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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWB018+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n023.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 08:57:09 AM UTC 2026

% Result   : Theorem 0.31s 0.55s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB018+2 : TPTP v9.2.1. Released v5.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n023.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 18:54:13 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.31/0.55  % SZS status Theorem
% 0.31/0.55  % SZS output start Proof
% 0.31/0.55  (
% 0.31/0.55  (declare-sort $$unsorted 0)
% 0.31/0.55  (declare-const tptp.uri_ex_u $$unsorted)
% 0.31/0.55  (declare-const tptp.uri_ex_Person $$unsorted)
% 0.31/0.55  (declare-const tptp.uri_owl_sameAs $$unsorted)
% 0.31/0.55  (declare-const tptp.uri_rdfs_domain $$unsorted)
% 0.31/0.55  (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.uri_ex_w $$unsorted)
% 0.31/0.55  (declare-const tptp.uri_rdf_type $$unsorted)
% 0.31/0.55  (declare-const tptp.icext (-> $$unsorted $$unsorted Bool))
% 0.31/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.31/0.55  (define @t2 () (@var "C" $$unsorted))
% 0.31/0.55  (define @t3 () (tptp.icext @t2 @t1))
% 0.31/0.55  (define @t4 () (@var "Y" $$unsorted))
% 0.31/0.55  (define @t5 () (@var "P" $$unsorted))
% 0.31/0.55  (define @t6 () (tptp.iext @t5 @t1 @t4))
% 0.31/0.55  (define @t7 () (tptp.iext tptp.uri_rdfs_domain @t5 @t2))
% 0.31/0.55  (define @t8 () (and @t7 @t6))
% 0.31/0.55  (define @t9 () (forall (@list @t5 @t2 @t1 @t4) (=> @t8 @t3)))
% 0.31/0.55  (define @t10 () (forall (@list @t1 @t4) (= (tptp.iext tptp.uri_owl_sameAs @t1 @t4) (= @t1 @t4))))
% 0.31/0.55  (define @t11 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_u tptp.uri_ex_Person))
% 0.31/0.55  (define @t12 () (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_w tptp.uri_ex_u))
% 0.31/0.55  (define @t13 () (tptp.iext tptp.uri_rdfs_domain tptp.uri_owl_sameAs tptp.uri_ex_Person))
% 0.31/0.55  (define @t14 () (tptp.icext tptp.uri_ex_Person tptp.uri_ex_u))
% 0.31/0.55  (define @t15 () (= @t11 @t14))
% 0.31/0.55  (define @t16 () (not @t14))
% 0.31/0.55  (define @t17 () (= @t12 (= tptp.uri_ex_w tptp.uri_ex_u)))
% 0.31/0.55  (define @t18 () (= tptp.uri_ex_u tptp.uri_ex_w))
% 0.31/0.55  (define @t19 () (= @t12 @t18))
% 0.31/0.55  (define @t20 () (not @t12))
% 0.31/0.55  (define @t21 () (tptp.icext tptp.uri_ex_Person tptp.uri_ex_w))
% 0.31/0.55  (define @t22 () (not @t6))
% 0.31/0.55  (define @t23 () (not @t7))
% 0.31/0.55  (define @t24 () (not @t13))
% 0.31/0.55  (define @t25 () (or @t24 @t20 @t21))
% 0.31/0.55  (assume @p1 (forall (@list @t1 @t2) (= (tptp.iext tptp.uri_rdf_type @t1 @t2) @t3)))
% 0.31/0.55  (assume @p2 @t9)
% 0.31/0.55  (assume @p3 @t10)
% 0.31/0.55  (assume @p4 (not @t11))
% 0.31/0.55  (assume @p5 (and @t13 @t12))
% 0.31/0.55  (assume @p6 true)
% 0.31/0.55  (step @p7 :rule evaluate :args ((= true false)))
% 0.31/0.55  (step @p8 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_u tptp.uri_ex_Person)))
% 0.31/0.55  (step @p9 :rule cnf_equiv_pos2 :args (@t15))
% 0.31/0.55  (step @p10 :rule reordering :premises (@p9) :args ((or @t11 @t16 (not @t15))))
% 0.31/0.55  (step @p11 :rule chain_m_resolution :premises (@p10 @p4 @p8) :args (@t16 (@list true false) (@list @t11 @t15)))
% 0.31/0.55  (step @p12 :rule false_intro :premises (@p11))
% 0.31/0.55  (step @p13 :rule eq-symm :args (tptp.uri_ex_w tptp.uri_ex_u))
% 0.31/0.55  (step @p14 :rule refl :args (@t12))
% 0.31/0.55  (step @p15 :rule cong :premises (@p14 @p13) :args (@t17))
% 0.31/0.55  (step @p16 :rule refl :args (@t10))
% 0.31/0.55  (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t10 @t17)))
% 0.31/0.55  (assume-push @p50 @t10)
% 0.31/0.55  (step @p19 :rule instantiate :premises (@p3) :args ((@list tptp.uri_ex_w tptp.uri_ex_u)))
% 0.31/0.55  (step-pop @p51 :rule scope :premises (@p19))
% 0.31/0.55  (step @p20 :rule process_scope :premises (@p51) :args (@t17))
% 0.31/0.55  (step @p22 :rule eq_resolve :premises (@p20 @p17))
% 0.31/0.55  (step @p23 :rule implies_elim :premises (@p22))
% 0.31/0.55  (step @p24 :rule chain_m_resolution :premises (@p23 @p3) :args (@t19 (@list false) (@list @t10)))
% 0.31/0.55  (step @p25 :rule and_elim :premises (@p5) :args (1))
% 0.31/0.55  (step @p26 :rule cnf_equiv_pos1 :args (@t19))
% 0.31/0.55  (step @p27 :rule reordering :premises (@p26) :args ((or @t20 @t18 (not @t19))))
% 0.31/0.55  (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p24) :args (@t18 (@list false false) (@list @t12 @t19)))
% 0.31/0.55  (step @p29 :rule symm :premises (@p28))
% 0.31/0.55  (step @p30 :rule refl :args (tptp.uri_ex_Person))
% 0.31/0.55  (step @p31 :rule cong :premises (@p30 @p29) :args (@t21))
% 0.31/0.55  (step @p32 :rule aci_norm :args ((= (or (or @t23 @t22) @t3) (or @t23 @t22 @t3))))
% 0.31/0.55  (step @p33 :rule refl :args (@t3))
% 0.31/0.55  (step @p34 :rule bool-and-de-morgan :args (@t7 @t6 true))
% 0.31/0.55  (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t8) @t3)))
% 0.31/0.55  (step @p36 :rule trans :premises (@p35 @p32))
% 0.31/0.55  (step @p37 :rule bool-impl-elim :args (@t8 @t3))
% 0.31/0.55  (step @p38 :rule trans :premises (@p37 @p36))
% 0.31/0.55  (step @p39 :rule cong :premises (@p38) :args (@t9))
% 0.31/0.55  (step @p40 :rule eq_resolve :premises (@p2 @p39))
% 0.31/0.55  (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.uri_owl_sameAs tptp.uri_ex_Person tptp.uri_ex_w tptp.uri_ex_u)))
% 0.31/0.55  (step @p42 :rule and_elim :premises (@p5) :args (0))
% 0.31/0.55  (step @p43 :rule cnf_or_pos :args (@t25))
% 0.31/0.55  (step @p44 :rule reordering :premises (@p43) :args ((or @t24 @t20 @t21 (not @t25))))
% 0.31/0.55  (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p25 @p41) :args (@t21 (@list false false false) (@list @t13 @t12 @t25)))
% 0.31/0.55  (step @p46 :rule true_intro :premises (@p45))
% 0.31/0.55  (step @p47 :rule symm :premises (@p46))
% 0.31/0.55  (step @p48 :rule trans :premises (@p47 @p31 @p12))
% 0.31/0.55  (step @p49 false :rule eq_resolve :premises (@p48 @p7))
% 0.31/0.55  )
% 0.31/0.55  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------