%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB047+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 : n016.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 17.48s 3.56s
% Output : CNFRefutation 17.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 12 unt; 0 def)
% Number of atoms : 128 ( 12 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 143 ( 52 ~; 60 |; 23 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 61 ( 1 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(owl_inv,axiom,
! [X33,X34] :
( iext(uri_owl_inverseOf,X33,X34)
<=> ( ! [X4,X7] :
( iext(X33,X4,X7)
<=> iext(X34,X7,X4) )
& ip(X34)
& ip(X33) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_inv) ).
fof(owl_prop_inverseof_ext,axiom,
! [X4,X7] :
( iext(uri_owl_inverseOf,X4,X7)
=> ( ip(X7)
& ip(X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_inverseof_ext) ).
fof(owl_char_functional,axiom,
! [X2] :
( icext(uri_owl_FunctionalProperty,X2)
<=> ( ! [X4,X27,X28] :
( ( iext(X2,X4,X28)
& iext(X2,X4,X27) )
=> X27 = X28 )
& ip(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_functional) ).
fof(premise_rdfbased_sem_char_inversefunc_term,axiom,
( iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty)
& iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_inversefunc_term) ).
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_term,conjecture,
iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_inversefunc_term) ).
fof(c_0_7,plain,
! [X48,X49] :
( ( iext(uri_rdf_type,X48,X49)
| ~ icext(X49,X48) )
& ( icext(X49,X48)
| ~ iext(uri_rdf_type,X48,X49) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).
fof(c_0_8,plain,
! [X1014,X1015,X1016,X1017,X1018,X1019,X1020,X1021] :
( ( iext(uri_owl_inverseOf,X1020,X1021)
| ~ ip(X1021)
| ~ ip(X1020)
| iext(X1021,esk160_2(X1020,X1021),esk159_2(X1020,X1021))
| iext(X1020,esk159_2(X1020,X1021),esk160_2(X1020,X1021)) )
& ( iext(uri_owl_inverseOf,X1020,X1021)
| ~ ip(X1021)
| ~ ip(X1020)
| ~ iext(X1021,esk160_2(X1020,X1021),esk159_2(X1020,X1021))
| ~ iext(X1020,esk159_2(X1020,X1021),esk160_2(X1020,X1021)) )
& ( ~ iext(uri_owl_inverseOf,X1014,X1015)
| iext(X1014,X1018,X1019)
| ~ iext(X1015,X1019,X1018) )
& ( ~ iext(uri_owl_inverseOf,X1014,X1015)
| iext(X1015,X1017,X1016)
| ~ iext(X1014,X1016,X1017) )
& ( ~ iext(uri_owl_inverseOf,X1014,X1015)
| ip(X1015) )
& ( ~ iext(uri_owl_inverseOf,X1014,X1015)
| ip(X1014) ) ),
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_inv])])])])])])]) ).
fof(c_0_9,plain,
! [X194,X195] :
( ( ~ iext(uri_owl_inverseOf,X194,X195)
| ip(X195) )
& ( ~ iext(uri_owl_inverseOf,X194,X195)
| ip(X194) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_inverseof_ext])])])]) ).
fof(c_0_10,plain,
! [X1030,X1031,X1032,X1033,X1034] :
( ( icext(uri_owl_FunctionalProperty,X1034)
| ~ ip(X1034)
| esk164_1(X1034) != esk165_1(X1034) )
& ( icext(uri_owl_FunctionalProperty,X1034)
| ~ ip(X1034)
| iext(X1034,esk163_1(X1034),esk165_1(X1034)) )
& ( icext(uri_owl_FunctionalProperty,X1034)
| ~ ip(X1034)
| iext(X1034,esk163_1(X1034),esk164_1(X1034)) )
& ( ~ icext(uri_owl_FunctionalProperty,X1030)
| X1032 = X1033
| ~ iext(X1030,X1031,X1033)
| ~ iext(X1030,X1031,X1032) )
& ( ~ icext(uri_owl_FunctionalProperty,X1030)
| ip(X1030) ) ),
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_functional])])])])])])]) ).
cnf(c_0_11,plain,
( ~ iext(uri_rdf_type,X1,X2)
| icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_char_inversefunc_term]) ).
cnf(c_0_13,plain,
( ~ iext(uri_owl_inverseOf,X1,X4)
| ~ iext(X1,X2,X3)
| iext(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_char_inversefunc_term]) ).
fof(c_0_15,plain,
! [X1038,X1039,X1040,X1041,X1042] :
( ( icext(uri_owl_InverseFunctionalProperty,X1042)
| ~ ip(X1042)
| esk166_1(X1042) != esk167_1(X1042) )
& ( icext(uri_owl_InverseFunctionalProperty,X1042)
| ~ ip(X1042)
| iext(X1042,esk167_1(X1042),esk168_1(X1042)) )
& ( icext(uri_owl_InverseFunctionalProperty,X1042)
| ~ ip(X1042)
| iext(X1042,esk166_1(X1042),esk168_1(X1042)) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,X1038)
| X1039 = X1040
| ~ iext(X1038,X1040,X1041)
| ~ iext(X1038,X1039,X1041) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,X1038)
| ip(X1038) ) ),
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_owl_inverseOf,X1,X2)
| ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( ~ icext(uri_owl_FunctionalProperty,X1)
| ~ iext(X1,X2,X4)
| ~ iext(X1,X2,X3)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
icext(uri_owl_FunctionalProperty,uri_ex_p1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,plain,
( ~ iext(uri_ex_p2,X2,X1)
| iext(uri_ex_p1,X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,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_21,plain,
ip(uri_ex_p2),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
fof(c_0_22,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_char_inversefunc_term]) ).
cnf(c_0_23,plain,
( ~ iext(uri_ex_p1,X3,X1)
| ~ iext(uri_ex_p1,X3,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( iext(uri_ex_p1,esk168_1(uri_ex_p2),esk167_1(uri_ex_p2))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_25,plain,
( ~ ip(X1)
| icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk166_1(X1),esk168_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_26,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( ~ iext(uri_ex_p1,esk168_1(uri_ex_p2),X1)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| X1 = esk167_1(uri_ex_p2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( iext(uri_ex_p1,esk168_1(uri_ex_p2),esk166_1(uri_ex_p2))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_25]),c_0_21])]) ).
fof(c_0_29,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(fof_nnf,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( ~ icext(X1,X2)
| iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_31,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| esk167_1(uri_ex_p2) = esk166_1(uri_ex_p2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,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_34,plain,
esk167_1(uri_ex_p2) = esk166_1(uri_ex_p2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_35,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_21])]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB047+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n016.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 07:48:38 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.52 Running first-order theorem proving
% 0.20/0.52 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
% 17.48/3.56 % Version: 3.5.1
% 17.48/3.56 % Preprocessing class: FSLMSMSLSSSNFFN.
% 17.48/3.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.48/3.56 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 17.48/3.56 % Starting new_bool_3 with 600s (2) cores
% 17.48/3.56 % Starting new_bool_1 with 600s (2) cores
% 17.48/3.56 % Starting sh5l with 300s (1) cores
% 17.48/3.56 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1938841 completed with status 0
% 17.48/3.56 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 17.48/3.56 % Preprocessing class: FSLMSMSLSSSNFFN.
% 17.48/3.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.48/3.56 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 17.48/3.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 17.48/3.56 % No SInE strategy applied
% 17.48/3.56 % Search class: FGHSM-SMLM33-SFFFFFNN
% 17.48/3.56 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 17.48/3.56 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 17.48/3.56 % Starting SubtermCWHack with 82s (1) cores
% 17.48/3.56 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 17.48/3.56 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 17.48/3.56 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1938857 completed with status 0
% 17.48/3.56 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 17.48/3.56 % Preprocessing class: FSLMSMSLSSSNFFN.
% 17.48/3.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.48/3.56 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 17.48/3.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 17.48/3.56 % No SInE strategy applied
% 17.48/3.56 % Search class: FGHSM-SMLM33-SFFFFFNN
% 17.48/3.56 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 17.48/3.56 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 17.48/3.56 % Starting SubtermCWHack with 82s (1) cores
% 17.48/3.56 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 17.48/3.56 % Preprocessing time : 0.030 s
% 17.48/3.56
% 17.48/3.56 % Proof found!
% 17.48/3.56 % SZS status Theorem
% 17.48/3.56 % SZS output start CNFRefutation
% See solution above
% 17.48/3.56 % Parsed axioms : 560
% 17.48/3.56 % Removed by relevancy pruning/SinE : 0
% 17.48/3.56 % Initial clauses : 1269
% 17.48/3.56 % Removed in clause preprocessing : 111
% 17.48/3.56 % Initial clauses in saturation : 1158
% 17.48/3.56 % Processed clauses : 11223
% 17.48/3.56 % ...of these trivial : 1543
% 17.48/3.56 % ...subsumed : 4172
% 17.48/3.56 % ...remaining for further processing : 5508
% 17.48/3.56 % Other redundant clauses eliminated : 16
% 17.48/3.56 % Clauses deleted for lack of memory : 0
% 17.48/3.56 % Backward-subsumed : 35
% 17.48/3.56 % Backward-rewritten : 12
% 17.48/3.56 % Generated clauses : 28901
% 17.48/3.56 % ...of the previous two non-redundant : 22285
% 17.48/3.56 % ...aggressively subsumed : 0
% 17.48/3.56 % Contextual simplify-reflections : 29
% 17.48/3.56 % Paramodulations : 28883
% 17.48/3.56 % Factorizations : 2
% 17.48/3.56 % NegExts : 0
% 17.48/3.56 % Equation resolutions : 16
% 17.48/3.56 % Disequality decompositions : 0
% 17.48/3.56 % Total rewrite steps : 20919
% 17.48/3.56 % ...of those cached : 19559
% 17.48/3.56 % Propositional unsat checks : 0
% 17.48/3.56 % Propositional check models : 0
% 17.48/3.56 % Propositional check unsatisfiable : 0
% 17.48/3.56 % Propositional clauses : 0
% 17.48/3.56 % Propositional clauses after purity: 0
% 17.48/3.56 % Propositional unsat core size : 0
% 17.48/3.56 % Propositional preprocessing time : 0.000
% 17.48/3.56 % Propositional encoding time : 0.000
% 17.48/3.56 % Propositional solver time : 0.000
% 17.48/3.56 % Success case prop preproc time : 0.000
% 17.48/3.56 % Success case prop encoding time : 0.000
% 17.48/3.56 % Success case prop solver time : 0.000
% 17.48/3.56 % Current number of processed clauses : 5445
% 17.48/3.56 % Positive orientable unit clauses : 2222
% 17.48/3.56 % Positive unorientable unit clauses: 0
% 17.48/3.56 % Negative unit clauses : 8
% 17.48/3.56 % Non-unit-clauses : 3215
% 17.48/3.56 % Current number of unprocessed clauses: 12219
% 17.48/3.56 % ...number of literals in the above : 59383
% 17.48/3.56 % Current number of archived formulas : 0
% 17.48/3.56 % Current number of archived clauses : 48
% 17.48/3.56 % Clause-clause subsumption calls (NU) : 1776464
% 17.48/3.56 % Rec. Clause-clause subsumption calls : 988730
% 17.48/3.56 % Non-unit clause-clause subsumptions : 4217
% 17.48/3.56 % Unit Clause-clause subsumption calls : 724015
% 17.48/3.56 % Rewrite failures with RHS unbound : 0
% 17.48/3.56 % BW rewrite match attempts : 1494
% 17.48/3.56 % BW rewrite match successes : 2
% 17.48/3.56 % Condensation attempts : 0
% 17.48/3.56 % Condensation successes : 0
% 17.48/3.56 % Termbank termtop insertions : 490263
% 17.48/3.56 % Search garbage collected termcells : 19086
% 17.48/3.56
% 17.48/3.56 % -------------------------------------------------
% 17.48/3.56 % User time : 2.632 s
% 17.48/3.56 % System time : 0.057 s
% 17.48/3.56 % Total time : 2.689 s
% 17.48/3.56 % Maximum resident set size: 7252 pages
% 17.48/3.56
% 17.48/3.56 % -------------------------------------------------
% 17.48/3.56 % User time : 8.034 s
% 17.48/3.56 % System time : 0.225 s
% 17.48/3.56 % Total time : 8.260 s
% 17.48/3.56 % Maximum resident set size: 5120 pages
% 17.48/3.56 % E exiting
%------------------------------------------------------------------------------