%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP010+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 12:55:45 PM UTC 2026
% Result : Theorem 1.58s 1.26s
% Output : CNFRefutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 20 ( 7 ~; 0 |; 0 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> ! [X42] :
( mem(X42,arr(X11,bool))
=> ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42))
<=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).
fof(c_0_1,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> ! [X42] :
( mem(X42,arr(X11,bool))
=> ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42))
<=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ecardinal_2ECARD__NOT__LE]) ).
fof(c_0_2,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> ! [X42] : $true ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ $true,
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])]) ).
cnf(c_0_4,negated_conjecture,
$false,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
$false,
inference(cn,[status(thm)],[c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP010+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 20 21:44:52 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.33 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
% 1.58/1.26 % Version: 3.5.1
% 1.58/1.26 % Preprocessing class: FMLLSMLLSSSNFFN.
% 1.58/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/1.26 % Starting new_bool_3 with 900s (3) cores
% 1.58/1.26 % Starting new_bool_1 with 900s (3) cores
% 1.58/1.26 % Starting sh5l with 300s (1) cores
% 1.58/1.26 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 1.58/1.26 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 891616 completed with status 0
% 1.58/1.26 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 1.58/1.26 % Preprocessing class: FMLLSMLLSSSNFFN.
% 1.58/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/1.26 % Starting new_bool_3 with 900s (3) cores
% 1.58/1.26 % Starting new_bool_1 with 900s (3) cores
% 1.58/1.26 % Starting sh5l with 300s (1) cores
% 1.58/1.26 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 1.58/1.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.58/1.26 % SinE strategy is gf120_h_gu_RUU_F100_L00500
% 1.58/1.26 % Search class: FGHSF-SMLM33-DFFFFFNN
% 1.58/1.26 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 1.58/1.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.58/1.26 % Starting SubtermCWHack with 28s (1) cores
% 1.58/1.26 % SubtermCWHack with pid 891617 completed with status 0
% 1.58/1.26 % Result found by SubtermCWHack
% 1.58/1.26 % Preprocessing class: FMLLSMLLSSSNFFN.
% 1.58/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/1.26 % Starting new_bool_3 with 900s (3) cores
% 1.58/1.26 % Starting new_bool_1 with 900s (3) cores
% 1.58/1.26 % Starting sh5l with 300s (1) cores
% 1.58/1.26 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 1.58/1.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.58/1.26 % SinE strategy is gf120_h_gu_RUU_F100_L00500
% 1.58/1.26 % Search class: FGHSF-SMLM33-DFFFFFNN
% 1.58/1.26 % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 1.58/1.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.58/1.26 % Starting SubtermCWHack with 28s (1) cores
% 1.58/1.26 % Preprocessing time : 0.038 s
% 1.58/1.26
% 1.58/1.26 % Proof found!
% 1.58/1.26 % SZS status Theorem
% 1.58/1.26 % SZS output start CNFRefutation
% See solution above
% 1.58/1.26 % Parsed axioms : 8598
% 1.58/1.26 % Removed by relevancy pruning/SinE : 8097
% 1.58/1.26 % Initial clauses : 2537
% 1.58/1.26 % Removed in clause preprocessing : 1001
% 1.58/1.26 % Initial clauses in saturation : 1536
% 1.58/1.26 % Processed clauses : 1
% 1.58/1.26 % ...of these trivial : 0
% 1.58/1.26 % ...subsumed : 0
% 1.58/1.26 % ...remaining for further processing : 0
% 1.58/1.26 % Other redundant clauses eliminated : 0
% 1.58/1.26 % Clauses deleted for lack of memory : 0
% 1.58/1.26 % Backward-subsumed : 0
% 1.58/1.26 % Backward-rewritten : 0
% 1.58/1.26 % Generated clauses : 0
% 1.58/1.26 % ...of the previous two non-redundant : 0
% 1.58/1.26 % ...aggressively subsumed : 0
% 1.58/1.26 % Contextual simplify-reflections : 0
% 1.58/1.26 % Paramodulations : 0
% 1.58/1.26 % Factorizations : 0
% 1.58/1.26 % NegExts : 0
% 1.58/1.26 % Equation resolutions : 0
% 1.58/1.26 % Disequality decompositions : 0
% 1.58/1.26 % Total rewrite steps : 0
% 1.58/1.26 % ...of those cached : 0
% 1.58/1.26 % Propositional unsat checks : 0
% 1.58/1.26 % Propositional check models : 0
% 1.58/1.26 % Propositional check unsatisfiable : 0
% 1.58/1.26 % Propositional clauses : 0
% 1.58/1.26 % Propositional clauses after purity: 0
% 1.58/1.26 % Propositional unsat core size : 0
% 1.58/1.26 % Propositional preprocessing time : 0.000
% 1.58/1.26 % Propositional encoding time : 0.000
% 1.58/1.26 % Propositional solver time : 0.000
% 1.58/1.26 % Success case prop preproc time : 0.000
% 1.58/1.26 % Success case prop encoding time : 0.000
% 1.58/1.26 % Success case prop solver time : 0.000
% 1.58/1.26 % Current number of processed clauses : 0
% 1.58/1.26 % Positive orientable unit clauses : 0
% 1.58/1.26 % Positive unorientable unit clauses: 0
% 1.58/1.26 % Negative unit clauses : 0
% 1.58/1.26 % Non-unit-clauses : 0
% 1.58/1.26 % Current number of unprocessed clauses: 1535
% 1.58/1.26 % ...number of literals in the above : 10202
% 1.58/1.26 % Current number of archived formulas : 0
% 1.58/1.26 % Current number of archived clauses : 0
% 1.58/1.26 % Clause-clause subsumption calls (NU) : 0
% 1.58/1.26 % Rec. Clause-clause subsumption calls : 0
% 1.58/1.26 % Non-unit clause-clause subsumptions : 0
% 1.58/1.26 % Unit Clause-clause subsumption calls : 0
% 1.58/1.26 % Rewrite failures with RHS unbound : 0
% 1.58/1.26 % BW rewrite match attempts : 0
% 1.58/1.26 % BW rewrite match successes : 0
% 1.58/1.26 % Condensation attempts : 0
% 1.58/1.26 % Condensation successes : 0
% 1.58/1.26 % Termbank termtop insertions : 655613
% 1.58/1.26 % Search garbage collected termcells : 259273
% 1.58/1.26
% 1.58/1.26 % -------------------------------------------------
% 1.58/1.26 % User time : 0.227 s
% 1.58/1.26 % System time : 0.049 s
% 1.58/1.26 % Total time : 0.276 s
% 1.58/1.26 % Maximum resident set size: 45800 pages
% 1.58/1.26
% 1.58/1.26 % -------------------------------------------------
% 1.58/1.26 % User time : 0.834 s
% 1.58/1.26 % System time : 0.085 s
% 1.58/1.26 % Total time : 0.919 s
% 1.58/1.26 % Maximum resident set size: 38400 pages
% 1.58/1.26 % E exiting
%------------------------------------------------------------------------------