%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV186^5 : 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 : n016.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 08:35:10 AM UTC 2026
% Result : Theorem 0.27s 0.39s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 188 ( 28 ~; 28 |; 10 &; 102 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_23,type,
epred1_0: ( b > $o ) > ( b > $o ) > $o ).
thf(decl_24,type,
epred2_0: ( b > $o ) > $o ).
thf(decl_25,type,
esk1_3: ( b > $o ) > ( b > $o ) > ( b > $o ) > b ).
thf(decl_26,type,
epred3_0: b > $o ).
thf(decl_27,type,
epred4_0: b > $o ).
thf(decl_28,type,
esk2_0: b ).
thf(decl_29,type,
epred5_0: b > $o ).
thf(cTHM565_pme,conjecture,
! [X1: ( b > $o ) > ( b > $o ) > $o,X2: ( b > $o ) > $o] :
( ! [X3: b > $o] :
( ( X2 @ X3 )
=> ! [X4: b > $o,X5: b > $o] :
( ( ! [X6: b] :
( ( X4 @ X6 )
=> ( X3 @ X6 ) )
& ( X1 @ X4 @ X5 ) )
=> ! [X6: b] :
( ( X5 @ X6 )
=> ( X3 @ X6 ) ) ) )
=> ! [X4: b > $o,X5: b > $o] :
( ( ! [X7: b] :
( ( X4 @ X7 )
=> ! [X8: b > $o] :
( ( X2 @ X8 )
=> ( X8 @ X7 ) ) )
& ( X1 @ X4 @ X5 ) )
=> ! [X9: b] :
( ( X5 @ X9 )
=> ! [X8: b > $o] :
( ( X2 @ X8 )
=> ( X8 @ X9 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DbiUOo3lFj/E---3.1_480691.p',cTHM565_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( b > $o ) > ( b > $o ) > $o,X2: ( b > $o ) > $o] :
( ! [X3: b > $o] :
( ( X2 @ X3 )
=> ! [X4: b > $o,X5: b > $o] :
( ( ! [X6: b] :
( ( X4 @ X6 )
=> ( X3 @ X6 ) )
& ( X1 @ X4 @ X5 ) )
=> ! [X6: b] :
( ( X5 @ X6 )
=> ( X3 @ X6 ) ) ) )
=> ! [X4: b > $o,X5: b > $o] :
( ( ! [X7: b] :
( ( X4 @ X7 )
=> ! [X8: b > $o] :
( ( X2 @ X8 )
=> ( X8 @ X7 ) ) )
& ( X1 @ X4 @ X5 ) )
=> ! [X9: b] :
( ( X5 @ X9 )
=> ! [X8: b > $o] :
( ( X2 @ X8 )
=> ( X8 @ X9 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM565_pme]) ).
thf(c_0_2,negated_conjecture,
! [X25: b > $o,X26: b > $o,X27: b > $o,X29: b,X32: b,X33: b > $o] :
( ( ( X26 @ ( esk1_3 @ X25 @ X26 @ X27 ) )
| ~ ( epred1_0 @ X26 @ X27 )
| ~ ( X27 @ X29 )
| ( X25 @ X29 )
| ~ ( epred2_0 @ X25 ) )
& ( ~ ( X25 @ ( esk1_3 @ X25 @ X26 @ X27 ) )
| ~ ( epred1_0 @ X26 @ X27 )
| ~ ( X27 @ X29 )
| ( X25 @ X29 )
| ~ ( epred2_0 @ X25 ) )
& ( ~ ( epred3_0 @ X32 )
| ~ ( epred2_0 @ X33 )
| ( X33 @ X32 ) )
& ( epred1_0 @ epred3_0 @ epred4_0 )
& ( epred4_0 @ esk2_0 )
& ( epred2_0 @ epred5_0 )
& ~ ( epred5_0 @ esk2_0 ) ),
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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X6: b,X3: b > $o] :
( ( X3 @ X6 )
| ~ ( epred3_0 @ X6 )
| ~ ( epred2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
epred2_0 @ epred5_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X4: b > $o,X6: b,X5: b > $o,X3: b > $o] :
( ( X3 @ X6 )
| ~ ( X3 @ ( esk1_3 @ X3 @ X4 @ X5 ) )
| ~ ( epred1_0 @ X4 @ X5 )
| ~ ( X5 @ X6 )
| ~ ( epred2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X6: b] :
( ( epred5_0 @ X6 )
| ~ ( epred3_0 @ X6 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X3: b > $o,X6: b,X5: b > $o,X4: b > $o] :
( ( X3 @ ( esk1_3 @ X4 @ X3 @ X5 ) )
| ( X4 @ X6 )
| ~ ( epred1_0 @ X3 @ X5 )
| ~ ( X5 @ X6 )
| ~ ( epred2_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
epred4_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X3: b > $o,X4: b > $o,X6: b] :
( ( epred5_0 @ X6 )
| ~ ( epred3_0 @ ( esk1_3 @ epred5_0 @ X3 @ X4 ) )
| ~ ( epred1_0 @ X3 @ X4 )
| ~ ( X4 @ X6 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4])]) ).
thf(c_0_10,negated_conjecture,
! [X3: b > $o,X4: b > $o] :
( ( X3 @ ( esk1_3 @ X4 @ X3 @ epred4_0 ) )
| ( X4 @ esk2_0 )
| ~ ( epred1_0 @ X3 @ epred4_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ epred3_0 @ epred4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
~ ( epred5_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X6: b] :
( ( epred5_0 @ X6 )
| ~ ( epred4_0 @ X6 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_4])]),c_0_12]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV186^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n016.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Tue Sep 29 15:24:19 UTC 2026
% 0.11/0.28 % CPUTime :
% 0.11/0.28 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.34 Running higher-order theorem proving
% 0.27/0.36 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.DbiUOo3lFj/E---3.1_480691.p
% 0.27/0.39 % Version: 3.5.1-ho
% 0.27/0.39 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.39 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.39 % Starting sh2lt with 1200s (4) cores
% 0.27/0.39 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.39 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.39 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.39 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.39 % new_ho_10_unif with pid 480705 completed with status 0
% 0.27/0.39 % Result found by new_ho_10_unif
% 0.27/0.39 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.39 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.39 % Starting sh2lt with 1200s (4) cores
% 0.27/0.39 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.39 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.39 % No SInE strategy applied
% 0.27/0.39 % Search class: HGUNF-FFSS33-SHHFFSBN
% 0.27/0.39 % partial match(3): HGUNF-FFSF00-SHHFFSBN
% 0.27/0.39 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.39 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.39 % SubtermCWHack with pid 480709 completed with status 0
% 0.27/0.39 % Result found by SubtermCWHack
% 0.27/0.39 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.39 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.39 % Starting sh2lt with 1200s (4) cores
% 0.27/0.39 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.39 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.39 % No SInE strategy applied
% 0.27/0.39 % Search class: HGUNF-FFSS33-SHHFFSBN
% 0.27/0.39 % partial match(3): HGUNF-FFSF00-SHHFFSBN
% 0.27/0.39 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.39 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.39 % Preprocessing time : 0.002 s
% 0.27/0.39
% 0.27/0.39 % Proof found!
% 0.27/0.39 % SZS status Theorem
% 0.27/0.39 % SZS output start CNFRefutation
% See solution above
% 0.27/0.39 % Parsed axioms : 2
% 0.27/0.39 % Removed by relevancy pruning/SinE : 0
% 0.27/0.39 % Initial clauses : 8
% 0.27/0.39 % Removed in clause preprocessing : 1
% 0.27/0.39 % Initial clauses in saturation : 7
% 0.27/0.39 % Processed clauses : 16
% 0.27/0.39 % ...of these trivial : 0
% 0.27/0.39 % ...subsumed : 1
% 0.27/0.39 % ...remaining for further processing : 15
% 0.27/0.39 % Other redundant clauses eliminated : 0
% 0.27/0.39 % Clauses deleted for lack of memory : 0
% 0.27/0.39 % Backward-subsumed : 1
% 0.27/0.39 % Backward-rewritten : 0
% 0.27/0.39 % Generated clauses : 15
% 0.27/0.39 % ...of the previous two non-redundant : 14
% 0.27/0.39 % ...aggressively subsumed : 0
% 0.27/0.39 % Contextual simplify-reflections : 0
% 0.27/0.39 % Paramodulations : 15
% 0.27/0.39 % Factorizations : 0
% 0.27/0.39 % NegExts : 0
% 0.27/0.39 % Equation resolutions : 0
% 0.27/0.39 % Disequality decompositions : 0
% 0.27/0.39 % Total rewrite steps : 6
% 0.27/0.39 % ...of those cached : 3
% 0.27/0.39 % Propositional unsat checks : 0
% 0.27/0.39 % Propositional check models : 0
% 0.27/0.39 % Propositional check unsatisfiable : 0
% 0.27/0.39 % Propositional clauses : 0
% 0.27/0.39 % Propositional clauses after purity: 0
% 0.27/0.39 % Propositional unsat core size : 0
% 0.27/0.39 % Propositional preprocessing time : 0.000
% 0.27/0.39 % Propositional encoding time : 0.000
% 0.27/0.39 % Propositional solver time : 0.000
% 0.27/0.39 % Success case prop preproc time : 0.000
% 0.27/0.39 % Success case prop encoding time : 0.000
% 0.27/0.39 % Success case prop solver time : 0.000
% 0.27/0.39 % Current number of processed clauses : 14
% 0.27/0.39 % Positive orientable unit clauses : 3
% 0.27/0.39 % Positive unorientable unit clauses: 0
% 0.27/0.39 % Negative unit clauses : 3
% 0.27/0.39 % Non-unit-clauses : 8
% 0.27/0.39 % Current number of unprocessed clauses: 3
% 0.27/0.39 % ...number of literals in the above : 18
% 0.27/0.39 % Current number of archived formulas : 0
% 0.27/0.39 % Current number of archived clauses : 1
% 0.27/0.39 % Clause-clause subsumption calls (NU) : 9
% 0.27/0.39 % Rec. Clause-clause subsumption calls : 7
% 0.27/0.39 % Non-unit clause-clause subsumptions : 1
% 0.27/0.39 % Unit Clause-clause subsumption calls : 2
% 0.27/0.39 % Rewrite failures with RHS unbound : 0
% 0.27/0.39 % BW rewrite match attempts : 0
% 0.27/0.39 % BW rewrite match successes : 0
% 0.27/0.39 % Condensation attempts : 0
% 0.27/0.39 % Condensation successes : 0
% 0.27/0.39 % Termbank termtop insertions : 1235
% 0.27/0.39 % Search garbage collected termcells : 354
% 0.27/0.39
% 0.27/0.39 % -------------------------------------------------
% 0.27/0.39 % User time : 0.006 s
% 0.27/0.39 % System time : 0.002 s
% 0.27/0.39 % Total time : 0.008 s
% 0.27/0.39 % Maximum resident set size: 3640 pages
% 0.27/0.39
% 0.27/0.39 % -------------------------------------------------
% 0.27/0.39 % User time : 0.009 s
% 0.27/0.39 % System time : 0.008 s
% 0.27/0.39 % Total time : 0.017 s
% 0.27/0.39 % Maximum resident set size: 4864 pages
% 0.27/0.39 % E exiting
%------------------------------------------------------------------------------