%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB063+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 : n015.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 05:17:29 PM UTC 2026
% Result : Theorem 80.83s 47.93s
% Output : CNFRefutation 81.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 17 unt; 0 def)
% Number of atoms : 205 ( 15 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 245 ( 94 ~; 106 |; 35 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 83 ( 1 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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(premise_rdfbased_sem_eqdis_eqclass_ext,axiom,
? [X42,X37] :
( iext(uri_owl_oneOf,uri_ex_c2,X42)
& iext(uri_owl_oneOf,uri_ex_c1,X37)
& iext(uri_rdf_first,X42,uri_ex_x)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_rdf_first,X37,uri_ex_x)
& iext(uri_rdf_rest,X37,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_eqclass_ext) ).
fof(owl_prop_oneof_ext,axiom,
! [X4,X7] :
( iext(uri_owl_oneOf,X4,X7)
=> ( ic(X4)
& icext(uri_rdf_List,X7) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_oneof_ext) ).
fof(owl_rdfsext_subclassof,axiom,
! [X13,X15] :
( iext(uri_rdfs_subClassOf,X13,X15)
<=> ( ic(X13)
& ic(X15)
& ! [X4] :
( icext(X13,X4)
=> icext(X15,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X13,X15] :
( iext(uri_owl_equivalentClass,X13,X15)
<=> ( ic(X13)
& ic(X15)
& ! [X4] :
( icext(X13,X4)
<=> icext(X15,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentclass) ).
fof(rdfs_subclassof_main,axiom,
! [X5,X6] :
( iext(uri_rdfs_subClassOf,X5,X6)
=> ( ic(X5)
& ic(X6)
& ! [X4] :
( icext(X5,X4)
=> icext(X6,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_subclassof_main) ).
fof(conclusion_rdfbased_sem_eqdis_eqclass_ext,conjecture,
iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_eqclass_ext) ).
fof(c_0_7,plain,
! [X1325,X1326,X1327,X1328,X1329] :
( ( ic(X1325)
| ~ iext(uri_owl_oneOf,X1325,X1326)
| ~ iext(uri_rdf_first,X1326,X1327)
| ~ iext(uri_rdf_rest,X1326,uri_rdf_nil) )
& ( ~ icext(X1325,X1328)
| X1328 = X1327
| ~ iext(uri_owl_oneOf,X1325,X1326)
| ~ iext(uri_rdf_first,X1326,X1327)
| ~ iext(uri_rdf_rest,X1326,uri_rdf_nil) )
& ( X1329 != X1327
| icext(X1325,X1329)
| ~ iext(uri_owl_oneOf,X1325,X1326)
| ~ iext(uri_rdf_first,X1326,X1327)
| ~ iext(uri_rdf_rest,X1326,uri_rdf_nil) )
& ( ~ icext(X1325,esk11_3(X1325,X1326,X1327))
| esk11_3(X1325,X1326,X1327) != X1327
| ~ ic(X1325)
| iext(uri_owl_oneOf,X1325,X1326)
| ~ iext(uri_rdf_first,X1326,X1327)
| ~ iext(uri_rdf_rest,X1326,uri_rdf_nil) )
& ( icext(X1325,esk11_3(X1325,X1326,X1327))
| esk11_3(X1325,X1326,X1327) = X1327
| ~ ic(X1325)
| iext(uri_owl_oneOf,X1325,X1326)
| ~ iext(uri_rdf_first,X1326,X1327)
| ~ iext(uri_rdf_rest,X1326,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_8,plain,
( iext(uri_owl_oneOf,uri_ex_c2,esk192_0)
& iext(uri_owl_oneOf,uri_ex_c1,esk193_0)
& iext(uri_rdf_first,esk192_0,uri_ex_x)
& iext(uri_rdf_rest,esk192_0,uri_rdf_nil)
& iext(uri_rdf_first,esk193_0,uri_ex_x)
& iext(uri_rdf_rest,esk193_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_eqdis_eqclass_ext])]) ).
fof(c_0_9,plain,
! [X1192,X1193] :
( ( ic(X1192)
| ~ iext(uri_owl_oneOf,X1192,X1193) )
& ( icext(uri_rdf_List,X1193)
| ~ iext(uri_owl_oneOf,X1192,X1193) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_oneof_ext])])]) ).
cnf(c_0_10,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_7]) ).
cnf(c_0_11,plain,
iext(uri_rdf_rest,esk192_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X1743,X1744,X1745,X1746,X1747] :
( ( ic(X1743)
| ~ iext(uri_rdfs_subClassOf,X1743,X1744) )
& ( ic(X1744)
| ~ iext(uri_rdfs_subClassOf,X1743,X1744) )
& ( ~ icext(X1743,X1745)
| icext(X1744,X1745)
| ~ iext(uri_rdfs_subClassOf,X1743,X1744) )
& ( icext(X1746,esk109_2(X1746,X1747))
| ~ ic(X1746)
| ~ ic(X1747)
| iext(uri_rdfs_subClassOf,X1746,X1747) )
& ( ~ icext(X1747,esk109_2(X1746,X1747))
| ~ ic(X1746)
| ~ ic(X1747)
| iext(uri_rdfs_subClassOf,X1746,X1747) ) ),
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_rdfsext_subclassof])])])])])]) ).
cnf(c_0_13,plain,
( ic(X1)
| ~ iext(uri_owl_oneOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
iext(uri_owl_oneOf,uri_ex_c1,esk193_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk192_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk192_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
iext(uri_rdf_first,esk192_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( icext(X1,esk109_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
ic(uri_ex_c1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
iext(uri_owl_oneOf,uri_ex_c2,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_owl_oneOf,X1,X3) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
iext(uri_rdf_rest,esk193_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( X1 = uri_ex_x
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk192_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( icext(X1,esk109_2(X1,uri_ex_c1))
| iext(uri_rdfs_subClassOf,X1,uri_ex_c1)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
ic(uri_ex_c2),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_26,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk193_0,X2)
| ~ iext(uri_owl_oneOf,X1,esk193_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
iext(uri_rdf_first,esk193_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,plain,
( X1 = uri_ex_x
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_29,plain,
( icext(uri_ex_c2,esk109_2(uri_ex_c2,uri_ex_c1))
| iext(uri_rdfs_subClassOf,uri_ex_c2,uri_ex_c1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( icext(X1,uri_ex_x)
| ~ iext(uri_owl_oneOf,X1,esk193_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_31,plain,
! [X1790,X1791,X1792,X1793,X1794,X1795] :
( ( ic(X1790)
| ~ iext(uri_owl_equivalentClass,X1790,X1791) )
& ( ic(X1791)
| ~ iext(uri_owl_equivalentClass,X1790,X1791) )
& ( ~ icext(X1790,X1792)
| icext(X1791,X1792)
| ~ iext(uri_owl_equivalentClass,X1790,X1791) )
& ( ~ icext(X1791,X1793)
| icext(X1790,X1793)
| ~ iext(uri_owl_equivalentClass,X1790,X1791) )
& ( ~ icext(X1794,esk116_2(X1794,X1795))
| ~ icext(X1795,esk116_2(X1794,X1795))
| ~ ic(X1794)
| ~ ic(X1795)
| iext(uri_owl_equivalentClass,X1794,X1795) )
& ( icext(X1794,esk116_2(X1794,X1795))
| icext(X1795,esk116_2(X1794,X1795))
| ~ ic(X1794)
| ~ ic(X1795)
| iext(uri_owl_equivalentClass,X1794,X1795) ) ),
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_eqdis_equivalentclass])])])])])]) ).
fof(c_0_32,plain,
! [X1040,X1041,X1042] :
( ( ic(X1040)
| ~ iext(uri_rdfs_subClassOf,X1040,X1041) )
& ( ic(X1041)
| ~ iext(uri_rdfs_subClassOf,X1040,X1041) )
& ( ~ icext(X1040,X1042)
| icext(X1041,X1042)
| ~ iext(uri_rdfs_subClassOf,X1040,X1041) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subclassof_main])])])]) ).
cnf(c_0_33,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk109_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,plain,
( esk109_2(uri_ex_c2,uri_ex_c1) = uri_ex_x
| iext(uri_rdfs_subClassOf,uri_ex_c2,uri_ex_c1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
icext(uri_ex_c1,uri_ex_x),
inference(spm,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_36,plain,
( icext(X1,esk116_2(X1,X2))
| icext(X2,esk116_2(X1,X2))
| iext(uri_owl_equivalentClass,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_eqdis_eqclass_ext])]) ).
cnf(c_0_38,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_10,c_0_22]) ).
cnf(c_0_39,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
iext(uri_rdfs_subClassOf,uri_ex_c2,uri_ex_c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]),c_0_19]),c_0_35])]) ).
cnf(c_0_41,plain,
( icext(uri_ex_c2,esk116_2(X1,uri_ex_c2))
| icext(X1,esk116_2(X1,uri_ex_c2))
| iext(uri_owl_equivalentClass,X1,uri_ex_c2)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_42,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
( X1 = uri_ex_x
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk193_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_27]) ).
cnf(c_0_44,plain,
( icext(uri_ex_c1,X1)
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( icext(uri_ex_c1,esk116_2(uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c2,esk116_2(uri_ex_c1,uri_ex_c2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_42]) ).
cnf(c_0_46,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk192_0,X2)
| ~ iext(uri_owl_oneOf,X1,esk192_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_47,plain,
( X1 = uri_ex_x
| ~ icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_14]) ).
cnf(c_0_48,plain,
icext(uri_ex_c1,esk116_2(uri_ex_c1,uri_ex_c2)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( icext(X1,uri_ex_x)
| ~ iext(uri_owl_oneOf,X1,esk192_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_17]) ).
cnf(c_0_50,plain,
( iext(uri_owl_equivalentClass,X1,X2)
| ~ icext(X1,esk116_2(X1,X2))
| ~ icext(X2,esk116_2(X1,X2))
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_51,plain,
esk116_2(uri_ex_c1,uri_ex_c2) = uri_ex_x,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
icext(uri_ex_c2,uri_ex_x),
inference(spm,[status(thm)],[c_0_49,c_0_20]) ).
cnf(c_0_53,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_25]),c_0_19]),c_0_52]),c_0_35])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB063+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
% 0.16/0.34 % Computer : n015.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 04:11:17 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 80.83/47.93 % Version : CSE_E---1.7
% 80.83/47.93 % Problem : theBenchmark.p
% 80.83/47.93 % SZS status Theorem for theBenchmark.p
% 80.83/47.93 % SZS output start CNFRefutation
% See solution above
% 81.07/48.19 % Total time : 38.128s
%------------------------------------------------------------------------------