%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET630^3 : 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 : n018.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 08:22:15 AM UTC 2026
% Result : Theorem 0.06s 0.26s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 6 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 90 ( 17 ~; 8 |; 17 &; 48 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 25 ( 16 ^; 6 !; 3 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_29,type,
excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_30,type,
intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_36,type,
misses: ( $i > $o ) > ( $i > $o ) > $o ).
thf(decl_37,type,
epred1_0: $i > $o ).
thf(decl_38,type,
epred2_0: $i > $o ).
thf(decl_39,type,
esk1_0: $i ).
thf(thm,conjecture,
! [X22: $i > $o,X23: $i > $o] : ( misses @ ( intersection @ X22 @ X23 ) @ ( excl_union @ X22 @ X23 ) ),
file('/export/starexec/sandbox2/tmp/tmp.tokWYpNAnA/E---3.1_81701.p',thm) ).
thf(excl_union,axiom,
( excl_union
= ( ^ [X7: $i > $o,X8: $i > $o,X4: $i] :
( ( ( X7 @ X4 )
& ~ ( X8 @ X4 ) )
| ( ~ ( X7 @ X4 )
& ( X8 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tokWYpNAnA/E---3.1_81701.p',excl_union) ).
thf(intersection,axiom,
( intersection
= ( ^ [X9: $i > $o,X10: $i > $o,X4: $i] :
( ( X9 @ X4 )
& ( X10 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tokWYpNAnA/E---3.1_81701.p',intersection) ).
thf(misses,axiom,
( misses
= ( ^ [X20: $i > $o,X21: $i > $o] :
~ ? [X4: $i] :
( ( X20 @ X4 )
& ( X21 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tokWYpNAnA/E---3.1_81701.p',misses) ).
thf(c_0_4,negated_conjecture,
~ ! [X22: $i > $o,X23: $i > $o] : ( misses @ ( intersection @ X22 @ X23 ) @ ( excl_union @ X22 @ X23 ) ),
inference(assume_negation,[status(cth)],[thm]) ).
thf(c_0_5,plain,
( excl_union
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( ( Z0 @ Z2 )
& ~ ( Z1 @ Z2 ) )
| ( ~ ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[excl_union]) ).
thf(c_0_6,plain,
( intersection
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[intersection]) ).
thf(c_0_7,plain,
( misses
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
~ ? [X4: $i] :
( ( Z0 @ X4 )
& ( Z1 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[misses]) ).
thf(c_0_8,negated_conjecture,
~ ! [X22: $i > $o,X23: $i > $o] :
~ ? [X26: $i] :
( ( X22 @ X26 )
& ( X23 @ X26 )
& ( ( ( X22 @ X26 )
& ~ ( X23 @ X26 ) )
| ( ~ ( X22 @ X26 )
& ( X23 @ X26 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).
thf(c_0_9,negated_conjecture,
( ( epred1_0 @ esk1_0 )
& ( epred2_0 @ esk1_0 )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
thf(c_0_10,negated_conjecture,
( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
epred2_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET630^3 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n018.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 13:42:11 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running higher-order theorem proving
% 0.06/0.24 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.tokWYpNAnA/E---3.1_81701.p
% 0.06/0.26 % Version: 3.5.1-ho
% 0.06/0.26 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.06/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.26 % Starting new_ho_9 with 1500s (5) cores
% 0.06/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.06/0.26 % Starting sh1l with 300s (1) cores
% 0.06/0.26 % Starting post_as_ho10 with 300s (1) cores
% 0.06/0.26 % new_ho_9 with pid 81714 completed with status 0
% 0.06/0.26 % Result found by new_ho_9
% 0.06/0.26 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.06/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.26 % Starting new_ho_9 with 1500s (5) cores
% 0.06/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.06/0.26 % No SInE strategy applied
% 0.06/0.26 % Search class: HGHNF-FFSS00-SHSSMFNN
% 0.06/0.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.06/0.26 % Starting SubtermCWHack with 136s (1) cores
% 0.06/0.26 % Starting new_ho_9 with 151s (1) cores
% 0.06/0.26 % Starting sh5l with 136s (1) cores
% 0.06/0.26 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.06/0.26 % Starting lpo1_def_fix with 136s (1) cores
% 0.06/0.26 % SubtermCWHack with pid 81718 completed with status 0
% 0.06/0.26 % Result found by SubtermCWHack
% 0.06/0.26 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.06/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.26 % Starting new_ho_9 with 1500s (5) cores
% 0.06/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.06/0.26 % No SInE strategy applied
% 0.06/0.26 % Search class: HGHNF-FFSS00-SHSSMFNN
% 0.06/0.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.06/0.26 % Starting SubtermCWHack with 136s (1) cores
% 0.06/0.26 % Preprocessing time : 0.001 s
% 0.06/0.26
% 0.06/0.26 % Proof found!
% 0.06/0.26 % SZS status Theorem
% 0.06/0.26 % SZS output start CNFRefutation
% See solution above
% 0.06/0.26 % Parsed axioms : 29
% 0.06/0.26 % Removed by relevancy pruning/SinE : 0
% 0.06/0.26 % Initial clauses : 20
% 0.06/0.26 % Removed in clause preprocessing : 16
% 0.06/0.26 % Initial clauses in saturation : 4
% 0.06/0.26 % Processed clauses : 4
% 0.06/0.26 % ...of these trivial : 1
% 0.06/0.26 % ...subsumed : 0
% 0.06/0.26 % ...remaining for further processing : 2
% 0.06/0.26 % Other redundant clauses eliminated : 0
% 0.06/0.26 % Clauses deleted for lack of memory : 0
% 0.06/0.26 % Backward-subsumed : 0
% 0.06/0.26 % Backward-rewritten : 0
% 0.06/0.26 % Generated clauses : 0
% 0.06/0.26 % ...of the previous two non-redundant : 0
% 0.06/0.26 % ...aggressively subsumed : 0
% 0.06/0.26 % Contextual simplify-reflections : 0
% 0.06/0.26 % Paramodulations : 0
% 0.06/0.26 % Factorizations : 0
% 0.06/0.26 % NegExts : 0
% 0.06/0.26 % Equation resolutions : 0
% 0.06/0.26 % Disequality decompositions : 0
% 0.06/0.26 % Total rewrite steps : 4
% 0.06/0.26 % ...of those cached : 2
% 0.06/0.26 % Propositional unsat checks : 0
% 0.06/0.26 % Propositional check models : 0
% 0.06/0.26 % Propositional check unsatisfiable : 0
% 0.06/0.26 % Propositional clauses : 0
% 0.06/0.26 % Propositional clauses after purity: 0
% 0.06/0.26 % Propositional unsat core size : 0
% 0.06/0.26 % Propositional preprocessing time : 0.000
% 0.06/0.26 % Propositional encoding time : 0.000
% 0.06/0.26 % Propositional solver time : 0.000
% 0.06/0.26 % Success case prop preproc time : 0.000
% 0.06/0.26 % Success case prop encoding time : 0.000
% 0.06/0.26 % Success case prop solver time : 0.000
% 0.06/0.26 % Current number of processed clauses : 2
% 0.06/0.26 % Positive orientable unit clauses : 2
% 0.06/0.26 % Positive unorientable unit clauses: 0
% 0.06/0.26 % Negative unit clauses : 0
% 0.06/0.26 % Non-unit-clauses : 0
% 0.06/0.26 % Current number of unprocessed clauses: 0
% 0.06/0.26 % ...number of literals in the above : 0
% 0.06/0.26 % Current number of archived formulas : 0
% 0.06/0.26 % Current number of archived clauses : 0
% 0.06/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.06/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.06/0.26 % Non-unit clause-clause subsumptions : 0
% 0.06/0.26 % Unit Clause-clause subsumption calls : 0
% 0.06/0.26 % Rewrite failures with RHS unbound : 0
% 0.06/0.26 % BW rewrite match attempts : 0
% 0.06/0.26 % BW rewrite match successes : 0
% 0.06/0.26 % Condensation attempts : 0
% 0.06/0.26 % Condensation successes : 0
% 0.06/0.26 % Termbank termtop insertions : 875
% 0.06/0.26 % Search garbage collected termcells : 116
% 0.06/0.26
% 0.06/0.26 % -------------------------------------------------
% 0.06/0.26 % User time : 0.004 s
% 0.06/0.26 % System time : 0.001 s
% 0.06/0.26 % Total time : 0.005 s
% 0.06/0.26 % Maximum resident set size: 3656 pages
% 0.06/0.26
% 0.06/0.26 % -------------------------------------------------
% 0.06/0.26 % User time : 0.010 s
% 0.06/0.26 % System time : 0.008 s
% 0.06/0.26 % Total time : 0.018 s
% 0.06/0.26 % Maximum resident set size: 4608 pages
% 0.06/0.26 % E exiting
%------------------------------------------------------------------------------