%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 03:03:49 PM UTC 2026
% Result : Theorem 0.13s 6.08s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 31 unt; 0 def)
% Number of atoms : 125 ( 41 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 113 ( 39 ~; 33 |; 36 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-4 aty)
% Number of variables : 51 ( 2 sgn 24 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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(f4_neg,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)],[f4]) ).
fof(f4_nnf,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(nnf_transformation,[status(thm)],[f4_neg]) ).
fof(f4_sk,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c16,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t99,plain,
ifeq(iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),true,ifeq(iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
fof(f0,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f0_nnf,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(iext(uri_rdf_type,X0,X1),true,icext(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f5,axiom,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& 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(f5_nnf,plain,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,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(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5])],[f5_nnf]) ).
cnf(c18,plain,
iext(uri_rdf_type,uri_ex_w,sk4),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi15,axiom,
iext(uri_rdf_type,uri_ex_w,sk4) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h24,plain,
icext(sk4,uri_ex_w) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi15]) ).
fof(f1,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f1_nnf,plain,
! [Z,S1,A1] :
( ( ( ? [X] :
( ( X = A1
& ~ icext(Z,X) )
| ( X != A1
& icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ( ( ! [X] :
( ( X != A1
| icext(Z,X) )
& ( X = A1
| ~ icext(Z,X) ) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [S1,A1,Z,X] :
( ( ( ( sk0(Z,S1,A1) = A1
& ~ icext(Z,sk0(Z,S1,A1)) )
| ( sk0(Z,S1,A1) != A1
& icext(Z,sk0(Z,S1,A1)) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ( ( ( X != A1
| icext(Z,X) )
& ( X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).
cnf(c3,plain,
( X3 = X2
| ~ icext(X0,X3)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi3,axiom,
ifeq(iext(uri_rdf_first,X0,X1),true,ifeq(iext(uri_rdf_rest,X0,uri_rdf_nil),true,ifeq(iext(uri_owl_oneOf,X2,X0),true,ifeq(icext(X2,X3),true,X3,X1),X1),X1),X1) = X1,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(c21,plain,
iext(uri_rdf_first,sk5,uri_ex_u),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi18,axiom,
iext(uri_rdf_first,sk5,uri_ex_u) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(c23,plain,
iext(uri_rdf_rest,sk5,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi20,axiom,
iext(uri_rdf_rest,sk5,uri_rdf_nil) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(c20,plain,
iext(uri_owl_oneOf,sk4,sk5),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi17,axiom,
iext(uri_owl_oneOf,sk4,sk5) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(h50,plain,
uri_ex_w = uri_ex_u,
inference(hyper_resolution,[status(thm)],[hi3,hi18,hi20,hi17,h24]) ).
fof(f3,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f3_nnf,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c15,plain,
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi13,axiom,
ifeq(X0,X1,iext(uri_owl_sameAs,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t23,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) = true,
inference(hyper_resolution,[status(thm)],[hi13,h50]) ).
cnf(t304,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(t399,plain,
ifeq(true,true,ifeq(iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),true,false,true),true) = true,
inference(step,[status(thm)],[t99,t304]) ).
cnf(t45,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t108,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t45]) ).
cnf(t400,plain,
ifeq(iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),true,false,true) = true,
inference(step,[status(thm)],[t399,t108]) ).
cnf(c22,plain,
iext(uri_rdf_first,sk5,uri_ex_v),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi19,axiom,
iext(uri_rdf_first,sk5,uri_ex_v) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(h49,plain,
uri_ex_w = uri_ex_v,
inference(hyper_resolution,[status(thm)],[hi3,hi19,hi20,hi17,h24]) ).
cnf(t24,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) = true,
inference(hyper_resolution,[status(thm)],[hi13,h49]) ).
cnf(t300,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) = true,
inference(orient,[status(thm)],[t24]) ).
cnf(t401,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t400,t300]) ).
cnf(t402,plain,
false = true,
inference(step,[status(thm)],[t401,t108]) ).
cnf(t391,plain,
false = true,
inference(orient,[status(thm)],[t402]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t391]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/5.36 % Computer : n014.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Thu Sep 24 15:32:11 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/6.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/6.08 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------