TSTP Solution File: SWB023+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWB023+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:09:19 EDT 2023
% Result : Theorem 138.45s 19.35s
% Output : CNFRefutation 138.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 18 unt; 0 def)
% Number of atoms : 212 ( 37 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 240 ( 84 ~; 82 |; 58 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn; 62 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X3,X4] :
( iext(uri_rdf_type,X3,X4)
<=> icext(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f295,axiom,
! [X10,X11,X20] :
( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_first,X11,X20) )
=> ( iext(uri_owl_oneOf,X10,X11)
<=> ( ! [X3] :
( icext(X10,X3)
<=> X3 = X20 )
& ic(X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f354,axiom,
! [X3,X6] :
( iext(uri_owl_sameAs,X3,X6)
<=> X3 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
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/sandbox2/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,[],[f559]) ).
fof(f561,axiom,
? [X41,X42] :
( iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_rdf_first,X42,uri_ex_v)
& iext(uri_rdf_first,X42,uri_ex_u)
& iext(uri_owl_oneOf,X41,X42)
& iext(uri_rdf_type,X41,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X41)
& 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(f565,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f706,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)
<=> X2 = X3 )
& ic(X0) ) ) ),
inference(rectify,[],[f295]) ).
fof(f765,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f354]) ).
fof(f920,plain,
? [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) ),
inference(rectify,[],[f561]) ).
fof(f1045,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f706]) ).
fof(f1046,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1045]) ).
fof(f1329,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(f1410,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f565]) ).
fof(f1498,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(nnf_transformation,[],[f1046]) ).
fof(f1499,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1498]) ).
fof(f1500,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(rectify,[],[f1499]) ).
fof(f1501,plain,
! [X0,X2] :
( ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
=> ( ( sK62(X0,X2) != X2
| ~ icext(X0,sK62(X0,X2)) )
& ( sK62(X0,X2) = X2
| icext(X0,sK62(X0,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1502,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ( ( sK62(X0,X2) != X2
| ~ icext(X0,sK62(X0,X2)) )
& ( sK62(X0,X2) = X2
| icext(X0,sK62(X0,X2)) ) )
| ~ ic(X0) )
& ( ( ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f1500,f1501]) ).
fof(f1780,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f765]) ).
fof(f1920,plain,
( ? [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) )
=> ( iext(uri_rdf_rest,sK252,uri_rdf_nil)
& iext(uri_rdf_first,sK252,uri_ex_v)
& iext(uri_rdf_first,sK252,uri_ex_u)
& iext(uri_owl_oneOf,sK251,sK252)
& iext(uri_rdf_type,sK251,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK251)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ) ),
introduced(choice_axiom,[]) ).
fof(f1921,plain,
( iext(uri_rdf_rest,sK252,uri_rdf_nil)
& iext(uri_rdf_first,sK252,uri_ex_v)
& iext(uri_rdf_first,sK252,uri_ex_u)
& iext(uri_owl_oneOf,sK251,sK252)
& iext(uri_rdf_type,sK251,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK251)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK251,sK252])],[f920,f1920]) ).
fof(f1947,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f1410]) ).
fof(f2379,plain,
! [X2,X0,X1,X4] :
( X2 = X4
| ~ icext(X0,X4)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f1502]) ).
fof(f2380,plain,
! [X2,X0,X1,X4] :
( icext(X0,X4)
| X2 != X4
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f1502]) ).
fof(f2859,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f1780]) ).
fof(f3211,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[],[f1329]) ).
fof(f3213,plain,
iext(uri_rdf_type,uri_ex_w,sK251),
inference(cnf_transformation,[],[f1921]) ).
fof(f3215,plain,
iext(uri_owl_oneOf,sK251,sK252),
inference(cnf_transformation,[],[f1921]) ).
fof(f3216,plain,
iext(uri_rdf_first,sK252,uri_ex_u),
inference(cnf_transformation,[],[f1921]) ).
fof(f3217,plain,
iext(uri_rdf_first,sK252,uri_ex_v),
inference(cnf_transformation,[],[f1921]) ).
fof(f3218,plain,
iext(uri_rdf_rest,sK252,uri_rdf_nil),
inference(cnf_transformation,[],[f1921]) ).
fof(f3219,plain,
! [X0,X1,X4] :
( icext(X0,X4)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X4) ),
inference(equality_resolution,[],[f2380]) ).
fof(f3226,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f2859]) ).
cnf(c_75,plain,
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f1947]) ).
cnf(c_507,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| icext(X2,X1) ),
inference(cnf_transformation,[],[f3219]) ).
cnf(c_508,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ icext(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f2379]) ).
cnf(c_981,plain,
iext(uri_owl_sameAs,X0,X0),
inference(cnf_transformation,[],[f3226]) ).
cnf(c_1326,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,[],[f3211]) ).
cnf(c_1327,plain,
iext(uri_rdf_rest,sK252,uri_rdf_nil),
inference(cnf_transformation,[],[f3218]) ).
cnf(c_1328,plain,
iext(uri_rdf_first,sK252,uri_ex_v),
inference(cnf_transformation,[],[f3217]) ).
cnf(c_1329,plain,
iext(uri_rdf_first,sK252,uri_ex_u),
inference(cnf_transformation,[],[f3216]) ).
cnf(c_1330,plain,
iext(uri_owl_oneOf,sK251,sK252),
inference(cnf_transformation,[],[f3215]) ).
cnf(c_1332,plain,
iext(uri_rdf_type,uri_ex_w,sK251),
inference(cnf_transformation,[],[f3213]) ).
cnf(c_3546,plain,
icext(sK251,uri_ex_w),
inference(superposition,[status(thm)],[c_1332,c_75]) ).
cnf(c_3550,plain,
( ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_owl_oneOf,X1,sK252)
| icext(X1,X0) ),
inference(superposition,[status(thm)],[c_1327,c_507]) ).
cnf(c_3599,plain,
( ~ iext(uri_owl_oneOf,X0,sK252)
| icext(X0,uri_ex_u) ),
inference(superposition,[status(thm)],[c_1329,c_3550]) ).
cnf(c_3611,plain,
icext(sK251,uri_ex_u),
inference(superposition,[status(thm)],[c_1330,c_3599]) ).
cnf(c_3612,plain,
( ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_owl_oneOf,X1,sK252)
| ~ icext(X1,X2)
| X0 = X2 ),
inference(superposition,[status(thm)],[c_1327,c_508]) ).
cnf(c_3621,plain,
( ~ iext(uri_owl_oneOf,X0,sK252)
| ~ icext(X0,X1)
| X1 = uri_ex_v ),
inference(superposition,[status(thm)],[c_1328,c_3612]) ).
cnf(c_3850,plain,
( ~ icext(sK251,X0)
| X0 = uri_ex_v ),
inference(superposition,[status(thm)],[c_1330,c_3621]) ).
cnf(c_3881,plain,
uri_ex_w = uri_ex_v,
inference(superposition,[status(thm)],[c_3546,c_3850]) ).
cnf(c_3883,plain,
uri_ex_v = uri_ex_u,
inference(superposition,[status(thm)],[c_3611,c_3850]) ).
cnf(c_3905,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(superposition,[status(thm)],[c_3881,c_1326]) ).
cnf(c_3908,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
inference(demodulation,[status(thm)],[c_3905,c_3881,c_3883]) ).
cnf(c_3909,plain,
$false,
inference(superposition,[status(thm)],[c_981,c_3908]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB023+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 07:37:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 138.45/19.35 % SZS status Started for theBenchmark.p
% 138.45/19.35 % SZS status Theorem for theBenchmark.p
% 138.45/19.35
% 138.45/19.35 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 138.45/19.35
% 138.45/19.35 ------ iProver source info
% 138.45/19.35
% 138.45/19.35 git: date: 2023-05-31 18:12:56 +0000
% 138.45/19.35 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 138.45/19.35 git: non_committed_changes: false
% 138.45/19.35 git: last_make_outside_of_git: false
% 138.45/19.35
% 138.45/19.35 ------ Parsing...
% 138.45/19.35 ------ Clausification by vclausify_rel & Parsing by iProver...
% 138.45/19.35
% 138.45/19.35 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 138.45/19.35
% 138.45/19.35 ------ Preprocessing...
% 138.45/19.35
% 138.45/19.35 ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e
% 138.45/19.35 ------ Proving...
% 138.45/19.35 ------ Problem Properties
% 138.45/19.35
% 138.45/19.35
% 138.45/19.35 clauses 1186
% 138.45/19.35 conjectures 1
% 138.45/19.35 EPR 725
% 138.45/19.35 Horn 916
% 138.45/19.35 unary 215
% 138.45/19.35 binary 466
% 138.45/19.35 lits 3832
% 138.45/19.35 lits eq 197
% 138.45/19.35 fd_pure 0
% 138.45/19.35 fd_pseudo 0
% 138.45/19.35 fd_cond 0
% 138.45/19.35 fd_pseudo_cond 66
% 138.45/19.35 AC symbols 0
% 138.45/19.35
% 138.45/19.35 ------ Input Options Time Limit: Unbounded
% 138.45/19.35
% 138.45/19.35
% 138.45/19.35 ------
% 138.45/19.35 Current options:
% 138.45/19.35 ------
% 138.45/19.35
% 138.45/19.35
% 138.45/19.35
% 138.45/19.35
% 138.45/19.35 ------ Proving...
% 138.45/19.35
% 138.45/19.35
% 138.45/19.35 % SZS status Theorem for theBenchmark.p
% 138.45/19.35
% 138.45/19.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 138.45/19.35
% 138.45/19.35
%------------------------------------------------------------------------------