%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB097+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 03:04:39 PM UTC 2026
% Result : Theorem 4.38s 1.30s
% Output : CNFRefutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 127 ( 57 ~; 49 |; 16 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 61 ( 0 sgn 56 !; 5 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
fof(f337,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_onClass,X0,X2)
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_restrict_minqcr_object_001) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_ex_p,uri_ex_w,uri_ex_x)
& iext(uri_rdf_type,uri_ex_x,uri_ex_c)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f572,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(flattening,[],[f560]) ).
fof(f781,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ) ),
inference(ennf_transformation,[],[f337]) ).
fof(f782,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ) ),
inference(flattening,[],[f781]) ).
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(f1290,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ! [X3] :
( ( ~ icext(X0,X3)
| ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
& ( ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) )
| icext(X0,X3) ) ) ),
inference(nnf_transformation,[],[f782]) ).
fof(f1291,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ! [X3] :
( ( ~ icext(X0,X3)
| ? [X5] :
( icext(X2,X5)
& iext(X1,X3,X5) ) )
& ( ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) )
| icext(X0,X3) ) ) ),
inference(rectify,[],[f1290]) ).
fof(f1292,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ! [X3] :
( ( ~ icext(X0,X3)
| ( icext(X2,sK156(X1,X2,X3))
& iext(X1,X3,sK156(X1,X2,X3)) ) )
& ( ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) )
| icext(X0,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK156]),skolemize(X5,sK156(X1,X2,X3))],[f1291]) ).
fof(f1485,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f1061]) ).
fof(f1486,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f1061]) ).
fof(f2277,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X2,X4)
| ~ iext(X1,X3,X4)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f1292]) ).
fof(f2749,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[],[f572]) ).
fof(f2750,plain,
iext(uri_ex_p,uri_ex_w,uri_ex_x),
inference(cnf_transformation,[],[f561]) ).
fof(f2751,plain,
iext(uri_rdf_type,uri_ex_x,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f2752,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f2753,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f2754,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f561]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ),
inference(cnf_transformation,[],[f1486]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f1485]) ).
tcf(c_864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X0,X2)
| ~ icext(X4,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X4)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(cnf_transformation,[],[f2277]) ).
tcf(c_1326,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[],[f2749]) ).
tcf(c_1327,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f2754]) ).
tcf(c_1328,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f2753]) ).
tcf(c_1329,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[],[f2752]) ).
tcf(c_1330,plain,
iext(uri_rdf_type,uri_ex_x,uri_ex_c),
inference(cnf_transformation,[],[f2751]) ).
tcf(c_1331,plain,
iext(uri_ex_p,uri_ex_w,uri_ex_x),
inference(cnf_transformation,[],[f2750]) ).
tcf(c_1356,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(superposition,[status(thm)],[c_74,c_1326]) ).
tcf(c_2075,plain,
icext(uri_ex_c,uri_ex_x),
inference(superposition,[status(thm)],[c_1330,c_75]) ).
tcf(c_2259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(uri_ex_z,X1)
| ~ icext(X3,X2)
| ~ iext(uri_owl_onProperty,uri_ex_z,X0)
| ~ iext(uri_owl_onClass,uri_ex_z,X3)
| ~ iext(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1327,c_864]) ).
tcf(c_2614,plain,
! [X0: $i] :
( icext(uri_ex_z,uri_ex_w)
| ~ icext(X0,uri_ex_x)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(superposition,[status(thm)],[c_1331,c_2259]) ).
tcf(c_2839,plain,
! [X0: $i] :
( ~ iext(uri_owl_onClass,uri_ex_z,X0)
| ~ icext(X0,uri_ex_x) ),
inference(global_subsumption_just,[status(thm)],[c_2614,c_1356,c_1328,c_2614]) ).
tcf(c_2840,plain,
! [X0: $i] :
( ~ icext(X0,uri_ex_x)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(renaming,[status(thm)],[c_2839]) ).
tcf(c_2846,plain,
~ icext(uri_ex_c,uri_ex_x),
inference(superposition,[status(thm)],[c_1329,c_2840]) ).
tcf(c_2847,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2075,c_2846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB097+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 15:48:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43
% 0.15/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.43
% 0.15/0.43 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 4.38/1.30 % SZS status Started for theBenchmark.p
% 4.38/1.30 % SZS status Theorem for theBenchmark.p
% 4.38/1.30
% 4.38/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.38/1.30
% 4.38/1.30 % ------ iProver source info
% 4.38/1.30
% 4.38/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.38/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.38/1.30 % git: non_committed_changes: false
% 4.38/1.30
% 4.38/1.30 % ------ Parsing...
% 4.38/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.38/1.30 % ------ Proving...
% 4.38/1.30 % ------ Problem Properties
% 4.38/1.30
% 4.38/1.30 %
% 4.38/1.30 % clauses 1283
% 4.38/1.30 % conjectures 1
% 4.38/1.30 % EPR 821
% 4.38/1.30 % Horn 1008
% 4.38/1.30 % unary 212
% 4.38/1.30 % binary 547
% 4.38/1.30 % lits 4064
% 4.38/1.30 % lits eq 197
% 4.38/1.30 % fd_pure 0
% 4.38/1.30 % fd_pseudo 0
% 4.38/1.30 % fd_cond 0
% 4.38/1.30 % fd_pseudo_cond 66
% 4.38/1.30 % AC symbols 0
% 4.38/1.30
% 4.38/1.30 % ------ Input Options Time Limit: Unbounded
% 4.38/1.30
% 4.38/1.30
% 4.38/1.30 % ------
% 4.38/1.30 % Current options:
% 4.38/1.30 % ------
% 4.38/1.30
% 4.38/1.30
% 4.38/1.30 %
% 4.38/1.30
% 4.38/1.30 % ------ Proving...
% 4.38/1.30 %
% 4.38/1.30
% 4.38/1.30 % ------ Proving...
% 4.38/1.30 %
% 4.38/1.30
% 4.38/1.30 % ------ Proving...
% 4.38/1.30 %
% 4.38/1.30
% 4.38/1.30 % ------ Proving...
% 4.38/1.30 %
% 4.38/1.30
% 4.38/1.30 % ------ Proving...
% 4.38/1.30 %
% 4.38/1.30
% 4.38/1.30 % ------ Proving...
% 4.38/1.30 %
% 4.38/1.30
% 4.38/1.30 % ------ Proving...
% 4.38/1.30 %
% 4.38/1.30
% 4.38/1.30 % SZS status Theorem for theBenchmark.p
% 4.38/1.30
% 4.38/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.38/1.30
% 4.38/1.30
%------------------------------------------------------------------------------