%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB056+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 03:04:35 PM UTC 2026
% Result : Theorem 4.13s 1.27s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 27 unt; 0 def)
% Number of atoms : 224 ( 66 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 273 ( 105 ~; 113 |; 45 &)
% ( 9 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 95 !; 5 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
fof(f296,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X5 = X4
| X5 = X2 ) )
& ic(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_002) ).
fof(f345,axiom,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
<=> X0 != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).
fof(f354,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_enum_inst_closed) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_y)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X0)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_rdf_type,uri_ex_z,uri_ex_e) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_enum_inst_closed) ).
fof(f572,plain,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(flattening,[],[f560]) ).
fof(f699,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X5 = X4
| X5 = X2 ) )
& ic(X0) ) ) ),
inference(ennf_transformation,[],[f296]) ).
fof(f700,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X5 = X4
| X5 = X2 ) )
& ic(X0) ) ) ),
inference(flattening,[],[f699]) ).
fof(f1061,plain,
! [X0,X1] :
( ( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) )
& ( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f1143,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ( X4 != X5
& X2 != X5 )
| icext(X0,X5) ) )
& ic(X0) ) )
& ( ? [X5] :
( ( icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ~ icext(X0,X5)
| ( X4 != X5
& X2 != X5 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f700]) ).
fof(f1144,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ( X4 != X5
& X2 != X5 )
| icext(X0,X5) ) )
& ic(X0) ) )
& ( ? [X5] :
( ( icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ~ icext(X0,X5)
| ( X4 != X5
& X2 != X5 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(flattening,[],[f1143]) ).
fof(f1145,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X6] :
( ( ~ icext(X0,X6)
| X4 = X6
| X2 = X6 )
& ( ( X4 != X6
& X2 != X6 )
| icext(X0,X6) ) )
& ic(X0) ) )
& ( ? [X5] :
( ( icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ~ icext(X0,X5)
| ( X4 != X5
& X2 != X5 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(rectify,[],[f1144]) ).
fof(f1146,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X6] :
( ( ~ icext(X0,X6)
| X4 = X6
| X2 = X6 )
& ( ( X4 != X6
& X2 != X6 )
| icext(X0,X6) ) )
& ic(X0) ) )
& ( ( ( icext(X0,sK63(X0,X2,X4))
| sK63(X0,X2,X4) = X4
| sK63(X0,X2,X4) = X2 )
& ( ~ icext(X0,sK63(X0,X2,X4))
| ( sK63(X0,X2,X4) != X4
& sK63(X0,X2,X4) != X2 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X5,sK63(X0,X2,X4))],[f1145]) ).
fof(f1320,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_differentFrom,X0,X1)
| X0 != X1 )
& ( X0 = X1
| iext(uri_owl_differentFrom,X0,X1) ) ),
inference(nnf_transformation,[],[f345]) ).
fof(f1362,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 )
& ( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f354]) ).
fof(f1460,plain,
( iext(uri_rdf_rest,sK252,uri_rdf_nil)
& iext(uri_rdf_first,sK252,uri_ex_y)
& iext(uri_rdf_rest,sK251,sK252)
& iext(uri_rdf_first,sK251,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,sK251)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_rdf_type,uri_ex_z,uri_ex_e) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK251,sK252]),skolemize(X0,sK251),skolemize(X1,sK252)],[f561]) ).
fof(f1486,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f1061]) ).
fof(f1922,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X6)
| X4 = X6
| X2 = X6 ),
inference(cnf_transformation,[],[f1146]) ).
fof(f2321,plain,
! [X0,X1] :
( ~ iext(uri_owl_differentFrom,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f1320]) ).
fof(f2398,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f1362]) ).
fof(f2750,plain,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(cnf_transformation,[],[f572]) ).
fof(f2751,plain,
iext(uri_rdf_rest,sK252,uri_rdf_nil),
inference(cnf_transformation,[],[f1460]) ).
fof(f2752,plain,
iext(uri_rdf_first,sK252,uri_ex_y),
inference(cnf_transformation,[],[f1460]) ).
fof(f2753,plain,
iext(uri_rdf_rest,sK251,sK252),
inference(cnf_transformation,[],[f1460]) ).
fof(f2754,plain,
iext(uri_rdf_first,sK251,uri_ex_x),
inference(cnf_transformation,[],[f1460]) ).
fof(f2755,plain,
iext(uri_owl_oneOf,uri_ex_e,sK251),
inference(cnf_transformation,[],[f1460]) ).
fof(f2756,plain,
iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x),
inference(cnf_transformation,[],[f1460]) ).
fof(f2757,plain,
iext(uri_rdf_type,uri_ex_z,uri_ex_e),
inference(cnf_transformation,[],[f1460]) ).
fof(f2764,plain,
! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
inference(equality_resolution,[],[f2321]) ).
fof(f2765,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f2398]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f1486]) ).
tcf(c_516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ( X1 = X5 )
| ~ icext(X4,X5)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f1922]) ).
tcf(c_910,plain,
! [X0: $i] : ~ iext(uri_owl_differentFrom,X0,X0),
inference(cnf_transformation,[],[f2764]) ).
tcf(c_981,plain,
! [X0: $i] : iext(uri_owl_sameAs,X0,X0),
inference(cnf_transformation,[],[f2765]) ).
tcf(c_1326,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(cnf_transformation,[],[f2750]) ).
tcf(c_1327,plain,
iext(uri_rdf_type,uri_ex_z,uri_ex_e),
inference(cnf_transformation,[],[f2757]) ).
tcf(c_1328,plain,
iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x),
inference(cnf_transformation,[],[f2756]) ).
tcf(c_1329,plain,
iext(uri_owl_oneOf,uri_ex_e,sK251),
inference(cnf_transformation,[],[f2755]) ).
tcf(c_1330,plain,
iext(uri_rdf_first,sK251,uri_ex_x),
inference(cnf_transformation,[],[f2754]) ).
tcf(c_1331,plain,
iext(uri_rdf_rest,sK251,sK252),
inference(cnf_transformation,[],[f2753]) ).
tcf(c_1332,plain,
iext(uri_rdf_first,sK252,uri_ex_y),
inference(cnf_transformation,[],[f2752]) ).
tcf(c_1333,plain,
iext(uri_rdf_rest,sK252,uri_rdf_nil),
inference(cnf_transformation,[],[f2751]) ).
tcf(c_1597,plain,
icext(uri_ex_e,uri_ex_z),
inference(superposition,[status(thm)],[c_1327,c_75]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X1 = X4 )
| ~ icext(X2,X4)
| ~ iext(uri_rdf_rest,X0,sK252)
| ~ iext(uri_rdf_first,sK252,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_1333,c_516]) ).
tcf(c_1881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = uri_ex_x )
| ( X0 = X2 )
| ~ icext(X1,X2)
| ~ iext(uri_rdf_rest,sK251,sK252)
| ~ iext(uri_owl_oneOf,X1,sK251)
| ~ iext(uri_rdf_first,sK252,X0) ),
inference(superposition,[status(thm)],[c_1330,c_1750]) ).
tcf(c_2005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = uri_ex_x )
| ( X0 = X2 )
| ~ icext(X1,X2)
| ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_owl_oneOf,X1,sK251) ),
inference(global_subsumption_just,[status(thm)],[c_1881,c_1331,c_1881]) ).
tcf(c_2006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = uri_ex_x )
| ( X0 = X2 )
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,sK251)
| ~ iext(uri_rdf_first,sK252,X0) ),
inference(renaming,[status(thm)],[c_2005]) ).
tcf(c_2018,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_x )
| ( X1 = uri_ex_y )
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK251) ),
inference(superposition,[status(thm)],[c_1332,c_2006]) ).
tcf(c_2083,plain,
! [X0: $i] :
( ( X0 = uri_ex_x )
| ( X0 = uri_ex_y )
| ~ icext(uri_ex_e,X0) ),
inference(superposition,[status(thm)],[c_1329,c_2018]) ).
tcf(c_2100,plain,
( ( uri_ex_z = uri_ex_x )
| ( uri_ex_z = uri_ex_y ) ),
inference(superposition,[status(thm)],[c_1597,c_2083]) ).
tcf(c_2110,plain,
( iext(uri_owl_differentFrom,uri_ex_z,uri_ex_z)
| ( uri_ex_z = uri_ex_y ) ),
inference(superposition,[status(thm)],[c_2100,c_1328]) ).
tcf(c_2172,plain,
uri_ex_z = uri_ex_y,
inference(forward_subsumption_resolution,[status(thm)],[c_2110,c_910]) ).
tcf(c_2174,plain,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_z),
inference(superposition,[status(thm)],[c_2172,c_1326]) ).
tcf(c_2351,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2174,c_981]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB056+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 15:43:33 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.39 Running first-order theorem proving
% 0.04/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.40
% 0.04/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.40
% 0.04/0.40 % Detected problem language: tptp
% 0.04/0.42 % Proving...
% 4.13/1.27 % SZS status Started for theBenchmark.p
% 4.13/1.27 % SZS status Theorem for theBenchmark.p
% 4.13/1.27
% 4.13/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.13/1.27
% 4.13/1.27 % ------ iProver source info
% 4.13/1.27
% 4.13/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.13/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.13/1.27 % git: non_committed_changes: false
% 4.13/1.27
% 4.13/1.27 % ------ Parsing...
% 4.13/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 % ------ Problem Properties
% 4.13/1.27
% 4.13/1.27 %
% 4.13/1.27 % clauses 1285
% 4.13/1.27 % conjectures 1
% 4.13/1.27 % EPR 824
% 4.13/1.27 % Horn 1010
% 4.13/1.27 % unary 214
% 4.13/1.27 % binary 547
% 4.13/1.27 % lits 4066
% 4.13/1.27 % lits eq 197
% 4.13/1.27 % fd_pure 0
% 4.13/1.27 % fd_pseudo 0
% 4.13/1.27 % fd_cond 0
% 4.13/1.27 % fd_pseudo_cond 66
% 4.13/1.27 % AC symbols 0
% 4.13/1.27
% 4.13/1.27 % ------ Input Options Time Limit: Unbounded
% 4.13/1.27
% 4.13/1.27
% 4.13/1.27 % ------
% 4.13/1.27 % Current options:
% 4.13/1.27 % ------
% 4.13/1.27
% 4.13/1.27
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % SZS status Theorem for theBenchmark.p
% 4.13/1.27
% 4.13/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.27
% 4.13/1.27
%------------------------------------------------------------------------------