TSTP Solution File: ITP019_5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP019_5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 08:06:34 EDT 2024
% Result : Theorem 60.37s 24.05s
% Output : CNFRefutation 60.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 3 unt; 10 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 3 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 5 ( 4 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
tp__ty_2Enum_2Enum: $tType ).
tff(decl_sort2,type,
tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $tType ).
tff(decl_26,type,
ap: ( $i * $i ) > $i ).
tff(decl_188,type,
inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
tff(decl_191,type,
fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).
tff(decl_5232,type,
inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal > $i ).
tff(decl_5233,type,
surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $i > tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).
tff(decl_5774,type,
c_2Ecomplex_2Ecomplex__inv: $i ).
tff(decl_5777,type,
c_2Ecomplex_2Ecomplex__of__num: $i ).
tff(decl_5803,type,
esk1_0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).
tff(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X30600: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X30600 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
=> ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30600))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eHJgVs6352/E---3.1_9949.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
tff(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X30599: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30599))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
<=> ( X30599 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eHJgVs6352/E---3.1_9949.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
tff(c_0_2,negated_conjecture,
~ ! [X30600: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X30600 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
=> ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30600))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ])]) ).
tff(c_0_3,plain,
! [X30645: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30645))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
| ( X30645 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) )
& ( ( X30645 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
| ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30645))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).
tff(c_0_4,negated_conjecture,
( ( esk1_0 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
& ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(esk1_0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
tcf(c_0_5,plain,
! [X27305: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X27305 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
| ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X27305))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_6,negated_conjecture,
surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(esk1_0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,negated_conjecture,
esk1_0 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 3.33/3.40 % Problem : ITP019_5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 3.33/3.41 % Command : run_E %s %d THM
% 3.42/3.61 % Computer : n023.cluster.edu
% 3.42/3.61 % Model : x86_64 x86_64
% 3.42/3.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 3.42/3.61 % Memory : 8042.1875MB
% 3.42/3.61 % OS : Linux 3.10.0-693.el7.x86_64
% 3.42/3.61 % CPULimit : 300
% 3.42/3.61 % WCLimit : 300
% 3.42/3.61 % DateTime : Fri May 3 12:47:43 EDT 2024
% 3.42/3.61 % CPUTime :
% 14.86/15.10 Running first-order theorem proving
% 14.86/15.10 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/tmp/tmp.eHJgVs6352/E---3.1_9949.p
% 60.37/24.05 # Version: 3.1.0
% 60.37/24.05 # Preprocessing class: FMLLSMLLSSSNFFN.
% 60.37/24.05 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 60.37/24.05 # Starting new_bool_3 with 894s (3) cores
% 60.37/24.05 # Starting new_bool_1 with 894s (3) cores
% 60.37/24.05 # Starting sh5l with 298s (1) cores
% 60.37/24.05 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 60.37/24.05 # new_bool_1 with pid 10030 completed with status 0
% 60.37/24.05 # Result found by new_bool_1
% 60.37/24.05 # Preprocessing class: FMLLSMLLSSSNFFN.
% 60.37/24.05 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 60.37/24.05 # Starting new_bool_3 with 894s (3) cores
% 60.37/24.05 # Starting new_bool_1 with 894s (3) cores
% 60.37/24.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 60.37/24.05 # Search class: FGHSM-SMLM33-DFFFFFNN
% 60.37/24.05 # Scheduled 6 strats onto 3 cores with 893 seconds (893 total)
% 60.37/24.05 # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 60.37/24.05 # Starting new_bool_1 with 90s (1) cores
% 60.37/24.05 # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 60.37/24.05 # SAT001_CA_MinMin_p005000_rr with pid 10039 completed with status 0
% 60.37/24.05 # Result found by SAT001_CA_MinMin_p005000_rr
% 60.37/24.05 # Preprocessing class: FMLLSMLLSSSNFFN.
% 60.37/24.05 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 60.37/24.05 # Starting new_bool_3 with 894s (3) cores
% 60.37/24.05 # Starting new_bool_1 with 894s (3) cores
% 60.37/24.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 60.37/24.05 # Search class: FGHSM-SMLM33-DFFFFFNN
% 60.37/24.05 # Scheduled 6 strats onto 3 cores with 893 seconds (893 total)
% 60.37/24.05 # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 60.37/24.05 # Starting new_bool_1 with 90s (1) cores
% 60.37/24.05 # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 60.37/24.05 # Preprocessing time : 0.162 s
% 60.37/24.05 # Presaturation interreduction done
% 60.37/24.05
% 60.37/24.05 # Proof found!
% 60.37/24.05 # SZS status Theorem
% 60.37/24.05 # SZS output start CNFRefutation
% See solution above
% 60.37/24.05 # Parsed axioms : 23420
% 60.37/24.05 # Removed by relevancy pruning/SinE : 22437
% 60.37/24.05 # Initial clauses : 2908
% 60.37/24.05 # Removed in clause preprocessing : 201
% 60.37/24.05 # Initial clauses in saturation : 2707
% 60.37/24.05 # Processed clauses : 2863
% 60.37/24.05 # ...of these trivial : 51
% 60.37/24.05 # ...subsumed : 283
% 60.37/24.05 # ...remaining for further processing : 2529
% 60.37/24.05 # Other redundant clauses eliminated : 204
% 60.37/24.05 # Clauses deleted for lack of memory : 0
% 60.37/24.05 # Backward-subsumed : 3
% 60.37/24.05 # Backward-rewritten : 7
% 60.37/24.05 # Generated clauses : 186
% 60.37/24.05 # ...of the previous two non-redundant : 134
% 60.37/24.05 # ...aggressively subsumed : 0
% 60.37/24.05 # Contextual simplify-reflections : 11
% 60.37/24.05 # Paramodulations : 1
% 60.37/24.05 # Factorizations : 0
% 60.37/24.05 # NegExts : 0
% 60.37/24.05 # Equation resolutions : 204
% 60.37/24.05 # Disequality decompositions : 0
% 60.37/24.05 # Total rewrite steps : 946
% 60.37/24.05 # ...of those cached : 838
% 60.37/24.05 # Propositional unsat checks : 0
% 60.37/24.05 # Propositional check models : 0
% 60.37/24.05 # Propositional check unsatisfiable : 0
% 60.37/24.05 # Propositional clauses : 0
% 60.37/24.05 # Propositional clauses after purity: 0
% 60.37/24.05 # Propositional unsat core size : 0
% 60.37/24.05 # Propositional preprocessing time : 0.000
% 60.37/24.05 # Propositional encoding time : 0.000
% 60.37/24.05 # Propositional solver time : 0.000
% 60.37/24.05 # Success case prop preproc time : 0.000
% 60.37/24.05 # Success case prop encoding time : 0.000
% 60.37/24.05 # Success case prop solver time : 0.000
% 60.37/24.05 # Current number of processed clauses : 22
% 60.37/24.05 # Positive orientable unit clauses : 12
% 60.37/24.05 # Positive unorientable unit clauses: 0
% 60.37/24.05 # Negative unit clauses : 6
% 60.37/24.05 # Non-unit-clauses : 4
% 60.37/24.05 # Current number of unprocessed clauses: 2290
% 60.37/24.05 # ...number of literals in the above : 10618
% 60.37/24.05 # Current number of archived formulas : 0
% 60.37/24.05 # Current number of archived clauses : 2322
% 60.37/24.05 # Clause-clause subsumption calls (NU) : 2827617
% 60.37/24.05 # Rec. Clause-clause subsumption calls : 66791
% 60.37/24.05 # Non-unit clause-clause subsumptions : 316
% 60.37/24.05 # Unit Clause-clause subsumption calls : 234
% 60.37/24.05 # Rewrite failures with RHS unbound : 0
% 60.37/24.05 # BW rewrite match attempts : 15961
% 60.37/24.05 # BW rewrite match successes : 111
% 60.37/24.05 # Condensation attempts : 3063
% 60.37/24.05 # Condensation successes : 45
% 60.37/24.05 # Termbank termtop insertions : 1390538
% 60.37/24.05 # Search garbage collected termcells : 409475
% 60.37/24.05
% 60.37/24.05 # -------------------------------------------------
% 60.37/24.05 # User time : 5.816 s
% 60.37/24.05 # System time : 0.175 s
% 60.37/24.05 # Total time : 5.992 s
% 60.37/24.05 # Maximum resident set size: 82200 pages
% 60.37/24.05
% 60.37/24.05 # -------------------------------------------------
% 60.37/24.05 # User time : 17.877 s
% 60.37/24.05 # System time : 0.369 s
% 60.37/24.05 # Total time : 18.246 s
% 60.37/24.05 # Maximum resident set size: 67036 pages
% 60.37/24.05 % E---3.1 exiting
% 60.37/24.05 % E exiting
%------------------------------------------------------------------------------