%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB021+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 : 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 : Tue May 5 05:16:59 PM UTC 2026
% Result : Theorem 1.24s 1.65s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 136 ( 32 unt; 0 def)
% Number of atoms : 814 ( 87 equ)
% Maximal formula atoms : 88 ( 5 avg)
% Number of connectives : 1185 ( 507 ~; 574 |; 91 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 23 con; 0-7 aty)
% Number of variables : 375 ( 51 sgn 60 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_unionof_class_002,axiom,
! [X3,X4,X5,X6,X7] :
( ( iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,X3,X4)
<=> ( ic(X3)
& ic(X5)
& ic(X7)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X5,X1)
| icext(X7,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
fof(testcase_premise_fullish_021_Composite_Enumerations,axiom,
? [X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( iext(uri_owl_oneOf,uri_ex_c1,X12)
& iext(uri_rdf_first,X12,uri_ex_w1)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X13,uri_ex_w2)
& iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c2,X14)
& iext(uri_rdf_first,X14,uri_ex_w2)
& iext(uri_rdf_rest,X14,X15)
& iext(uri_rdf_first,X15,uri_ex_w3)
& iext(uri_rdf_rest,X15,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c3,X16)
& iext(uri_rdf_first,X16,uri_ex_w1)
& iext(uri_rdf_rest,X16,X17)
& iext(uri_rdf_first,X17,uri_ex_w2)
& iext(uri_rdf_rest,X17,X18)
& iext(uri_rdf_first,X18,uri_ex_w3)
& iext(uri_rdf_rest,X18,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_c4,X19)
& iext(uri_rdf_first,X19,uri_ex_c1)
& iext(uri_rdf_rest,X19,X20)
& iext(uri_rdf_first,X20,uri_ex_c2)
& iext(uri_rdf_rest,X20,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).
fof(owl_enum_class_003,axiom,
! [X3,X4,X8,X6,X9,X10,X11] :
( ( iext(uri_rdf_first,X4,X8)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X9)
& iext(uri_rdf_rest,X6,X10)
& iext(uri_rdf_first,X10,X11)
& iext(uri_rdf_rest,X10,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X3,X4)
<=> ( ic(X3)
& ! [X1] :
( icext(X3,X1)
<=> ( X1 = X8
| X1 = X9
| X1 = X11 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_003) ).
fof(owl_enum_class_002,axiom,
! [X3,X4,X8,X6,X9] :
( ( iext(uri_rdf_first,X4,X8)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X9)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X3,X4)
<=> ( ic(X3)
& ! [X1] :
( icext(X3,X1)
<=> ( X1 = X8
| X1 = X9 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).
fof(owl_prop_unionof_ext,axiom,
! [X1,X2] :
( iext(uri_owl_unionOf,X1,X2)
=> ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X5,X7] :
( iext(uri_owl_equivalentClass,X5,X7)
<=> ( ic(X5)
& ic(X7)
& ! [X1] :
( icext(X5,X1)
<=> icext(X7,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(owl_prop_oneof_ext,axiom,
! [X1,X2] :
( iext(uri_owl_oneOf,X1,X2)
=> ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
fof(testcase_conclusion_fullish_021_Composite_Enumerations,conjecture,
iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).
fof(c_0_8,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( ( ic(X61)
| ~ iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ic(X63)
| ~ iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ic(X65)
| ~ iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ~ icext(X61,X66)
| icext(X63,X66)
| icext(X65,X66)
| ~ iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ~ icext(X63,X67)
| icext(X61,X67)
| ~ iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ~ icext(X65,X67)
| icext(X61,X67)
| ~ iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ~ icext(X63,esk1_5(X61,X62,X63,X64,X65))
| ~ icext(X61,esk1_5(X61,X62,X63,X64,X65))
| ~ ic(X61)
| ~ ic(X63)
| ~ ic(X65)
| iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ~ icext(X65,esk1_5(X61,X62,X63,X64,X65))
| ~ icext(X61,esk1_5(X61,X62,X63,X64,X65))
| ~ ic(X61)
| ~ ic(X63)
| ~ ic(X65)
| iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( icext(X61,esk1_5(X61,X62,X63,X64,X65))
| icext(X63,esk1_5(X61,X62,X63,X64,X65))
| icext(X65,esk1_5(X61,X62,X63,X64,X65))
| ~ ic(X61)
| ~ ic(X63)
| ~ ic(X65)
| iext(uri_owl_unionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,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_bool_unionof_class_002])])])])])]) ).
fof(c_0_9,plain,
( iext(uri_owl_oneOf,uri_ex_c1,esk5_0)
& iext(uri_rdf_first,esk5_0,uri_ex_w1)
& iext(uri_rdf_rest,esk5_0,esk6_0)
& iext(uri_rdf_first,esk6_0,uri_ex_w2)
& iext(uri_rdf_rest,esk6_0,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c2,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_w2)
& iext(uri_rdf_rest,esk7_0,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_w3)
& iext(uri_rdf_rest,esk8_0,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c3,esk9_0)
& iext(uri_rdf_first,esk9_0,uri_ex_w1)
& iext(uri_rdf_rest,esk9_0,esk10_0)
& iext(uri_rdf_first,esk10_0,uri_ex_w2)
& iext(uri_rdf_rest,esk10_0,esk11_0)
& iext(uri_rdf_first,esk11_0,uri_ex_w3)
& iext(uri_rdf_rest,esk11_0,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_c4,esk12_0)
& iext(uri_rdf_first,esk12_0,uri_ex_c1)
& iext(uri_rdf_rest,esk12_0,esk13_0)
& iext(uri_rdf_first,esk13_0,uri_ex_c2)
& iext(uri_rdf_rest,esk13_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_021_Composite_Enumerations])]) ).
fof(c_0_10,plain,
! [X77,X78,X79,X80,X81,X82,X83,X84,X85] :
( ( ic(X77)
| ~ iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,uri_rdf_nil) )
& ( ~ icext(X77,X84)
| X84 = X79
| X84 = X81
| X84 = X83
| ~ iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,uri_rdf_nil) )
& ( X85 != X79
| icext(X77,X85)
| ~ iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,uri_rdf_nil) )
& ( X85 != X81
| icext(X77,X85)
| ~ iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,uri_rdf_nil) )
& ( X85 != X83
| icext(X77,X85)
| ~ iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,uri_rdf_nil) )
& ( esk3_7(X77,X78,X79,X80,X81,X82,X83) != X79
| ~ icext(X77,esk3_7(X77,X78,X79,X80,X81,X82,X83))
| ~ ic(X77)
| iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,uri_rdf_nil) )
& ( esk3_7(X77,X78,X79,X80,X81,X82,X83) != X81
| ~ icext(X77,esk3_7(X77,X78,X79,X80,X81,X82,X83))
| ~ ic(X77)
| iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,uri_rdf_nil) )
& ( esk3_7(X77,X78,X79,X80,X81,X82,X83) != X83
| ~ icext(X77,esk3_7(X77,X78,X79,X80,X81,X82,X83))
| ~ ic(X77)
| iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,uri_rdf_nil) )
& ( icext(X77,esk3_7(X77,X78,X79,X80,X81,X82,X83))
| esk3_7(X77,X78,X79,X80,X81,X82,X83) = X79
| esk3_7(X77,X78,X79,X80,X81,X82,X83) = X81
| esk3_7(X77,X78,X79,X80,X81,X82,X83) = X83
| ~ ic(X77)
| iext(uri_owl_oneOf,X77,X78)
| ~ iext(uri_rdf_first,X78,X79)
| ~ iext(uri_rdf_rest,X78,X80)
| ~ iext(uri_rdf_first,X80,X81)
| ~ iext(uri_rdf_rest,X80,X82)
| ~ iext(uri_rdf_first,X82,X83)
| ~ iext(uri_rdf_rest,X82,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_003])])])])])]) ).
fof(c_0_11,plain,
! [X69,X70,X71,X72,X73,X74,X75] :
( ( ic(X69)
| ~ iext(uri_owl_oneOf,X69,X70)
| ~ iext(uri_rdf_first,X70,X71)
| ~ iext(uri_rdf_rest,X70,X72)
| ~ iext(uri_rdf_first,X72,X73)
| ~ iext(uri_rdf_rest,X72,uri_rdf_nil) )
& ( ~ icext(X69,X74)
| X74 = X71
| X74 = X73
| ~ iext(uri_owl_oneOf,X69,X70)
| ~ iext(uri_rdf_first,X70,X71)
| ~ iext(uri_rdf_rest,X70,X72)
| ~ iext(uri_rdf_first,X72,X73)
| ~ iext(uri_rdf_rest,X72,uri_rdf_nil) )
& ( X75 != X71
| icext(X69,X75)
| ~ iext(uri_owl_oneOf,X69,X70)
| ~ iext(uri_rdf_first,X70,X71)
| ~ iext(uri_rdf_rest,X70,X72)
| ~ iext(uri_rdf_first,X72,X73)
| ~ iext(uri_rdf_rest,X72,uri_rdf_nil) )
& ( X75 != X73
| icext(X69,X75)
| ~ iext(uri_owl_oneOf,X69,X70)
| ~ iext(uri_rdf_first,X70,X71)
| ~ iext(uri_rdf_rest,X70,X72)
| ~ iext(uri_rdf_first,X72,X73)
| ~ iext(uri_rdf_rest,X72,uri_rdf_nil) )
& ( esk2_5(X69,X70,X71,X72,X73) != X71
| ~ icext(X69,esk2_5(X69,X70,X71,X72,X73))
| ~ ic(X69)
| iext(uri_owl_oneOf,X69,X70)
| ~ iext(uri_rdf_first,X70,X71)
| ~ iext(uri_rdf_rest,X70,X72)
| ~ iext(uri_rdf_first,X72,X73)
| ~ iext(uri_rdf_rest,X72,uri_rdf_nil) )
& ( esk2_5(X69,X70,X71,X72,X73) != X73
| ~ icext(X69,esk2_5(X69,X70,X71,X72,X73))
| ~ ic(X69)
| iext(uri_owl_oneOf,X69,X70)
| ~ iext(uri_rdf_first,X70,X71)
| ~ iext(uri_rdf_rest,X70,X72)
| ~ iext(uri_rdf_first,X72,X73)
| ~ iext(uri_rdf_rest,X72,uri_rdf_nil) )
& ( icext(X69,esk2_5(X69,X70,X71,X72,X73))
| esk2_5(X69,X70,X71,X72,X73) = X71
| esk2_5(X69,X70,X71,X72,X73) = X73
| ~ ic(X69)
| iext(uri_owl_oneOf,X69,X70)
| ~ iext(uri_rdf_first,X70,X71)
| ~ iext(uri_rdf_rest,X70,X72)
| ~ iext(uri_rdf_first,X72,X73)
| ~ iext(uri_rdf_rest,X72,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_002])])])])])]) ).
cnf(c_0_12,plain,
( icext(X3,X2)
| icext(X4,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X1,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_first,X6,X4)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
iext(uri_rdf_rest,esk13_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( X2 = X3
| X2 = X4
| X2 = X5
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X6)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X4)
| ~ iext(uri_rdf_rest,X7,X8)
| ~ iext(uri_rdf_first,X8,X5)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
iext(uri_rdf_rest,esk11_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( X2 = X3
| X2 = X4
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_first,X6,X4)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
iext(uri_rdf_rest,esk8_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( icext(X1,X2)
| icext(X3,X2)
| ~ icext(X4,X2)
| ~ iext(uri_rdf_first,esk13_0,X3)
| ~ iext(uri_rdf_rest,X5,esk13_0)
| ~ iext(uri_owl_unionOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
iext(uri_rdf_first,esk13_0,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_20,plain,
! [X59,X60] :
( ( ic(X59)
| ~ iext(uri_owl_unionOf,X59,X60) )
& ( icext(uri_rdf_List,X60)
| ~ iext(uri_owl_unionOf,X59,X60) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_unionof_ext])])]) ).
cnf(c_0_21,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,X8)
| ~ iext(uri_rdf_first,X8,X2)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| ~ icext(X5,X1)
| ~ iext(uri_rdf_first,esk11_0,X4)
| ~ iext(uri_rdf_rest,X6,esk11_0)
| ~ iext(uri_owl_oneOf,X5,X7)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_first,X7,X2)
| ~ iext(uri_rdf_rest,X7,X6) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_24,plain,
iext(uri_rdf_first,esk11_0,uri_ex_w3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,plain,
iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,plain,
( X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_first,esk8_0,X3)
| ~ iext(uri_rdf_rest,X5,esk8_0)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_27,plain,
iext(uri_rdf_first,esk8_0,uri_ex_w3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,plain,
( icext(uri_ex_c2,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk13_0)
| ~ iext(uri_owl_unionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_29,plain,
iext(uri_rdf_rest,esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_30,plain,
! [X87,X88,X89,X90,X91,X92] :
( ( ic(X87)
| ~ iext(uri_owl_equivalentClass,X87,X88) )
& ( ic(X88)
| ~ iext(uri_owl_equivalentClass,X87,X88) )
& ( ~ icext(X87,X89)
| icext(X88,X89)
| ~ iext(uri_owl_equivalentClass,X87,X88) )
& ( ~ icext(X88,X90)
| icext(X87,X90)
| ~ iext(uri_owl_equivalentClass,X87,X88) )
& ( ~ icext(X91,esk4_2(X91,X92))
| ~ icext(X92,esk4_2(X91,X92))
| ~ ic(X91)
| ~ ic(X92)
| iext(uri_owl_equivalentClass,X91,X92) )
& ( icext(X91,esk4_2(X91,X92))
| icext(X92,esk4_2(X91,X92))
| ~ ic(X91)
| ~ ic(X92)
| iext(uri_owl_equivalentClass,X91,X92) ) ),
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])])])])])]) ).
cnf(c_0_31,plain,
( ic(X1)
| ~ iext(uri_owl_unionOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
iext(uri_owl_unionOf,uri_ex_c4,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_33,plain,
! [X57,X58] :
( ( ic(X57)
| ~ iext(uri_owl_oneOf,X57,X58) )
& ( icext(uri_rdf_List,X58)
| ~ iext(uri_owl_oneOf,X57,X58) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_oneof_ext])])]) ).
cnf(c_0_34,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_first,X4,X7)
| ~ iext(uri_rdf_rest,X5,X3)
| ~ iext(uri_rdf_rest,X4,X5) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_35,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk13_0,X4)
| ~ iext(uri_rdf_rest,X5,esk13_0)
| ~ iext(uri_owl_unionOf,X1,X5)
| ~ iext(uri_rdf_first,X5,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_36,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,X7)
| ~ iext(uri_rdf_first,X7,X8)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X1)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,plain,
( X1 = uri_ex_w3
| X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_rest,X5,esk11_0)
| ~ iext(uri_owl_oneOf,X4,X6)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X6,X5) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_39,plain,
iext(uri_rdf_rest,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,plain,
( X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_first,esk6_0,X3)
| ~ iext(uri_rdf_rest,X5,esk6_0)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_25]) ).
cnf(c_0_41,plain,
iext(uri_rdf_first,esk6_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_42,plain,
( X1 = uri_ex_w3
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk8_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_43,plain,
iext(uri_rdf_rest,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,plain,
( icext(uri_ex_c2,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_owl_unionOf,X3,esk12_0)
| ~ iext(uri_rdf_first,esk12_0,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_45,plain,
( icext(X1,esk4_2(X1,X2))
| icext(X2,esk4_2(X1,X2))
| iext(uri_owl_equivalentClass,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_46,plain,
ic(uri_ex_c4),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_47,plain,
( ic(X1)
| ~ iext(uri_owl_oneOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_48,plain,
iext(uri_owl_oneOf,uri_ex_c3,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_49,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_021_Composite_Enumerations])]) ).
cnf(c_0_50,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X2)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk11_0,X2)
| ~ iext(uri_rdf_rest,X3,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X4,X6)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_15]) ).
cnf(c_0_52,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X2)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X8)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_53,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk13_0)
| ~ iext(uri_owl_unionOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_54,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_55,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X6,X3)
| ~ iext(uri_rdf_rest,X4,X6) ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_56,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk13_0,X3)
| ~ iext(uri_rdf_rest,X4,esk13_0)
| ~ iext(uri_owl_unionOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X5) ),
inference(spm,[status(thm)],[c_0_37,c_0_13]) ).
cnf(c_0_57,plain,
( X1 = uri_ex_w3
| X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_first,esk10_0,X3)
| ~ iext(uri_rdf_rest,X5,esk10_0)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_58,plain,
iext(uri_rdf_first,esk10_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_59,plain,
( X1 = uri_ex_w2
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk6_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_60,plain,
iext(uri_rdf_rest,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_61,plain,
( X1 = uri_ex_w3
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_owl_oneOf,X3,esk7_0)
| ~ iext(uri_rdf_first,esk7_0,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_62,plain,
iext(uri_owl_oneOf,uri_ex_c2,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_63,plain,
( icext(uri_ex_c2,X1)
| icext(X2,X1)
| ~ icext(uri_ex_c4,X1)
| ~ iext(uri_rdf_first,esk12_0,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_64,plain,
iext(uri_rdf_first,esk12_0,uri_ex_c1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_65,plain,
( icext(uri_ex_c4,esk4_2(X1,uri_ex_c4))
| icext(X1,esk4_2(X1,uri_ex_c4))
| iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_66,plain,
ic(uri_ex_c3),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_67,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_68,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_69,plain,
( icext(X1,uri_ex_w3)
| ~ iext(uri_rdf_rest,X2,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X2,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_rest,X3,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_24]) ).
cnf(c_0_70,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X6,X2)
| ~ iext(uri_rdf_first,X4,X7)
| ~ iext(uri_rdf_rest,X6,X3)
| ~ iext(uri_rdf_rest,X4,X6) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_71,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_unionOf,X1,esk12_0)
| ~ iext(uri_rdf_first,esk12_0,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_29]) ).
cnf(c_0_72,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_73,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk11_0,X3)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X5)
| ~ iext(uri_rdf_first,X4,X6)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_rdf_rest,X5,X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_15]) ).
cnf(c_0_74,plain,
( icext(X1,X2)
| ~ icext(uri_ex_c2,X2)
| ~ iext(uri_rdf_rest,X3,esk13_0)
| ~ iext(uri_owl_unionOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_56,c_0_19]) ).
cnf(c_0_75,plain,
( X1 = uri_ex_w2
| X1 = uri_ex_w3
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk10_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_76,plain,
iext(uri_rdf_rest,esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_77,plain,
( X1 = uri_ex_w2
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_owl_oneOf,X3,esk5_0)
| ~ iext(uri_rdf_first,esk5_0,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_78,plain,
iext(uri_owl_oneOf,uri_ex_c1,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_79,plain,
( X1 = uri_ex_w3
| X1 = X2
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,esk7_0,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_80,plain,
iext(uri_rdf_first,esk7_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_81,plain,
( icext(uri_ex_c1,X1)
| icext(uri_ex_c2,X1)
| ~ icext(uri_ex_c4,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_82,plain,
( icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c4,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_83,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk8_0,X2)
| ~ iext(uri_rdf_rest,X3,esk8_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_68,c_0_17]) ).
cnf(c_0_84,plain,
( icext(X1,uri_ex_w3)
| ~ iext(uri_rdf_first,esk10_0,X2)
| ~ iext(uri_rdf_rest,X3,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_69,c_0_39]) ).
cnf(c_0_85,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk11_0,X3)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X5)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,X4) ),
inference(spm,[status(thm)],[c_0_70,c_0_15]) ).
cnf(c_0_86,plain,
( icext(uri_ex_c4,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,esk12_0,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_32]) ).
cnf(c_0_87,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk6_0,X3)
| ~ iext(uri_rdf_rest,X4,esk6_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_25]) ).
cnf(c_0_88,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_24]) ).
cnf(c_0_89,plain,
( icext(X1,X2)
| ~ icext(uri_ex_c2,X2)
| ~ iext(uri_owl_unionOf,X1,esk12_0)
| ~ iext(uri_rdf_first,esk12_0,X3) ),
inference(spm,[status(thm)],[c_0_74,c_0_29]) ).
cnf(c_0_90,plain,
( X1 = uri_ex_w3
| X1 = uri_ex_w2
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_owl_oneOf,X3,esk9_0)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_91,plain,
( X1 = uri_ex_w2
| X1 = X2
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,esk5_0,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_92,plain,
iext(uri_rdf_first,esk5_0,uri_ex_w1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_93,plain,
( X1 = uri_ex_w2
| X1 = uri_ex_w3
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_94,plain,
( icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c2,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c1,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_95,plain,
( icext(X1,uri_ex_w3)
| ~ iext(uri_rdf_rest,X2,esk8_0)
| ~ iext(uri_owl_oneOf,X1,X2)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_83,c_0_27]) ).
cnf(c_0_96,plain,
( icext(X1,uri_ex_w3)
| ~ iext(uri_rdf_rest,X2,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X2)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_58]) ).
cnf(c_0_97,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_24]) ).
cnf(c_0_98,plain,
( iext(uri_owl_equivalentClass,X1,X2)
| ~ icext(X1,esk4_2(X1,X2))
| ~ icext(X2,esk4_2(X1,X2))
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_99,plain,
( icext(uri_ex_c4,X1)
| ~ icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_64]) ).
cnf(c_0_100,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk6_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_41]) ).
cnf(c_0_101,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk10_0,X3)
| ~ iext(uri_rdf_rest,X4,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_39]) ).
cnf(c_0_102,plain,
( icext(uri_ex_c4,X1)
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,esk12_0,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_32]) ).
cnf(c_0_103,plain,
( X1 = uri_ex_w2
| X1 = uri_ex_w3
| X1 = X2
| ~ icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_48]) ).
cnf(c_0_104,plain,
iext(uri_rdf_first,esk9_0,uri_ex_w1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_105,plain,
( X1 = uri_ex_w1
| X1 = uri_ex_w2
| ~ icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_106,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w3
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2
| icext(uri_ex_c1,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_107,plain,
( icext(X1,uri_ex_w3)
| ~ iext(uri_owl_oneOf,X1,esk7_0)
| ~ iext(uri_rdf_first,esk7_0,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_43]) ).
cnf(c_0_108,plain,
( icext(X1,uri_ex_w3)
| ~ iext(uri_owl_oneOf,X1,esk9_0)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_76]) ).
cnf(c_0_109,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk10_0,X2)
| ~ iext(uri_rdf_rest,X3,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_97,c_0_39]) ).
cnf(c_0_110,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk8_0,X3)
| ~ iext(uri_rdf_rest,X4,esk8_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_17]) ).
cnf(c_0_111,plain,
( iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ icext(uri_ex_c1,esk4_2(X1,uri_ex_c4))
| ~ icext(X1,esk4_2(X1,uri_ex_c4))
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_46])]) ).
cnf(c_0_112,plain,
( icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,esk5_0)
| ~ iext(uri_rdf_first,esk5_0,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_60]) ).
cnf(c_0_113,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_58]) ).
cnf(c_0_114,plain,
( icext(uri_ex_c4,X1)
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_64]) ).
cnf(c_0_115,plain,
( X1 = uri_ex_w1
| X1 = uri_ex_w3
| X1 = uri_ex_w2
| ~ icext(uri_ex_c3,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_116,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w3
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w1
| icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_117,plain,
( icext(uri_ex_c2,uri_ex_w3)
| ~ iext(uri_rdf_first,esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_62]) ).
cnf(c_0_118,plain,
( icext(uri_ex_c3,uri_ex_w3)
| ~ iext(uri_rdf_first,esk9_0,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_48]) ).
cnf(c_0_119,plain,
( icext(X1,uri_ex_w2)
| ~ iext(uri_rdf_rest,X2,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X2)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_109,c_0_58]) ).
cnf(c_0_120,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk8_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_27]) ).
cnf(c_0_121,plain,
( iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ icext(X1,esk4_2(X1,uri_ex_c4))
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk5_0,esk4_2(X1,uri_ex_c4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_78])]) ).
cnf(c_0_122,plain,
( icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,esk9_0)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_76]) ).
cnf(c_0_123,plain,
( iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ icext(uri_ex_c2,esk4_2(X1,uri_ex_c4))
| ~ icext(X1,esk4_2(X1,uri_ex_c4))
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_114]),c_0_46])]) ).
cnf(c_0_124,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w3
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_125,plain,
icext(uri_ex_c2,uri_ex_w3),
inference(spm,[status(thm)],[c_0_117,c_0_80]) ).
cnf(c_0_126,plain,
icext(uri_ex_c3,uri_ex_w3),
inference(spm,[status(thm)],[c_0_118,c_0_104]) ).
cnf(c_0_127,plain,
( icext(X1,uri_ex_w2)
| ~ iext(uri_owl_oneOf,X1,esk9_0)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_76]) ).
cnf(c_0_128,plain,
( icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,esk7_0)
| ~ iext(uri_rdf_first,esk7_0,X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_43]) ).
cnf(c_0_129,plain,
( iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ iext(uri_rdf_first,esk5_0,esk4_2(X1,uri_ex_c4))
| ~ iext(uri_rdf_first,esk9_0,esk4_2(X1,uri_ex_c4))
| ~ iext(uri_owl_oneOf,X1,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_47]) ).
cnf(c_0_130,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w1
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_126]),c_0_66])]),c_0_67]) ).
cnf(c_0_131,plain,
( icext(uri_ex_c3,uri_ex_w2)
| ~ iext(uri_rdf_first,esk9_0,X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_48]) ).
cnf(c_0_132,plain,
( iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ icext(X1,esk4_2(X1,uri_ex_c4))
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk7_0,esk4_2(X1,uri_ex_c4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_128]),c_0_62])]) ).
cnf(c_0_133,plain,
esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_92]),c_0_104]),c_0_48])]),c_0_67]) ).
cnf(c_0_134,plain,
icext(uri_ex_c3,uri_ex_w2),
inference(spm,[status(thm)],[c_0_131,c_0_104]) ).
cnf(c_0_135,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_66]),c_0_80])]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWB021+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.06 % 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
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue May 5 04:10:16 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.24/1.65 % Version : CSE_E---1.7
% 1.24/1.65 % Problem : theBenchmark.p
% 1.24/1.65 % SZS status Theorem for theBenchmark.p
% 1.24/1.65 % SZS output start CNFRefutation
% See solution above
% 1.24/1.66 % Total time : 1.361s
%------------------------------------------------------------------------------