TSTP Solution File: SWW297+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW297+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.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  : 600s
% DateTime : Thu Jul 21 00:10:30 EDT 2022

% Result   : Theorem 0.94s 2.12s
% Output   : CNFRefutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  12   ~;   9   |;   3   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    ( ! [X298,X299] :
        ( v_fun1(X298,X299)
       => ! [X300] :
            ( c_Natural_Oevaln(v_com,X299,hAPP(c_Nat_OSuc,v_n),X300)
           => v_fun2(X298,X300) ) )
   => ! [X298,X299] :
        ( v_fun1(X298,X299)
       => ! [X300] :
            ( c_Natural_Oevaln(v_com,X299,v_n,X300)
           => v_fun2(X298,X300) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(fact_evaln__Suc,axiom,
    ! [X4,X5,X6,X7] :
      ( c_Natural_Oevaln(X7,X6,X5,X4)
     => c_Natural_Oevaln(X7,X6,hAPP(c_Nat_OSuc,X5),X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_evaln__Suc) ).

fof(c_0_2,negated_conjecture,
    ~ ( ! [X298,X299] :
          ( v_fun1(X298,X299)
         => ! [X300] :
              ( c_Natural_Oevaln(v_com,X299,hAPP(c_Nat_OSuc,v_n),X300)
             => v_fun2(X298,X300) ) )
     => ! [X298,X299] :
          ( v_fun1(X298,X299)
         => ! [X300] :
              ( c_Natural_Oevaln(v_com,X299,v_n,X300)
             => v_fun2(X298,X300) ) ) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_3,negated_conjecture,
    ! [X301,X302,X303] :
      ( ( ~ v_fun1(X301,X302)
        | ~ c_Natural_Oevaln(v_com,X302,hAPP(c_Nat_OSuc,v_n),X303)
        | v_fun2(X301,X303) )
      & v_fun1(esk1_0,esk2_0)
      & c_Natural_Oevaln(v_com,esk2_0,v_n,esk3_0)
      & ~ v_fun2(esk1_0,esk3_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).

fof(c_0_4,plain,
    ! [X8,X9,X10,X11] :
      ( ~ c_Natural_Oevaln(X11,X10,X9,X8)
      | c_Natural_Oevaln(X11,X10,hAPP(c_Nat_OSuc,X9),X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evaln__Suc])]) ).

cnf(c_0_5,negated_conjecture,
    ( v_fun2(X1,X2)
    | ~ c_Natural_Oevaln(v_com,X3,hAPP(c_Nat_OSuc,v_n),X2)
    | ~ v_fun1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( c_Natural_Oevaln(X1,X2,hAPP(c_Nat_OSuc,X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( v_fun2(X1,X2)
    | ~ v_fun1(X1,X3)
    | ~ c_Natural_Oevaln(v_com,X3,v_n,X2) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    c_Natural_Oevaln(v_com,esk2_0,v_n,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ~ v_fun2(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    ( v_fun2(X1,esk3_0)
    | ~ v_fun1(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    v_fun1(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW297+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun  5 02:09:33 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.94/2.12  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.94/2.12  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.94/2.12  # Preprocessing time       : 0.231 s
% 0.94/2.12  
% 0.94/2.12  # Proof found!
% 0.94/2.12  # SZS status Theorem
% 0.94/2.12  # SZS output start CNFRefutation
% See solution above
% 0.94/2.12  # Proof object total steps             : 13
% 0.94/2.12  # Proof object clause steps            : 8
% 0.94/2.12  # Proof object formula steps           : 5
% 0.94/2.12  # Proof object conjectures             : 10
% 0.94/2.12  # Proof object clause conjectures      : 7
% 0.94/2.12  # Proof object formula conjectures     : 3
% 0.94/2.12  # Proof object initial clauses used    : 5
% 0.94/2.12  # Proof object initial formulas used   : 2
% 0.94/2.12  # Proof object generating inferences   : 3
% 0.94/2.12  # Proof object simplifying inferences  : 2
% 0.94/2.12  # Training examples: 0 positive, 0 negative
% 0.94/2.12  # Parsed axioms                        : 5225
% 0.94/2.12  # Removed by relevancy pruning/SinE    : 5124
% 0.94/2.12  # Initial clauses                      : 175
% 0.94/2.12  # Removed in clause preprocessing      : 7
% 0.94/2.12  # Initial clauses in saturation        : 168
% 0.94/2.12  # Processed clauses                    : 174
% 0.94/2.12  # ...of these trivial                  : 6
% 0.94/2.12  # ...subsumed                          : 44
% 0.94/2.12  # ...remaining for further processing  : 124
% 0.94/2.12  # Other redundant clauses eliminated   : 17
% 0.94/2.12  # Clauses deleted for lack of memory   : 0
% 0.94/2.12  # Backward-subsumed                    : 0
% 0.94/2.12  # Backward-rewritten                   : 4
% 0.94/2.12  # Generated clauses                    : 915
% 0.94/2.12  # ...of the previous two non-trivial   : 840
% 0.94/2.12  # Contextual simplify-reflections      : 0
% 0.94/2.12  # Paramodulations                      : 893
% 0.94/2.12  # Factorizations                       : 0
% 0.94/2.12  # Equation resolutions                 : 22
% 0.94/2.12  # Current number of processed clauses  : 116
% 0.94/2.12  #    Positive orientable unit clauses  : 16
% 0.94/2.12  #    Positive unorientable unit clauses: 1
% 0.94/2.12  #    Negative unit clauses             : 5
% 0.94/2.12  #    Non-unit-clauses                  : 94
% 0.94/2.12  # Current number of unprocessed clauses: 829
% 0.94/2.12  # ...number of literals in the above   : 2346
% 0.94/2.12  # Current number of archived formulas  : 0
% 0.94/2.12  # Current number of archived clauses   : 4
% 0.94/2.12  # Clause-clause subsumption calls (NU) : 846
% 0.94/2.12  # Rec. Clause-clause subsumption calls : 800
% 0.94/2.12  # Non-unit clause-clause subsumptions  : 37
% 0.94/2.12  # Unit Clause-clause subsumption calls : 7
% 0.94/2.12  # Rewrite failures with RHS unbound    : 0
% 0.94/2.12  # BW rewrite match attempts            : 34
% 0.94/2.12  # BW rewrite match successes           : 6
% 0.94/2.12  # Condensation attempts                : 0
% 0.94/2.12  # Condensation successes               : 0
% 0.94/2.12  # Termbank termtop insertions          : 161289
% 0.94/2.12  
% 0.94/2.12  # -------------------------------------------------
% 0.94/2.12  # User time                : 0.240 s
% 0.94/2.12  # System time              : 0.012 s
% 0.94/2.12  # Total time               : 0.252 s
% 0.94/2.12  # Maximum resident set size: 13892 pages
% 0.94/24.11  eprover: CPU time limit exceeded, terminating
% 0.94/24.13  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13  eprover: No such file or directory
% 0.94/24.13  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13  eprover: No such file or directory
% 0.94/24.14  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14  eprover: No such file or directory
% 0.94/24.14  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14  eprover: No such file or directory
% 0.94/24.15  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15  eprover: No such file or directory
% 0.94/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16  eprover: No such file or directory
% 0.94/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16  eprover: No such file or directory
% 0.94/24.17  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17  eprover: No such file or directory
% 0.94/24.17  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17  eprover: No such file or directory
% 0.94/24.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.18  eprover: No such file or directory
% 0.94/24.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.18  eprover: No such file or directory
%------------------------------------------------------------------------------