%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV060^5 : 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 : 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 08:34:48 AM UTC 2026
% Result : Theorem 0.28s 0.26s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 10 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 88 ( 12 ~; 10 |; 8 &; 52 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_23,type,
esk1_0: b ).
thf(decl_24,type,
esk2_0: a ).
thf(decl_25,type,
epred1_0: b > a > $o ).
thf(decl_26,type,
epred2_0: b > a > $o ).
thf(decl_27,type,
esk3_0: b ).
thf(decl_28,type,
esk4_0: a ).
thf(cTHM173_pme,conjecture,
! [X1: b,X2: a,X3: b > a > $o,X4: b > a > $o] :
( ( ! [X5: b,X6: a] :
( ( X4 @ X5 @ X6 )
=> ( ( X3 @ X5 @ X6 )
| ( ( X5 = X1 )
& ( X6 = X2 ) ) ) )
& ~ ( X4 @ X1 @ X2 ) )
=> ! [X7: b,X8: a] :
( ( X4 @ X7 @ X8 )
=> ( X3 @ X7 @ X8 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.s7yQ1KRgWR/E---3.1_3278281.p',cTHM173_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: b,X2: a,X3: b > a > $o,X4: b > a > $o] :
( ( ! [X5: b,X6: a] :
( ( X4 @ X5 @ X6 )
=> ( ( X3 @ X5 @ X6 )
| ( ( X5 = X1 )
& ( X6 = X2 ) ) ) )
& ~ ( X4 @ X1 @ X2 ) )
=> ! [X7: b,X8: a] :
( ( X4 @ X7 @ X8 )
=> ( X3 @ X7 @ X8 ) ) ),
inference(assume_negation,[status(cth)],[cTHM173_pme]) ).
thf(c_0_2,negated_conjecture,
! [X21: b,X22: a] :
( ( ( X21 = esk1_0 )
| ( epred1_0 @ X21 @ X22 )
| ~ ( epred2_0 @ X21 @ X22 ) )
& ( ( X22 = esk2_0 )
| ( epred1_0 @ X21 @ X22 )
| ~ ( epred2_0 @ X21 @ X22 ) )
& ~ ( epred2_0 @ esk1_0 @ esk2_0 )
& ( epred2_0 @ esk3_0 @ esk4_0 )
& ~ ( epred1_0 @ esk3_0 @ esk4_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,
~ ( epred1_0 @ esk3_0 @ esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: b,X2: a] :
( ( X1 = esk1_0 )
| ( epred1_0 @ X1 @ X2 )
| ~ ( epred2_0 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
epred2_0 @ esk3_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
esk3_0 = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]) ).
thf(c_0_7,negated_conjecture,
~ ( epred1_0 @ esk1_0 @ esk4_0 ),
inference(rw,[status(thm)],[c_0_3,c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X1: b,X2: a] :
( ( X2 = esk2_0 )
| ( epred1_0 @ X1 @ X2 )
| ~ ( epred2_0 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
epred2_0 @ esk1_0 @ esk4_0,
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_10,negated_conjecture,
~ ( epred2_0 @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
esk2_0 = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV060^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 15:06:39 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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.s7yQ1KRgWR/E---3.1_3278281.p
% 0.28/0.26 % Version: 3.5.1-ho
% 0.28/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.28/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.28/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.28/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.28/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.28/0.26 % Starting post_as_ho2 with 300s (1) cores
% 0.28/0.26 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.28/0.26 % Starting full_lambda_10 with 300s (1) cores
% 0.28/0.26 % Starting new_ho_8 with 300s (1) cores
% 0.28/0.26 % post_as_ho1 with pid 3278324 completed with status 0
% 0.28/0.26 % Result found by post_as_ho1
% 0.28/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.28/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.28/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.28/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.28/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.26 % No SInE strategy applied
% 0.28/0.26 % Search class: HGUSF-FFSF00-SSSFFFNN
% 0.28/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.28/0.26 % SubtermCWHack with pid 3278330 completed with status 0
% 0.28/0.26 % Result found by SubtermCWHack
% 0.28/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.28/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.28/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.28/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.28/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.26 % No SInE strategy applied
% 0.28/0.26 % Search class: HGUSF-FFSF00-SSSFFFNN
% 0.28/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.28/0.26 % Preprocessing time : 0.001 s
% 0.28/0.26
% 0.28/0.26 % Proof found!
% 0.28/0.26 % SZS status Theorem
% 0.28/0.26 % SZS output start CNFRefutation
% See solution above
% 0.28/0.26 % Parsed axioms : 3
% 0.28/0.26 % Removed by relevancy pruning/SinE : 0
% 0.28/0.26 % Initial clauses : 7
% 0.28/0.26 % Removed in clause preprocessing : 2
% 0.28/0.26 % Initial clauses in saturation : 5
% 0.28/0.26 % Processed clauses : 9
% 0.28/0.26 % ...of these trivial : 0
% 0.28/0.26 % ...subsumed : 0
% 0.28/0.26 % ...remaining for further processing : 9
% 0.28/0.26 % Other redundant clauses eliminated : 0
% 0.28/0.26 % Clauses deleted for lack of memory : 0
% 0.28/0.26 % Backward-subsumed : 0
% 0.28/0.26 % Backward-rewritten : 4
% 0.28/0.26 % Generated clauses : 2
% 0.28/0.26 % ...of the previous two non-redundant : 5
% 0.28/0.26 % ...aggressively subsumed : 0
% 0.28/0.26 % Contextual simplify-reflections : 0
% 0.28/0.26 % Paramodulations : 2
% 0.28/0.26 % Factorizations : 0
% 0.28/0.26 % NegExts : 0
% 0.28/0.26 % Equation resolutions : 0
% 0.28/0.26 % Disequality decompositions : 0
% 0.28/0.26 % Total rewrite steps : 7
% 0.28/0.26 % ...of those cached : 3
% 0.28/0.26 % Propositional unsat checks : 0
% 0.28/0.26 % Propositional check models : 0
% 0.28/0.26 % Propositional check unsatisfiable : 0
% 0.28/0.26 % Propositional clauses : 0
% 0.28/0.26 % Propositional clauses after purity: 0
% 0.28/0.26 % Propositional unsat core size : 0
% 0.28/0.26 % Propositional preprocessing time : 0.000
% 0.28/0.26 % Propositional encoding time : 0.000
% 0.28/0.26 % Propositional solver time : 0.000
% 0.28/0.26 % Success case prop preproc time : 0.000
% 0.28/0.26 % Success case prop encoding time : 0.000
% 0.28/0.26 % Success case prop solver time : 0.000
% 0.28/0.26 % Current number of processed clauses : 5
% 0.28/0.26 % Positive orientable unit clauses : 3
% 0.28/0.26 % Positive unorientable unit clauses: 0
% 0.28/0.26 % Negative unit clauses : 1
% 0.28/0.26 % Non-unit-clauses : 1
% 0.28/0.26 % Current number of unprocessed clauses: 0
% 0.28/0.26 % ...number of literals in the above : 0
% 0.28/0.26 % Current number of archived formulas : 0
% 0.28/0.26 % Current number of archived clauses : 4
% 0.28/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.28/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.28/0.26 % Non-unit clause-clause subsumptions : 0
% 0.28/0.26 % Unit Clause-clause subsumption calls : 0
% 0.28/0.26 % Rewrite failures with RHS unbound : 0
% 0.28/0.26 % BW rewrite match attempts : 2
% 0.28/0.26 % BW rewrite match successes : 2
% 0.28/0.26 % Condensation attempts : 0
% 0.28/0.26 % Condensation successes : 0
% 0.28/0.26 % Termbank termtop insertions : 466
% 0.28/0.26 % Search garbage collected termcells : 176
% 0.28/0.26
% 0.28/0.26 % -------------------------------------------------
% 0.28/0.26 % User time : 0.002 s
% 0.28/0.26 % System time : 0.001 s
% 0.28/0.26 % Total time : 0.003 s
% 0.28/0.26 % Maximum resident set size: 3636 pages
% 0.28/0.26
% 0.28/0.26 % -------------------------------------------------
% 0.28/0.26 % User time : 0.004 s
% 0.28/0.26 % System time : 0.006 s
% 0.28/0.26 % Total time : 0.011 s
% 0.28/0.26 % Maximum resident set size: 4864 pages
% 0.28/0.26 % E exiting
%------------------------------------------------------------------------------