%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU633^2 : TPTP v9.3.1. Released v3.7.0.
% 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 08:24:48 AM UTC 2026
% Result : Theorem 0.27s 0.38s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 142 ( 17 ~; 11 |; 7 &; 92 @)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 27 ( 0 ^; 24 !; 3 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
in: $i > $i > $o ).
thf(decl_24,type,
setunion: $i > $i ).
thf(decl_25,type,
setunionE: $o ).
thf(decl_26,type,
esk1_3: $i > $i > $o > $i ).
thf(decl_27,type,
esk2_0: $i ).
thf(decl_28,type,
esk3_0: $i ).
thf(setunionE2,conjecture,
( setunionE
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X1 ) )
=> ? [X5: $i] :
( ( in @ X5 @ X1 )
& ( in @ X2 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8QyWUK2Ag3/E---3.1_1712525.p',setunionE2) ).
thf(setunionE,axiom,
( setunionE
<=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X1 ) )
=> ! [X3: $o] :
( ! [X4: $i] :
( ( in @ X2 @ X4 )
=> ( ( in @ X4 @ X1 )
=> X3 ) )
=> X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8QyWUK2Ag3/E---3.1_1712525.p',setunionE) ).
thf(c_0_2,negated_conjecture,
~ ( setunionE
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X1 ) )
=> ? [X5: $i] :
( ( in @ X5 @ X1 )
& ( in @ X2 @ X5 ) ) ) ),
inference(assume_negation,[status(cth)],[setunionE2]) ).
thf(c_0_3,negated_conjecture,
~ ( ! [X13: $i,X14: $i] :
( ( in @ X14 @ ( setunion @ X13 ) )
=> ! [X15: $o] :
( ! [X16: $i] :
( ( in @ X14 @ X16 )
=> ( ( in @ X16 @ X13 )
=> X15 ) )
=> X15 ) )
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X1 ) )
=> ? [X5: $i] :
( ( in @ X5 @ X1 )
& ( in @ X2 @ X5 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_2,setunionE]) ).
thf(c_0_4,negated_conjecture,
! [X17: $i,X18: $i,X19: $o,X23: $i] :
( ( ( in @ X18 @ ( esk1_3 @ X17 @ X18 @ X19 ) )
| X19
| ~ ( in @ X18 @ ( setunion @ X17 ) ) )
& ( ( in @ ( esk1_3 @ X17 @ X18 @ X19 ) @ X17 )
| X19
| ~ ( in @ X18 @ ( setunion @ X17 ) ) )
& ( ~ X19
| X19
| ~ ( in @ X18 @ ( setunion @ X17 ) ) )
& ( in @ esk3_0 @ ( setunion @ esk2_0 ) )
& ( ~ ( in @ X23 @ esk2_0 )
| ~ ( in @ esk3_0 @ X23 ) ) ),
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_3])])])])])]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i] :
( ~ ( in @ X1 @ esk2_0 )
| ~ ( in @ esk3_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X2: $i,X1: $i] :
( ( in @ ( esk1_3 @ X1 @ X2 @ ~ $true ) @ X1 )
| ~ ( in @ X2 @ ( setunion @ X1 ) ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_4])])]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i] :
( ~ ( in @ esk3_0 @ ( esk1_3 @ esk2_0 @ X1 @ ~ $true ) )
| ~ ( in @ X1 @ ( setunion @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i,X2: $i] :
( ( in @ X1 @ ( esk1_3 @ X2 @ X1 @ ~ $true ) )
| ~ ( in @ X1 @ ( setunion @ X2 ) ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_4])])]) ).
thf(c_0_9,negated_conjecture,
in @ esk3_0 @ ( setunion @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU633^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.27 % Computer : n005.cluster.edu
% 0.14/0.27 % Model : x86_64 x86_64
% 0.14/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.27 % Memory : 8046.5625MB
% 0.14/0.27 % OS : Linux 6.8.0-71-generic
% 0.14/0.27 % CPULimit : 300
% 0.14/0.27 % WCLimit : 300
% 0.14/0.27 % DateTime : Tue Sep 29 14:00:16 UTC 2026
% 0.14/0.28 % CPUTime :
% 0.14/0.28 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.34 Running higher-order theorem proving
% 0.27/0.35 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.8QyWUK2Ag3/E---3.1_1712525.p
% 0.27/0.38 % Version: 3.5.1-ho
% 0.27/0.38 % Preprocessing class: HSSSSMSSSLSNFFN.
% 0.27/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.27/0.38 % Starting sh5l with 300s (1) cores
% 0.27/0.38 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.38 % Starting lpo1_def_fix with 300s (1) cores
% 0.27/0.38 % ehoh_best_sine_rwall with pid 1712540 completed with status 0
% 0.27/0.38 % Result found by ehoh_best_sine_rwall
% 0.27/0.38 % Preprocessing class: HSSSSMSSSLSNFFN.
% 0.27/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.27/0.38 % Starting sh5l with 300s (1) cores
% 0.27/0.38 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.38 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.27/0.38 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.38 % Search class: HHHNF-FFSF32-SFFFMFNN
% 0.27/0.38 % partial match(2): HGUNF-FFSF32-SFFFMFNN
% 0.27/0.38 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.38 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.38 % SubtermCWHack with pid 1712542 completed with status 0
% 0.27/0.38 % Result found by SubtermCWHack
% 0.27/0.38 % Preprocessing class: HSSSSMSSSLSNFFN.
% 0.27/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.27/0.38 % Starting sh5l with 300s (1) cores
% 0.27/0.38 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.38 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.27/0.38 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.38 % Search class: HHHNF-FFSF32-SFFFMFNN
% 0.27/0.38 % partial match(2): HGUNF-FFSF32-SFFFMFNN
% 0.27/0.38 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.38 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.38 % Preprocessing time : 0.002 s
% 0.27/0.38
% 0.27/0.38 % Proof found!
% 0.27/0.38 % SZS status Theorem
% 0.27/0.38 % SZS output start CNFRefutation
% See solution above
% 0.27/0.38 % Parsed axioms : 5
% 0.27/0.38 % Removed by relevancy pruning/SinE : 3
% 0.27/0.38 % Initial clauses : 5
% 0.27/0.38 % Removed in clause preprocessing : 1
% 0.27/0.38 % Initial clauses in saturation : 4
% 0.27/0.38 % Processed clauses : 5
% 0.27/0.38 % ...of these trivial : 0
% 0.27/0.38 % ...subsumed : 0
% 0.27/0.38 % ...remaining for further processing : 5
% 0.27/0.38 % Other redundant clauses eliminated : 0
% 0.27/0.38 % Clauses deleted for lack of memory : 0
% 0.27/0.38 % Backward-subsumed : 0
% 0.27/0.38 % Backward-rewritten : 0
% 0.27/0.38 % Generated clauses : 2
% 0.27/0.38 % ...of the previous two non-redundant : 1
% 0.27/0.38 % ...aggressively subsumed : 0
% 0.27/0.38 % Contextual simplify-reflections : 0
% 0.27/0.38 % Paramodulations : 2
% 0.27/0.38 % Factorizations : 0
% 0.27/0.38 % NegExts : 0
% 0.27/0.38 % Equation resolutions : 0
% 0.27/0.38 % Disequality decompositions : 0
% 0.27/0.38 % Total rewrite steps : 1
% 0.27/0.38 % ...of those cached : 0
% 0.27/0.38 % Propositional unsat checks : 0
% 0.27/0.38 % Propositional check models : 0
% 0.27/0.38 % Propositional check unsatisfiable : 0
% 0.27/0.38 % Propositional clauses : 0
% 0.27/0.38 % Propositional clauses after purity: 0
% 0.27/0.38 % Propositional unsat core size : 0
% 0.27/0.38 % Propositional preprocessing time : 0.000
% 0.27/0.38 % Propositional encoding time : 0.000
% 0.27/0.38 % Propositional solver time : 0.000
% 0.27/0.38 % Success case prop preproc time : 0.000
% 0.27/0.38 % Success case prop encoding time : 0.000
% 0.27/0.38 % Success case prop solver time : 0.000
% 0.27/0.38 % Current number of processed clauses : 5
% 0.27/0.38 % Positive orientable unit clauses : 1
% 0.27/0.38 % Positive unorientable unit clauses: 0
% 0.27/0.38 % Negative unit clauses : 0
% 0.27/0.38 % Non-unit-clauses : 4
% 0.27/0.38 % Current number of unprocessed clauses: 0
% 0.27/0.38 % ...number of literals in the above : 0
% 0.27/0.38 % Current number of archived formulas : 0
% 0.27/0.38 % Current number of archived clauses : 0
% 0.27/0.38 % Clause-clause subsumption calls (NU) : 5
% 0.27/0.38 % Rec. Clause-clause subsumption calls : 5
% 0.27/0.38 % Non-unit clause-clause subsumptions : 0
% 0.27/0.38 % Unit Clause-clause subsumption calls : 0
% 0.27/0.38 % Rewrite failures with RHS unbound : 0
% 0.27/0.38 % BW rewrite match attempts : 0
% 0.27/0.38 % BW rewrite match successes : 0
% 0.27/0.38 % Condensation attempts : 0
% 0.27/0.38 % Condensation successes : 0
% 0.27/0.38 % Termbank termtop insertions : 591
% 0.27/0.38 % Search garbage collected termcells : 206
% 0.27/0.38
% 0.27/0.38 % -------------------------------------------------
% 0.27/0.38 % User time : 0.003 s
% 0.27/0.38 % System time : 0.003 s
% 0.27/0.38 % Total time : 0.006 s
% 0.27/0.38 % Maximum resident set size: 3632 pages
% 0.27/0.38
% 0.27/0.38 % -------------------------------------------------
% 0.27/0.38 % User time : 0.005 s
% 0.27/0.38 % System time : 0.009 s
% 0.27/0.38 % Total time : 0.014 s
% 0.27/0.38 % Maximum resident set size: 4864 pages
% 0.27/0.38 % E exiting
%------------------------------------------------------------------------------