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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWB003+4 : 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 : n004.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 08:57:01 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB003+4 : 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 : n004.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 18:49:37 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (declare-sort $$unsorted 0)
% 0.37/0.57  (declare-const tptp.literal_plain (-> $$unsorted $$unsorted))
% 0.37/0.57  (declare-const tptp.dat_str_foo $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_ex_s $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_XMLLiteral $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_member $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_Bag $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_rest $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_subPropertyOf $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_first $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_range $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_Property $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_Datatype $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_Literal $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_Statement $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_ContainerMembershipProperty $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf__1 $$unsorted)
% 0.37/0.57  (declare-const tptp.lv (-> $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.uri_rdf_Alt $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_nil $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_isDefinedBy $$unsorted)
% 0.37/0.57  (declare-const tptp.ir (-> $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.uri_rdf_predicate $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf__2 $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_object $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf__3 $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_type $$unsorted)
% 0.37/0.57  (declare-const tptp.ip (-> $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.uri_rdf_value $$unsorted)
% 0.37/0.57  (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.uri_rdf_subject $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_Resource $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_Seq $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_comment $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_domain $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_seeAlso $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_Class $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_label $$unsorted)
% 0.37/0.57  (declare-const tptp.icext (-> $$unsorted $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.uri_rdfs_subClassOf $$unsorted)
% 0.37/0.57  (declare-const tptp.ic (-> $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.uri_ex_p $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdf_List $$unsorted)
% 0.37/0.57  (declare-const tptp.uri_rdfs_Container $$unsorted)
% 0.37/0.57  (define @t1 () (@var "P" $$unsorted))
% 0.37/0.57  (define @t2 () (tptp.ip @t1))
% 0.37/0.57  (define @t3 () (@var "O" $$unsorted))
% 0.37/0.57  (define @t4 () (@var "S" $$unsorted))
% 0.37/0.57  (define @t5 () (@var "X" $$unsorted))
% 0.37/0.57  (define @t6 () (tptp.ir @t5))
% 0.37/0.57  (define @t7 () (@list @t5))
% 0.37/0.57  (define @t8 () (tptp.lv @t5))
% 0.37/0.57  (define @t9 () (@list @t1))
% 0.37/0.57  (define @t10 () (@var "C" $$unsorted))
% 0.37/0.57  (define @t11 () (tptp.icext @t10 @t5))
% 0.37/0.57  (define @t12 () (tptp.ic @t10))
% 0.37/0.57  (define @t13 () (@list @t10))
% 0.37/0.57  (define @t14 () (@var "D" $$unsorted))
% 0.37/0.57  (define @t15 () (@var "Y" $$unsorted))
% 0.37/0.57  (define @t16 () (tptp.iext @t1 @t5 @t15))
% 0.37/0.57  (define @t17 () (@list @t1 @t10 @t5 @t15))
% 0.37/0.57  (define @t18 () (tptp.iext tptp.uri_rdfs_subClassOf @t10 @t14))
% 0.37/0.57  (define @t19 () (@var "E" $$unsorted))
% 0.37/0.57  (define @t20 () (@var "Q" $$unsorted))
% 0.37/0.57  (define @t21 () (tptp.iext tptp.uri_rdfs_subPropertyOf @t1 @t20))
% 0.37/0.57  (define @t22 () (@var "R" $$unsorted))
% 0.37/0.57  (define @t23 () (@var "BNODE_x" $$unsorted))
% 0.37/0.57  (define @t24 () (tptp.iext tptp.uri_ex_p tptp.uri_ex_s @t23))
% 0.37/0.57  (define @t25 () (@list @t23))
% 0.37/0.57  (define @t26 () (exists @t25 @t24))
% 0.37/0.57  (define @t27 () (not @t26))
% 0.37/0.57  (define @t28 () (tptp.literal_plain tptp.dat_str_foo))
% 0.37/0.57  (define @t29 () (tptp.iext tptp.uri_ex_p tptp.uri_ex_s @t28))
% 0.37/0.57  (define @t30 () (forall @t25 (not @t24)))
% 0.37/0.57  (assume @p1 (forall (@list @t4 @t1 @t3) (=> (tptp.iext @t1 @t4 @t3) @t2)))
% 0.37/0.57  (assume @p2 (forall @t7 @t6))
% 0.37/0.57  (assume @p3 (forall @t7 (=> @t8 @t6)))
% 0.37/0.57  (assume @p4 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p5 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_nil tptp.uri_rdf_List))
% 0.37/0.57  (assume @p6 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_rest tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p7 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p8 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p9 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p10 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_object tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p11 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_value tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p12 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_subject tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p13 (forall @t9 (= (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdf_Property) @t2)))
% 0.37/0.57  (assume @p14 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_type tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p15 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_comment tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p16 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_comment tptp.uri_rdfs_Literal))
% 0.37/0.57  (assume @p17 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p18 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p19 (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_seeAlso))
% 0.37/0.57  (assume @p20 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_label tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p21 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_label tptp.uri_rdfs_Literal))
% 0.37/0.57  (assume @p22 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p23 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p24 (forall (@list @t5 @t10) (= (tptp.iext tptp.uri_rdf_type @t5 @t10) @t11)))
% 0.37/0.57  (assume @p25 (forall @t13 (=> @t12 (tptp.iext tptp.uri_rdfs_subClassOf @t10 tptp.uri_rdfs_Resource))))
% 0.37/0.57  (assume @p26 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_first tptp.uri_rdf_List))
% 0.37/0.57  (assume @p27 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_first tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p28 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_rest tptp.uri_rdf_List))
% 0.37/0.57  (assume @p29 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_rest tptp.uri_rdf_List))
% 0.37/0.57  (assume @p30 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_Alt tptp.uri_rdfs_Container))
% 0.37/0.57  (assume @p31 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_Bag tptp.uri_rdfs_Container))
% 0.37/0.57  (assume @p32 (forall @t9 (=> (tptp.icext tptp.uri_rdfs_ContainerMembershipProperty @t1) (tptp.iext tptp.uri_rdfs_subPropertyOf @t1 tptp.uri_rdfs_member))))
% 0.37/0.57  (assume @p33 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_ContainerMembershipProperty tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p34 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_member tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p35 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_member tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p36 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__1 tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p37 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__2 tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p38 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__3 tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p39 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__1 tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p40 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__2 tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p41 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__3 tptp.uri_rdfs_Resource))
% 0.37/0.57  (assume @p42 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdfs_ContainerMembershipProperty))
% 0.37/0.57  (assume @p43 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdfs_ContainerMembershipProperty))
% 0.37/0.57  (assume @p44 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdfs_ContainerMembershipProperty))
% 0.37/0.57  (assume @p45 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Seq tptp.uri_rdfs_Container))
% 0.37/0.57  (assume @p46 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_XMLLiteral tptp.uri_rdfs_Literal))
% 0.37/0.57  (assume @p47 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_XMLLiteral tptp.uri_rdfs_Datatype))
% 0.37/0.57  (assume @p48 (forall (@list @t14) (=> (tptp.icext tptp.uri_rdfs_Datatype @t14) (tptp.iext tptp.uri_rdfs_subClassOf @t14 tptp.uri_rdfs_Literal))))
% 0.37/0.57  (assume @p49 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Datatype tptp.uri_rdfs_Class))
% 0.37/0.57  (assume @p50 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_domain tptp.uri_rdf_Property))
% 0.37/0.57  (assume @p51 (forall @t17 (=> (and (tptp.iext tptp.uri_rdfs_domain @t1 @t10) @t16) @t11)))
% 0.37/0.57  (assume @p52 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_domain tptp.uri_rdfs_Class))
% 0.37/0.57  (assume @p53 (forall @t7 (= (tptp.ic @t5) (tptp.icext tptp.uri_rdfs_Class @t5))))
% 0.37/0.58  (assume @p54 (forall @t7 (= @t6 (tptp.icext tptp.uri_rdfs_Resource @t5))))
% 0.37/0.58  (assume @p55 (forall @t7 (= @t8 (tptp.icext tptp.uri_rdfs_Literal @t5))))
% 0.37/0.58  (assume @p56 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_Property tptp.uri_rdfs_Class))
% 0.37/0.58  (assume @p57 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_range tptp.uri_rdf_Property))
% 0.37/0.58  (assume @p58 (forall @t17 (=> (and (tptp.iext tptp.uri_rdfs_range @t1 @t10) @t16) (tptp.icext @t10 @t15))))
% 0.37/0.58  (assume @p59 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_range tptp.uri_rdfs_Class))
% 0.37/0.58  (assume @p60 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_object tptp.uri_rdfs_Statement))
% 0.37/0.58  (assume @p61 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_predicate tptp.uri_rdfs_Resource))
% 0.37/0.58  (assume @p62 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_predicate tptp.uri_rdfs_Statement))
% 0.37/0.58  (assume @p63 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_subject tptp.uri_rdfs_Statement))
% 0.37/0.58  (assume @p64 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_subject tptp.uri_rdfs_Resource))
% 0.37/0.58  (assume @p65 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class))
% 0.37/0.58  (assume @p66 (forall (@list @t10 @t14) (=> @t18 (and @t12 (tptp.ic @t14) (forall @t7 (=> @t11 (tptp.icext @t14 @t5)))))))
% 0.37/0.58  (assume @p67 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class))
% 0.37/0.58  (assume @p68 (forall @t13 (=> @t12 (tptp.iext tptp.uri_rdfs_subClassOf @t10 @t10))))
% 0.37/0.58  (assume @p69 (forall (@list @t10 @t14 @t19) (=> (and @t18 (tptp.iext tptp.uri_rdfs_subClassOf @t14 @t19)) (tptp.iext tptp.uri_rdfs_subClassOf @t10 @t19))))
% 0.37/0.58  (assume @p70 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subPropertyOf tptp.uri_rdf_Property))
% 0.37/0.58  (assume @p71 (forall (@list @t1 @t20) (=> @t21 (and @t2 (tptp.ip @t20) (forall (@list @t5 @t15) (=> @t16 (tptp.iext @t20 @t5 @t15)))))))
% 0.37/0.58  (assume @p72 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_subPropertyOf tptp.uri_rdf_Property))
% 0.37/0.58  (assume @p73 (forall @t9 (=> @t2 (tptp.iext tptp.uri_rdfs_subPropertyOf @t1 @t1))))
% 0.37/0.58  (assume @p74 (forall (@list @t1 @t20 @t22) (=> (and @t21 (tptp.iext tptp.uri_rdfs_subPropertyOf @t20 @t22)) (tptp.iext tptp.uri_rdfs_subPropertyOf @t1 @t22))))
% 0.37/0.58  (assume @p75 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_type tptp.uri_rdfs_Resource))
% 0.37/0.58  (assume @p76 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_type tptp.uri_rdfs_Class))
% 0.37/0.58  (assume @p77 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_value tptp.uri_rdfs_Resource))
% 0.37/0.58  (assume @p78 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_value tptp.uri_rdfs_Resource))
% 0.37/0.58  (assume @p79 @t27)
% 0.37/0.58  (assume @p80 @t29)
% 0.37/0.58  (assume @p81 true)
% 0.37/0.58  (step @p82 :rule bool-double-not-elim :args (@t30))
% 0.37/0.58  (step @p83 :rule exists-elim :args ((= @t26 (not @t30))))
% 0.37/0.58  (step @p84 :rule cong :premises (@p83) :args (@t27))
% 0.37/0.58  (step @p85 :rule trans :premises (@p84 @p82))
% 0.37/0.58  (step @p86 :rule eq_resolve :premises (@p79 @p85))
% 0.37/0.58  (assume-push @p93 @t30)
% 0.37/0.58  (step @p88 :rule instantiate :premises (@p86) :args ((@list @t28)))
% 0.37/0.58  (step-pop @p94 :rule scope :premises (@p88))
% 0.37/0.58  (step @p89 :rule process_scope :premises (@p94) :args ((not @t29)))
% 0.37/0.58  (step @p91 :rule implies_elim :premises (@p89))
% 0.37/0.58  (step @p92 false :rule chain_m_resolution :premises (@p91 @p80 @p86) :args (false (@list false false) (@list @t29 @t30)))
% 0.37/0.58  )
% 0.37/0.58  % SZS output end Proof
% 0.37/0.58  % cvc5 exiting
%------------------------------------------------------------------------------