%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU484^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:24:04 AM UTC 2026
% Result : Theorem 0.23s 0.28s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 76 ( 15 ~; 5 |; 5 &; 42 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 4 ^; 20 !; 6 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_28,type,
refl: ( $i > $i > $o ) > $o ).
thf(decl_42,type,
term: ( $i > $i > $o ) > $o ).
thf(decl_52,type,
epred1_0: $i > $i > $o ).
thf(decl_53,type,
esk1_1: ( $i > $o ) > $i ).
thf(reflexive_implies_non_terminating,conjecture,
! [X1: $i > $i > $o] :
( ( refl @ X1 )
=> ~ ( term @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.vvg0jJDbuw/E---3.1_353682.p',reflexive_implies_non_terminating) ).
thf(reflexive,axiom,
( refl
= ( ^ [X1: $i > $i > $o] :
! [X3: $i] : ( X1 @ X3 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vvg0jJDbuw/E---3.1_353682.p',reflexive) ).
thf(terminating,axiom,
( term
= ( ^ [X1: $i > $i > $o] :
! [X7: $i > $o] :
( ? [X3: $i] : ( X7 @ X3 )
=> ? [X3: $i] :
( ( X7 @ X3 )
& ! [X4: $i] :
( ( X7 @ X4 )
=> ~ ( X1 @ X3 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vvg0jJDbuw/E---3.1_353682.p',terminating) ).
thf(c_0_3,negated_conjecture,
~ ! [X1: $i > $i > $o] :
( ( refl @ X1 )
=> ~ ( term @ X1 ) ),
inference(assume_negation,[status(cth)],[reflexive_implies_non_terminating]) ).
thf(c_0_4,plain,
( refl
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i] : ( Z0 @ X3 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[reflexive]) ).
thf(c_0_5,plain,
( term
= ( ^ [Z0: $i > $i > $o] :
! [X7: $i > $o] :
( ? [X3: $i] : ( X7 @ X3 )
=> ? [X3: $i] :
( ( X7 @ X3 )
& ! [X4: $i] :
( ( X7 @ X4 )
=> ~ ( Z0 @ X3 @ X4 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[terminating]) ).
thf(c_0_6,negated_conjecture,
~ ! [X1: $i > $i > $o] :
( ! [X158: $i] : ( X1 @ X158 @ X158 )
=> ~ ! [X159: $i > $o] :
( ? [X160: $i] : ( X159 @ X160 )
=> ? [X161: $i] :
( ( X159 @ X161 )
& ! [X162: $i] :
( ( X159 @ X162 )
=> ~ ( X1 @ X161 @ X162 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X164: $i,X165: $i > $o,X166: $i,X168: $i] :
( ( epred1_0 @ X164 @ X164 )
& ( ( X165 @ ( esk1_1 @ X165 ) )
| ~ ( X165 @ X166 ) )
& ( ~ ( X165 @ X168 )
| ~ ( epred1_0 @ ( esk1_1 @ X165 ) @ X168 )
| ~ ( X165 @ X166 ) ) ),
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_6])])])])])]) ).
thf(c_0_8,negated_conjecture,
! [X3: $i,X7: $i > $o,X4: $i] :
( ~ ( X7 @ X3 )
| ~ ( epred1_0 @ ( esk1_1 @ X7 ) @ X3 )
| ~ ( X7 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X3: $i] : ( epred1_0 @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU484^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.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 13:38:52 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 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.vvg0jJDbuw/E---3.1_353682.p
% 0.23/0.28 % Version: 3.5.1-ho
% 0.23/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.23/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.28 % Starting sh1l with 300s (1) cores
% 0.23/0.28 % Starting post_as_ho10 with 300s (1) cores
% 0.23/0.28 % post_as_ho1 with pid 353716 completed with status 0
% 0.23/0.28 % Result found by post_as_ho1
% 0.23/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.23/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.28 % No SInE strategy applied
% 0.23/0.28 % Search class: HHHNF-FFSF11-SHSSMMBC
% 0.23/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.28 % SubtermCWHack with pid 353722 completed with status 0
% 0.23/0.28 % Result found by SubtermCWHack
% 0.23/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.23/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.28 % No SInE strategy applied
% 0.23/0.28 % Search class: HHHNF-FFSF11-SHSSMMBC
% 0.23/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.28 % Preprocessing time : 0.001 s
% 0.23/0.28
% 0.23/0.28 % Proof found!
% 0.23/0.28 % SZS status Theorem
% 0.23/0.28 % SZS output start CNFRefutation
% See solution above
% 0.23/0.28 % Parsed axioms : 59
% 0.23/0.28 % Removed by relevancy pruning/SinE : 0
% 0.23/0.28 % Initial clauses : 32
% 0.23/0.28 % Removed in clause preprocessing : 29
% 0.23/0.28 % Initial clauses in saturation : 3
% 0.23/0.28 % Processed clauses : 5
% 0.23/0.28 % ...of these trivial : 0
% 0.23/0.28 % ...subsumed : 0
% 0.23/0.28 % ...remaining for further processing : 4
% 0.23/0.28 % Other redundant clauses eliminated : 0
% 0.23/0.28 % Clauses deleted for lack of memory : 0
% 0.23/0.28 % Backward-subsumed : 0
% 0.23/0.28 % Backward-rewritten : 0
% 0.23/0.28 % Generated clauses : 4
% 0.23/0.28 % ...of the previous two non-redundant : 3
% 0.23/0.28 % ...aggressively subsumed : 0
% 0.23/0.28 % Contextual simplify-reflections : 0
% 0.23/0.28 % Paramodulations : 4
% 0.23/0.28 % Factorizations : 0
% 0.23/0.28 % NegExts : 0
% 0.23/0.28 % Equation resolutions : 0
% 0.23/0.28 % Disequality decompositions : 0
% 0.23/0.28 % Total rewrite steps : 1
% 0.23/0.28 % ...of those cached : 0
% 0.23/0.28 % Propositional unsat checks : 0
% 0.23/0.28 % Propositional check models : 0
% 0.23/0.28 % Propositional check unsatisfiable : 0
% 0.23/0.28 % Propositional clauses : 0
% 0.23/0.28 % Propositional clauses after purity: 0
% 0.23/0.28 % Propositional unsat core size : 0
% 0.23/0.28 % Propositional preprocessing time : 0.000
% 0.23/0.28 % Propositional encoding time : 0.000
% 0.23/0.28 % Propositional solver time : 0.000
% 0.23/0.28 % Success case prop preproc time : 0.000
% 0.23/0.28 % Success case prop encoding time : 0.000
% 0.23/0.28 % Success case prop solver time : 0.000
% 0.23/0.28 % Current number of processed clauses : 4
% 0.23/0.28 % Positive orientable unit clauses : 2
% 0.23/0.28 % Positive unorientable unit clauses: 0
% 0.23/0.28 % Negative unit clauses : 0
% 0.23/0.28 % Non-unit-clauses : 2
% 0.23/0.28 % Current number of unprocessed clauses: 1
% 0.23/0.28 % ...number of literals in the above : 2
% 0.23/0.28 % Current number of archived formulas : 0
% 0.23/0.28 % Current number of archived clauses : 0
% 0.23/0.28 % Clause-clause subsumption calls (NU) : 1
% 0.23/0.28 % Rec. Clause-clause subsumption calls : 1
% 0.23/0.28 % Non-unit clause-clause subsumptions : 0
% 0.23/0.28 % Unit Clause-clause subsumption calls : 0
% 0.23/0.28 % Rewrite failures with RHS unbound : 0
% 0.23/0.28 % BW rewrite match attempts : 0
% 0.23/0.28 % BW rewrite match successes : 0
% 0.23/0.28 % Condensation attempts : 0
% 0.23/0.28 % Condensation successes : 0
% 0.23/0.28 % Termbank termtop insertions : 3034
% 0.23/0.28 % Search garbage collected termcells : 703
% 0.23/0.28
% 0.23/0.28 % -------------------------------------------------
% 0.23/0.28 % User time : 0.005 s
% 0.23/0.28 % System time : 0.003 s
% 0.23/0.28 % Total time : 0.008 s
% 0.23/0.28 % Maximum resident set size: 3944 pages
% 0.23/0.28
% 0.23/0.28 % -------------------------------------------------
% 0.23/0.28 % User time : 0.006 s
% 0.23/0.28 % System time : 0.008 s
% 0.23/0.28 % Total time : 0.014 s
% 0.23/0.28 % Maximum resident set size: 4864 pages
% 0.23/0.28 % E exiting
%------------------------------------------------------------------------------