%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO219^5 : 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 : n026.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 08:44:01 AM UTC 2026
% Result : Theorem 0.29s 0.26s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 37 ( 11 ~; 0 |; 1 &; 22 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 21 ( 1 ^; 14 !; 6 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cS: $i > $i ).
thf(decl_24,type,
esk1_0: $i > $i > $i ).
thf(decl_25,type,
esk2_1: ( $i > $i ) > $i ).
thf(cTHM6,conjecture,
( ! [X1: $i] :
( ( cS @ X1 )
!= X1 )
=> ~ ? [X2: $i > $i > $i] :
! [X3: $i > $i] :
? [X4: $i] :
( ( X2 @ X4 )
= X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.Wxq6aOVlBy/E---3.1_843971.p',cTHM6) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: $i] :
( ( cS @ X1 )
!= X1 )
=> ~ ? [X2: $i > $i > $i] :
! [X3: $i > $i] :
? [X4: $i] :
( ( X2 @ X4 )
= X3 ) ),
inference(assume_negation,[status(cth)],[cTHM6]) ).
thf(c_0_2,negated_conjecture,
~ ( ! [X1: $i] :
( ( cS @ X1 )
!= X1 )
=> ~ ? [X2: $i > $i > $i] :
! [X3: $i > $i] :
? [X4: $i] :
( ( X2 @ X4 )
= X3 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X9: $i,X11: $i > $i] :
( ( ( cS @ X9 )
!= X9 )
& ( ( esk1_0 @ ( esk2_1 @ X11 ) )
= X11 ) ),
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,
! [X3: $i > $i] :
( ( esk1_0 @ ( esk2_1 @ X3 ) )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i] :
( ( cS @ X1 )
!= X1 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X3: $i > $i,X1: $i] :
( ( esk1_0 @ ( esk2_1 @ X3 ) @ X1 )
= ( X3 @ X1 ) ),
inference(arg_cong,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X3: $i > $i,X1: $i] :
( ( esk1_0
@ ( esk2_1
@ ^ [Z0: $i] : ( cS @ ( X3 @ Z0 ) ) )
@ X1 )
!= ( X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO219^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.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 16:42:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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.Wxq6aOVlBy/E---3.1_843971.p
% 0.29/0.26 % Version: 3.5.1-ho
% 0.29/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.29/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.29/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.29/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.29/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.29/0.26 % Starting post_as_ho2 with 300s (1) cores
% 0.29/0.26 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.29/0.26 % Starting full_lambda_10 with 300s (1) cores
% 0.29/0.26 % Starting new_ho_8 with 300s (1) cores
% 0.29/0.26 % post_as_ho4 with pid 843987 completed with status 0
% 0.29/0.26 % Result found by post_as_ho4
% 0.29/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.29/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.29/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.29/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.29/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.29/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.29/0.26 % No SInE strategy applied
% 0.29/0.26 % Search class: HUUPF-FFSF11-SSSFFFNN
% 0.29/0.26 % partial match(1): HUUPF-FFSF11-SSSFFMNN
% 0.29/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.29/0.26 % SubtermCWHack with pid 843992 completed with status 10
% 0.29/0.26 % Starting post_as_ho12 with 181s (1) cores
% 0.29/0.26 % post_as_ho12 with pid 843997 completed with status 0
% 0.29/0.26 % Result found by post_as_ho12
% 0.29/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.29/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.29/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.29/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.29/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.29/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.29/0.26 % No SInE strategy applied
% 0.29/0.26 % Search class: HUUPF-FFSF11-SSSFFFNN
% 0.29/0.26 % partial match(1): HUUPF-FFSF11-SSSFFMNN
% 0.29/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.29/0.26 % SubtermCWHack with pid 843992 completed with status 10
% 0.29/0.26 % Starting post_as_ho12 with 181s (1) cores
% 0.29/0.26 % Preprocessing time : 0.001 s
% 0.29/0.26 % Presaturation interreduction done
% 0.29/0.26
% 0.29/0.26 % Proof found!
% 0.29/0.26 % SZS status Theorem
% 0.29/0.26 % SZS output start CNFRefutation
% See solution above
% 0.29/0.26 % Parsed axioms : 2
% 0.29/0.26 % Removed by relevancy pruning/SinE : 0
% 0.29/0.26 % Initial clauses : 3
% 0.29/0.26 % Removed in clause preprocessing : 1
% 0.29/0.26 % Initial clauses in saturation : 2
% 0.29/0.26 % Processed clauses : 8
% 0.29/0.26 % ...of these trivial : 0
% 0.29/0.26 % ...subsumed : 1
% 0.29/0.26 % ...remaining for further processing : 7
% 0.29/0.26 % Other redundant clauses eliminated : 0
% 0.29/0.26 % Clauses deleted for lack of memory : 0
% 0.29/0.26 % Backward-subsumed : 0
% 0.29/0.26 % Backward-rewritten : 0
% 0.29/0.26 % Generated clauses : 39
% 0.29/0.26 % ...of the previous two non-redundant : 26
% 0.29/0.26 % ...aggressively subsumed : 0
% 0.29/0.26 % Contextual simplify-reflections : 0
% 0.29/0.26 % Paramodulations : 35
% 0.29/0.26 % Factorizations : 0
% 0.29/0.26 % NegExts : 0
% 0.29/0.26 % Equation resolutions : 1
% 0.29/0.26 % Disequality decompositions : 0
% 0.29/0.26 % Total rewrite steps : 1
% 0.29/0.26 % ...of those cached : 0
% 0.29/0.26 % Propositional unsat checks : 0
% 0.29/0.26 % Propositional check models : 0
% 0.29/0.26 % Propositional check unsatisfiable : 0
% 0.29/0.26 % Propositional clauses : 0
% 0.29/0.26 % Propositional clauses after purity: 0
% 0.29/0.26 % Propositional unsat core size : 0
% 0.29/0.26 % Propositional preprocessing time : 0.000
% 0.29/0.26 % Propositional encoding time : 0.000
% 0.29/0.26 % Propositional solver time : 0.000
% 0.29/0.26 % Success case prop preproc time : 0.000
% 0.29/0.26 % Success case prop encoding time : 0.000
% 0.29/0.26 % Success case prop solver time : 0.000
% 0.29/0.26 % Current number of processed clauses : 5
% 0.29/0.26 % Positive orientable unit clauses : 1
% 0.29/0.26 % Positive unorientable unit clauses: 2
% 0.29/0.26 % Negative unit clauses : 2
% 0.29/0.26 % Non-unit-clauses : 0
% 0.29/0.26 % Current number of unprocessed clauses: 22
% 0.29/0.26 % ...number of literals in the above : 22
% 0.29/0.26 % Current number of archived formulas : 0
% 0.29/0.26 % Current number of archived clauses : 2
% 0.29/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.29/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.29/0.26 % Non-unit clause-clause subsumptions : 0
% 0.29/0.26 % Unit Clause-clause subsumption calls : 2
% 0.29/0.26 % Rewrite failures with RHS unbound : 0
% 0.29/0.26 % BW rewrite match attempts : 9
% 0.29/0.26 % BW rewrite match successes : 2
% 0.29/0.26 % Condensation attempts : 0
% 0.29/0.26 % Condensation successes : 0
% 0.29/0.26 % Termbank termtop insertions : 3737
% 0.29/0.26 % Search garbage collected termcells : 64
% 0.29/0.26
% 0.29/0.26 % -------------------------------------------------
% 0.29/0.26 % User time : 0.003 s
% 0.29/0.26 % System time : 0.002 s
% 0.29/0.26 % Total time : 0.005 s
% 0.29/0.26 % Maximum resident set size: 3632 pages
% 0.29/0.26
% 0.29/0.26 % -------------------------------------------------
% 0.29/0.26 % User time : 0.004 s
% 0.29/0.26 % System time : 0.007 s
% 0.29/0.26 % Total time : 0.011 s
% 0.29/0.26 % Maximum resident set size: 4864 pages
% 0.29/0.26 % E exiting
%------------------------------------------------------------------------------