%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV162^5 : 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 : 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 08:35:07 AM UTC 2026
% Result : Theorem 0.22s 0.27s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 7 ~; 5 |; 1 &; 52 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 32 ^; 23 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > a > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(decl_25,type,
esk2_0: a ).
thf(decl_26,type,
esk3_0: ( a > a > a ) > a ).
thf(cTHM184_pme,conjecture,
! [X1: a > a > $o] :
( ! [X2: a,X3: a] : ( X1 @ X2 @ X3 )
<=> ! [X4: ( a > a > a ) > a] :
( X1
@ ( X4
@ ^ [X2: a,X3: a] : X2 )
@ ( X4
@ ^ [X2: a,X3: a] : X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.djec5ADxgD/E---3.1_1786400.p',cTHM184_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o] :
( ! [X2: a,X3: a] : ( X1 @ X2 @ X3 )
<=> ! [X4: ( a > a > a ) > a] :
( X1
@ ( X4
@ ^ [X2: a,X3: a] : X2 )
@ ( X4
@ ^ [X2: a,X3: a] : X3 ) ) ),
inference(assume_negation,[status(cth)],[cTHM184_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > a > $o] :
( ! [X2: a,X3: a] : ( X1 @ X2 @ X3 )
<=> ! [X4: ( a > a > a ) > a] :
( X1
@ ( X4
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( X4
@ ^ [Z0: a,Z1: a] : Z1 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X13: a,X14: a,X15: ( a > a > a ) > a] :
( ( ~ ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0
@ ( esk3_0
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( esk3_0
@ ^ [Z0: a,Z1: a] : Z1 ) ) )
& ( ( epred1_0 @ X13 @ X14 )
| ( epred1_0
@ ( X15
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( X15
@ ^ [Z0: a,Z1: a] : Z1 ) ) ) ),
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_2])])])])]) ).
thf(c_0_4,negated_conjecture,
( ~ ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0
@ ( esk3_0
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( esk3_0
@ ^ [Z0: a,Z1: a] : Z1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X3: a,X2: a,X4: ( a > a > a ) > a] :
( ( epred1_0 @ X2 @ X3 )
| ( epred1_0
@ ( X4
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( X4
@ ^ [Z0: a,Z1: a] : Z1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X2: a,X3: a] :
( ( epred1_0 @ X2 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X4: ( a > a > a ) > a] :
( epred1_0
@ ( X4
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( X4
@ ^ [Z0: a,Z1: a] : Z1 ) ),
inference(ef,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X2: a,X3: a] : ( epred1_0 @ X2 @ X3 ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_7])]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV162^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:17:46 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
% 0.08/0.25 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.djec5ADxgD/E---3.1_1786400.p
% 0.22/0.27 % Version: 3.5.1-ho
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting post_as_ho5 with 1500s (5) cores
% 0.22/0.27 % Starting sh2lt with 300s (1) cores
% 0.22/0.27 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.22/0.27 % Starting post_as_ho10 with 300s (1) cores
% 0.22/0.27 % post_as_ho5 with pid 1786413 completed with status 0
% 0.22/0.27 % Result found by post_as_ho5
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting post_as_ho5 with 1500s (5) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 0.22/0.27 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.22/0.27 % Search class: HGHNF-FFSF00-MHHFFFNN
% 0.22/0.27 % partial match(1): HGHNF-FFSF00-SHHFFFNN
% 0.22/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.27 % Starting post_as_ho5 with 151s (1) cores
% 0.22/0.27 % Starting sh5l with 136s (1) cores
% 0.22/0.27 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.27 % Starting new_bool_2 with 136s (1) cores
% 0.22/0.27 % SubtermCWHack with pid 1786417 completed with status 10
% 0.22/0.27 % Starting new_bool_9 with 136s (1) cores
% 0.22/0.27 % sh5l with pid 1786420 completed with status 10
% 0.22/0.27 % Starting new_ho_10 with 669s (1) cores
% 0.22/0.27 % post_as_ho5 with pid 1786419 completed with status 0
% 0.22/0.27 % Result found by post_as_ho5
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting post_as_ho5 with 1500s (5) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 0.22/0.27 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.22/0.27 % Search class: HGHNF-FFSF00-MHHFFFNN
% 0.22/0.27 % partial match(1): HGHNF-FFSF00-SHHFFFNN
% 0.22/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.27 % Starting post_as_ho5 with 151s (1) cores
% 0.22/0.27 % Preprocessing time : 0.001 s
% 0.22/0.27 % Presaturation interreduction done
% 0.22/0.27
% 0.22/0.27 % Proof found!
% 0.22/0.27 % SZS status Theorem
% 0.22/0.27 % SZS output start CNFRefutation
% See solution above
% 0.22/0.27 % Parsed axioms : 2
% 0.22/0.27 % Removed by relevancy pruning/SinE : 1
% 0.22/0.27 % Initial clauses : 2
% 0.22/0.27 % Removed in clause preprocessing : 0
% 0.22/0.27 % Initial clauses in saturation : 2
% 0.22/0.27 % Processed clauses : 8
% 0.22/0.27 % ...of these trivial : 0
% 0.22/0.27 % ...subsumed : 0
% 0.22/0.27 % ...remaining for further processing : 7
% 0.22/0.27 % Other redundant clauses eliminated : 0
% 0.22/0.27 % Clauses deleted for lack of memory : 0
% 0.22/0.27 % Backward-subsumed : 1
% 0.22/0.27 % Backward-rewritten : 3
% 0.22/0.27 % Generated clauses : 8
% 0.22/0.27 % ...of the previous two non-redundant : 9
% 0.22/0.27 % ...aggressively subsumed : 0
% 0.22/0.27 % Contextual simplify-reflections : 0
% 0.22/0.27 % Paramodulations : 6
% 0.22/0.27 % Factorizations : 2
% 0.22/0.27 % NegExts : 0
% 0.22/0.27 % Equation resolutions : 0
% 0.22/0.27 % Disequality decompositions : 0
% 0.22/0.27 % Total rewrite steps : 5
% 0.22/0.27 % ...of those cached : 0
% 0.22/0.27 % Propositional unsat checks : 0
% 0.22/0.27 % Propositional check models : 0
% 0.22/0.27 % Propositional check unsatisfiable : 0
% 0.22/0.27 % Propositional clauses : 0
% 0.22/0.27 % Propositional clauses after purity: 0
% 0.22/0.27 % Propositional unsat core size : 0
% 0.22/0.27 % Propositional preprocessing time : 0.000
% 0.22/0.27 % Propositional encoding time : 0.000
% 0.22/0.27 % Propositional solver time : 0.000
% 0.22/0.27 % Success case prop preproc time : 0.000
% 0.22/0.27 % Success case prop encoding time : 0.000
% 0.22/0.27 % Success case prop solver time : 0.000
% 0.22/0.27 % Current number of processed clauses : 1
% 0.22/0.27 % Positive orientable unit clauses : 1
% 0.22/0.27 % Positive unorientable unit clauses: 0
% 0.22/0.27 % Negative unit clauses : 0
% 0.22/0.27 % Non-unit-clauses : 0
% 0.22/0.27 % Current number of unprocessed clauses: 5
% 0.22/0.27 % ...number of literals in the above : 9
% 0.22/0.27 % Current number of archived formulas : 0
% 0.22/0.27 % Current number of archived clauses : 6
% 0.22/0.27 % Clause-clause subsumption calls (NU) : 0
% 0.22/0.27 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.27 % Non-unit clause-clause subsumptions : 0
% 0.22/0.27 % Unit Clause-clause subsumption calls : 1
% 0.22/0.27 % Rewrite failures with RHS unbound : 0
% 0.22/0.27 % BW rewrite match attempts : 7
% 0.22/0.27 % BW rewrite match successes : 5
% 0.22/0.27 % Condensation attempts : 0
% 0.22/0.27 % Condensation successes : 0
% 0.22/0.27 % Termbank termtop insertions : 662
% 0.22/0.27 % Search garbage collected termcells : 105
% 0.22/0.27
% 0.22/0.27 % -------------------------------------------------
% 0.22/0.27 % User time : 0.005 s
% 0.22/0.27 % System time : 0.005 s
% 0.22/0.27 % Total time : 0.010 s
% 0.22/0.27 % Maximum resident set size: 3888 pages
% 0.22/0.27
% 0.22/0.27 % -------------------------------------------------
% 0.22/0.27 % User time : 0.011 s
% 0.22/0.27 % System time : 0.011 s
% 0.22/0.27 % Total time : 0.022 s
% 0.22/0.27 % Maximum resident set size: 4864 pages
% 0.22/0.27 % E exiting
%------------------------------------------------------------------------------