%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV382^5 : 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 : n001.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 08:35:26 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 129 ( 22 ~; 15 |; 8 &; 74 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 5 ^; 33 !; 4 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > a > $o ).
thf(decl_24,type,
epred2_0: a > $o ).
thf(decl_25,type,
esk1_1: ( a > $o ) > a ).
thf(decl_26,type,
esk2_1: a > a ).
thf(decl_27,type,
esk3_0: a ).
thf(cTRANS_IND,conjecture,
! [X1: a > a > $o,X2: a > $o] :
( ( ! [X3: a > $o] :
( ? [X4: a] : ( X3 @ X4 )
=> ? [X5: a] :
( ( X3 @ X5 )
& ! [X6: a] :
( ( X1 @ X6 @ X5 )
=> ~ ( X3 @ X6 ) ) ) )
& ! [X7: a] :
( ! [X5: a] :
( ( X1 @ X5 @ X7 )
=> ( X2 @ X5 ) )
=> ( X2 @ X7 ) ) )
=> ! [X7: a] : ( X2 @ X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.YiYOoVr4MT/E---3.1_1404222.p',cTRANS_IND) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o,X2: a > $o] :
( ( ! [X3: a > $o] :
( ? [X4: a] : ( X3 @ X4 )
=> ? [X5: a] :
( ( X3 @ X5 )
& ! [X6: a] :
( ( X1 @ X6 @ X5 )
=> ~ ( X3 @ X6 ) ) ) )
& ! [X7: a] :
( ! [X5: a] :
( ( X1 @ X5 @ X7 )
=> ( X2 @ X5 ) )
=> ( X2 @ X7 ) ) )
=> ! [X7: a] : ( X2 @ X7 ) ),
inference(assume_negation,[status(cth)],[cTRANS_IND]) ).
thf(c_0_2,negated_conjecture,
! [X19: a > $o,X20: a,X22: a,X23: a] :
( ( ( X19 @ ( esk1_1 @ X19 ) )
| ~ ( X19 @ X20 ) )
& ( ~ ( epred1_0 @ X22 @ ( esk1_1 @ X19 ) )
| ~ ( X19 @ X22 )
| ~ ( X19 @ X20 ) )
& ( ( epred1_0 @ ( esk2_1 @ X23 ) @ X23 )
| ( epred2_0 @ X23 ) )
& ( ~ ( epred2_0 @ ( esk2_1 @ X23 ) )
| ( epred2_0 @ X23 ) )
& ~ ( epred2_0 @ esk3_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,
! [X2: a > $o,X4: a,X5: a] :
( ~ ( epred1_0 @ X4 @ ( esk1_1 @ X2 ) )
| ~ ( X2 @ X4 )
| ~ ( X2 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X5: a,X4: a,X2: a > $o] :
( ( X2 @ X4 )
| ( X2 @ X5 )
| ~ ( epred1_0 @ X4
@ ( esk1_1
@ ^ [Z0: a] :
~ ( X2 @ Z0 ) ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ ( esk2_1 @ X4 ) @ X4 )
| ( epred2_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X2: a > $o,X4: a] :
( ( X2 @ ( esk1_1 @ X2 ) )
| ~ ( X2 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ~ ( epred2_0 @ ( esk2_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X2: a > $o,X4: a] :
( ( X2
@ ( esk2_1
@ ( esk1_1
@ ^ [Z0: a] :
~ ( X2 @ Z0 ) ) ) )
| ( epred2_0
@ ( esk1_1
@ ^ [Z0: a] :
~ ( X2 @ Z0 ) ) )
| ( X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X4: a,X2: a > $o] :
( ( X2 @ X4 )
| ~ ( X2
@ ( esk1_1
@ ^ [Z0: a] :
~ ( X2 @ Z0 ) ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_6]) ).
thf(c_0_10,negated_conjecture,
( epred2_0
@ ( esk1_1
@ ^ [Z0: a] :
~ ( epred2_0 @ Z0 ) ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8])]) ).
thf(c_0_11,negated_conjecture,
~ ( epred2_0 @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
! [X4: a] : ( epred2_0 @ X4 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV382^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.15 % Computer : n001.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Tue Sep 29 15:49:35 UTC 2026
% 0.09/0.15 % CPUTime :
% 0.09/0.15 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.21 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.YiYOoVr4MT/E---3.1_1404222.p
% 0.09/0.25 % Version: 3.5.1-ho
% 0.09/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.09/0.25 % Starting post_as_ho2 with 300s (1) cores
% 0.09/0.25 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.09/0.25 % Starting full_lambda_10 with 300s (1) cores
% 0.09/0.25 % Starting new_ho_8 with 300s (1) cores
% 0.09/0.25 % post_as_ho4 with pid 1404256 completed with status 0
% 0.09/0.25 % Result found by post_as_ho4
% 0.09/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.09/0.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.25 % No SInE strategy applied
% 0.09/0.25 % Search class: HGHNF-FFSF11-SSSFFSBC
% 0.09/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.25 % SubtermCWHack with pid 1404261 completed with status 10
% 0.09/0.25 % Starting post_as_ho4 with 31s (1) cores
% 0.09/0.25 % post_as_ho4 with pid 1404267 completed with status 0
% 0.09/0.25 % Result found by post_as_ho4
% 0.09/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.09/0.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.25 % No SInE strategy applied
% 0.09/0.25 % Search class: HGHNF-FFSF11-SSSFFSBC
% 0.09/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.25 % SubtermCWHack with pid 1404261 completed with status 10
% 0.09/0.25 % Starting post_as_ho4 with 31s (1) cores
% 0.09/0.25 % Preprocessing time : 0.001 s
% 0.09/0.25 % Presaturation interreduction done
% 0.09/0.25
% 0.09/0.25 % Proof found!
% 0.09/0.25 % SZS status Theorem
% 0.09/0.25 % SZS output start CNFRefutation
% See solution above
% 0.09/0.25 % Parsed axioms : 2
% 0.09/0.25 % Removed by relevancy pruning/SinE : 0
% 0.09/0.25 % Initial clauses : 6
% 0.09/0.25 % Removed in clause preprocessing : 1
% 0.09/0.25 % Initial clauses in saturation : 5
% 0.09/0.25 % Processed clauses : 80
% 0.09/0.25 % ...of these trivial : 8
% 0.09/0.25 % ...subsumed : 29
% 0.09/0.25 % ...remaining for further processing : 43
% 0.09/0.25 % Other redundant clauses eliminated : 0
% 0.09/0.25 % Clauses deleted for lack of memory : 0
% 0.09/0.25 % Backward-subsumed : 2
% 0.09/0.25 % Backward-rewritten : 25
% 0.09/0.25 % Generated clauses : 216
% 0.09/0.25 % ...of the previous two non-redundant : 195
% 0.09/0.25 % ...aggressively subsumed : 0
% 0.09/0.25 % Contextual simplify-reflections : 0
% 0.09/0.25 % Paramodulations : 203
% 0.09/0.25 % Factorizations : 2
% 0.09/0.25 % NegExts : 0
% 0.09/0.25 % Equation resolutions : 3
% 0.09/0.25 % Disequality decompositions : 0
% 0.09/0.25 % Total rewrite steps : 54
% 0.09/0.25 % ...of those cached : 32
% 0.09/0.25 % Propositional unsat checks : 0
% 0.09/0.25 % Propositional check models : 0
% 0.09/0.25 % Propositional check unsatisfiable : 0
% 0.09/0.25 % Propositional clauses : 0
% 0.09/0.25 % Propositional clauses after purity: 0
% 0.09/0.25 % Propositional unsat core size : 0
% 0.09/0.25 % Propositional preprocessing time : 0.000
% 0.09/0.25 % Propositional encoding time : 0.000
% 0.09/0.25 % Propositional solver time : 0.000
% 0.09/0.25 % Success case prop preproc time : 0.000
% 0.09/0.25 % Success case prop encoding time : 0.000
% 0.09/0.25 % Success case prop solver time : 0.000
% 0.09/0.25 % Current number of processed clauses : 11
% 0.09/0.25 % Positive orientable unit clauses : 1
% 0.09/0.25 % Positive unorientable unit clauses: 2
% 0.09/0.25 % Negative unit clauses : 1
% 0.09/0.25 % Non-unit-clauses : 7
% 0.09/0.25 % Current number of unprocessed clauses: 112
% 0.09/0.25 % ...number of literals in the above : 314
% 0.09/0.25 % Current number of archived formulas : 0
% 0.09/0.25 % Current number of archived clauses : 32
% 0.09/0.25 % Clause-clause subsumption calls (NU) : 161
% 0.09/0.25 % Rec. Clause-clause subsumption calls : 146
% 0.09/0.25 % Non-unit clause-clause subsumptions : 28
% 0.09/0.25 % Unit Clause-clause subsumption calls : 19
% 0.09/0.25 % Rewrite failures with RHS unbound : 0
% 0.09/0.25 % BW rewrite match attempts : 131
% 0.09/0.25 % BW rewrite match successes : 50
% 0.09/0.25 % Condensation attempts : 80
% 0.09/0.25 % Condensation successes : 4
% 0.09/0.25 % Termbank termtop insertions : 18983
% 0.09/0.25 % Search garbage collected termcells : 234
% 0.09/0.25
% 0.09/0.25 % -------------------------------------------------
% 0.09/0.25 % User time : 0.010 s
% 0.09/0.25 % System time : 0.002 s
% 0.09/0.25 % Total time : 0.012 s
% 0.09/0.25 % Maximum resident set size: 3636 pages
% 0.09/0.25
% 0.09/0.25 % -------------------------------------------------
% 0.09/0.25 % User time : 0.012 s
% 0.09/0.25 % System time : 0.006 s
% 0.09/0.25 % Total time : 0.018 s
% 0.09/0.25 % Maximum resident set size: 4864 pages
% 0.09/0.25 % E exiting
%------------------------------------------------------------------------------