%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:00:55 AM UTC 2026
% Result : Theorem 277.33s 277.69s
% Output : Proof 280.41s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X),
file('theBenchmark.p',simple_ir) ).
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(owl_prop_sourceindividual_ext,axiom,
! [X,Y] :
( iext(uri_owl_sourceIndividual,X,Y)
=> ( ir(Y)
& icext(uri_owl_NegativePropertyAssertion,X) ) ),
file('theBenchmark.p',owl_prop_sourceindividual_ext) ).
fof(owl_prop_onproperty_ext,axiom,
! [X,Y] :
( iext(uri_owl_onProperty,X,Y)
=> ( ip(Y)
& icext(uri_owl_Restriction,X) ) ),
file('theBenchmark.p',owl_prop_onproperty_ext) ).
fof(owl_bool_complementof_class,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('theBenchmark.p',owl_bool_complementof_class) ).
fof(owl_enum_class_001,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) ) ),
file('theBenchmark.p',owl_enum_class_001) ).
fof(owl_restrict_allvaluesfrom,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_allValuesFrom,Z,C) )
=> ! [X] :
( icext(Z,X)
<=> ! [Y] :
( iext(P,X,Y)
=> icext(C,Y) ) ) ),
file('theBenchmark.p',owl_restrict_allvaluesfrom) ).
fof(owl_npa_object_fi,axiom,
! [P,A1,A2] :
( ( ~ iext(P,A1,A2)
& ir(A2)
& ip(P)
& ir(A1) )
=> ? [Z] :
( iext(uri_owl_targetIndividual,Z,A2)
& iext(uri_owl_assertionProperty,Z,P)
& iext(uri_owl_sourceIndividual,Z,A1) ) ),
file('theBenchmark.p',owl_npa_object_fi) ).
fof(testcase_conclusion_fullish_010_Negative_Property_Assertions,conjecture,
? [BNODE_z] :
( iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
& iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
& iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
file('theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).
fof(testcase_premise_fullish_010_Negative_Property_Assertions,axiom,
? [BNODE_x1,BNODE_x2,BNODE_x3,BNODE_x4] :
( iext(uri_rdf_rest,BNODE_x4,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_x4,uri_ex_o)
& iext(uri_owl_oneOf,BNODE_x3,BNODE_x4)
& iext(uri_owl_complementOf,BNODE_x2,BNODE_x3)
& iext(uri_owl_allValuesFrom,BNODE_x1,BNODE_x2)
& iext(uri_owl_onProperty,BNODE_x1,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,BNODE_x1)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
file('theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).
fof(f_1_1,plain,
! [X] : ir(X),
inference(fof_nnf,[status(thm)],[simple_ir]) ).
fof(f_1_2,plain,
! [U_0] : ir(U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
ir(U_0),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X,C] :
( ( iext(uri_rdf_type,X,C)
| ~ icext(C,X) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(fof_nnf,[status(thm)],[rdfs_cext_def]) ).
fof(f_2_2,plain,
! [U_2,U_1] :
( ( iext(uri_rdf_type,U_2,U_1)
| ~ icext(U_1,U_2) )
& ( icext(U_1,U_2)
| ~ iext(uri_rdf_type,U_2,U_1) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_6,U_4] :
( iext(uri_rdf_type,U_6,U_4)
| ~ icext(U_4,U_6) )
& ! [U_5,U_3] :
( icext(U_3,U_5)
| ~ iext(uri_rdf_type,U_5,U_3) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( icext(U_3,U_5)
| ~ iext(uri_rdf_type,U_5,U_3) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( iext(uri_rdf_type,U_6,U_4)
| ~ icext(U_4,U_6) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [X,Y] :
( ( ir(Y)
& icext(uri_owl_NegativePropertyAssertion,X) )
| ~ iext(uri_owl_sourceIndividual,X,Y) ),
inference(fof_nnf,[status(thm)],[owl_prop_sourceindividual_ext]) ).
fof(f_3_2,plain,
! [U_8,U_7] :
( ( ir(U_7)
& icext(uri_owl_NegativePropertyAssertion,U_8) )
| ~ iext(uri_owl_sourceIndividual,U_8,U_7) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( icext(uri_owl_NegativePropertyAssertion,U_8)
| ~ iext(uri_owl_sourceIndividual,U_8,U_7) ),
inference(clausify,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( ir(U_7)
| ~ iext(uri_owl_sourceIndividual,U_8,U_7) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [X,Y] :
( ( ip(Y)
& icext(uri_owl_Restriction,X) )
| ~ iext(uri_owl_onProperty,X,Y) ),
inference(fof_nnf,[status(thm)],[owl_prop_onproperty_ext]) ).
fof(f_4_2,plain,
! [U_10,U_9] :
( ( ip(U_9)
& icext(uri_owl_Restriction,U_10) )
| ~ iext(uri_owl_onProperty,U_10,U_9) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( icext(uri_owl_Restriction,U_10)
| ~ iext(uri_owl_onProperty,U_10,U_9) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( ip(U_9)
| ~ iext(uri_owl_onProperty,U_10,U_9) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(Z,X)
| icext(C,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(fof_nnf,[status(thm)],[owl_bool_complementof_class]) ).
fof(f_5_2,plain,
! [U_13,U_12] :
( ( ! [U_11] :
( ( icext(U_13,U_11)
| icext(U_12,U_11) )
& ( ~ icext(U_12,U_11)
| ~ icext(U_13,U_11) ) )
& ic(U_12)
& ic(U_13) )
| ~ iext(uri_owl_complementOf,U_13,U_12) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_13,U_12] :
( ( ! [U_15] :
( icext(U_13,U_15)
| icext(U_12,U_15) )
& ! [U_14] :
( ~ icext(U_12,U_14)
| ~ icext(U_13,U_14) )
& ic(U_12)
& ic(U_13) )
| ~ iext(uri_owl_complementOf,U_13,U_12) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
cnf(f_5_4,plain,
( ic(U_13)
| ~ iext(uri_owl_complementOf,U_13,U_12) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_5,plain,
( ic(U_12)
| ~ iext(uri_owl_complementOf,U_13,U_12) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_6,plain,
( ~ icext(U_12,U_14)
| ~ icext(U_13,U_14)
| ~ iext(uri_owl_complementOf,U_13,U_12) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_7,plain,
( icext(U_13,U_15)
| icext(U_12,U_15)
| ~ iext(uri_owl_complementOf,U_13,U_12) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [Z,S1,A1] :
( ( ( iext(uri_owl_oneOf,Z,S1)
| ? [X] :
( ( ~ icext(Z,X)
& X = A1 )
| ( X != A1
& icext(Z,X) ) )
| ~ ic(Z) )
& ( ( ! [X] :
( ( icext(Z,X)
| X != A1 )
& ( X = A1
| ~ icext(Z,X) ) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(fof_nnf,[status(thm)],[owl_enum_class_001]) ).
fof(f_6_2,plain,
! [U_20,U_19,U_18] :
( ( ( iext(uri_owl_oneOf,U_20,U_19)
| ? [U_17] :
( ( ~ icext(U_20,U_17)
& U_17 = U_18 )
| ( U_17 != U_18
& icext(U_20,U_17) ) )
| ~ ic(U_20) )
& ( ( ! [U_16] :
( ( icext(U_20,U_16)
| U_16 != U_18 )
& ( U_16 = U_18
| ~ icext(U_20,U_16) ) )
& ic(U_20) )
| ~ iext(uri_owl_oneOf,U_20,U_19) ) )
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_20,U_19,U_18] :
( ( ( iext(uri_owl_oneOf,U_20,U_19)
| ? [U_24] :
( ~ icext(U_20,U_24)
& U_24 = U_18 )
| ? [U_23] :
( U_23 != U_18
& icext(U_20,U_23) )
| ~ ic(U_20) )
& ( ( ! [U_22] :
( icext(U_20,U_22)
| U_22 != U_18 )
& ! [U_21] :
( U_21 = U_18
| ~ icext(U_20,U_21) )
& ic(U_20) )
| ~ iext(uri_owl_oneOf,U_20,U_19) ) )
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
! [U_20,U_19,U_18] :
( ( ( iext(uri_owl_oneOf,U_20,U_19)
| ? [U_24] :
( ~ icext(U_20,U_24)
& U_24 = U_18 )
| ( sK1(U_20,U_19,U_18) != U_18
& icext(U_20,sK1(U_20,U_19,U_18)) )
| ~ ic(U_20) )
& ( ( ! [U_22] :
( icext(U_20,U_22)
| U_22 != U_18 )
& ! [U_21] :
( U_21 = U_18
| ~ icext(U_20,U_21) )
& ic(U_20) )
| ~ iext(uri_owl_oneOf,U_20,U_19) ) )
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_23,sK1(U_20,U_19,U_18))],[f_6_3]) ).
fof(f_6_5,plain,
! [U_20,U_19,U_18] :
( ( ( iext(uri_owl_oneOf,U_20,U_19)
| ( ~ icext(U_20,sK2(U_20,U_19,U_18))
& sK2(U_20,U_19,U_18) = U_18 )
| ( sK1(U_20,U_19,U_18) != U_18
& icext(U_20,sK1(U_20,U_19,U_18)) )
| ~ ic(U_20) )
& ( ( ! [U_22] :
( icext(U_20,U_22)
| U_22 != U_18 )
& ! [U_21] :
( U_21 = U_18
| ~ icext(U_20,U_21) )
& ic(U_20) )
| ~ iext(uri_owl_oneOf,U_20,U_19) ) )
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_24,sK2(U_20,U_19,U_18))],[f_6_4]) ).
cnf(f_6_6,plain,
( ic(U_20)
| ~ iext(uri_owl_oneOf,U_20,U_19)
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_7,plain,
( U_21 = U_18
| ~ icext(U_20,U_21)
| ~ iext(uri_owl_oneOf,U_20,U_19)
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_8,plain,
( icext(U_20,U_22)
| U_22 != U_18
| ~ iext(uri_owl_oneOf,U_20,U_19)
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_9,plain,
( sK2(U_20,U_19,U_18) = U_18
| icext(U_20,sK1(U_20,U_19,U_18))
| ~ ic(U_20)
| iext(uri_owl_oneOf,U_20,U_19)
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_10,plain,
( ~ icext(U_20,sK2(U_20,U_19,U_18))
| icext(U_20,sK1(U_20,U_19,U_18))
| ~ ic(U_20)
| iext(uri_owl_oneOf,U_20,U_19)
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_11,plain,
( sK2(U_20,U_19,U_18) = U_18
| sK1(U_20,U_19,U_18) != U_18
| ~ ic(U_20)
| iext(uri_owl_oneOf,U_20,U_19)
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_12,plain,
( ~ icext(U_20,sK2(U_20,U_19,U_18))
| sK1(U_20,U_19,U_18) != U_18
| ~ ic(U_20)
| iext(uri_owl_oneOf,U_20,U_19)
| ~ iext(uri_rdf_rest,U_19,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_19,U_18) ),
inference(clausify,[status(thm)],[f_6_5]) ).
fof(f_7_1,plain,
! [Z,P,C] :
( ! [X] :
( ( icext(Z,X)
| ? [Y] :
( ~ icext(C,Y)
& iext(P,X,Y) ) )
& ( ! [Y] :
( icext(C,Y)
| ~ iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_allValuesFrom,Z,C) ),
inference(fof_nnf,[status(thm)],[owl_restrict_allvaluesfrom]) ).
fof(f_7_2,plain,
! [U_30,U_29,U_28] :
( ! [U_27] :
( ( icext(U_30,U_27)
| ? [U_26] :
( ~ icext(U_28,U_26)
& iext(U_29,U_27,U_26) ) )
& ( ! [U_25] :
( icext(U_28,U_25)
| ~ iext(U_29,U_27,U_25) )
| ~ icext(U_30,U_27) ) )
| ~ iext(uri_owl_onProperty,U_30,U_29)
| ~ iext(uri_owl_allValuesFrom,U_30,U_28) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_30,U_29,U_28] :
( ( ! [U_32] :
( icext(U_30,U_32)
| ? [U_26] :
( ~ icext(U_28,U_26)
& iext(U_29,U_32,U_26) ) )
& ! [U_31] :
( ! [U_25] :
( icext(U_28,U_25)
| ~ iext(U_29,U_31,U_25) )
| ~ icext(U_30,U_31) ) )
| ~ iext(uri_owl_onProperty,U_30,U_29)
| ~ iext(uri_owl_allValuesFrom,U_30,U_28) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
! [U_30,U_29,U_28] :
( ( ! [U_32] :
( icext(U_30,U_32)
| ( ~ icext(U_28,sK3(U_30,U_29,U_28,U_32))
& iext(U_29,U_32,sK3(U_30,U_29,U_28,U_32)) ) )
& ! [U_31] :
( ! [U_25] :
( icext(U_28,U_25)
| ~ iext(U_29,U_31,U_25) )
| ~ icext(U_30,U_31) ) )
| ~ iext(uri_owl_onProperty,U_30,U_29)
| ~ iext(uri_owl_allValuesFrom,U_30,U_28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_26,sK3(U_30,U_29,U_28,U_32))],[f_7_3]) ).
cnf(f_7_5,plain,
( icext(U_28,U_25)
| ~ iext(U_29,U_31,U_25)
| ~ icext(U_30,U_31)
| ~ iext(uri_owl_onProperty,U_30,U_29)
| ~ iext(uri_owl_allValuesFrom,U_30,U_28) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_6,plain,
( iext(U_29,U_32,sK3(U_30,U_29,U_28,U_32))
| icext(U_30,U_32)
| ~ iext(uri_owl_onProperty,U_30,U_29)
| ~ iext(uri_owl_allValuesFrom,U_30,U_28) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_7,plain,
( ~ icext(U_28,sK3(U_30,U_29,U_28,U_32))
| icext(U_30,U_32)
| ~ iext(uri_owl_onProperty,U_30,U_29)
| ~ iext(uri_owl_allValuesFrom,U_30,U_28) ),
inference(clausify,[status(thm)],[f_7_4]) ).
fof(f_8_1,plain,
! [P,A1,A2] :
( ? [Z] :
( iext(uri_owl_targetIndividual,Z,A2)
& iext(uri_owl_assertionProperty,Z,P)
& iext(uri_owl_sourceIndividual,Z,A1) )
| iext(P,A1,A2)
| ~ ir(A2)
| ~ ip(P)
| ~ ir(A1) ),
inference(fof_nnf,[status(thm)],[owl_npa_object_fi]) ).
fof(f_8_2,plain,
! [U_36,U_35,U_34] :
( ? [U_33] :
( iext(uri_owl_targetIndividual,U_33,U_34)
& iext(uri_owl_assertionProperty,U_33,U_36)
& iext(uri_owl_sourceIndividual,U_33,U_35) )
| iext(U_36,U_35,U_34)
| ~ ir(U_34)
| ~ ip(U_36)
| ~ ir(U_35) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_36,U_35,U_34] :
( ( iext(uri_owl_targetIndividual,sK4(U_36,U_35,U_34),U_34)
& iext(uri_owl_assertionProperty,sK4(U_36,U_35,U_34),U_36)
& iext(uri_owl_sourceIndividual,sK4(U_36,U_35,U_34),U_35) )
| iext(U_36,U_35,U_34)
| ~ ir(U_34)
| ~ ip(U_36)
| ~ ir(U_35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_33,sK4(U_36,U_35,U_34))],[f_8_2]) ).
cnf(f_8_4,plain,
( iext(uri_owl_sourceIndividual,sK4(U_36,U_35,U_34),U_35)
| iext(U_36,U_35,U_34)
| ~ ir(U_34)
| ~ ip(U_36)
| ~ ir(U_35) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_5,plain,
( iext(uri_owl_assertionProperty,sK4(U_36,U_35,U_34),U_36)
| iext(U_36,U_35,U_34)
| ~ ir(U_34)
| ~ ip(U_36)
| ~ ir(U_35) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_6,plain,
( iext(uri_owl_targetIndividual,sK4(U_36,U_35,U_34),U_34)
| iext(U_36,U_35,U_34)
| ~ ir(U_34)
| ~ ip(U_36)
| ~ ir(U_35) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,negated_conjecture,
~ ? [BNODE_z] :
( iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
& iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
& iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_010_Negative_Property_Assertions]) ).
fof(f_9_2,negated_conjecture,
! [BNODE_z] :
( ~ iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
| ~ iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
inference(fof_nnf,[status(thm)],[f_9_1]) ).
fof(f_9_3,negated_conjecture,
! [U_37] :
( ~ iext(uri_owl_targetIndividual,U_37,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,U_37,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,U_37,uri_ex_s)
| ~ iext(uri_rdf_type,U_37,uri_owl_NegativePropertyAssertion) ),
inference(variable_rename,[status(thm)],[f_9_2]) ).
cnf(f_9_4,negated_conjecture,
( ~ iext(uri_owl_targetIndividual,U_37,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,U_37,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,U_37,uri_ex_s)
| ~ iext(uri_rdf_type,U_37,uri_owl_NegativePropertyAssertion) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
? [BNODE_x1,BNODE_x2,BNODE_x3,BNODE_x4] :
( iext(uri_rdf_rest,BNODE_x4,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_x4,uri_ex_o)
& iext(uri_owl_oneOf,BNODE_x3,BNODE_x4)
& iext(uri_owl_complementOf,BNODE_x2,BNODE_x3)
& iext(uri_owl_allValuesFrom,BNODE_x1,BNODE_x2)
& iext(uri_owl_onProperty,BNODE_x1,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,BNODE_x1)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_010_Negative_Property_Assertions]) ).
fof(f_10_2,plain,
? [U_41,U_40,U_39,U_38] :
( iext(uri_rdf_rest,U_38,uri_rdf_nil)
& iext(uri_rdf_first,U_38,uri_ex_o)
& iext(uri_owl_oneOf,U_39,U_38)
& iext(uri_owl_complementOf,U_40,U_39)
& iext(uri_owl_allValuesFrom,U_41,U_40)
& iext(uri_owl_onProperty,U_41,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,U_41)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ? [U_41] :
( ? [U_40] :
( ? [U_39] :
( ? [U_38] :
( iext(uri_rdf_rest,U_38,uri_rdf_nil)
& iext(uri_rdf_first,U_38,uri_ex_o)
& iext(uri_owl_oneOf,U_39,U_38) )
& iext(uri_owl_complementOf,U_40,U_39) )
& iext(uri_owl_allValuesFrom,U_41,U_40) )
& iext(uri_owl_onProperty,U_41,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,U_41) )
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ? [U_40] :
( ? [U_39] :
( ? [U_38] :
( iext(uri_rdf_rest,U_38,uri_rdf_nil)
& iext(uri_rdf_first,U_38,uri_ex_o)
& iext(uri_owl_oneOf,U_39,U_38) )
& iext(uri_owl_complementOf,U_40,U_39) )
& iext(uri_owl_allValuesFrom,sK5,U_40) )
& iext(uri_owl_onProperty,sK5,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,sK5)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_41,sK5)],[f_10_3]) ).
fof(f_10_5,plain,
( ? [U_39] :
( ? [U_38] :
( iext(uri_rdf_rest,U_38,uri_rdf_nil)
& iext(uri_rdf_first,U_38,uri_ex_o)
& iext(uri_owl_oneOf,U_39,U_38) )
& iext(uri_owl_complementOf,sK6,U_39) )
& iext(uri_owl_allValuesFrom,sK5,sK6)
& iext(uri_owl_onProperty,sK5,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,sK5)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_40,sK6)],[f_10_4]) ).
fof(f_10_6,plain,
( ? [U_38] :
( iext(uri_rdf_rest,U_38,uri_rdf_nil)
& iext(uri_rdf_first,U_38,uri_ex_o)
& iext(uri_owl_oneOf,sK7,U_38) )
& iext(uri_owl_complementOf,sK6,sK7)
& iext(uri_owl_allValuesFrom,sK5,sK6)
& iext(uri_owl_onProperty,sK5,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,sK5)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_39,sK7)],[f_10_5]) ).
fof(f_10_7,plain,
( iext(uri_rdf_rest,sK8,uri_rdf_nil)
& iext(uri_rdf_first,sK8,uri_ex_o)
& iext(uri_owl_oneOf,sK7,sK8)
& iext(uri_owl_complementOf,sK6,sK7)
& iext(uri_owl_allValuesFrom,sK5,sK6)
& iext(uri_owl_onProperty,sK5,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,sK5)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_38,sK8)],[f_10_6]) ).
cnf(f_10_8,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_9,plain,
iext(uri_rdf_type,uri_ex_s,sK5),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_10,plain,
iext(uri_owl_onProperty,sK5,uri_ex_p),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_11,plain,
iext(uri_owl_allValuesFrom,sK5,sK6),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_12,plain,
iext(uri_owl_complementOf,sK6,sK7),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_13,plain,
iext(uri_owl_oneOf,sK7,sK8),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_14,plain,
iext(uri_rdf_first,sK8,uri_ex_o),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_15,plain,
iext(uri_rdf_rest,sK8,uri_rdf_nil),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( sK1(Eq_x_0,Eq_x_1,Eq_x_2) = sK1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK2(Eq_x_0,Eq_x_1,Eq_x_2) = sK2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( sK3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK4(Eq_x_0,Eq_x_1,Eq_x_2) = sK4(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( ir(Eq_y_0)
| ~ ir(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( iext(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ iext(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( icext(Eq_y_0,Eq_y_1)
| ~ icext(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( ip(Eq_y_0)
| ~ ip(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( ic(Eq_y_0)
| ~ ic(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 01:03:42 UTC 2026
% 0.08/0.37 % CPUTime :
% 277.33/277.69 % SZS status Theorem for theBenchmark
% 277.33/277.69 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------