%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB023+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 : Tue May 5 05:17:05 PM UTC 2026
% Result : Theorem 27.09s 16.04s
% Output : CNFRefutation 27.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 126 ( 21 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 145 ( 55 ~; 55 |; 28 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
? [X42,X43] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,X42)
& iext(uri_rdf_type,X42,uri_owl_Class)
& iext(uri_owl_oneOf,X42,X43)
& iext(uri_rdf_first,X43,uri_ex_u)
& iext(uri_rdf_first,X43,uri_ex_v)
& iext(uri_rdf_rest,X43,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(owl_char_functional,axiom,
! [X2] :
( icext(uri_owl_FunctionalProperty,X2)
<=> ( ip(X2)
& ! [X4,X27,X28] :
( ( iext(X2,X4,X27)
& iext(X2,X4,X28) )
=> X27 = X28 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_functional) ).
fof(owl_enum_class_001,axiom,
! [X11,X12,X21] :
( ( iext(uri_rdf_first,X12,X21)
& iext(uri_rdf_rest,X12,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ic(X11)
& ! [X4] :
( icext(X11,X4)
<=> X4 = X21 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).
fof(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(owl_eqdis_sameas,axiom,
! [X4,X7] :
( iext(uri_owl_sameAs,X4,X7)
<=> X4 = X7 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).
fof(c_0_6,plain,
! [X1025,X1026] :
( ( ~ iext(uri_rdf_type,X1025,X1026)
| icext(X1026,X1025) )
& ( ~ icext(X1026,X1025)
| iext(uri_rdf_type,X1025,X1026) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
fof(c_0_7,plain,
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,esk192_0)
& iext(uri_rdf_type,esk192_0,uri_owl_Class)
& iext(uri_owl_oneOf,esk192_0,esk193_0)
& iext(uri_rdf_first,esk193_0,uri_ex_u)
& iext(uri_rdf_first,esk193_0,uri_ex_v)
& iext(uri_rdf_rest,esk193_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_023_Unique_List_Components])]) ).
fof(c_0_8,plain,
! [X2007,X2008,X2009,X2010,X2011] :
( ( ip(X2007)
| ~ icext(uri_owl_FunctionalProperty,X2007) )
& ( ~ iext(X2007,X2008,X2009)
| ~ iext(X2007,X2008,X2010)
| X2009 = X2010
| ~ icext(uri_owl_FunctionalProperty,X2007) )
& ( iext(X2011,esk163_1(X2011),esk164_1(X2011))
| ~ ip(X2011)
| icext(uri_owl_FunctionalProperty,X2011) )
& ( iext(X2011,esk163_1(X2011),esk165_1(X2011))
| ~ ip(X2011)
| icext(uri_owl_FunctionalProperty,X2011) )
& ( esk164_1(X2011) != esk165_1(X2011)
| ~ ip(X2011)
| icext(uri_owl_FunctionalProperty,X2011) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_char_functional])])])])])]) ).
cnf(c_0_9,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X1326,X1327,X1328,X1329,X1330] :
( ( ic(X1326)
| ~ iext(uri_owl_oneOf,X1326,X1327)
| ~ iext(uri_rdf_first,X1327,X1328)
| ~ iext(uri_rdf_rest,X1327,uri_rdf_nil) )
& ( ~ icext(X1326,X1329)
| X1329 = X1328
| ~ iext(uri_owl_oneOf,X1326,X1327)
| ~ iext(uri_rdf_first,X1327,X1328)
| ~ iext(uri_rdf_rest,X1327,uri_rdf_nil) )
& ( X1330 != X1328
| icext(X1326,X1330)
| ~ iext(uri_owl_oneOf,X1326,X1327)
| ~ iext(uri_rdf_first,X1327,X1328)
| ~ iext(uri_rdf_rest,X1327,uri_rdf_nil) )
& ( ~ icext(X1326,esk11_3(X1326,X1327,X1328))
| esk11_3(X1326,X1327,X1328) != X1328
| ~ ic(X1326)
| iext(uri_owl_oneOf,X1326,X1327)
| ~ iext(uri_rdf_first,X1327,X1328)
| ~ iext(uri_rdf_rest,X1327,uri_rdf_nil) )
& ( icext(X1326,esk11_3(X1326,X1327,X1328))
| esk11_3(X1326,X1327,X1328) = X1328
| ~ ic(X1326)
| iext(uri_owl_oneOf,X1326,X1327)
| ~ iext(uri_rdf_first,X1327,X1328)
| ~ iext(uri_rdf_rest,X1327,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_001])])])])])]) ).
cnf(c_0_12,plain,
( X3 = X4
| ~ iext(X1,X2,X3)
| ~ iext(X1,X2,X4)
| ~ icext(uri_owl_FunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( X2 = X3
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
iext(uri_rdf_rest,esk193_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_023_Unique_List_Components]) ).
cnf(c_0_17,plain,
( X1 = X2
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X3,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
iext(uri_rdf_first,esk193_0,uri_ex_v),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk193_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk193_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
iext(uri_rdf_first,esk193_0,uri_ex_u),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_21,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(fof_nnf,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( X1 = uri_ex_v
| ~ iext(uri_rdf_first,esk193_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( X1 = uri_ex_u
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk193_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
iext(uri_owl_oneOf,esk192_0,esk193_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,plain,
iext(uri_rdf_type,uri_ex_w,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_26,plain,
! [X1816,X1817] :
( ( ~ iext(uri_owl_sameAs,X1816,X1817)
| X1816 = X1817 )
& ( X1816 != X1817
| iext(uri_owl_sameAs,X1816,X1817) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).
cnf(c_0_27,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
uri_ex_v = uri_ex_u,
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_29,plain,
( X1 = uri_ex_u
| ~ icext(esk192_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
icext(esk192_0,uri_ex_w),
inference(spm,[status(thm)],[c_0_9,c_0_25]) ).
cnf(c_0_31,plain,
( iext(uri_owl_sameAs,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).
cnf(c_0_33,plain,
uri_ex_u = uri_ex_w,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
iext(uri_owl_sameAs,X1,X1),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB023+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n001.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 04:09:33 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 27.09/16.04 % Version : CSE_E---1.7
% 27.09/16.04 % Problem : theBenchmark.p
% 27.09/16.04 % SZS status Theorem for theBenchmark.p
% 27.09/16.04 % SZS output start CNFRefutation
% See solution above
% 27.19/16.13 % Total time : 12.503s
%------------------------------------------------------------------------------