%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 02:24:55 PM UTC 2026
% Result : Theorem 1.65s 0.78s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_waybel_7,conjecture,
! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(t1_yellow_1,lemma,
! [X1] :
( the_InternalRel(incl_POSet(X1)) = inclusion_order(X1)
& the_carrier(incl_POSet(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_yellow_1) ).
fof(t4_yellow_1,lemma,
! [X1] : boole_POSet(X1) = incl_POSet(powerset(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
inference(assume_negation,[status(cth)],[t4_waybel_7]) ).
fof(c_0_4,lemma,
! [X908] :
( the_InternalRel(incl_POSet(X908)) = inclusion_order(X908)
& the_carrier(incl_POSet(X908)) = X908 ),
inference(variable_rename,[status(thm)],[t1_yellow_1]) ).
fof(c_0_5,lemma,
! [X73] : boole_POSet(X73) = incl_POSet(powerset(X73)),
inference(variable_rename,[status(thm)],[t4_yellow_1]) ).
fof(c_0_6,negated_conjecture,
the_carrier(boole_POSet(esk1_0)) != powerset(esk1_0),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_7,lemma,
the_carrier(incl_POSet(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,lemma,
boole_POSet(X1) = incl_POSet(powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
the_carrier(boole_POSet(esk1_0)) != powerset(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,lemma,
the_carrier(boole_POSet(X1)) = powerset(X1),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n017.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 06:13:26 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 1.65/0.78 % Version: 3.5.1
% 1.65/0.78 % Preprocessing class: FSLMSMSSSSSNFFN.
% 1.65/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.65/0.78 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 1.65/0.78 % Starting new_bool_3 with 600s (2) cores
% 1.65/0.78 % Starting new_bool_1 with 600s (2) cores
% 1.65/0.78 % Starting sh5l with 300s (1) cores
% 1.65/0.78 % sh5l with pid 1607961 completed with status 0
% 1.65/0.78 % Result found by sh5l
% 1.65/0.78 % Preprocessing class: FSLMSMSSSSSNFFN.
% 1.65/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.65/0.78 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 1.65/0.78 % Starting new_bool_3 with 600s (2) cores
% 1.65/0.78 % Starting new_bool_1 with 600s (2) cores
% 1.65/0.78 % Starting sh5l with 300s (1) cores
% 1.65/0.78 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.65/0.78 % SinE strategy is gf500_gu_R04_F100_L20000
% 1.65/0.78 % Search class: FGHSM-SMLM32-MFFFFFNN
% 1.65/0.78 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.65/0.78 % Starting SubtermCWHack with 28s (1) cores
% 1.65/0.78 % SubtermCWHack with pid 1607999 completed with status 0
% 1.65/0.78 % Result found by SubtermCWHack
% 1.65/0.78 % Preprocessing class: FSLMSMSSSSSNFFN.
% 1.65/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.65/0.78 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 1.65/0.78 % Starting new_bool_3 with 600s (2) cores
% 1.65/0.78 % Starting new_bool_1 with 600s (2) cores
% 1.65/0.78 % Starting sh5l with 300s (1) cores
% 1.65/0.78 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.65/0.78 % SinE strategy is gf500_gu_R04_F100_L20000
% 1.65/0.78 % Search class: FGHSM-SMLM32-MFFFFFNN
% 1.65/0.78 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.65/0.78 % Starting SubtermCWHack with 28s (1) cores
% 1.65/0.78 % Preprocessing time : 0.047 s
% 1.65/0.78
% 1.65/0.78 % Proof found!
% 1.65/0.78 % SZS status Theorem
% 1.65/0.78 % SZS output start CNFRefutation
% See solution above
% 1.65/0.78 % Parsed axioms : 843
% 1.65/0.78 % Removed by relevancy pruning/SinE : 79
% 1.65/0.78 % Initial clauses : 3622
% 1.65/0.78 % Removed in clause preprocessing : 107
% 1.65/0.78 % Initial clauses in saturation : 3515
% 1.65/0.78 % Processed clauses : 912
% 1.65/0.78 % ...of these trivial : 103
% 1.65/0.78 % ...subsumed : 98
% 1.65/0.78 % ...remaining for further processing : 711
% 1.65/0.78 % Other redundant clauses eliminated : 14
% 1.65/0.78 % Clauses deleted for lack of memory : 0
% 1.65/0.78 % Backward-subsumed : 1
% 1.65/0.78 % Backward-rewritten : 30
% 1.65/0.78 % Generated clauses : 413
% 1.65/0.78 % ...of the previous two non-redundant : 221
% 1.65/0.78 % ...aggressively subsumed : 0
% 1.65/0.78 % Contextual simplify-reflections : 1
% 1.65/0.78 % Paramodulations : 399
% 1.65/0.78 % Factorizations : 0
% 1.65/0.78 % NegExts : 0
% 1.65/0.78 % Equation resolutions : 14
% 1.65/0.78 % Disequality decompositions : 0
% 1.65/0.78 % Total rewrite steps : 446
% 1.65/0.78 % ...of those cached : 326
% 1.65/0.78 % Propositional unsat checks : 0
% 1.65/0.78 % Propositional check models : 0
% 1.65/0.78 % Propositional check unsatisfiable : 0
% 1.65/0.78 % Propositional clauses : 0
% 1.65/0.78 % Propositional clauses after purity: 0
% 1.65/0.78 % Propositional unsat core size : 0
% 1.65/0.78 % Propositional preprocessing time : 0.000
% 1.65/0.78 % Propositional encoding time : 0.000
% 1.65/0.78 % Propositional solver time : 0.000
% 1.65/0.78 % Success case prop preproc time : 0.000
% 1.65/0.78 % Success case prop encoding time : 0.000
% 1.65/0.78 % Success case prop solver time : 0.000
% 1.65/0.78 % Current number of processed clauses : 672
% 1.65/0.78 % Positive orientable unit clauses : 438
% 1.65/0.78 % Positive unorientable unit clauses: 0
% 1.65/0.78 % Negative unit clauses : 45
% 1.65/0.78 % Non-unit-clauses : 189
% 1.65/0.78 % Current number of unprocessed clauses: 2824
% 1.65/0.78 % ...number of literals in the above : 15547
% 1.65/0.78 % Current number of archived formulas : 0
% 1.65/0.78 % Current number of archived clauses : 31
% 1.65/0.78 % Clause-clause subsumption calls (NU) : 11034
% 1.65/0.78 % Rec. Clause-clause subsumption calls : 8901
% 1.65/0.78 % Non-unit clause-clause subsumptions : 54
% 1.65/0.78 % Unit Clause-clause subsumption calls : 2646
% 1.65/0.78 % Rewrite failures with RHS unbound : 0
% 1.65/0.78 % BW rewrite match attempts : 13
% 1.65/0.78 % BW rewrite match successes : 9
% 1.65/0.78 % Condensation attempts : 0
% 1.65/0.78 % Condensation successes : 0
% 1.65/0.78 % Termbank termtop insertions : 235099
% 1.65/0.78 % Search garbage collected termcells : 46612
% 1.65/0.78
% 1.65/0.78 % -------------------------------------------------
% 1.65/0.78 % User time : 0.277 s
% 1.65/0.78 % System time : 0.035 s
% 1.65/0.78 % Total time : 0.313 s
% 1.65/0.78 % Maximum resident set size: 13780 pages
% 1.65/0.78
% 1.65/0.78 % -------------------------------------------------
% 1.65/0.78 % User time : 0.307 s
% 1.65/0.78 % System time : 0.043 s
% 1.65/0.78 % Total time : 0.349 s
% 1.65/0.78 % Maximum resident set size: 5888 pages
% 1.65/0.78 % E exiting
%------------------------------------------------------------------------------