%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB045+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 : n001.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 23.59s 3.96s
% Output : CNFRefutation 23.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 134 ( 13 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 156 ( 57 ~; 64 |; 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 : 53 ( 3 sgn 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_rdfsext_range,axiom,
! [X2,X5] :
( iext(uri_rdfs_range,X2,X5)
<=> ( ! [X4,X7] :
( iext(X2,X4,X7)
=> icext(X5,X7) )
& ip(X5)
& ip(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_range) ).
fof(premise_rdfbased_sem_char_functional_ext,axiom,
? [X42,X37] :
( iext(uri_owl_oneOf,X42,X37)
& iext(uri_rdf_rest,X37,uri_rdf_nil)
& iext(uri_rdf_first,X37,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_functional_ext) ).
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(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(conclusion_rdfbased_sem_char_functional_ext,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_functional_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,
! [X79,X80,X81,X82,X83,X84] :
( ( iext(uri_rdfs_range,X83,X84)
| ~ ip(X84)
| ~ ip(X83)
| ~ icext(X84,esk9_2(X83,X84)) )
& ( iext(uri_rdfs_range,X83,X84)
| ~ ip(X84)
| ~ ip(X83)
| iext(X83,esk8_2(X83,X84),esk9_2(X83,X84)) )
& ( ~ iext(uri_rdfs_range,X79,X80)
| icext(X80,X82)
| ~ iext(X79,X81,X82) )
& ( ~ iext(uri_rdfs_range,X79,X80)
| ip(X80) )
& ( ~ iext(uri_rdfs_range,X79,X80)
| ip(X79) ) ),
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_range])])])])])])]) ).
fof(c_0_7,plain,
( iext(uri_owl_oneOf,esk4_0,esk5_0)
& iext(uri_rdf_rest,esk5_0,uri_rdf_nil)
& iext(uri_rdf_first,esk5_0,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_char_functional_ext])]) ).
fof(c_0_8,plain,
! [X97,X98,X99,X100,X101] :
( ( ~ iext(uri_rdf_rest,X98,uri_rdf_nil)
| ~ iext(uri_rdf_first,X98,X99)
| iext(uri_owl_oneOf,X97,X98)
| ~ ic(X97)
| esk11_3(X97,X98,X99) = X99
| icext(X97,esk11_3(X97,X98,X99)) )
& ( ~ iext(uri_rdf_rest,X98,uri_rdf_nil)
| ~ iext(uri_rdf_first,X98,X99)
| iext(uri_owl_oneOf,X97,X98)
| ~ ic(X97)
| esk11_3(X97,X98,X99) != X99
| ~ icext(X97,esk11_3(X97,X98,X99)) )
& ( ~ iext(uri_rdf_rest,X98,uri_rdf_nil)
| ~ iext(uri_rdf_first,X98,X99)
| ~ iext(uri_owl_oneOf,X97,X98)
| icext(X97,X101)
| X101 != X99 )
& ( ~ iext(uri_rdf_rest,X98,uri_rdf_nil)
| ~ iext(uri_rdf_first,X98,X99)
| ~ iext(uri_owl_oneOf,X97,X98)
| X100 = X99
| ~ icext(X97,X100) )
& ( ~ iext(uri_rdf_rest,X98,uri_rdf_nil)
| ~ iext(uri_rdf_first,X98,X99)
| ~ iext(uri_owl_oneOf,X97,X98)
| ic(X97) ) ),
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])])])])])])]) ).
cnf(c_0_9,plain,
( ~ iext(uri_rdfs_range,X1,X4)
| ~ iext(X1,X2,X3)
| icext(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
iext(uri_rdfs_range,uri_ex_p,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X47,X48,X49,X50,X51] :
( ( icext(uri_owl_FunctionalProperty,X51)
| ~ ip(X51)
| esk2_1(X51) != esk3_1(X51) )
& ( icext(uri_owl_FunctionalProperty,X51)
| ~ ip(X51)
| iext(X51,esk1_1(X51),esk3_1(X51)) )
& ( icext(uri_owl_FunctionalProperty,X51)
| ~ ip(X51)
| iext(X51,esk1_1(X51),esk2_1(X51)) )
& ( ~ icext(uri_owl_FunctionalProperty,X47)
| X49 = X50
| ~ iext(X47,X48,X50)
| ~ iext(X47,X48,X49) )
& ( ~ icext(uri_owl_FunctionalProperty,X47)
| ip(X47) ) ),
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_12,plain,
( ~ iext(uri_rdfs_range,X1,X2)
| ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
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,esk5_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
iext(uri_rdf_rest,esk5_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( ~ iext(uri_ex_p,X2,X1)
| icext(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_17,plain,
( ~ ip(X1)
| icext(uri_owl_FunctionalProperty,X1)
| iext(X1,esk1_1(X1),esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_19,plain,
( ~ ip(X1)
| icext(uri_owl_FunctionalProperty,X1)
| iext(X1,esk1_1(X1),esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_20,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_char_functional_ext]) ).
cnf(c_0_21,plain,
( ~ iext(uri_owl_oneOf,X2,esk5_0)
| ~ icext(X2,X1)
| X1 = uri_ex_y ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_22,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_p)
| icext(esk4_0,esk3_1(uri_ex_p)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_23,plain,
iext(uri_owl_oneOf,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_p)
| icext(esk4_0,esk2_1(uri_ex_p)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_18])]) ).
fof(c_0_25,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X58,X59] :
( ( iext(uri_rdf_type,X58,X59)
| ~ icext(X59,X58) )
& ( icext(X59,X58)
| ~ iext(uri_rdf_type,X58,X59) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).
cnf(c_0_27,plain,
( ~ ip(X1)
| esk2_1(X1) != esk3_1(X1)
| icext(uri_owl_FunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_p)
| esk3_1(uri_ex_p) = uri_ex_y ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_29,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_p)
| esk2_1(uri_ex_p) = uri_ex_y ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_24]),c_0_23])]) ).
fof(c_0_30,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( ~ icext(X1,X2)
| iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
icext(uri_owl_FunctionalProperty,uri_ex_p),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18])]),c_0_29]) ).
cnf(c_0_33,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB045+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 07:49:29 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 23.59/3.96 % Version: 3.5.1
% 23.59/3.96 % Preprocessing class: FSLMSMSLSSSNFFN.
% 23.59/3.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.59/3.96 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 23.59/3.96 % Starting new_bool_3 with 600s (2) cores
% 23.59/3.96 % Starting new_bool_1 with 600s (2) cores
% 23.59/3.96 % Starting sh5l with 300s (1) cores
% 23.59/3.96 % sh5l with pid 2598128 completed with status 0
% 23.59/3.96 % Result found by sh5l
% 23.59/3.96 % Preprocessing class: FSLMSMSLSSSNFFN.
% 23.59/3.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.59/3.96 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 23.59/3.96 % Starting new_bool_3 with 600s (2) cores
% 23.59/3.96 % Starting new_bool_1 with 600s (2) cores
% 23.59/3.96 % Starting sh5l with 300s (1) cores
% 23.59/3.96 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 23.59/3.96 % SinE strategy is gf500_gu_R04_F100_L20000
% 23.59/3.96 % Search class: FGHSF-FMLM33-SFFFFFNN
% 23.59/3.96 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 23.59/3.96 % Starting SubtermCWHack with 31s (1) cores
% 23.59/3.96 % SubtermCWHack with pid 2598133 completed with status 0
% 23.59/3.96 % Result found by SubtermCWHack
% 23.59/3.96 % Preprocessing class: FSLMSMSLSSSNFFN.
% 23.59/3.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.59/3.96 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 23.59/3.96 % Starting new_bool_3 with 600s (2) cores
% 23.59/3.96 % Starting new_bool_1 with 600s (2) cores
% 23.59/3.96 % Starting sh5l with 300s (1) cores
% 23.59/3.96 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 23.59/3.96 % SinE strategy is gf500_gu_R04_F100_L20000
% 23.59/3.96 % Search class: FGHSF-FMLM33-SFFFFFNN
% 23.59/3.96 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 23.59/3.96 % Starting SubtermCWHack with 31s (1) cores
% 23.59/3.96 % Preprocessing time : 0.008 s
% 23.59/3.96
% 23.59/3.96 % Proof found!
% 23.59/3.96 % SZS status Theorem
% 23.59/3.96 % SZS output start CNFRefutation
% See solution above
% 23.59/3.96 % Parsed axioms : 560
% 23.59/3.96 % Removed by relevancy pruning/SinE : 213
% 23.59/3.96 % Initial clauses : 960
% 23.59/3.96 % Removed in clause preprocessing : 40
% 23.59/3.96 % Initial clauses in saturation : 920
% 23.59/3.96 % Processed clauses : 14416
% 23.59/3.96 % ...of these trivial : 77
% 23.59/3.96 % ...subsumed : 6249
% 23.59/3.96 % ...remaining for further processing : 8090
% 23.59/3.96 % Other redundant clauses eliminated : 14
% 23.59/3.96 % Clauses deleted for lack of memory : 0
% 23.59/3.96 % Backward-subsumed : 142
% 23.59/3.96 % Backward-rewritten : 9
% 23.59/3.96 % Generated clauses : 202040
% 23.59/3.96 % ...of the previous two non-redundant : 195512
% 23.59/3.96 % ...aggressively subsumed : 0
% 23.59/3.96 % Contextual simplify-reflections : 43
% 23.59/3.96 % Paramodulations : 202014
% 23.59/3.96 % Factorizations : 12
% 23.59/3.96 % NegExts : 0
% 23.59/3.96 % Equation resolutions : 14
% 23.59/3.96 % Disequality decompositions : 0
% 23.59/3.96 % Total rewrite steps : 18028
% 23.59/3.96 % ...of those cached : 17480
% 23.59/3.96 % Propositional unsat checks : 0
% 23.59/3.96 % Propositional check models : 0
% 23.59/3.96 % Propositional check unsatisfiable : 0
% 23.59/3.96 % Propositional clauses : 0
% 23.59/3.96 % Propositional clauses after purity: 0
% 23.59/3.96 % Propositional unsat core size : 0
% 23.59/3.96 % Propositional preprocessing time : 0.000
% 23.59/3.96 % Propositional encoding time : 0.000
% 23.59/3.96 % Propositional solver time : 0.000
% 23.59/3.96 % Success case prop preproc time : 0.000
% 23.59/3.96 % Success case prop encoding time : 0.000
% 23.59/3.96 % Success case prop solver time : 0.000
% 23.59/3.96 % Current number of processed clauses : 7925
% 23.59/3.96 % Positive orientable unit clauses : 675
% 23.59/3.96 % Positive unorientable unit clauses: 0
% 23.59/3.96 % Negative unit clauses : 33
% 23.59/3.96 % Non-unit-clauses : 7217
% 23.59/3.96 % Current number of unprocessed clauses: 181631
% 23.59/3.96 % ...number of literals in the above : 1581275
% 23.59/3.96 % Current number of archived formulas : 0
% 23.59/3.96 % Current number of archived clauses : 151
% 23.59/3.96 % Clause-clause subsumption calls (NU) : 5848949
% 23.59/3.96 % Rec. Clause-clause subsumption calls : 3643288
% 23.59/3.96 % Non-unit clause-clause subsumptions : 5558
% 23.59/3.96 % Unit Clause-clause subsumption calls : 43648
% 23.59/3.96 % Rewrite failures with RHS unbound : 0
% 23.59/3.96 % BW rewrite match attempts : 256
% 23.59/3.96 % BW rewrite match successes : 2
% 23.59/3.96 % Condensation attempts : 0
% 23.59/3.96 % Condensation successes : 0
% 23.59/3.96 % Termbank termtop insertions : 5081093
% 23.59/3.96 % Search garbage collected termcells : 17391
% 23.59/3.96
% 23.59/3.96 % -------------------------------------------------
% 23.59/3.96 % User time : 3.359 s
% 23.59/3.96 % System time : 0.113 s
% 23.59/3.96 % Total time : 3.472 s
% 23.59/3.96 % Maximum resident set size: 7252 pages
% 23.59/3.96
% 23.59/3.96 % -------------------------------------------------
% 23.59/3.96 % User time : 3.367 s
% 23.59/3.96 % System time : 0.117 s
% 23.59/3.96 % Total time : 3.483 s
% 23.59/3.96 % Maximum resident set size: 5120 pages
% 23.59/3.96 % E exiting
%------------------------------------------------------------------------------