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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU150+3 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 08:50:44 AM UTC 2026

% Result   : Theorem 0.39s 0.59s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : SEU150+3 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.15  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.36  % Computer : n011.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Tue Jun  2 16:32:20 EDT 2026
% 0.17/0.36  % CPUTime  : 
% 0.31/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.39/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.39/0.59  % SZS status Theorem
% 0.39/0.59  % SZS output start Proof
% 0.39/0.59  (
% 0.39/0.59  (declare-sort $$unsorted 0)
% 0.39/0.59  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.39/0.59  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.39/0.59  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.59  (define @t1 () (@var "A" $$unsorted))
% 0.39/0.59  (define @t2 () (@var "B" $$unsorted))
% 0.39/0.59  (define @t3 () (tptp.empty @t1))
% 0.39/0.59  (define @t4 () (@list @t1))
% 0.39/0.59  (define @t5 () (= @t1 @t2))
% 0.39/0.59  (define @t6 () (@var "C" $$unsorted))
% 0.39/0.59  (define @t7 () (= (tptp.singleton @t1) (tptp.unordered_pair @t2 @t6)))
% 0.39/0.59  (define @t8 () (@list @t1 @t2 @t6))
% 0.39/0.59  (define @t9 () (forall @t8 (=> @t7 @t5)))
% 0.39/0.59  (define @t10 () (= @t2 @t6))
% 0.39/0.59  (define @t11 () (forall @t8 (=> @t7 @t10)))
% 0.39/0.59  (define @t12 () (not @t11))
% 0.39/0.59  (define @t13 () (not @t7))
% 0.39/0.59  (define @t14 () (forall @t8 (or @t13 @t10)))
% 0.39/0.59  (define @t15 () (@quantifiers_skolemize @t14 2))
% 0.39/0.59  (define @t16 () (@quantifiers_skolemize @t14 1))
% 0.39/0.59  (define @t17 () (= @t16 @t15))
% 0.39/0.59  (define @t18 () (@quantifiers_skolemize @t14 0))
% 0.39/0.59  (define @t19 () (tptp.singleton @t18))
% 0.39/0.59  (define @t20 () (= @t19 (tptp.unordered_pair @t16 @t15)))
% 0.39/0.59  (define @t21 () (not @t20))
% 0.39/0.59  (define @t22 () (or @t21 @t17))
% 0.39/0.59  (define @t23 () (@list true))
% 0.39/0.59  (define @t24 () (@list @t22))
% 0.39/0.59  (define @t25 () (= @t18 @t16))
% 0.39/0.59  (define @t26 () (or @t21 @t25))
% 0.39/0.59  (define @t27 () (= @t18 @t15))
% 0.39/0.59  (define @t28 () (= @t19 (tptp.unordered_pair @t15 @t16)))
% 0.39/0.59  (define @t29 () (not @t28))
% 0.39/0.59  (define @t30 () (or @t29 @t27))
% 0.39/0.59  (define @t31 () (not @t30))
% 0.39/0.59  (define @t32 () (forall @t8 (or @t13 @t5)))
% 0.39/0.59  (assume @p1 (forall (@list @t1 @t2) (= (tptp.unordered_pair @t1 @t2) (tptp.unordered_pair @t2 @t1))))
% 0.39/0.59  (assume @p2 (exists @t4 @t3))
% 0.39/0.59  (assume @p3 (exists @t4 (not @t3)))
% 0.39/0.59  (assume @p4 @t9)
% 0.39/0.59  (assume @p5 @t12)
% 0.39/0.59  (assume @p6 true)
% 0.39/0.59  (step @p7 :rule bool-impl-elim :args (@t7 @t5))
% 0.39/0.59  (step @p8 :rule cong :premises (@p7) :args (@t9))
% 0.39/0.59  (step @p9 :rule eq_resolve :premises (@p4 @p8))
% 0.39/0.59  (step @p10 :rule bool-impl-elim :args (@t7 @t10))
% 0.39/0.59  (step @p11 :rule cong :premises (@p10) :args (@t11))
% 0.39/0.59  (step @p12 :rule cong :premises (@p11) :args (@t12))
% 0.39/0.59  (step @p13 :rule eq_resolve :premises (@p5 @p12))
% 0.39/0.59  (step @p14 :rule skolemize :premises (@p13))
% 0.39/0.59  (step @p15 :rule cnf_or_neg :args (@t22 1))
% 0.39/0.59  (step @p16 :rule chain_m_resolution :premises (@p15 @p14) :args ((not @t17) @t23 @t24))
% 0.39/0.59  (step @p17 :rule false_intro :premises (@p16))
% 0.39/0.59  (step @p18 :rule refl :args (@t15))
% 0.39/0.59  (step @p19 :rule instantiate :premises (@p9) :args ((@list @t18 @t16 @t15)))
% 0.39/0.59  (step @p20 :rule bool-double-not-elim :args (@t20))
% 0.39/0.59  (step @p21 :rule refl :args (@t22))
% 0.39/0.59  (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t22 (not @t21))))
% 0.39/0.59  (step @p23 :rule cnf_or_neg :args (@t22 0))
% 0.39/0.59  (step @p24 :rule eq_resolve :premises (@p23 @p22))
% 0.39/0.59  (step @p25 :rule reordering :premises (@p24) :args ((or @t20 @t22)))
% 0.39/0.59  (step @p26 :rule chain_m_resolution :premises (@p25 @p14) :args (@t20 @t23 @t24))
% 0.39/0.59  (step @p27 :rule cnf_or_pos :args (@t26))
% 0.39/0.59  (step @p28 :rule reordering :premises (@p27) :args ((or @t21 @t25 (not @t26))))
% 0.39/0.59  (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p19) :args (@t25 (@list false false) (@list @t20 @t26)))
% 0.39/0.59  (step @p30 :rule cong :premises (@p29 @p18) :args (@t27))
% 0.39/0.59  (step @p31 :rule trans :premises (@p30 @p17))
% 0.39/0.59  (step @p32 :rule false_elim :premises (@p31))
% 0.39/0.59  (step @p33 :rule instantiate :premises (@p1) :args ((@list @t16 @t15)))
% 0.39/0.59  (step @p34 :rule trans :premises (@p26 @p33))
% 0.39/0.59  (step @p35 :rule cnf_or_pos :args (@t30))
% 0.39/0.59  (step @p36 :rule reordering :premises (@p35) :args ((or @t29 @t27 @t31)))
% 0.39/0.59  (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p32) :args (@t31 (@list false true) (@list @t28 @t27)))
% 0.39/0.59  (assume-push @p44 @t32)
% 0.39/0.59  (step @p39 :rule instantiate :premises (@p9) :args ((@list @t18 @t15 @t16)))
% 0.39/0.59  (step-pop @p45 :rule scope :premises (@p39))
% 0.39/0.59  (step @p40 :rule process_scope :premises (@p45) :args (@t30))
% 0.39/0.59  (step @p42 :rule implies_elim :premises (@p40))
% 0.39/0.59  (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p9) :args (false (@list true false) (@list @t30 @t32)))
% 0.39/0.59  )
% 0.39/0.59  % SZS output end Proof
% 0.39/0.59  % cvc5 exiting
%------------------------------------------------------------------------------