%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO361^5 : 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 : n011.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 08:42:49 AM UTC 2026
% Result : Theorem 0.11s 0.25s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 11 ~; 10 |; 2 &; 60 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 8 ^; 15 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
esk1_0: $i ).
thf(decl_24,type,
esk2_0: $i ).
thf(decl_25,type,
epred1_0: $i > $i > $o ).
thf(decl_26,type,
esk3_1: ( $i > $i > $o ) > $i ).
thf(cTHM47,conjecture,
! [X1: $i,X2: $i] :
( ( X1 = X2 )
<=> ! [X3: $i > $i > $o] :
( ! [X4: $i] : ( X3 @ X4 @ X4 )
=> ( X3 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.mVV5GtH6VT/E---3.1_333848.p',cTHM47) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $i,X2: $i] :
( ( X1 = X2 )
<=> ! [X3: $i > $i > $o] :
( ! [X4: $i] : ( X3 @ X4 @ X4 )
=> ( X3 @ X1 @ X2 ) ) ),
inference(assume_negation,[status(cth)],[cTHM47]) ).
thf(c_0_2,negated_conjecture,
! [X12: $i,X13: $i > $i > $o] :
( ( ( epred1_0 @ X12 @ X12 )
| ( esk1_0 != esk2_0 ) )
& ( ~ ( epred1_0 @ esk1_0 @ esk2_0 )
| ( esk1_0 != esk2_0 ) )
& ( ( esk1_0 = esk2_0 )
| ~ ( X13 @ ( esk3_1 @ X13 ) @ ( esk3_1 @ X13 ) )
| ( X13 @ esk1_0 @ esk2_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,
! [X3: $i > $i > $o] :
( ( esk1_0 = esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk3_1 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X15: $i > $i > $i,X16: $i > $i > $i] :
( ( ( X15 @ esk1_0 @ esk2_0 )
= ( X16 @ esk1_0 @ esk2_0 ) )
| ( esk1_0 = esk2_0 )
| ( ( X15
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X15 @ Z0 @ Z1 )
= ( X16 @ Z0 @ Z1 ) ) )
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X15 @ Z0 @ Z1 )
= ( X16 @ Z0 @ Z1 ) ) ) )
!= ( X16
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X15 @ Z0 @ Z1 )
= ( X16 @ Z0 @ Z1 ) ) )
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X15 @ Z0 @ Z1 )
= ( X16 @ Z0 @ Z1 ) ) ) ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ~ ( epred1_0 @ esk1_0 @ esk2_0 )
| ( esk1_0 != esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
esk1_0 = esk2_0,
inference(er,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ X1 @ X1 )
| ( esk1_0 != esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
~ ( epred1_0 @ esk2_0 @ esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6])]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i] : ( epred1_0 @ X1 @ X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_6])]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO361^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n011.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 16:49:01 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.23 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.mVV5GtH6VT/E---3.1_333848.p
% 0.11/0.25 % Version: 3.5.1-ho
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho2 with 300s (1) cores
% 0.11/0.25 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.11/0.25 % Starting full_lambda_10 with 300s (1) cores
% 0.11/0.25 % Starting new_ho_8 with 300s (1) cores
% 0.11/0.25 % post_as_ho12 with pid 333861 completed with status 0
% 0.11/0.25 % Result found by post_as_ho12
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.25 % No SInE strategy applied
% 0.11/0.25 % Search class: HGHSF-FFSF11-SSSFFSBN
% 0.11/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.25 % SubtermCWHack with pid 333870 completed with status 10
% 0.11/0.25 % Starting post_as_ho12 with 31s (1) cores
% 0.11/0.25 % post_as_ho12 with pid 333877 completed with status 0
% 0.11/0.25 % Result found by post_as_ho12
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.25 % No SInE strategy applied
% 0.11/0.25 % Search class: HGHSF-FFSF11-SSSFFSBN
% 0.11/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.25 % SubtermCWHack with pid 333870 completed with status 10
% 0.11/0.25 % Starting post_as_ho12 with 31s (1) cores
% 0.11/0.25 % Preprocessing time : 0.001 s
% 0.11/0.25 % Presaturation interreduction done
% 0.11/0.25
% 0.11/0.25 % Proof found!
% 0.11/0.25 % SZS status Theorem
% 0.11/0.25 % SZS output start CNFRefutation
% See solution above
% 0.11/0.25 % Parsed axioms : 1
% 0.11/0.25 % Removed by relevancy pruning/SinE : 0
% 0.11/0.25 % Initial clauses : 3
% 0.11/0.25 % Removed in clause preprocessing : 0
% 0.11/0.25 % Initial clauses in saturation : 3
% 0.11/0.25 % Processed clauses : 10
% 0.11/0.25 % ...of these trivial : 0
% 0.11/0.25 % ...subsumed : 0
% 0.11/0.25 % ...remaining for further processing : 10
% 0.11/0.25 % Other redundant clauses eliminated : 0
% 0.11/0.25 % Clauses deleted for lack of memory : 0
% 0.11/0.25 % Backward-subsumed : 0
% 0.11/0.25 % Backward-rewritten : 5
% 0.11/0.25 % Generated clauses : 12
% 0.11/0.25 % ...of the previous two non-redundant : 5
% 0.11/0.25 % ...aggressively subsumed : 0
% 0.11/0.25 % Contextual simplify-reflections : 0
% 0.11/0.25 % Paramodulations : 4
% 0.11/0.25 % Factorizations : 0
% 0.11/0.25 % NegExts : 0
% 0.11/0.25 % Equation resolutions : 5
% 0.11/0.25 % Disequality decompositions : 0
% 0.11/0.25 % Total rewrite steps : 9
% 0.11/0.25 % ...of those cached : 7
% 0.11/0.25 % Propositional unsat checks : 0
% 0.11/0.25 % Propositional check models : 0
% 0.11/0.25 % Propositional check unsatisfiable : 0
% 0.11/0.25 % Propositional clauses : 0
% 0.11/0.25 % Propositional clauses after purity: 0
% 0.11/0.25 % Propositional unsat core size : 0
% 0.11/0.25 % Propositional preprocessing time : 0.000
% 0.11/0.25 % Propositional encoding time : 0.000
% 0.11/0.25 % Propositional solver time : 0.000
% 0.11/0.25 % Success case prop preproc time : 0.000
% 0.11/0.25 % Success case prop encoding time : 0.000
% 0.11/0.25 % Success case prop solver time : 0.000
% 0.11/0.25 % Current number of processed clauses : 2
% 0.11/0.25 % Positive orientable unit clauses : 2
% 0.11/0.25 % Positive unorientable unit clauses: 0
% 0.11/0.25 % Negative unit clauses : 0
% 0.11/0.25 % Non-unit-clauses : 0
% 0.11/0.25 % Current number of unprocessed clauses: 0
% 0.11/0.25 % ...number of literals in the above : 0
% 0.11/0.25 % Current number of archived formulas : 0
% 0.11/0.25 % Current number of archived clauses : 8
% 0.11/0.25 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.25 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.25 % Non-unit clause-clause subsumptions : 0
% 0.11/0.25 % Unit Clause-clause subsumption calls : 0
% 0.11/0.25 % Rewrite failures with RHS unbound : 0
% 0.11/0.25 % BW rewrite match attempts : 2
% 0.11/0.25 % BW rewrite match successes : 2
% 0.11/0.25 % Condensation attempts : 0
% 0.11/0.25 % Condensation successes : 0
% 0.11/0.25 % Termbank termtop insertions : 880
% 0.11/0.25 % Search garbage collected termcells : 117
% 0.11/0.25
% 0.11/0.25 % -------------------------------------------------
% 0.11/0.25 % User time : 0.006 s
% 0.11/0.25 % System time : 0.002 s
% 0.11/0.25 % Total time : 0.008 s
% 0.11/0.25 % Maximum resident set size: 3628 pages
% 0.11/0.25
% 0.11/0.25 % -------------------------------------------------
% 0.11/0.25 % User time : 0.008 s
% 0.11/0.25 % System time : 0.006 s
% 0.11/0.25 % Total time : 0.014 s
% 0.11/0.25 % Maximum resident set size: 4864 pages
% 0.11/0.25 % E exiting
%------------------------------------------------------------------------------