%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB020+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 : n003.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 05:16:58 PM UTC 2026
% Result : Theorem 1.48s 1.77s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 76 ( 26 unt; 0 def)
% Number of atoms : 485 ( 0 equ)
% Maximal formula atoms : 124 ( 6 avg)
% Number of connectives : 701 ( 292 ~; 313 |; 83 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-7 aty)
% Number of variables : 158 ( 15 sgn 55 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_intersectionof_class_002,axiom,
! [X3,X5,X6,X7,X8] :
( ( 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) )
=> ( iext(uri_owl_intersectionOf,X3,X5)
<=> ( ic(X3)
& ic(X6)
& ic(X8)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X6,X1)
& icext(X8,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(testcase_premise_fullish_020_Logical_Complications,axiom,
? [X11,X12,X13,X14,X15,X16,X17] :
( iext(uri_owl_unionOf,uri_ex_c,X13)
& iext(uri_rdf_first,X13,uri_ex_c1)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X14,uri_ex_c2)
& iext(uri_rdf_rest,X14,X15)
& iext(uri_rdf_first,X15,uri_ex_c3)
& iext(uri_rdf_rest,X15,uri_rdf_nil)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_d,X11)
& iext(uri_owl_intersectionOf,X11,X16)
& iext(uri_rdf_first,X16,uri_ex_c)
& iext(uri_rdf_rest,X16,X17)
& iext(uri_rdf_first,X17,X12)
& iext(uri_rdf_rest,X17,uri_rdf_nil)
& iext(uri_owl_complementOf,X12,uri_ex_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).
fof(owl_bool_complementof_class,axiom,
! [X3,X4] :
( iext(uri_owl_complementOf,X3,X4)
=> ( ic(X3)
& ic(X4)
& ! [X1] :
( icext(X3,X1)
<=> ~ icext(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(owl_rdfsext_subclassof,axiom,
! [X6,X8] :
( iext(uri_rdfs_subClassOf,X6,X8)
<=> ( ic(X6)
& ic(X8)
& ! [X1] :
( icext(X6,X1)
=> icext(X8,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(owl_bool_unionof_class_003,axiom,
! [X3,X5,X6,X7,X8,X9,X10] :
( ( iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,X9)
& iext(uri_rdf_first,X9,X10)
& iext(uri_rdf_rest,X9,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,X3,X5)
<=> ( ic(X3)
& ic(X6)
& ic(X8)
& ic(X10)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X6,X1)
| icext(X8,X1)
| icext(X10,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
fof(owl_eqdis_disjointwith,axiom,
! [X6,X8] :
( iext(uri_owl_disjointWith,X6,X8)
<=> ( ic(X6)
& ic(X8)
& ! [X1] :
~ ( icext(X6,X1)
& icext(X8,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(testcase_conclusion_fullish_020_Logical_Complications,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).
fof(c_0_7,plain,
! [X55,X56,X57,X58,X59,X60,X61] :
( ( ic(X55)
| ~ iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,uri_rdf_nil) )
& ( ic(X57)
| ~ iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,uri_rdf_nil) )
& ( ic(X59)
| ~ iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,uri_rdf_nil) )
& ( icext(X57,X60)
| ~ icext(X55,X60)
| ~ iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,uri_rdf_nil) )
& ( icext(X59,X60)
| ~ icext(X55,X60)
| ~ iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,uri_rdf_nil) )
& ( ~ icext(X57,X61)
| ~ icext(X59,X61)
| icext(X55,X61)
| ~ iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,uri_rdf_nil) )
& ( ~ icext(X55,esk1_5(X55,X56,X57,X58,X59))
| ~ icext(X57,esk1_5(X55,X56,X57,X58,X59))
| ~ icext(X59,esk1_5(X55,X56,X57,X58,X59))
| ~ ic(X55)
| ~ ic(X57)
| ~ ic(X59)
| iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,uri_rdf_nil) )
& ( icext(X57,esk1_5(X55,X56,X57,X58,X59))
| icext(X55,esk1_5(X55,X56,X57,X58,X59))
| ~ ic(X55)
| ~ ic(X57)
| ~ ic(X59)
| iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,uri_rdf_nil) )
& ( icext(X59,esk1_5(X55,X56,X57,X58,X59))
| icext(X55,esk1_5(X55,X56,X57,X58,X59))
| ~ ic(X55)
| ~ ic(X57)
| ~ ic(X59)
| iext(uri_owl_intersectionOf,X55,X56)
| ~ iext(uri_rdf_first,X56,X57)
| ~ iext(uri_rdf_rest,X56,X58)
| ~ iext(uri_rdf_first,X58,X59)
| ~ iext(uri_rdf_rest,X58,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_intersectionof_class_002])])])])])]) ).
fof(c_0_8,plain,
( iext(uri_owl_unionOf,uri_ex_c,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_c1)
& iext(uri_rdf_rest,esk7_0,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_c2)
& iext(uri_rdf_rest,esk8_0,esk9_0)
& iext(uri_rdf_first,esk9_0,uri_ex_c3)
& iext(uri_rdf_rest,esk9_0,uri_rdf_nil)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_d,esk5_0)
& iext(uri_owl_intersectionOf,esk5_0,esk10_0)
& iext(uri_rdf_first,esk10_0,uri_ex_c)
& iext(uri_rdf_rest,esk10_0,esk11_0)
& iext(uri_rdf_first,esk11_0,esk6_0)
& iext(uri_rdf_rest,esk11_0,uri_rdf_nil)
& iext(uri_owl_complementOf,esk6_0,uri_ex_c2) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_020_Logical_Complications])]) ).
fof(c_0_9,plain,
! [X3,X4] :
( iext(uri_owl_complementOf,X3,X4)
=> ( ic(X3)
& ic(X4)
& ! [X1] :
( icext(X3,X1)
<=> ~ icext(X4,X1) ) ) ),
inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).
cnf(c_0_10,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,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_7]) ).
cnf(c_0_11,plain,
iext(uri_rdf_first,esk11_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
iext(uri_rdf_rest,esk11_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X52,X53,X54] :
( ( ic(X52)
| ~ iext(uri_owl_complementOf,X52,X53) )
& ( ic(X53)
| ~ iext(uri_owl_complementOf,X52,X53) )
& ( ~ icext(X52,X54)
| ~ icext(X53,X54)
| ~ iext(uri_owl_complementOf,X52,X53) )
& ( icext(X53,X54)
| icext(X52,X54)
| ~ iext(uri_owl_complementOf,X52,X53) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_14,plain,
( icext(esk6_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,X3,esk11_0)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_intersectionOf,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,plain,
iext(uri_rdf_first,esk10_0,uri_ex_c),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
iext(uri_rdf_rest,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
! [X73,X74,X75,X76,X77] :
( ( ic(X73)
| ~ iext(uri_rdfs_subClassOf,X73,X74) )
& ( ic(X74)
| ~ iext(uri_rdfs_subClassOf,X73,X74) )
& ( ~ icext(X73,X75)
| icext(X74,X75)
| ~ iext(uri_rdfs_subClassOf,X73,X74) )
& ( icext(X76,esk3_2(X76,X77))
| ~ ic(X76)
| ~ ic(X77)
| iext(uri_rdfs_subClassOf,X76,X77) )
& ( ~ icext(X77,esk3_2(X76,X77))
| ~ ic(X76)
| ~ ic(X77)
| iext(uri_rdfs_subClassOf,X76,X77) ) ),
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])])])])])]) ).
fof(c_0_18,plain,
! [X63,X64,X65,X66,X67,X68,X69,X70,X71] :
( ( ic(X63)
| ~ iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ic(X65)
| ~ iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ic(X67)
| ~ iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ic(X69)
| ~ iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ~ icext(X63,X70)
| icext(X65,X70)
| icext(X67,X70)
| icext(X69,X70)
| ~ iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ~ icext(X65,X71)
| icext(X63,X71)
| ~ iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ~ icext(X67,X71)
| icext(X63,X71)
| ~ iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ~ icext(X69,X71)
| icext(X63,X71)
| ~ iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ~ icext(X65,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| ~ icext(X63,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| ~ ic(X63)
| ~ ic(X65)
| ~ ic(X67)
| ~ ic(X69)
| iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ~ icext(X67,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| ~ icext(X63,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| ~ ic(X63)
| ~ ic(X65)
| ~ ic(X67)
| ~ ic(X69)
| iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( ~ icext(X69,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| ~ icext(X63,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| ~ ic(X63)
| ~ ic(X65)
| ~ ic(X67)
| ~ ic(X69)
| iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,uri_rdf_nil) )
& ( icext(X63,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| icext(X65,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| icext(X67,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| icext(X69,esk2_7(X63,X64,X65,X66,X67,X68,X69))
| ~ ic(X63)
| ~ ic(X65)
| ~ ic(X67)
| ~ ic(X69)
| iext(uri_owl_unionOf,X63,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,X66)
| ~ iext(uri_rdf_first,X66,X67)
| ~ iext(uri_rdf_rest,X66,X68)
| ~ iext(uri_rdf_first,X68,X69)
| ~ iext(uri_rdf_rest,X68,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_003])])])])])]) ).
cnf(c_0_19,plain,
( ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_complementOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
iext(uri_owl_complementOf,esk6_0,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_21,plain,
! [X79,X80,X81,X82,X83] :
( ( ic(X79)
| ~ iext(uri_owl_disjointWith,X79,X80) )
& ( ic(X80)
| ~ iext(uri_owl_disjointWith,X79,X80) )
& ( ~ icext(X79,X81)
| ~ icext(X80,X81)
| ~ iext(uri_owl_disjointWith,X79,X80) )
& ( icext(X82,esk4_2(X82,X83))
| ~ ic(X82)
| ~ ic(X83)
| iext(uri_owl_disjointWith,X82,X83) )
& ( icext(X83,esk4_2(X82,X83))
| ~ ic(X82)
| ~ ic(X83)
| iext(uri_owl_disjointWith,X82,X83) ) ),
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_disjointwith])])])])])]) ).
cnf(c_0_22,plain,
( ic(X1)
| ~ iext(uri_owl_complementOf,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( icext(esk6_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_24,plain,
iext(uri_owl_intersectionOf,esk5_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( ic(X1)
| ~ iext(uri_rdfs_subClassOf,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,plain,
( icext(X3,X2)
| icext(X4,X2)
| icext(X5,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,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_18]) ).
cnf(c_0_28,plain,
iext(uri_rdf_first,esk9_0,uri_ex_c3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,plain,
iext(uri_rdf_rest,esk9_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,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_7]) ).
cnf(c_0_31,plain,
( ~ icext(uri_ex_c2,X1)
| ~ icext(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_32,plain,
( icext(X1,esk4_2(X1,X2))
| iext(uri_owl_disjointWith,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
ic(uri_ex_c2),
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_34,plain,
( icext(esk6_0,X1)
| ~ icext(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_35,plain,
( icext(X1,esk4_2(X2,X1))
| iext(uri_owl_disjointWith,X2,X1)
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36,plain,
ic(esk5_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_37,plain,
( icext(uri_ex_c3,X1)
| icext(X2,X1)
| icext(X3,X1)
| ~ icext(X4,X1)
| ~ iext(uri_rdf_rest,X5,esk9_0)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_first,X6,X2)
| ~ iext(uri_rdf_rest,X6,X5)
| ~ iext(uri_owl_unionOf,X4,X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_38,plain,
iext(uri_rdf_first,esk8_0,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,plain,
iext(uri_rdf_rest,esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_owl_intersectionOf,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_11]),c_0_12])]) ).
cnf(c_0_41,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_42,plain,
( ic(X1)
| ~ iext(uri_rdfs_subClassOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,plain,
( iext(uri_owl_disjointWith,uri_ex_c2,X1)
| ~ icext(esk6_0,esk4_2(uri_ex_c2,X1))
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_44,plain,
( icext(esk6_0,esk4_2(X1,esk5_0))
| iext(uri_owl_disjointWith,X1,esk5_0)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_45,plain,
( ic(X1)
| ~ iext(uri_owl_unionOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,X7)
| ~ iext(uri_rdf_first,X7,X1)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_46,plain,
( icext(uri_ex_c2,X1)
| icext(uri_ex_c3,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk8_0)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_owl_unionOf,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_47,plain,
iext(uri_rdf_first,esk7_0,uri_ex_c1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_48,plain,
iext(uri_rdf_rest,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_49,plain,
( icext(uri_ex_c,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_15]),c_0_16])]) ).
cnf(c_0_50,plain,
( icext(esk5_0,X1)
| ~ icext(uri_ex_d,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_51,plain,
( icext(X1,esk3_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52,plain,
ic(uri_ex_d),
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_53,plain,
( ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_disjointWith,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_54,plain,
iext(uri_owl_disjointWith,uri_ex_c2,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]),c_0_33])]) ).
cnf(c_0_55,plain,
( ic(uri_ex_c3)
| ~ iext(uri_rdf_rest,X1,esk9_0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_owl_unionOf,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_28]),c_0_29])]) ).
cnf(c_0_56,plain,
( icext(uri_ex_c1,X1)
| icext(uri_ex_c3,X1)
| icext(uri_ex_c2,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_unionOf,X2,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_57,plain,
iext(uri_owl_unionOf,uri_ex_c,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_58,plain,
( icext(uri_ex_c,X1)
| ~ icext(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_24]) ).
cnf(c_0_59,plain,
( icext(esk5_0,esk3_2(uri_ex_d,X1))
| iext(uri_rdfs_subClassOf,uri_ex_d,X1)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_60,plain,
( ~ icext(esk5_0,X1)
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,plain,
( ic(uri_ex_c3)
| ~ iext(uri_rdf_rest,X1,esk8_0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_unionOf,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_38]),c_0_39])]) ).
cnf(c_0_62,plain,
( icext(uri_ex_c2,X1)
| icext(uri_ex_c3,X1)
| icext(uri_ex_c1,X1)
| ~ icext(uri_ex_c,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
( icext(uri_ex_c,esk3_2(uri_ex_d,X1))
| iext(uri_rdfs_subClassOf,uri_ex_d,X1)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,X1)
| ~ icext(uri_ex_c2,esk3_2(uri_ex_d,X1))
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_65,plain,
( ic(uri_ex_c3)
| ~ iext(uri_owl_unionOf,X1,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_47]),c_0_48])]) ).
fof(c_0_66,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_020_Logical_Complications])]) ).
cnf(c_0_67,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_68,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk3_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_69,plain,
( icext(uri_ex_c1,esk3_2(uri_ex_d,X1))
| icext(uri_ex_c3,esk3_2(uri_ex_d,X1))
| iext(uri_rdfs_subClassOf,uri_ex_d,X1)
| ~ ic(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_70,plain,
ic(uri_ex_c3),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_71,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,plain,
( ~ icext(uri_ex_c1,X1)
| ~ icext(uri_ex_d,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_67]) ).
cnf(c_0_73,plain,
icext(uri_ex_c1,esk3_2(uri_ex_d,uri_ex_c3)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_52]),c_0_70])]),c_0_71]) ).
cnf(c_0_74,plain,
~ icext(uri_ex_d,esk3_2(uri_ex_d,uri_ex_c3)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_75,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_51]),c_0_70]),c_0_52])]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB020+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
% 0.18/0.34 % Computer : n003.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 04:11:41 EDT 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.35 % start to proof: theBenchmark
% 1.48/1.77 % Version : CSE_E---1.7
% 1.48/1.77 % Problem : theBenchmark.p
% 1.48/1.77 % SZS status Theorem for theBenchmark.p
% 1.48/1.77 % SZS output start CNFRefutation
% See solution above
% 1.48/1.78 % Total time : 1.375s
%------------------------------------------------------------------------------