%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP120^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Wed Sep 30 08:04:25 AM UTC 2026
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 374 ( 8 ~; 3 |; 0 &; 362 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-5 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_34,type,
modula17988509_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(decl_35,type,
modula1373251614_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(decl_36,type,
modula581031071_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(decl_37,type,
modula1936294176_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(decl_38,type,
modula1144073633_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(decl_49,type,
a2: a ).
thf(decl_50,type,
b: a ).
thf(decl_51,type,
c: a ).
thf(decl_52,type,
inf: a > a > a ).
thf(decl_53,type,
less_eq: a > a > $o ).
thf(decl_54,type,
sup: a > a > a ).
thf(conj_1,conjecture,
( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) )
= ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ),
file('/export/starexec/sandbox2/tmp/tmp.kJw05P2Sgj/E---3.1_3132579.p',conj_1) ).
thf(fact_112_local_Oc__a,axiom,
! [X4: a,X3: a,X9: a] :
( ( modula581031071_aux_a @ inf @ sup @ X4 @ X3 @ X9 )
= ( modula17988509_aux_a @ inf @ sup @ X9 @ X4 @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.kJw05P2Sgj/E---3.1_3132579.p',fact_112_local_Oc__a) ).
thf(fact_131_a__meet__b__eq__d,axiom,
! [X4: a,X3: a,X9: a] :
( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X4 @ X3 @ X9 ) @ ( modula1144073633_aux_a @ inf @ sup @ X4 @ X3 @ X9 ) )
=> ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ X4 @ X3 @ X9 ) @ ( modula1373251614_aux_a @ inf @ sup @ X4 @ X3 @ X9 ) )
= ( modula1936294176_aux_a @ inf @ sup @ X4 @ X3 @ X9 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kJw05P2Sgj/E---3.1_3132579.p',fact_131_a__meet__b__eq__d) ).
thf(fact_125_local_Ob__a,axiom,
! [X4: a,X3: a,X9: a] :
( ( modula1373251614_aux_a @ inf @ sup @ X4 @ X3 @ X9 )
= ( modula17988509_aux_a @ inf @ sup @ X3 @ X9 @ X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.kJw05P2Sgj/E---3.1_3132579.p',fact_125_local_Ob__a) ).
thf(fact_87_local_Od__b__c__a,axiom,
! [X3: a,X9: a,X4: a] :
( ( modula1936294176_aux_a @ inf @ sup @ X3 @ X9 @ X4 )
= ( modula1936294176_aux_a @ inf @ sup @ X4 @ X3 @ X9 ) ),
file('/export/starexec/sandbox2/tmp/tmp.kJw05P2Sgj/E---3.1_3132579.p',fact_87_local_Od__b__c__a) ).
thf(fact_93_local_Oe__b__c__a,axiom,
! [X3: a,X9: a,X4: a] :
( ( modula1144073633_aux_a @ inf @ sup @ X3 @ X9 @ X4 )
= ( modula1144073633_aux_a @ inf @ sup @ X4 @ X3 @ X9 ) ),
file('/export/starexec/sandbox2/tmp/tmp.kJw05P2Sgj/E---3.1_3132579.p',fact_93_local_Oe__b__c__a) ).
thf(conj_0,hypothesis,
less_eq @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ),
file('/export/starexec/sandbox2/tmp/tmp.kJw05P2Sgj/E---3.1_3132579.p',conj_0) ).
thf(c_0_7,negated_conjecture,
( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) )
!= ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_8,negated_conjecture,
( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) )
!= ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
thf(c_0_9,negated_conjecture,
( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) )
!= ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
thf(c_0_10,plain,
! [X780: a,X781: a,X782: a] :
( ( modula581031071_aux_a @ inf @ sup @ X780 @ X781 @ X782 )
= ( modula17988509_aux_a @ inf @ sup @ X782 @ X780 @ X781 ) ),
inference(variable_rename,[status(thm)],[fact_112_local_Oc__a]) ).
thf(c_0_11,plain,
! [X687: a,X688: a,X689: a] :
( ~ ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X687 @ X688 @ X689 ) @ ( modula1144073633_aux_a @ inf @ sup @ X687 @ X688 @ X689 ) )
| ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ X687 @ X688 @ X689 ) @ ( modula1373251614_aux_a @ inf @ sup @ X687 @ X688 @ X689 ) )
= ( modula1936294176_aux_a @ inf @ sup @ X687 @ X688 @ X689 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_131_a__meet__b__eq__d])])]) ).
thf(c_0_12,plain,
! [X783: a,X784: a,X785: a] :
( ( modula1373251614_aux_a @ inf @ sup @ X783 @ X784 @ X785 )
= ( modula17988509_aux_a @ inf @ sup @ X784 @ X785 @ X783 ) ),
inference(variable_rename,[status(thm)],[fact_125_local_Ob__a]) ).
thf(c_0_13,negated_conjecture,
( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) )
!= ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X1: a,X3: a,X2: a] :
( ( modula581031071_aux_a @ inf @ sup @ X1 @ X2 @ X3 )
= ( modula17988509_aux_a @ inf @ sup @ X3 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
! [X1: a,X2: a,X3: a] :
( ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) @ ( modula1373251614_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) )
= ( modula1936294176_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) )
| ~ ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) @ ( modula1144073633_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
! [X3: a,X2: a,X1: a] :
( ( modula1373251614_aux_a @ inf @ sup @ X1 @ X2 @ X3 )
= ( modula17988509_aux_a @ inf @ sup @ X2 @ X3 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
! [X774: a,X775: a,X776: a] :
( ( modula1936294176_aux_a @ inf @ sup @ X774 @ X775 @ X776 )
= ( modula1936294176_aux_a @ inf @ sup @ X776 @ X774 @ X775 ) ),
inference(variable_rename,[status(thm)],[fact_87_local_Od__b__c__a]) ).
thf(c_0_18,plain,
! [X672: a,X673: a,X674: a] :
( ( modula1144073633_aux_a @ inf @ sup @ X672 @ X673 @ X674 )
= ( modula1144073633_aux_a @ inf @ sup @ X674 @ X672 @ X673 ) ),
inference(variable_rename,[status(thm)],[fact_93_local_Oe__b__c__a]) ).
thf(c_0_19,negated_conjecture,
( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula17988509_aux_a @ inf @ sup @ c @ a2 @ b ) )
!= ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_20,plain,
! [X1: a,X2: a,X3: a] :
( ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) @ ( modula17988509_aux_a @ inf @ sup @ X2 @ X3 @ X1 ) )
= ( modula1936294176_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) )
| ~ ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) @ ( modula1144073633_aux_a @ inf @ sup @ X1 @ X2 @ X3 ) ) ),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_21,plain,
! [X1: a,X3: a,X2: a] :
( ( modula1936294176_aux_a @ inf @ sup @ X1 @ X2 @ X3 )
= ( modula1936294176_aux_a @ inf @ sup @ X3 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_22,plain,
! [X1: a,X3: a,X2: a] :
( ( modula1144073633_aux_a @ inf @ sup @ X1 @ X2 @ X3 )
= ( modula1144073633_aux_a @ inf @ sup @ X3 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_23,hypothesis,
less_eq @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ),
inference(split_conjunct,[status(thm)],[conj_0]) ).
thf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_21]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP120^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n014.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 19:56:30 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.20/0.27 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.kJw05P2Sgj/E---3.1_3132579.p
% 0.20/0.37 % Version: 3.5.1-ho
% 0.20/0.37 % Preprocessing class: HSLSSMSSSSSNHSA.
% 0.20/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.37 % Starting full_lambda_9 with 1500s (5) cores
% 0.20/0.37 % Starting new_ho_11 with 300s (1) cores
% 0.20/0.37 % Starting sh2l with 300s (1) cores
% 0.20/0.37 % Starting new_bool_6 with 300s (1) cores
% 0.20/0.37 % full_lambda_9 with pid 3132592 completed with status 0
% 0.20/0.37 % Result found by full_lambda_9
% 0.20/0.37 % Preprocessing class: HSLSSMSSSSSNHSA.
% 0.20/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.37 % Starting full_lambda_9 with 1500s (5) cores
% 0.20/0.37 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.20/0.37 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.20/0.37 % Search class: HGUSM-FFLS32-MHSFFFNN
% 0.20/0.37 % partial match(2): HGUSM-FSLM32-MHSFFFNN
% 0.20/0.37 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.37 % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.37 % Starting full_lambda_9 with 151s (1) cores
% 0.20/0.37 % Starting sh5l with 136s (1) cores
% 0.20/0.37 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.20/0.37 % Starting lpo1_def_fix with 136s (1) cores
% 0.20/0.37 % sh5l with pid 3132599 completed with status 0
% 0.20/0.37 % Result found by sh5l
% 0.20/0.37 % Preprocessing class: HSLSSMSSSSSNHSA.
% 0.20/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.37 % Starting full_lambda_9 with 1500s (5) cores
% 0.20/0.37 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.20/0.37 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.20/0.37 % Search class: HGUSM-FFLS32-MHSFFFNN
% 0.20/0.37 % partial match(2): HGUSM-FSLM32-MHSFFFNN
% 0.20/0.37 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.37 % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.37 % Starting full_lambda_9 with 151s (1) cores
% 0.20/0.37 % Starting sh5l with 136s (1) cores
% 0.20/0.37 % Preprocessing time : 0.004 s
% 0.20/0.37 % Presaturation interreduction done
% 0.20/0.37
% 0.20/0.37 % Proof found!
% 0.20/0.37 % SZS status Theorem
% 0.20/0.37 % SZS output start CNFRefutation
% See solution above
% 0.20/0.37 % Parsed axioms : 284
% 0.20/0.37 % Removed by relevancy pruning/SinE : 157
% 0.20/0.37 % Initial clauses : 152
% 0.20/0.37 % Removed in clause preprocessing : 8
% 0.20/0.37 % Initial clauses in saturation : 144
% 0.20/0.37 % Processed clauses : 303
% 0.20/0.37 % ...of these trivial : 34
% 0.20/0.37 % ...subsumed : 99
% 0.20/0.37 % ...remaining for further processing : 170
% 0.20/0.37 % Other redundant clauses eliminated : 5
% 0.20/0.37 % Clauses deleted for lack of memory : 0
% 0.20/0.37 % Backward-subsumed : 0
% 0.20/0.37 % Backward-rewritten : 3
% 0.20/0.37 % Generated clauses : 1609
% 0.20/0.37 % ...of the previous two non-redundant : 1257
% 0.20/0.37 % ...aggressively subsumed : 0
% 0.20/0.37 % Contextual simplify-reflections : 0
% 0.20/0.37 % Paramodulations : 1588
% 0.20/0.37 % Factorizations : 0
% 0.20/0.37 % NegExts : 0
% 0.20/0.37 % Equation resolutions : 5
% 0.20/0.37 % Disequality decompositions : 0
% 0.20/0.37 % Total rewrite steps : 999
% 0.20/0.37 % ...of those cached : 616
% 0.20/0.37 % Propositional unsat checks : 0
% 0.20/0.37 % Propositional check models : 0
% 0.20/0.37 % Propositional check unsatisfiable : 0
% 0.20/0.37 % Propositional clauses : 0
% 0.20/0.37 % Propositional clauses after purity: 0
% 0.20/0.37 % Propositional unsat core size : 0
% 0.20/0.37 % Propositional preprocessing time : 0.000
% 0.20/0.37 % Propositional encoding time : 0.000
% 0.20/0.37 % Propositional solver time : 0.000
% 0.20/0.37 % Success case prop preproc time : 0.000
% 0.20/0.37 % Success case prop encoding time : 0.000
% 0.20/0.37 % Success case prop solver time : 0.000
% 0.20/0.37 % Current number of processed clauses : 92
% 0.20/0.37 % Positive orientable unit clauses : 49
% 0.20/0.37 % Positive unorientable unit clauses: 6
% 0.20/0.37 % Negative unit clauses : 1
% 0.20/0.37 % Non-unit-clauses : 36
% 0.20/0.37 % Current number of unprocessed clauses: 1142
% 0.20/0.37 % ...number of literals in the above : 2005
% 0.20/0.37 % Current number of archived formulas : 0
% 0.20/0.37 % Current number of archived clauses : 77
% 0.20/0.37 % Clause-clause subsumption calls (NU) : 1356
% 0.20/0.37 % Rec. Clause-clause subsumption calls : 1128
% 0.20/0.37 % Non-unit clause-clause subsumptions : 92
% 0.20/0.37 % Unit Clause-clause subsumption calls : 50
% 0.20/0.37 % Rewrite failures with RHS unbound : 0
% 0.20/0.37 % BW rewrite match attempts : 202
% 0.20/0.37 % BW rewrite match successes : 93
% 0.20/0.37 % Condensation attempts : 303
% 0.20/0.37 % Condensation successes : 0
% 0.20/0.37 % Termbank termtop insertions : 82613
% 0.20/0.37 % Search garbage collected termcells : 3265
% 0.20/0.37
% 0.20/0.37 % -------------------------------------------------
% 0.20/0.37 % User time : 0.064 s
% 0.20/0.37 % System time : 0.009 s
% 0.20/0.37 % Total time : 0.073 s
% 0.20/0.37 % Maximum resident set size: 4532 pages
% 0.20/0.37
% 0.20/0.37 % -------------------------------------------------
% 0.20/0.37 % User time : 0.240 s
% 0.20/0.37 % System time : 0.035 s
% 0.20/0.37 % Total time : 0.274 s
% 0.20/0.37 % Maximum resident set size: 5120 pages
% 0.20/0.37 % E exiting
%------------------------------------------------------------------------------