TSTP Solution File: NUN080+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUN080+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sine.py -e eprover -t %d %s

% Computer : n184.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 14:27:08 EST 2019

% Result   : Theorem 0.08s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :   99 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  112 (  44   ~;  31   |;  37   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   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   :   92 (   9 sgn  39   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X4] :
    ? [X5] :
    ! [X6] :
      ( ( id(X6,X5)
        & r2(X4,X6) )
      | ( ~ r2(X4,X6)
        & ~ id(X6,X5) ) ),
    file('/export/starexec/sandbox2/tmp/tmpav_qXB/sel_theBenchmark.p_1',axiom_2) ).

fof(9,axiom,
    ! [X29,X30] :
    ? [X31] :
      ( ? [X32] :
          ( id(X32,X31)
          & ? [X33] :
              ( r2(X30,X33)
              & r3(X29,X33,X32) ) )
      & ? [X34] :
          ( r2(X34,X31)
          & r3(X29,X30,X34) ) ),
    file('/export/starexec/sandbox2/tmp/tmpav_qXB/sel_theBenchmark.p_1',axiom_1a) ).

fof(10,axiom,
    ! [X35] : id(X35,X35),
    file('/export/starexec/sandbox2/tmp/tmpav_qXB/sel_theBenchmark.p_1',axiom_5) ).

fof(13,axiom,
    ! [X42] :
    ? [X43] :
      ( id(X43,X42)
      & ? [X44] :
          ( r1(X44)
          & r3(X42,X44,X43) ) ),
    file('/export/starexec/sandbox2/tmp/tmpav_qXB/sel_theBenchmark.p_1',axiom_4a) ).

fof(15,conjecture,
    ? [X19,X48,X49] :
      ( id(X49,X48)
      & ? [X31] :
          ( r3(X19,X31,X49)
          & ? [X32] :
              ( r2(X32,X31)
              & ? [X50] :
                  ( r1(X50)
                  & r2(X50,X32) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmpav_qXB/sel_theBenchmark.p_1',xplustwoidy) ).

fof(16,negated_conjecture,
    ~ ? [X19,X48,X49] :
        ( id(X49,X48)
        & ? [X31] :
            ( r3(X19,X31,X49)
            & ? [X32] :
                ( r2(X32,X31)
                & ? [X50] :
                    ( r1(X50)
                    & r2(X50,X32) ) ) ) ),
    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(68,plain,
    ! [X35,X36] :
    ? [X37] :
      ( ? [X38] :
          ( id(X38,X37)
          & ? [X39] :
              ( r2(X36,X39)
              & r3(X35,X39,X38) ) )
      & ? [X40] :
          ( r2(X40,X37)
          & r3(X35,X36,X40) ) ),
    inference(variable_rename,[status(thm)],[9]) ).

fof(69,plain,
    ! [X35,X36] :
      ( id(esk8_2(X35,X36),esk7_2(X35,X36))
      & r2(X36,esk9_2(X35,X36))
      & r3(X35,esk9_2(X35,X36),esk8_2(X35,X36))
      & r2(esk10_2(X35,X36),esk7_2(X35,X36))
      & r3(X35,X36,esk10_2(X35,X36)) ),
    inference(skolemize,[status(esa)],[68]) ).

cnf(70,plain,
    r3(X1,X2,esk10_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(73,plain,
    r2(X1,esk9_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[69]) ).

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

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

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

cnf(100,negated_conjecture,
    ( ~ id(X1,X2)
    | ~ r3(X3,X4,X1)
    | ~ r2(X5,X4)
    | ~ 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(161,negated_conjecture,
    ( ~ r1(X1)
    | ~ r2(X1,X4)
    | ~ r2(X4,X3)
    | ~ id(esk10_2(X2,X3),X5) ),
    inference(spm,[status(thm)],[100,70,theory(equality)]) ).

cnf(2027,negated_conjecture,
    ( ~ r1(X1)
    | ~ r2(X1,X2)
    | ~ r2(X2,X3) ),
    inference(spm,[status(thm)],[161,76,theory(equality)]) ).

cnf(2160,negated_conjecture,
    ( ~ r1(X1)
    | ~ r2(esk1_1(X1),X2) ),
    inference(spm,[status(thm)],[2027,118,theory(equality)]) ).

cnf(2268,negated_conjecture,
    ~ r1(X1),
    inference(spm,[status(thm)],[2160,73,theory(equality)]) ).

cnf(2285,plain,
    $false,
    inference(sr,[status(thm)],[92,2268,theory(equality)]) ).

cnf(2286,plain,
    $false,
    2285,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUN080+1 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05  % Command  : sine.py -e eprover -t %d %s
% 0.03/0.25  % Computer : n184.star.cs.uiowa.edu
% 0.03/0.25  % Model    : x86_64 x86_64
% 0.03/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25  % Memory   : 32218.5MB
% 0.03/0.25  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.25  % CPULimit : 300
% 0.03/0.25  % DateTime : Sat Feb 23 22:36:58 CST 2019
% 0.03/0.25  % CPUTime  : 
% 0.03/0.30  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30  --creating new selector for [NUM009+0.ax]
% 0.08/0.42  -running prover on /export/starexec/sandbox2/tmp/tmpav_qXB/sel_theBenchmark.p_1 with time limit 29
% 0.08/0.42  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpav_qXB/sel_theBenchmark.p_1']
% 0.08/0.42  -prover status Theorem
% 0.08/0.42  Problem theBenchmark.p solved in phase 0.
% 0.08/0.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.42  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.42  Solved 1 out of 1.
% 0.08/0.42  # Problem is unsatisfiable (or provable), constructing proof object
% 0.08/0.42  # SZS status Theorem
% 0.08/0.42  # SZS output start CNFRefutation.
% See solution above
% 0.08/0.43  # SZS output end CNFRefutation
%------------------------------------------------------------------------------