%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB023+2 : 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 02:38:17 PM UTC 2026
% Result : Theorem 0.18s 10.55s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 125 ( 21 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 147 ( 56 ~; 56 |; 28 &)
% ( 5 <=>; 2 =>; 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 : 17 ( 17 usr; 13 con; 0-3 aty)
% Number of variables : 53 ( 0 sgn 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_char_functional,axiom,
! [X6] :
( icext(uri_owl_FunctionalProperty,X6)
<=> ( ! [X1,X7,X8] :
( ( iext(X6,X1,X8)
& iext(X6,X1,X7) )
=> X7 = X8 )
& ip(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
? [X10,X11] :
( iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_first,X11,uri_ex_v)
& iext(uri_rdf_first,X11,uri_ex_u)
& iext(uri_owl_oneOf,X10,X11)
& iext(uri_rdf_type,X10,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X10)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(owl_enum_class_001,axiom,
! [X3,X4,X5] :
( ( iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,X5) )
=> ( iext(uri_owl_oneOf,X3,X4)
<=> ( ! [X1] :
( icext(X3,X1)
<=> X1 = X5 )
& ic(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(owl_eqdis_sameas,axiom,
! [X1,X9] :
( iext(uri_owl_sameAs,X1,X9)
<=> X1 = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(c_0_6,plain,
! [X20,X21,X22,X23,X24] :
( ( icext(uri_owl_FunctionalProperty,X24)
| ~ ip(X24)
| esk3_1(X24) != esk4_1(X24) )
& ( icext(uri_owl_FunctionalProperty,X24)
| ~ ip(X24)
| iext(X24,esk2_1(X24),esk4_1(X24)) )
& ( icext(uri_owl_FunctionalProperty,X24)
| ~ ip(X24)
| iext(X24,esk2_1(X24),esk3_1(X24)) )
& ( ~ icext(uri_owl_FunctionalProperty,X20)
| X22 = X23
| ~ iext(X20,X21,X23)
| ~ iext(X20,X21,X22) )
& ( ~ icext(uri_owl_FunctionalProperty,X20)
| ip(X20) ) ),
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])])])])])])]) ).
fof(c_0_7,plain,
! [X12,X13] :
( ( iext(uri_rdf_type,X12,X13)
| ~ icext(X13,X12) )
& ( icext(X13,X12)
| ~ iext(uri_rdf_type,X12,X13) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).
cnf(c_0_8,plain,
( ~ icext(uri_owl_FunctionalProperty,X1)
| ~ iext(X1,X2,X4)
| ~ iext(X1,X2,X3)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ iext(uri_rdf_type,X1,X2)
| icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
( iext(uri_rdf_rest,esk6_0,uri_rdf_nil)
& iext(uri_rdf_first,esk6_0,uri_ex_v)
& iext(uri_rdf_first,esk6_0,uri_ex_u)
& iext(uri_owl_oneOf,esk5_0,esk6_0)
& iext(uri_rdf_type,esk5_0,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,esk5_0)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_023_Unique_List_Components])]) ).
cnf(c_0_11,plain,
( ~ iext(X3,X4,X1)
| ~ iext(X3,X4,X2)
| ~ iext(uri_rdf_type,X3,uri_owl_FunctionalProperty)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X14,X15,X16,X17,X18] :
( ( ~ iext(uri_rdf_rest,X15,uri_rdf_nil)
| ~ iext(uri_rdf_first,X15,X16)
| iext(uri_owl_oneOf,X14,X15)
| ~ ic(X14)
| esk1_3(X14,X15,X16) = X16
| icext(X14,esk1_3(X14,X15,X16)) )
& ( ~ iext(uri_rdf_rest,X15,uri_rdf_nil)
| ~ iext(uri_rdf_first,X15,X16)
| iext(uri_owl_oneOf,X14,X15)
| ~ ic(X14)
| esk1_3(X14,X15,X16) != X16
| ~ icext(X14,esk1_3(X14,X15,X16)) )
& ( ~ iext(uri_rdf_rest,X15,uri_rdf_nil)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_owl_oneOf,X14,X15)
| icext(X14,X18)
| X18 != X16 )
& ( ~ iext(uri_rdf_rest,X15,uri_rdf_nil)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_owl_oneOf,X14,X15)
| X17 = X16
| ~ icext(X14,X17) )
& ( ~ iext(uri_rdf_rest,X15,uri_rdf_nil)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_owl_oneOf,X14,X15)
| ic(X14) ) ),
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_14,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_023_Unique_List_Components]) ).
cnf(c_0_15,plain,
( ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_first,X3,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
iext(uri_rdf_first,esk6_0,uri_ex_u),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,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_13]) ).
cnf(c_0_18,plain,
iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_19,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_20,plain,
( ~ iext(uri_rdf_first,esk6_0,X1)
| X1 = uri_ex_u ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
iext(uri_rdf_first,esk6_0,uri_ex_v),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( ~ iext(uri_owl_oneOf,X2,esk6_0)
| ~ icext(X2,X1)
| X1 = uri_ex_u ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_16]),c_0_18])]) ).
fof(c_0_23,plain,
! [X28,X29] :
( ( iext(uri_owl_sameAs,X28,X29)
| X28 != X29 )
& ( X28 = X29
| ~ iext(uri_owl_sameAs,X28,X29) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])]) ).
cnf(c_0_24,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
uri_ex_v = uri_ex_u,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( ~ iext(uri_rdf_type,X1,X2)
| ~ iext(uri_owl_oneOf,X2,esk6_0)
| X1 = uri_ex_u ),
inference(spm,[status(thm)],[c_0_22,c_0_9]) ).
cnf(c_0_27,plain,
iext(uri_rdf_type,uri_ex_w,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,plain,
iext(uri_owl_oneOf,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,plain,
( X1 != X2
| iext(uri_owl_sameAs,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_31,plain,
uri_ex_u = uri_ex_w,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_32,plain,
iext(uri_owl_sameAs,X1,X1),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.41 % Computer : n004.cluster.edu
% 0.14/10.41 % Model : x86_64 x86_64
% 0.14/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.41 % Memory : 8046.5625MB
% 0.14/10.41 % OS : Linux 6.8.0-71-generic
% 0.14/10.41 % CPULimit : 300
% 0.14/10.41 % WCLimit : 300
% 0.14/10.41 % DateTime : Mon Sep 21 07:41:03 UTC 2026
% 0.14/10.41 % CPUTime :
% 0.14/10.41 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.48 Running first-order theorem proving
% 0.14/10.48 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
% 0.18/10.55 % Version: 3.5.1
% 0.18/10.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/10.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.18/10.55 % Starting new_bool_1 with 300s (1) cores
% 0.18/10.55 % Starting sh5l with 300s (1) cores
% 0.18/10.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2623366 completed with status 0
% 0.18/10.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.18/10.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/10.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/10.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/10.55 % No SInE strategy applied
% 0.18/10.55 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.18/10.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/10.55 % Starting SubtermCWHack with 136s (1) cores
% 0.18/10.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.18/10.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.18/10.55 % Starting new_bool_3 with 136s (1) cores
% 0.18/10.55 % Starting new_bool_1 with 136s (1) cores
% 0.18/10.55 % SubtermCWHack with pid 2623372 completed with status 0
% 0.18/10.55 % Result found by SubtermCWHack
% 0.18/10.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/10.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/10.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/10.55 % No SInE strategy applied
% 0.18/10.55 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.18/10.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/10.55 % Starting SubtermCWHack with 136s (1) cores
% 0.18/10.55 % Preprocessing time : 0.002 s
% 0.18/10.55
% 0.18/10.55 % Proof found!
% 0.18/10.55 % SZS status Theorem
% 0.18/10.55 % SZS output start CNFRefutation
% See solution above
% 0.18/10.55 % Parsed axioms : 6
% 0.18/10.55 % Removed by relevancy pruning/SinE : 0
% 0.18/10.55 % Initial clauses : 22
% 0.18/10.55 % Removed in clause preprocessing : 0
% 0.18/10.55 % Initial clauses in saturation : 22
% 0.18/10.55 % Processed clauses : 45
% 0.18/10.55 % ...of these trivial : 0
% 0.18/10.55 % ...subsumed : 5
% 0.18/10.55 % ...remaining for further processing : 40
% 0.18/10.55 % Other redundant clauses eliminated : 2
% 0.18/10.55 % Clauses deleted for lack of memory : 0
% 0.18/10.55 % Backward-subsumed : 3
% 0.18/10.55 % Backward-rewritten : 11
% 0.18/10.55 % Generated clauses : 42
% 0.18/10.55 % ...of the previous two non-redundant : 41
% 0.18/10.55 % ...aggressively subsumed : 0
% 0.18/10.55 % Contextual simplify-reflections : 2
% 0.18/10.55 % Paramodulations : 40
% 0.18/10.55 % Factorizations : 0
% 0.18/10.55 % NegExts : 0
% 0.18/10.55 % Equation resolutions : 2
% 0.18/10.55 % Disequality decompositions : 0
% 0.18/10.55 % Total rewrite steps : 16
% 0.18/10.55 % ...of those cached : 9
% 0.18/10.55 % Propositional unsat checks : 0
% 0.18/10.55 % Propositional check models : 0
% 0.18/10.55 % Propositional check unsatisfiable : 0
% 0.18/10.55 % Propositional clauses : 0
% 0.18/10.55 % Propositional clauses after purity: 0
% 0.18/10.55 % Propositional unsat core size : 0
% 0.18/10.55 % Propositional preprocessing time : 0.000
% 0.18/10.55 % Propositional encoding time : 0.000
% 0.18/10.55 % Propositional solver time : 0.000
% 0.18/10.55 % Success case prop preproc time : 0.000
% 0.18/10.55 % Success case prop encoding time : 0.000
% 0.18/10.55 % Success case prop solver time : 0.000
% 0.18/10.55 % Current number of processed clauses : 24
% 0.18/10.55 % Positive orientable unit clauses : 7
% 0.18/10.55 % Positive unorientable unit clauses: 0
% 0.18/10.55 % Negative unit clauses : 0
% 0.18/10.55 % Non-unit-clauses : 17
% 0.18/10.55 % Current number of unprocessed clauses: 14
% 0.18/10.55 % ...number of literals in the above : 71
% 0.18/10.55 % Current number of archived formulas : 0
% 0.18/10.55 % Current number of archived clauses : 14
% 0.18/10.55 % Clause-clause subsumption calls (NU) : 158
% 0.18/10.55 % Rec. Clause-clause subsumption calls : 62
% 0.18/10.55 % Non-unit clause-clause subsumptions : 10
% 0.18/10.55 % Unit Clause-clause subsumption calls : 22
% 0.18/10.55 % Rewrite failures with RHS unbound : 0
% 0.18/10.55 % BW rewrite match attempts : 3
% 0.18/10.55 % BW rewrite match successes : 2
% 0.18/10.55 % Condensation attempts : 0
% 0.18/10.55 % Condensation successes : 0
% 0.18/10.55 % Termbank termtop insertions : 2081
% 0.18/10.55 % Search garbage collected termcells : 333
% 0.18/10.55
% 0.18/10.55 % -------------------------------------------------
% 0.18/10.55 % User time : 0.008 s
% 0.18/10.55 % System time : 0.005 s
% 0.18/10.55 % Total time : 0.013 s
% 0.18/10.55 % Maximum resident set size: 3640 pages
% 0.18/10.55
% 0.18/10.55 % -------------------------------------------------
% 0.18/10.55 % User time : 0.027 s
% 0.18/10.55 % System time : 0.016 s
% 0.18/10.55 % Total time : 0.043 s
% 0.18/10.55 % Maximum resident set size: 4608 pages
% 0.18/10.55 % E exiting
%------------------------------------------------------------------------------