%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU894^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:28:04 AM UTC 2026
% Result : Theorem 0.11s 0.23s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 87 ( 8 ~; 5 |; 13 &; 49 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 31 ( 4 ^; 18 !; 9 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
esk1_0: $i > $i ).
thf(decl_24,type,
esk2_2: ( $i > $i ) > ( ( $i > $i ) > $o ) > $i > $i ).
thf(decl_25,type,
esk3_1: ( $i > $i ) > $i ).
thf(cTHM15_0_pme,conjecture,
! [X1: $i > $i] :
? [X2: $i > $i] :
( ( ! [X3: ( $i > $i ) > $o] :
( ( ( X3 @ X1 )
& ! [X4: $i > $i] :
( ( X3 @ X4 )
=> ( X3
@ ^ [X5: $i] : ( X1 @ ( X4 @ X5 ) ) ) ) )
=> ( X3 @ X2 ) )
& ? [X6: $i] :
( ( ( X2 @ X6 )
= X6 )
& ! [X7: $i] :
( ( ( X2 @ X7 )
= X7 )
=> ( X6 = X7 ) ) ) )
=> ? [X7: $i] :
( ( X1 @ X7 )
= X7 ) ),
file('/export/starexec/sandbox/tmp/tmp.7uKK9cVpBb/E---3.1_3256089.p',cTHM15_0_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $i > $i] :
? [X2: $i > $i] :
( ( ! [X3: ( $i > $i ) > $o] :
( ( ( X3 @ X1 )
& ! [X4: $i > $i] :
( ( X3 @ X4 )
=> ( X3
@ ^ [X5: $i] : ( X1 @ ( X4 @ X5 ) ) ) ) )
=> ( X3 @ X2 ) )
& ? [X6: $i] :
( ( ( X2 @ X6 )
= X6 )
& ! [X7: $i] :
( ( ( X2 @ X7 )
= X7 )
=> ( X6 = X7 ) ) ) )
=> ? [X7: $i] :
( ( X1 @ X7 )
= X7 ) ),
inference(assume_negation,[status(cth)],[cTHM15_0_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: $i > $i] :
? [X2: $i > $i] :
( ( ! [X3: ( $i > $i ) > $o] :
( ( ( X3 @ X1 )
& ! [X4: $i > $i] :
( ( X3 @ X4 )
=> ( X3
@ ^ [Z0: $i] : ( X1 @ ( X4 @ Z0 ) ) ) ) )
=> ( X3 @ X2 ) )
& ? [X6: $i] :
( ( ( X2 @ X6 )
= X6 )
& ! [X7: $i] :
( ( ( X2 @ X7 )
= X7 )
=> ( X6 = X7 ) ) ) )
=> ? [X7: $i] :
( ( X1 @ X7 )
= X7 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X16: $i > $i,X17: ( $i > $i ) > $o,X20: $i,X21: $i] :
( ( ( X17 @ ( esk2_2 @ X16 @ X17 ) )
| ~ ( X17 @ esk1_0 )
| ( X17 @ X16 ) )
& ( ~ ( X17
@ ^ [Z0: $i] : ( esk1_0 @ ( esk2_2 @ X16 @ X17 @ Z0 ) ) )
| ~ ( X17 @ esk1_0 )
| ( X17 @ X16 ) )
& ( ( X16 @ ( esk3_1 @ X16 ) )
= ( esk3_1 @ X16 ) )
& ( ( ( X16 @ X20 )
!= X20 )
| ( ( esk3_1 @ X16 )
= X20 ) )
& ( ( esk1_0 @ X21 )
!= X21 ) ),
inference(distribute,[status(thm)],[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_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X5: $i] :
( ( esk1_0 @ X5 )
!= X5 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i > $i] :
( ( X1 @ ( esk3_1 @ X1 ) )
= ( esk3_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_4,c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU894^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n008.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Sep 29 14:45:09 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.21 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.7uKK9cVpBb/E---3.1_3256089.p
% 0.11/0.23 % Version: 3.5.1-ho
% 0.11/0.23 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.11/0.23 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.23 % Starting sh2lt with 1200s (4) cores
% 0.11/0.23 % Starting new_ho_10_unif with 300s (1) cores
% 0.11/0.23 % Starting full_lambda_6 with 300s (1) cores
% 0.11/0.23 % Starting post_as_ho1 with 300s (1) cores
% 0.11/0.23 % Starting ehoh_best3_rw with 300s (1) cores
% 0.11/0.23 % new_ho_10_unif with pid 3256103 completed with status 0
% 0.11/0.23 % Result found by new_ho_10_unif
% 0.11/0.23 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.11/0.23 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.23 % Starting sh2lt with 1200s (4) cores
% 0.11/0.23 % Starting new_ho_10_unif with 300s (1) cores
% 0.11/0.23 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.23 % No SInE strategy applied
% 0.11/0.23 % Search class: HGUSF-FFSF21-MHHFFMBN
% 0.11/0.23 % partial match(2): HGUSF-FFSF11-MHHFFSBN
% 0.11/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.23 % SubtermCWHack with pid 3256107 completed with status 0
% 0.11/0.23 % Result found by SubtermCWHack
% 0.11/0.23 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.11/0.23 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.23 % Starting sh2lt with 1200s (4) cores
% 0.11/0.23 % Starting new_ho_10_unif with 300s (1) cores
% 0.11/0.23 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.23 % No SInE strategy applied
% 0.11/0.23 % Search class: HGUSF-FFSF21-MHHFFMBN
% 0.11/0.23 % partial match(2): HGUSF-FFSF11-MHHFFSBN
% 0.11/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.23 % Preprocessing time : 0.001 s
% 0.11/0.23
% 0.11/0.23 % Proof found!
% 0.11/0.23 % SZS status Theorem
% 0.11/0.23 % SZS output start CNFRefutation
% See solution above
% 0.11/0.23 % Parsed axioms : 1
% 0.11/0.23 % Removed by relevancy pruning/SinE : 0
% 0.11/0.23 % Initial clauses : 5
% 0.11/0.23 % Removed in clause preprocessing : 0
% 0.11/0.23 % Initial clauses in saturation : 5
% 0.11/0.23 % Processed clauses : 2
% 0.11/0.23 % ...of these trivial : 0
% 0.11/0.23 % ...subsumed : 0
% 0.11/0.23 % ...remaining for further processing : 2
% 0.11/0.23 % Other redundant clauses eliminated : 0
% 0.11/0.23 % Clauses deleted for lack of memory : 0
% 0.11/0.23 % Backward-subsumed : 0
% 0.11/0.23 % Backward-rewritten : 0
% 0.11/0.23 % Generated clauses : 1
% 0.11/0.23 % ...of the previous two non-redundant : 0
% 0.11/0.23 % ...aggressively subsumed : 0
% 0.11/0.23 % Contextual simplify-reflections : 0
% 0.11/0.23 % Paramodulations : 1
% 0.11/0.23 % Factorizations : 0
% 0.11/0.23 % NegExts : 0
% 0.11/0.23 % Equation resolutions : 0
% 0.11/0.23 % Disequality decompositions : 0
% 0.11/0.23 % Total rewrite steps : 0
% 0.11/0.23 % ...of those cached : 0
% 0.11/0.23 % Propositional unsat checks : 0
% 0.11/0.23 % Propositional check models : 0
% 0.11/0.23 % Propositional check unsatisfiable : 0
% 0.11/0.23 % Propositional clauses : 0
% 0.11/0.23 % Propositional clauses after purity: 0
% 0.11/0.23 % Propositional unsat core size : 0
% 0.11/0.23 % Propositional preprocessing time : 0.000
% 0.11/0.23 % Propositional encoding time : 0.000
% 0.11/0.23 % Propositional solver time : 0.000
% 0.11/0.23 % Success case prop preproc time : 0.000
% 0.11/0.23 % Success case prop encoding time : 0.000
% 0.11/0.23 % Success case prop solver time : 0.000
% 0.11/0.23 % Current number of processed clauses : 2
% 0.11/0.23 % Positive orientable unit clauses : 1
% 0.11/0.23 % Positive unorientable unit clauses: 0
% 0.11/0.23 % Negative unit clauses : 1
% 0.11/0.23 % Non-unit-clauses : 0
% 0.11/0.23 % Current number of unprocessed clauses: 3
% 0.11/0.23 % ...number of literals in the above : 8
% 0.11/0.23 % Current number of archived formulas : 0
% 0.11/0.23 % Current number of archived clauses : 0
% 0.11/0.23 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.23 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.23 % Non-unit clause-clause subsumptions : 0
% 0.11/0.23 % Unit Clause-clause subsumption calls : 0
% 0.11/0.23 % Rewrite failures with RHS unbound : 0
% 0.11/0.23 % BW rewrite match attempts : 1
% 0.11/0.23 % BW rewrite match successes : 0
% 0.11/0.23 % Condensation attempts : 0
% 0.11/0.23 % Condensation successes : 0
% 0.11/0.23 % Termbank termtop insertions : 520
% 0.11/0.23 % Search garbage collected termcells : 237
% 0.11/0.23
% 0.11/0.23 % -------------------------------------------------
% 0.11/0.23 % User time : 0.001 s
% 0.11/0.23 % System time : 0.003 s
% 0.11/0.23 % Total time : 0.004 s
% 0.11/0.23 % Maximum resident set size: 3636 pages
% 0.11/0.23
% 0.11/0.23 % -------------------------------------------------
% 0.11/0.23 % User time : 0.003 s
% 0.11/0.23 % System time : 0.007 s
% 0.11/0.23 % Total time : 0.010 s
% 0.11/0.23 % Maximum resident set size: 4864 pages
% 0.11/0.23 % E exiting
%------------------------------------------------------------------------------