%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWB031+2 : 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 : n018.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 02:39:21 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.55s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 18 unt; 0 def)
% Number of atoms : 102 ( 9 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 119 ( 47 ~; 46 |; 20 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 47 ( 10 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_class_thing_ext,axiom,
! [X1] :
( icext(uri_owl_Thing,X1)
<=> ir(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(simple_ir,axiom,
! [X1] : ir(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
fof(owl_enum_class_001,axiom,
! [X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4) )
=> ( iext(uri_owl_oneOf,X2,X3)
<=> ( ! [X1] :
( icext(X2,X1)
<=> X1 = X4 )
& ic(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(testcase_premise_fullish_031_Large_Universe,axiom,
? [X7,X8] :
( iext(uri_rdf_rest,X8,uri_rdf_nil)
& iext(uri_rdf_first,X8,uri_ex_w)
& iext(uri_owl_oneOf,X7,X8)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X5,X6] :
( iext(uri_owl_equivalentClass,X5,X6)
<=> ( ! [X1] :
( icext(X5,X1)
<=> icext(X6,X1) )
& ic(X6)
& ic(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(owl_class_nothing_ext,axiom,
! [X1] : ~ icext(uri_owl_Nothing,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
fof(c_0_6,plain,
! [X10] :
( ( icext(uri_owl_Thing,X10)
| ~ ir(X10) )
& ( ir(X10)
| ~ icext(uri_owl_Thing,X10) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])])]) ).
fof(c_0_7,plain,
! [X9] : ir(X9),
inference(variable_rename,[status(thm)],[simple_ir]) ).
fof(c_0_8,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
| ~ iext(uri_rdf_first,X13,X14)
| iext(uri_owl_oneOf,X12,X13)
| ~ ic(X12)
| esk1_3(X12,X13,X14) = X14
| icext(X12,esk1_3(X12,X13,X14)) )
& ( ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
| ~ iext(uri_rdf_first,X13,X14)
| iext(uri_owl_oneOf,X12,X13)
| ~ ic(X12)
| esk1_3(X12,X13,X14) != X14
| ~ icext(X12,esk1_3(X12,X13,X14)) )
& ( ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_owl_oneOf,X12,X13)
| icext(X12,X16)
| X16 != X14 )
& ( ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_owl_oneOf,X12,X13)
| X15 = X14
| ~ icext(X12,X15) )
& ( ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_owl_oneOf,X12,X13)
| ic(X12) ) ),
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_9,plain,
( iext(uri_rdf_rest,esk4_0,uri_rdf_nil)
& iext(uri_rdf_first,esk4_0,uri_ex_w)
& iext(uri_owl_oneOf,esk3_0,esk4_0)
& iext(uri_owl_equivalentClass,uri_owl_Thing,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_031_Large_Universe])]) ).
fof(c_0_10,plain,
! [X18,X19,X20,X21,X22,X23] :
( ( iext(uri_owl_equivalentClass,X22,X23)
| ~ ic(X23)
| ~ ic(X22)
| icext(X23,esk2_2(X22,X23))
| icext(X22,esk2_2(X22,X23)) )
& ( iext(uri_owl_equivalentClass,X22,X23)
| ~ ic(X23)
| ~ ic(X22)
| ~ icext(X23,esk2_2(X22,X23))
| ~ icext(X22,esk2_2(X22,X23)) )
& ( ~ iext(uri_owl_equivalentClass,X18,X19)
| icext(X18,X21)
| ~ icext(X19,X21) )
& ( ~ iext(uri_owl_equivalentClass,X18,X19)
| icext(X19,X20)
| ~ icext(X18,X20) )
& ( ~ iext(uri_owl_equivalentClass,X18,X19)
| ic(X19) )
& ( ~ iext(uri_owl_equivalentClass,X18,X19)
| ic(X18) ) ),
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_equivalentclass])])])])])])]) ).
cnf(c_0_11,plain,
( ~ ir(X1)
| icext(uri_owl_Thing,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
ir(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,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_8]) ).
cnf(c_0_14,plain,
iext(uri_rdf_first,esk4_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( ~ iext(uri_owl_equivalentClass,X1,X3)
| ~ icext(X1,X2)
| icext(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
icext(uri_owl_Thing,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
fof(c_0_19,plain,
! [X1] : ~ icext(uri_owl_Nothing,X1),
inference(fof_simplification,[status(thm)],[owl_class_nothing_ext]) ).
cnf(c_0_20,plain,
( ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk4_0)
| X1 = uri_ex_w ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_21,plain,
icext(esk3_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_22,plain,
iext(uri_owl_oneOf,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_23,plain,
! [X11] : ~ icext(uri_owl_Nothing,X11),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).
cnf(c_0_24,plain,
X1 = uri_ex_w,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_25,plain,
~ icext(uri_owl_Nothing,X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,plain,
X1 = X2,
inference(spm,[status(thm)],[c_0_24,c_0_24]) ).
cnf(c_0_27,plain,
~ icext(uri_ex_w,X1),
inference(rw,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_28,plain,
icext(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_29,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n018.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 07:44:49 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.45 Running first-order theorem proving
% 0.15/5.45 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
% 0.15/5.55 % Version: 3.5.1
% 0.15/5.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.55 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.55 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.55 % Starting sh5l with 300s (1) cores
% 0.15/5.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1370355 completed with status 0
% 0.15/5.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/5.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.55 % No SInE strategy applied
% 0.15/5.55 % Search class: FGUSF-FFSS32-SFFFFFNN
% 0.15/5.55 % partial match(1): FGUSF-FFSF32-SFFFFFNN
% 0.15/5.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.55 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/5.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/5.55 % Starting new_bool_3 with 136s (1) cores
% 0.15/5.55 % Starting new_bool_1 with 136s (1) cores
% 0.15/5.55 % SubtermCWHack with pid 1370374 completed with status 0
% 0.15/5.55 % Result found by SubtermCWHack
% 0.15/5.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.55 % No SInE strategy applied
% 0.15/5.55 % Search class: FGUSF-FFSS32-SFFFFFNN
% 0.15/5.55 % partial match(1): FGUSF-FFSF32-SFFFFFNN
% 0.15/5.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.55 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.55 % Preprocessing time : 0.002 s
% 0.15/5.55
% 0.15/5.55 % Proof found!
% 0.15/5.55 % SZS status Unsatisfiable
% 0.15/5.55 % SZS output start CNFRefutation
% See solution above
% 0.15/5.55 % Parsed axioms : 6
% 0.15/5.55 % Removed by relevancy pruning/SinE : 0
% 0.15/5.55 % Initial clauses : 19
% 0.15/5.55 % Removed in clause preprocessing : 2
% 0.15/5.55 % Initial clauses in saturation : 17
% 0.15/5.55 % Processed clauses : 34
% 0.15/5.55 % ...of these trivial : 0
% 0.15/5.55 % ...subsumed : 1
% 0.15/5.55 % ...remaining for further processing : 33
% 0.15/5.55 % Other redundant clauses eliminated : 1
% 0.15/5.55 % Clauses deleted for lack of memory : 0
% 0.15/5.55 % Backward-subsumed : 4
% 0.15/5.55 % Backward-rewritten : 18
% 0.15/5.55 % Generated clauses : 103
% 0.15/5.55 % ...of the previous two non-redundant : 92
% 0.15/5.55 % ...aggressively subsumed : 0
% 0.15/5.55 % Contextual simplify-reflections : 0
% 0.15/5.55 % Paramodulations : 102
% 0.15/5.55 % Factorizations : 0
% 0.15/5.55 % NegExts : 0
% 0.15/5.55 % Equation resolutions : 1
% 0.15/5.55 % Disequality decompositions : 0
% 0.15/5.55 % Total rewrite steps : 56
% 0.15/5.55 % ...of those cached : 33
% 0.15/5.55 % Propositional unsat checks : 0
% 0.15/5.55 % Propositional check models : 0
% 0.15/5.55 % Propositional check unsatisfiable : 0
% 0.15/5.55 % Propositional clauses : 0
% 0.15/5.55 % Propositional clauses after purity: 0
% 0.15/5.55 % Propositional unsat core size : 0
% 0.15/5.55 % Propositional preprocessing time : 0.000
% 0.15/5.55 % Propositional encoding time : 0.000
% 0.15/5.55 % Propositional solver time : 0.000
% 0.15/5.55 % Success case prop preproc time : 0.000
% 0.15/5.55 % Success case prop encoding time : 0.000
% 0.15/5.55 % Success case prop solver time : 0.000
% 0.15/5.55 % Current number of processed clauses : 10
% 0.15/5.55 % Positive orientable unit clauses : 9
% 0.15/5.55 % Positive unorientable unit clauses: 1
% 0.15/5.55 % Negative unit clauses : 0
% 0.15/5.55 % Non-unit-clauses : 0
% 0.15/5.55 % Current number of unprocessed clauses: 69
% 0.15/5.55 % ...number of literals in the above : 119
% 0.15/5.55 % Current number of archived formulas : 0
% 0.15/5.55 % Current number of archived clauses : 23
% 0.15/5.55 % Clause-clause subsumption calls (NU) : 52
% 0.15/5.55 % Rec. Clause-clause subsumption calls : 27
% 0.15/5.55 % Non-unit clause-clause subsumptions : 0
% 0.15/5.55 % Unit Clause-clause subsumption calls : 74
% 0.15/5.55 % Rewrite failures with RHS unbound : 49
% 0.15/5.55 % BW rewrite match attempts : 143
% 0.15/5.55 % BW rewrite match successes : 41
% 0.15/5.55 % Condensation attempts : 0
% 0.15/5.55 % Condensation successes : 0
% 0.15/5.55 % Termbank termtop insertions : 1975
% 0.15/5.55 % Search garbage collected termcells : 331
% 0.15/5.55
% 0.15/5.55 % -------------------------------------------------
% 0.15/5.55 % User time : 0.010 s
% 0.15/5.55 % System time : 0.006 s
% 0.15/5.55 % Total time : 0.016 s
% 0.15/5.55 % Maximum resident set size: 3584 pages
% 0.15/5.55
% 0.15/5.55 % -------------------------------------------------
% 0.15/5.55 % User time : 0.029 s
% 0.15/5.55 % System time : 0.018 s
% 0.15/5.55 % Total time : 0.047 s
% 0.15/5.55 % Maximum resident set size: 4608 pages
% 0.15/5.55 % E exiting
%------------------------------------------------------------------------------