%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB026+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:38:22 PM UTC 2026
% Result : Theorem 24.24s 8.59s
% Output : CNFRefutation 24.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 147 ( 16 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 171 ( 62 ~; 68 |; 33 &)
% ( 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 : 21 ( 21 usr; 15 con; 0-3 aty)
% Number of variables : 59 ( 3 sgn 32 !; 4 ?)
% 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/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).
fof(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
? [X42,X43,X44,X45] :
( iext(uri_rdf_rest,X45,uri_rdf_nil)
& iext(uri_rdf_first,X45,uri_ex_u)
& iext(uri_owl_oneOf,X43,X45)
& iext(uri_rdfs_range,uri_ex_p,X43)
& iext(uri_rdf_rest,X44,uri_rdf_nil)
& iext(uri_rdf_first,X44,uri_ex_w)
& iext(uri_owl_oneOf,X42,X44)
& iext(uri_rdfs_domain,uri_ex_p,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
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/sandbox/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/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).
fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
fof(c_0_6,plain,
! [X353,X354,X355,X356,X357] :
( ( ~ iext(uri_rdf_rest,X354,uri_rdf_nil)
| ~ iext(uri_rdf_first,X354,X355)
| iext(uri_owl_oneOf,X353,X354)
| ~ ic(X353)
| esk11_3(X353,X354,X355) = X355
| icext(X353,esk11_3(X353,X354,X355)) )
& ( ~ iext(uri_rdf_rest,X354,uri_rdf_nil)
| ~ iext(uri_rdf_first,X354,X355)
| iext(uri_owl_oneOf,X353,X354)
| ~ ic(X353)
| esk11_3(X353,X354,X355) != X355
| ~ icext(X353,esk11_3(X353,X354,X355)) )
& ( ~ iext(uri_rdf_rest,X354,uri_rdf_nil)
| ~ iext(uri_rdf_first,X354,X355)
| ~ iext(uri_owl_oneOf,X353,X354)
| icext(X353,X357)
| X357 != X355 )
& ( ~ iext(uri_rdf_rest,X354,uri_rdf_nil)
| ~ iext(uri_rdf_first,X354,X355)
| ~ iext(uri_owl_oneOf,X353,X354)
| X356 = X355
| ~ icext(X353,X356) )
& ( ~ iext(uri_rdf_rest,X354,uri_rdf_nil)
| ~ iext(uri_rdf_first,X354,X355)
| ~ iext(uri_owl_oneOf,X353,X354)
| ic(X353) ) ),
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,esk195_0,uri_rdf_nil)
& iext(uri_rdf_first,esk195_0,uri_ex_u)
& iext(uri_owl_oneOf,esk193_0,esk195_0)
& iext(uri_rdfs_range,uri_ex_p,esk193_0)
& iext(uri_rdf_rest,esk194_0,uri_rdf_nil)
& iext(uri_rdf_first,esk194_0,uri_ex_w)
& iext(uri_owl_oneOf,esk192_0,esk194_0)
& iext(uri_rdfs_domain,uri_ex_p,esk192_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I])]) ).
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,esk194_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X755,X756,X757,X758,X759,X760] :
( ( iext(uri_rdfs_domain,X759,X760)
| ~ ic(X760)
| ~ ip(X759)
| ~ icext(X760,esk105_2(X759,X760)) )
& ( iext(uri_rdfs_domain,X759,X760)
| ~ ic(X760)
| ~ ip(X759)
| iext(X759,esk105_2(X759,X760),esk106_2(X759,X760)) )
& ( ~ iext(uri_rdfs_domain,X755,X756)
| icext(X756,X757)
| ~ iext(X755,X757,X758) )
& ( ~ iext(uri_rdfs_domain,X755,X756)
| ic(X756) )
& ( ~ iext(uri_rdfs_domain,X755,X756)
| ip(X755) ) ),
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,esk194_0)
| ~ iext(uri_rdf_first,esk194_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,esk194_0,uri_ex_w),
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,
! [X1042,X1043,X1044,X1045,X1046] :
( ( icext(uri_owl_InverseFunctionalProperty,X1046)
| ~ ip(X1046)
| esk166_1(X1046) != esk167_1(X1046) )
& ( icext(uri_owl_InverseFunctionalProperty,X1046)
| ~ ip(X1046)
| iext(X1046,esk167_1(X1046),esk168_1(X1046)) )
& ( icext(uri_owl_InverseFunctionalProperty,X1046)
| ~ ip(X1046)
| iext(X1046,esk166_1(X1046),esk168_1(X1046)) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,X1042)
| X1043 = X1044
| ~ iext(X1042,X1044,X1045)
| ~ iext(X1042,X1043,X1045) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,X1042)
| ip(X1042) ) ),
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)],[testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I]) ).
cnf(c_0_18,plain,
( ~ iext(uri_owl_oneOf,X2,esk194_0)
| ~ icext(X2,X1)
| X1 = uri_ex_w ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,plain,
iext(uri_owl_oneOf,esk192_0,esk194_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,
! [X52,X53] :
( ( iext(uri_rdf_type,X52,X53)
| ~ icext(X53,X52) )
& ( icext(X53,X52)
| ~ iext(uri_rdf_type,X52,X53) ) ),
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_w ),
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_w ),
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_w,
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_w
| 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
% 0.00/0.02 % Problem : SWB026+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.37 % Computer : n026.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 07:44:28 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 24.24/8.59 % Version: 3.5.1
% 24.24/8.59 % Preprocessing class: FSLMSMSLSSSNFFN.
% 24.24/8.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.24/8.59 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 24.24/8.59 % Starting new_bool_3 with 600s (2) cores
% 24.24/8.59 % Starting new_bool_1 with 600s (2) cores
% 24.24/8.59 % Starting sh5l with 300s (1) cores
% 24.24/8.59 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1758996 completed with status 0
% 24.24/8.59 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 24.24/8.59 % Preprocessing class: FSLMSMSLSSSNFFN.
% 24.24/8.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.24/8.59 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 24.24/8.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 24.24/8.59 % No SInE strategy applied
% 24.24/8.59 % Search class: FGHSM-SMLM33-SFFFFFNN
% 24.24/8.59 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 24.24/8.59 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 24.24/8.59 % Starting SubtermCWHack with 82s (1) cores
% 24.24/8.59 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 24.24/8.59 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 24.24/8.59 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1759012 completed with status 0
% 24.24/8.59 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 24.24/8.59 % Preprocessing class: FSLMSMSLSSSNFFN.
% 24.24/8.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.24/8.59 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 24.24/8.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 24.24/8.59 % No SInE strategy applied
% 24.24/8.59 % Search class: FGHSM-SMLM33-SFFFFFNN
% 24.24/8.59 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 24.24/8.59 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 24.24/8.59 % Starting SubtermCWHack with 82s (1) cores
% 24.24/8.59 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 24.24/8.59 % Preprocessing time : 0.019 s
% 24.24/8.59
% 24.24/8.59 % Proof found!
% 24.24/8.59 % SZS status Theorem
% 24.24/8.59 % SZS output start CNFRefutation
% See solution above
% 24.24/8.59 % Parsed axioms : 560
% 24.24/8.59 % Removed by relevancy pruning/SinE : 0
% 24.24/8.59 % Initial clauses : 1275
% 24.24/8.59 % Removed in clause preprocessing : 111
% 24.24/8.59 % Initial clauses in saturation : 1164
% 24.24/8.59 % Processed clauses : 17551
% 24.24/8.59 % ...of these trivial : 1631
% 24.24/8.59 % ...subsumed : 7416
% 24.24/8.59 % ...remaining for further processing : 8504
% 24.24/8.59 % Other redundant clauses eliminated : 16
% 24.24/8.59 % Clauses deleted for lack of memory : 0
% 24.24/8.59 % Backward-subsumed : 50
% 24.24/8.59 % Backward-rewritten : 67
% 24.24/8.59 % Generated clauses : 52450
% 24.24/8.59 % ...of the previous two non-redundant : 42182
% 24.24/8.59 % ...aggressively subsumed : 0
% 24.24/8.59 % Contextual simplify-reflections : 70
% 24.24/8.59 % Paramodulations : 52432
% 24.24/8.59 % Factorizations : 2
% 24.24/8.59 % NegExts : 0
% 24.24/8.59 % Equation resolutions : 16
% 24.24/8.59 % Disequality decompositions : 0
% 24.24/8.59 % Total rewrite steps : 36262
% 24.24/8.59 % ...of those cached : 34804
% 24.24/8.59 % Propositional unsat checks : 0
% 24.24/8.59 % Propositional check models : 0
% 24.24/8.59 % Propositional check unsatisfiable : 0
% 24.24/8.59 % Propositional clauses : 0
% 24.24/8.59 % Propositional clauses after purity: 0
% 24.24/8.59 % Propositional unsat core size : 0
% 24.24/8.59 % Propositional preprocessing time : 0.000
% 24.24/8.59 % Propositional encoding time : 0.000
% 24.24/8.59 % Propositional solver time : 0.000
% 24.24/8.59 % Success case prop preproc time : 0.000
% 24.24/8.59 % Success case prop encoding time : 0.000
% 24.24/8.59 % Success case prop solver time : 0.000
% 24.24/8.59 % Current number of processed clauses : 8371
% 24.24/8.59 % Positive orientable unit clauses : 2324
% 24.24/8.59 % Positive unorientable unit clauses: 0
% 24.24/8.59 % Negative unit clauses : 9
% 24.24/8.59 % Non-unit-clauses : 6038
% 24.24/8.59 % Current number of unprocessed clauses: 25763
% 24.24/8.59 % ...number of literals in the above : 113684
% 24.24/8.59 % Current number of archived formulas : 0
% 24.24/8.59 % Current number of archived clauses : 118
% 24.24/8.59 % Clause-clause subsumption calls (NU) : 5324018
% 24.24/8.59 % Rec. Clause-clause subsumption calls : 3727325
% 24.24/8.59 % Non-unit clause-clause subsumptions : 7508
% 24.24/8.59 % Unit Clause-clause subsumption calls : 812800
% 24.24/8.59 % Rewrite failures with RHS unbound : 0
% 24.24/8.59 % BW rewrite match attempts : 1625
% 24.24/8.59 % BW rewrite match successes : 26
% 24.24/8.59 % Condensation attempts : 0
% 24.24/8.59 % Condensation successes : 0
% 24.24/8.59 % Termbank termtop insertions : 798006
% 24.24/8.59 % Search garbage collected termcells : 19085
% 24.24/8.59
% 24.24/8.59 % -------------------------------------------------
% 24.24/8.59 % User time : 3.038 s
% 24.24/8.59 % System time : 0.045 s
% 24.24/8.59 % Total time : 3.083 s
% 24.24/8.59 % Maximum resident set size: 7508 pages
% 24.24/8.59
% 24.24/8.59 % -------------------------------------------------
% 24.24/8.59 % User time : 8.859 s
% 24.24/8.59 % System time : 0.270 s
% 24.24/8.59 % Total time : 9.129 s
% 24.24/8.59 % Maximum resident set size: 5120 pages
% 24.24/8.59 % E exiting
%------------------------------------------------------------------------------