TSTP Solution File: GEO498+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:35:07 EDT 2023

% Result   : Theorem 0.15s 0.44s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   4   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 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; 0-2 aty)
%            Number of variables   :   14 (   0 sgn;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(aSatz7_8,conjecture,
    ! [X12,X13,X27,X16] :
      ( s(X12,X13) != X27
      | s(X12,X16) != X27
      | X13 = X16 ),
    file('/export/starexec/sandbox2/tmp/tmp.KZ9kCPBCae/E---3.1_5176.p',aSatz7_8) ).

fof(aSatz7_7,axiom,
    ! [X12,X13] : s(X12,s(X12,X13)) = X13,
    file('/export/starexec/sandbox2/tmp/tmp.KZ9kCPBCae/E---3.1_5176.p',aSatz7_7) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X12,X13,X27,X16] :
        ( s(X12,X13) != X27
        | s(X12,X16) != X27
        | X13 = X16 ),
    inference(assume_negation,[status(cth)],[aSatz7_8]) ).

fof(c_0_3,plain,
    ! [X49,X50] : s(X49,s(X49,X50)) = X50,
    inference(variable_rename,[status(thm)],[aSatz7_7]) ).

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

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

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

cnf(c_0_7,negated_conjecture,
    s(esk1_0,esk2_0) = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    s(esk1_0,esk3_0) = esk4_0,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    esk2_0 != esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% 0.09/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n010.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 06:41:05 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  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.KZ9kCPBCae/E---3.1_5176.p
% 0.15/0.44  # Version: 3.1pre001
% 0.15/0.44  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44  # Starting sh5l with 300s (1) cores
% 0.15/0.44  # new_bool_1 with pid 5255 completed with status 0
% 0.15/0.44  # Result found by new_bool_1
% 0.15/0.44  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44  # Search class: FGUSM-FFMF22-SFFFFFNN
% 0.15/0.44  # partial match(1): FGUSM-FFMF32-SFFFFFNN
% 0.15/0.44  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with 90s (1) cores
% 0.15/0.44  # G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with pid 5258 completed with status 0
% 0.15/0.44  # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I
% 0.15/0.44  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44  # Search class: FGUSM-FFMF22-SFFFFFNN
% 0.15/0.44  # partial match(1): FGUSM-FFMF32-SFFFFFNN
% 0.15/0.44  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with 90s (1) cores
% 0.15/0.44  # Preprocessing time       : 0.001 s
% 0.15/0.44  # Presaturation interreduction done
% 0.15/0.44  
% 0.15/0.44  # Proof found!
% 0.15/0.44  # SZS status Theorem
% 0.15/0.44  # SZS output start CNFRefutation
% See solution above
% 0.15/0.44  # Parsed axioms                        : 110
% 0.15/0.44  # Removed by relevancy pruning/SinE    : 67
% 0.15/0.44  # Initial clauses                      : 47
% 0.15/0.44  # Removed in clause preprocessing      : 0
% 0.15/0.44  # Initial clauses in saturation        : 47
% 0.15/0.44  # Processed clauses                    : 58
% 0.15/0.44  # ...of these trivial                  : 0
% 0.15/0.44  # ...subsumed                          : 1
% 0.15/0.44  # ...remaining for further processing  : 56
% 0.15/0.44  # Other redundant clauses eliminated   : 1
% 0.15/0.44  # Clauses deleted for lack of memory   : 0
% 0.15/0.44  # Backward-subsumed                    : 0
% 0.15/0.44  # Backward-rewritten                   : 0
% 0.15/0.44  # Generated clauses                    : 4
% 0.15/0.44  # ...of the previous two non-redundant : 3
% 0.15/0.44  # ...aggressively subsumed             : 0
% 0.15/0.44  # Contextual simplify-reflections      : 0
% 0.15/0.44  # Paramodulations                      : 3
% 0.15/0.44  # Factorizations                       : 0
% 0.15/0.44  # NegExts                              : 0
% 0.15/0.44  # Equation resolutions                 : 1
% 0.15/0.44  # Total rewrite steps                  : 2
% 0.15/0.44  # Propositional unsat checks           : 0
% 0.15/0.44  #    Propositional check models        : 0
% 0.15/0.44  #    Propositional check unsatisfiable : 0
% 0.15/0.44  #    Propositional clauses             : 0
% 0.15/0.44  #    Propositional clauses after purity: 0
% 0.15/0.44  #    Propositional unsat core size     : 0
% 0.15/0.44  #    Propositional preprocessing time  : 0.000
% 0.15/0.44  #    Propositional encoding time       : 0.000
% 0.15/0.44  #    Propositional solver time         : 0.000
% 0.15/0.44  #    Success case prop preproc time    : 0.000
% 0.15/0.44  #    Success case prop encoding time   : 0.000
% 0.15/0.44  #    Success case prop solver time     : 0.000
% 0.15/0.44  # Current number of processed clauses  : 9
% 0.15/0.44  #    Positive orientable unit clauses  : 6
% 0.15/0.44  #    Positive unorientable unit clauses: 0
% 0.15/0.44  #    Negative unit clauses             : 1
% 0.15/0.44  #    Non-unit-clauses                  : 2
% 0.15/0.44  # Current number of unprocessed clauses: 38
% 0.15/0.44  # ...number of literals in the above   : 119
% 0.15/0.44  # Current number of archived formulas  : 0
% 0.15/0.44  # Current number of archived clauses   : 46
% 0.15/0.44  # Clause-clause subsumption calls (NU) : 925
% 0.15/0.44  # Rec. Clause-clause subsumption calls : 576
% 0.15/0.44  # Non-unit clause-clause subsumptions  : 1
% 0.15/0.44  # Unit Clause-clause subsumption calls : 1
% 0.15/0.44  # Rewrite failures with RHS unbound    : 0
% 0.15/0.44  # BW rewrite match attempts            : 19
% 0.15/0.44  # BW rewrite match successes           : 0
% 0.15/0.44  # Condensation attempts                : 0
% 0.15/0.44  # Condensation successes               : 0
% 0.15/0.44  # Termbank termtop insertions          : 4583
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.005 s
% 0.15/0.44  # System time              : 0.003 s
% 0.15/0.44  # Total time               : 0.008 s
% 0.15/0.44  # Maximum resident set size: 2124 pages
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.009 s
% 0.15/0.44  # System time              : 0.004 s
% 0.15/0.44  # Total time               : 0.013 s
% 0.15/0.44  # Maximum resident set size: 1884 pages
% 0.15/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------