%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB023+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 : 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 3.28s 21.72s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 58 ( 21 unt; 0 def)
% Number of atoms : 224 ( 45 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 265 ( 99 ~; 97 |; 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(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(f295,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/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).
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(f393,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/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_functional) ).
fof(f559,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(f560,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)],[f559]) ).
fof(f561,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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(f562,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(ennf_transformation,[],[f560]) ).
fof(f571,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,[],[f393]) ).
fof(f572,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| X2 = X3 )
& ip(X0) ) ),
inference(flattening,[],[f571]) ).
fof(f584,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,[],[f295]) ).
fof(f585,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,[],[f584]) ).
fof(f649,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 )
& ( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f354]) ).
fof(f650,plain,
( iext(uri_rdf_rest,sK11,uri_rdf_nil)
& iext(uri_rdf_first,sK11,uri_ex_v)
& iext(uri_rdf_first,sK11,uri_ex_u)
& iext(uri_owl_oneOf,sK10,sK11)
& iext(uri_rdf_type,sK10,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK10)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f561]) ).
fof(f654,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(f657,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,[],[f572]) ).
fof(f658,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,[],[f657]) ).
fof(f659,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,[],[f658]) ).
fof(f660,plain,
! [X0] :
( ( ~ icext(uri_owl_FunctionalProperty,X0)
| ( ! [X4,X5,X6] :
( ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| X5 = X6 )
& ip(X0) ) )
& ( ( iext(X0,sK13(X0),sK15(X0))
& iext(X0,sK13(X0),sK14(X0))
& sK14(X0) != sK15(X0) )
| ~ ip(X0)
| icext(uri_owl_FunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0)),skolemize(X3,sK15(X0))],[f659]) ).
fof(f671,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,[],[f585]) ).
fof(f672,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,[],[f671]) ).
fof(f673,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,[],[f672]) ).
fof(f674,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,sK18(X0,X2))
| sK18(X0,X2) = X2 )
& ( ~ icext(X0,sK18(X0,X2))
| sK18(X0,X2) != X2 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X3,sK18(X0,X2))],[f673]) ).
fof(f734,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[],[f562]) ).
fof(f736,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f649]) ).
fof(f740,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(cnf_transformation,[],[f650]) ).
fof(f741,plain,
iext(uri_rdf_first,sK11,uri_ex_v),
inference(cnf_transformation,[],[f650]) ).
fof(f742,plain,
iext(uri_rdf_first,sK11,uri_ex_u),
inference(cnf_transformation,[],[f650]) ).
fof(f743,plain,
iext(uri_owl_oneOf,sK10,sK11),
inference(cnf_transformation,[],[f650]) ).
fof(f745,plain,
iext(uri_rdf_type,uri_ex_w,sK10),
inference(cnf_transformation,[],[f650]) ).
fof(f746,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f650]) ).
fof(f762,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f654]) ).
fof(f773,plain,
! [X0,X6,X4,X5] :
( ~ icext(uri_owl_FunctionalProperty,X0)
| ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| X5 = X6 ),
inference(cnf_transformation,[],[f660]) ).
fof(f802,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,[],[f674]) ).
fof(f947,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f736]) ).
tcf(c_49,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,[],[f734]) ).
tcf(c_50,plain,
! [X0: $i] : iext(uri_owl_sameAs,X0,X0),
inference(cnf_transformation,[],[f947]) ).
tcf(c_55,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f746]) ).
tcf(c_56,plain,
iext(uri_rdf_type,uri_ex_w,sK10),
inference(cnf_transformation,[],[f745]) ).
tcf(c_58,plain,
iext(uri_owl_oneOf,sK10,sK11),
inference(cnf_transformation,[],[f743]) ).
tcf(c_59,plain,
iext(uri_rdf_first,sK11,uri_ex_u),
inference(cnf_transformation,[],[f742]) ).
tcf(c_60,plain,
iext(uri_rdf_first,sK11,uri_ex_v),
inference(cnf_transformation,[],[f741]) ).
tcf(c_61,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(cnf_transformation,[],[f740]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f762]) ).
tcf(c_92,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,[],[f773]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ icext(X2,X3)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f802]) ).
tcf(c_17848,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(superposition,[status(thm)],[c_55,c_78]) ).
tcf(c_17849,plain,
icext(sK10,uri_ex_w),
inference(superposition,[status(thm)],[c_56,c_78]) ).
tcf(c_18098,plain,
! [X0: $i] :
( ( X0 = uri_ex_v )
| ~ icext(uri_owl_FunctionalProperty,uri_rdf_first)
| ~ iext(uri_rdf_first,sK11,X0) ),
inference(superposition,[status(thm)],[c_60,c_92]) ).
tcf(c_18159,plain,
! [X0: $i] :
( ( X0 = uri_ex_v )
| ~ iext(uri_rdf_first,sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18098,c_17848]) ).
tcf(c_18707,plain,
uri_ex_u = uri_ex_v,
inference(superposition,[status(thm)],[c_59,c_18159]) ).
tcf(c_18711,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(demodulation,[status(thm)],[c_49,c_18707]) ).
tcf(c_21016,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_u )
| ~ icext(X0,X1)
| ~ iext(uri_rdf_rest,sK11,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,sK11) ),
inference(superposition,[status(thm)],[c_59,c_121]) ).
tcf(c_21021,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_u )
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21016,c_61]) ).
tcf(c_24766,plain,
! [X0: $i] :
( ( X0 = uri_ex_u )
| ~ icext(sK10,X0) ),
inference(superposition,[status(thm)],[c_58,c_21021]) ).
tcf(c_25057,plain,
uri_ex_w = uri_ex_u,
inference(superposition,[status(thm)],[c_17849,c_24766]) ).
tcf(c_25169,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
inference(demodulation,[status(thm)],[c_18711,c_25057]) ).
tcf(c_25172,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_25169,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB023+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.03/20.46 % CPULimit : 300
% 0.03/20.46 % WCLimit : 300
% 0.03/20.46 % DateTime : Thu Sep 24 15:32:23 UTC 2026
% 0.03/20.46 % CPUTime :
% 0.03/20.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/20.48 Running first-order theorem proving
% 0.03/20.48 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
% 0.03/20.49
% 0.03/20.49 % ======== iProver multi-core TPTP/SMT =========
% 0.03/20.49
% 0.03/20.49 % Detected problem language: tptp
% 0.18/20.50 % Proving...
% 3.28/21.72 % SZS status Started for theBenchmark.p
% 3.28/21.72 % SZS status Theorem for theBenchmark.p
% 3.28/21.72
% 3.28/21.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.28/21.72
% 3.28/21.72 % ------ iProver source info
% 3.28/21.72
% 3.28/21.72 % git: date: 2026-07-19 20:42:38 +0200
% 3.28/21.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.28/21.72 % git: non_committed_changes: false
% 3.28/21.72
% 3.28/21.72 % ------ Parsing...
% 3.28/21.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.28/21.72
% 3.28/21.72 % ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.28/21.72
% 3.28/21.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.28/21.72
% 3.28/21.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.28/21.72 % ------ Proving...
% 3.28/21.72 % ------ Problem Properties
% 3.28/21.72
% 3.28/21.72 %
% 3.28/21.72 % clauses 181
% 3.28/21.72 % conjectures 1
% 3.28/21.72 % EPR 138
% 3.28/21.72 % Horn 155
% 3.28/21.72 % unary 34
% 3.28/21.72 % binary 46
% 3.28/21.72 % lits 665
% 3.28/21.72 % lits eq 29
% 3.28/21.72 % fd_pure 0
% 3.28/21.72 % fd_pseudo 0
% 3.28/21.72 % fd_cond 0
% 3.28/21.72 % fd_pseudo_cond 9
% 3.28/21.72 % AC symbols 0
% 3.28/21.72
% 3.28/21.72 % ------ Schedule dynamic 5 is on
% 3.28/21.72
% 3.28/21.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.28/21.72
% 3.28/21.72
% 3.28/21.72 % ------
% 3.28/21.72 % Current options:
% 3.28/21.72 % ------
% 3.28/21.72
% 3.28/21.72
% 3.28/21.72 %
% 3.28/21.72
% 3.28/21.72 % ------ Proving...
% 3.28/21.72 %
% 3.28/21.72
% 3.28/21.72 % SZS status Theorem for theBenchmark.p
% 3.28/21.72
% 3.28/21.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/21.72
% 3.28/21.72
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