%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB029+2 : 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 : n014.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 05:17:17 PM UTC 2026
% Result : Theorem 0.31s 5.65s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 22 unt; 0 def)
% Number of atoms : 318 ( 0 equ)
% Maximal formula atoms : 71 ( 4 avg)
% Number of connectives : 445 ( 197 ~; 201 |; 39 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-5 aty)
% Number of variables : 153 ( 18 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_complementof_class,axiom,
! [X3,X2] :
( iext(uri_owl_complementOf,X3,X2)
=> ( ic(X3)
& ic(X2)
& ! [X1] :
( icext(X3,X1)
<=> ~ icext(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(owl_bool_intersectionof_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_intersectionOf,X3,X4)
<=> ( ic(X3)
& ic(X5)
& ic(X7)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X5,X1)
& icext(X7,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(testcase_conclusion_fullish_029_Ex_Falso_Quodlibet,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_029_Ex_Falso_Quodlibet) ).
fof(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,
? [X8,X9,X10,X11] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X8)
& iext(uri_owl_intersectionOf,X8,X10)
& iext(uri_rdf_first,X10,uri_ex_A)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_rdf_first,X11,X9)
& iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_owl_complementOf,X9,uri_ex_A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(i_0_5,plain,
! [X3,X2] :
( iext(uri_owl_complementOf,X3,X2)
=> ( ic(X3)
& ic(X2)
& ! [X1] :
( icext(X3,X1)
<=> ~ icext(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).
fof(i_0_6,plain,
! [X32,X33,X34,X35,X36,X37,X38] :
( ( ic(X32)
| ~ iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,uri_rdf_nil) )
& ( ic(X34)
| ~ iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,uri_rdf_nil) )
& ( ic(X36)
| ~ iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,uri_rdf_nil) )
& ( icext(X34,X37)
| ~ icext(X32,X37)
| ~ iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,uri_rdf_nil) )
& ( icext(X36,X37)
| ~ icext(X32,X37)
| ~ iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,uri_rdf_nil) )
& ( ~ icext(X34,X38)
| ~ icext(X36,X38)
| icext(X32,X38)
| ~ iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,uri_rdf_nil) )
& ( ~ icext(X32,esk1_5(X32,X33,X34,X35,X36))
| ~ icext(X34,esk1_5(X32,X33,X34,X35,X36))
| ~ icext(X36,esk1_5(X32,X33,X34,X35,X36))
| ~ ic(X32)
| ~ ic(X34)
| ~ ic(X36)
| iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,uri_rdf_nil) )
& ( icext(X34,esk1_5(X32,X33,X34,X35,X36))
| icext(X32,esk1_5(X32,X33,X34,X35,X36))
| ~ ic(X32)
| ~ ic(X34)
| ~ ic(X36)
| iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,uri_rdf_nil) )
& ( icext(X36,esk1_5(X32,X33,X34,X35,X36))
| icext(X32,esk1_5(X32,X33,X34,X35,X36))
| ~ ic(X32)
| ~ ic(X34)
| ~ ic(X36)
| iext(uri_owl_intersectionOf,X32,X33)
| ~ iext(uri_rdf_first,X33,X34)
| ~ iext(uri_rdf_rest,X33,X35)
| ~ iext(uri_rdf_first,X35,X36)
| ~ iext(uri_rdf_rest,X35,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(i_0_7,plain,
! [X29,X30,X31] :
( ( ic(X29)
| ~ iext(uri_owl_complementOf,X29,X30) )
& ( ic(X30)
| ~ iext(uri_owl_complementOf,X29,X30) )
& ( ~ icext(X29,X31)
| ~ icext(X30,X31)
| ~ iext(uri_owl_complementOf,X29,X30) )
& ( icext(X30,X31)
| icext(X29,X31)
| ~ iext(uri_owl_complementOf,X29,X30) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_5])])])]) ).
fof(i_0_8,plain,
! [X27,X28] :
( ( ~ iext(uri_rdf_type,X27,X28)
| icext(X28,X27) )
& ( ~ icext(X28,X27)
| iext(uri_rdf_type,X27,X28) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
fof(i_0_9,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_029_Ex_Falso_Quodlibet])]) ).
fof(i_0_10,plain,
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,esk2_0)
& iext(uri_owl_intersectionOf,esk2_0,esk4_0)
& iext(uri_rdf_first,esk4_0,uri_ex_A)
& iext(uri_rdf_rest,esk4_0,esk5_0)
& iext(uri_rdf_first,esk5_0,esk3_0)
& iext(uri_rdf_rest,esk5_0,uri_rdf_nil)
& iext(uri_owl_complementOf,esk3_0,uri_ex_A) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet])]) ).
cnf(i_0_11,plain,
( iext(uri_owl_intersectionOf,X1,X2)
| ~ icext(X1,esk1_5(X1,X2,X3,X4,X5))
| ~ icext(X3,esk1_5(X1,X2,X3,X4,X5))
| ~ icext(X5,esk1_5(X1,X2,X3,X4,X5))
| ~ ic(X1)
| ~ ic(X3)
| ~ ic(X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_12,plain,
( icext(X1,esk1_5(X2,X3,X1,X4,X5))
| icext(X2,esk1_5(X2,X3,X1,X4,X5))
| iext(uri_owl_intersectionOf,X2,X3)
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X5)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_13,plain,
( icext(X1,esk1_5(X2,X3,X4,X5,X1))
| icext(X2,esk1_5(X2,X3,X4,X5,X1))
| iext(uri_owl_intersectionOf,X2,X3)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_14,plain,
( icext(X4,X2)
| ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_15,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)],[i_0_6]),
[final] ).
cnf(i_0_16,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)],[i_0_6]),
[final] ).
cnf(i_0_17,plain,
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X1,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_18,plain,
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_19,plain,
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_20,plain,
( ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_complementOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_21,plain,
( icext(X1,X2)
| icext(X3,X2)
| ~ iext(uri_owl_complementOf,X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_22,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_23,plain,
( ic(X1)
| ~ iext(uri_owl_complementOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_24,plain,
( ic(X1)
| ~ iext(uri_owl_complementOf,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_25,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_26,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_27,plain,
iext(uri_owl_intersectionOf,esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_28,plain,
iext(uri_rdf_rest,esk5_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_29,plain,
iext(uri_rdf_rest,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_30,plain,
iext(uri_rdf_first,esk5_0,esk3_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_31,plain,
iext(uri_rdf_first,esk4_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_32,plain,
iext(uri_owl_complementOf,esk3_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_33,plain,
iext(uri_rdf_type,uri_ex_A,uri_owl_Class),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_34,plain,
iext(uri_rdf_type,uri_ex_B,uri_owl_Class),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_35,plain,
iext(uri_rdf_type,uri_ex_w,esk2_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_36,plain,
~ icext(uri_ex_B,uri_ex_w),
inference(scs_inference,[],[i_0_25,i_0_26]) ).
cnf(i_0_37,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_38,plain,
icext(uri_owl_Class,uri_ex_A),
inference(scs_inference,[],[i_0_25,i_0_33,i_0_26,i_0_22]) ).
cnf(i_0_39,plain,
( ~ iext(uri_rdf_type,X1,X2)
| icext(X2,X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_40,plain,
ic(esk3_0),
inference(scs_inference,[],[i_0_25,i_0_32,i_0_33,i_0_26,i_0_22,i_0_23]) ).
cnf(i_0_41,plain,
( ~ iext(uri_owl_complementOf,X1,X2)
| ic(X1) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_42,plain,
ic(uri_ex_A),
inference(scs_inference,[],[i_0_25,i_0_32,i_0_33,i_0_26,i_0_22,i_0_23,i_0_24]) ).
cnf(i_0_43,plain,
( ~ iext(uri_owl_complementOf,X1,X2)
| ic(X2) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_44,plain,
ic(esk2_0),
inference(scs_inference,[],[i_0_25,i_0_27,i_0_28,i_0_29,i_0_30,i_0_31,i_0_32,i_0_33,i_0_26,i_0_22,i_0_23,i_0_24,i_0_17]) ).
cnf(i_0_45,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X5)
| ic(X2) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_46,plain,
( icext(uri_ex_A,X1)
| icext(esk3_0,X1) ),
inference(scs_inference,[],[i_0_25,i_0_27,i_0_28,i_0_29,i_0_30,i_0_31,i_0_32,i_0_33,i_0_26,i_0_22,i_0_23,i_0_24,i_0_17,i_0_21]) ).
cnf(i_0_47,plain,
( ~ iext(uri_owl_complementOf,X1,X2)
| icext(X2,X3)
| icext(X1,X3) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_48,plain,
( ~ icext(esk3_0,X1)
| icext(esk3_0,X1) ),
inference(scs_inference,[],[i_0_25,i_0_27,i_0_28,i_0_29,i_0_30,i_0_31,i_0_32,i_0_33,i_0_26,i_0_22,i_0_23,i_0_24,i_0_17,i_0_21,i_0_20]) ).
cnf(i_0_49,plain,
( ~ iext(uri_owl_complementOf,X1,X2)
| ~ icext(X1,X3)
| ~ icext(X2,X3) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_50,plain,
( ~ icext(esk2_0,X1)
| icext(esk3_0,X1) ),
inference(scs_inference,[],[i_0_25,i_0_27,i_0_28,i_0_29,i_0_30,i_0_31,i_0_32,i_0_33,i_0_26,i_0_22,i_0_23,i_0_24,i_0_17,i_0_21,i_0_20,i_0_16]) ).
cnf(i_0_51,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X1)
| icext(X2,X6)
| ~ icext(X3,X6) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_52,plain,
( icext(esk3_0,uri_ex_A)
| ~ icext(esk3_0,uri_ex_w)
| ~ iext(uri_owl_intersectionOf,uri_ex_B,esk5_0)
| ~ iext(uri_rdf_rest,esk5_0,esk5_0) ),
inference(scs_inference,[],[i_0_25,i_0_27,i_0_28,i_0_29,i_0_30,i_0_31,i_0_32,i_0_33,i_0_26,i_0_22,i_0_23,i_0_24,i_0_17,i_0_21,i_0_20,i_0_16,i_0_14]) ).
cnf(i_0_53,plain,
icext(uri_owl_Class,uri_ex_B),
inference(scs_inference,[],[i_0_34,i_0_22]) ).
cnf(i_0_54,plain,
( ~ iext(uri_rdf_type,X1,X2)
| icext(X2,X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_55,plain,
( ~ icext(esk3_0,X1)
| ~ icext(uri_ex_A,X1) ),
inference(scs_inference,[],[i_0_34,i_0_32,i_0_22,i_0_20]) ).
cnf(i_0_56,plain,
( ~ iext(uri_owl_complementOf,X1,X2)
| ~ icext(X1,X3)
| ~ icext(X2,X3) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_57,plain,
( ~ icext(esk2_0,X1)
| ~ icext(uri_ex_A,X1) ),
inference(scs_inference,[],[i_0_28,i_0_34,i_0_27,i_0_29,i_0_31,i_0_32,i_0_30,i_0_22,i_0_20,i_0_16]) ).
cnf(i_0_58,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X1)
| icext(X2,X6)
| ~ icext(X3,X6) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_59,plain,
( ~ icext(uri_ex_A,esk1_5(esk3_0,esk4_0,uri_ex_A,esk5_0,esk3_0))
| iext(uri_owl_intersectionOf,esk3_0,esk4_0) ),
inference(scs_inference,[],[i_0_28,i_0_34,i_0_40,i_0_42,i_0_27,i_0_29,i_0_31,i_0_32,i_0_30,i_0_22,i_0_20,i_0_16,i_0_13]) ).
cnf(i_0_60,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| icext(X2,esk1_5(X3,X4,X5,X1,X2))
| icext(X3,esk1_5(X3,X4,X5,X1,X2))
| iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ ic(X3)
| ~ ic(X5)
| ~ ic(X2) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_61,plain,
( ~ icext(uri_ex_A,esk1_5(esk3_0,esk4_0,uri_ex_A,esk5_0,esk3_0))
| icext(uri_ex_A,esk1_5(esk3_0,esk4_0,uri_ex_A,esk5_0,esk3_0)) ),
inference(scs_inference,[],[i_0_28,i_0_34,i_0_40,i_0_42,i_0_27,i_0_29,i_0_31,i_0_32,i_0_30,i_0_22,i_0_20,i_0_16,i_0_13,i_0_46]) ).
cnf(i_0_62,plain,
( icext(esk3_0,X1)
| icext(uri_ex_A,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_64,plain,
icext(esk2_0,uri_ex_w),
inference(scs_inference,[],[i_0_35,i_0_22]) ).
cnf(i_0_65,plain,
( ~ iext(uri_rdf_type,X1,X2)
| icext(X2,X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_66,plain,
icext(uri_ex_A,uri_ex_w),
inference(scs_inference,[],[i_0_28,i_0_35,i_0_27,i_0_29,i_0_31,i_0_30,i_0_22,i_0_15]) ).
cnf(i_0_67,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_owl_intersectionOf,X4,X2)
| ~ iext(uri_rdf_rest,X2,X1)
| ~ iext(uri_rdf_first,X1,X5)
| icext(X3,X6)
| ~ icext(X4,X6) ),
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_68,plain,
icext(esk3_0,uri_ex_w),
inference(scs_inference,[],[i_0_28,i_0_35,i_0_27,i_0_29,i_0_31,i_0_30,i_0_22,i_0_15,i_0_16]) ).
cnf(i_0_69,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X1)
| icext(X2,X6)
| ~ icext(X3,X6) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_70,plain,
$false,
inference(scs_inference,[],[i_0_28,i_0_35,i_0_27,i_0_29,i_0_31,i_0_30,i_0_22,i_0_15,i_0_16,i_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SWB029+2 : TPTP v9.2.1. Released v5.2.0.
% 0.11/0.14 % 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
% 0.16/0.35 % Computer : n014.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue May 5 04:09:36 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 0.31/5.65 % Version : CSE_E---1.7
% 0.31/5.65 % Problem : theBenchmark.p
% 0.31/5.65 % SZS status Theorem for theBenchmark.p
% 0.31/5.65 % SZS output start CNFRefutation
% See solution above
% 0.38/5.73 % Total time : 5.283s
%------------------------------------------------------------------------------