%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU435+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 : Thu Sep 24 02:25:10 PM UTC 2026
% Result : Theorem 7.67s 3.76s
% Output : CNFRefutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 4 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 30 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t36_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
=> ! [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_relset_2) ).
fof(s8_domain_1__e1_46__relset_2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X6,k1_zfmisc_1(X4))
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_46__relset_2) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
=> ! [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
inference(assume_negation,[status(cth)],[t36_relset_2]) ).
fof(c_0_3,negated_conjecture,
( ~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
& m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0))
& m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,plain,
! [X104,X105,X106,X107,X108,X109] :
( m1_subset_1(a_6_0_relset_2(X104,X105,X106,X107,X108,X109),k1_zfmisc_1(k1_zfmisc_1(X108)))
| ~ m1_subset_1(X109,k1_zfmisc_1(X107))
| ~ m1_subset_1(X106,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X104,X105)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s8_domain_1__e1_46__relset_2])])]) ).
cnf(c_0_5,negated_conjecture,
~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(X5))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3))))
| m1_subset_1(a_6_0_relset_2(X2,X3,X1,X5,X6,X4),k1_zfmisc_1(k1_zfmisc_1(X6))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU435+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 21 06:31:05 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.32 Running first-order theorem proving
% 0.02/0.32 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.67/3.76 % Version: 3.5.1
% 7.67/3.76 % Preprocessing class: FMLLMLLLSSSNFFN.
% 7.67/3.76 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 7.67/3.76 % Starting new_bool_3 with 894s (3) cores
% 7.67/3.76 % Starting new_bool_1 with 894s (3) cores
% 7.67/3.76 % Starting sh5l with 298s (1) cores
% 7.67/3.76 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 7.67/3.76 % new_bool_1 with pid 1791739 completed with status 0
% 7.67/3.76 % Result found by new_bool_1
% 7.67/3.76 % Preprocessing class: FMLLMLLLSSSNFFN.
% 7.67/3.76 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 7.67/3.76 % Starting new_bool_3 with 894s (3) cores
% 7.67/3.76 % Starting new_bool_1 with 894s (3) cores
% 7.67/3.76 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 7.67/3.76 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.67/3.76 % Search class: FGHSM-FMLM32-MFFFFFNN
% 7.67/3.76 % partial match(1): FGHSM-SMLM32-MFFFFFNN
% 7.67/3.76 % Scheduled 13 strats onto 3 cores with 894 seconds (894 total)
% 7.67/3.76 % Starting SubtermCWHack with 81s (1) cores
% 7.67/3.76 % Starting new_bool_1 with 90s (1) cores
% 7.67/3.76 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 7.67/3.76 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 1791746 completed with status 0
% 7.67/3.76 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 7.67/3.76 % Preprocessing class: FMLLMLLLSSSNFFN.
% 7.67/3.76 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 7.67/3.76 % Starting new_bool_3 with 894s (3) cores
% 7.67/3.76 % Starting new_bool_1 with 894s (3) cores
% 7.67/3.76 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 7.67/3.76 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.67/3.76 % Search class: FGHSM-FMLM32-MFFFFFNN
% 7.67/3.76 % partial match(1): FGHSM-SMLM32-MFFFFFNN
% 7.67/3.76 % Scheduled 13 strats onto 3 cores with 894 seconds (894 total)
% 7.67/3.76 % Starting SubtermCWHack with 81s (1) cores
% 7.67/3.76 % Starting new_bool_1 with 90s (1) cores
% 7.67/3.76 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 7.67/3.76 % Preprocessing time : 0.038 s
% 7.67/3.76 % Presaturation interreduction done
% 7.67/3.76
% 7.67/3.76 % Proof found!
% 7.67/3.76 % SZS status Theorem
% 7.67/3.76 % SZS output start CNFRefutation
% See solution above
% 7.67/3.76 % Parsed axioms : 71120
% 7.67/3.76 % Removed by relevancy pruning/SinE : 70661
% 7.67/3.76 % Initial clauses : 1001
% 7.67/3.76 % Removed in clause preprocessing : 27
% 7.67/3.76 % Initial clauses in saturation : 974
% 7.67/3.76 % Processed clauses : 5264
% 7.67/3.76 % ...of these trivial : 44
% 7.67/3.76 % ...subsumed : 2687
% 7.67/3.76 % ...remaining for further processing : 2533
% 7.67/3.76 % Other redundant clauses eliminated : 127
% 7.67/3.76 % Clauses deleted for lack of memory : 0
% 7.67/3.76 % Backward-subsumed : 11
% 7.67/3.76 % Backward-rewritten : 42
% 7.67/3.76 % Generated clauses : 10793
% 7.67/3.76 % ...of the previous two non-redundant : 9721
% 7.67/3.76 % ...aggressively subsumed : 0
% 7.67/3.76 % Contextual simplify-reflections : 53
% 7.67/3.76 % Paramodulations : 10666
% 7.67/3.76 % Factorizations : 2
% 7.67/3.76 % NegExts : 0
% 7.67/3.76 % Equation resolutions : 133
% 7.67/3.76 % Disequality decompositions : 0
% 7.67/3.76 % Total rewrite steps : 2723
% 7.67/3.76 % ...of those cached : 2423
% 7.67/3.76 % Propositional unsat checks : 0
% 7.67/3.76 % Propositional check models : 0
% 7.67/3.76 % Propositional check unsatisfiable : 0
% 7.67/3.76 % Propositional clauses : 0
% 7.67/3.76 % Propositional clauses after purity: 0
% 7.67/3.76 % Propositional unsat core size : 0
% 7.67/3.76 % Propositional preprocessing time : 0.000
% 7.67/3.76 % Propositional encoding time : 0.000
% 7.67/3.76 % Propositional solver time : 0.000
% 7.67/3.76 % Success case prop preproc time : 0.000
% 7.67/3.76 % Success case prop encoding time : 0.000
% 7.67/3.76 % Success case prop solver time : 0.000
% 7.67/3.76 % Current number of processed clauses : 1493
% 7.67/3.76 % Positive orientable unit clauses : 235
% 7.67/3.76 % Positive unorientable unit clauses: 1
% 7.67/3.76 % Negative unit clauses : 322
% 7.67/3.76 % Non-unit-clauses : 935
% 7.67/3.76 % Current number of unprocessed clauses: 6292
% 7.67/3.76 % ...number of literals in the above : 23424
% 7.67/3.76 % Current number of archived formulas : 0
% 7.67/3.76 % Current number of archived clauses : 960
% 7.67/3.76 % Clause-clause subsumption calls (NU) : 526133
% 7.67/3.76 % Rec. Clause-clause subsumption calls : 147710
% 7.67/3.76 % Non-unit clause-clause subsumptions : 952
% 7.67/3.76 % Unit Clause-clause subsumption calls : 17353
% 7.67/3.76 % Rewrite failures with RHS unbound : 0
% 7.67/3.76 % BW rewrite match attempts : 127
% 7.67/3.76 % BW rewrite match successes : 66
% 7.67/3.76 % Condensation attempts : 0
% 7.67/3.76 % Condensation successes : 0
% 7.67/3.76 % Termbank termtop insertions : 2766696
% 7.67/3.76 % Search garbage collected termcells : 787855
% 7.67/3.76
% 7.67/3.76 % -------------------------------------------------
% 7.67/3.76 % User time : 0.896 s
% 7.67/3.76 % System time : 0.252 s
% 7.67/3.76 % Total time : 1.148 s
% 7.67/3.76 % Maximum resident set size: 149236 pages
% 7.67/3.76
% 7.67/3.76 % -------------------------------------------------
% 7.67/3.76 % User time : 4.080 s
% 7.67/3.76 % System time : 0.627 s
% 7.67/3.76 % Total time : 4.707 s
% 7.67/3.76 % Maximum resident set size: 121344 pages
% 7.67/3.76 % E exiting
%------------------------------------------------------------------------------