%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP010+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:55:44 PM UTC 2026
% Result : Theorem 0.12s 0.44s
% Output : CNFRefutation 0.12s
% 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)
=> ! [X10] :
( ne(X10)
=> ! [X14] :
( mem(X14,arr(X9,bool))
=> ! [X15] :
( mem(X15,arr(X10,bool))
=> ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X10),X14),X15))
<=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X10),X14),X15)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).
fof(c_0_1,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ! [X14] :
( mem(X14,arr(X9,bool))
=> ! [X15] :
( mem(X15,arr(X10,bool))
=> ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X10),X14),X15))
<=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X10),X14),X15)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ecardinal_2ECARD__NOT__LE]) ).
fof(c_0_2,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ! [X14] :
( mem(X14,arr(X9,bool))
=> ! [X15] : $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
% 0.00/0.02 % Problem : ITP010+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 21:44:43 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.44 % Version: 3.5.1
% 0.12/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 89768 completed with status 0
% 0.12/0.44 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.12/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FGHSF-FFMM31-MFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.44 % SubtermCWHack with pid 89775 completed with status 0
% 0.12/0.44 % Result found by SubtermCWHack
% 0.12/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FGHSF-FFMM31-MFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Preprocessing time : 0.002 s
% 0.12/0.44
% 0.12/0.44 % Proof found!
% 0.12/0.44 % SZS status Theorem
% 0.12/0.44 % SZS output start CNFRefutation
% See solution above
% 0.12/0.44 % Parsed axioms : 41
% 0.12/0.44 % Removed by relevancy pruning/SinE : 0
% 0.12/0.44 % Initial clauses : 160
% 0.12/0.44 % Removed in clause preprocessing : 95
% 0.12/0.44 % Initial clauses in saturation : 65
% 0.12/0.44 % Processed clauses : 1
% 0.12/0.44 % ...of these trivial : 0
% 0.12/0.44 % ...subsumed : 0
% 0.12/0.44 % ...remaining for further processing : 0
% 0.12/0.44 % Other redundant clauses eliminated : 0
% 0.12/0.44 % Clauses deleted for lack of memory : 0
% 0.12/0.44 % Backward-subsumed : 0
% 0.12/0.44 % Backward-rewritten : 0
% 0.12/0.44 % Generated clauses : 0
% 0.12/0.44 % ...of the previous two non-redundant : 0
% 0.12/0.44 % ...aggressively subsumed : 0
% 0.12/0.44 % Contextual simplify-reflections : 0
% 0.12/0.44 % Paramodulations : 0
% 0.12/0.44 % Factorizations : 0
% 0.12/0.44 % NegExts : 0
% 0.12/0.44 % Equation resolutions : 0
% 0.12/0.44 % Disequality decompositions : 0
% 0.12/0.44 % Total rewrite steps : 0
% 0.12/0.44 % ...of those cached : 0
% 0.12/0.44 % Propositional unsat checks : 0
% 0.12/0.44 % Propositional check models : 0
% 0.12/0.44 % Propositional check unsatisfiable : 0
% 0.12/0.44 % Propositional clauses : 0
% 0.12/0.44 % Propositional clauses after purity: 0
% 0.12/0.44 % Propositional unsat core size : 0
% 0.12/0.44 % Propositional preprocessing time : 0.000
% 0.12/0.44 % Propositional encoding time : 0.000
% 0.12/0.44 % Propositional solver time : 0.000
% 0.12/0.44 % Success case prop preproc time : 0.000
% 0.12/0.44 % Success case prop encoding time : 0.000
% 0.12/0.44 % Success case prop solver time : 0.000
% 0.12/0.44 % Current number of processed clauses : 0
% 0.12/0.44 % Positive orientable unit clauses : 0
% 0.12/0.44 % Positive unorientable unit clauses: 0
% 0.12/0.44 % Negative unit clauses : 0
% 0.12/0.44 % Non-unit-clauses : 0
% 0.12/0.44 % Current number of unprocessed clauses: 64
% 0.12/0.44 % ...number of literals in the above : 247
% 0.12/0.44 % Current number of archived formulas : 0
% 0.12/0.44 % Current number of archived clauses : 0
% 0.12/0.44 % Clause-clause subsumption calls (NU) : 0
% 0.12/0.44 % Rec. Clause-clause subsumption calls : 0
% 0.12/0.44 % Non-unit clause-clause subsumptions : 0
% 0.12/0.44 % Unit Clause-clause subsumption calls : 0
% 0.12/0.44 % Rewrite failures with RHS unbound : 0
% 0.12/0.44 % BW rewrite match attempts : 0
% 0.12/0.44 % BW rewrite match successes : 0
% 0.12/0.44 % Condensation attempts : 0
% 0.12/0.44 % Condensation successes : 0
% 0.12/0.44 % Termbank termtop insertions : 9726
% 0.12/0.44 % Search garbage collected termcells : 2170
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.007 s
% 0.12/0.44 % System time : 0.002 s
% 0.12/0.44 % Total time : 0.009 s
% 0.12/0.44 % Maximum resident set size: 3644 pages
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.012 s
% 0.12/0.44 % System time : 0.013 s
% 0.12/0.44 % Total time : 0.026 s
% 0.12/0.44 % Maximum resident set size: 4864 pages
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------