%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB023+2 : 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 : n011.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 03:04:29 PM UTC 2026
% Result : Theorem 2.97s 1.41s
% Output : CNFRefutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 59 ( 21 unt; 0 def)
% Number of atoms : 226 ( 45 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 268 ( 101 ~; 98 |; 56 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 95 !; 14 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X3 = X2 )
& ic(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f3,axiom,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X1,X3)
& iext(X0,X1,X2) )
=> X2 = X3 )
& ip(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
fof(f4,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f5,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(f6,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_v)
& iext(uri_rdf_first,X1,uri_ex_u)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdf_type,X0,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X0)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X3 = X2 )
& ic(X0) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X3 = X2 )
& ic(X0) ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| X2 = X3 )
& ip(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| X2 = X3 )
& ip(X0) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(ennf_transformation,[],[f6]) ).
fof(f13,plain,
! [X0,X1] :
( ( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) )
& ( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X3] :
( ( ~ icext(X0,X3)
| X3 = X2 )
& ( X2 != X3
| icext(X0,X3) ) )
& ic(X0) ) )
& ( ? [X3] :
( ( icext(X0,X3)
| X3 = X2 )
& ( ~ icext(X0,X3)
| X2 != X3 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X3] :
( ( ~ icext(X0,X3)
| X3 = X2 )
& ( X2 != X3
| icext(X0,X3) ) )
& ic(X0) ) )
& ( ? [X3] :
( ( icext(X0,X3)
| X3 = X2 )
& ( ~ icext(X0,X3)
| X2 != X3 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X4] :
( ( ~ icext(X0,X4)
| X2 = X4 )
& ( X2 != X4
| icext(X0,X4) ) )
& ic(X0) ) )
& ( ? [X3] :
( ( icext(X0,X3)
| X3 = X2 )
& ( ~ icext(X0,X3)
| X2 != X3 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X4] :
( ( ~ icext(X0,X4)
| X2 = X4 )
& ( X2 != X4
| icext(X0,X4) ) )
& ic(X0) ) )
& ( ( ( icext(X0,sK0(X0,X2))
| sK0(X0,X2) = X2 )
& ( ~ icext(X0,sK0(X0,X2))
| sK0(X0,X2) != X2 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f16]) ).
fof(f18,plain,
! [X0] :
( ( ~ icext(uri_owl_FunctionalProperty,X0)
| ( ! [X1,X2,X3] :
( ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| X2 = X3 )
& ip(X0) ) )
& ( ? [X1,X2,X3] :
( iext(X0,X1,X3)
& iext(X0,X1,X2)
& X2 != X3 )
| ~ ip(X0)
| icext(uri_owl_FunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f19,plain,
! [X0] :
( ( ~ icext(uri_owl_FunctionalProperty,X0)
| ( ! [X1,X2,X3] :
( ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| X2 = X3 )
& ip(X0) ) )
& ( ? [X1,X2,X3] :
( iext(X0,X1,X3)
& iext(X0,X1,X2)
& X2 != X3 )
| ~ ip(X0)
| icext(uri_owl_FunctionalProperty,X0) ) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0] :
( ( ~ icext(uri_owl_FunctionalProperty,X0)
| ( ! [X4,X5,X6] :
( ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| X5 = X6 )
& ip(X0) ) )
& ( ? [X1,X2,X3] :
( iext(X0,X1,X3)
& iext(X0,X1,X2)
& X2 != X3 )
| ~ ip(X0)
| icext(uri_owl_FunctionalProperty,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ( ~ icext(uri_owl_FunctionalProperty,X0)
| ( ! [X4,X5,X6] :
( ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| X5 = X6 )
& ip(X0) ) )
& ( ( iext(X0,sK1(X0),sK3(X0))
& iext(X0,sK1(X0),sK2(X0))
& sK2(X0) != sK3(X0) )
| ~ ip(X0)
| icext(uri_owl_FunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0))],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 )
& ( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f23,plain,
( iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_first,sK5,uri_ex_v)
& iext(uri_rdf_first,sK5,uri_ex_u)
& iext(uri_owl_oneOf,sK4,sK5)
& iext(uri_rdf_type,sK4,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK4)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X4)
| X2 = X4 ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X6,X4,X5] :
( ~ icext(uri_owl_FunctionalProperty,X0)
| ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| X5 = X6 ),
inference(cnf_transformation,[],[f21]) ).
fof(f37,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
iext(uri_rdf_first,sK5,uri_ex_v),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
iext(uri_rdf_first,sK5,uri_ex_u),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
iext(uri_owl_oneOf,sK4,sK5),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
iext(uri_rdf_type,uri_ex_w,sK4),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f23]) ).
fof(f47,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f37]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ icext(X0,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ icext(uri_owl_FunctionalProperty,X0)
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_61,plain,
! [X0: $i] : iext(uri_owl_sameAs,X0,X0),
inference(cnf_transformation,[],[f47]) ).
tcf(c_63,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_64,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f45]) ).
tcf(c_65,plain,
iext(uri_rdf_type,uri_ex_w,sK4),
inference(cnf_transformation,[],[f44]) ).
tcf(c_67,plain,
iext(uri_owl_oneOf,sK4,sK5),
inference(cnf_transformation,[],[f42]) ).
tcf(c_68,plain,
iext(uri_rdf_first,sK5,uri_ex_u),
inference(cnf_transformation,[],[f41]) ).
tcf(c_69,plain,
iext(uri_rdf_first,sK5,uri_ex_v),
inference(cnf_transformation,[],[f40]) ).
tcf(c_70,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f39]) ).
tcf(c_1238,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_1486,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(superposition,[status(thm)],[c_64,c_50]) ).
tcf(c_1487,plain,
icext(sK4,uri_ex_w),
inference(superposition,[status(thm)],[c_65,c_50]) ).
tcf(c_1561,plain,
! [X0: $i] :
( ( X0 = uri_ex_v )
| ~ icext(uri_owl_FunctionalProperty,uri_rdf_first)
| ~ iext(uri_rdf_first,sK5,X0) ),
inference(superposition,[status(thm)],[c_69,c_60]) ).
tcf(c_1566,plain,
! [X0: $i] :
( ( X0 = uri_ex_v )
| ~ iext(uri_rdf_first,sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1561,c_1486]) ).
tcf(c_1602,plain,
uri_ex_u = uri_ex_v,
inference(superposition,[status(thm)],[c_68,c_1566]) ).
tcf(c_1608,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(demodulation,[status(thm)],[c_1238,c_1602]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_u )
| ~ icext(X0,X1)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,sK5) ),
inference(superposition,[status(thm)],[c_68,c_55]) ).
tcf(c_1620,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_u )
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1619,c_70]) ).
tcf(c_1740,plain,
! [X0: $i] :
( ( X0 = uri_ex_u )
| ~ icext(sK4,X0) ),
inference(superposition,[status(thm)],[c_67,c_1620]) ).
tcf(c_1748,plain,
uri_ex_w = uri_ex_u,
inference(superposition,[status(thm)],[c_1487,c_1740]) ).
tcf(c_1754,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
inference(demodulation,[status(thm)],[c_1608,c_1748]) ).
tcf(c_1760,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1754,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.43 % Computer : n011.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Thu Sep 24 15:31:58 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.49 Running first-order theorem proving
% 0.18/0.49 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
% 0.23/0.51
% 0.23/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.51
% 0.23/0.51 % Detected problem language: tptp
% 0.23/0.52 % Proving...
% 2.97/1.41 % SZS status Started for theBenchmark.p
% 2.97/1.41 % SZS status Theorem for theBenchmark.p
% 2.97/1.41
% 2.97/1.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.97/1.41
% 2.97/1.41 % ------ iProver source info
% 2.97/1.41
% 2.97/1.41 % git: date: 2026-07-19 20:42:38 +0200
% 2.97/1.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.97/1.41 % git: non_committed_changes: false
% 2.97/1.41
% 2.97/1.41 % ------ Parsing...
% 2.97/1.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.97/1.41
% 2.97/1.41 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.97/1.41
% 2.97/1.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.97/1.41
% 2.97/1.41 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.97/1.41 % ------ Proving...
% 2.97/1.41 % ------ Problem Properties
% 2.97/1.41
% 2.97/1.41 %
% 2.97/1.41 % clauses 18
% 2.97/1.41 % conjectures 1
% 2.97/1.41 % EPR 16
% 2.97/1.41 % Horn 17
% 2.97/1.41 % unary 8
% 2.97/1.41 % binary 4
% 2.97/1.41 % lits 45
% 2.97/1.41 % lits eq 5
% 2.97/1.41 % fd_pure 0
% 2.97/1.41 % fd_pseudo 0
% 2.97/1.41 % fd_cond 0
% 2.97/1.41 % fd_pseudo_cond 3
% 2.97/1.41 % AC symbols 0
% 2.97/1.41
% 2.97/1.41 % ------ Schedule dynamic 5 is on
% 2.97/1.41
% 2.97/1.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.97/1.41
% 2.97/1.41
% 2.97/1.41 % ------
% 2.97/1.41 % Current options:
% 2.97/1.41 % ------
% 2.97/1.41
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% 2.97/1.41
% 2.97/1.41 % ------ Proving...
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% 2.97/1.41 % SZS status Theorem for theBenchmark.p
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% 2.97/1.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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