TSTP Solution File: ITP020+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP020+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 0.19s 0.52s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   11 (   6   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-4 aty)
%            Number of variables   :   26 (   2 sgn  15   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
    ? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
    file('/export/starexec/sandbox2/tmp/tmp.hK3kngpPuj/E---3.1_27751.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).

fof(thm_2Epred__set_2EBIJ__SYM,axiom,
    ! [X1,X2,X28,X29] :
      ( ? [X30] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),X30),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X28),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X29))))
    <=> ? [X31] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),X31),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X29),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X28)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.hK3kngpPuj/E---3.1_27751.p',thm_2Epred__set_2EBIJ__SYM) ).

fof(thm_2Eutil__prob_2ENUM__2D__BIJ,axiom,
    ? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),X3),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
    file('/export/starexec/sandbox2/tmp/tmp.hK3kngpPuj/E---3.1_27751.p',thm_2Eutil__prob_2ENUM__2D__BIJ) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
    inference(assume_negation,[status(cth)],[thm_2Eutil__prob_2ENUM__2D__BIJ__INV]) ).

fof(c_0_4,plain,
    ! [X63,X64,X65,X66,X67,X69,X70,X71,X72,X73] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X63,X64),X67),s(tyop_2Emin_2Efun(X63,tyop_2Emin_2Ebool),X65),s(tyop_2Emin_2Efun(X64,tyop_2Emin_2Ebool),X66))))
        | p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X64,X63),esk1_4(X63,X64,X65,X66)),s(tyop_2Emin_2Efun(X64,tyop_2Emin_2Ebool),X66),s(tyop_2Emin_2Efun(X63,tyop_2Emin_2Ebool),X65)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X70,X69),X73),s(tyop_2Emin_2Efun(X70,tyop_2Emin_2Ebool),X72),s(tyop_2Emin_2Efun(X69,tyop_2Emin_2Ebool),X71))))
        | p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X69,X70),esk2_4(X69,X70,X71,X72)),s(tyop_2Emin_2Efun(X69,tyop_2Emin_2Ebool),X71),s(tyop_2Emin_2Efun(X70,tyop_2Emin_2Ebool),X72)))) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Epred__set_2EBIJ__SYM])])])])])]) ).

fof(c_0_5,plain,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),esk3_0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[thm_2Eutil__prob_2ENUM__2D__BIJ])]) ).

fof(c_0_6,negated_conjecture,
    ! [X39] : ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X39),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_7,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),esk1_4(X1,X2,X4,X5)),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),esk3_0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X1),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ITP020+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.14/0.33  % Computer : n027.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Fri May  3 13:13:21 EDT 2024
% 0.14/0.33  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.48  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.hK3kngpPuj/E---3.1_27751.p
% 0.19/0.52  # Version: 3.1.0
% 0.19/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.52  # Starting sh5l with 300s (1) cores
% 0.19/0.52  # new_bool_3 with pid 27889 completed with status 0
% 0.19/0.52  # Result found by new_bool_3
% 0.19/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.52  # Search class: FGUSM-FFLF32-DFFFFFNN
% 0.19/0.52  # partial match(2): FGUSM-FSLM32-DFFFFFNN
% 0.19/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.52  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.52  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 27900 completed with status 0
% 0.19/0.52  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.52  # Search class: FGUSM-FFLF32-DFFFFFNN
% 0.19/0.52  # partial match(2): FGUSM-FSLM32-DFFFFFNN
% 0.19/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.52  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.52  # Preprocessing time       : 0.003 s
% 0.19/0.52  # Presaturation interreduction done
% 0.19/0.52  
% 0.19/0.52  # Proof found!
% 0.19/0.52  # SZS status Theorem
% 0.19/0.52  # SZS output start CNFRefutation
% See solution above
% 0.19/0.52  # Parsed axioms                        : 59
% 0.19/0.52  # Removed by relevancy pruning/SinE    : 31
% 0.19/0.52  # Initial clauses                      : 245
% 0.19/0.52  # Removed in clause preprocessing      : 190
% 0.19/0.52  # Initial clauses in saturation        : 55
% 0.19/0.52  # Processed clauses                    : 154
% 0.19/0.52  # ...of these trivial                  : 2
% 0.19/0.52  # ...subsumed                          : 61
% 0.19/0.52  # ...remaining for further processing  : 91
% 0.19/0.52  # Other redundant clauses eliminated   : 0
% 0.19/0.52  # Clauses deleted for lack of memory   : 0
% 0.19/0.52  # Backward-subsumed                    : 0
% 0.19/0.52  # Backward-rewritten                   : 2
% 0.19/0.52  # Generated clauses                    : 714
% 0.19/0.52  # ...of the previous two non-redundant : 549
% 0.19/0.52  # ...aggressively subsumed             : 0
% 0.19/0.52  # Contextual simplify-reflections      : 0
% 0.19/0.52  # Paramodulations                      : 710
% 0.19/0.52  # Factorizations                       : 2
% 0.19/0.52  # NegExts                              : 0
% 0.19/0.52  # Equation resolutions                 : 2
% 0.19/0.52  # Disequality decompositions           : 0
% 0.19/0.52  # Total rewrite steps                  : 34
% 0.19/0.52  # ...of those cached                   : 19
% 0.19/0.52  # Propositional unsat checks           : 0
% 0.19/0.52  #    Propositional check models        : 0
% 0.19/0.52  #    Propositional check unsatisfiable : 0
% 0.19/0.52  #    Propositional clauses             : 0
% 0.19/0.52  #    Propositional clauses after purity: 0
% 0.19/0.52  #    Propositional unsat core size     : 0
% 0.19/0.52  #    Propositional preprocessing time  : 0.000
% 0.19/0.52  #    Propositional encoding time       : 0.000
% 0.19/0.52  #    Propositional solver time         : 0.000
% 0.19/0.52  #    Success case prop preproc time    : 0.000
% 0.19/0.52  #    Success case prop encoding time   : 0.000
% 0.19/0.52  #    Success case prop solver time     : 0.000
% 0.19/0.52  # Current number of processed clauses  : 49
% 0.19/0.52  #    Positive orientable unit clauses  : 2
% 0.19/0.52  #    Positive unorientable unit clauses: 0
% 0.19/0.52  #    Negative unit clauses             : 1
% 0.19/0.52  #    Non-unit-clauses                  : 46
% 0.19/0.52  # Current number of unprocessed clauses: 482
% 0.19/0.52  # ...number of literals in the above   : 2299
% 0.19/0.52  # Current number of archived formulas  : 0
% 0.19/0.52  # Current number of archived clauses   : 42
% 0.19/0.52  # Clause-clause subsumption calls (NU) : 999
% 0.19/0.52  # Rec. Clause-clause subsumption calls : 835
% 0.19/0.52  # Non-unit clause-clause subsumptions  : 56
% 0.19/0.52  # Unit Clause-clause subsumption calls : 0
% 0.19/0.52  # Rewrite failures with RHS unbound    : 0
% 0.19/0.52  # BW rewrite match attempts            : 69
% 0.19/0.52  # BW rewrite match successes           : 2
% 0.19/0.52  # Condensation attempts                : 0
% 0.19/0.52  # Condensation successes               : 0
% 0.19/0.52  # Termbank termtop insertions          : 40144
% 0.19/0.52  # Search garbage collected termcells   : 2689
% 0.19/0.52  
% 0.19/0.52  # -------------------------------------------------
% 0.19/0.52  # User time                : 0.023 s
% 0.19/0.52  # System time              : 0.004 s
% 0.19/0.52  # Total time               : 0.028 s
% 0.19/0.52  # Maximum resident set size: 2452 pages
% 0.19/0.52  
% 0.19/0.52  # -------------------------------------------------
% 0.19/0.52  # User time                : 0.028 s
% 0.19/0.52  # System time              : 0.006 s
% 0.19/0.52  # Total time               : 0.034 s
% 0.19/0.52  # Maximum resident set size: 1832 pages
% 0.19/0.52  % E---3.1 exiting
% 0.19/0.52  % E exiting
%------------------------------------------------------------------------------