%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWB024+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 : n004.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 02:39:11 PM UTC 2026
% Result : Theorem 5.90s 1.90s
% Output : CNFRefutation 5.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 114 ( 40 ~; 38 |; 29 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_subclassof_main,axiom,
! [X5,X6] :
( iext(uri_rdfs_subClassOf,X5,X6)
=> ( ! [X4] :
( icext(X5,X4)
=> icext(X6,X4) )
& ic(X6)
& ic(X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_subclassof_main) ).
fof(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
? [X43] :
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_owl_minCardinality,X43,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X43,uri_ex_hasAncestor)
& iext(uri_rdf_type,X43,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X43)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
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_restrict_mincard_001,axiom,
! [X11,X2] :
( ( iext(uri_owl_onProperty,X11,X2)
& iext(uri_owl_minCardinality,X11,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
=> ! [X4] :
( icext(X11,X4)
<=> ? [X7] : iext(X2,X4,X7) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_restrict_mincard_001) ).
fof(owl_char_transitive,axiom,
! [X2] :
( icext(uri_owl_TransitiveProperty,X2)
<=> ( ! [X4,X7,X11] :
( ( iext(X2,X7,X11)
& iext(X2,X4,X7) )
=> iext(X2,X4,X11) )
& ip(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_transitive) ).
fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
? [X42] :
( iext(uri_ex_hasAncestor,uri_ex_alice,X42)
& iext(uri_ex_hasAncestor,uri_ex_bob,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(c_0_6,plain,
! [X66,X67,X68] :
( ( ~ iext(uri_rdfs_subClassOf,X66,X67)
| icext(X67,X68)
| ~ icext(X66,X68) )
& ( ~ iext(uri_rdfs_subClassOf,X66,X67)
| ic(X67) )
& ( ~ iext(uri_rdfs_subClassOf,X66,X67)
| ic(X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subclassof_main])])])])]) ).
fof(c_0_7,plain,
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_owl_minCardinality,esk192_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,esk192_0,uri_ex_hasAncestor)
& iext(uri_rdf_type,esk192_0,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,esk192_0)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties])]) ).
fof(c_0_8,plain,
! [X50,X51] :
( ( iext(uri_rdf_type,X50,X51)
| ~ icext(X51,X50) )
& ( icext(X51,X50)
| ~ iext(uri_rdf_type,X50,X51) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).
fof(c_0_9,plain,
! [X660,X661,X662,X664,X665] :
( ( ~ iext(uri_owl_onProperty,X660,X661)
| ~ iext(uri_owl_minCardinality,X660,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| icext(X660,X664)
| ~ iext(X661,X664,X665) )
& ( ~ iext(uri_owl_onProperty,X660,X661)
| ~ iext(uri_owl_minCardinality,X660,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| iext(X661,X662,esk86_3(X660,X661,X662))
| ~ icext(X660,X662) ) ),
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_restrict_mincard_001])])])])])])]) ).
cnf(c_0_10,plain,
( ~ iext(uri_rdfs_subClassOf,X1,X3)
| ~ icext(X1,X2)
| icext(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ iext(uri_rdf_type,X1,X2)
| icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X1062,X1063,X1064,X1065,X1066] :
( ( icext(uri_owl_TransitiveProperty,X1066)
| ~ ip(X1066)
| ~ iext(X1066,esk173_1(X1066),esk175_1(X1066)) )
& ( icext(uri_owl_TransitiveProperty,X1066)
| ~ ip(X1066)
| iext(X1066,esk174_1(X1066),esk175_1(X1066)) )
& ( icext(uri_owl_TransitiveProperty,X1066)
| ~ ip(X1066)
| iext(X1066,esk173_1(X1066),esk174_1(X1066)) )
& ( ~ icext(uri_owl_TransitiveProperty,X1062)
| iext(X1062,X1063,X1065)
| ~ iext(X1062,X1064,X1065)
| ~ iext(X1062,X1063,X1064) )
& ( ~ icext(uri_owl_TransitiveProperty,X1062)
| ip(X1062) ) ),
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_transitive])])])])])])]) ).
cnf(c_0_15,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( ~ iext(uri_owl_onProperty,X1,X3)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X1,X2)
| iext(X3,X2,esk86_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
iext(uri_owl_onProperty,esk192_0,uri_ex_hasAncestor),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
iext(uri_owl_minCardinality,esk192_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( ~ icext(uri_ex_Person,X1)
| icext(esk192_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_20,plain,
icext(uri_ex_Person,uri_ex_bob),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_21,negated_conjecture,
~ ? [X42] :
( iext(uri_ex_hasAncestor,uri_ex_alice,X42)
& iext(uri_ex_hasAncestor,uri_ex_bob,X42) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(c_0_22,plain,
( ~ icext(uri_owl_TransitiveProperty,X1)
| ~ iext(X1,X3,X4)
| ~ iext(X1,X2,X3)
| iext(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_24,plain,
( ~ icext(esk192_0,X1)
| iext(uri_ex_hasAncestor,X1,esk86_3(esk192_0,uri_ex_hasAncestor,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_25,plain,
icext(esk192_0,uri_ex_bob),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_26,negated_conjecture,
! [X1250] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X1250)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1250) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_27,plain,
( ~ iext(uri_ex_hasAncestor,X1,X3)
| ~ iext(uri_ex_hasAncestor,X3,X2)
| iext(uri_ex_hasAncestor,X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
iext(uri_ex_hasAncestor,uri_ex_bob,esk86_3(esk192_0,uri_ex_hasAncestor,uri_ex_bob)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( ~ iext(uri_ex_hasAncestor,X1,uri_ex_bob)
| iext(uri_ex_hasAncestor,X1,esk86_3(esk192_0,uri_ex_hasAncestor,uri_ex_bob)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
~ iext(uri_ex_hasAncestor,uri_ex_alice,esk86_3(esk192_0,uri_ex_hasAncestor,uri_ex_bob)),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_33,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB024+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 07:40:38 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 5.90/1.90 % Version: 3.5.1
% 5.90/1.90 % Preprocessing class: FSLMSMSLSSSNFFN.
% 5.90/1.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.90/1.90 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 5.90/1.90 % Starting new_bool_3 with 600s (2) cores
% 5.90/1.90 % Starting new_bool_1 with 600s (2) cores
% 5.90/1.90 % Starting sh5l with 300s (1) cores
% 5.90/1.90 % new_bool_3 with pid 2622544 completed with status 9
% 5.90/1.90 % new_bool_1 with pid 2622545 completed with status 9
% 5.90/1.90 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2622543 completed with status 0
% 5.90/1.90 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 5.90/1.90 % Preprocessing class: FSLMSMSLSSSNFFN.
% 5.90/1.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.90/1.90 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 5.90/1.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.90/1.90 % No SInE strategy applied
% 5.90/1.90 % Search class: FGHSM-SMLM33-SFFFFFNN
% 5.90/1.90 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 5.90/1.90 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 5.90/1.90 % Starting SubtermCWHack with 82s (1) cores
% 5.90/1.90 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 5.90/1.90 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 5.90/1.90 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2622599 completed with status 0
% 5.90/1.90 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 5.90/1.90 % Preprocessing class: FSLMSMSLSSSNFFN.
% 5.90/1.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.90/1.90 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 5.90/1.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.90/1.90 % No SInE strategy applied
% 5.90/1.90 % Search class: FGHSM-SMLM33-SFFFFFNN
% 5.90/1.90 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 5.90/1.90 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 5.90/1.90 % Starting SubtermCWHack with 82s (1) cores
% 5.90/1.90 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 5.90/1.90 % Preprocessing time : 0.018 s
% 5.90/1.90
% 5.90/1.90 % Proof found!
% 5.90/1.90 % SZS status Theorem
% 5.90/1.90 % SZS output start CNFRefutation
% See solution above
% 5.90/1.90 % Parsed axioms : 560
% 5.90/1.90 % Removed by relevancy pruning/SinE : 0
% 5.90/1.90 % Initial clauses : 1275
% 5.90/1.90 % Removed in clause preprocessing : 111
% 5.90/1.90 % Initial clauses in saturation : 1164
% 5.90/1.90 % Processed clauses : 9639
% 5.90/1.90 % ...of these trivial : 1497
% 5.90/1.90 % ...subsumed : 3166
% 5.90/1.90 % ...remaining for further processing : 4976
% 5.90/1.90 % Other redundant clauses eliminated : 16
% 5.90/1.90 % Clauses deleted for lack of memory : 0
% 5.90/1.90 % Backward-subsumed : 36
% 5.90/1.90 % Backward-rewritten : 0
% 5.90/1.90 % Generated clauses : 26248
% 5.90/1.90 % ...of the previous two non-redundant : 20066
% 5.90/1.90 % ...aggressively subsumed : 0
% 5.90/1.90 % Contextual simplify-reflections : 26
% 5.90/1.90 % Paramodulations : 26230
% 5.90/1.90 % Factorizations : 2
% 5.90/1.90 % NegExts : 0
% 5.90/1.90 % Equation resolutions : 16
% 5.90/1.90 % Disequality decompositions : 0
% 5.90/1.90 % Total rewrite steps : 19911
% 5.90/1.90 % ...of those cached : 18514
% 5.90/1.90 % Propositional unsat checks : 0
% 5.90/1.90 % Propositional check models : 0
% 5.90/1.90 % Propositional check unsatisfiable : 0
% 5.90/1.90 % Propositional clauses : 0
% 5.90/1.90 % Propositional clauses after purity: 0
% 5.90/1.90 % Propositional unsat core size : 0
% 5.90/1.90 % Propositional preprocessing time : 0.000
% 5.90/1.90 % Propositional encoding time : 0.000
% 5.90/1.90 % Propositional solver time : 0.000
% 5.90/1.90 % Success case prop preproc time : 0.000
% 5.90/1.90 % Success case prop encoding time : 0.000
% 5.90/1.90 % Success case prop solver time : 0.000
% 5.90/1.90 % Current number of processed clauses : 4924
% 5.90/1.90 % Positive orientable unit clauses : 2276
% 5.90/1.90 % Positive unorientable unit clauses: 0
% 5.90/1.90 % Negative unit clauses : 8
% 5.90/1.90 % Non-unit-clauses : 2640
% 5.90/1.90 % Current number of unprocessed clauses: 11591
% 5.90/1.90 % ...number of literals in the above : 57187
% 5.90/1.90 % Current number of archived formulas : 0
% 5.90/1.90 % Current number of archived clauses : 37
% 5.90/1.90 % Clause-clause subsumption calls (NU) : 1472880
% 5.90/1.90 % Rec. Clause-clause subsumption calls : 748830
% 5.90/1.90 % Non-unit clause-clause subsumptions : 3207
% 5.90/1.90 % Unit Clause-clause subsumption calls : 471206
% 5.90/1.90 % Rewrite failures with RHS unbound : 0
% 5.90/1.90 % BW rewrite match attempts : 1504
% 5.90/1.90 % BW rewrite match successes : 0
% 5.90/1.90 % Condensation attempts : 0
% 5.90/1.90 % Condensation successes : 0
% 5.90/1.90 % Termbank termtop insertions : 466515
% 5.90/1.90 % Search garbage collected termcells : 19089
% 5.90/1.90
% 5.90/1.90 % -------------------------------------------------
% 5.90/1.90 % User time : 1.381 s
% 5.90/1.90 % System time : 0.052 s
% 5.90/1.90 % Total time : 1.433 s
% 5.90/1.90 % Maximum resident set size: 7508 pages
% 5.90/1.90
% 5.90/1.90 % -------------------------------------------------
% 5.90/1.90 % User time : 4.073 s
% 5.90/1.90 % System time : 0.195 s
% 5.90/1.90 % Total time : 4.269 s
% 5.90/1.90 % Maximum resident set size: 5120 pages
% 5.90/1.90 % E exiting
%------------------------------------------------------------------------------