%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU920^5 : 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 : n012.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 08:25:56 AM UTC 2026
% Result : Theorem 0.08s 0.13s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 3 ~; 0 |; 1 &; 14 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 12 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_sort3,type,
c: $tType ).
thf(decl_23,type,
esk1_0: a > b ).
thf(decl_24,type,
esk2_0: b > c ).
thf(decl_25,type,
esk3_1: c > a ).
thf(decl_26,type,
esk4_0: c ).
thf(cFN_THM_4_pme,conjecture,
! [X1: a > b,X2: b > c] :
( ! [X3: c] :
? [X4: a] :
( ( X2 @ ( X1 @ X4 ) )
= X3 )
=> ! [X3: c] :
? [X5: b] :
( ( X2 @ X5 )
= X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.2oPnU56R16/E---3.1_202467.p',cFN_THM_4_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > b,X2: b > c] :
( ! [X3: c] :
? [X4: a] :
( ( X2 @ ( X1 @ X4 ) )
= X3 )
=> ! [X3: c] :
? [X5: b] :
( ( X2 @ X5 )
= X3 ) ),
inference(assume_negation,[status(cth)],[cFN_THM_4_pme]) ).
thf(c_0_2,negated_conjecture,
! [X14: c,X17: b] :
( ( ( esk2_0 @ ( esk1_0 @ ( esk3_1 @ X14 ) ) )
= X14 )
& ( ( esk2_0 @ X17 )
!= esk4_0 ) ),
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] :
( ( esk2_0 @ X5 )
!= esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: c] :
( ( esk2_0 @ ( esk1_0 @ ( esk3_1 @ X3 ) ) )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU920^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.09 % Computer : n012.cluster.edu
% 0.00/0.09 % Model : x86_64 x86_64
% 0.00/0.09 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.09 % Memory : 8046.5625MB
% 0.00/0.09 % OS : Linux 6.8.0-71-generic
% 0.00/0.09 % CPULimit : 300
% 0.00/0.09 % WCLimit : 300
% 0.00/0.09 % DateTime : Tue Sep 29 14:45:48 UTC 2026
% 0.00/0.09 % CPUTime :
% 0.00/0.09 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.12 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.2oPnU56R16/E---3.1_202467.p
% 0.08/0.13 % Version: 3.5.1-ho
% 0.08/0.13 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.08/0.13 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.13 % Starting post_as_ho12 with 300s (1) cores
% 0.08/0.13 % Starting new_bool_9 with 300s (1) cores
% 0.08/0.13 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.13 % Starting post_as_ho4 with 300s (1) cores
% 0.08/0.13 % Starting post_as_ho2 with 300s (1) cores
% 0.08/0.13 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.08/0.13 % Starting full_lambda_10 with 300s (1) cores
% 0.08/0.13 % Starting new_ho_8 with 300s (1) cores
% 0.08/0.13 % post_as_ho12 with pid 202480 completed with status 0
% 0.08/0.13 % Result found by post_as_ho12
% 0.08/0.13 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.08/0.13 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.13 % Starting post_as_ho12 with 300s (1) cores
% 0.08/0.13 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.13 % No SInE strategy applied
% 0.08/0.13 % Search class: HUUPF-FFSF11-MSSFFFNN
% 0.08/0.13 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.13 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.13 % SubtermCWHack with pid 202489 completed with status 0
% 0.08/0.13 % Result found by SubtermCWHack
% 0.08/0.13 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.08/0.13 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.13 % Starting post_as_ho12 with 300s (1) cores
% 0.08/0.13 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.13 % No SInE strategy applied
% 0.08/0.13 % Search class: HUUPF-FFSF11-MSSFFFNN
% 0.08/0.13 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.13 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.13 % Preprocessing time : 0.001 s
% 0.08/0.13
% 0.08/0.13 % Proof found!
% 0.08/0.13 % SZS status Theorem
% 0.08/0.13 % SZS output start CNFRefutation
% See solution above
% 0.08/0.13 % Parsed axioms : 4
% 0.08/0.13 % Removed by relevancy pruning/SinE : 0
% 0.08/0.13 % Initial clauses : 5
% 0.08/0.13 % Removed in clause preprocessing : 3
% 0.08/0.13 % Initial clauses in saturation : 2
% 0.08/0.13 % Processed clauses : 2
% 0.08/0.13 % ...of these trivial : 0
% 0.08/0.13 % ...subsumed : 0
% 0.08/0.13 % ...remaining for further processing : 2
% 0.08/0.13 % Other redundant clauses eliminated : 1
% 0.08/0.13 % Clauses deleted for lack of memory : 0
% 0.08/0.13 % Backward-subsumed : 0
% 0.08/0.13 % Backward-rewritten : 0
% 0.08/0.13 % Generated clauses : 2
% 0.08/0.13 % ...of the previous two non-redundant : 0
% 0.08/0.13 % ...aggressively subsumed : 0
% 0.08/0.13 % Contextual simplify-reflections : 0
% 0.08/0.13 % Paramodulations : 1
% 0.08/0.13 % Factorizations : 0
% 0.08/0.13 % NegExts : 0
% 0.08/0.13 % Equation resolutions : 1
% 0.08/0.13 % Disequality decompositions : 0
% 0.08/0.13 % Total rewrite steps : 0
% 0.08/0.13 % ...of those cached : 0
% 0.08/0.13 % Propositional unsat checks : 0
% 0.08/0.13 % Propositional check models : 0
% 0.08/0.13 % Propositional check unsatisfiable : 0
% 0.08/0.13 % Propositional clauses : 0
% 0.08/0.13 % Propositional clauses after purity: 0
% 0.08/0.13 % Propositional unsat core size : 0
% 0.08/0.13 % Propositional preprocessing time : 0.000
% 0.08/0.13 % Propositional encoding time : 0.000
% 0.08/0.13 % Propositional solver time : 0.000
% 0.08/0.13 % Success case prop preproc time : 0.000
% 0.08/0.13 % Success case prop encoding time : 0.000
% 0.08/0.13 % Success case prop solver time : 0.000
% 0.08/0.13 % Current number of processed clauses : 2
% 0.08/0.13 % Positive orientable unit clauses : 1
% 0.08/0.13 % Positive unorientable unit clauses: 0
% 0.08/0.13 % Negative unit clauses : 1
% 0.08/0.13 % Non-unit-clauses : 0
% 0.08/0.13 % Current number of unprocessed clauses: 0
% 0.08/0.13 % ...number of literals in the above : 0
% 0.08/0.13 % Current number of archived formulas : 0
% 0.08/0.13 % Current number of archived clauses : 0
% 0.08/0.13 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.13 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.13 % Non-unit clause-clause subsumptions : 0
% 0.08/0.13 % Unit Clause-clause subsumption calls : 0
% 0.08/0.13 % Rewrite failures with RHS unbound : 0
% 0.08/0.13 % BW rewrite match attempts : 0
% 0.08/0.13 % BW rewrite match successes : 0
% 0.08/0.13 % Condensation attempts : 0
% 0.08/0.13 % Condensation successes : 0
% 0.08/0.13 % Termbank termtop insertions : 188
% 0.08/0.13 % Search garbage collected termcells : 72
% 0.08/0.13
% 0.08/0.13 % -------------------------------------------------
% 0.08/0.13 % User time : 0.002 s
% 0.08/0.13 % System time : 0.001 s
% 0.08/0.13 % Total time : 0.002 s
% 0.08/0.13 % Maximum resident set size: 3636 pages
% 0.08/0.13
% 0.08/0.13 % -------------------------------------------------
% 0.08/0.13 % User time : 0.002 s
% 0.08/0.13 % System time : 0.004 s
% 0.08/0.13 % Total time : 0.006 s
% 0.08/0.13 % Maximum resident set size: 4864 pages
% 0.08/0.13 % E exiting
%------------------------------------------------------------------------------