TSTP Solution File: ITP010_1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP010_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:08:47 EDT 2024
% Result : Theorem 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 15 ( 4 unt; 10 typ; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 4 sgn 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
d: $tType ).
tff(decl_sort2,type,
u: $tType ).
tff(decl_sort3,type,
du: $tType ).
tff(decl_sort4,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(decl_22,type,
tyop_2Emin_2Ebool: d ).
tff(decl_23,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(decl_24,type,
s: ( d * u ) > du ).
tff(decl_26,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_45,type,
c_2Ecardinal_2Ecardleq_2E2: ( du * du ) > u ).
tff(decl_63,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
! [X1: d,X2: d,X31: u,X32: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X31),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X32)))))
<=> ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X31),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X32))))) ),
file('/export/starexec/sandbox/tmp/tmp.X3zT2FZyMX/E---3.1_17010.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
tff(c_0_1,negated_conjecture,
~ ! [X1: d,X2: d,X31: u,X32: u] : $true,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Ecardinal_2ECARD__NOT__LE])]) ).
fof(c_0_2,negated_conjecture,
~ $true,
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
cnf(c_0_3,negated_conjecture,
$false,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
$false,
inference(cn,[status(thm)],[c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ITP010_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n007.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 12:05:05 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.19/0.50 Running first-order model finding
% 0.19/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.X3zT2FZyMX/E---3.1_17010.p
% 0.19/0.51 # Version: 3.1.0
% 0.19/0.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51 # Starting sh5l with 300s (1) cores
% 0.19/0.51 # new_bool_1 with pid 17089 completed with status 0
% 0.19/0.51 # Result found by new_bool_1
% 0.19/0.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51 # Search class: FGHSF-FFMF32-MFFFFFNN
% 0.19/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51 # Starting G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.51 # G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17092 completed with status 0
% 0.19/0.51 # Result found by G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51 # Search class: FGHSF-FFMF32-MFFFFFNN
% 0.19/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51 # Starting G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.51 # Preprocessing time : 0.003 s
% 0.19/0.51 # Presaturation interreduction done
% 0.19/0.51
% 0.19/0.51 # Proof found!
% 0.19/0.51 # SZS status Theorem
% 0.19/0.51 # SZS output start CNFRefutation
% See solution above
% 0.19/0.51 # Parsed axioms : 98
% 0.19/0.51 # Removed by relevancy pruning/SinE : 90
% 0.19/0.51 # Initial clauses : 59
% 0.19/0.51 # Removed in clause preprocessing : 32
% 0.19/0.51 # Initial clauses in saturation : 27
% 0.19/0.51 # Processed clauses : 1
% 0.19/0.51 # ...of these trivial : 0
% 0.19/0.51 # ...subsumed : 0
% 0.19/0.51 # ...remaining for further processing : 0
% 0.19/0.51 # Other redundant clauses eliminated : 0
% 0.19/0.51 # Clauses deleted for lack of memory : 0
% 0.19/0.51 # Backward-subsumed : 0
% 0.19/0.51 # Backward-rewritten : 0
% 0.19/0.51 # Generated clauses : 0
% 0.19/0.51 # ...of the previous two non-redundant : 0
% 0.19/0.51 # ...aggressively subsumed : 0
% 0.19/0.51 # Contextual simplify-reflections : 0
% 0.19/0.51 # Paramodulations : 0
% 0.19/0.51 # Factorizations : 0
% 0.19/0.51 # NegExts : 0
% 0.19/0.51 # Equation resolutions : 0
% 0.19/0.51 # Disequality decompositions : 0
% 0.19/0.51 # Total rewrite steps : 0
% 0.19/0.51 # ...of those cached : 0
% 0.19/0.51 # Propositional unsat checks : 0
% 0.19/0.51 # Propositional check models : 0
% 0.19/0.51 # Propositional check unsatisfiable : 0
% 0.19/0.51 # Propositional clauses : 0
% 0.19/0.51 # Propositional clauses after purity: 0
% 0.19/0.51 # Propositional unsat core size : 0
% 0.19/0.51 # Propositional preprocessing time : 0.000
% 0.19/0.51 # Propositional encoding time : 0.000
% 0.19/0.51 # Propositional solver time : 0.000
% 0.19/0.51 # Success case prop preproc time : 0.000
% 0.19/0.51 # Success case prop encoding time : 0.000
% 0.19/0.51 # Success case prop solver time : 0.000
% 0.19/0.51 # Current number of processed clauses : 0
% 0.19/0.51 # Positive orientable unit clauses : 0
% 0.19/0.51 # Positive unorientable unit clauses: 0
% 0.19/0.51 # Negative unit clauses : 0
% 0.19/0.51 # Non-unit-clauses : 0
% 0.19/0.51 # Current number of unprocessed clauses: 26
% 0.19/0.51 # ...number of literals in the above : 89
% 0.19/0.51 # Current number of archived formulas : 0
% 0.19/0.51 # Current number of archived clauses : 0
% 0.19/0.51 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.51 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.51 # Non-unit clause-clause subsumptions : 0
% 0.19/0.51 # Unit Clause-clause subsumption calls : 0
% 0.19/0.51 # Rewrite failures with RHS unbound : 0
% 0.19/0.51 # BW rewrite match attempts : 0
% 0.19/0.51 # BW rewrite match successes : 0
% 0.19/0.51 # Condensation attempts : 0
% 0.19/0.51 # Condensation successes : 0
% 0.19/0.51 # Termbank termtop insertions : 2985
% 0.19/0.51 # Search garbage collected termcells : 848
% 0.19/0.51
% 0.19/0.51 # -------------------------------------------------
% 0.19/0.51 # User time : 0.003 s
% 0.19/0.51 # System time : 0.003 s
% 0.19/0.51 # Total time : 0.006 s
% 0.19/0.51 # Maximum resident set size: 1920 pages
% 0.19/0.51
% 0.19/0.51 # -------------------------------------------------
% 0.19/0.51 # User time : 0.005 s
% 0.19/0.51 # System time : 0.006 s
% 0.19/0.51 # Total time : 0.011 s
% 0.19/0.51 # Maximum resident set size: 1824 pages
% 0.19/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------