%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP135^1 : 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 : 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 : Wed Sep 30 08:04:28 AM UTC 2026
% Result : Theorem 0.21s 0.34s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 63 ( 4 ~; 0 |; 0 &; 59 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
paraco1605129243lle_tv: $tType ).
thf(decl_sort3,type,
list_char: $tType ).
thf(decl_sort4,type,
paraco1604210848lle_fm: $tType ).
thf(decl_54,type,
paraco761681009ge_int: ( nat > nat ) > ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).
thf(decl_55,type,
paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(decl_57,type,
paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
thf(decl_64,type,
paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
thf(decl_156,type,
f: nat > nat ).
thf(decl_157,type,
i: list_char > paraco1605129243lle_tv ).
thf(decl_159,type,
p2: paraco1604210848lle_fm ).
thf(conj_0,conjecture,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox2/tmp/tmp.MnXUmyZ1I0/E---3.1_1744733.p',conj_0) ).
thf(fact_8_change__tv_Osimps_I1_J,axiom,
! [X6: nat > nat,X7: $o] :
( ( paraco1147068288nge_tv @ X6 @ ( paraco1344940915le_Det @ X7 ) )
= ( paraco1344940915le_Det @ X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.MnXUmyZ1I0/E---3.1_1744733.p',fact_8_change__tv_Osimps_I1_J) ).
thf(fact_2_ih2,axiom,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MnXUmyZ1I0/E---3.1_1744733.p',fact_2_ih2) ).
thf(fact_0_a,axiom,
( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox2/tmp/tmp.MnXUmyZ1I0/E---3.1_1744733.p',fact_0_a) ).
thf(c_0_4,negated_conjecture,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X1160: nat > nat,X1161: $o] :
( ( paraco1147068288nge_tv @ X1160 @ ( paraco1344940915le_Det @ X1161 ) )
= ( paraco1344940915le_Det @ X1161 ) ),
inference(variable_rename,[status(thm)],[fact_8_change__tv_Osimps_I1_J]) ).
thf(c_0_7,negated_conjecture,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) ),
inference(split_conjunct,[status(thm)],[fact_2_ih2]) ).
thf(c_0_9,plain,
( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
inference(split_conjunct,[status(thm)],[fact_0_a]) ).
thf(c_0_10,plain,
! [X3: nat > nat,X1: $o] :
( ( paraco1147068288nge_tv @ X3 @ ( paraco1344940915le_Det @ X1 ) )
= ( paraco1344940915le_Det @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,negated_conjecture,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP135^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n001.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 20:04:51 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.28 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.MnXUmyZ1I0/E---3.1_1744733.p
% 0.21/0.34 % Version: 3.5.1-ho
% 0.21/0.34 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.21/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.34 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.34 % Starting full_lambda_7 with 300s (1) cores
% 0.21/0.34 % Starting new_ho_4 with 300s (1) cores
% 0.21/0.34 % Starting lpo5_fix with 300s (1) cores
% 0.21/0.34 % full_lambda_7 with pid 1744747 completed with status 0
% 0.21/0.34 % Result found by full_lambda_7
% 0.21/0.34 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.21/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.34 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.34 % Starting full_lambda_7 with 300s (1) cores
% 0.21/0.34 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.21/0.34 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.21/0.34 % Search class: HGUSM-FSLM31-DHSFFMBN
% 0.21/0.34 % partial match(1): HGUSM-FSLM31-DHSFFFBN
% 0.21/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.34 % SubtermCWHack with pid 1744750 completed with status 0
% 0.21/0.34 % Result found by SubtermCWHack
% 0.21/0.34 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.21/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.34 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.34 % Starting full_lambda_7 with 300s (1) cores
% 0.21/0.34 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.21/0.34 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.21/0.34 % Search class: HGUSM-FSLM31-DHSFFMBN
% 0.21/0.34 % partial match(1): HGUSM-FSLM31-DHSFFFBN
% 0.21/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.34 % Preprocessing time : 0.006 s
% 0.21/0.34
% 0.21/0.34 % Proof found!
% 0.21/0.34 % SZS status Theorem
% 0.21/0.34 % SZS output start CNFRefutation
% See solution above
% 0.21/0.34 % Parsed axioms : 518
% 0.21/0.34 % Removed by relevancy pruning/SinE : 409
% 0.21/0.34 % Initial clauses : 335
% 0.21/0.34 % Removed in clause preprocessing : 43
% 0.21/0.34 % Initial clauses in saturation : 292
% 0.21/0.34 % Processed clauses : 139
% 0.21/0.34 % ...of these trivial : 15
% 0.21/0.34 % ...subsumed : 21
% 0.21/0.34 % ...remaining for further processing : 102
% 0.21/0.34 % Other redundant clauses eliminated : 19
% 0.21/0.34 % Clauses deleted for lack of memory : 0
% 0.21/0.34 % Backward-subsumed : 1
% 0.21/0.34 % Backward-rewritten : 7
% 0.21/0.34 % Generated clauses : 133
% 0.21/0.34 % ...of the previous two non-redundant : 88
% 0.21/0.34 % ...aggressively subsumed : 0
% 0.21/0.34 % Contextual simplify-reflections : 1
% 0.21/0.34 % Paramodulations : 88
% 0.21/0.34 % Factorizations : 2
% 0.21/0.34 % NegExts : 0
% 0.21/0.34 % Equation resolutions : 30
% 0.21/0.34 % Disequality decompositions : 0
% 0.21/0.34 % Total rewrite steps : 41
% 0.21/0.34 % ...of those cached : 13
% 0.21/0.34 % Propositional unsat checks : 0
% 0.21/0.34 % Propositional check models : 0
% 0.21/0.34 % Propositional check unsatisfiable : 0
% 0.21/0.34 % Propositional clauses : 0
% 0.21/0.34 % Propositional clauses after purity: 0
% 0.21/0.34 % Propositional unsat core size : 0
% 0.21/0.34 % Propositional preprocessing time : 0.000
% 0.21/0.34 % Propositional encoding time : 0.000
% 0.21/0.34 % Propositional solver time : 0.000
% 0.21/0.34 % Success case prop preproc time : 0.000
% 0.21/0.34 % Success case prop encoding time : 0.000
% 0.21/0.34 % Success case prop solver time : 0.000
% 0.21/0.34 % Current number of processed clauses : 94
% 0.21/0.34 % Positive orientable unit clauses : 28
% 0.21/0.34 % Positive unorientable unit clauses: 2
% 0.21/0.34 % Negative unit clauses : 19
% 0.21/0.34 % Non-unit-clauses : 45
% 0.21/0.34 % Current number of unprocessed clauses: 235
% 0.21/0.34 % ...number of literals in the above : 1196
% 0.21/0.34 % Current number of archived formulas : 0
% 0.21/0.34 % Current number of archived clauses : 8
% 0.21/0.34 % Clause-clause subsumption calls (NU) : 241
% 0.21/0.34 % Rec. Clause-clause subsumption calls : 227
% 0.21/0.34 % Non-unit clause-clause subsumptions : 11
% 0.21/0.34 % Unit Clause-clause subsumption calls : 198
% 0.21/0.34 % Rewrite failures with RHS unbound : 17
% 0.21/0.34 % BW rewrite match attempts : 22
% 0.21/0.34 % BW rewrite match successes : 11
% 0.21/0.34 % Condensation attempts : 0
% 0.21/0.34 % Condensation successes : 0
% 0.21/0.34 % Termbank termtop insertions : 30638
% 0.21/0.34 % Search garbage collected termcells : 9347
% 0.21/0.34
% 0.21/0.34 % -------------------------------------------------
% 0.21/0.34 % User time : 0.021 s
% 0.21/0.34 % System time : 0.010 s
% 0.21/0.34 % Total time : 0.031 s
% 0.21/0.34 % Maximum resident set size: 6036 pages
% 0.21/0.34
% 0.21/0.34 % -------------------------------------------------
% 0.21/0.34 % User time : 0.035 s
% 0.21/0.34 % System time : 0.018 s
% 0.21/0.34 % Total time : 0.054 s
% 0.21/0.34 % Maximum resident set size: 5888 pages
% 0.21/0.34 % E exiting
%------------------------------------------------------------------------------