TSTP Solution File: ITP019^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP019^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 08:06:32 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 10 ~; 3 |; 2 &; 24 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 ^ 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(decl_sort2,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).
thf(decl_58,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(decl_63,type,
mono_2Ec_2Ecomplex_2Ecomplex__inv: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(decl_64,type,
mono_2Ec_2Ecomplex_2Ecomplex__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(decl_80,type,
esk1_0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X35: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X35
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jBzjqrxqiC/E---3.1_29912.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
thf(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X35: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35 )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
<=> ( X35
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jBzjqrxqiC/E---3.1_29912.p',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
thf(c_0_2,negated_conjecture,
~ ! [X35: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X35
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ])]) ).
thf(c_0_3,plain,
! [X39: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X39 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
| ( X39
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) )
& ( ( X39
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
| ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X39 )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).
thf(c_0_4,negated_conjecture,
( ( esk1_0
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
& ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ esk1_0 )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
thf(c_0_5,plain,
! [X19: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X19
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
| ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X19 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ esk1_0 )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
( esk1_0
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(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
% 0.11/0.14 % Problem : ITP019^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 12:51:12 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.51 Running higher-order theorem proving
% 0.21/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --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.jBzjqrxqiC/E---3.1_29912.p
% 0.21/0.53 # Version: 3.1.0-ho
% 0.21/0.53 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.53 # Starting pre_casc_8 with 300s (1) cores
% 0.21/0.53 # Starting pre_casc_5 with 300s (1) cores
% 0.21/0.53 # Starting pre_casc_6 with 300s (1) cores
% 0.21/0.53 # pre_casc_8 with pid 30039 completed with status 0
% 0.21/0.53 # Result found by pre_casc_8
% 0.21/0.53 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.53 # Starting pre_casc_8 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountTerms,hypos,5,,5,20000,3.0,true)
% 0.21/0.53 # Search class: HHUPF-FFSF11-SSFFFFNN
% 0.21/0.53 # partial match(1): HHUPF-FFSF11-SSSFFFNN
% 0.21/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting new_ho_10 with 163s (1) cores
% 0.21/0.53 # new_ho_10 with pid 30043 completed with status 0
% 0.21/0.53 # Result found by new_ho_10
% 0.21/0.53 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.53 # Starting pre_casc_8 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountTerms,hypos,5,,5,20000,3.0,true)
% 0.21/0.53 # Search class: HHUPF-FFSF11-SSFFFFNN
% 0.21/0.53 # partial match(1): HHUPF-FFSF11-SSSFFFNN
% 0.21/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting new_ho_10 with 163s (1) cores
% 0.21/0.53 # Preprocessing time : 0.002 s
% 0.21/0.53 # Presaturation interreduction done
% 0.21/0.53
% 0.21/0.53 # Proof found!
% 0.21/0.53 # SZS status Theorem
% 0.21/0.53 # SZS output start CNFRefutation
% See solution above
% 0.21/0.53 # Parsed axioms : 104
% 0.21/0.53 # Removed by relevancy pruning/SinE : 102
% 0.21/0.53 # Initial clauses : 4
% 0.21/0.53 # Removed in clause preprocessing : 0
% 0.21/0.53 # Initial clauses in saturation : 4
% 0.21/0.53 # Processed clauses : 8
% 0.21/0.53 # ...of these trivial : 0
% 0.21/0.53 # ...subsumed : 0
% 0.21/0.53 # ...remaining for further processing : 8
% 0.21/0.53 # Other redundant clauses eliminated : 1
% 0.21/0.53 # Clauses deleted for lack of memory : 0
% 0.21/0.53 # Backward-subsumed : 0
% 0.21/0.53 # Backward-rewritten : 0
% 0.21/0.53 # Generated clauses : 2
% 0.21/0.53 # ...of the previous two non-redundant : 1
% 0.21/0.53 # ...aggressively subsumed : 0
% 0.21/0.53 # Contextual simplify-reflections : 0
% 0.21/0.53 # Paramodulations : 1
% 0.21/0.53 # Factorizations : 0
% 0.21/0.53 # NegExts : 0
% 0.21/0.53 # Equation resolutions : 1
% 0.21/0.53 # Disequality decompositions : 0
% 0.21/0.53 # Total rewrite steps : 0
% 0.21/0.53 # ...of those cached : 0
% 0.21/0.53 # Propositional unsat checks : 0
% 0.21/0.53 # Propositional check models : 0
% 0.21/0.53 # Propositional check unsatisfiable : 0
% 0.21/0.53 # Propositional clauses : 0
% 0.21/0.53 # Propositional clauses after purity: 0
% 0.21/0.53 # Propositional unsat core size : 0
% 0.21/0.53 # Propositional preprocessing time : 0.000
% 0.21/0.53 # Propositional encoding time : 0.000
% 0.21/0.53 # Propositional solver time : 0.000
% 0.21/0.53 # Success case prop preproc time : 0.000
% 0.21/0.53 # Success case prop encoding time : 0.000
% 0.21/0.53 # Success case prop solver time : 0.000
% 0.21/0.53 # Current number of processed clauses : 3
% 0.21/0.53 # Positive orientable unit clauses : 1
% 0.21/0.53 # Positive unorientable unit clauses: 0
% 0.21/0.53 # Negative unit clauses : 1
% 0.21/0.53 # Non-unit-clauses : 1
% 0.21/0.53 # Current number of unprocessed clauses: 1
% 0.21/0.53 # ...number of literals in the above : 1
% 0.21/0.53 # Current number of archived formulas : 0
% 0.21/0.53 # Current number of archived clauses : 4
% 0.21/0.53 # Clause-clause subsumption calls (NU) : 0
% 0.21/0.53 # Rec. Clause-clause subsumption calls : 0
% 0.21/0.53 # Non-unit clause-clause subsumptions : 0
% 0.21/0.53 # Unit Clause-clause subsumption calls : 0
% 0.21/0.53 # Rewrite failures with RHS unbound : 0
% 0.21/0.53 # BW rewrite match attempts : 0
% 0.21/0.53 # BW rewrite match successes : 0
% 0.21/0.53 # Condensation attempts : 8
% 0.21/0.53 # Condensation successes : 0
% 0.21/0.53 # Termbank termtop insertions : 1189
% 0.21/0.53 # Search garbage collected termcells : 419
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.003 s
% 0.21/0.53 # System time : 0.002 s
% 0.21/0.53 # Total time : 0.005 s
% 0.21/0.53 # Maximum resident set size: 1972 pages
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.007 s
% 0.21/0.53 # System time : 0.005 s
% 0.21/0.53 # Total time : 0.011 s
% 0.21/0.53 # Maximum resident set size: 1836 pages
% 0.21/0.53 % E---3.1 exiting
% 0.21/0.53 % E exiting
%------------------------------------------------------------------------------