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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWB008+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 : n008.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 08:57:04 AM UTC 2026

% Result   : Theorem 0.38s 0.55s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB008+2 : TPTP v9.2.1. Released v5.2.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.35  % Computer : n008.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Tue Jun  2 18:51:33 EDT 2026
% 0.19/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.55  % SZS status Theorem
% 0.38/0.55  % SZS output start Proof
% 0.38/0.55  (
% 0.38/0.55  (declare-sort $$unsorted 0)
% 0.38/0.55  (declare-const tptp.uri_owl_DatatypeProperty $$unsorted)
% 0.38/0.55  (declare-const tptp.uri_foaf_mbox_sha1sum $$unsorted)
% 0.38/0.55  (declare-const tptp.uri_ex_robert $$unsorted)
% 0.38/0.55  (declare-const tptp.uri_owl_InverseFunctionalProperty $$unsorted)
% 0.38/0.55  (declare-const tptp.ip (-> $$unsorted Bool))
% 0.38/0.55  (declare-const tptp.uri_ex_bob $$unsorted)
% 0.38/0.55  (declare-const tptp.uri_owl_sameAs $$unsorted)
% 0.38/0.55  (declare-const tptp.literal_plain (-> $$unsorted $$unsorted))
% 0.38/0.55  (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.38/0.55  (declare-const tptp.dat_str_xyz $$unsorted)
% 0.38/0.55  (declare-const tptp.uri_rdf_type $$unsorted)
% 0.38/0.55  (declare-const tptp.icext (-> $$unsorted $$unsorted Bool))
% 0.38/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.38/0.55  (define @t2 () (@var "C" $$unsorted))
% 0.38/0.55  (define @t3 () (@var "Y" $$unsorted))
% 0.38/0.55  (define @t4 () (@var "X2" $$unsorted))
% 0.38/0.55  (define @t5 () (@var "X1" $$unsorted))
% 0.38/0.55  (define @t6 () (= @t5 @t4))
% 0.38/0.55  (define @t7 () (@var "P" $$unsorted))
% 0.38/0.55  (define @t8 () (tptp.iext @t7 @t4 @t3))
% 0.38/0.55  (define @t9 () (tptp.iext @t7 @t5 @t3))
% 0.38/0.55  (define @t10 () (and @t9 @t8))
% 0.38/0.55  (define @t11 () (@list @t5 @t4 @t3))
% 0.38/0.55  (define @t12 () (forall @t11 (=> @t10 @t6)))
% 0.38/0.55  (define @t13 () (tptp.ip @t7))
% 0.38/0.55  (define @t14 () (and @t13 @t12))
% 0.38/0.55  (define @t15 () (tptp.icext tptp.uri_owl_InverseFunctionalProperty @t7))
% 0.38/0.55  (define @t16 () (= @t15 @t14))
% 0.38/0.55  (define @t17 () (forall (@list @t7) @t16))
% 0.38/0.55  (define @t18 () (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_bob tptp.uri_ex_robert))
% 0.38/0.55  (define @t19 () (tptp.literal_plain tptp.dat_str_xyz))
% 0.38/0.55  (define @t20 () (tptp.iext tptp.uri_foaf_mbox_sha1sum tptp.uri_ex_robert @t19))
% 0.38/0.55  (define @t21 () (tptp.iext tptp.uri_foaf_mbox_sha1sum tptp.uri_ex_bob @t19))
% 0.38/0.55  (define @t22 () (tptp.iext tptp.uri_rdf_type tptp.uri_foaf_mbox_sha1sum tptp.uri_owl_InverseFunctionalProperty))
% 0.38/0.55  (define @t23 () (not @t8))
% 0.38/0.55  (define @t24 () (not @t9))
% 0.38/0.55  (define @t25 () (tptp.icext tptp.uri_owl_InverseFunctionalProperty tptp.uri_foaf_mbox_sha1sum))
% 0.38/0.55  (define @t26 () (= @t22 @t25))
% 0.38/0.55  (define @t27 () (@list false false))
% 0.38/0.55  (define @t28 () (forall @t11 (or (not (tptp.iext tptp.uri_foaf_mbox_sha1sum @t5 @t3)) (not (tptp.iext tptp.uri_foaf_mbox_sha1sum @t4 @t3)) @t6)))
% 0.38/0.55  (define @t29 () (and (tptp.ip tptp.uri_foaf_mbox_sha1sum) @t28))
% 0.38/0.55  (define @t30 () (= @t25 @t29))
% 0.38/0.55  (define @t31 () (= tptp.uri_ex_bob tptp.uri_ex_robert))
% 0.38/0.55  (define @t32 () (= @t18 @t31))
% 0.38/0.55  (define @t33 () (not @t31))
% 0.38/0.55  (define @t34 () (@list true false))
% 0.38/0.55  (define @t35 () (not @t20))
% 0.38/0.55  (define @t36 () (not @t21))
% 0.38/0.55  (define @t37 () (or @t36 @t35 @t31))
% 0.38/0.55  (define @t38 () (not @t37))
% 0.38/0.55  (assume @p1 (forall (@list @t1 @t2) (= (tptp.iext tptp.uri_rdf_type @t1 @t2) (tptp.icext @t2 @t1))))
% 0.38/0.55  (assume @p2 (forall (@list @t1 @t3) (= (tptp.iext tptp.uri_owl_sameAs @t1 @t3) (= @t1 @t3))))
% 0.38/0.55  (assume @p3 @t17)
% 0.38/0.55  (assume @p4 (not @t18))
% 0.38/0.55  (assume @p5 (and (tptp.iext tptp.uri_rdf_type tptp.uri_foaf_mbox_sha1sum tptp.uri_owl_DatatypeProperty) @t22 @t21 @t20))
% 0.38/0.55  (assume @p6 true)
% 0.38/0.55  (step @p7 :rule aci_norm :args ((= (or (or @t24 @t23) @t6) (or @t24 @t23 @t6))))
% 0.38/0.56  (step @p8 :rule refl :args (@t6))
% 0.38/0.56  (step @p9 :rule bool-and-de-morgan :args (@t9 @t8 true))
% 0.38/0.56  (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or (not @t10) @t6)))
% 0.38/0.56  (step @p11 :rule trans :premises (@p10 @p7))
% 0.38/0.56  (step @p12 :rule bool-impl-elim :args (@t10 @t6))
% 0.38/0.56  (step @p13 :rule trans :premises (@p12 @p11))
% 0.38/0.56  (step @p14 :rule cong :premises (@p13) :args (@t12))
% 0.38/0.56  (step @p15 :rule refl :args (@t13))
% 0.38/0.56  (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t14))
% 0.38/0.56  (step @p17 :rule refl :args (@t15))
% 0.38/0.56  (step @p18 :rule cong :premises (@p17 @p16) :args (@t16))
% 0.38/0.56  (step @p19 :rule cong :premises (@p18) :args (@t17))
% 0.38/0.56  (step @p20 :rule eq_resolve :premises (@p3 @p19))
% 0.38/0.56  (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.uri_foaf_mbox_sha1sum)))
% 0.38/0.56  (step @p22 :rule instantiate :premises (@p1) :args ((@list tptp.uri_foaf_mbox_sha1sum tptp.uri_owl_InverseFunctionalProperty)))
% 0.38/0.56  (step @p23 :rule and_elim :premises (@p5) :args (1))
% 0.38/0.56  (step @p24 :rule cnf_equiv_pos1 :args (@t26))
% 0.38/0.56  (step @p25 :rule reordering :premises (@p24) :args ((or (not @t22) @t25 (not @t26))))
% 0.38/0.56  (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22) :args (@t25 @t27 (@list @t22 @t26)))
% 0.38/0.56  (step @p27 :rule cnf_equiv_pos1 :args (@t30))
% 0.38/0.56  (step @p28 :rule reordering :premises (@p27) :args ((or (not @t25) @t29 (not @t30))))
% 0.38/0.56  (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p21) :args (@t29 @t27 (@list @t25 @t30)))
% 0.38/0.56  (step @p30 :rule cnf_and_pos :args (@t29 1))
% 0.38/0.56  (step @p31 :rule reordering :premises (@p30) :args ((or @t28 (not @t29))))
% 0.38/0.56  (step @p32 :rule chain_m_resolution :premises (@p31 @p29) :args (@t28 (@list false) (@list @t29)))
% 0.38/0.56  (step @p33 :rule instantiate :premises (@p2) :args ((@list tptp.uri_ex_bob tptp.uri_ex_robert)))
% 0.38/0.56  (step @p34 :rule cnf_equiv_pos2 :args (@t32))
% 0.38/0.56  (step @p35 :rule reordering :premises (@p34) :args ((or @t18 @t33 (not @t32))))
% 0.38/0.56  (step @p36 :rule chain_m_resolution :premises (@p35 @p4 @p33) :args (@t33 @t34 (@list @t18 @t32)))
% 0.38/0.56  (step @p37 :rule and_elim :premises (@p5) :args (3))
% 0.38/0.56  (step @p38 :rule and_elim :premises (@p5) :args (2))
% 0.38/0.56  (step @p39 :rule cnf_or_pos :args (@t37))
% 0.38/0.56  (step @p40 :rule reordering :premises (@p39) :args ((or @t36 @t35 @t31 @t38)))
% 0.38/0.56  (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37 @p36) :args (@t38 (@list false false true) (@list @t21 @t20 @t31)))
% 0.38/0.56  (assume-push @p48 @t28)
% 0.38/0.56  (step @p43 :rule instantiate :premises (@p32) :args ((@list tptp.uri_ex_bob tptp.uri_ex_robert @t19)))
% 0.38/0.56  (step-pop @p49 :rule scope :premises (@p43))
% 0.38/0.56  (step @p44 :rule process_scope :premises (@p49) :args (@t37))
% 0.38/0.56  (step @p46 :rule implies_elim :premises (@p44))
% 0.38/0.56  (step @p47 false :rule chain_m_resolution :premises (@p46 @p41 @p32) :args (false @t34 (@list @t37 @t28)))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------