%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU435+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 3.03s 6.81s
% Output : CNFRefutation 3.03s
% 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/sandbox/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/sandbox/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,
! [X54,X55,X56,X57,X58,X59] :
( m1_subset_1(a_6_0_relset_2(X54,X55,X56,X57,X58,X59),k1_zfmisc_1(k1_zfmisc_1(X58)))
| ~ m1_subset_1(X59,k1_zfmisc_1(X57))
| ~ m1_subset_1(X56,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X54,X55)))) ),
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
% 0.00/0.03 % Problem : SEU435+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.37 % Computer : n019.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Mon Sep 21 06:31:18 UTC 2026
% 0.12/5.37 % CPUTime :
% 0.12/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 3.03/6.81 % Version: 3.5.1
% 3.03/6.81 % Preprocessing class: FMLLMMLLSSSNFFN.
% 3.03/6.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.03/6.81 % Starting new_bool_3 with 900s (3) cores
% 3.03/6.81 % Starting new_bool_1 with 900s (3) cores
% 3.03/6.81 % Starting sh5l with 300s (1) cores
% 3.03/6.81 % Starting G-E--_211_C18_F1_AE_CS_SP_S0Y with 300s (1) cores
% 3.03/6.81 % new_bool_3 with pid 1916255 completed with status 0
% 3.03/6.81 % Result found by new_bool_3
% 3.03/6.81 % Preprocessing class: FMLLMMLLSSSNFFN.
% 3.03/6.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.03/6.81 % Starting new_bool_3 with 900s (3) cores
% 3.03/6.81 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.03/6.81 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.03/6.81 % Search class: FGHSM-FSLM32-MFFFFFNN
% 3.03/6.81 % Scheduled 12 strats onto 3 cores with 900 seconds (900 total)
% 3.03/6.81 % Starting SubtermCWHack with 82s (1) cores
% 3.03/6.81 % Starting new_bool_3 with 91s (1) cores
% 3.03/6.81 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 74s (1) cores
% 3.03/6.81 % G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 1916305 completed with status 0
% 3.03/6.81 % Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 3.03/6.81 % Preprocessing class: FMLLMMLLSSSNFFN.
% 3.03/6.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.03/6.81 % Starting new_bool_3 with 900s (3) cores
% 3.03/6.81 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.03/6.81 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.03/6.81 % Search class: FGHSM-FSLM32-MFFFFFNN
% 3.03/6.81 % Scheduled 12 strats onto 3 cores with 900 seconds (900 total)
% 3.03/6.81 % Starting SubtermCWHack with 82s (1) cores
% 3.03/6.81 % Starting new_bool_3 with 91s (1) cores
% 3.03/6.81 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 74s (1) cores
% 3.03/6.81 % Preprocessing time : 0.033 s
% 3.03/6.81 % Presaturation interreduction done
% 3.03/6.81
% 3.03/6.81 % Proof found!
% 3.03/6.81 % SZS status Theorem
% 3.03/6.81 % SZS output start CNFRefutation
% See solution above
% 3.03/6.81 % Parsed axioms : 19109
% 3.03/6.81 % Removed by relevancy pruning/SinE : 18839
% 3.03/6.81 % Initial clauses : 445
% 3.03/6.81 % Removed in clause preprocessing : 15
% 3.03/6.81 % Initial clauses in saturation : 430
% 3.03/6.81 % Processed clauses : 672
% 3.03/6.81 % ...of these trivial : 6
% 3.03/6.81 % ...subsumed : 26
% 3.03/6.81 % ...remaining for further processing : 640
% 3.03/6.81 % Other redundant clauses eliminated : 54
% 3.03/6.81 % Clauses deleted for lack of memory : 0
% 3.03/6.81 % Backward-subsumed : 1
% 3.03/6.81 % Backward-rewritten : 0
% 3.03/6.81 % Generated clauses : 1352
% 3.03/6.81 % ...of the previous two non-redundant : 1179
% 3.03/6.81 % ...aggressively subsumed : 0
% 3.03/6.81 % Contextual simplify-reflections : 8
% 3.03/6.81 % Paramodulations : 1299
% 3.03/6.81 % Factorizations : 0
% 3.03/6.81 % NegExts : 0
% 3.03/6.81 % Equation resolutions : 57
% 3.03/6.81 % Disequality decompositions : 0
% 3.03/6.81 % Total rewrite steps : 345
% 3.03/6.81 % ...of those cached : 272
% 3.03/6.81 % Propositional unsat checks : 0
% 3.03/6.81 % Propositional check models : 0
% 3.03/6.81 % Propositional check unsatisfiable : 0
% 3.03/6.81 % Propositional clauses : 0
% 3.03/6.81 % Propositional clauses after purity: 0
% 3.03/6.81 % Propositional unsat core size : 0
% 3.03/6.81 % Propositional preprocessing time : 0.000
% 3.03/6.81 % Propositional encoding time : 0.000
% 3.03/6.81 % Propositional solver time : 0.000
% 3.03/6.81 % Success case prop preproc time : 0.000
% 3.03/6.81 % Success case prop encoding time : 0.000
% 3.03/6.81 % Success case prop solver time : 0.000
% 3.03/6.81 % Current number of processed clauses : 205
% 3.03/6.81 % Positive orientable unit clauses : 43
% 3.03/6.81 % Positive unorientable unit clauses: 0
% 3.03/6.81 % Negative unit clauses : 6
% 3.03/6.81 % Non-unit-clauses : 156
% 3.03/6.81 % Current number of unprocessed clauses: 1315
% 3.03/6.81 % ...number of literals in the above : 4435
% 3.03/6.81 % Current number of archived formulas : 0
% 3.03/6.81 % Current number of archived clauses : 393
% 3.03/6.81 % Clause-clause subsumption calls (NU) : 50705
% 3.03/6.81 % Rec. Clause-clause subsumption calls : 18302
% 3.03/6.81 % Non-unit clause-clause subsumptions : 33
% 3.03/6.81 % Unit Clause-clause subsumption calls : 1395
% 3.03/6.81 % Rewrite failures with RHS unbound : 0
% 3.03/6.81 % BW rewrite match attempts : 7
% 3.03/6.81 % BW rewrite match successes : 0
% 3.03/6.81 % Condensation attempts : 0
% 3.03/6.81 % Condensation successes : 0
% 3.03/6.81 % Termbank termtop insertions : 602194
% 3.03/6.81 % Search garbage collected termcells : 189037
% 3.03/6.81
% 3.03/6.81 % -------------------------------------------------
% 3.03/6.81 % User time : 0.275 s
% 3.03/6.81 % System time : 0.115 s
% 3.03/6.81 % Total time : 0.390 s
% 3.03/6.81 % Maximum resident set size: 40856 pages
% 3.03/6.81
% 3.03/6.81 % -------------------------------------------------
% 3.03/6.81 % User time : 1.474 s
% 3.03/6.81 % System time : 0.247 s
% 3.03/6.81 % Total time : 1.721 s
% 3.03/6.81 % Maximum resident set size: 32768 pages
% 3.03/6.81 % E exiting
%------------------------------------------------------------------------------