%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB058+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:38:35 PM UTC 2026
% Result : Theorem 12.60s 4.73s
% Output : CNFRefutation 12.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 21 unt; 0 def)
% Number of atoms : 137 ( 19 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 157 ( 63 ~; 59 |; 28 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 54 ( 1 sgn 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
! [X11,X12,X21] :
( ( iext(uri_rdf_rest,X12,uri_rdf_nil)
& iext(uri_rdf_first,X12,X21) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ! [X4] :
( icext(X11,X4)
<=> X4 = X21 )
& ic(X11) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).
fof(premise_rdfbased_sem_eqdis_disclass_ext,axiom,
? [X37,X42] :
( iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_rdf_first,X42,uri_ex_y)
& iext(uri_owl_oneOf,uri_ex_c1,X37)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,X37,uri_rdf_nil)
& iext(uri_rdf_first,X37,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_c2,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_disclass_ext) ).
fof(conclusion_rdfbased_sem_eqdis_disclass_ext,conjecture,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_disclass_ext) ).
fof(owl_prop_oneof_ext,axiom,
! [X4,X7] :
( iext(uri_owl_oneOf,X4,X7)
=> ( icext(uri_rdf_List,X7)
& ic(X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_oneof_ext) ).
fof(owl_eqdis_disjointwith,axiom,
! [X13,X15] :
( iext(uri_owl_disjointWith,X13,X15)
<=> ( ! [X4] :
~ ( icext(X15,X4)
& icext(X13,X4) )
& ic(X15)
& ic(X13) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_disjointwith) ).
fof(owl_eqdis_differentfrom,axiom,
! [X4,X7] :
( iext(uri_owl_differentFrom,X4,X7)
<=> X4 != X7 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).
fof(c_0_6,plain,
! [X350,X351,X352,X353,X354] :
( ( ~ iext(uri_rdf_rest,X351,uri_rdf_nil)
| ~ iext(uri_rdf_first,X351,X352)
| iext(uri_owl_oneOf,X350,X351)
| ~ ic(X350)
| esk11_3(X350,X351,X352) = X352
| icext(X350,esk11_3(X350,X351,X352)) )
& ( ~ iext(uri_rdf_rest,X351,uri_rdf_nil)
| ~ iext(uri_rdf_first,X351,X352)
| iext(uri_owl_oneOf,X350,X351)
| ~ ic(X350)
| esk11_3(X350,X351,X352) != X352
| ~ icext(X350,esk11_3(X350,X351,X352)) )
& ( ~ iext(uri_rdf_rest,X351,uri_rdf_nil)
| ~ iext(uri_rdf_first,X351,X352)
| ~ iext(uri_owl_oneOf,X350,X351)
| icext(X350,X354)
| X354 != X352 )
& ( ~ iext(uri_rdf_rest,X351,uri_rdf_nil)
| ~ iext(uri_rdf_first,X351,X352)
| ~ iext(uri_owl_oneOf,X350,X351)
| X353 = X352
| ~ icext(X350,X353) )
& ( ~ iext(uri_rdf_rest,X351,uri_rdf_nil)
| ~ iext(uri_rdf_first,X351,X352)
| ~ iext(uri_owl_oneOf,X350,X351)
| ic(X350) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_7,plain,
( iext(uri_rdf_rest,esk193_0,uri_rdf_nil)
& iext(uri_rdf_first,esk193_0,uri_ex_y)
& iext(uri_owl_oneOf,uri_ex_c1,esk192_0)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,esk192_0,uri_rdf_nil)
& iext(uri_rdf_first,esk192_0,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_c2,esk193_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_eqdis_disclass_ext])]) ).
fof(c_0_8,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_eqdis_disclass_ext]) ).
cnf(c_0_9,plain,
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ icext(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
iext(uri_rdf_rest,esk193_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X217,X218] :
( ( ~ iext(uri_owl_oneOf,X217,X218)
| icext(uri_rdf_List,X218) )
& ( ~ iext(uri_owl_oneOf,X217,X218)
| ic(X217) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_oneof_ext])])])]) ).
cnf(c_0_13,plain,
( ~ iext(uri_owl_oneOf,X3,esk193_0)
| ~ iext(uri_rdf_first,esk193_0,X2)
| ~ icext(X3,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
iext(uri_rdf_first,esk193_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X809,X810,X811,X812,X813] :
( ( iext(uri_owl_disjointWith,X812,X813)
| ~ ic(X813)
| ~ ic(X812)
| icext(X813,esk115_2(X812,X813)) )
& ( iext(uri_owl_disjointWith,X812,X813)
| ~ ic(X813)
| ~ ic(X812)
| icext(X812,esk115_2(X812,X813)) )
& ( ~ iext(uri_owl_disjointWith,X809,X810)
| ~ icext(X810,X811)
| ~ icext(X809,X811) )
& ( ~ iext(uri_owl_disjointWith,X809,X810)
| ic(X810) )
& ( ~ iext(uri_owl_disjointWith,X809,X810)
| ic(X809) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_17,plain,
( ~ iext(uri_owl_oneOf,X1,X2)
| ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
iext(uri_owl_oneOf,uri_ex_c1,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
iext(uri_owl_oneOf,uri_ex_c2,esk193_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
iext(uri_rdf_rest,esk192_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( ~ iext(uri_owl_oneOf,X2,esk193_0)
| ~ icext(X2,X1)
| X1 = uri_ex_y ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( ~ ic(X1)
| ~ ic(X2)
| iext(uri_owl_disjointWith,X2,X1)
| icext(X1,esk115_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
ic(uri_ex_c1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
ic(uri_ex_c2),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_26,plain,
( ~ iext(uri_owl_oneOf,X3,esk192_0)
| ~ iext(uri_rdf_first,esk192_0,X2)
| ~ icext(X3,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_9,c_0_20]) ).
cnf(c_0_27,plain,
iext(uri_rdf_first,esk192_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,plain,
( ~ ic(X2)
| ~ ic(X1)
| iext(uri_owl_disjointWith,X1,X2)
| icext(X1,esk115_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
( ~ icext(uri_ex_c2,X1)
| X1 = uri_ex_y ),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_30,negated_conjecture,
icext(uri_ex_c2,esk115_2(uri_ex_c1,uri_ex_c2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
fof(c_0_31,plain,
! [X4,X7] :
( iext(uri_owl_differentFrom,X4,X7)
<=> X4 != X7 ),
inference(fof_simplification,[status(thm)],[owl_eqdis_differentfrom]) ).
cnf(c_0_32,plain,
( ~ iext(uri_owl_oneOf,X2,esk192_0)
| ~ icext(X2,X1)
| X1 = uri_ex_x ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
icext(uri_ex_c1,esk115_2(uri_ex_c1,uri_ex_c2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_28]),c_0_25]),c_0_24])]) ).
cnf(c_0_34,negated_conjecture,
esk115_2(uri_ex_c1,uri_ex_c2) = uri_ex_y,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_35,plain,
! [X782,X783] :
( ( iext(uri_owl_differentFrom,X782,X783)
| X782 = X783 )
& ( X782 != X783
| ~ iext(uri_owl_differentFrom,X782,X783) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_36,plain,
( ~ icext(uri_ex_c1,X1)
| X1 = uri_ex_x ),
inference(spm,[status(thm)],[c_0_32,c_0_18]) ).
cnf(c_0_37,negated_conjecture,
icext(uri_ex_c1,uri_ex_y),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( X1 != X2
| ~ iext(uri_owl_differentFrom,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_40,negated_conjecture,
uri_ex_y = uri_ex_x,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
~ iext(uri_owl_differentFrom,X1,X1),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_42,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB058+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:47:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.60/4.73 % Version: 3.5.1
% 12.60/4.73 % Preprocessing class: FSLMSMSLSSSNFFN.
% 12.60/4.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.60/4.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 12.60/4.73 % Starting new_bool_3 with 600s (2) cores
% 12.60/4.73 % Starting new_bool_1 with 600s (2) cores
% 12.60/4.73 % Starting sh5l with 300s (1) cores
% 12.60/4.73 % new_bool_1 with pid 960521 completed with status 9
% 12.60/4.73 % new_bool_3 with pid 960520 completed with status 9
% 12.60/4.73 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 960519 completed with status 0
% 12.60/4.73 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 12.60/4.73 % Preprocessing class: FSLMSMSLSSSNFFN.
% 12.60/4.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.60/4.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 12.60/4.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.60/4.73 % No SInE strategy applied
% 12.60/4.73 % Search class: FGHSM-SMLM33-SFFFFFNN
% 12.60/4.73 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 12.60/4.73 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 12.60/4.73 % Starting SubtermCWHack with 82s (1) cores
% 12.60/4.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 12.60/4.73 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 12.60/4.73 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 960551 completed with status 0
% 12.60/4.73 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 12.60/4.73 % Preprocessing class: FSLMSMSLSSSNFFN.
% 12.60/4.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.60/4.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 12.60/4.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.60/4.73 % No SInE strategy applied
% 12.60/4.73 % Search class: FGHSM-SMLM33-SFFFFFNN
% 12.60/4.73 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 12.60/4.73 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 12.60/4.73 % Starting SubtermCWHack with 82s (1) cores
% 12.60/4.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 12.60/4.73 % Preprocessing time : 0.030 s
% 12.60/4.73
% 12.60/4.73 % Proof found!
% 12.60/4.73 % SZS status Theorem
% 12.60/4.73 % SZS output start CNFRefutation
% See solution above
% 12.60/4.73 % Parsed axioms : 560
% 12.60/4.73 % Removed by relevancy pruning/SinE : 0
% 12.60/4.73 % Initial clauses : 1274
% 12.60/4.73 % Removed in clause preprocessing : 111
% 12.60/4.73 % Initial clauses in saturation : 1163
% 12.60/4.73 % Processed clauses : 17547
% 12.60/4.73 % ...of these trivial : 1667
% 12.60/4.73 % ...subsumed : 7856
% 12.60/4.73 % ...remaining for further processing : 8024
% 12.60/4.73 % Other redundant clauses eliminated : 16
% 12.60/4.73 % Clauses deleted for lack of memory : 0
% 12.60/4.73 % Backward-subsumed : 47
% 12.60/4.73 % Backward-rewritten : 324
% 12.60/4.73 % Generated clauses : 51091
% 12.60/4.73 % ...of the previous two non-redundant : 41545
% 12.60/4.73 % ...aggressively subsumed : 0
% 12.60/4.73 % Contextual simplify-reflections : 67
% 12.60/4.73 % Paramodulations : 51073
% 12.60/4.73 % Factorizations : 2
% 12.60/4.73 % NegExts : 0
% 12.60/4.73 % Equation resolutions : 16
% 12.60/4.73 % Disequality decompositions : 0
% 12.60/4.73 % Total rewrite steps : 35195
% 12.60/4.73 % ...of those cached : 33726
% 12.60/4.73 % Propositional unsat checks : 0
% 12.60/4.73 % Propositional check models : 0
% 12.60/4.73 % Propositional check unsatisfiable : 0
% 12.60/4.73 % Propositional clauses : 0
% 12.60/4.73 % Propositional clauses after purity: 0
% 12.60/4.73 % Propositional unsat core size : 0
% 12.60/4.73 % Propositional preprocessing time : 0.000
% 12.60/4.73 % Propositional encoding time : 0.000
% 12.60/4.73 % Propositional solver time : 0.000
% 12.60/4.73 % Success case prop preproc time : 0.000
% 12.60/4.73 % Success case prop encoding time : 0.000
% 12.60/4.73 % Success case prop solver time : 0.000
% 12.60/4.73 % Current number of processed clauses : 7637
% 12.60/4.73 % Positive orientable unit clauses : 2315
% 12.60/4.73 % Positive unorientable unit clauses: 0
% 12.60/4.73 % Negative unit clauses : 9
% 12.60/4.73 % Non-unit-clauses : 5313
% 12.60/4.73 % Current number of unprocessed clauses: 25044
% 12.60/4.73 % ...number of literals in the above : 110225
% 12.60/4.73 % Current number of archived formulas : 0
% 12.60/4.73 % Current number of archived clauses : 372
% 12.60/4.73 % Clause-clause subsumption calls (NU) : 4410234
% 12.60/4.73 % Rec. Clause-clause subsumption calls : 3110067
% 12.60/4.73 % Non-unit clause-clause subsumptions : 7943
% 12.60/4.73 % Unit Clause-clause subsumption calls : 509376
% 12.60/4.73 % Rewrite failures with RHS unbound : 0
% 12.60/4.73 % BW rewrite match attempts : 1617
% 12.60/4.73 % BW rewrite match successes : 27
% 12.60/4.73 % Condensation attempts : 0
% 12.60/4.73 % Condensation successes : 0
% 12.60/4.73 % Termbank termtop insertions : 791857
% 12.60/4.73 % Search garbage collected termcells : 19078
% 12.60/4.73
% 12.60/4.73 % -------------------------------------------------
% 12.60/4.73 % User time : 4.023 s
% 12.60/4.73 % System time : 0.084 s
% 12.60/4.73 % Total time : 4.107 s
% 12.60/4.73 % Maximum resident set size: 7252 pages
% 12.60/4.73
% 12.60/4.73 % -------------------------------------------------
% 12.60/4.73 % User time : 11.956 s
% 12.60/4.73 % System time : 0.431 s
% 12.60/4.73 % Total time : 12.387 s
% 12.60/4.73 % Maximum resident set size: 5120 pages
% 12.60/4.73 % E exiting
%------------------------------------------------------------------------------