%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV185^5 : 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 : n005.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 08:35:09 AM UTC 2026
% Result : Theorem 0.23s 0.33s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 150 ( 21 ~; 20 |; 9 &; 84 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_23,type,
epred1_0: ( b > $o ) > b > $o ).
thf(decl_24,type,
epred2_0: ( b > $o ) > $o ).
thf(decl_25,type,
esk1_3: ( b > $o ) > ( b > $o ) > b > b ).
thf(decl_26,type,
epred3_0: b > $o ).
thf(decl_27,type,
esk2_0: b ).
thf(decl_28,type,
epred4_0: b > $o ).
thf(cTHM564_pme,conjecture,
! [X1: ( b > $o ) > b > $o,X2: ( b > $o ) > $o] :
( ! [X3: b > $o] :
( ( X2 @ X3 )
=> ! [X4: b > $o,X5: b] :
( ( ! [X6: b] :
( ( X4 @ X6 )
=> ( X3 @ X6 ) )
& ( X1 @ X4 @ X5 ) )
=> ( X3 @ X5 ) ) )
=> ! [X4: b > $o,X5: b] :
( ( ! [X7: b] :
( ( X4 @ X7 )
=> ! [X8: b > $o] :
( ( X2 @ X8 )
=> ( X8 @ X7 ) ) )
& ( X1 @ X4 @ X5 ) )
=> ! [X8: b > $o] :
( ( X2 @ X8 )
=> ( X8 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.yK4yjNHBqD/E---3.1_1792582.p',cTHM564_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( b > $o ) > b > $o,X2: ( b > $o ) > $o] :
( ! [X3: b > $o] :
( ( X2 @ X3 )
=> ! [X4: b > $o,X5: b] :
( ( ! [X6: b] :
( ( X4 @ X6 )
=> ( X3 @ X6 ) )
& ( X1 @ X4 @ X5 ) )
=> ( X3 @ X5 ) ) )
=> ! [X4: b > $o,X5: b] :
( ( ! [X7: b] :
( ( X4 @ X7 )
=> ! [X8: b > $o] :
( ( X2 @ X8 )
=> ( X8 @ X7 ) ) )
& ( X1 @ X4 @ X5 ) )
=> ! [X8: b > $o] :
( ( X2 @ X8 )
=> ( X8 @ X5 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM564_pme]) ).
thf(c_0_2,negated_conjecture,
! [X22: b > $o,X23: b > $o,X24: b,X28: b,X29: b > $o] :
( ( ( X23 @ ( esk1_3 @ X22 @ X23 @ X24 ) )
| ~ ( epred1_0 @ X23 @ X24 )
| ( X22 @ X24 )
| ~ ( epred2_0 @ X22 ) )
& ( ~ ( X22 @ ( esk1_3 @ X22 @ X23 @ X24 ) )
| ~ ( epred1_0 @ X23 @ X24 )
| ( X22 @ X24 )
| ~ ( epred2_0 @ X22 ) )
& ( ~ ( epred3_0 @ X28 )
| ~ ( epred2_0 @ X29 )
| ( X29 @ X28 ) )
& ( epred1_0 @ epred3_0 @ esk2_0 )
& ( epred2_0 @ epred4_0 )
& ~ ( epred4_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,
! [X5: b,X3: b > $o] :
( ( X3 @ X5 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
epred2_0 @ epred4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X5: b,X4: b > $o,X3: b > $o] :
( ( X3 @ X5 )
| ~ ( X3 @ ( esk1_3 @ X3 @ X4 @ X5 ) )
| ~ ( epred1_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X5: b] :
( ( epred4_0 @ X5 )
| ~ ( epred3_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X3: b > $o,X5: b] :
( ( epred4_0 @ X5 )
| ~ ( epred3_0 @ ( esk1_3 @ epred4_0 @ X3 @ X5 ) )
| ~ ( epred1_0 @ X3 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4])]) ).
thf(c_0_8,negated_conjecture,
! [X3: b > $o,X5: b,X4: b > $o] :
( ( X3 @ ( esk1_3 @ X4 @ X3 @ X5 ) )
| ( X4 @ X5 )
| ~ ( epred1_0 @ X3 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X5: b] :
( ( epred4_0 @ X5 )
| ~ ( epred1_0 @ epred3_0 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_4])]) ).
thf(c_0_10,negated_conjecture,
epred1_0 @ epred3_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
~ ( epred4_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV185^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 % Computer : n005.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Tue Sep 29 15:19:16 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running higher-order theorem proving
% 0.23/0.31 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.yK4yjNHBqD/E---3.1_1792582.p
% 0.23/0.33 % Version: 3.5.1-ho
% 0.23/0.33 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.23/0.33 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting sh2lt with 1200s (4) cores
% 0.23/0.33 % Starting new_ho_10_unif with 300s (1) cores
% 0.23/0.33 % Starting full_lambda_6 with 300s (1) cores
% 0.23/0.33 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.33 % Starting ehoh_best3_rw with 300s (1) cores
% 0.23/0.33 % sh2lt with pid 1792606 completed with status 0
% 0.23/0.33 % Result found by sh2lt
% 0.23/0.33 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.23/0.33 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting sh2lt with 1200s (4) cores
% 0.23/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.23/0.33 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.23/0.33 % Search class: HGUNF-FFSF33-SHHFFMBN
% 0.23/0.33 % partial match(1): HGUNF-FFSF32-SHHFFMBN
% 0.23/0.33 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.23/0.33 % Starting SubtermCWHack with 109s (1) cores
% 0.23/0.33 % Starting sh2lt with 121s (1) cores
% 0.23/0.33 % Starting ehoh_best_sine_rwall with 109s (1) cores
% 0.23/0.33 % Starting sh5l with 109s (1) cores
% 0.23/0.33 % SubtermCWHack with pid 1792611 completed with status 0
% 0.23/0.33 % Result found by SubtermCWHack
% 0.23/0.33 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.23/0.33 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting sh2lt with 1200s (4) cores
% 0.23/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.23/0.33 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.23/0.33 % Search class: HGUNF-FFSF33-SHHFFMBN
% 0.23/0.33 % partial match(1): HGUNF-FFSF32-SHHFFMBN
% 0.23/0.33 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.23/0.33 % Starting SubtermCWHack with 109s (1) cores
% 0.23/0.33 % Preprocessing time : 0.001 s
% 0.23/0.33
% 0.23/0.33 % Proof found!
% 0.23/0.33 % SZS status Theorem
% 0.23/0.33 % SZS output start CNFRefutation
% See solution above
% 0.23/0.33 % Parsed axioms : 2
% 0.23/0.33 % Removed by relevancy pruning/SinE : 1
% 0.23/0.33 % Initial clauses : 6
% 0.23/0.33 % Removed in clause preprocessing : 0
% 0.23/0.33 % Initial clauses in saturation : 6
% 0.23/0.33 % Processed clauses : 12
% 0.23/0.33 % ...of these trivial : 0
% 0.23/0.33 % ...subsumed : 0
% 0.23/0.33 % ...remaining for further processing : 12
% 0.23/0.33 % Other redundant clauses eliminated : 0
% 0.23/0.33 % Clauses deleted for lack of memory : 0
% 0.23/0.33 % Backward-subsumed : 0
% 0.23/0.33 % Backward-rewritten : 0
% 0.23/0.33 % Generated clauses : 9
% 0.23/0.33 % ...of the previous two non-redundant : 8
% 0.23/0.33 % ...aggressively subsumed : 0
% 0.23/0.33 % Contextual simplify-reflections : 0
% 0.23/0.33 % Paramodulations : 9
% 0.23/0.33 % Factorizations : 0
% 0.23/0.33 % NegExts : 0
% 0.23/0.33 % Equation resolutions : 0
% 0.23/0.33 % Disequality decompositions : 0
% 0.23/0.33 % Total rewrite steps : 2
% 0.23/0.33 % ...of those cached : 1
% 0.23/0.33 % Propositional unsat checks : 0
% 0.23/0.33 % Propositional check models : 0
% 0.23/0.33 % Propositional check unsatisfiable : 0
% 0.23/0.33 % Propositional clauses : 0
% 0.23/0.33 % Propositional clauses after purity: 0
% 0.23/0.33 % Propositional unsat core size : 0
% 0.23/0.33 % Propositional preprocessing time : 0.000
% 0.23/0.33 % Propositional encoding time : 0.000
% 0.23/0.33 % Propositional solver time : 0.000
% 0.23/0.33 % Success case prop preproc time : 0.000
% 0.23/0.33 % Success case prop encoding time : 0.000
% 0.23/0.33 % Success case prop solver time : 0.000
% 0.23/0.33 % Current number of processed clauses : 12
% 0.23/0.33 % Positive orientable unit clauses : 2
% 0.23/0.33 % Positive unorientable unit clauses: 0
% 0.23/0.33 % Negative unit clauses : 3
% 0.23/0.33 % Non-unit-clauses : 7
% 0.23/0.33 % Current number of unprocessed clauses: 1
% 0.23/0.33 % ...number of literals in the above : 5
% 0.23/0.33 % Current number of archived formulas : 0
% 0.23/0.33 % Current number of archived clauses : 0
% 0.23/0.33 % Clause-clause subsumption calls (NU) : 7
% 0.23/0.33 % Rec. Clause-clause subsumption calls : 7
% 0.23/0.33 % Non-unit clause-clause subsumptions : 0
% 0.23/0.33 % Unit Clause-clause subsumption calls : 1
% 0.23/0.33 % Rewrite failures with RHS unbound : 0
% 0.23/0.33 % BW rewrite match attempts : 0
% 0.23/0.33 % BW rewrite match successes : 0
% 0.23/0.33 % Condensation attempts : 0
% 0.23/0.33 % Condensation successes : 0
% 0.23/0.33 % Termbank termtop insertions : 919
% 0.23/0.33 % Search garbage collected termcells : 305
% 0.23/0.33
% 0.23/0.33 % -------------------------------------------------
% 0.23/0.33 % User time : 0.004 s
% 0.23/0.33 % System time : 0.002 s
% 0.23/0.33 % Total time : 0.006 s
% 0.23/0.33 % Maximum resident set size: 3892 pages
% 0.23/0.33
% 0.23/0.33 % -------------------------------------------------
% 0.23/0.33 % User time : 0.010 s
% 0.23/0.33 % System time : 0.012 s
% 0.23/0.33 % Total time : 0.022 s
% 0.23/0.33 % Maximum resident set size: 4864 pages
% 0.23/0.33 % E exiting
%------------------------------------------------------------------------------