%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP010+4 : 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 : n005.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 12:53:35 PM UTC 2026
% Result : Theorem 2.19s 3.00s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 0 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 4 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
! [X1,X2,X120,X47] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
fof(c_0_1,negated_conjecture,
~ ! [X1,X2,X120,X47] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47)))) ),
inference(assume_negation,[status(cth)],[thm_2Ecardinal_2ECARD__NOT__LE]) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X120,X47] : $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
% 0.00/0.03 % Problem : ITP010+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 21:44:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.19/3.00 % Version: 3.5.1
% 2.19/3.00 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.19/3.00 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 2.19/3.00 % Starting new_bool_3 with 894s (3) cores
% 2.19/3.00 % Starting new_bool_1 with 894s (3) cores
% 2.19/3.00 % Starting sh5l with 298s (1) cores
% 2.19/3.00 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 2.19/3.00 % new_bool_3 with pid 1794086 completed with status 0
% 2.19/3.00 % Result found by new_bool_3
% 2.19/3.00 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.19/3.00 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 2.19/3.00 % Starting new_bool_3 with 894s (3) cores
% 2.19/3.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.19/3.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.19/3.00 % Search class: FGHSM-SMLM33-DFFFFFNN
% 2.19/3.00 % Scheduled 7 strats onto 3 cores with 894 seconds (894 total)
% 2.19/3.00 % Starting SubtermCWHack with 81s (1) cores
% 2.19/3.00 % Starting new_bool_3 with 90s (1) cores
% 2.19/3.00 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 81s (1) cores
% 2.19/3.00 % U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 1794092 completed with status 0
% 2.19/3.00 % Result found by U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 2.19/3.00 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.19/3.00 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 2.19/3.00 % Starting new_bool_3 with 894s (3) cores
% 2.19/3.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.19/3.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.19/3.00 % Search class: FGHSM-SMLM33-DFFFFFNN
% 2.19/3.00 % Scheduled 7 strats onto 3 cores with 894 seconds (894 total)
% 2.19/3.00 % Starting SubtermCWHack with 81s (1) cores
% 2.19/3.00 % Starting new_bool_3 with 90s (1) cores
% 2.19/3.00 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 81s (1) cores
% 2.19/3.00 % Preprocessing time : 0.120 s
% 2.19/3.00 % Presaturation interreduction done
% 2.19/3.00
% 2.19/3.00 % Proof found!
% 2.19/3.00 % SZS status Theorem
% 2.19/3.00 % SZS output start CNFRefutation
% See solution above
% 2.19/3.00 % Parsed axioms : 10764
% 2.19/3.00 % Removed by relevancy pruning/SinE : 9331
% 2.19/3.00 % Initial clauses : 3617
% 2.19/3.00 % Removed in clause preprocessing : 836
% 2.19/3.00 % Initial clauses in saturation : 2781
% 2.19/3.00 % Processed clauses : 1
% 2.19/3.00 % ...of these trivial : 0
% 2.19/3.00 % ...subsumed : 0
% 2.19/3.00 % ...remaining for further processing : 0
% 2.19/3.00 % Other redundant clauses eliminated : 0
% 2.19/3.00 % Clauses deleted for lack of memory : 0
% 2.19/3.00 % Backward-subsumed : 0
% 2.19/3.00 % Backward-rewritten : 0
% 2.19/3.00 % Generated clauses : 0
% 2.19/3.00 % ...of the previous two non-redundant : 0
% 2.19/3.00 % ...aggressively subsumed : 0
% 2.19/3.00 % Contextual simplify-reflections : 0
% 2.19/3.00 % Paramodulations : 0
% 2.19/3.00 % Factorizations : 0
% 2.19/3.00 % NegExts : 0
% 2.19/3.00 % Equation resolutions : 0
% 2.19/3.00 % Disequality decompositions : 0
% 2.19/3.00 % Total rewrite steps : 0
% 2.19/3.00 % ...of those cached : 0
% 2.19/3.00 % Propositional unsat checks : 0
% 2.19/3.00 % Propositional check models : 0
% 2.19/3.00 % Propositional check unsatisfiable : 0
% 2.19/3.00 % Propositional clauses : 0
% 2.19/3.00 % Propositional clauses after purity: 0
% 2.19/3.00 % Propositional unsat core size : 0
% 2.19/3.00 % Propositional preprocessing time : 0.000
% 2.19/3.00 % Propositional encoding time : 0.000
% 2.19/3.00 % Propositional solver time : 0.000
% 2.19/3.00 % Success case prop preproc time : 0.000
% 2.19/3.00 % Success case prop encoding time : 0.000
% 2.19/3.00 % Success case prop solver time : 0.000
% 2.19/3.00 % Current number of processed clauses : 0
% 2.19/3.00 % Positive orientable unit clauses : 0
% 2.19/3.00 % Positive unorientable unit clauses: 0
% 2.19/3.00 % Negative unit clauses : 0
% 2.19/3.00 % Non-unit-clauses : 0
% 2.19/3.00 % Current number of unprocessed clauses: 2780
% 2.19/3.00 % ...number of literals in the above : 8384
% 2.19/3.00 % Current number of archived formulas : 0
% 2.19/3.00 % Current number of archived clauses : 0
% 2.19/3.00 % Clause-clause subsumption calls (NU) : 0
% 2.19/3.00 % Rec. Clause-clause subsumption calls : 0
% 2.19/3.00 % Non-unit clause-clause subsumptions : 0
% 2.19/3.00 % Unit Clause-clause subsumption calls : 0
% 2.19/3.00 % Rewrite failures with RHS unbound : 0
% 2.19/3.00 % BW rewrite match attempts : 0
% 2.19/3.00 % BW rewrite match successes : 0
% 2.19/3.00 % Condensation attempts : 0
% 2.19/3.00 % Condensation successes : 0
% 2.19/3.00 % Termbank termtop insertions : 1197501
% 2.19/3.00 % Search garbage collected termcells : 237950
% 2.19/3.00
% 2.19/3.00 % -------------------------------------------------
% 2.19/3.00 % User time : 0.441 s
% 2.19/3.00 % System time : 0.090 s
% 2.19/3.00 % Total time : 0.531 s
% 2.19/3.00 % Maximum resident set size: 43624 pages
% 2.19/3.00
% 2.19/3.00 % -------------------------------------------------
% 2.19/3.00 % User time : 2.612 s
% 2.19/3.00 % System time : 0.224 s
% 2.19/3.00 % Total time : 2.836 s
% 2.19/3.00 % Maximum resident set size: 37632 pages
% 2.19/3.00 % E exiting
%------------------------------------------------------------------------------