TSTP Solution File: NUN060+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUN060+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 : Mon Jul 18 16:26:01 EDT 2022

% Result   : Theorem 0.21s 1.41s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  111 (  46   ~;  36   |;  29   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   0 con; 1-2 aty)
%            Number of variables   :   85 (  10 sgn  22   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(greq4id,conjecture,
    ? [X63,X46,X47] :
      ( id(X47,X63)
      & ? [X40] :
          ( r3(X46,X40,X47)
          & ? [X41] :
              ( r2(X41,X40)
              & ? [X49] :
                  ( r2(X49,X41)
                  & ? [X43] :
                      ( r2(X43,X49)
                      & ? [X58] :
                          ( r1(X58)
                          & r2(X58,X43) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',greq4id) ).

fof(axiom_1a,axiom,
    ! [X38,X39] :
    ? [X40] :
      ( ? [X41] :
          ( id(X41,X40)
          & ? [X42] :
              ( r2(X39,X42)
              & r3(X38,X42,X41) ) )
      & ? [X43] :
          ( r2(X43,X40)
          & r3(X38,X39,X43) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).

fof(axiom_6,axiom,
    ! [X15,X16] :
      ( ~ id(X15,X16)
      | id(X16,X15) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).

fof(axiom_4a,axiom,
    ! [X54] :
    ? [X55] :
      ( id(X55,X54)
      & ? [X56] :
          ( r1(X56)
          & r3(X54,X56,X55) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).

fof(axiom_2,axiom,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( id(X5,X4)
        & r2(X3,X5) )
      | ( ~ r2(X3,X5)
        & ~ id(X5,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X63,X46,X47] :
        ( id(X47,X63)
        & ? [X40] :
            ( r3(X46,X40,X47)
            & ? [X41] :
                ( r2(X41,X40)
                & ? [X49] :
                    ( r2(X49,X41)
                    & ? [X43] :
                        ( r2(X43,X49)
                        & ? [X58] :
                            ( r1(X58)
                            & r2(X58,X43) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[greq4id]) ).

fof(c_0_6,negated_conjecture,
    ! [X64,X65,X66,X67,X68,X69,X70,X71] :
      ( ~ id(X66,X64)
      | ~ r3(X65,X67,X66)
      | ~ r2(X68,X67)
      | ~ r2(X69,X68)
      | ~ r2(X70,X69)
      | ~ r1(X71)
      | ~ r2(X71,X70) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).

fof(c_0_7,plain,
    ! [X44,X45] :
      ( id(esk3_2(X44,X45),esk2_2(X44,X45))
      & r2(X45,esk4_2(X44,X45))
      & r3(X44,esk4_2(X44,X45),esk3_2(X44,X45))
      & r2(esk5_2(X44,X45),esk2_2(X44,X45))
      & r3(X44,X45,esk5_2(X44,X45)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_1a])])])]) ).

fof(c_0_8,plain,
    ! [X17,X18] :
      ( ~ id(X17,X18)
      | id(X18,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_6])]) ).

fof(c_0_9,plain,
    ! [X57] :
      ( id(esk10_1(X57),X57)
      & r1(esk11_1(X57))
      & r3(X57,esk11_1(X57),esk10_1(X57)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r1(X1)
    | ~ r2(X2,X3)
    | ~ r2(X3,X4)
    | ~ r2(X4,X5)
    | ~ r3(X6,X5,X7)
    | ~ id(X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    r3(X1,X2,esk5_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    id(esk10_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_14,plain,
    ! [X6,X8] :
      ( ( ~ r2(X6,X8)
        | id(X8,esk1_1(X6)) )
      & ( ~ id(X8,esk1_1(X6))
        | id(X8,esk1_1(X6)) )
      & ( ~ r2(X6,X8)
        | r2(X6,X8) )
      & ( ~ id(X8,esk1_1(X6))
        | r2(X6,X8) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r2(X5,X4)
    | ~ r1(X5)
    | ~ id(esk5_2(X6,X2),X7) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,plain,
    id(X1,esk10_1(X1)),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r2(X5,X4)
    | ~ r1(X5) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    r2(X1,esk10_1(esk1_1(X1))),
    inference(spm,[status(thm)],[c_0_17,c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r1(X4) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r1(X3) ),
    inference(spm,[status(thm)],[c_0_20,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_19]) ).

cnf(c_0_23,plain,
    r1(esk11_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_24,negated_conjecture,
    ~ r1(X1),
    inference(spm,[status(thm)],[c_0_22,c_0_19]) ).

cnf(c_0_25,plain,
    $false,
    inference(sr,[status(thm)],[c_0_23,c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUN060+1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  2 09:11:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.21/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.41  # Preprocessing time       : 0.016 s
% 0.21/1.41  
% 0.21/1.41  # Proof found!
% 0.21/1.41  # SZS status Theorem
% 0.21/1.41  # SZS output start CNFRefutation
% See solution above
% 0.21/1.41  # Proof object total steps             : 26
% 0.21/1.41  # Proof object clause steps            : 15
% 0.21/1.41  # Proof object formula steps           : 11
% 0.21/1.41  # Proof object conjectures             : 10
% 0.21/1.41  # Proof object clause conjectures      : 7
% 0.21/1.41  # Proof object formula conjectures     : 3
% 0.21/1.41  # Proof object initial clauses used    : 6
% 0.21/1.41  # Proof object initial formulas used   : 5
% 0.21/1.41  # Proof object generating inferences   : 8
% 0.21/1.41  # Proof object simplifying inferences  : 1
% 0.21/1.41  # Training examples: 0 positive, 0 negative
% 0.21/1.41  # Parsed axioms                        : 19
% 0.21/1.41  # Removed by relevancy pruning/SinE    : 4
% 0.21/1.41  # Initial clauses                      : 42
% 0.21/1.41  # Removed in clause preprocessing      : 12
% 0.21/1.41  # Initial clauses in saturation        : 30
% 0.21/1.41  # Processed clauses                    : 121
% 0.21/1.41  # ...of these trivial                  : 1
% 0.21/1.41  # ...subsumed                          : 20
% 0.21/1.41  # ...remaining for further processing  : 100
% 0.21/1.41  # Other redundant clauses eliminated   : 0
% 0.21/1.41  # Clauses deleted for lack of memory   : 0
% 0.21/1.41  # Backward-subsumed                    : 7
% 0.21/1.41  # Backward-rewritten                   : 0
% 0.21/1.41  # Generated clauses                    : 423
% 0.21/1.41  # ...of the previous two non-trivial   : 357
% 0.21/1.41  # Contextual simplify-reflections      : 0
% 0.21/1.41  # Paramodulations                      : 415
% 0.21/1.41  # Factorizations                       : 0
% 0.21/1.41  # Equation resolutions                 : 0
% 0.21/1.41  # Current number of processed clauses  : 85
% 0.21/1.41  #    Positive orientable unit clauses  : 24
% 0.21/1.41  #    Positive unorientable unit clauses: 0
% 0.21/1.41  #    Negative unit clauses             : 6
% 0.21/1.41  #    Non-unit-clauses                  : 55
% 0.21/1.41  # Current number of unprocessed clauses: 205
% 0.21/1.41  # ...number of literals in the above   : 522
% 0.21/1.41  # Current number of archived formulas  : 0
% 0.21/1.41  # Current number of archived clauses   : 15
% 0.21/1.41  # Clause-clause subsumption calls (NU) : 755
% 0.21/1.41  # Rec. Clause-clause subsumption calls : 503
% 0.21/1.41  # Non-unit clause-clause subsumptions  : 23
% 0.21/1.41  # Unit Clause-clause subsumption calls : 353
% 0.21/1.41  # Rewrite failures with RHS unbound    : 0
% 0.21/1.41  # BW rewrite match attempts            : 14
% 0.21/1.41  # BW rewrite match successes           : 0
% 0.21/1.41  # Condensation attempts                : 0
% 0.21/1.41  # Condensation successes               : 0
% 0.21/1.41  # Termbank termtop insertions          : 6292
% 0.21/1.41  
% 0.21/1.41  # -------------------------------------------------
% 0.21/1.41  # User time                : 0.024 s
% 0.21/1.41  # System time              : 0.003 s
% 0.21/1.41  # Total time               : 0.027 s
% 0.21/1.41  # Maximum resident set size: 3284 pages
% 0.21/23.41  eprover: CPU time limit exceeded, terminating
% 0.21/23.42  eprover: CPU time limit exceeded, terminating
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.48  eprover: No such file or directory
% 0.21/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------