TSTP Solution File: NUN070+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUN070+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sine.py -e eprover -t %d %s

% Computer : n191.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.5MB
% OS       : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 14:27:06 EST 2019

% Result   : Theorem 0.46s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (  10 unt;   0 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  147 (  66   ~;  52   |;  29   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-1 aty)
%            Number of variables   :   83 (   2 sgn  33   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X4] :
    ? [X5] :
    ! [X6] :
      ( ( id(X6,X5)
        & r2(X4,X6) )
      | ( ~ r2(X4,X6)
        & ~ id(X6,X5) ) ),
    file('/export/starexec/sandbox/tmp/tmpQppAUy/sel_theBenchmark.p_1',axiom_2) ).

fof(10,axiom,
    ! [X35] : id(X35,X35),
    file('/export/starexec/sandbox/tmp/tmpQppAUy/sel_theBenchmark.p_1',axiom_5) ).

fof(13,axiom,
    ! [X42] :
    ? [X43] :
      ( id(X43,X42)
      & ? [X44] :
          ( r1(X44)
          & r3(X42,X44,X43) ) ),
    file('/export/starexec/sandbox/tmp/tmpQppAUy/sel_theBenchmark.p_1',axiom_4a) ).

fof(15,conjecture,
    ? [X19] :
      ( ? [X48] :
          ( ? [X31] :
              ( r1(X31)
              & r3(X48,X31,X19) )
          & ? [X32] :
              ( r1(X32)
              & r2(X32,X48) ) )
      & ? [X49] :
          ( id(X19,X49)
          & ? [X50] :
              ( r1(X50)
              & r2(X50,X49) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpQppAUy/sel_theBenchmark.p_1',onepluszeroidone) ).

fof(16,negated_conjecture,
    ~ ? [X19] :
        ( ? [X48] :
            ( ? [X31] :
                ( r1(X31)
                & r3(X48,X31,X19) )
            & ? [X32] :
                ( r1(X32)
                & r2(X32,X48) ) )
        & ? [X49] :
            ( id(X19,X49)
            & ? [X50] :
                ( r1(X50)
                & r2(X50,X49) ) ) ),
    inference(assume_negation,[status(cth)],[15]) ).

fof(18,plain,
    ! [X4] :
    ? [X5] :
    ! [X6] :
      ( ( id(X6,X5)
        & r2(X4,X6) )
      | ( ~ r2(X4,X6)
        & ~ id(X6,X5) ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(29,plain,
    ! [X7] :
    ? [X8] :
    ! [X9] :
      ( ( id(X9,X8)
        & r2(X7,X9) )
      | ( ~ r2(X7,X9)
        & ~ id(X9,X8) ) ),
    inference(variable_rename,[status(thm)],[18]) ).

fof(30,plain,
    ! [X7,X9] :
      ( ( id(X9,esk1_1(X7))
        & r2(X7,X9) )
      | ( ~ r2(X7,X9)
        & ~ id(X9,esk1_1(X7)) ) ),
    inference(skolemize,[status(esa)],[29]) ).

fof(31,plain,
    ! [X7,X9] :
      ( ( ~ r2(X7,X9)
        | id(X9,esk1_1(X7)) )
      & ( ~ id(X9,esk1_1(X7))
        | id(X9,esk1_1(X7)) )
      & ( ~ r2(X7,X9)
        | r2(X7,X9) )
      & ( ~ id(X9,esk1_1(X7))
        | r2(X7,X9) ) ),
    inference(distribute,[status(thm)],[30]) ).

cnf(32,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[31]) ).

fof(75,plain,
    ! [X36] : id(X36,X36),
    inference(variable_rename,[status(thm)],[10]) ).

cnf(76,plain,
    id(X1,X1),
    inference(split_conjunct,[status(thm)],[75]) ).

fof(89,plain,
    ! [X45] :
    ? [X46] :
      ( id(X46,X45)
      & ? [X47] :
          ( r1(X47)
          & r3(X45,X47,X46) ) ),
    inference(variable_rename,[status(thm)],[13]) ).

fof(90,plain,
    ! [X45] :
      ( id(esk11_1(X45),X45)
      & r1(esk12_1(X45))
      & r3(X45,esk12_1(X45),esk11_1(X45)) ),
    inference(skolemize,[status(esa)],[89]) ).

cnf(91,plain,
    r3(X1,esk12_1(X1),esk11_1(X1)),
    inference(split_conjunct,[status(thm)],[90]) ).

cnf(92,plain,
    r1(esk12_1(X1)),
    inference(split_conjunct,[status(thm)],[90]) ).

cnf(93,plain,
    id(esk11_1(X1),X1),
    inference(split_conjunct,[status(thm)],[90]) ).

fof(97,negated_conjecture,
    ! [X19] :
      ( ! [X48] :
          ( ! [X31] :
              ( ~ r1(X31)
              | ~ r3(X48,X31,X19) )
          | ! [X32] :
              ( ~ r1(X32)
              | ~ r2(X32,X48) ) )
      | ! [X49] :
          ( ~ id(X19,X49)
          | ! [X50] :
              ( ~ r1(X50)
              | ~ r2(X50,X49) ) ) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(98,negated_conjecture,
    ! [X51] :
      ( ! [X52] :
          ( ! [X53] :
              ( ~ r1(X53)
              | ~ r3(X52,X53,X51) )
          | ! [X54] :
              ( ~ r1(X54)
              | ~ r2(X54,X52) ) )
      | ! [X55] :
          ( ~ id(X51,X55)
          | ! [X56] :
              ( ~ r1(X56)
              | ~ r2(X56,X55) ) ) ),
    inference(variable_rename,[status(thm)],[97]) ).

fof(99,negated_conjecture,
    ! [X51,X52,X53,X54,X55,X56] :
      ( ~ r1(X56)
      | ~ r2(X56,X55)
      | ~ id(X51,X55)
      | ~ r1(X54)
      | ~ r2(X54,X52)
      | ~ r1(X53)
      | ~ r3(X52,X53,X51) ),
    inference(shift_quantors,[status(thm)],[98]) ).

cnf(100,negated_conjecture,
    ( ~ r3(X1,X2,X3)
    | ~ r1(X2)
    | ~ r2(X4,X1)
    | ~ r1(X4)
    | ~ id(X3,X5)
    | ~ r2(X6,X5)
    | ~ r1(X6) ),
    inference(split_conjunct,[status(thm)],[99]) ).

cnf(118,plain,
    r2(X1,esk1_1(X1)),
    inference(spm,[status(thm)],[32,76,theory(equality)]) ).

cnf(168,negated_conjecture,
    ( ~ r1(X1)
    | ~ r1(X2)
    | ~ r1(esk12_1(X3))
    | ~ r2(X1,X4)
    | ~ r2(X2,X3)
    | ~ id(esk11_1(X3),X4) ),
    inference(spm,[status(thm)],[100,91,theory(equality)]) ).

cnf(170,negated_conjecture,
    ( ~ r1(X1)
    | ~ r1(X2)
    | $false
    | ~ r2(X1,X4)
    | ~ r2(X2,X3)
    | ~ id(esk11_1(X3),X4) ),
    inference(rw,[status(thm)],[168,92,theory(equality)]) ).

cnf(171,negated_conjecture,
    ( ~ r1(X1)
    | ~ r1(X2)
    | ~ r2(X1,X4)
    | ~ r2(X2,X3)
    | ~ id(esk11_1(X3),X4) ),
    inference(cn,[status(thm)],[170,theory(equality)]) ).

cnf(2418,negated_conjecture,
    ( ~ r1(X1)
    | ~ r1(X2)
    | ~ r2(X1,X3)
    | ~ r2(X2,X3) ),
    inference(spm,[status(thm)],[171,93,theory(equality)]) ).

cnf(29252,negated_conjecture,
    ( ~ r1(X1)
    | ~ r1(X2)
    | ~ r2(X2,esk1_1(X1)) ),
    inference(spm,[status(thm)],[2418,118,theory(equality)]) ).

cnf(29263,negated_conjecture,
    ~ r1(X1),
    inference(spm,[status(thm)],[29252,118,theory(equality)]) ).

cnf(29315,plain,
    $false,
    inference(sr,[status(thm)],[92,29263,theory(equality)]) ).

cnf(29316,plain,
    $false,
    29315,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUN070+1 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05  % Command  : sine.py -e eprover -t %d %s
% 0.04/0.25  % Computer : n191.star.cs.uiowa.edu
% 0.04/0.25  % Model    : x86_64 x86_64
% 0.04/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.04/0.25  % Memory   : 32218.5MB
% 0.04/0.25  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.04/0.25  % CPULimit : 300
% 0.04/0.25  % DateTime : Sat Feb 23 19:56:26 CST 2019
% 0.04/0.25  % CPUTime  : 
% 0.04/0.30  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30  --creating new selector for [NUM009+0.ax]
% 0.46/0.76  -running prover on /export/starexec/sandbox/tmp/tmpQppAUy/sel_theBenchmark.p_1 with time limit 29
% 0.46/0.76  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpQppAUy/sel_theBenchmark.p_1']
% 0.46/0.76  -prover status Theorem
% 0.46/0.76  Problem theBenchmark.p solved in phase 0.
% 0.46/0.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.76  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.76  Solved 1 out of 1.
% 0.46/0.76  # Problem is unsatisfiable (or provable), constructing proof object
% 0.46/0.76  # SZS status Theorem
% 0.46/0.76  # SZS output start CNFRefutation.
% See solution above
% 0.46/0.76  # SZS output end CNFRefutation
%------------------------------------------------------------------------------