TSTP Solution File: COM018+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 17:21:16 EDT 2023

% Result   : Theorem 0.24s 0.56s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (   9   ~;   6   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   1 sgn;   5   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] : aNormalFormOfIn0(X1,xw,xR),
    file('/export/starexec/sandbox2/tmp/tmp.MYCNOKfflu/E---3.1_15489.p',m__) ).

fof(mTermNF,axiom,
    ! [X1] :
      ( ( aRewritingSystem0(X1)
        & isTerminating0(X1) )
     => ! [X2] :
          ( aElement0(X2)
         => ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MYCNOKfflu/E---3.1_15489.p',mTermNF) ).

fof(m__656_01,hypothesis,
    ( isLocallyConfluent0(xR)
    & isTerminating0(xR) ),
    file('/export/starexec/sandbox2/tmp/tmp.MYCNOKfflu/E---3.1_15489.p',m__656_01) ).

fof(m__656,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/tmp/tmp.MYCNOKfflu/E---3.1_15489.p',m__656) ).

fof(m__799,hypothesis,
    ( aElement0(xw)
    & sdtmndtasgtdt0(xu,xR,xw)
    & sdtmndtasgtdt0(xv,xR,xw) ),
    file('/export/starexec/sandbox2/tmp/tmp.MYCNOKfflu/E---3.1_15489.p',m__799) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1] : aNormalFormOfIn0(X1,xw,xR),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_6,negated_conjecture,
    ! [X10] : ~ aNormalFormOfIn0(X10,xw,xR),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

fof(c_0_7,plain,
    ! [X20,X21] :
      ( ~ aRewritingSystem0(X20)
      | ~ isTerminating0(X20)
      | ~ aElement0(X21)
      | aNormalFormOfIn0(esk4_2(X20,X21),X21,X20) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTermNF])])])]) ).

cnf(c_0_8,negated_conjecture,
    ~ aNormalFormOfIn0(X1,xw,xR),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( aNormalFormOfIn0(esk4_2(X1,X2),X2,X1)
    | ~ aRewritingSystem0(X1)
    | ~ isTerminating0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,hypothesis,
    isTerminating0(xR),
    inference(split_conjunct,[status(thm)],[m__656_01]) ).

cnf(c_0_11,hypothesis,
    aRewritingSystem0(xR),
    inference(split_conjunct,[status(thm)],[m__656]) ).

cnf(c_0_12,hypothesis,
    aElement0(xw),
    inference(split_conjunct,[status(thm)],[m__799]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15  % Problem    : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.16  % Command    : run_E %s %d THM
% 0.17/0.38  % Computer : n022.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 2400
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Tue Oct  3 04:56:39 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.24/0.54  Running first-order theorem proving
% 0.24/0.54  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.MYCNOKfflu/E---3.1_15489.p
% 0.24/0.56  # Version: 3.1pre001
% 0.24/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.24/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.24/0.56  # Starting sh5l with 300s (1) cores
% 0.24/0.56  # new_bool_3 with pid 15568 completed with status 0
% 0.24/0.56  # Result found by new_bool_3
% 0.24/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.24/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.56  # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.24/0.56  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.24/0.56  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 15571 completed with status 0
% 0.24/0.56  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 0.24/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.24/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.56  # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.24/0.56  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.24/0.56  # Preprocessing time       : 0.002 s
% 0.24/0.56  # Presaturation interreduction done
% 0.24/0.56  
% 0.24/0.56  # Proof found!
% 0.24/0.56  # SZS status Theorem
% 0.24/0.56  # SZS output start CNFRefutation
% See solution above
% 0.24/0.56  # Parsed axioms                        : 23
% 0.24/0.56  # Removed by relevancy pruning/SinE    : 1
% 0.24/0.56  # Initial clauses                      : 55
% 0.24/0.56  # Removed in clause preprocessing      : 4
% 0.24/0.56  # Initial clauses in saturation        : 51
% 0.24/0.56  # Processed clauses                    : 88
% 0.24/0.56  # ...of these trivial                  : 0
% 0.24/0.56  # ...subsumed                          : 0
% 0.24/0.56  # ...remaining for further processing  : 88
% 0.24/0.56  # Other redundant clauses eliminated   : 1
% 0.24/0.56  # Clauses deleted for lack of memory   : 0
% 0.24/0.56  # Backward-subsumed                    : 0
% 0.24/0.56  # Backward-rewritten                   : 0
% 0.24/0.56  # Generated clauses                    : 12
% 0.24/0.56  # ...of the previous two non-redundant : 6
% 0.24/0.56  # ...aggressively subsumed             : 0
% 0.24/0.56  # Contextual simplify-reflections      : 8
% 0.24/0.56  # Paramodulations                      : 11
% 0.24/0.56  # Factorizations                       : 0
% 0.24/0.56  # NegExts                              : 0
% 0.24/0.56  # Equation resolutions                 : 1
% 0.24/0.56  # Total rewrite steps                  : 23
% 0.24/0.56  # Propositional unsat checks           : 0
% 0.24/0.56  #    Propositional check models        : 0
% 0.24/0.56  #    Propositional check unsatisfiable : 0
% 0.24/0.56  #    Propositional clauses             : 0
% 0.24/0.56  #    Propositional clauses after purity: 0
% 0.24/0.56  #    Propositional unsat core size     : 0
% 0.24/0.56  #    Propositional preprocessing time  : 0.000
% 0.24/0.56  #    Propositional encoding time       : 0.000
% 0.24/0.56  #    Propositional solver time         : 0.000
% 0.24/0.56  #    Success case prop preproc time    : 0.000
% 0.24/0.56  #    Success case prop encoding time   : 0.000
% 0.24/0.56  #    Success case prop solver time     : 0.000
% 0.24/0.56  # Current number of processed clauses  : 36
% 0.24/0.56  #    Positive orientable unit clauses  : 17
% 0.24/0.56  #    Positive unorientable unit clauses: 0
% 0.24/0.56  #    Negative unit clauses             : 1
% 0.24/0.56  #    Non-unit-clauses                  : 18
% 0.24/0.56  # Current number of unprocessed clauses: 20
% 0.24/0.56  # ...number of literals in the above   : 101
% 0.24/0.56  # Current number of archived formulas  : 0
% 0.24/0.56  # Current number of archived clauses   : 51
% 0.24/0.56  # Clause-clause subsumption calls (NU) : 301
% 0.24/0.56  # Rec. Clause-clause subsumption calls : 59
% 0.24/0.56  # Non-unit clause-clause subsumptions  : 8
% 0.24/0.56  # Unit Clause-clause subsumption calls : 0
% 0.24/0.56  # Rewrite failures with RHS unbound    : 0
% 0.24/0.56  # BW rewrite match attempts            : 6
% 0.24/0.56  # BW rewrite match successes           : 0
% 0.24/0.56  # Condensation attempts                : 0
% 0.24/0.56  # Condensation successes               : 0
% 0.24/0.56  # Termbank termtop insertions          : 3950
% 0.24/0.56  
% 0.24/0.56  # -------------------------------------------------
% 0.24/0.56  # User time                : 0.008 s
% 0.24/0.56  # System time              : 0.005 s
% 0.24/0.56  # Total time               : 0.013 s
% 0.24/0.56  # Maximum resident set size: 1876 pages
% 0.24/0.56  
% 0.24/0.56  # -------------------------------------------------
% 0.24/0.56  # User time                : 0.010 s
% 0.24/0.56  # System time              : 0.007 s
% 0.24/0.56  # Total time               : 0.017 s
% 0.24/0.56  # Maximum resident set size: 1708 pages
% 0.24/0.56  % E---3.1 exiting
% 0.24/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------