%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB023+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 101 ( 17 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 117 ( 46 ~; 44 |; 22 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 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; 0-3 aty)
% Number of variables : 39 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
! [X3,X4,X5] :
( ( iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X3,X4)
<=> ( ic(X3)
& ! [X1] :
( icext(X3,X1)
<=> X1 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
? [X10,X11] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,X10)
& iext(uri_rdf_type,X10,uri_owl_Class)
& iext(uri_owl_oneOf,X10,X11)
& iext(uri_rdf_first,X11,uri_ex_u)
& iext(uri_rdf_first,X11,uri_ex_v)
& iext(uri_rdf_rest,X11,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
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/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(owl_eqdis_sameas,axiom,
! [X1,X9] :
( iext(uri_owl_sameAs,X1,X9)
<=> X1 = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(c_0_5,plain,
! [X28,X29,X30,X31,X32] :
( ( ic(X28)
| ~ iext(uri_owl_oneOf,X28,X29)
| ~ iext(uri_rdf_first,X29,X30)
| ~ iext(uri_rdf_rest,X29,uri_rdf_nil) )
& ( ~ icext(X28,X31)
| X31 = X30
| ~ iext(uri_owl_oneOf,X28,X29)
| ~ iext(uri_rdf_first,X29,X30)
| ~ iext(uri_rdf_rest,X29,uri_rdf_nil) )
& ( X32 != X30
| icext(X28,X32)
| ~ iext(uri_owl_oneOf,X28,X29)
| ~ iext(uri_rdf_first,X29,X30)
| ~ iext(uri_rdf_rest,X29,uri_rdf_nil) )
& ( ~ icext(X28,esk1_3(X28,X29,X30))
| esk1_3(X28,X29,X30) != X30
| ~ ic(X28)
| iext(uri_owl_oneOf,X28,X29)
| ~ iext(uri_rdf_first,X29,X30)
| ~ iext(uri_rdf_rest,X29,uri_rdf_nil) )
& ( icext(X28,esk1_3(X28,X29,X30))
| esk1_3(X28,X29,X30) = X30
| ~ ic(X28)
| iext(uri_owl_oneOf,X28,X29)
| ~ iext(uri_rdf_first,X29,X30)
| ~ iext(uri_rdf_rest,X29,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])])])])])]) ).
fof(c_0_6,plain,
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,esk5_0)
& iext(uri_rdf_type,esk5_0,uri_owl_Class)
& iext(uri_owl_oneOf,esk5_0,esk6_0)
& iext(uri_rdf_first,esk6_0,uri_ex_u)
& iext(uri_rdf_first,esk6_0,uri_ex_v)
& iext(uri_rdf_rest,esk6_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_023_Unique_List_Components])]) ).
cnf(c_0_7,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_5]) ).
cnf(c_0_8,plain,
iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk6_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk6_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
iext(uri_rdf_first,esk6_0,uri_ex_u),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,plain,
! [X26,X27] :
( ( ~ iext(uri_rdf_type,X26,X27)
| icext(X27,X26) )
& ( ~ icext(X27,X26)
| iext(uri_rdf_type,X26,X27) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
fof(c_0_12,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_13,plain,
( X1 = uri_ex_u
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X42,X43] :
( ( ~ iext(uri_owl_sameAs,X42,X43)
| X42 = X43 )
& ( X42 != X43
| iext(uri_owl_sameAs,X42,X43) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).
cnf(c_0_16,plain,
iext(uri_rdf_first,esk6_0,uri_ex_v),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_17,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_12]) ).
cnf(c_0_18,plain,
( X1 = uri_ex_u
| ~ iext(uri_owl_oneOf,X2,esk6_0)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
iext(uri_rdf_type,uri_ex_w,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
iext(uri_owl_oneOf,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
( iext(uri_owl_sameAs,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( X1 = uri_ex_v
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_23,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_17]) ).
cnf(c_0_24,plain,
uri_ex_u = uri_ex_w,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_25,plain,
iext(uri_owl_sameAs,X1,X1),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( X1 = uri_ex_v
| ~ iext(uri_owl_oneOf,X2,esk6_0)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_27,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_28,plain,
uri_ex_v = uri_ex_w,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_19]),c_0_20])]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB023+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n008.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:09:13 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Theorem for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------