%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB017+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 : n007.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 09:00:58 AM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_differentfrom,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ),
file('theBenchmark.p',owl_eqdis_differentfrom) ).
fof(owl_eqdis_propertydisjointwith,axiom,
! [P1,P2] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ! [X,Y] :
~ ( iext(P2,X,Y)
& iext(P1,X,Y) )
& ip(P2)
& ip(P1) ) ),
file('theBenchmark.p',owl_eqdis_propertydisjointwith) ).
fof(testcase_conclusion_fullish_017_Built_in_Based_Definitions,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).
fof(testcase_premise_fullish_017_Built_in_Based_Definitions,axiom,
( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
file('theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).
fof(f_1_1,plain,
! [X,Y] :
( ( iext(uri_owl_differentFrom,X,Y)
| X = Y )
& ( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(fof_nnf,[status(thm)],[owl_eqdis_differentfrom]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ( iext(uri_owl_differentFrom,U_1,U_0)
| U_1 = U_0 )
& ( U_1 != U_0
| ~ iext(uri_owl_differentFrom,U_1,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_5,U_3] :
( iext(uri_owl_differentFrom,U_5,U_3)
| U_5 = U_3 )
& ! [U_4,U_2] :
( U_4 != U_2
| ~ iext(uri_owl_differentFrom,U_4,U_2) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( U_4 != U_2
| ~ iext(uri_owl_differentFrom,U_4,U_2) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
( iext(uri_owl_differentFrom,U_5,U_3)
| U_5 = U_3 ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [P1,P2] :
( ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ? [X,Y] :
( iext(P2,X,Y)
& iext(P1,X,Y) )
| ~ ip(P2)
| ~ ip(P1) )
& ( ( ! [X,Y] :
( ~ iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
inference(fof_nnf,[status(thm)],[owl_eqdis_propertydisjointwith]) ).
fof(f_2_2,plain,
! [U_11,U_10] :
( ( iext(uri_owl_propertyDisjointWith,U_11,U_10)
| ? [U_9,U_8] :
( iext(U_10,U_9,U_8)
& iext(U_11,U_9,U_8) )
| ~ ip(U_10)
| ~ ip(U_11) )
& ( ( ! [U_7,U_6] :
( ~ iext(U_10,U_7,U_6)
| ~ iext(U_11,U_7,U_6) )
& ip(U_10)
& ip(U_11) )
| ~ iext(uri_owl_propertyDisjointWith,U_11,U_10) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_15,U_13] :
( iext(uri_owl_propertyDisjointWith,U_15,U_13)
| ? [U_9,U_8] :
( iext(U_13,U_9,U_8)
& iext(U_15,U_9,U_8) )
| ~ ip(U_13)
| ~ ip(U_15) )
& ! [U_14,U_12] :
( ( ! [U_7,U_6] :
( ~ iext(U_12,U_7,U_6)
| ~ iext(U_14,U_7,U_6) )
& ip(U_12)
& ip(U_14) )
| ~ iext(uri_owl_propertyDisjointWith,U_14,U_12) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_15,U_13] :
( iext(uri_owl_propertyDisjointWith,U_15,U_13)
| ? [U_8] :
( iext(U_13,sK1(U_15,U_13),U_8)
& iext(U_15,sK1(U_15,U_13),U_8) )
| ~ ip(U_13)
| ~ ip(U_15) )
& ! [U_14,U_12] :
( ( ! [U_7,U_6] :
( ~ iext(U_12,U_7,U_6)
| ~ iext(U_14,U_7,U_6) )
& ip(U_12)
& ip(U_14) )
| ~ iext(uri_owl_propertyDisjointWith,U_14,U_12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_9,sK1(U_15,U_13))],[f_2_3]) ).
fof(f_2_5,plain,
( ! [U_15,U_13] :
( iext(uri_owl_propertyDisjointWith,U_15,U_13)
| ( iext(U_13,sK1(U_15,U_13),sK2(U_15,U_13))
& iext(U_15,sK1(U_15,U_13),sK2(U_15,U_13)) )
| ~ ip(U_13)
| ~ ip(U_15) )
& ! [U_14,U_12] :
( ( ! [U_7,U_6] :
( ~ iext(U_12,U_7,U_6)
| ~ iext(U_14,U_7,U_6) )
& ip(U_12)
& ip(U_14) )
| ~ iext(uri_owl_propertyDisjointWith,U_14,U_12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_8,sK2(U_15,U_13))],[f_2_4]) ).
cnf(f_2_6,plain,
( ip(U_14)
| ~ iext(uri_owl_propertyDisjointWith,U_14,U_12) ),
inference(clausify,[status(thm)],[f_2_5]) ).
cnf(f_2_7,plain,
( ip(U_12)
| ~ iext(uri_owl_propertyDisjointWith,U_14,U_12) ),
inference(clausify,[status(thm)],[f_2_5]) ).
cnf(f_2_8,plain,
( ~ iext(U_12,U_7,U_6)
| ~ iext(U_14,U_7,U_6)
| ~ iext(uri_owl_propertyDisjointWith,U_14,U_12) ),
inference(clausify,[status(thm)],[f_2_5]) ).
cnf(f_2_9,plain,
( iext(U_15,sK1(U_15,U_13),sK2(U_15,U_13))
| ~ ip(U_13)
| ~ ip(U_15)
| iext(uri_owl_propertyDisjointWith,U_15,U_13) ),
inference(clausify,[status(thm)],[f_2_5]) ).
cnf(f_2_10,plain,
( iext(U_13,sK1(U_15,U_13),sK2(U_15,U_13))
| ~ ip(U_13)
| ~ ip(U_15)
| iext(uri_owl_propertyDisjointWith,U_15,U_13) ),
inference(clausify,[status(thm)],[f_2_5]) ).
fof(f_3_1,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(negate,[status(cth)],[testcase_conclusion_fullish_017_Built_in_Based_Definitions]) ).
fof(f_3_2,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(definitional_conversion,[status(esa)],[f_3_1]) ).
cnf(f_3_3,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).
cnf(f_4_2,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(clausify,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(clausify,[status(thm)],[f_4_1]) ).
cnf(f_4_4,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(clausify,[status(thm)],[f_4_1]) ).
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) = sK1(Eq_y_0,Eq_y_1)
| 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) = sK2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,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_7,axiom,
( ip(Eq_y_0)
| ~ ip(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
% 0.00/0.02 % Problem : SWB017+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 01:06:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------