TSTP Solution File: NUM341+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM341+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n041.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:02:10 EST 2018

% Result   : Theorem 0.15s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   20 (   4 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   61 (  22   ~;  26   |;  10   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   51 (  12 sgn  18   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X1,X7,X4] :
      ( sum(X7,X4,X1)
    <=> difference(X1,X7,X4) ),
    file('/export/starexec/sandbox/tmp/tmpilf_Mu/sel_theBenchmark.p_1',minus_entry_point) ).

fof(9,conjecture,
    ? [X1,X7,X4] :
      ( sum(X1,X7,X4)
    <=> ( difference(X4,X7,X1)
        & difference(X4,X1,X7) ) ),
    file('/export/starexec/sandbox/tmp/tmpilf_Mu/sel_theBenchmark.p_1',add_same_as_subtract) ).

fof(10,negated_conjecture,
    ~ ? [X1,X7,X4] :
        ( sum(X1,X7,X4)
      <=> ( difference(X4,X7,X1)
          & difference(X4,X1,X7) ) ),
    inference(assume_negation,[status(cth)],[9]) ).

fof(20,plain,
    ! [X1,X7,X4] :
      ( ( ~ sum(X7,X4,X1)
        | difference(X1,X7,X4) )
      & ( ~ difference(X1,X7,X4)
        | sum(X7,X4,X1) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(21,plain,
    ! [X8,X9,X10] :
      ( ( ~ sum(X9,X10,X8)
        | difference(X8,X9,X10) )
      & ( ~ difference(X8,X9,X10)
        | sum(X9,X10,X8) ) ),
    inference(variable_rename,[status(thm)],[20]) ).

cnf(22,plain,
    ( sum(X1,X2,X3)
    | ~ difference(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[21]) ).

cnf(23,plain,
    ( difference(X1,X2,X3)
    | ~ sum(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[21]) ).

fof(32,negated_conjecture,
    ! [X1,X7,X4] :
      ( ( ~ sum(X1,X7,X4)
        | ~ difference(X4,X7,X1)
        | ~ difference(X4,X1,X7) )
      & ( sum(X1,X7,X4)
        | ( difference(X4,X7,X1)
          & difference(X4,X1,X7) ) ) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(33,negated_conjecture,
    ! [X8,X9,X10] :
      ( ( ~ sum(X8,X9,X10)
        | ~ difference(X10,X9,X8)
        | ~ difference(X10,X8,X9) )
      & ( sum(X8,X9,X10)
        | ( difference(X10,X9,X8)
          & difference(X10,X8,X9) ) ) ),
    inference(variable_rename,[status(thm)],[32]) ).

fof(34,negated_conjecture,
    ! [X8,X9,X10] :
      ( ( ~ sum(X8,X9,X10)
        | ~ difference(X10,X9,X8)
        | ~ difference(X10,X8,X9) )
      & ( difference(X10,X9,X8)
        | sum(X8,X9,X10) )
      & ( difference(X10,X8,X9)
        | sum(X8,X9,X10) ) ),
    inference(distribute,[status(thm)],[33]) ).

cnf(35,negated_conjecture,
    ( sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(37,negated_conjecture,
    ( ~ difference(X1,X2,X3)
    | ~ difference(X1,X3,X2)
    | ~ sum(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(38,plain,
    sum(X1,X2,X3),
    inference(csr,[status(thm)],[22,35]) ).

cnf(41,plain,
    ( difference(X1,X2,X3)
    | $false ),
    inference(rw,[status(thm)],[23,38,theory(equality)]) ).

cnf(42,plain,
    difference(X1,X2,X3),
    inference(cn,[status(thm)],[41,theory(equality)]) ).

cnf(65,negated_conjecture,
    ( $false
    | ~ difference(X1,X3,X2)
    | ~ difference(X1,X2,X3) ),
    inference(rw,[status(thm)],[37,38,theory(equality)]) ).

cnf(66,negated_conjecture,
    ( $false
    | $false
    | ~ difference(X1,X2,X3) ),
    inference(rw,[status(thm)],[65,42,theory(equality)]) ).

cnf(67,negated_conjecture,
    ( $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[66,42,theory(equality)]) ).

cnf(68,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[67,theory(equality)]) ).

cnf(69,negated_conjecture,
    $false,
    68,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM341+1 : TPTP v7.0.0. Released v3.1.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n041.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.625MB
% 0.02/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Jan  5 01:20:15 CST 2018
% 0.06/0.23  % CPUTime  : 
% 0.06/0.43  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.43  --creating new selector for [NUM005+0.ax, NUM005+1.ax, NUM005+2.ax]
% 0.15/1.26  -running prover on /export/starexec/sandbox/tmp/tmpilf_Mu/sel_theBenchmark.p_1 with time limit 29
% 0.15/1.26  -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/tmpilf_Mu/sel_theBenchmark.p_1']
% 0.15/1.26  -prover status Theorem
% 0.15/1.26  Problem theBenchmark.p solved in phase 0.
% 0.15/1.26  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/1.26  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/1.27  Solved 1 out of 1.
% 0.15/1.27  # Problem is unsatisfiable (or provable), constructing proof object
% 0.15/1.27  # SZS status Theorem
% 0.15/1.27  # SZS output start CNFRefutation.
% See solution above
% 0.15/1.27  # SZS output end CNFRefutation
%------------------------------------------------------------------------------