%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU968^5 : 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 : n007.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 08:26:01 AM UTC 2026
% Result : Theorem 0.18s 0.28s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 227 ( 18 ~; 20 |; 19 &; 146 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 89 ( 48 ^; 41 !; 0 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
esk1_0: a > a ).
thf(decl_24,type,
esk2_0: a > a ).
thf(decl_25,type,
esk3_0: a > a ).
thf(decl_26,type,
esk4_1: ( ( a > a ) > $o ) > a > a ).
thf(decl_27,type,
esk5_1: ( ( a > a ) > $o ) > a > a ).
thf(decl_28,type,
epred1_0: ( a > a ) > $o ).
thf(cTHM135C_pme,conjecture,
( ! [X1: a > a] :
( ( ^ [X2: a] : ( X1 @ X2 ) )
= X1 )
=> ! [X3: a > a,X4: a > a,X5: a > a] :
( ( ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [X7: a] : X7 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [X2: a] : ( X3 @ ( X8 @ X2 ) ) ) ) )
=> ( X6 @ X4 ) )
& ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [X7: a] : X7 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [X2: a] : ( X3 @ ( X8 @ X2 ) ) ) ) )
=> ( X6 @ X5 ) ) )
=> ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [X7: a] : X7 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [X2: a] : ( X3 @ ( X8 @ X2 ) ) ) ) )
=> ( X6
@ ^ [X2: a] : ( X4 @ ( X5 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UQsRMRLvl1/E---3.1_3462534.p',cTHM135C_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: a > a] :
( ( ^ [X2: a] : ( X1 @ X2 ) )
= X1 )
=> ! [X3: a > a,X4: a > a,X5: a > a] :
( ( ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [X7: a] : X7 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [X2: a] : ( X3 @ ( X8 @ X2 ) ) ) ) )
=> ( X6 @ X4 ) )
& ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [X7: a] : X7 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [X2: a] : ( X3 @ ( X8 @ X2 ) ) ) ) )
=> ( X6 @ X5 ) ) )
=> ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [X7: a] : X7 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [X2: a] : ( X3 @ ( X8 @ X2 ) ) ) ) )
=> ( X6
@ ^ [X2: a] : ( X4 @ ( X5 @ X2 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM135C_pme]) ).
thf(c_0_2,negated_conjecture,
~ ( ! [X1: a > a,X19: a] :
( ( X1 @ X19 )
= ( X1 @ X19 ) )
=> ! [X3: a > a,X4: a > a,X5: a > a] :
( ( ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [Z0: a] : Z0 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [Z0: a] : ( X3 @ ( X8 @ Z0 ) ) ) ) )
=> ( X6 @ X4 ) )
& ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [Z0: a] : Z0 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [Z0: a] : ( X3 @ ( X8 @ Z0 ) ) ) ) )
=> ( X6 @ X5 ) ) )
=> ! [X6: ( a > a ) > $o] :
( ( ( X6
@ ^ [Z0: a] : Z0 )
& ! [X8: a > a] :
( ( X6 @ X8 )
=> ( X6
@ ^ [Z0: a] : ( X3 @ ( X8 @ Z0 ) ) ) ) )
=> ( X6
@ ^ [Z0: a] : ( X4 @ ( X5 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
! [X20: a > a,X21: a,X25: ( a > a ) > $o,X27: ( a > a ) > $o,X30: a > a] :
( ( ( X20 @ X21 )
= ( X20 @ X21 ) )
& ( ( X25 @ ( esk4_1 @ X25 ) )
| ~ ( X25
@ ^ [Z0: a] : Z0 )
| ( X25 @ esk2_0 ) )
& ( ~ ( X25
@ ^ [Z0: a] : ( esk1_0 @ ( esk4_1 @ X25 @ Z0 ) ) )
| ~ ( X25
@ ^ [Z0: a] : Z0 )
| ( X25 @ esk2_0 ) )
& ( ( X27 @ ( esk5_1 @ X27 ) )
| ~ ( X27
@ ^ [Z0: a] : Z0 )
| ( X27 @ esk3_0 ) )
& ( ~ ( X27
@ ^ [Z0: a] : ( esk1_0 @ ( esk5_1 @ X27 @ Z0 ) ) )
| ~ ( X27
@ ^ [Z0: a] : Z0 )
| ( X27 @ esk3_0 ) )
& ( epred1_0
@ ^ [Z0: a] : Z0 )
& ( ~ ( epred1_0 @ X30 )
| ( epred1_0
@ ^ [Z0: a] : ( esk1_0 @ ( X30 @ Z0 ) ) ) )
& ~ ( epred1_0
@ ^ [Z0: a] : ( esk2_0 @ ( esk3_0 @ Z0 ) ) ) ),
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,
! [X6: ( a > a ) > $o] :
( ( X6 @ ( esk5_1 @ X6 ) )
| ( X6 @ esk3_0 )
| ~ ( X6
@ ^ [Z0: a] : Z0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( epred1_0
@ ^ [Z0: a] : Z0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: a > a] :
( ( epred1_0
@ ^ [Z0: a] : ( esk1_0 @ ( X1 @ Z0 ) ) )
| ~ ( epred1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( ( epred1_0 @ ( esk5_1 @ epred1_0 ) )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X6: ( a > a ) > $o] :
( ( X6 @ esk3_0 )
| ~ ( X6
@ ^ [Z0: a] : ( esk1_0 @ ( esk5_1 @ X6 @ Z0 ) ) )
| ~ ( X6
@ ^ [Z0: a] : Z0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,negated_conjecture,
( ( epred1_0
@ ^ [Z0: a] : ( esk1_0 @ ( esk5_1 @ epred1_0 @ Z0 ) ) )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X6: ( a > a ) > $o] :
( ( X6 @ ( esk4_1 @ X6 ) )
| ( X6 @ esk2_0 )
| ~ ( X6
@ ^ [Z0: a] : Z0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_5])]) ).
thf(c_0_12,negated_conjecture,
~ ( epred1_0
@ ^ [Z0: a] : ( esk2_0 @ ( esk3_0 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_13,negated_conjecture,
( epred1_0
@ ^ [Z0: a] :
( esk4_1
@ ^ [Z1: a > a] :
( epred1_0
@ ^ [Z2: a] : ( Z1 @ ( esk3_0 @ Z2 ) ) )
@ ( esk3_0 @ Z0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
thf(c_0_14,negated_conjecture,
! [X6: ( a > a ) > $o] :
( ( X6 @ esk2_0 )
| ~ ( X6
@ ^ [Z0: a] : ( esk1_0 @ ( esk4_1 @ X6 @ Z0 ) ) )
| ~ ( X6
@ ^ [Z0: a] : Z0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_15,negated_conjecture,
( epred1_0
@ ^ [Z0: a] :
( esk1_0
@ ( esk4_1
@ ^ [Z1: a > a] :
( epred1_0
@ ^ [Z2: a] : ( Z1 @ ( esk3_0 @ Z2 ) ) )
@ ( esk3_0 @ Z0 ) ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_13]) ).
thf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_11])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU968^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 14:51:34 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 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.UQsRMRLvl1/E---3.1_3462534.p
% 0.18/0.28 % Version: 3.5.1-ho
% 0.18/0.28 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.18/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.28 % Starting post_as_ho5 with 1500s (5) cores
% 0.18/0.28 % Starting sh2lt with 300s (1) cores
% 0.18/0.28 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.18/0.28 % Starting post_as_ho10 with 300s (1) cores
% 0.18/0.28 % post_as_ho5 with pid 3462547 completed with status 0
% 0.18/0.28 % Result found by post_as_ho5
% 0.18/0.28 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.18/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.28 % Starting post_as_ho5 with 1500s (5) cores
% 0.18/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 0.18/0.28 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.18/0.28 % Search class: HGUNF-FFSF11-MHHFFMBN
% 0.18/0.28 % partial match(1): HGUNF-FFSF11-SHHFFMBN
% 0.18/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.28 % Starting post_as_ho5 with 151s (1) cores
% 0.18/0.28 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.18/0.28 % Starting sh5l with 136s (1) cores
% 0.18/0.28 % Starting new_bool_3 with 136s (1) cores
% 0.18/0.28 % SubtermCWHack with pid 3462551 completed with status 10
% 0.18/0.28 % Starting new_bool_1 with 136s (1) cores
% 0.18/0.28 % post_as_ho5 with pid 3462552 completed with status 0
% 0.18/0.28 % Result found by post_as_ho5
% 0.18/0.28 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.18/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.28 % Starting post_as_ho5 with 1500s (5) cores
% 0.18/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 0.18/0.28 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.18/0.28 % Search class: HGUNF-FFSF11-MHHFFMBN
% 0.18/0.28 % partial match(1): HGUNF-FFSF11-SHHFFMBN
% 0.18/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.28 % Starting post_as_ho5 with 151s (1) cores
% 0.18/0.28 % Preprocessing time : 0.001 s
% 0.18/0.28 % Presaturation interreduction done
% 0.18/0.28
% 0.18/0.28 % Proof found!
% 0.18/0.28 % SZS status Theorem
% 0.18/0.28 % SZS output start CNFRefutation
% See solution above
% 0.18/0.28 % Parsed axioms : 2
% 0.18/0.28 % Removed by relevancy pruning/SinE : 1
% 0.18/0.28 % Initial clauses : 8
% 0.18/0.28 % Removed in clause preprocessing : 1
% 0.18/0.28 % Initial clauses in saturation : 7
% 0.18/0.28 % Processed clauses : 69
% 0.18/0.28 % ...of these trivial : 0
% 0.18/0.28 % ...subsumed : 0
% 0.18/0.28 % ...remaining for further processing : 69
% 0.18/0.28 % Other redundant clauses eliminated : 0
% 0.18/0.28 % Clauses deleted for lack of memory : 0
% 0.18/0.28 % Backward-subsumed : 0
% 0.18/0.28 % Backward-rewritten : 13
% 0.18/0.28 % Generated clauses : 133
% 0.18/0.28 % ...of the previous two non-redundant : 97
% 0.18/0.28 % ...aggressively subsumed : 0
% 0.18/0.28 % Contextual simplify-reflections : 0
% 0.18/0.28 % Paramodulations : 94
% 0.18/0.28 % Factorizations : 0
% 0.18/0.28 % NegExts : 11
% 0.18/0.28 % Equation resolutions : 4
% 0.18/0.28 % Disequality decompositions : 0
% 0.18/0.28 % Total rewrite steps : 61
% 0.18/0.28 % ...of those cached : 54
% 0.18/0.28 % Propositional unsat checks : 0
% 0.18/0.28 % Propositional check models : 0
% 0.18/0.28 % Propositional check unsatisfiable : 0
% 0.18/0.28 % Propositional clauses : 0
% 0.18/0.28 % Propositional clauses after purity: 0
% 0.18/0.28 % Propositional unsat core size : 0
% 0.18/0.28 % Propositional preprocessing time : 0.000
% 0.18/0.28 % Propositional encoding time : 0.000
% 0.18/0.28 % Propositional solver time : 0.000
% 0.18/0.28 % Success case prop preproc time : 0.000
% 0.18/0.28 % Success case prop encoding time : 0.000
% 0.18/0.28 % Success case prop solver time : 0.000
% 0.18/0.28 % Current number of processed clauses : 48
% 0.18/0.28 % Positive orientable unit clauses : 22
% 0.18/0.28 % Positive unorientable unit clauses: 0
% 0.18/0.28 % Negative unit clauses : 5
% 0.18/0.28 % Non-unit-clauses : 21
% 0.18/0.28 % Current number of unprocessed clauses: 40
% 0.18/0.28 % ...number of literals in the above : 78
% 0.18/0.28 % Current number of archived formulas : 0
% 0.18/0.28 % Current number of archived clauses : 21
% 0.18/0.28 % Clause-clause subsumption calls (NU) : 54
% 0.18/0.28 % Rec. Clause-clause subsumption calls : 49
% 0.18/0.28 % Non-unit clause-clause subsumptions : 0
% 0.18/0.28 % Unit Clause-clause subsumption calls : 4
% 0.18/0.29 % Rewrite failures with RHS unbound : 0
% 0.18/0.29 % BW rewrite match attempts : 107
% 0.18/0.29 % BW rewrite match successes : 2
% 0.18/0.29 % Condensation attempts : 0
% 0.18/0.29 % Condensation successes : 0
% 0.18/0.29 % Termbank termtop insertions : 12314
% 0.18/0.29 % Search garbage collected termcells : 348
% 0.18/0.29
% 0.18/0.29 % -------------------------------------------------
% 0.18/0.29 % User time : 0.010 s
% 0.18/0.29 % System time : 0.007 s
% 0.18/0.29 % Total time : 0.016 s
% 0.18/0.29 % Maximum resident set size: 3636 pages
% 0.18/0.29
% 0.18/0.29 % -------------------------------------------------
% 0.18/0.29 % User time : 0.040 s
% 0.18/0.29 % System time : 0.018 s
% 0.18/0.29 % Total time : 0.058 s
% 0.18/0.29 % Maximum resident set size: 4608 pages
% 0.18/0.29 % E exiting
%------------------------------------------------------------------------------