TSTP Solution File: ITP019_4 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP019_4 : 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 08:06:34 EDT 2024
% Result : Theorem 105.82s 103.77s
% Output : CNFRefutation 105.82s
% 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)
% 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 : 2 ( 1 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
mono_2Etyop_2Enum_2Enum: $tType ).
tff(decl_sort2,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).
tff(decl_228,type,
mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).
tff(decl_11583,type,
mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(decl_11589,type,
mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(decl_11601,type,
esk1_0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X58134: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X58134 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
=> ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58134) != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ),
file('/export/starexec/sandbox/tmp/tmp.kEc1VaZM3g/E---3.1_7040.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
tff(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X58133: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58133) = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
<=> ( X58133 = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ),
file('/export/starexec/sandbox/tmp/tmp.kEc1VaZM3g/E---3.1_7040.p',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
tff(c_0_2,negated_conjecture,
~ ! [X58134: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X58134 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
=> ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58134) != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ])]) ).
tff(c_0_3,plain,
! [X58175: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58175) != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
| ( X58175 = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
& ( ( X58175 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
| ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58175) = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).
tff(c_0_4,negated_conjecture,
( ( esk1_0 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
& ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(esk1_0) = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_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,
! [X49478: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X49478 = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
| ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X49478) != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_6,negated_conjecture,
mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(esk1_0) = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,negated_conjecture,
esk1_0 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_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
% 7.05/7.09 % Problem : ITP019_4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 7.11/7.12 % Command : run_E %s %d THM
% 7.11/7.33 % Computer : n008.cluster.edu
% 7.11/7.33 % Model : x86_64 x86_64
% 7.11/7.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 7.11/7.33 % Memory : 8042.1875MB
% 7.11/7.33 % OS : Linux 3.10.0-693.el7.x86_64
% 7.11/7.33 % CPULimit : 300
% 7.11/7.33 % WCLimit : 300
% 7.11/7.33 % DateTime : Fri May 3 12:54:06 EDT 2024
% 7.11/7.33 % CPUTime :
% 95.75/96.07 Running first-order theorem proving
% 95.75/96.07 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/tmp/tmp.kEc1VaZM3g/E---3.1_7040.p
% 105.82/103.77 # Version: 3.1.0
% 105.82/103.77 # Preprocessing class: FMLLSMLLSSSNFFN.
% 105.82/103.77 # Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 105.82/103.77 # Starting new_bool_3 with 879s (3) cores
% 105.82/103.77 # Starting new_bool_1 with 879s (3) cores
% 105.82/103.77 # Starting sh5l with 293s (1) cores
% 105.82/103.77 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 293s (1) cores
% 105.82/103.77 # new_bool_3 with pid 9792 completed with status 0
% 105.82/103.77 # Result found by new_bool_3
% 105.82/103.77 # Preprocessing class: FMLLSMLLSSSNFFN.
% 105.82/103.77 # Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 105.82/103.77 # Starting new_bool_3 with 879s (3) cores
% 105.82/103.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 105.82/103.77 # Search class: FGUPM-FFMM21-MFFFFFNN
% 105.82/103.77 # partial match(1): FGUNM-FFMM21-MFFFFFNN
% 105.82/103.77 # Scheduled 5 strats onto 3 cores with 879 seconds (879 total)
% 105.82/103.77 # Starting SAT001_MinMin_p005000_rr_RG with 528s (1) cores
% 105.82/103.77 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 88s (1) cores
% 105.82/103.77 # Starting new_bool_3 with 88s (1) cores
% 105.82/103.77 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 9984 completed with status 0
% 105.82/103.77 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 105.82/103.77 # Preprocessing class: FMLLSMLLSSSNFFN.
% 105.82/103.77 # Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 105.82/103.77 # Starting new_bool_3 with 879s (3) cores
% 105.82/103.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 105.82/103.77 # Search class: FGUPM-FFMM21-MFFFFFNN
% 105.82/103.77 # partial match(1): FGUNM-FFMM21-MFFFFFNN
% 105.82/103.77 # Scheduled 5 strats onto 3 cores with 879 seconds (879 total)
% 105.82/103.77 # Starting SAT001_MinMin_p005000_rr_RG with 528s (1) cores
% 105.82/103.77 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 88s (1) cores
% 105.82/103.77 # Preprocessing time : 0.032 s
% 105.82/103.77 # Presaturation interreduction done
% 105.82/103.77
% 105.82/103.77 # Proof found!
% 105.82/103.77 # SZS status Theorem
% 105.82/103.77 # SZS output start CNFRefutation
% See solution above
% 105.82/103.77 # Parsed axioms : 71028
% 105.82/103.77 # Removed by relevancy pruning/SinE : 70951
% 105.82/103.77 # Initial clauses : 98
% 105.82/103.77 # Removed in clause preprocessing : 6
% 105.82/103.77 # Initial clauses in saturation : 92
% 105.82/103.77 # Processed clauses : 103
% 105.82/103.77 # ...of these trivial : 8
% 105.82/103.77 # ...subsumed : 4
% 105.82/103.77 # ...remaining for further processing : 91
% 105.82/103.77 # Other redundant clauses eliminated : 17
% 105.82/103.77 # Clauses deleted for lack of memory : 0
% 105.82/103.77 # Backward-subsumed : 0
% 105.82/103.77 # Backward-rewritten : 4
% 105.82/103.77 # Generated clauses : 18
% 105.82/103.77 # ...of the previous two non-redundant : 3
% 105.82/103.77 # ...aggressively subsumed : 0
% 105.82/103.77 # Contextual simplify-reflections : 0
% 105.82/103.77 # Paramodulations : 1
% 105.82/103.77 # Factorizations : 0
% 105.82/103.77 # NegExts : 0
% 105.82/103.77 # Equation resolutions : 17
% 105.82/103.77 # Disequality decompositions : 0
% 105.82/103.77 # Total rewrite steps : 59
% 105.82/103.77 # ...of those cached : 27
% 105.82/103.77 # Propositional unsat checks : 0
% 105.82/103.77 # Propositional check models : 0
% 105.82/103.77 # Propositional check unsatisfiable : 0
% 105.82/103.77 # Propositional clauses : 0
% 105.82/103.77 # Propositional clauses after purity: 0
% 105.82/103.77 # Propositional unsat core size : 0
% 105.82/103.77 # Propositional preprocessing time : 0.000
% 105.82/103.77 # Propositional encoding time : 0.000
% 105.82/103.77 # Propositional solver time : 0.000
% 105.82/103.77 # Success case prop preproc time : 0.000
% 105.82/103.77 # Success case prop encoding time : 0.000
% 105.82/103.77 # Success case prop solver time : 0.000
% 105.82/103.77 # Current number of processed clauses : 8
% 105.82/103.77 # Positive orientable unit clauses : 4
% 105.82/103.77 # Positive unorientable unit clauses: 0
% 105.82/103.77 # Negative unit clauses : 3
% 105.82/103.77 # Non-unit-clauses : 1
% 105.82/103.77 # Current number of unprocessed clauses: 54
% 105.82/103.77 # ...number of literals in the above : 74
% 105.82/103.77 # Current number of archived formulas : 0
% 105.82/103.77 # Current number of archived clauses : 66
% 105.82/103.77 # Clause-clause subsumption calls (NU) : 52
% 105.82/103.77 # Rec. Clause-clause subsumption calls : 52
% 105.82/103.77 # Non-unit clause-clause subsumptions : 4
% 105.82/103.77 # Unit Clause-clause subsumption calls : 1
% 105.82/103.77 # Rewrite failures with RHS unbound : 0
% 105.82/103.77 # BW rewrite match attempts : 36
% 105.82/103.77 # BW rewrite match successes : 31
% 105.82/103.77 # Condensation attempts : 0
% 105.82/103.77 # Condensation successes : 0
% 105.82/103.77 # Termbank termtop insertions : 1327530
% 105.82/103.77 # Search garbage collected termcells : 510717
% 105.82/103.77
% 105.82/103.77 # -------------------------------------------------
% 105.82/103.77 # User time : 0.401 s
% 105.82/103.77 # System time : 0.175 s
% 105.82/103.77 # Total time : 0.575 s
% 105.82/103.77 # Maximum resident set size: 133704 pages
% 105.82/103.77
% 105.82/103.77 # -------------------------------------------------
% 105.82/103.77 # User time : 7.582 s
% 105.82/103.77 # System time : 0.354 s
% 105.82/103.77 # Total time : 7.936 s
% 105.82/103.77 # Maximum resident set size: 112688 pages
% 105.82/103.77 % E---3.1 exiting
% 105.82/103.77 % E exiting
%------------------------------------------------------------------------------