%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP140^1 : 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 08:04:29 AM UTC 2026
% Result : Theorem 0.22s 0.35s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 58 equ; 0 cnn)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 316 ( 25 ~; 22 |; 11 &; 246 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
paraco1605129243lle_tv: $tType ).
thf(decl_sort2,type,
list_char: $tType ).
thf(decl_sort3,type,
paraco1604210848lle_fm: $tType ).
thf(decl_58,type,
paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
thf(decl_59,type,
paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(decl_65,type,
paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
thf(decl_184,type,
i: list_char > paraco1605129243lle_tv ).
thf(decl_185,type,
p1: paraco1604210848lle_fm ).
thf(decl_186,type,
p2: paraco1604210848lle_fm ).
thf(conj_0,conjecture,
( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.m3NVojpECk/E---3.1_1745658.p',conj_0) ).
thf(fact_5_eval_Osimps_I4_J,axiom,
! [X5: list_char > paraco1605129243lle_tv,X6: paraco1604210848lle_fm,X7: paraco1604210848lle_fm] :
( ( ( ( paraco1325918602e_eval @ X5 @ X6 )
= ( paraco1325918602e_eval @ X5 @ X7 ) )
=> ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1325918602e_eval @ X5 @ X6 ) ) )
& ( ( ( paraco1325918602e_eval @ X5 @ X6 )
!= ( paraco1325918602e_eval @ X5 @ X7 ) )
=> ( ( ( ( paraco1325918602e_eval @ X5 @ X6 )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1325918602e_eval @ X5 @ X7 ) ) )
& ( ( ( paraco1325918602e_eval @ X5 @ X6 )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( ( ( paraco1325918602e_eval @ X5 @ X7 )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1325918602e_eval @ X5 @ X6 ) ) )
& ( ( ( paraco1325918602e_eval @ X5 @ X7 )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1344940915le_Det @ ~ $true ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.m3NVojpECk/E---3.1_1745658.p',fact_5_eval_Osimps_I4_J) ).
thf(fact_0_a_H_H,axiom,
( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox2/tmp/tmp.m3NVojpECk/E---3.1_1745658.p',fact_0_a_H_H) ).
thf(fact_1_a,axiom,
( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox2/tmp/tmp.m3NVojpECk/E---3.1_1745658.p',fact_1_a) ).
thf(c_0_4,negated_conjecture,
( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
!= ( paraco1325918602e_eval @ i @ p1 ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,plain,
! [X5: list_char > paraco1605129243lle_tv,X6: paraco1604210848lle_fm,X7: paraco1604210848lle_fm] :
( ( ( ( paraco1325918602e_eval @ X5 @ X6 )
= ( paraco1325918602e_eval @ X5 @ X7 ) )
=> ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1325918602e_eval @ X5 @ X6 ) ) )
& ( ( ( paraco1325918602e_eval @ X5 @ X6 )
!= ( paraco1325918602e_eval @ X5 @ X7 ) )
=> ( ( ( ( paraco1325918602e_eval @ X5 @ X6 )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1325918602e_eval @ X5 @ X7 ) ) )
& ( ( ( paraco1325918602e_eval @ X5 @ X6 )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( ( ( paraco1325918602e_eval @ X5 @ X7 )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1325918602e_eval @ X5 @ X6 ) ) )
& ( ( ( paraco1325918602e_eval @ X5 @ X7 )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( ~ ~ $true
| ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1344940915le_Det @ $true ) ) )
& ( ~ $true
| ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X6 @ X7 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[fact_5_eval_Osimps_I4_J])]) ).
thf(c_0_6,negated_conjecture,
( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
!= ( paraco1325918602e_eval @ i @ p1 ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1057: list_char > paraco1605129243lle_tv,X1058: paraco1604210848lle_fm,X1059: paraco1604210848lle_fm] :
( ( ( ( paraco1325918602e_eval @ X1057 @ X1058 )
!= ( paraco1325918602e_eval @ X1057 @ X1059 ) )
| ( ( paraco1325918602e_eval @ X1057 @ ( paraco69239110le_Con @ X1058 @ X1059 ) )
= ( paraco1325918602e_eval @ X1057 @ X1058 ) ) )
& ( ( ( paraco1325918602e_eval @ X1057 @ X1058 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1057 @ ( paraco69239110le_Con @ X1058 @ X1059 ) )
= ( paraco1325918602e_eval @ X1057 @ X1059 ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1058 )
= ( paraco1325918602e_eval @ X1057 @ X1059 ) ) )
& ( ( ( paraco1325918602e_eval @ X1057 @ X1059 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1057 @ ( paraco69239110le_Con @ X1058 @ X1059 ) )
= ( paraco1325918602e_eval @ X1057 @ X1058 ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1058 )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1058 )
= ( paraco1325918602e_eval @ X1057 @ X1059 ) ) )
& ( $true
| ( ( paraco1325918602e_eval @ X1057 @ ( paraco69239110le_Con @ X1058 @ X1059 ) )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1059 )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1058 )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1058 )
= ( paraco1325918602e_eval @ X1057 @ X1059 ) ) )
& ( ~ $true
| ( ( paraco1325918602e_eval @ X1057 @ ( paraco69239110le_Con @ X1058 @ X1059 ) )
= ( paraco1344940915le_Det @ $false ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1059 )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1058 )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1057 @ X1058 )
= ( paraco1325918602e_eval @ X1057 @ X1059 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
thf(c_0_8,plain,
( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(fof_simplification,[status(thm)],[fact_0_a_H_H]) ).
thf(c_0_9,negated_conjecture,
( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
!= ( paraco1325918602e_eval @ i @ p1 ) ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X5: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] :
( ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X2 @ X1 ) )
= ( paraco1325918602e_eval @ X5 @ X2 ) )
| ( ( paraco1325918602e_eval @ X5 @ X2 )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X5 @ X2 )
= ( paraco1325918602e_eval @ X5 @ X1 ) )
| ( ( paraco1325918602e_eval @ X5 @ X1 )
!= ( paraco1344940915le_Det @ $true ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1: paraco1604210848lle_fm,X5: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
( ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X1 @ X2 ) )
= ( paraco1325918602e_eval @ X5 @ X1 ) )
| ( ( paraco1325918602e_eval @ X5 @ X1 )
!= ( paraco1325918602e_eval @ X5 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
thf(c_0_13,negated_conjecture,
( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
!= ( paraco1325918602e_eval @ i @ p1 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X1: paraco1604210848lle_fm,X5: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
( ( ( paraco1325918602e_eval @ X5 @ ( paraco69239110le_Con @ X1 @ X2 ) )
= ( paraco1325918602e_eval @ X5 @ X1 ) )
| ( ( paraco1325918602e_eval @ X5 @ X1 )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X5 @ X2 )
!= ( paraco1344940915le_Det @ $true ) ) ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_15,plain,
( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
inference(split_conjunct,[status(thm)],[fact_1_a]) ).
thf(c_0_16,plain,
( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP140^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:05:21 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
% 0.22/0.28 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.m3NVojpECk/E---3.1_1745658.p
% 0.22/0.35 % Version: 3.5.1-ho
% 0.22/0.35 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.22/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.35 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.35 % Starting full_lambda_7 with 300s (1) cores
% 0.22/0.35 % Starting new_ho_4 with 300s (1) cores
% 0.22/0.35 % Starting lpo5_fix with 300s (1) cores
% 0.22/0.35 % new_ho_4 with pid 1745673 completed with status 0
% 0.22/0.35 % Result found by new_ho_4
% 0.22/0.35 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.22/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.35 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.35 % Starting full_lambda_7 with 300s (1) cores
% 0.22/0.35 % Starting new_ho_4 with 300s (1) cores
% 0.22/0.35 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5.5,,2,20000,1.0,true))
% 0.22/0.35 % SinE strategy is GSinE(CountFormulas,hypos,5.5,,2,20000,1.0,true)
% 0.22/0.35 % Search class: HGUSM-FSLS31-MHSFFMBN
% 0.22/0.35 % partial match(2): HGUSM-FSLM31-MHSFFSBN
% 0.22/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.35 % SubtermCWHack with pid 1745675 completed with status 0
% 0.22/0.35 % Result found by SubtermCWHack
% 0.22/0.35 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.22/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.35 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.35 % Starting full_lambda_7 with 300s (1) cores
% 0.22/0.35 % Starting new_ho_4 with 300s (1) cores
% 0.22/0.35 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5.5,,2,20000,1.0,true))
% 0.22/0.35 % SinE strategy is GSinE(CountFormulas,hypos,5.5,,2,20000,1.0,true)
% 0.22/0.35 % Search class: HGUSM-FSLS31-MHSFFMBN
% 0.22/0.35 % partial match(2): HGUSM-FSLM31-MHSFFSBN
% 0.22/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.35 % Preprocessing time : 0.003 s
% 0.22/0.35
% 0.22/0.35 % Proof found!
% 0.22/0.35 % SZS status Theorem
% 0.22/0.35 % SZS output start CNFRefutation
% See solution above
% 0.22/0.35 % Parsed axioms : 558
% 0.22/0.35 % Removed by relevancy pruning/SinE : 475
% 0.22/0.35 % Initial clauses : 262
% 0.22/0.35 % Removed in clause preprocessing : 37
% 0.22/0.35 % Initial clauses in saturation : 225
% 0.22/0.35 % Processed clauses : 308
% 0.22/0.35 % ...of these trivial : 17
% 0.22/0.35 % ...subsumed : 93
% 0.22/0.35 % ...remaining for further processing : 198
% 0.22/0.35 % Other redundant clauses eliminated : 40
% 0.22/0.35 % Clauses deleted for lack of memory : 0
% 0.22/0.35 % Backward-subsumed : 1
% 0.22/0.35 % Backward-rewritten : 7
% 0.22/0.35 % Generated clauses : 626
% 0.22/0.35 % ...of the previous two non-redundant : 394
% 0.22/0.35 % ...aggressively subsumed : 0
% 0.22/0.35 % Contextual simplify-reflections : 1
% 0.22/0.35 % Paramodulations : 567
% 0.22/0.35 % Factorizations : 2
% 0.22/0.35 % NegExts : 0
% 0.22/0.35 % Equation resolutions : 51
% 0.22/0.35 % Disequality decompositions : 0
% 0.22/0.35 % Total rewrite steps : 292
% 0.22/0.35 % ...of those cached : 213
% 0.22/0.35 % Propositional unsat checks : 0
% 0.22/0.35 % Propositional check models : 0
% 0.22/0.35 % Propositional check unsatisfiable : 0
% 0.22/0.35 % Propositional clauses : 0
% 0.22/0.35 % Propositional clauses after purity: 0
% 0.22/0.35 % Propositional unsat core size : 0
% 0.22/0.35 % Propositional preprocessing time : 0.000
% 0.22/0.35 % Propositional encoding time : 0.000
% 0.22/0.35 % Propositional solver time : 0.000
% 0.22/0.35 % Success case prop preproc time : 0.000
% 0.22/0.35 % Success case prop encoding time : 0.000
% 0.22/0.35 % Success case prop solver time : 0.000
% 0.22/0.35 % Current number of processed clauses : 183
% 0.22/0.35 % Positive orientable unit clauses : 75
% 0.22/0.35 % Positive unorientable unit clauses: 2
% 0.22/0.35 % Negative unit clauses : 20
% 0.22/0.35 % Non-unit-clauses : 86
% 0.22/0.35 % Current number of unprocessed clauses: 294
% 0.22/0.35 % ...number of literals in the above : 1275
% 0.22/0.35 % Current number of archived formulas : 0
% 0.22/0.35 % Current number of archived clauses : 8
% 0.22/0.35 % Clause-clause subsumption calls (NU) : 1715
% 0.22/0.35 % Rec. Clause-clause subsumption calls : 1014
% 0.22/0.35 % Non-unit clause-clause subsumptions : 39
% 0.22/0.35 % Unit Clause-clause subsumption calls : 1629
% 0.22/0.35 % Rewrite failures with RHS unbound : 17
% 0.22/0.35 % BW rewrite match attempts : 411
% 0.22/0.35 % BW rewrite match successes : 11
% 0.22/0.35 % Condensation attempts : 0
% 0.22/0.35 % Condensation successes : 0
% 0.22/0.35 % Termbank termtop insertions : 31610
% 0.22/0.35 % Search garbage collected termcells : 7674
% 0.22/0.35
% 0.22/0.35 % -------------------------------------------------
% 0.22/0.35 % User time : 0.029 s
% 0.22/0.35 % System time : 0.004 s
% 0.22/0.35 % Total time : 0.033 s
% 0.22/0.35 % Maximum resident set size: 5592 pages
% 0.22/0.35
% 0.22/0.35 % -------------------------------------------------
% 0.22/0.35 % User time : 0.051 s
% 0.22/0.35 % System time : 0.009 s
% 0.22/0.35 % Total time : 0.059 s
% 0.22/0.35 % Maximum resident set size: 6144 pages
% 0.22/0.35 % E exiting
%------------------------------------------------------------------------------