TSTP Solution File: ITP019_2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP019_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 08:09:01 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 25 ( 7 unt; 11 typ; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 4 |; 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% 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_43,type,
inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
tff(decl_45,type,
c_2Enum_2E0: $i ).
tff(decl_46,type,
fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).
tff(decl_51,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_52,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_53,type,
c_2Ecomplex_2Ecomplex__of__num: $i ).
tff(decl_54,type,
c_2Ecomplex_2Ecomplex__inv: $i ).
tff(decl_57,type,
esk1_0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).
tff(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X22: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X22 != 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(X22))) != 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.yGgwTTvCch/E---3.1_23188.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
tff(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X22: 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(X22))) = 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))) )
<=> ( X22 = 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.yGgwTTvCch/E---3.1_23188.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
tff(stp_eq_fo_c_2Enum_2E0,axiom,
inj__ty_2Enum_2Enum(fo__c_2Enum_2E0) = c_2Enum_2E0,
file('/export/starexec/sandbox2/tmp/tmp.yGgwTTvCch/E---3.1_23188.p',stp_eq_fo_c_2Enum_2E0) ).
tff(c_0_3,negated_conjecture,
~ ! [X22: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X22 != 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(X22))) != 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_4,plain,
! [X26: 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(X26))) != 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))) )
| ( X26 = 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))) ) )
& ( ( X26 != 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(X26))) = 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_5,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_3])])])]) ).
tcf(c_0_6,plain,
! [X17: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X17 = 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(X17))) != 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,plain,
inj__ty_2Enum_2Enum(fo__c_2Enum_2E0) = c_2Enum_2E0,
inference(split_conjunct,[status(thm)],[stp_eq_fo_c_2Enum_2E0]) ).
tcf(c_0_8,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_5]) ).
tcf(c_0_9,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_5]) ).
tcf(c_0_10,plain,
! [X17: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X17 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,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(X17))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
tcf(c_0_11,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,c_2Enum_2E0)),
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
tcf(c_0_12,negated_conjecture,
surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)) != esk1_0,
inference(rw,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP019_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 12:57:36 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.yGgwTTvCch/E---3.1_23188.p
% 0.22/0.51 # Version: 3.1.0
% 0.22/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51 # Starting sh5l with 300s (1) cores
% 0.22/0.51 # new_bool_3 with pid 23319 completed with status 0
% 0.22/0.51 # Result found by new_bool_3
% 0.22/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51 # Search class: FGUSS-FFSS31-MFFFFFNN
% 0.22/0.51 # partial match(1): FGUSF-FFSS31-MFFFFFNN
% 0.22/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51 # SAT001_MinMin_p005000_rr_RG with pid 23322 completed with status 0
% 0.22/0.51 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51 # Search class: FGUSS-FFSS31-MFFFFFNN
% 0.22/0.51 # partial match(1): FGUSF-FFSS31-MFFFFFNN
% 0.22/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51 # Preprocessing time : 0.001 s
% 0.22/0.51 # Presaturation interreduction done
% 0.22/0.51
% 0.22/0.51 # Proof found!
% 0.22/0.51 # SZS status Theorem
% 0.22/0.51 # SZS output start CNFRefutation
% See solution above
% 0.22/0.51 # Parsed axioms : 85
% 0.22/0.51 # Removed by relevancy pruning/SinE : 73
% 0.22/0.51 # Initial clauses : 15
% 0.22/0.51 # Removed in clause preprocessing : 0
% 0.22/0.51 # Initial clauses in saturation : 15
% 0.22/0.51 # Processed clauses : 26
% 0.22/0.51 # ...of these trivial : 0
% 0.22/0.51 # ...subsumed : 0
% 0.22/0.51 # ...remaining for further processing : 26
% 0.22/0.51 # Other redundant clauses eliminated : 1
% 0.22/0.51 # Clauses deleted for lack of memory : 0
% 0.22/0.51 # Backward-subsumed : 0
% 0.22/0.51 # Backward-rewritten : 0
% 0.22/0.51 # Generated clauses : 4
% 0.22/0.51 # ...of the previous two non-redundant : 1
% 0.22/0.51 # ...aggressively subsumed : 0
% 0.22/0.51 # Contextual simplify-reflections : 0
% 0.22/0.51 # Paramodulations : 3
% 0.22/0.51 # Factorizations : 0
% 0.22/0.51 # NegExts : 0
% 0.22/0.51 # Equation resolutions : 1
% 0.22/0.51 # Disequality decompositions : 0
% 0.22/0.51 # Total rewrite steps : 8
% 0.22/0.51 # ...of those cached : 5
% 0.22/0.51 # Propositional unsat checks : 0
% 0.22/0.51 # Propositional check models : 0
% 0.22/0.51 # Propositional check unsatisfiable : 0
% 0.22/0.51 # Propositional clauses : 0
% 0.22/0.51 # Propositional clauses after purity: 0
% 0.22/0.51 # Propositional unsat core size : 0
% 0.22/0.51 # Propositional preprocessing time : 0.000
% 0.22/0.51 # Propositional encoding time : 0.000
% 0.22/0.51 # Propositional solver time : 0.000
% 0.22/0.51 # Success case prop preproc time : 0.000
% 0.22/0.51 # Success case prop encoding time : 0.000
% 0.22/0.51 # Success case prop solver time : 0.000
% 0.22/0.51 # Current number of processed clauses : 10
% 0.22/0.51 # Positive orientable unit clauses : 7
% 0.22/0.51 # Positive unorientable unit clauses: 0
% 0.22/0.51 # Negative unit clauses : 1
% 0.22/0.51 # Non-unit-clauses : 2
% 0.22/0.51 # Current number of unprocessed clauses: 5
% 0.22/0.51 # ...number of literals in the above : 13
% 0.22/0.51 # Current number of archived formulas : 0
% 0.22/0.51 # Current number of archived clauses : 15
% 0.22/0.51 # Clause-clause subsumption calls (NU) : 0
% 0.22/0.51 # Rec. Clause-clause subsumption calls : 0
% 0.22/0.51 # Non-unit clause-clause subsumptions : 0
% 0.22/0.51 # Unit Clause-clause subsumption calls : 0
% 0.22/0.51 # Rewrite failures with RHS unbound : 0
% 0.22/0.51 # BW rewrite match attempts : 3
% 0.22/0.51 # BW rewrite match successes : 0
% 0.22/0.51 # Condensation attempts : 0
% 0.22/0.51 # Condensation successes : 0
% 0.22/0.51 # Termbank termtop insertions : 1425
% 0.22/0.51 # Search garbage collected termcells : 360
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.003 s
% 0.22/0.51 # System time : 0.004 s
% 0.22/0.51 # Total time : 0.007 s
% 0.22/0.51 # Maximum resident set size: 1896 pages
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.004 s
% 0.22/0.51 # System time : 0.008 s
% 0.22/0.51 # Total time : 0.011 s
% 0.22/0.51 # Maximum resident set size: 1784 pages
% 0.22/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------