TSTP Solution File: GEO524+1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : GEO524+1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : Mon Jun 24 06:08:49 EDT 2024

% Result   : Theorem 0.37s 0.54s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   7   ~;   7   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   17 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(aSatz10_7,conjecture,
    ! [X12,X15,X13,X16] :
      ( X12 = X15
      | reflect(X12,X15,X13) != reflect(X12,X15,X16)
      | X13 = X16 ),
    file('/export/starexec/sandbox/tmp/tmp.zHyJBUiUEB/E---3.1_17698.p',aSatz10_7) ).

fof(aSatz10_5,axiom,
    ! [X12,X15,X13] :
      ( X12 = X15
      | reflect(X12,X15,reflect(X12,X15,X13)) = X13 ),
    file('/export/starexec/sandbox/tmp/tmp.zHyJBUiUEB/E---3.1_17698.p',aSatz10_5) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X12,X15,X13,X16] :
        ( X12 = X15
        | reflect(X12,X15,X13) != reflect(X12,X15,X16)
        | X13 = X16 ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz10_7])]) ).

fof(c_0_3,plain,
    ! [X62,X63,X64] :
      ( X62 = X63
      | reflect(X62,X63,reflect(X62,X63,X64)) = X64 ),
    inference(variable_rename,[status(thm)],[aSatz10_5]) ).

fof(c_0_4,negated_conjecture,
    ( esk1_0 != esk2_0
    & reflect(esk1_0,esk2_0,esk3_0) = reflect(esk1_0,esk2_0,esk4_0)
    & esk3_0 != esk4_0 ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

cnf(c_0_5,plain,
    ( X1 = X2
    | reflect(X1,X2,reflect(X1,X2,X3)) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    reflect(esk1_0,esk2_0,esk3_0) = reflect(esk1_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    esk1_0 != esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    reflect(esk1_0,esk2_0,reflect(esk1_0,esk2_0,esk4_0)) = esk3_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    esk3_0 != esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_8]),c_0_9]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO524+1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri Jun 21 08:48:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.21/0.51  Running first-order theorem proving
% 0.21/0.51  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.zHyJBUiUEB/E---3.1_17698.p
% 0.37/0.54  # Version: 3.2.0
% 0.37/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.37/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.37/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.54  # Starting sh5l with 300s (1) cores
% 0.37/0.54  # new_bool_3 with pid 17777 completed with status 0
% 0.37/0.54  # Result found by new_bool_3
% 0.37/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.37/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.37/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.54  # Search class: FGHSM-FFMF32-SFFFFFNN
% 0.37/0.54  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.54  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 163s (1) cores
% 0.37/0.54  # G-E--_300_C01_F1_SE_CS_SP_S0Y with pid 17780 completed with status 0
% 0.37/0.54  # Result found by G-E--_300_C01_F1_SE_CS_SP_S0Y
% 0.37/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.37/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.37/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.54  # Search class: FGHSM-FFMF32-SFFFFFNN
% 0.37/0.54  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.54  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 163s (1) cores
% 0.37/0.54  # Preprocessing time       : 0.004 s
% 0.37/0.54  
% 0.37/0.54  # Proof found!
% 0.37/0.54  # SZS status Theorem
% 0.37/0.54  # SZS output start CNFRefutation
% See solution above
% 0.37/0.54  # Parsed axioms                        : 204
% 0.37/0.54  # Removed by relevancy pruning/SinE    : 126
% 0.37/0.54  # Initial clauses                      : 87
% 0.37/0.54  # Removed in clause preprocessing      : 0
% 0.37/0.54  # Initial clauses in saturation        : 87
% 0.37/0.54  # Processed clauses                    : 16
% 0.37/0.54  # ...of these trivial                  : 0
% 0.37/0.54  # ...subsumed                          : 0
% 0.37/0.54  # ...remaining for further processing  : 16
% 0.37/0.54  # Other redundant clauses eliminated   : 0
% 0.37/0.54  # Clauses deleted for lack of memory   : 0
% 0.37/0.54  # Backward-subsumed                    : 0
% 0.37/0.54  # Backward-rewritten                   : 0
% 0.37/0.54  # Generated clauses                    : 3
% 0.37/0.54  # ...of the previous two non-redundant : 1
% 0.37/0.54  # ...aggressively subsumed             : 0
% 0.37/0.54  # Contextual simplify-reflections      : 0
% 0.37/0.54  # Paramodulations                      : 3
% 0.37/0.54  # Factorizations                       : 0
% 0.37/0.54  # NegExts                              : 0
% 0.37/0.54  # Equation resolutions                 : 0
% 0.37/0.54  # Disequality decompositions           : 0
% 0.37/0.54  # Total rewrite steps                  : 0
% 0.37/0.54  # ...of those cached                   : 0
% 0.37/0.54  # Propositional unsat checks           : 0
% 0.37/0.54  #    Propositional check models        : 0
% 0.37/0.54  #    Propositional check unsatisfiable : 0
% 0.37/0.54  #    Propositional clauses             : 0
% 0.37/0.54  #    Propositional clauses after purity: 0
% 0.37/0.54  #    Propositional unsat core size     : 0
% 0.37/0.54  #    Propositional preprocessing time  : 0.000
% 0.37/0.54  #    Propositional encoding time       : 0.000
% 0.37/0.54  #    Propositional solver time         : 0.000
% 0.37/0.54  #    Success case prop preproc time    : 0.000
% 0.37/0.54  #    Success case prop encoding time   : 0.000
% 0.37/0.54  #    Success case prop solver time     : 0.000
% 0.37/0.54  # Current number of processed clauses  : 16
% 0.37/0.54  #    Positive orientable unit clauses  : 10
% 0.37/0.54  #    Positive unorientable unit clauses: 0
% 0.37/0.54  #    Negative unit clauses             : 2
% 0.37/0.54  #    Non-unit-clauses                  : 4
% 0.37/0.54  # Current number of unprocessed clauses: 72
% 0.37/0.54  # ...number of literals in the above   : 263
% 0.37/0.54  # Current number of archived formulas  : 0
% 0.37/0.54  # Current number of archived clauses   : 0
% 0.37/0.54  # Clause-clause subsumption calls (NU) : 2
% 0.37/0.54  # Rec. Clause-clause subsumption calls : 2
% 0.37/0.54  # Non-unit clause-clause subsumptions  : 0
% 0.37/0.54  # Unit Clause-clause subsumption calls : 0
% 0.37/0.54  # Rewrite failures with RHS unbound    : 0
% 0.37/0.54  # BW rewrite match attempts            : 7
% 0.37/0.54  # BW rewrite match successes           : 0
% 0.37/0.54  # Condensation attempts                : 0
% 0.37/0.54  # Condensation successes               : 0
% 0.37/0.54  # Termbank termtop insertions          : 10118
% 0.37/0.54  # Search garbage collected termcells   : 2447
% 0.37/0.54  
% 0.37/0.54  # -------------------------------------------------
% 0.37/0.54  # User time                : 0.008 s
% 0.37/0.54  # System time              : 0.004 s
% 0.37/0.54  # Total time               : 0.012 s
% 0.37/0.54  # Maximum resident set size: 2440 pages
% 0.37/0.54  
% 0.37/0.54  # -------------------------------------------------
% 0.37/0.54  # User time                : 0.014 s
% 0.37/0.54  # System time              : 0.008 s
% 0.37/0.54  # Total time               : 0.022 s
% 0.37/0.54  # Maximum resident set size: 2068 pages
% 0.37/0.54  % E---3.1 exiting
% 0.43/0.54  % E exiting
%------------------------------------------------------------------------------