%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB026+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 09:01:01 AM UTC 2026
% Result : Theorem 59.77s 60.11s
% Output : Proof 60.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(rdf_type_ip,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('theBenchmark.p',rdf_type_ip) ).
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_domain_main,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('theBenchmark.p',rdfs_domain_main) ).
fof(rdfs_domain_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('theBenchmark.p',rdfs_domain_domain) ).
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_char_inversefunctional,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( ( iext(P,X2,Y)
& iext(P,X1,Y) )
=> X1 = X2 )
& ip(P) ) ),
file('theBenchmark.p',owl_char_inversefunctional) ).
fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
& iext(uri_rdfs_domain,uri_ex_p,BNODE_x1) ),
file('theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(f_1_1,plain,
! [P] :
( ( iext(uri_rdf_type,P,uri_rdf_Property)
| ~ ip(P) )
& ( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(fof_nnf,[status(thm)],[rdf_type_ip]) ).
fof(f_1_2,plain,
! [U_0] :
( ( iext(uri_rdf_type,U_0,uri_rdf_Property)
| ~ ip(U_0) )
& ( ip(U_0)
| ~ iext(uri_rdf_type,U_0,uri_rdf_Property) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_2] :
( iext(uri_rdf_type,U_2,uri_rdf_Property)
| ~ ip(U_2) )
& ! [U_1] :
( ip(U_1)
| ~ iext(uri_rdf_type,U_1,uri_rdf_Property) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
fof(f_1_4,plain,
( ! [U_2] :
( iext(uri_rdf_type,U_2,uri_rdf_Property)
| ~ ip(U_2) )
& ! [U_1] :
( ip(U_1)
| ~ iext(uri_rdf_type,U_1,uri_rdf_Property) ) ),
inference(definitional_conversion,[status(esa)],[f_1_3]) ).
cnf(f_1_5,plain,
( ip(U_1)
| ~ iext(uri_rdf_type,U_1,uri_rdf_Property) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,plain,
( iext(uri_rdf_type,U_2,uri_rdf_Property)
| ~ ip(U_2) ),
inference(clausify,[status(thm)],[f_1_4]) ).
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_4,U_3] :
( ( iext(uri_rdf_type,U_4,U_3)
| ~ icext(U_3,U_4) )
& ( icext(U_3,U_4)
| ~ iext(uri_rdf_type,U_4,U_3) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_8,U_6] :
( iext(uri_rdf_type,U_8,U_6)
| ~ icext(U_6,U_8) )
& ! [U_7,U_5] :
( icext(U_5,U_7)
| ~ iext(uri_rdf_type,U_7,U_5) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_6,U_8] :
( iext(uri_rdf_type,U_8,U_6)
| ~ icext(U_6,U_8) )
& ! [U_5,U_7] :
( icext(U_5,U_7)
| ~ iext(uri_rdf_type,U_7,U_5) ) ),
inference(definitional_conversion,[status(esa)],[f_2_3]) ).
cnf(f_2_5,plain,
( icext(U_5,U_7)
| ~ iext(uri_rdf_type,U_7,U_5) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_6,plain,
( iext(uri_rdf_type,U_8,U_6)
| ~ icext(U_6,U_8) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(fof_nnf,[status(thm)],[rdfs_domain_main]) ).
fof(f_3_2,plain,
! [U_12,U_11,U_10,U_9] :
( icext(U_11,U_10)
| ~ iext(U_12,U_10,U_9)
| ~ iext(uri_rdfs_domain,U_12,U_11) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_12,U_11,U_10] :
( ! [U_9] : ~ iext(U_12,U_10,U_9)
| ~ iext(uri_rdfs_domain,U_12,U_11)
| icext(U_11,U_10) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
! [U_9,U_11,U_10,U_12] :
( ~ iext(U_12,U_10,U_9)
| ~ iext(uri_rdfs_domain,U_12,U_11)
| icext(U_11,U_10) ),
inference(definitional_conversion,[status(esa)],[f_3_3]) ).
cnf(f_3_5,plain,
( ~ iext(U_12,U_10,U_9)
| ~ iext(uri_rdfs_domain,U_12,U_11)
| icext(U_11,U_10) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(fof_nnf,[status(thm)],[rdfs_domain_domain]) ).
fof(f_4_2,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(definitional_conversion,[status(esa)],[f_4_1]) ).
cnf(f_4_3,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_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_5_2,plain,
! [U_17,U_16,U_15] :
( ( ( iext(uri_owl_oneOf,U_17,U_16)
| ? [U_14] :
( ( ~ icext(U_17,U_14)
& U_14 = U_15 )
| ( U_14 != U_15
& icext(U_17,U_14) ) )
| ~ ic(U_17) )
& ( ( ! [U_13] :
( ( icext(U_17,U_13)
| U_13 != U_15 )
& ( U_13 = U_15
| ~ icext(U_17,U_13) ) )
& ic(U_17) )
| ~ iext(uri_owl_oneOf,U_17,U_16) ) )
| ~ iext(uri_rdf_rest,U_16,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_17,U_16,U_15] :
( ( ( iext(uri_owl_oneOf,U_17,U_16)
| ? [U_21] :
( ~ icext(U_17,U_21)
& U_21 = U_15 )
| ? [U_20] :
( U_20 != U_15
& icext(U_17,U_20) )
| ~ ic(U_17) )
& ( ( ! [U_19] :
( icext(U_17,U_19)
| U_19 != U_15 )
& ! [U_18] :
( U_18 = U_15
| ~ icext(U_17,U_18) )
& ic(U_17) )
| ~ iext(uri_owl_oneOf,U_17,U_16) ) )
| ~ iext(uri_rdf_rest,U_16,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
! [U_17,U_16,U_15] :
( ( ( iext(uri_owl_oneOf,U_17,U_16)
| ? [U_21] :
( ~ icext(U_17,U_21)
& U_21 = U_15 )
| ( sK1(U_17,U_16,U_15) != U_15
& icext(U_17,sK1(U_17,U_16,U_15)) )
| ~ ic(U_17) )
& ( ( ! [U_19] :
( icext(U_17,U_19)
| U_19 != U_15 )
& ! [U_18] :
( U_18 = U_15
| ~ icext(U_17,U_18) )
& ic(U_17) )
| ~ iext(uri_owl_oneOf,U_17,U_16) ) )
| ~ iext(uri_rdf_rest,U_16,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_20,sK1(U_17,U_16,U_15))],[f_5_3]) ).
fof(f_5_5,plain,
! [U_17,U_16,U_15] :
( ( ( iext(uri_owl_oneOf,U_17,U_16)
| ( ~ icext(U_17,sK2(U_17,U_16,U_15))
& sK2(U_17,U_16,U_15) = U_15 )
| ( sK1(U_17,U_16,U_15) != U_15
& icext(U_17,sK1(U_17,U_16,U_15)) )
| ~ ic(U_17) )
& ( ( ! [U_19] :
( icext(U_17,U_19)
| U_19 != U_15 )
& ! [U_18] :
( U_18 = U_15
| ~ icext(U_17,U_18) )
& ic(U_17) )
| ~ iext(uri_owl_oneOf,U_17,U_16) ) )
| ~ iext(uri_rdf_rest,U_16,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_21,sK2(U_17,U_16,U_15))],[f_5_4]) ).
fof(f_5_6,plain,
( ! [U_15,U_16,U_17] :
( ~ icext(U_17,sK2(U_17,U_16,U_15))
| ~ sP2(U_15,U_16,U_17) )
& ! [U_15,U_16,U_17] :
( sK2(U_17,U_16,U_15) = U_15
| ~ sP2(U_15,U_16,U_17) )
& ! [U_15,U_16,U_17] :
( sK1(U_17,U_16,U_15) != U_15
| ~ sP1(U_15,U_16,U_17) )
& ! [U_15,U_16,U_17] :
( icext(U_17,sK1(U_17,U_16,U_15))
| ~ sP1(U_15,U_16,U_17) )
& ! [U_15,U_17,U_18,U_19] :
( icext(U_17,U_19)
| U_19 != U_15
| ~ sP0(U_15,U_17,U_18,U_19) )
& ! [U_15,U_17,U_18,U_19] :
( U_18 = U_15
| ~ icext(U_17,U_18)
| ~ sP0(U_15,U_17,U_18,U_19) )
& ! [U_15,U_17,U_18,U_19] :
( ic(U_17)
| ~ sP0(U_15,U_17,U_18,U_19) )
& ! [U_15,U_16,U_17,U_18,U_19] :
( iext(uri_owl_oneOf,U_17,U_16)
| sP2(U_15,U_16,U_17)
| sP1(U_15,U_16,U_17)
| ~ ic(U_17)
| ~ sP3(U_15,U_16,U_17,U_18,U_19) )
& ! [U_15,U_16,U_17,U_18,U_19] :
( sP0(U_15,U_17,U_18,U_19)
| ~ iext(uri_owl_oneOf,U_17,U_16)
| ~ sP3(U_15,U_16,U_17,U_18,U_19) )
& ! [U_15,U_16,U_17,U_18,U_19] :
( sP3(U_15,U_16,U_17,U_18,U_19)
| ~ iext(uri_rdf_rest,U_16,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_16,U_15) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_5_5]) ).
cnf(f_5_7,plain,
( sP3(U_15,U_16,U_17,U_18,U_19)
| ~ iext(uri_rdf_rest,U_16,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_8,plain,
( sP0(U_15,U_17,U_18,U_19)
| ~ iext(uri_owl_oneOf,U_17,U_16)
| ~ sP3(U_15,U_16,U_17,U_18,U_19) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_9,plain,
( iext(uri_owl_oneOf,U_17,U_16)
| sP2(U_15,U_16,U_17)
| sP1(U_15,U_16,U_17)
| ~ ic(U_17)
| ~ sP3(U_15,U_16,U_17,U_18,U_19) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_10,plain,
( ic(U_17)
| ~ sP0(U_15,U_17,U_18,U_19) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_11,plain,
( U_18 = U_15
| ~ icext(U_17,U_18)
| ~ sP0(U_15,U_17,U_18,U_19) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_12,plain,
( icext(U_17,U_19)
| U_19 != U_15
| ~ sP0(U_15,U_17,U_18,U_19) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_13,plain,
( icext(U_17,sK1(U_17,U_16,U_15))
| ~ sP1(U_15,U_16,U_17) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_14,plain,
( sK1(U_17,U_16,U_15) != U_15
| ~ sP1(U_15,U_16,U_17) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_15,plain,
( sK2(U_17,U_16,U_15) = U_15
| ~ sP2(U_15,U_16,U_17) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_16,plain,
( ~ icext(U_17,sK2(U_17,U_16,U_15))
| ~ sP2(U_15,U_16,U_17) ),
inference(clausify,[status(thm)],[f_5_6]) ).
fof(f_6_1,plain,
! [P] :
( ( icext(uri_owl_InverseFunctionalProperty,P)
| ? [X1,X2,Y] :
( X1 != X2
& iext(P,X2,Y)
& iext(P,X1,Y) )
| ~ ip(P) )
& ( ( ! [X1,X2,Y] :
( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(fof_nnf,[status(thm)],[owl_char_inversefunctional]) ).
fof(f_6_2,plain,
! [U_28] :
( ( icext(uri_owl_InverseFunctionalProperty,U_28)
| ? [U_27,U_26,U_25] :
( U_27 != U_26
& iext(U_28,U_26,U_25)
& iext(U_28,U_27,U_25) )
| ~ ip(U_28) )
& ( ( ! [U_24,U_23,U_22] :
( U_24 = U_23
| ~ iext(U_28,U_23,U_22)
| ~ iext(U_28,U_24,U_22) )
& ip(U_28) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_28) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_30] :
( icext(uri_owl_InverseFunctionalProperty,U_30)
| ? [U_27,U_26] :
( ? [U_25] :
( iext(U_30,U_26,U_25)
& iext(U_30,U_27,U_25) )
& U_27 != U_26 )
| ~ ip(U_30) )
& ! [U_29] :
( ( ! [U_24,U_23] :
( ! [U_22] :
( ~ iext(U_29,U_23,U_22)
| ~ iext(U_29,U_24,U_22) )
| U_24 = U_23 )
& ip(U_29) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_29) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_30] :
( icext(uri_owl_InverseFunctionalProperty,U_30)
| ? [U_26] :
( ? [U_25] :
( iext(U_30,U_26,U_25)
& iext(U_30,sK3(U_30),U_25) )
& sK3(U_30) != U_26 )
| ~ ip(U_30) )
& ! [U_29] :
( ( ! [U_24,U_23] :
( ! [U_22] :
( ~ iext(U_29,U_23,U_22)
| ~ iext(U_29,U_24,U_22) )
| U_24 = U_23 )
& ip(U_29) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_27,sK3(U_30))],[f_6_3]) ).
fof(f_6_5,plain,
( ! [U_30] :
( icext(uri_owl_InverseFunctionalProperty,U_30)
| ( ? [U_25] :
( iext(U_30,sK4(U_30),U_25)
& iext(U_30,sK3(U_30),U_25) )
& sK3(U_30) != sK4(U_30) )
| ~ ip(U_30) )
& ! [U_29] :
( ( ! [U_24,U_23] :
( ! [U_22] :
( ~ iext(U_29,U_23,U_22)
| ~ iext(U_29,U_24,U_22) )
| U_24 = U_23 )
& ip(U_29) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_26,sK4(U_30))],[f_6_4]) ).
fof(f_6_6,plain,
( ! [U_30] :
( icext(uri_owl_InverseFunctionalProperty,U_30)
| ( iext(U_30,sK4(U_30),sK5(U_30))
& iext(U_30,sK3(U_30),sK5(U_30))
& sK3(U_30) != sK4(U_30) )
| ~ ip(U_30) )
& ! [U_29] :
( ( ! [U_24,U_23] :
( ! [U_22] :
( ~ iext(U_29,U_23,U_22)
| ~ iext(U_29,U_24,U_22) )
| U_24 = U_23 )
& ip(U_29) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_25,sK5(U_30))],[f_6_5]) ).
fof(f_6_7,plain,
( ! [U_30] :
( iext(U_30,sK4(U_30),sK5(U_30))
| ~ sP5(U_30) )
& ! [U_30] :
( iext(U_30,sK3(U_30),sK5(U_30))
| ~ sP5(U_30) )
& ! [U_30] :
( sK3(U_30) != sK4(U_30)
| ~ sP5(U_30) )
& ! [U_24,U_29,U_23,U_22] :
( ~ iext(U_29,U_23,U_22)
| ~ iext(U_29,U_24,U_22)
| U_24 = U_23
| ~ sP4(U_24,U_29,U_23,U_22) )
& ! [U_24,U_29,U_23,U_22] :
( ip(U_29)
| ~ sP4(U_24,U_29,U_23,U_22) )
& ! [U_30] :
( icext(uri_owl_InverseFunctionalProperty,U_30)
| sP5(U_30)
| ~ ip(U_30) )
& ! [U_24,U_29,U_23,U_22] :
( sP4(U_24,U_29,U_23,U_22)
| ~ icext(uri_owl_InverseFunctionalProperty,U_29) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4,sP5])],[f_6_6]) ).
cnf(f_6_8,plain,
( sP4(U_24,U_29,U_23,U_22)
| ~ icext(uri_owl_InverseFunctionalProperty,U_29) ),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_9,plain,
( icext(uri_owl_InverseFunctionalProperty,U_30)
| sP5(U_30)
| ~ ip(U_30) ),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_10,plain,
( ip(U_29)
| ~ sP4(U_24,U_29,U_23,U_22) ),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_11,plain,
( ~ iext(U_29,U_23,U_22)
| ~ iext(U_29,U_24,U_22)
| U_24 = U_23
| ~ sP4(U_24,U_29,U_23,U_22) ),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_12,plain,
( sK3(U_30) != sK4(U_30)
| ~ sP5(U_30) ),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_13,plain,
( iext(U_30,sK3(U_30),sK5(U_30))
| ~ sP5(U_30) ),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_14,plain,
( iext(U_30,sK4(U_30),sK5(U_30))
| ~ sP5(U_30) ),
inference(clausify,[status(thm)],[f_6_7]) ).
fof(f_7_1,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negate,[status(cth)],[testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I]) ).
fof(f_7_2,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(definitional_conversion,[status(esa)],[f_7_1]) ).
cnf(f_7_3,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
& iext(uri_rdfs_domain,uri_ex_p,BNODE_x1) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).
fof(f_8_2,plain,
? [U_34,U_33,U_32,U_31] :
( iext(uri_rdf_rest,U_31,uri_rdf_nil)
& iext(uri_rdf_first,U_31,uri_ex_u)
& iext(uri_owl_oneOf,U_33,U_31)
& iext(uri_rdfs_range,uri_ex_p,U_33)
& iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_w)
& iext(uri_owl_oneOf,U_34,U_32)
& iext(uri_rdfs_domain,uri_ex_p,U_34) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ? [U_34] :
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_w)
& iext(uri_owl_oneOf,U_34,U_32) )
& iext(uri_rdfs_domain,uri_ex_p,U_34) )
& ? [U_33] :
( ? [U_31] :
( iext(uri_rdf_rest,U_31,uri_rdf_nil)
& iext(uri_rdf_first,U_31,uri_ex_u)
& iext(uri_owl_oneOf,U_33,U_31) )
& iext(uri_rdfs_range,uri_ex_p,U_33) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ? [U_34] :
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_w)
& iext(uri_owl_oneOf,U_34,U_32) )
& iext(uri_rdfs_domain,uri_ex_p,U_34) )
& ? [U_31] :
( iext(uri_rdf_rest,U_31,uri_rdf_nil)
& iext(uri_rdf_first,U_31,uri_ex_u)
& iext(uri_owl_oneOf,sK6,U_31) )
& iext(uri_rdfs_range,uri_ex_p,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_33,sK6)],[f_8_3]) ).
fof(f_8_5,plain,
( ? [U_34] :
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_w)
& iext(uri_owl_oneOf,U_34,U_32) )
& iext(uri_rdfs_domain,uri_ex_p,U_34) )
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_u)
& iext(uri_owl_oneOf,sK6,sK7)
& iext(uri_rdfs_range,uri_ex_p,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_31,sK7)],[f_8_4]) ).
fof(f_8_6,plain,
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_w)
& iext(uri_owl_oneOf,sK8,U_32) )
& iext(uri_rdfs_domain,uri_ex_p,sK8)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_u)
& iext(uri_owl_oneOf,sK6,sK7)
& iext(uri_rdfs_range,uri_ex_p,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_34,sK8)],[f_8_5]) ).
fof(f_8_7,plain,
( iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_w)
& iext(uri_owl_oneOf,sK8,sK9)
& iext(uri_rdfs_domain,uri_ex_p,sK8)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_u)
& iext(uri_owl_oneOf,sK6,sK7)
& iext(uri_rdfs_range,uri_ex_p,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_32,sK9)],[f_8_6]) ).
fof(f_8_8,plain,
( iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_w)
& iext(uri_owl_oneOf,sK8,sK9)
& iext(uri_rdfs_domain,uri_ex_p,sK8)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_u)
& iext(uri_owl_oneOf,sK6,sK7)
& iext(uri_rdfs_range,uri_ex_p,sK6) ),
inference(definitional_conversion,[status(esa)],[f_8_7]) ).
cnf(f_8_9,plain,
iext(uri_rdfs_range,uri_ex_p,sK6),
inference(clausify,[status(thm)],[f_8_8]) ).
cnf(f_8_10,plain,
iext(uri_owl_oneOf,sK6,sK7),
inference(clausify,[status(thm)],[f_8_8]) ).
cnf(f_8_11,plain,
iext(uri_rdf_first,sK7,uri_ex_u),
inference(clausify,[status(thm)],[f_8_8]) ).
cnf(f_8_12,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(clausify,[status(thm)],[f_8_8]) ).
cnf(f_8_13,plain,
iext(uri_rdfs_domain,uri_ex_p,sK8),
inference(clausify,[status(thm)],[f_8_8]) ).
cnf(f_8_14,plain,
iext(uri_owl_oneOf,sK8,sK9),
inference(clausify,[status(thm)],[f_8_8]) ).
cnf(f_8_15,plain,
iext(uri_rdf_first,sK9,uri_ex_w),
inference(clausify,[status(thm)],[f_8_8]) ).
cnf(f_8_16,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(clausify,[status(thm)],[f_8_8]) ).
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) = sK3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK4(Eq_x_0) = sK4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK5(Eq_x_0) = sK5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
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,
( ip(Eq_y_0)
| ~ ip(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,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_12,axiom,
( ic(Eq_y_0)
| ~ ic(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( sP0(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP0(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_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_predicates]) ).
cnf(equality_14,axiom,
( sP1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1(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_15,axiom,
( sP2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP2(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_16,axiom,
( sP3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| 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_predicates]) ).
cnf(equality_17,axiom,
( sP4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_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_predicates]) ).
cnf(equality_18,axiom,
( sP5(Eq_y_0)
| ~ sP5(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 : SWB026+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n001.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 20 01:19:40 UTC 2026
% 0.08/0.37 % CPUTime :
% 59.77/60.11 % SZS status Theorem for theBenchmark
% 59.77/60.11 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------