%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV002^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:34:32 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 40 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 296 ( 4 ~; 0 |; 28 &; 262 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
esk1_0: a > a > a ).
thf(decl_24,type,
esk2_0: a > a > a ).
thf(decl_25,type,
esk3_0: a ).
thf(decl_26,type,
esk4_0: a ).
thf(decl_27,type,
esk5_0: a ).
thf(cMODULAR_THM_DEF2_pme,conjecture,
! [X1: a > a > a,X2: a > a > a] :
( ( ! [X3: a] :
( ( X1 @ X3 @ X3 )
= X3 )
& ! [X3: a] :
( ( X2 @ X3 @ X3 )
= X3 )
& ! [X3: a,X4: a,X5: a] :
( ( X1 @ ( X1 @ X3 @ X4 ) @ X5 )
= ( X1 @ X3 @ ( X1 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ X3 @ ( X2 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
= ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X2 @ X3 @ X4 )
= ( X2 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X1 @ ( X2 @ X3 @ X4 ) @ X4 )
= X4 )
& ! [X3: a,X4: a] :
( ( X2 @ ( X1 @ X3 @ X4 ) @ X4 )
= X4 )
& ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ ( X2 @ X4 @ X5 ) )
= ( X2 @ ( X1 @ X3 @ X4 ) @ ( X1 @ X3 @ X5 ) ) )
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ X3 @ ( X1 @ X4 @ X5 ) )
= ( X1 @ ( X2 @ X3 @ X4 ) @ ( X2 @ X3 @ X5 ) ) ) )
=> ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ ( X2 @ X4 @ ( X1 @ X3 @ X5 ) ) )
= ( X2 @ ( X1 @ X3 @ X4 ) @ ( X1 @ X3 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dRUj1elAtc/E---3.1_191279.p',cMODULAR_THM_DEF2_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > a,X2: a > a > a] :
( ( ! [X3: a] :
( ( X1 @ X3 @ X3 )
= X3 )
& ! [X3: a] :
( ( X2 @ X3 @ X3 )
= X3 )
& ! [X3: a,X4: a,X5: a] :
( ( X1 @ ( X1 @ X3 @ X4 ) @ X5 )
= ( X1 @ X3 @ ( X1 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ X3 @ ( X2 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
= ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X2 @ X3 @ X4 )
= ( X2 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X1 @ ( X2 @ X3 @ X4 ) @ X4 )
= X4 )
& ! [X3: a,X4: a] :
( ( X2 @ ( X1 @ X3 @ X4 ) @ X4 )
= X4 )
& ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ ( X2 @ X4 @ X5 ) )
= ( X2 @ ( X1 @ X3 @ X4 ) @ ( X1 @ X3 @ X5 ) ) )
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ X3 @ ( X1 @ X4 @ X5 ) )
= ( X1 @ ( X2 @ X3 @ X4 ) @ ( X2 @ X3 @ X5 ) ) ) )
=> ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ ( X2 @ X4 @ ( X1 @ X3 @ X5 ) ) )
= ( X2 @ ( X1 @ X3 @ X4 ) @ ( X1 @ X3 @ X5 ) ) ) ),
inference(assume_negation,[status(cth)],[cMODULAR_THM_DEF2_pme]) ).
thf(c_0_2,negated_conjecture,
! [X35: a,X36: a,X37: a,X38: a,X39: a,X40: a,X41: a,X42: a,X43: a,X44: a,X45: a,X46: a,X47: a,X48: a,X49: a,X50: a,X51: a,X52: a,X53: a,X54: a,X55: a,X56: a] :
( ( ( esk1_0 @ X35 @ X35 )
= X35 )
& ( ( esk2_0 @ X36 @ X36 )
= X36 )
& ( ( esk1_0 @ ( esk1_0 @ X37 @ X38 ) @ X39 )
= ( esk1_0 @ X37 @ ( esk1_0 @ X38 @ X39 ) ) )
& ( ( esk2_0 @ ( esk2_0 @ X40 @ X41 ) @ X42 )
= ( esk2_0 @ X40 @ ( esk2_0 @ X41 @ X42 ) ) )
& ( ( esk1_0 @ X43 @ X44 )
= ( esk1_0 @ X44 @ X43 ) )
& ( ( esk2_0 @ X45 @ X46 )
= ( esk2_0 @ X46 @ X45 ) )
& ( ( esk1_0 @ ( esk2_0 @ X47 @ X48 ) @ X48 )
= X48 )
& ( ( esk2_0 @ ( esk1_0 @ X49 @ X50 ) @ X50 )
= X50 )
& ( ( esk1_0 @ X51 @ ( esk2_0 @ X52 @ X53 ) )
= ( esk2_0 @ ( esk1_0 @ X51 @ X52 ) @ ( esk1_0 @ X51 @ X53 ) ) )
& ( ( esk2_0 @ X54 @ ( esk1_0 @ X55 @ X56 ) )
= ( esk1_0 @ ( esk2_0 @ X54 @ X55 ) @ ( esk2_0 @ X54 @ X56 ) ) )
& ( ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ ( esk1_0 @ esk3_0 @ esk5_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 @ esk5_0 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ ( esk1_0 @ X3 @ X4 ) @ X5 )
= ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: a] :
( ( esk1_0 @ X3 @ X3 )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ ( esk1_0 @ esk3_0 @ esk5_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 @ esk5_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ X3 @ ( esk2_0 @ X4 @ X5 ) )
= ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ ( esk1_0 @ X3 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X3: a,X4: a] :
( ( esk1_0 @ X3 @ ( esk1_0 @ X3 @ X4 ) )
= ( esk1_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_8,negated_conjecture,
( ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ ( esk1_0 @ esk3_0 @ esk5_0 ) ) )
!= ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ esk5_0 ) ) ),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ X3 @ ( esk2_0 @ X4 @ ( esk1_0 @ X3 @ X5 ) ) )
= ( esk1_0 @ X3 @ ( esk2_0 @ X4 @ X5 ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_6]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV002^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 14:59:56 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 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.dRUj1elAtc/E---3.1_191279.p
% 0.20/0.28 % Version: 3.5.1-ho
% 0.20/0.28 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.28 % Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.28 % Starting post_as_ho12 with 300s (1) cores
% 0.20/0.28 % Starting new_ho_3 with 300s (1) cores
% 0.20/0.28 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.28 % post_as_ho1 with pid 191292 completed with status 0
% 0.20/0.28 % Result found by post_as_ho1
% 0.20/0.28 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.28 % Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.28 % No SInE strategy applied
% 0.20/0.28 % Search class: HUUPM-FFSF00-MSSFFFNN
% 0.20/0.28 % partial match(2): HUUPF-FFSF00-SSSFFFNN
% 0.20/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.28 % Starting post_as_ho1 with 151s (1) cores
% 0.20/0.28 % Starting sh5l with 136s (1) cores
% 0.20/0.28 % Starting new_bool_1 with 136s (1) cores
% 0.20/0.28 % Starting new_bool_2 with 136s (1) cores
% 0.20/0.28 % SubtermCWHack with pid 191297 completed with status 0
% 0.20/0.29 % Result found by SubtermCWHack
% 0.20/0.29 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.29 % Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.29 % No SInE strategy applied
% 0.20/0.29 % Search class: HUUPM-FFSF00-MSSFFFNN
% 0.20/0.29 % partial match(2): HUUPF-FFSF00-SSSFFFNN
% 0.20/0.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.29 % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.29 % Preprocessing time : 0.001 s
% 0.20/0.29
% 0.20/0.29 % Proof found!
% 0.20/0.29 % SZS status Theorem
% 0.20/0.29 % SZS output start CNFRefutation
% See solution above
% 0.20/0.29 % Parsed axioms : 2
% 0.20/0.29 % Removed by relevancy pruning/SinE : 0
% 0.20/0.29 % Initial clauses : 12
% 0.20/0.29 % Removed in clause preprocessing : 1
% 0.20/0.29 % Initial clauses in saturation : 11
% 0.20/0.29 % Processed clauses : 375
% 0.20/0.29 % ...of these trivial : 99
% 0.20/0.29 % ...subsumed : 214
% 0.20/0.29 % ...remaining for further processing : 62
% 0.20/0.29 % Other redundant clauses eliminated : 0
% 0.20/0.29 % Clauses deleted for lack of memory : 0
% 0.20/0.29 % Backward-subsumed : 0
% 0.20/0.29 % Backward-rewritten : 4
% 0.20/0.29 % Generated clauses : 3779
% 0.20/0.29 % ...of the previous two non-redundant : 2196
% 0.20/0.29 % ...aggressively subsumed : 0
% 0.20/0.29 % Contextual simplify-reflections : 0
% 0.20/0.29 % Paramodulations : 3779
% 0.20/0.29 % Factorizations : 0
% 0.20/0.29 % NegExts : 0
% 0.20/0.29 % Equation resolutions : 0
% 0.20/0.29 % Disequality decompositions : 0
% 0.20/0.29 % Total rewrite steps : 4428
% 0.20/0.29 % ...of those cached : 2908
% 0.20/0.29 % Propositional unsat checks : 0
% 0.20/0.29 % Propositional check models : 0
% 0.20/0.29 % Propositional check unsatisfiable : 0
% 0.20/0.29 % Propositional clauses : 0
% 0.20/0.29 % Propositional clauses after purity: 0
% 0.20/0.29 % Propositional unsat core size : 0
% 0.20/0.29 % Propositional preprocessing time : 0.000
% 0.20/0.29 % Propositional encoding time : 0.000
% 0.20/0.29 % Propositional solver time : 0.000
% 0.20/0.29 % Success case prop preproc time : 0.000
% 0.20/0.29 % Success case prop encoding time : 0.000
% 0.20/0.29 % Success case prop solver time : 0.000
% 0.20/0.29 % Current number of processed clauses : 58
% 0.20/0.29 % Positive orientable unit clauses : 50
% 0.20/0.29 % Positive unorientable unit clauses: 8
% 0.20/0.29 % Negative unit clauses : 0
% 0.20/0.29 % Non-unit-clauses : 0
% 0.20/0.29 % Current number of unprocessed clauses: 1827
% 0.20/0.29 % ...number of literals in the above : 1827
% 0.20/0.29 % Current number of archived formulas : 0
% 0.20/0.29 % Current number of archived clauses : 4
% 0.20/0.29 % Clause-clause subsumption calls (NU) : 0
% 0.20/0.29 % Rec. Clause-clause subsumption calls : 0
% 0.20/0.29 % Non-unit clause-clause subsumptions : 0
% 0.20/0.29 % Unit Clause-clause subsumption calls : 21
% 0.20/0.29 % Rewrite failures with RHS unbound : 0
% 0.20/0.29 % BW rewrite match attempts : 221
% 0.20/0.29 % BW rewrite match successes : 135
% 0.20/0.29 % Condensation attempts : 0
% 0.20/0.29 % Condensation successes : 0
% 0.20/0.29 % Termbank termtop insertions : 31126
% 0.20/0.29 % Search garbage collected termcells : 466
% 0.20/0.29
% 0.20/0.29 % -------------------------------------------------
% 0.20/0.29 % User time : 0.026 s
% 0.20/0.29 % System time : 0.005 s
% 0.20/0.29 % Total time : 0.030 s
% 0.20/0.29 % Maximum resident set size: 3584 pages
% 0.20/0.29
% 0.20/0.29 % -------------------------------------------------
% 0.20/0.29 % User time : 0.095 s
% 0.20/0.29 % System time : 0.019 s
% 0.20/0.29 % Total time : 0.114 s
% 0.20/0.29 % Maximum resident set size: 4864 pages
% 0.20/0.29 % E exiting
%------------------------------------------------------------------------------