unsorted))
% 0.16/0.35  (define @t2 () (tptp.c @t1))
% 0.16/0.35  (define @t3 () (tptp.a @t1))
% 0.16/0.35  (define @t4 () (and @t3 @t2))
% 0.16/0.35  (define @t5 () (@list @t1))
% 0.16/0.35  (define @t6 () (exists @t5 @t4))
% 0.16/0.35  (define @t7 () (tptp.b @t1))
% 0.16/0.35  (define @t8 () (forall @t5 (=> @t3 @t7)))
% 0.16/0.35  (define @t9 () (not @t8))
% 0.16/0.35  (define @t10 () (or @t7 @t2))
% 0.16/0.35  (define @t11 () (forall @t5 (=> @t3 @t10)))
% 0.16/0.35  (define @t12 () (and @t11 @t9))
% 0.16/0.35  (define @t13 () (=> @t12 @t6))
% 0.16/0.35  (define @t14 () (not @t13))
% 0.16/0.35  (define @t15 () (forall @t5 (not @t4)))
% 0.16/0.35  (define @t16 () (not @t15))
% 0.16/0.35  (define @t17 () (not @t3))
% 0.16/0.35  (define @t18 () (@quantifiers_skolemize (forall @t5 (or @t17 @t7)) 0))
% 0.16/0.35  (define @t19 () (tptp.a @t18))
% 0.16/0.35  (define @t20 () (tptp.b @t18))
% 0.16/0.35  (define @t21 () (not @t19))
% 0.16/0.35  (define @t22 () (or @t21 @t20))
% 0.16/0.35  (define @t23 () (@list true))
% 0.16/0.35  (define @t24 () (@list @t22))
% 0.16/0.35  (define @t25 () (@list @t18))
% 0.16/0.35  (define @t26 () (tptp.c @t18))
% 0.16/0.35  (define @t27 () (or @t21 @t20 @t26))
% 0.16/0.35  (define @t28 () (not @t26))
% 0.16/0.35  (define @t29 () (or @t21 @t28))
% 0.16/0.35  (assume @p1 @t14)
% 0.16/0.35  (assume @p2 true)
% 0.16/0.35  (step @p3 :rule bool-and-de-morgan :args (@t3 @t2 true))
% 0.16/0.35  (step @p4 :rule cong :premises (@p3) :args (@t15))
% 0.16/0.35  (step @p5 :rule cong :premises (@p4) :args (@t16))
% 0.16/0.35  (step @p6 :rule exists-elim :args ((= @t6 @t16)))
% 0.16/0.35  (step @p7 :rule trans :premises (@p6 @p5))
% 0.16/0.35  (step @p8 :rule bool-impl-elim :args (@t3 @t7))
% 0.16/0.35  (step @p9 :rule cong :premises (@p8) :args (@t8))
% 0.16/0.35  (step @p10 :rule cong :premises (@p9) :args (@t9))
% 0.16/0.35  (step @p11 :rule aci_norm :args ((= (or @t17 @t10) (or @t17 @t7 @t2))))
% 0.16/0.35  (step @p12 :rule bool-impl-elim :args (@t3 @t10))
% 0.16/0.35  (step @p13 :rule trans :premises (@p12 @p11))
% 0.16/0.35  (step @p14 :rule cong :premises (@p13) :args (@t11))
% 0.16/0.35  (step @p15 :rule nary_cong :premises (@p14 @p10) :args (@t12))
% 0.16/0.35  (step @p16 :rule cong :premises (@p15 @p7) :args (@t13))
% 0.16/0.35  (step @p17 :rule cong :premises (@p16) :args (@t14))
% 0.16/0.35  (step @p18 :rule eq_resolve :premises (@p1 @p17))
% 0.16/0.35  (step @p19 :rule not_implies_elim1 :premises (@p18))
% 0.16/0.35  (step @p20 :rule and_elim :premises (@p19) :args (1))
% 0.16/0.35  (step @p21 :rule skolemize :premises (@p20))
% 0.16/0.35  (step @p22 :rule bool-double-not-elim :args (@t19))
% 0.16/0.35  (step @p23 :rule refl :args (@t22))
% 0.16/0.35  (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t22 (not @t21))))
% 0.16/0.35  (step @p25 :rule cnf_or_neg :args (@t22 0))
% 0.16/0.35  (step @p26 :rule eq_resolve :premises (@p25 @p24))
% 0.16/0.35  (step @p27 :rule reordering :premises (@p26) :args ((or @t19 @t22)))
% 0.16/0.35  (step @p28 :rule chain_m_resolution :premises (@p27 @p21) :args (@t19 @t23 @t24))
% 0.16/0.35  (step @p29 :rule not_implies_elim2 :premises (@p18))
% 0.16/0.35  (step @p30 :rule not_not_elim :premises (@p29))
% 0.16/0.35  (step @p31 :rule instantiate :premises (@p30) :args (@t25))
% 0.16/0.35  (step @p32 :rule and_elim :premises (@p19) :args (0))
% 0.16/0.35  (step @p33 :rule instantiate :premises (@p32) :args (@t25))
% 0.16/0.35  (step @p34 :rule cnf_or_neg :args (@t22 1))
% 0.16/0.35  (step @p35 :rule chain_m_resolution :premises (@p34 @p21) :args ((not @t20) @t23 @t24))
% 0.16/0.36  (step @p36 :rule cnf_or_pos :args (@t27))
% 0.16/0.36  (step @p37 :rule reordering :premises (@p36) :args ((or @t21 @t20 @t26 (not @t27))))
% 0.16/0.36  (step @p38 :rule chain_m_resolution :premises (@p37 @p28 @p35 @p33) :args (@t26 (@list false true false) (@list @t19 @t20 @t27)))
% 0.16/0.36  (step @p39 :rule cnf_or_pos :args (@t29))
% 0.16/0.36  (step @p40 :rule reordering :premises (@p39) :args ((or @t21 @t28 (not @t29))))
% 0.16/0.36  (step @p41 false :rule chain_m_resolution :premises (@p40 @p38 @p31 @p28) :args (false (@list false false false) (@list @t26 @t29 @t19)))
% 0.16/0.36  )
% 0.16/0.36  % SZS output end Proof
% 0.16/0.36  % cvc5 exiting
%------------------------------------------------------------------------------