%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU700^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:25:16 AM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 11 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 140 ( 20 ~; 10 |; 15 &; 75 @)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 7 ^; 27 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
in: $i > $i > $o ).
thf(decl_24,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(decl_25,type,
dsetconstrI: $o ).
thf(decl_26,type,
esk1_0: $i ).
thf(decl_27,type,
epred1_0: $o ).
thf(decl_28,type,
esk2_0: $i ).
thf(decl_29,type,
esk3_0: $i ).
thf(iffalseProp1,conjecture,
( dsetconstrI
=> ! [X1: $i,X5: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ~ X5
=> ( in @ X4
@ ( dsetconstr @ X1
@ ^ [X6: $i] :
( ( X5
& ( X6 = X3 ) )
| ( ~ X5
& ( X6 = X4 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7vaFP2f8lW/E---3.1_1350470.p',iffalseProp1) ).
thf(dsetconstrI,axiom,
( dsetconstrI
<=> ! [X1: $i,X2: $i > $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ( ( X2 @ X3 )
=> ( in @ X3
@ ( dsetconstr @ X1
@ ^ [X4: $i] : ( X2 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7vaFP2f8lW/E---3.1_1350470.p',dsetconstrI) ).
thf(c_0_2,negated_conjecture,
~ ( dsetconstrI
=> ! [X1: $i,X5: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ~ X5
=> ( in @ X4
@ ( dsetconstr @ X1
@ ^ [X6: $i] :
( ( X5
& ( X6 = X3 ) )
| ( ~ X5
& ( X6 = X4 ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[iffalseProp1]) ).
thf(c_0_3,plain,
( dsetconstrI
<=> ! [X1: $i,X2: $i > $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ( ( X2 @ X3 )
=> ( in @ X3
@ ( dsetconstr @ X1
@ ^ [Z0: $i] : ( X2 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstrI]) ).
thf(c_0_4,negated_conjecture,
~ ( ! [X14: $i,X15: $i > $o,X16: $i] :
( ( in @ X16 @ X14 )
=> ( ( X15 @ X16 )
=> ( in @ X16 @ ( dsetconstr @ X14 @ X15 ) ) ) )
=> ! [X1: $i,X5: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ~ X5
=> ( in @ X4
@ ( dsetconstr @ X1
@ ^ [Z0: $i] :
( ( X5
& ( Z0 = X3 ) )
| ( ~ X5
& ( Z0 = X4 ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]),c_0_3])])]) ).
thf(c_0_5,negated_conjecture,
! [X17: $i,X18: $i > $o,X19: $i] :
( ( ~ ( in @ X19 @ X17 )
| ~ ( X18 @ X19 )
| ( in @ X19 @ ( dsetconstr @ X17 @ X18 ) ) )
& ( in @ esk2_0 @ esk1_0 )
& ( in @ esk3_0 @ esk1_0 )
& ~ epred1_0
& ~ ( in @ esk3_0
@ ( dsetconstr @ esk1_0
@ ^ [Z0: $i] :
( ( epred1_0
& ( Z0 = esk2_0 ) )
| ( ~ epred1_0
& ( Z0 = esk3_0 ) ) ) ) ) ),
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_4])])])])]) ).
thf(c_0_6,negated_conjecture,
~ ( in @ esk3_0
@ ( dsetconstr @ esk1_0
@ ^ [Z0: $i] :
( ( epred1_0
& ( Z0 = esk2_0 ) )
| ( ~ epred1_0
& ( Z0 = esk3_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X3: $i,X2: $i > $o,X1: $i] :
( ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
in @ esk3_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
~ ( ~ epred1_0
| ( epred1_0
& ( esk3_0 = esk2_0 ) ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])])]) ).
thf(c_0_10,negated_conjecture,
~ epred1_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU700^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n002.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 14:14:52 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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.7vaFP2f8lW/E---3.1_1350470.p
% 0.09/0.23 % Version: 3.5.1-ho
% 0.09/0.23 % Preprocessing class: HSSSSMSSSLMNSSA.
% 0.09/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.23 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.23 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.23 % Starting new_bool_2 with 300s (1) cores
% 0.09/0.23 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.23 % new_bool_1 with pid 1350484 completed with status 0
% 0.09/0.23 % Result found by new_bool_1
% 0.09/0.23 % Preprocessing class: HSSSSMSSSLMNSSA.
% 0.09/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.23 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.23 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.23 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.09/0.23 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.23 % Search class: HHUNF-FFSF22-MSSFMSBN
% 0.09/0.23 % partial match(3): HGUNF-FFSF32-MSSFFSBN
% 0.09/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.23 % SubtermCWHack with pid 1350487 completed with status 0
% 0.09/0.23 % Result found by SubtermCWHack
% 0.09/0.23 % Preprocessing class: HSSSSMSSSLMNSSA.
% 0.09/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.23 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.23 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.23 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.09/0.23 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.23 % Search class: HHUNF-FFSF22-MSSFMSBN
% 0.09/0.23 % partial match(3): HGUNF-FFSF32-MSSFFSBN
% 0.09/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.23 % Preprocessing time : 0.001 s
% 0.09/0.23
% 0.09/0.23 % Proof found!
% 0.09/0.23 % SZS status Theorem
% 0.09/0.23 % SZS output start CNFRefutation
% See solution above
% 0.09/0.23 % Parsed axioms : 5
% 0.09/0.23 % Removed by relevancy pruning/SinE : 3
% 0.09/0.23 % Initial clauses : 5
% 0.09/0.23 % Removed in clause preprocessing : 0
% 0.09/0.23 % Initial clauses in saturation : 5
% 0.09/0.23 % Processed clauses : 6
% 0.09/0.23 % ...of these trivial : 0
% 0.09/0.23 % ...subsumed : 0
% 0.09/0.23 % ...remaining for further processing : 6
% 0.09/0.23 % Other redundant clauses eliminated : 0
% 0.09/0.23 % Clauses deleted for lack of memory : 0
% 0.09/0.23 % Backward-subsumed : 0
% 0.09/0.23 % Backward-rewritten : 0
% 0.09/0.23 % Generated clauses : 3
% 0.09/0.23 % ...of the previous two non-redundant : 2
% 0.09/0.23 % ...aggressively subsumed : 0
% 0.09/0.23 % Contextual simplify-reflections : 0
% 0.09/0.23 % Paramodulations : 1
% 0.09/0.23 % Factorizations : 0
% 0.09/0.23 % NegExts : 0
% 0.09/0.23 % Equation resolutions : 0
% 0.09/0.23 % Disequality decompositions : 0
% 0.09/0.23 % Total rewrite steps : 1
% 0.09/0.23 % ...of those cached : 0
% 0.09/0.23 % Propositional unsat checks : 0
% 0.09/0.23 % Propositional check models : 0
% 0.09/0.23 % Propositional check unsatisfiable : 0
% 0.09/0.23 % Propositional clauses : 0
% 0.09/0.23 % Propositional clauses after purity: 0
% 0.09/0.23 % Propositional unsat core size : 0
% 0.09/0.23 % Propositional preprocessing time : 0.000
% 0.09/0.23 % Propositional encoding time : 0.000
% 0.09/0.23 % Propositional solver time : 0.000
% 0.09/0.23 % Success case prop preproc time : 0.000
% 0.09/0.23 % Success case prop encoding time : 0.000
% 0.09/0.23 % Success case prop solver time : 0.000
% 0.09/0.23 % Current number of processed clauses : 5
% 0.09/0.23 % Positive orientable unit clauses : 2
% 0.09/0.23 % Positive unorientable unit clauses: 0
% 0.09/0.23 % Negative unit clauses : 2
% 0.09/0.23 % Non-unit-clauses : 1
% 0.09/0.23 % Current number of unprocessed clauses: 0
% 0.09/0.23 % ...number of literals in the above : 0
% 0.09/0.23 % Current number of archived formulas : 0
% 0.09/0.23 % Current number of archived clauses : 1
% 0.09/0.23 % Clause-clause subsumption calls (NU) : 0
% 0.09/0.23 % Rec. Clause-clause subsumption calls : 0
% 0.09/0.23 % Non-unit clause-clause subsumptions : 0
% 0.09/0.23 % Unit Clause-clause subsumption calls : 0
% 0.09/0.23 % Rewrite failures with RHS unbound : 0
% 0.09/0.23 % BW rewrite match attempts : 0
% 0.09/0.23 % BW rewrite match successes : 0
% 0.09/0.23 % Condensation attempts : 0
% 0.09/0.23 % Condensation successes : 0
% 0.09/0.23 % Termbank termtop insertions : 698
% 0.09/0.23 % Search garbage collected termcells : 214
% 0.09/0.23
% 0.09/0.23 % -------------------------------------------------
% 0.09/0.23 % User time : 0.003 s
% 0.09/0.23 % System time : 0.002 s
% 0.09/0.23 % Total time : 0.005 s
% 0.09/0.23 % Maximum resident set size: 3636 pages
% 0.09/0.23
% 0.09/0.23 % -------------------------------------------------
% 0.09/0.23 % User time : 0.005 s
% 0.09/0.23 % System time : 0.006 s
% 0.09/0.23 % Total time : 0.011 s
% 0.09/0.23 % Maximum resident set size: 4864 pages
% 0.09/0.23 % E exiting
%------------------------------------------------------------------------------