%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB031+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 : n015.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 09:01:03 AM UTC 2026
% Result : Unsatisfiable 5.65s 5.98s
% Output : Proof 5.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 146 ( 85 unt; 0 def)
% Number of atoms : 430 ( 40 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 466 ( 182 ~; 176 |; 102 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 218 ( 30 sgn 138 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X),
file('theBenchmark.p',simple_ir) ).
fof(owl_class_thing_ext,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('theBenchmark.p',owl_class_thing_ext) ).
fof(owl_class_nothing_ext,axiom,
! [X] : ~ icext(uri_owl_Nothing,X),
file('theBenchmark.p',owl_class_nothing_ext) ).
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_eqdis_equivalentclass,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(testcase_premise_fullish_031_Large_Universe,axiom,
? [BNODE_x,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ),
file('theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
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]) ).
fof(f_1_3,plain,
! [U_0] : ir(U_0),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
ir(U_0),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X] :
( ( icext(uri_owl_Thing,X)
| ~ ir(X) )
& ( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(fof_nnf,[status(thm)],[owl_class_thing_ext]) ).
fof(f_2_2,plain,
! [U_1] :
( ( icext(uri_owl_Thing,U_1)
| ~ ir(U_1) )
& ( ir(U_1)
| ~ icext(uri_owl_Thing,U_1) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_3] :
( icext(uri_owl_Thing,U_3)
| ~ ir(U_3) )
& ! [U_2] :
( ir(U_2)
| ~ icext(uri_owl_Thing,U_2) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_3] :
( icext(uri_owl_Thing,U_3)
| ~ ir(U_3) )
& ! [U_2] :
( ir(U_2)
| ~ icext(uri_owl_Thing,U_2) ) ),
inference(definitional_conversion,[status(esa)],[f_2_3]) ).
cnf(f_2_6,plain,
( icext(uri_owl_Thing,U_3)
| ~ ir(U_3) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(fof_nnf,[status(thm)],[owl_class_nothing_ext]) ).
fof(f_3_2,plain,
! [U_4] : ~ icext(uri_owl_Nothing,U_4),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_4] : ~ icext(uri_owl_Nothing,U_4),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
~ icext(uri_owl_Nothing,U_4),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_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_4_2,plain,
! [U_9,U_8,U_7] :
( ( ( iext(uri_owl_oneOf,U_9,U_8)
| ? [U_6] :
( ( ~ icext(U_9,U_6)
& U_6 = U_7 )
| ( U_6 != U_7
& icext(U_9,U_6) ) )
| ~ ic(U_9) )
& ( ( ! [U_5] :
( ( icext(U_9,U_5)
| U_5 != U_7 )
& ( U_5 = U_7
| ~ icext(U_9,U_5) ) )
& ic(U_9) )
| ~ iext(uri_owl_oneOf,U_9,U_8) ) )
| ~ iext(uri_rdf_rest,U_8,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_8,U_7) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_9,U_8,U_7] :
( ( ( iext(uri_owl_oneOf,U_9,U_8)
| ? [U_13] :
( ~ icext(U_9,U_13)
& U_13 = U_7 )
| ? [U_12] :
( U_12 != U_7
& icext(U_9,U_12) )
| ~ ic(U_9) )
& ( ( ! [U_11] :
( icext(U_9,U_11)
| U_11 != U_7 )
& ! [U_10] :
( U_10 = U_7
| ~ icext(U_9,U_10) )
& ic(U_9) )
| ~ iext(uri_owl_oneOf,U_9,U_8) ) )
| ~ iext(uri_rdf_rest,U_8,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_8,U_7) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
! [U_9,U_8,U_7] :
( ( ( iext(uri_owl_oneOf,U_9,U_8)
| ? [U_13] :
( ~ icext(U_9,U_13)
& U_13 = U_7 )
| ( sK1(U_9,U_8,U_7) != U_7
& icext(U_9,sK1(U_9,U_8,U_7)) )
| ~ ic(U_9) )
& ( ( ! [U_11] :
( icext(U_9,U_11)
| U_11 != U_7 )
& ! [U_10] :
( U_10 = U_7
| ~ icext(U_9,U_10) )
& ic(U_9) )
| ~ iext(uri_owl_oneOf,U_9,U_8) ) )
| ~ iext(uri_rdf_rest,U_8,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_8,U_7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_12,sK1(U_9,U_8,U_7))],[f_4_3]) ).
fof(f_4_5,plain,
! [U_9,U_8,U_7] :
( ( ( iext(uri_owl_oneOf,U_9,U_8)
| ( ~ icext(U_9,sK2(U_9,U_8,U_7))
& sK2(U_9,U_8,U_7) = U_7 )
| ( sK1(U_9,U_8,U_7) != U_7
& icext(U_9,sK1(U_9,U_8,U_7)) )
| ~ ic(U_9) )
& ( ( ! [U_11] :
( icext(U_9,U_11)
| U_11 != U_7 )
& ! [U_10] :
( U_10 = U_7
| ~ icext(U_9,U_10) )
& ic(U_9) )
| ~ iext(uri_owl_oneOf,U_9,U_8) ) )
| ~ iext(uri_rdf_rest,U_8,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_8,U_7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_13,sK2(U_9,U_8,U_7))],[f_4_4]) ).
fof(f_4_6,plain,
( ! [U_7,U_8,U_9] :
( ~ icext(U_9,sK2(U_9,U_8,U_7))
| ~ sP2(U_7,U_8,U_9) )
& ! [U_7,U_8,U_9] :
( sK2(U_9,U_8,U_7) = U_7
| ~ sP2(U_7,U_8,U_9) )
& ! [U_7,U_8,U_9] :
( sK1(U_9,U_8,U_7) != U_7
| ~ sP1(U_7,U_8,U_9) )
& ! [U_7,U_8,U_9] :
( icext(U_9,sK1(U_9,U_8,U_7))
| ~ sP1(U_7,U_8,U_9) )
& ! [U_7,U_9,U_11,U_10] :
( icext(U_9,U_11)
| U_11 != U_7
| ~ sP0(U_7,U_9,U_11,U_10) )
& ! [U_7,U_9,U_11,U_10] :
( U_10 = U_7
| ~ icext(U_9,U_10)
| ~ sP0(U_7,U_9,U_11,U_10) )
& ! [U_7,U_9,U_11,U_10] :
( ic(U_9)
| ~ sP0(U_7,U_9,U_11,U_10) )
& ! [U_7,U_8,U_9,U_11,U_10] :
( iext(uri_owl_oneOf,U_9,U_8)
| sP2(U_7,U_8,U_9)
| sP1(U_7,U_8,U_9)
| ~ ic(U_9)
| ~ sP3(U_7,U_8,U_9,U_11,U_10) )
& ! [U_7,U_8,U_9,U_11,U_10] :
( sP0(U_7,U_9,U_11,U_10)
| ~ iext(uri_owl_oneOf,U_9,U_8)
| ~ sP3(U_7,U_8,U_9,U_11,U_10) )
& ! [U_7,U_8,U_9,U_11,U_10] :
( sP3(U_7,U_8,U_9,U_11,U_10)
| ~ iext(uri_rdf_rest,U_8,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_8,U_7) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_4_5]) ).
cnf(f_4_7,plain,
( sP3(U_7,U_8,U_9,U_11,U_10)
| ~ iext(uri_rdf_rest,U_8,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_8,U_7) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_8,plain,
( sP0(U_7,U_9,U_11,U_10)
| ~ iext(uri_owl_oneOf,U_9,U_8)
| ~ sP3(U_7,U_8,U_9,U_11,U_10) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_11,plain,
( U_10 = U_7
| ~ icext(U_9,U_10)
| ~ sP0(U_7,U_9,U_11,U_10) ),
inference(clausify,[status(thm)],[f_4_6]) ).
fof(f_5_1,plain,
! [C1,C2] :
( ( iext(uri_owl_equivalentClass,C1,C2)
| ? [X] :
( ( ~ icext(C1,X)
& icext(C2,X) )
| ( ~ icext(C2,X)
& icext(C1,X) ) )
| ~ ic(C2)
| ~ ic(C1) )
& ( ( ! [X] :
( ( icext(C1,X)
| ~ icext(C2,X) )
& ( icext(C2,X)
| ~ icext(C1,X) ) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(fof_nnf,[status(thm)],[owl_eqdis_equivalentclass]) ).
fof(f_5_2,plain,
! [U_17,U_16] :
( ( iext(uri_owl_equivalentClass,U_17,U_16)
| ? [U_15] :
( ( ~ icext(U_17,U_15)
& icext(U_16,U_15) )
| ( ~ icext(U_16,U_15)
& icext(U_17,U_15) ) )
| ~ ic(U_16)
| ~ ic(U_17) )
& ( ( ! [U_14] :
( ( icext(U_17,U_14)
| ~ icext(U_16,U_14) )
& ( icext(U_16,U_14)
| ~ icext(U_17,U_14) ) )
& ic(U_16)
& ic(U_17) )
| ~ iext(uri_owl_equivalentClass,U_17,U_16) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_25,U_23] :
( iext(uri_owl_equivalentClass,U_25,U_23)
| ? [U_21] :
( ~ icext(U_25,U_21)
& icext(U_23,U_21) )
| ? [U_20] :
( ~ icext(U_23,U_20)
& icext(U_25,U_20) )
| ~ ic(U_23)
| ~ ic(U_25) )
& ! [U_24,U_22] :
( ( ! [U_19] :
( icext(U_24,U_19)
| ~ icext(U_22,U_19) )
& ! [U_18] :
( icext(U_22,U_18)
| ~ icext(U_24,U_18) )
& ic(U_22)
& ic(U_24) )
| ~ iext(uri_owl_equivalentClass,U_24,U_22) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_25,U_23] :
( iext(uri_owl_equivalentClass,U_25,U_23)
| ? [U_21] :
( ~ icext(U_25,U_21)
& icext(U_23,U_21) )
| ( ~ icext(U_23,sK3(U_25,U_23))
& icext(U_25,sK3(U_25,U_23)) )
| ~ ic(U_23)
| ~ ic(U_25) )
& ! [U_24,U_22] :
( ( ! [U_19] :
( icext(U_24,U_19)
| ~ icext(U_22,U_19) )
& ! [U_18] :
( icext(U_22,U_18)
| ~ icext(U_24,U_18) )
& ic(U_22)
& ic(U_24) )
| ~ iext(uri_owl_equivalentClass,U_24,U_22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_20,sK3(U_25,U_23))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_25,U_23] :
( iext(uri_owl_equivalentClass,U_25,U_23)
| ( ~ icext(U_25,sK4(U_25,U_23))
& icext(U_23,sK4(U_25,U_23)) )
| ( ~ icext(U_23,sK3(U_25,U_23))
& icext(U_25,sK3(U_25,U_23)) )
| ~ ic(U_23)
| ~ ic(U_25) )
& ! [U_24,U_22] :
( ( ! [U_19] :
( icext(U_24,U_19)
| ~ icext(U_22,U_19) )
& ! [U_18] :
( icext(U_22,U_18)
| ~ icext(U_24,U_18) )
& ic(U_22)
& ic(U_24) )
| ~ iext(uri_owl_equivalentClass,U_24,U_22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_21,sK4(U_25,U_23))],[f_5_4]) ).
fof(f_5_6,plain,
( ! [U_23,U_25] :
( ~ icext(U_25,sK4(U_25,U_23))
| ~ sP6(U_23,U_25) )
& ! [U_23,U_25] :
( icext(U_23,sK4(U_25,U_23))
| ~ sP6(U_23,U_25) )
& ! [U_23,U_25] :
( ~ icext(U_23,sK3(U_25,U_23))
| ~ sP5(U_23,U_25) )
& ! [U_23,U_25] :
( icext(U_25,sK3(U_25,U_23))
| ~ sP5(U_23,U_25) )
& ! [U_24,U_22,U_19,U_18] :
( icext(U_24,U_19)
| ~ icext(U_22,U_19)
| ~ sP4(U_24,U_22,U_19,U_18) )
& ! [U_24,U_22,U_19,U_18] :
( icext(U_22,U_18)
| ~ icext(U_24,U_18)
| ~ sP4(U_24,U_22,U_19,U_18) )
& ! [U_24,U_22,U_19,U_18] :
( ic(U_22)
| ~ sP4(U_24,U_22,U_19,U_18) )
& ! [U_24,U_22,U_19,U_18] :
( ic(U_24)
| ~ sP4(U_24,U_22,U_19,U_18) )
& ! [U_23,U_25] :
( iext(uri_owl_equivalentClass,U_25,U_23)
| sP6(U_23,U_25)
| sP5(U_23,U_25)
| ~ ic(U_23)
| ~ ic(U_25) )
& ! [U_24,U_22,U_19,U_18] :
( sP4(U_24,U_22,U_19,U_18)
| ~ iext(uri_owl_equivalentClass,U_24,U_22) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4,sP5,sP6])],[f_5_5]) ).
cnf(f_5_7,plain,
( sP4(U_24,U_22,U_19,U_18)
| ~ iext(uri_owl_equivalentClass,U_24,U_22) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_11,plain,
( icext(U_22,U_18)
| ~ icext(U_24,U_18)
| ~ sP4(U_24,U_22,U_19,U_18) ),
inference(clausify,[status(thm)],[f_5_6]) ).
fof(f_6_1,plain,
? [BNODE_x,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_031_Large_Universe]) ).
fof(f_6_2,plain,
? [U_27,U_26] :
( iext(uri_rdf_rest,U_26,uri_rdf_nil)
& iext(uri_rdf_first,U_26,uri_ex_w)
& iext(uri_owl_oneOf,U_27,U_26)
& iext(uri_owl_equivalentClass,uri_owl_Thing,U_27) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
? [U_27] :
( ? [U_26] :
( iext(uri_rdf_rest,U_26,uri_rdf_nil)
& iext(uri_rdf_first,U_26,uri_ex_w)
& iext(uri_owl_oneOf,U_27,U_26) )
& iext(uri_owl_equivalentClass,uri_owl_Thing,U_27) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ? [U_26] :
( iext(uri_rdf_rest,U_26,uri_rdf_nil)
& iext(uri_rdf_first,U_26,uri_ex_w)
& iext(uri_owl_oneOf,sK5,U_26) )
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_27,sK5)],[f_6_3]) ).
fof(f_6_5,plain,
( iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_w)
& iext(uri_owl_oneOf,sK5,sK6)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_26,sK6)],[f_6_4]) ).
fof(f_6_6,plain,
( iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_w)
& iext(uri_owl_oneOf,sK5,sK6)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK5) ),
inference(definitional_conversion,[status(esa)],[f_6_5]) ).
cnf(f_6_7,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK5),
inference(clausify,[status(thm)],[f_6_6]) ).
cnf(f_6_8,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(clausify,[status(thm)],[f_6_6]) ).
cnf(f_6_9,plain,
iext(uri_rdf_first,sK6,uri_ex_w),
inference(clausify,[status(thm)],[f_6_6]) ).
cnf(f_6_10,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(clausify,[status(thm)],[f_6_6]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_9,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(t1,plain,
~ icext(uri_owl_Nothing,uri_ex_w),
inference(start,[status(thm),parent(0:0)],[f_3_4]) ).
cnf(t2,plain,
( uri_ex_w != uri_ex_w
| ~ icext(uri_ex_w,uri_ex_w)
| uri_ex_w != uri_owl_Nothing
| icext(uri_owl_Nothing,uri_ex_w) ),
inference(extension,[status(thm),parent(t1:1)],[equality_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( uri_owl_Nothing != uri_ex_w
| uri_ex_w = uri_owl_Nothing ),
inference(extension,[status(thm),parent(t2:2)],[equality_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ icext(sK5,uri_owl_Nothing)
| ~ sP0(uri_ex_w,sK5,U_908,uri_owl_Nothing)
| uri_owl_Nothing = uri_ex_w ),
inference(extension,[status(thm),parent(t4:2)],[f_4_11]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ iext(uri_owl_oneOf,sK5,sK6)
| ~ sP3(uri_ex_w,sK6,sK5,U_908,uri_owl_Nothing)
| sP0(uri_ex_w,sK5,U_908,uri_owl_Nothing) ),
inference(extension,[status(thm),parent(t6:2)],[f_4_8]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK6,uri_ex_w)
| sP3(uri_ex_w,sK6,sK5,U_908,uri_owl_Nothing) ),
inference(extension,[status(thm),parent(t8:2)],[f_4_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
iext(uri_rdf_first,sK6,uri_ex_w),
inference(extension,[status(thm),parent(t10:2)],[f_6_9]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(extension,[status(thm),parent(t10:3)],[f_6_10]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(extension,[status(thm),parent(t8:3)],[f_6_8]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:3]) ).
cnf(t18,plain,
( ~ icext(uri_owl_Thing,uri_owl_Nothing)
| ~ sP4(uri_owl_Thing,sK5,U_916,uri_owl_Nothing)
| icext(sK5,uri_owl_Nothing) ),
inference(extension,[status(thm),parent(t6:3)],[f_5_11]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t6:3]) ).
cnf(t20,plain,
( ~ iext(uri_owl_equivalentClass,uri_owl_Thing,sK5)
| sP4(uri_owl_Thing,sK5,U_916,uri_owl_Nothing) ),
inference(extension,[status(thm),parent(t18:2)],[f_5_7]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK5),
inference(extension,[status(thm),parent(t20:2)],[f_6_7]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ ir(uri_owl_Nothing)
| icext(uri_owl_Thing,uri_owl_Nothing) ),
inference(extension,[status(thm),parent(t18:3)],[f_2_6]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t18:3]) ).
cnf(t26,plain,
ir(uri_owl_Nothing),
inference(extension,[status(thm),parent(t24:2)],[f_1_4]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( U_971 != uri_ex_w
| ~ icext(sK5,U_971)
| sK5 != uri_ex_w
| icext(uri_ex_w,uri_ex_w) ),
inference(extension,[status(thm),parent(t2:3)],[equality_9]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t2:3]) ).
cnf(t30,plain,
( ~ icext(sK5,sK5)
| ~ sP0(uri_ex_w,sK5,U_936,sK5)
| sK5 = uri_ex_w ),
inference(extension,[status(thm),parent(t28:2)],[f_4_11]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ iext(uri_owl_oneOf,sK5,sK6)
| ~ sP3(uri_ex_w,sK6,sK5,U_936,sK5)
| sP0(uri_ex_w,sK5,U_936,sK5) ),
inference(extension,[status(thm),parent(t30:2)],[f_4_8]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK6,uri_ex_w)
| sP3(uri_ex_w,sK6,sK5,U_936,sK5) ),
inference(extension,[status(thm),parent(t32:2)],[f_4_7]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
iext(uri_rdf_first,sK6,uri_ex_w),
inference(extension,[status(thm),parent(t34:2)],[f_6_9]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(extension,[status(thm),parent(t34:3)],[f_6_10]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(extension,[status(thm),parent(t32:3)],[f_6_8]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t32:3]) ).
cnf(t42,plain,
( ~ icext(uri_owl_Thing,sK5)
| ~ sP4(uri_owl_Thing,sK5,U_944,sK5)
| icext(sK5,sK5) ),
inference(extension,[status(thm),parent(t30:3)],[f_5_11]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t30:3]) ).
cnf(t44,plain,
( ~ iext(uri_owl_equivalentClass,uri_owl_Thing,sK5)
| sP4(uri_owl_Thing,sK5,U_944,sK5) ),
inference(extension,[status(thm),parent(t42:2)],[f_5_7]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK5),
inference(extension,[status(thm),parent(t44:2)],[f_6_7]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
( ~ ir(sK5)
| icext(uri_owl_Thing,sK5) ),
inference(extension,[status(thm),parent(t42:3)],[f_2_6]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t42:3]) ).
cnf(t50,plain,
ir(sK5),
inference(extension,[status(thm),parent(t48:2)],[f_1_4]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ icext(uri_owl_Thing,U_971)
| ~ sP4(uri_owl_Thing,sK5,U_954,U_971)
| icext(sK5,U_971) ),
inference(extension,[status(thm),parent(t28:3)],[f_5_11]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t28:3]) ).
cnf(t54,plain,
( ~ iext(uri_owl_equivalentClass,uri_owl_Thing,sK5)
| sP4(uri_owl_Thing,sK5,U_954,U_971) ),
inference(extension,[status(thm),parent(t52:2)],[f_5_7]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK5),
inference(extension,[status(thm),parent(t54:2)],[f_6_7]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
( ~ ir(U_971)
| icext(uri_owl_Thing,U_971) ),
inference(extension,[status(thm),parent(t52:3)],[f_2_6]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t52:3]) ).
cnf(t60,plain,
ir(U_971),
inference(extension,[status(thm),parent(t58:2)],[f_1_4]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(l26,lemma,
icext(sK5,U_971),
inference(lemma,[status(cth),parent(t28:3),below(t2:3)],[t28:3]) ).
cnf(t62,plain,
( ~ icext(sK5,U_971)
| ~ sP0(uri_ex_w,sK5,U_970,U_971)
| U_971 = uri_ex_w ),
inference(extension,[status(thm),parent(t28:4)],[f_4_11]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t28:4]) ).
cnf(t64,plain,
( ~ iext(uri_owl_oneOf,sK5,sK6)
| ~ sP3(uri_ex_w,sK6,sK5,U_970,U_971)
| sP0(uri_ex_w,sK5,U_970,U_971) ),
inference(extension,[status(thm),parent(t62:2)],[f_4_8]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
( ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK6,uri_ex_w)
| sP3(uri_ex_w,sK6,sK5,U_970,U_971) ),
inference(extension,[status(thm),parent(t64:2)],[f_4_7]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
iext(uri_rdf_first,sK6,uri_ex_w),
inference(extension,[status(thm),parent(t66:2)],[f_6_9]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(extension,[status(thm),parent(t66:3)],[f_6_10]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t66:3]) ).
cnf(t72,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(extension,[status(thm),parent(t64:3)],[f_6_8]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t64:3]) ).
cnf(t74,plain,
icext(sK5,U_971),
inference(lemma_extension,[status(thm),parent(t62:3)],[l26:1]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t62:3]) ).
cnf(t76,plain,
( ~ icext(sK5,uri_ex_w)
| ~ sP0(uri_ex_w,sK5,U_984,uri_ex_w)
| uri_ex_w = uri_ex_w ),
inference(extension,[status(thm),parent(t2:4)],[f_4_11]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t2:4]) ).
cnf(t78,plain,
( ~ iext(uri_owl_oneOf,sK5,sK6)
| ~ sP3(uri_ex_w,sK6,sK5,U_984,uri_ex_w)
| sP0(uri_ex_w,sK5,U_984,uri_ex_w) ),
inference(extension,[status(thm),parent(t76:2)],[f_4_8]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
( ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK6,uri_ex_w)
| sP3(uri_ex_w,sK6,sK5,U_984,uri_ex_w) ),
inference(extension,[status(thm),parent(t78:2)],[f_4_7]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t78:2]) ).
cnf(t82,plain,
iext(uri_rdf_first,sK6,uri_ex_w),
inference(extension,[status(thm),parent(t80:2)],[f_6_9]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t80:2]) ).
cnf(t84,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(extension,[status(thm),parent(t80:3)],[f_6_10]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t80:3]) ).
cnf(t86,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(extension,[status(thm),parent(t78:3)],[f_6_8]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t78:3]) ).
cnf(t88,plain,
( ~ icext(uri_owl_Thing,uri_ex_w)
| ~ sP4(uri_owl_Thing,sK5,U_992,uri_ex_w)
| icext(sK5,uri_ex_w) ),
inference(extension,[status(thm),parent(t76:3)],[f_5_11]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t76:3]) ).
cnf(t90,plain,
( ~ iext(uri_owl_equivalentClass,uri_owl_Thing,sK5)
| sP4(uri_owl_Thing,sK5,U_992,uri_ex_w) ),
inference(extension,[status(thm),parent(t88:2)],[f_5_7]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).
cnf(t92,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK5),
inference(extension,[status(thm),parent(t90:2)],[f_6_7]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
( ~ ir(uri_ex_w)
| icext(uri_owl_Thing,uri_ex_w) ),
inference(extension,[status(thm),parent(t88:3)],[f_2_6]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t88:3]) ).
cnf(t96,plain,
ir(uri_ex_w),
inference(extension,[status(thm),parent(t94:2)],[f_1_4]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_UNS_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
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 01:17:19 UTC 2026
% 0.09/0.38 % CPUTime :
% 5.65/5.98 % SZS status Unsatisfiable for theBenchmark
% 5.65/5.98 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------