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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWB032+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 : n005.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 08:57:15 AM UTC 2026

% Result   : Theorem 0.35s 0.55s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB032+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
% 0.17/0.34  % Computer : n005.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 18:58:03 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.55  % SZS status Theorem
% 0.35/0.55  % SZS output start Proof
% 0.35/0.55  (
% 0.35/0.55  (declare-sort $$unsorted 0)
% 0.35/0.55  (declare-const tptp.uri_owl_disjointWith $$unsorted)
% 0.35/0.55  (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.35/0.55  (declare-const tptp.uri_rdfs_subClassOf $$unsorted)
% 0.35/0.55  (declare-const tptp.ic (-> $$unsorted Bool))
% 0.35/0.55  (declare-const tptp.uri_owl_rational $$unsorted)
% 0.35/0.55  (declare-const tptp.icext (-> $$unsorted $$unsorted Bool))
% 0.35/0.55  (declare-const tptp.uri_owl_real $$unsorted)
% 0.35/0.55  (declare-const tptp.uri_xsd_decimal $$unsorted)
% 0.35/0.55  (declare-const tptp.uri_rdf_PlainLiteral $$unsorted)
% 0.35/0.55  (declare-const tptp.idc (-> $$unsorted Bool))
% 0.35/0.55  (declare-const tptp.uri_xsd_integer $$unsorted)
% 0.35/0.55  (declare-const tptp.uri_xsd_string $$unsorted)
% 0.35/0.55  (define @t1 () (tptp.idc tptp.uri_xsd_string))
% 0.35/0.55  (define @t2 () (tptp.idc tptp.uri_xsd_decimal))
% 0.35/0.55  (define @t3 () (tptp.idc tptp.uri_xsd_integer))
% 0.35/0.55  (define @t4 () (@var "X" $$unsorted))
% 0.35/0.55  (define @t5 () (tptp.icext tptp.uri_owl_real @t4))
% 0.35/0.55  (define @t6 () (tptp.icext tptp.uri_rdf_PlainLiteral @t4))
% 0.35/0.55  (define @t7 () (@list @t4))
% 0.35/0.55  (define @t8 () (forall @t7 (not (and @t6 @t5))))
% 0.35/0.55  (define @t9 () (tptp.icext tptp.uri_xsd_string @t4))
% 0.35/0.55  (define @t10 () (forall @t7 (=> @t9 @t6)))
% 0.35/0.55  (define @t11 () (tptp.icext tptp.uri_owl_rational @t4))
% 0.35/0.55  (define @t12 () (forall @t7 (=> @t11 @t5)))
% 0.35/0.55  (define @t13 () (tptp.icext tptp.uri_xsd_decimal @t4))
% 0.35/0.55  (define @t14 () (forall @t7 (=> @t13 @t11)))
% 0.35/0.55  (define @t15 () (tptp.icext tptp.uri_xsd_integer @t4))
% 0.35/0.55  (define @t16 () (forall @t7 (=> @t15 @t13)))
% 0.35/0.55  (define @t17 () (tptp.ic @t4))
% 0.35/0.55  (define @t18 () (tptp.idc @t4))
% 0.35/0.55  (define @t19 () (forall @t7 (=> @t18 @t17)))
% 0.35/0.55  (define @t20 () (@var "C2" $$unsorted))
% 0.35/0.55  (define @t21 () (tptp.icext @t20 @t4))
% 0.35/0.55  (define @t22 () (@var "C1" $$unsorted))
% 0.35/0.55  (define @t23 () (tptp.icext @t22 @t4))
% 0.35/0.55  (define @t24 () (forall @t7 (=> @t23 @t21)))
% 0.35/0.55  (define @t25 () (tptp.ic @t20))
% 0.35/0.55  (define @t26 () (tptp.ic @t22))
% 0.35/0.55  (define @t27 () (and @t26 @t25 @t24))
% 0.35/0.55  (define @t28 () (tptp.iext tptp.uri_rdfs_subClassOf @t22 @t20))
% 0.35/0.55  (define @t29 () (= @t28 @t27))
% 0.35/0.55  (define @t30 () (@list @t22 @t20))
% 0.35/0.55  (define @t31 () (forall @t30 @t29))
% 0.35/0.55  (define @t32 () (forall @t7 (not (and @t23 @t21))))
% 0.35/0.55  (define @t33 () (and @t26 @t25 @t32))
% 0.35/0.55  (define @t34 () (tptp.iext tptp.uri_owl_disjointWith @t22 @t20))
% 0.35/0.55  (define @t35 () (= @t34 @t33))
% 0.35/0.55  (define @t36 () (forall @t30 @t35))
% 0.35/0.55  (define @t37 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_xsd_integer tptp.uri_xsd_decimal))
% 0.35/0.55  (define @t38 () (tptp.iext tptp.uri_owl_disjointWith tptp.uri_xsd_decimal tptp.uri_xsd_string))
% 0.35/0.55  (define @t39 () (forall @t7 (or (not @t13) (not @t9))))
% 0.35/0.55  (define @t40 () (@quantifiers_skolemize @t39 0))
% 0.35/0.55  (define @t41 () (@list @t40))
% 0.35/0.55  (define @t42 () (tptp.ic tptp.uri_xsd_decimal))
% 0.35/0.55  (define @t43 () (not @t2))
% 0.35/0.55  (define @t44 () (or @t43 @t42))
% 0.35/0.55  (define @t45 () (@list false false))
% 0.35/0.55  (define @t46 () (tptp.ic tptp.uri_xsd_string))
% 0.35/0.55  (define @t47 () (not @t1))
% 0.35/0.55  (define @t48 () (or @t47 @t46))
% 0.35/0.55  (define @t49 () (tptp.ic tptp.uri_xsd_integer))
% 0.35/0.55  (define @t50 () (not @t3))
% 0.35/0.55  (define @t51 () (or @t50 @t49))
% 0.35/0.55  (define @t52 () (forall @t7 (or (not @t15) @t13)))
% 0.35/0.55  (define @t53 () (and @t49 @t42 @t52))
% 0.35/0.55  (define @t54 () (not @t42))
% 0.35/0.55  (define @t55 () (= @t37 @t53))
% 0.35/0.55  (define @t56 () (and @t42 @t46 @t39))
% 0.35/0.55  (define @t57 () (= @t38 @t56))
% 0.35/0.55  (define @t58 () (not @t56))
% 0.35/0.55  (define @t59 () (not @t39))
% 0.35/0.55  (define @t60 () (@list true false false))
% 0.35/0.55  (define @t61 () (tptp.icext tptp.uri_xsd_decimal @t40))
% 0.35/0.55  (define @t62 () (tptp.icext tptp.uri_xsd_string @t40))
% 0.35/0.55  (define @t63 () (not @t62))
% 0.35/0.55  (define @t64 () (not @t61))
% 0.35/0.55  (define @t65 () (or @t64 @t63))
% 0.35/0.55  (define @t66 () (@list true))
% 0.35/0.55  (define @t67 () (@list @t65))
% 0.35/0.55  (define @t68 () (tptp.icext tptp.uri_owl_rational @t40))
% 0.35/0.55  (define @t69 () (or @t64 @t68))
% 0.35/0.55  (define @t70 () (tptp.icext tptp.uri_rdf_PlainLiteral @t40))
% 0.35/0.55  (define @t71 () (or @t63 @t70))
% 0.35/0.55  (define @t72 () (tptp.icext tptp.uri_owl_real @t40))
% 0.35/0.55  (define @t73 () (not @t72))
% 0.35/0.55  (define @t74 () (not @t70))
% 0.35/0.55  (define @t75 () (or @t74 @t73))
% 0.35/0.55  (define @t76 () (not @t68))
% 0.35/0.55  (define @t77 () (or @t76 @t72))
% 0.35/0.55  (assume @p1 @t1)
% 0.35/0.55  (assume @p2 @t2)
% 0.35/0.55  (assume @p3 @t3)
% 0.35/0.55  (assume @p4 @t8)
% 0.35/0.55  (assume @p5 @t10)
% 0.35/0.55  (assume @p6 @t12)
% 0.35/0.55  (assume @p7 @t14)
% 0.35/0.55  (assume @p8 @t16)
% 0.35/0.55  (assume @p9 @t19)
% 0.35/0.55  (assume @p10 @t31)
% 0.35/0.55  (assume @p11 @t36)
% 0.35/0.55  (assume @p12 (not (and @t38 @t37)))
% 0.35/0.55  (assume @p13 true)
% 0.35/0.55  (step @p14 :rule bool-impl-elim :args (@t13 @t11))
% 0.35/0.55  (step @p15 :rule cong :premises (@p14) :args (@t14))
% 0.35/0.55  (step @p16 :rule eq_resolve :premises (@p7 @p15))
% 0.35/0.55  (step @p17 :rule instantiate :premises (@p16) :args (@t41))
% 0.35/0.55  (step @p18 :rule bool-impl-elim :args (@t18 @t17))
% 0.35/0.55  (step @p19 :rule cong :premises (@p18) :args (@t19))
% 0.35/0.55  (step @p20 :rule eq_resolve :premises (@p9 @p19))
% 0.35/0.55  (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.uri_xsd_decimal)))
% 0.35/0.55  (step @p22 :rule cnf_or_pos :args (@t44))
% 0.35/0.55  (step @p23 :rule reordering :premises (@p22) :args ((or @t43 @t42 (not @t44))))
% 0.35/0.55  (step @p24 :rule chain_m_resolution :premises (@p23 @p2 @p21) :args (@t42 @t45 (@list @t2 @t44)))
% 0.35/0.55  (step @p25 :rule instantiate :premises (@p20) :args ((@list tptp.uri_xsd_string)))
% 0.35/0.55  (step @p26 :rule cnf_or_pos :args (@t48))
% 0.35/0.55  (step @p27 :rule reordering :premises (@p26) :args ((or @t47 @t46 (not @t48))))
% 0.35/0.55  (step @p28 :rule chain_m_resolution :premises (@p27 @p1 @p25) :args (@t46 @t45 (@list @t1 @t48)))
% 0.35/0.55  (step @p29 :rule bool-and-de-morgan :args (@t23 @t21 true))
% 0.35/0.55  (step @p30 :rule cong :premises (@p29) :args (@t32))
% 0.35/0.55  (step @p31 :rule refl :args (@t25))
% 0.35/0.55  (step @p32 :rule refl :args (@t26))
% 0.35/0.55  (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t33))
% 0.35/0.55  (step @p34 :rule refl :args (@t34))
% 0.35/0.55  (step @p35 :rule cong :premises (@p34 @p33) :args (@t35))
% 0.35/0.55  (step @p36 :rule cong :premises (@p35) :args (@t36))
% 0.35/0.55  (step @p37 :rule eq_resolve :premises (@p11 @p36))
% 0.35/0.55  (step @p38 :rule instantiate :premises (@p37) :args ((@list tptp.uri_xsd_decimal tptp.uri_xsd_string)))
% 0.35/0.55  (step @p39 :rule bool-impl-elim :args (@t23 @t21))
% 0.35/0.55  (step @p40 :rule cong :premises (@p39) :args (@t24))
% 0.35/0.55  (step @p41 :rule nary_cong :premises (@p32 @p31 @p40) :args (@t27))
% 0.35/0.55  (step @p42 :rule refl :args (@t28))
% 0.35/0.55  (step @p43 :rule cong :premises (@p42 @p41) :args (@t29))
% 0.35/0.55  (step @p44 :rule cong :premises (@p43) :args (@t31))
% 0.35/0.55  (step @p45 :rule eq_resolve :premises (@p10 @p44))
% 0.35/0.55  (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.uri_xsd_integer tptp.uri_xsd_decimal)))
% 0.35/0.55  (step @p47 :rule instantiate :premises (@p20) :args ((@list tptp.uri_xsd_integer)))
% 0.35/0.55  (step @p48 :rule cnf_or_pos :args (@t51))
% 0.35/0.55  (step @p49 :rule reordering :premises (@p48) :args ((or @t50 @t49 (not @t51))))
% 0.35/0.55  (step @p50 :rule chain_m_resolution :premises (@p49 @p3 @p47) :args (@t49 @t45 (@list @t3 @t51)))
% 0.35/0.55  (step @p51 :rule bool-impl-elim :args (@t15 @t13))
% 0.35/0.55  (step @p52 :rule cong :premises (@p51) :args (@t16))
% 0.35/0.55  (step @p53 :rule eq_resolve :premises (@p8 @p52))
% 0.35/0.55  (step @p54 :rule cnf_and_neg :args (@t53))
% 0.35/0.55  (step @p55 :rule reordering :premises (@p54) :args ((or (not @t52) @t53 @t54 (not @t49))))
% 0.35/0.55  (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p24 @p50) :args (@t53 (@list false false false) (@list @t52 @t42 @t49)))
% 0.35/0.55  (step @p57 :rule cnf_equiv_pos2 :args (@t55))
% 0.35/0.55  (step @p58 :rule reordering :premises (@p57) :args ((or @t37 (not @t53) (not @t55))))
% 0.35/0.55  (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p46) :args (@t37 @t45 (@list @t53 @t55)))
% 0.35/0.55  (step @p60 :rule not_and :premises (@p12))
% 0.35/0.55  (step @p61 :rule chain_m_resolution :premises (@p60 @p59) :args ((not @t38) (@list false) (@list @t37)))
% 0.35/0.55  (step @p62 :rule cnf_equiv_pos2 :args (@t57))
% 0.35/0.55  (step @p63 :rule reordering :premises (@p62) :args ((or @t38 @t58 (not @t57))))
% 0.35/0.55  (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p38) :args (@t58 (@list true false) (@list @t38 @t57)))
% 0.35/0.55  (step @p65 :rule cnf_and_neg :args (@t56))
% 0.35/0.55  (step @p66 :rule reordering :premises (@p65) :args ((or @t56 (not @t46) @t54 @t59)))
% 0.35/0.55  (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p28 @p24) :args (@t59 @t60 (@list @t56 @t46 @t42)))
% 0.35/0.55  (step @p68 :rule skolemize :premises (@p67))
% 0.35/0.55  (step @p69 :rule bool-double-not-elim :args (@t61))
% 0.35/0.55  (step @p70 :rule refl :args (@t65))
% 0.35/0.55  (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t65 (not @t64))))
% 0.35/0.55  (step @p72 :rule cnf_or_neg :args (@t65 0))
% 0.35/0.55  (step @p73 :rule eq_resolve :premises (@p72 @p71))
% 0.35/0.55  (step @p74 :rule reordering :premises (@p73) :args ((or @t61 @t65)))
% 0.35/0.55  (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t61 @t66 @t67))
% 0.35/0.55  (step @p76 :rule cnf_or_pos :args (@t69))
% 0.35/0.55  (step @p77 :rule reordering :premises (@p76) :args ((or @t64 @t68 (not @t69))))
% 0.35/0.55  (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p17) :args (@t68 @t45 (@list @t61 @t69)))
% 0.35/0.55  (step @p79 :rule bool-impl-elim :args (@t11 @t5))
% 0.35/0.55  (step @p80 :rule cong :premises (@p79) :args (@t12))
% 0.35/0.55  (step @p81 :rule eq_resolve :premises (@p6 @p80))
% 0.35/0.55  (step @p82 :rule instantiate :premises (@p81) :args (@t41))
% 0.35/0.55  (step @p83 :rule bool-and-de-morgan :args (@t6 @t5 true))
% 0.35/0.55  (step @p84 :rule cong :premises (@p83) :args (@t8))
% 0.35/0.55  (step @p85 :rule eq_resolve :premises (@p4 @p84))
% 0.35/0.55  (step @p86 :rule instantiate :premises (@p85) :args (@t41))
% 0.35/0.55  (step @p87 :rule bool-impl-elim :args (@t9 @t6))
% 0.35/0.55  (step @p88 :rule cong :premises (@p87) :args (@t10))
% 0.35/0.55  (step @p89 :rule eq_resolve :premises (@p5 @p88))
% 0.35/0.55  (step @p90 :rule instantiate :premises (@p89) :args (@t41))
% 0.35/0.55  (step @p91 :rule bool-double-not-elim :args (@t62))
% 0.35/0.56  (step @p92 :rule nary_cong :premises (@p70 @p91) :args ((or @t65 (not @t63))))
% 0.35/0.56  (step @p93 :rule cnf_or_neg :args (@t65 1))
% 0.35/0.56  (step @p94 :rule eq_resolve :premises (@p93 @p92))
% 0.35/0.56  (step @p95 :rule reordering :premises (@p94) :args ((or @t62 @t65)))
% 0.35/0.56  (step @p96 :rule chain_m_resolution :premises (@p95 @p68) :args (@t62 @t66 @t67))
% 0.35/0.56  (step @p97 :rule cnf_or_pos :args (@t71))
% 0.35/0.56  (step @p98 :rule reordering :premises (@p97) :args ((or @t63 @t70 (not @t71))))
% 0.35/0.56  (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p90) :args (@t70 @t45 (@list @t62 @t71)))
% 0.35/0.56  (step @p100 :rule cnf_or_pos :args (@t75))
% 0.35/0.56  (step @p101 :rule reordering :premises (@p100) :args ((or @t74 @t73 (not @t75))))
% 0.35/0.56  (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p86) :args (@t73 @t45 (@list @t70 @t75)))
% 0.35/0.56  (step @p103 :rule cnf_or_pos :args (@t77))
% 0.35/0.56  (step @p104 :rule reordering :premises (@p103) :args ((or @t76 @t72 (not @t77))))
% 0.35/0.56  (step @p105 false :rule chain_m_resolution :premises (@p104 @p102 @p82 @p78) :args (false @t60 (@list @t72 @t77 @t68)))
% 0.35/0.56  )
% 0.35/0.56  % SZS output end Proof
% 0.35/0.56  % cvc5 exiting
%------------------------------------------------------------------------------