%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB046+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 : n005.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 02:38:34 PM UTC 2026
% Result : Theorem 33.95s 5.51s
% Output : CNFRefutation 33.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 141 ( 16 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 165 ( 62 ~; 68 |; 27 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-3 aty)
% Number of variables : 57 ( 3 sgn 32 !; 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_char_inversefunc_ext,axiom,
? [X37,X42] :
( iext(uri_rdfs_domain,uri_ex_p,X37)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,X37,X42)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_rdf_first,X42,uri_ex_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_inversefunc_ext) ).
fof(owl_rdfsext_domain,axiom,
! [X2,X5] :
( iext(uri_rdfs_domain,X2,X5)
<=> ( ! [X4,X7] :
( iext(X2,X4,X7)
=> icext(X5,X4) )
& ic(X5)
& ip(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_domain) ).
fof(owl_char_inversefunctional,axiom,
! [X2] :
( icext(uri_owl_InverseFunctionalProperty,X2)
<=> ( ! [X37,X38,X7] :
( ( iext(X2,X38,X7)
& iext(X2,X37,X7) )
=> X37 = X38 )
& ip(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).
fof(conclusion_rdfbased_sem_char_inversefunc_ext,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_inversefunc_ext) ).
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
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_rdfs_domain,uri_ex_p,esk192_0)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,esk192_0,esk193_0)
& iext(uri_rdf_rest,esk193_0,uri_rdf_nil)
& iext(uri_rdf_first,esk193_0,uri_ex_x) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_char_inversefunc_ext])]) ).
cnf(c_0_8,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_9,plain,
iext(uri_rdf_rest,esk193_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X752,X753,X754,X755,X756,X757] :
( ( iext(uri_rdfs_domain,X756,X757)
| ~ ic(X757)
| ~ ip(X756)
| ~ icext(X757,esk105_2(X756,X757)) )
& ( iext(uri_rdfs_domain,X756,X757)
| ~ ic(X757)
| ~ ip(X756)
| iext(X756,esk105_2(X756,X757),esk106_2(X756,X757)) )
& ( ~ iext(uri_rdfs_domain,X752,X753)
| icext(X753,X754)
| ~ iext(X752,X754,X755) )
& ( ~ iext(uri_rdfs_domain,X752,X753)
| ic(X753) )
& ( ~ iext(uri_rdfs_domain,X752,X753)
| ip(X752) ) ),
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_rdfsext_domain])])])])])])]) ).
cnf(c_0_11,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_8,c_0_9]) ).
cnf(c_0_12,plain,
iext(uri_rdf_first,esk193_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ~ iext(uri_rdfs_domain,X1,X4)
| ~ iext(X1,X2,X3)
| icext(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
iext(uri_rdfs_domain,uri_ex_p,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X1039,X1040,X1041,X1042,X1043] :
( ( icext(uri_owl_InverseFunctionalProperty,X1043)
| ~ ip(X1043)
| esk166_1(X1043) != esk167_1(X1043) )
& ( icext(uri_owl_InverseFunctionalProperty,X1043)
| ~ ip(X1043)
| iext(X1043,esk167_1(X1043),esk168_1(X1043)) )
& ( icext(uri_owl_InverseFunctionalProperty,X1043)
| ~ ip(X1043)
| iext(X1043,esk166_1(X1043),esk168_1(X1043)) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,X1039)
| X1040 = X1041
| ~ iext(X1039,X1041,X1042)
| ~ iext(X1039,X1040,X1042) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,X1039)
| ip(X1039) ) ),
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_char_inversefunctional])])])])])])]) ).
cnf(c_0_16,plain,
( ~ iext(uri_rdfs_domain,X1,X2)
| ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_char_inversefunc_ext]) ).
cnf(c_0_18,plain,
( ~ iext(uri_owl_oneOf,X2,esk193_0)
| ~ icext(X2,X1)
| X1 = uri_ex_x ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,plain,
iext(uri_owl_oneOf,esk192_0,esk193_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( ~ iext(uri_ex_p,X1,X2)
| icext(esk192_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( ~ ip(X1)
| icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk167_1(X1),esk168_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
fof(c_0_23,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_24,plain,
! [X49,X50] :
( ( iext(uri_rdf_type,X49,X50)
| ~ icext(X50,X49) )
& ( icext(X50,X49)
| ~ iext(uri_rdf_type,X49,X50) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).
cnf(c_0_25,plain,
( ~ icext(esk192_0,X1)
| X1 = uri_ex_x ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(esk192_0,esk167_1(uri_ex_p)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
fof(c_0_27,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_nnf,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( ~ icext(X1,X2)
| iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| esk167_1(uri_ex_p) = uri_ex_x ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( ~ ip(X1)
| icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk166_1(X1),esk168_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,plain,
( ~ ip(X1)
| esk166_1(X1) != esk167_1(X1)
| icext(uri_owl_InverseFunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
esk167_1(uri_ex_p) = uri_ex_x,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(esk192_0,esk166_1(uri_ex_p)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_31]),c_0_22])]) ).
cnf(c_0_35,plain,
( esk166_1(uri_ex_p) != uri_ex_x
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22])]) ).
cnf(c_0_36,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_34]),c_0_35]) ).
cnf(c_0_37,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_36]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB046+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n005.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 07:43:33 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 33.95/5.51 % Version: 3.5.1
% 33.95/5.51 % Preprocessing class: FSLMSMSLSSSNFFN.
% 33.95/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.95/5.51 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 33.95/5.51 % Starting new_bool_3 with 600s (2) cores
% 33.95/5.51 % Starting new_bool_1 with 600s (2) cores
% 33.95/5.51 % Starting sh5l with 300s (1) cores
% 33.95/5.51 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2930507 completed with status 0
% 33.95/5.51 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 33.95/5.51 % Preprocessing class: FSLMSMSLSSSNFFN.
% 33.95/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.95/5.51 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 33.95/5.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 33.95/5.51 % No SInE strategy applied
% 33.95/5.51 % Search class: FGHSM-SMLM33-SFFFFFNN
% 33.95/5.51 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 33.95/5.51 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 33.95/5.51 % Starting SubtermCWHack with 82s (1) cores
% 33.95/5.51 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 33.95/5.51 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 33.95/5.51 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2930523 completed with status 0
% 33.95/5.51 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 33.95/5.51 % Preprocessing class: FSLMSMSLSSSNFFN.
% 33.95/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.95/5.51 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 33.95/5.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 33.95/5.51 % No SInE strategy applied
% 33.95/5.51 % Search class: FGHSM-SMLM33-SFFFFFNN
% 33.95/5.51 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 33.95/5.51 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 33.95/5.51 % Starting SubtermCWHack with 82s (1) cores
% 33.95/5.51 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 33.95/5.51 % Preprocessing time : 0.029 s
% 33.95/5.51
% 33.95/5.51 % Proof found!
% 33.95/5.51 % SZS status Theorem
% 33.95/5.51 % SZS output start CNFRefutation
% See solution above
% 33.95/5.51 % Parsed axioms : 560
% 33.95/5.51 % Removed by relevancy pruning/SinE : 0
% 33.95/5.51 % Initial clauses : 1272
% 33.95/5.51 % Removed in clause preprocessing : 111
% 33.95/5.51 % Initial clauses in saturation : 1161
% 33.95/5.51 % Processed clauses : 17085
% 33.95/5.51 % ...of these trivial : 1615
% 33.95/5.51 % ...subsumed : 7211
% 33.95/5.51 % ...remaining for further processing : 8259
% 33.95/5.51 % Other redundant clauses eliminated : 16
% 33.95/5.51 % Clauses deleted for lack of memory : 0
% 33.95/5.51 % Backward-subsumed : 38
% 33.95/5.51 % Backward-rewritten : 20
% 33.95/5.51 % Generated clauses : 50819
% 33.95/5.51 % ...of the previous two non-redundant : 40834
% 33.95/5.51 % ...aggressively subsumed : 0
% 33.95/5.51 % Contextual simplify-reflections : 68
% 33.95/5.51 % Paramodulations : 50801
% 33.95/5.51 % Factorizations : 2
% 33.95/5.51 % NegExts : 0
% 33.95/5.51 % Equation resolutions : 16
% 33.95/5.51 % Disequality decompositions : 0
% 33.95/5.51 % Total rewrite steps : 35376
% 33.95/5.51 % ...of those cached : 33934
% 33.95/5.51 % Propositional unsat checks : 0
% 33.95/5.51 % Propositional check models : 0
% 33.95/5.51 % Propositional check unsatisfiable : 0
% 33.95/5.51 % Propositional clauses : 0
% 33.95/5.51 % Propositional clauses after purity: 0
% 33.95/5.51 % Propositional unsat core size : 0
% 33.95/5.51 % Propositional preprocessing time : 0.000
% 33.95/5.51 % Propositional encoding time : 0.000
% 33.95/5.51 % Propositional solver time : 0.000
% 33.95/5.51 % Success case prop preproc time : 0.000
% 33.95/5.51 % Success case prop encoding time : 0.000
% 33.95/5.51 % Success case prop solver time : 0.000
% 33.95/5.51 % Current number of processed clauses : 8185
% 33.95/5.51 % Positive orientable unit clauses : 2299
% 33.95/5.51 % Positive unorientable unit clauses: 0
% 33.95/5.51 % Negative unit clauses : 9
% 33.95/5.51 % Non-unit-clauses : 5877
% 33.95/5.51 % Current number of unprocessed clauses: 24909
% 33.95/5.51 % ...number of literals in the above : 109514
% 33.95/5.51 % Current number of archived formulas : 0
% 33.95/5.51 % Current number of archived clauses : 59
% 33.95/5.51 % Clause-clause subsumption calls (NU) : 5016124
% 33.95/5.51 % Rec. Clause-clause subsumption calls : 3509585
% 33.95/5.51 % Non-unit clause-clause subsumptions : 7290
% 33.95/5.51 % Unit Clause-clause subsumption calls : 783600
% 33.95/5.51 % Rewrite failures with RHS unbound : 0
% 33.95/5.51 % BW rewrite match attempts : 1605
% 33.95/5.51 % BW rewrite match successes : 12
% 33.95/5.51 % Condensation attempts : 0
% 33.95/5.51 % Condensation successes : 0
% 33.95/5.51 % Termbank termtop insertions : 776266
% 33.95/5.51 % Search garbage collected termcells : 19072
% 33.95/5.51
% 33.95/5.51 % -------------------------------------------------
% 33.95/5.51 % User time : 4.744 s
% 33.95/5.51 % System time : 0.087 s
% 33.95/5.51 % Total time : 4.831 s
% 33.95/5.51 % Maximum resident set size: 7508 pages
% 33.95/5.51
% 33.95/5.51 % -------------------------------------------------
% 33.95/5.51 % User time : 13.709 s
% 33.95/5.51 % System time : 0.326 s
% 33.95/5.51 % Total time : 14.035 s
% 33.95/5.51 % Maximum resident set size: 5120 pages
% 33.95/5.51 % E exiting
%------------------------------------------------------------------------------