TSTP Solution File: GEO497+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO497+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n130.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Jan 20 10:18:34 EST 2017

% Result   : Theorem 0.86s
% Output   : CNFRefutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   82 (  22 unt;   0 def)
%            Number of atoms       :  283 (  36 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  342 ( 141   ~; 150   |;  51   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-4 aty)
%            Number of variables   :  222 (  12 sgn 123   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X1,X2,X9,X7] :
      ( s_t(X1,X2,ext(X1,X2,X9,X7))
      & s_e(X2,ext(X1,X2,X9,X7),X9,X7) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aA4) ).

fof(5,axiom,
    ! [X1,X2,X5] :
      ( ~ s_e(X1,X2,X5,X5)
      | equal(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aA3) ).

fof(16,axiom,
    ! [X12,X19,X13] :
      ( ( ~ sameside(X12,X19,X13)
        | ~ equal(X12,X19) )
      & ( ~ sameside(X12,X19,X13)
        | ~ equal(X13,X19) )
      & ( ~ sameside(X12,X19,X13)
        | s_t(X19,X12,X13)
        | s_t(X19,X13,X12) )
      & ( ~ s_t(X19,X12,X13)
        | equal(X12,X19)
        | equal(xb,X19)
        | sameside(X12,X19,X13) )
      & ( ~ s_t(X19,X13,X12)
        | equal(X12,X19)
        | equal(X13,X19)
        | sameside(X12,X19,X13) ) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',d_Defn6_1) ).

fof(23,axiom,
    ! [X12,X13,X16,X17] : equal(insert(X12,X13,X16,X17),ext(ext(X17,X16,alpha,gamma),X16,X12,X13)),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',d_insert) ).

fof(30,axiom,
    ! [X12,X13,X14,X15,X2] :
      ( ( ~ le(X12,X13,X14,X15)
        | s_t(X14,insert(X12,X13,X14,X15),X15) )
      & ( ~ le(X12,X13,X14,X15)
        | s_e(X12,X13,X14,insert(X12,X13,X14,X15)) )
      & ( ~ s_t(X14,X2,X15)
        | ~ s_e(X12,X13,X14,X2)
        | le(X12,X13,X14,X15) ) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',d_Defn5_4) ).

fof(31,axiom,
    ! [X12,X19,X13] :
      ( ( ~ sameside(X12,X19,X13)
        | s_col(X12,X19,X13) )
      & ( ~ sameside(X12,X19,X13)
        | ~ s_t(X12,X19,X13) ) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz6_4a) ).

fof(37,axiom,
    ! [X16,X18] : s_t(X16,X16,X18),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz3_3) ).

fof(38,axiom,
    ! [X12,X13,X14] :
      ( ~ s_t(X12,X13,X14)
      | s_t(X14,X13,X12) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz3_2) ).

fof(39,axiom,
    ! [X12,X13] : s_t(X12,X13,X13),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz3_1) ).

fof(40,axiom,
    ! [X12,X13,X14,X15] :
      ( ( ~ le(X12,X13,X14,X15)
        | s_t(X12,X13,ins(X14,X15,X12,X13)) )
      & ( ~ le(X12,X13,X14,X15)
        | s_e(X12,ins(X14,X15,X12,X13),X14,X15) )
      & ( ~ le(X12,X13,X14,X15)
        | equal(ins(X14,X15,X12,X13),ext(X12,X13,insert(X12,X13,X14,X15),X15)) ) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz5_5a) ).

fof(43,axiom,
    ! [X12,X13,X14,X15] :
      ( ~ s_e(X12,X13,X14,X15)
      | s_e(X14,X15,X12,X13) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz2_2) ).

fof(48,axiom,
    ! [X13,X12] : ~ equal(X13,ext(X12,X13,alpha,gamma)),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz3_14b) ).

fof(50,conjecture,
    ! [X28,X12,X13,X14] :
      ( ( equal(X28,X12)
        | equal(X13,X14)
        | sameside(insert(X13,X14,X12,X28),X12,X28) )
      & ( equal(X28,X12)
        | equal(X13,X14)
        | s_e(X12,insert(X13,X14,X12,X28),X13,X14) ) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz6_11a) ).

fof(66,axiom,
    ! [X12,X19,X13,X14] :
      ( sameside(X12,X19,X13)
      | equal(X12,X19)
      | equal(X13,X19)
      | equal(X14,X19)
      | ~ s_t(X12,X19,X14)
      | ~ s_t(X13,X19,X14) ),
    file('/export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1',aSatz6_3b) ).

fof(85,negated_conjecture,
    ~ ! [X28,X12,X13,X14] :
        ( ( equal(X28,X12)
          | equal(X13,X14)
          | sameside(insert(X13,X14,X12,X28),X12,X28) )
        & ( equal(X28,X12)
          | equal(X13,X14)
          | s_e(X12,insert(X13,X14,X12,X28),X13,X14) ) ),
    inference(assume_negation,[status(cth)],[50]) ).

fof(88,plain,
    ! [X1,X2,X5] :
      ( ~ s_e(X1,X2,X5,X5)
      | equal(X1,X2) ),
    inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).

fof(99,plain,
    ! [X12,X19,X13] :
      ( ( ~ sameside(X12,X19,X13)
        | ~ equal(X12,X19) )
      & ( ~ sameside(X12,X19,X13)
        | ~ equal(X13,X19) )
      & ( ~ sameside(X12,X19,X13)
        | s_t(X19,X12,X13)
        | s_t(X19,X13,X12) )
      & ( ~ s_t(X19,X12,X13)
        | equal(X12,X19)
        | equal(xb,X19)
        | sameside(X12,X19,X13) )
      & ( ~ s_t(X19,X13,X12)
        | equal(X12,X19)
        | equal(X13,X19)
        | sameside(X12,X19,X13) ) ),
    inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).

fof(111,plain,
    ! [X12,X13,X14,X15,X2] :
      ( ( ~ le(X12,X13,X14,X15)
        | s_t(X14,insert(X12,X13,X14,X15),X15) )
      & ( ~ le(X12,X13,X14,X15)
        | s_e(X12,X13,X14,insert(X12,X13,X14,X15)) )
      & ( ~ s_t(X14,X2,X15)
        | ~ s_e(X12,X13,X14,X2)
        | le(X12,X13,X14,X15) ) ),
    inference(fof_simplification,[status(thm)],[30,theory(equality)]) ).

fof(112,plain,
    ! [X12,X19,X13] :
      ( ( ~ sameside(X12,X19,X13)
        | s_col(X12,X19,X13) )
      & ( ~ sameside(X12,X19,X13)
        | ~ s_t(X12,X19,X13) ) ),
    inference(fof_simplification,[status(thm)],[31,theory(equality)]) ).

fof(116,plain,
    ! [X12,X13,X14] :
      ( ~ s_t(X12,X13,X14)
      | s_t(X14,X13,X12) ),
    inference(fof_simplification,[status(thm)],[38,theory(equality)]) ).

fof(117,plain,
    ! [X12,X13,X14,X15] :
      ( ( ~ le(X12,X13,X14,X15)
        | s_t(X12,X13,ins(X14,X15,X12,X13)) )
      & ( ~ le(X12,X13,X14,X15)
        | s_e(X12,ins(X14,X15,X12,X13),X14,X15) )
      & ( ~ le(X12,X13,X14,X15)
        | equal(ins(X14,X15,X12,X13),ext(X12,X13,insert(X12,X13,X14,X15),X15)) ) ),
    inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).

fof(120,plain,
    ! [X12,X13,X14,X15] :
      ( ~ s_e(X12,X13,X14,X15)
      | s_e(X14,X15,X12,X13) ),
    inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).

fof(136,plain,
    ! [X12,X19,X13,X14] :
      ( sameside(X12,X19,X13)
      | equal(X12,X19)
      | equal(X13,X19)
      | equal(X14,X19)
      | ~ s_t(X12,X19,X14)
      | ~ s_t(X13,X19,X14) ),
    inference(fof_simplification,[status(thm)],[66,theory(equality)]) ).

fof(153,plain,
    ! [X10,X11,X12,X13] :
      ( s_t(X10,X11,ext(X10,X11,X12,X13))
      & s_e(X11,ext(X10,X11,X12,X13),X12,X13) ),
    inference(variable_rename,[status(thm)],[2]) ).

cnf(154,plain,
    s_e(X1,ext(X2,X1,X3,X4),X3,X4),
    inference(split_conjunct,[status(thm)],[153]) ).

cnf(155,plain,
    s_t(X1,X2,ext(X1,X2,X3,X4)),
    inference(split_conjunct,[status(thm)],[153]) ).

fof(160,plain,
    ! [X6,X7,X8] :
      ( ~ s_e(X6,X7,X8,X8)
      | equal(X6,X7) ),
    inference(variable_rename,[status(thm)],[88]) ).

cnf(161,plain,
    ( X1 = X2
    | ~ s_e(X1,X2,X3,X3) ),
    inference(split_conjunct,[status(thm)],[160]) ).

fof(191,plain,
    ! [X20,X21,X22] :
      ( ( ~ sameside(X20,X21,X22)
        | ~ equal(X20,X21) )
      & ( ~ sameside(X20,X21,X22)
        | ~ equal(X22,X21) )
      & ( ~ sameside(X20,X21,X22)
        | s_t(X21,X20,X22)
        | s_t(X21,X22,X20) )
      & ( ~ s_t(X21,X20,X22)
        | equal(X20,X21)
        | equal(xb,X21)
        | sameside(X20,X21,X22) )
      & ( ~ s_t(X21,X22,X20)
        | equal(X20,X21)
        | equal(X22,X21)
        | sameside(X20,X21,X22) ) ),
    inference(variable_rename,[status(thm)],[99]) ).

cnf(192,plain,
    ( sameside(X1,X2,X3)
    | X3 = X2
    | X1 = X2
    | ~ s_t(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[191]) ).

fof(209,plain,
    ! [X18,X19,X20,X21] : equal(insert(X18,X19,X20,X21),ext(ext(X21,X20,alpha,gamma),X20,X18,X19)),
    inference(variable_rename,[status(thm)],[23]) ).

cnf(210,plain,
    insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
    inference(split_conjunct,[status(thm)],[209]) ).

fof(225,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ( ~ le(X16,X17,X18,X19)
        | s_t(X18,insert(X16,X17,X18,X19),X19) )
      & ( ~ le(X16,X17,X18,X19)
        | s_e(X16,X17,X18,insert(X16,X17,X18,X19)) )
      & ( ~ s_t(X18,X20,X19)
        | ~ s_e(X16,X17,X18,X20)
        | le(X16,X17,X18,X19) ) ),
    inference(variable_rename,[status(thm)],[111]) ).

cnf(226,plain,
    ( le(X1,X2,X3,X4)
    | ~ s_e(X1,X2,X3,X5)
    | ~ s_t(X3,X5,X4) ),
    inference(split_conjunct,[status(thm)],[225]) ).

fof(229,plain,
    ! [X20,X21,X22] :
      ( ( ~ sameside(X20,X21,X22)
        | s_col(X20,X21,X22) )
      & ( ~ sameside(X20,X21,X22)
        | ~ s_t(X20,X21,X22) ) ),
    inference(variable_rename,[status(thm)],[112]) ).

cnf(230,plain,
    ( ~ s_t(X1,X2,X3)
    | ~ sameside(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[229]) ).

fof(240,plain,
    ! [X19,X20] : s_t(X19,X19,X20),
    inference(variable_rename,[status(thm)],[37]) ).

cnf(241,plain,
    s_t(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[240]) ).

fof(242,plain,
    ! [X15,X16,X17] :
      ( ~ s_t(X15,X16,X17)
      | s_t(X17,X16,X15) ),
    inference(variable_rename,[status(thm)],[116]) ).

cnf(243,plain,
    ( s_t(X1,X2,X3)
    | ~ s_t(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[242]) ).

fof(244,plain,
    ! [X14,X15] : s_t(X14,X15,X15),
    inference(variable_rename,[status(thm)],[39]) ).

cnf(245,plain,
    s_t(X1,X2,X2),
    inference(split_conjunct,[status(thm)],[244]) ).

fof(246,plain,
    ! [X16,X17,X18,X19] :
      ( ( ~ le(X16,X17,X18,X19)
        | s_t(X16,X17,ins(X18,X19,X16,X17)) )
      & ( ~ le(X16,X17,X18,X19)
        | s_e(X16,ins(X18,X19,X16,X17),X18,X19) )
      & ( ~ le(X16,X17,X18,X19)
        | equal(ins(X18,X19,X16,X17),ext(X16,X17,insert(X16,X17,X18,X19),X19)) ) ),
    inference(variable_rename,[status(thm)],[117]) ).

cnf(248,plain,
    ( s_e(X1,ins(X2,X3,X1,X4),X2,X3)
    | ~ le(X1,X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[246]) ).

cnf(249,plain,
    ( s_t(X1,X2,ins(X3,X4,X1,X2))
    | ~ le(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[246]) ).

fof(254,plain,
    ! [X16,X17,X18,X19] :
      ( ~ s_e(X16,X17,X18,X19)
      | s_e(X18,X19,X16,X17) ),
    inference(variable_rename,[status(thm)],[120]) ).

cnf(255,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[254]) ).

fof(264,plain,
    ! [X14,X15] : ~ equal(X14,ext(X15,X14,alpha,gamma)),
    inference(variable_rename,[status(thm)],[48]) ).

cnf(265,plain,
    X1 != ext(X2,X1,alpha,gamma),
    inference(split_conjunct,[status(thm)],[264]) ).

fof(268,negated_conjecture,
    ? [X28,X12,X13,X14] :
      ( ( ~ equal(X28,X12)
        & ~ equal(X13,X14)
        & ~ sameside(insert(X13,X14,X12,X28),X12,X28) )
      | ( ~ equal(X28,X12)
        & ~ equal(X13,X14)
        & ~ s_e(X12,insert(X13,X14,X12,X28),X13,X14) ) ),
    inference(fof_nnf,[status(thm)],[85]) ).

fof(269,negated_conjecture,
    ? [X29,X30,X31,X32] :
      ( ( ~ equal(X29,X30)
        & ~ equal(X31,X32)
        & ~ sameside(insert(X31,X32,X30,X29),X30,X29) )
      | ( ~ equal(X29,X30)
        & ~ equal(X31,X32)
        & ~ s_e(X30,insert(X31,X32,X30,X29),X31,X32) ) ),
    inference(variable_rename,[status(thm)],[268]) ).

fof(270,negated_conjecture,
    ( ( ~ equal(esk1_0,esk2_0)
      & ~ equal(esk3_0,esk4_0)
      & ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) )
    | ( ~ equal(esk1_0,esk2_0)
      & ~ equal(esk3_0,esk4_0)
      & ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0) ) ),
    inference(skolemize,[status(esa)],[269]) ).

fof(271,negated_conjecture,
    ( ( ~ equal(esk1_0,esk2_0)
      | ~ equal(esk1_0,esk2_0) )
    & ( ~ equal(esk3_0,esk4_0)
      | ~ equal(esk1_0,esk2_0) )
    & ( ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0)
      | ~ equal(esk1_0,esk2_0) )
    & ( ~ equal(esk1_0,esk2_0)
      | ~ equal(esk3_0,esk4_0) )
    & ( ~ equal(esk3_0,esk4_0)
      | ~ equal(esk3_0,esk4_0) )
    & ( ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0)
      | ~ equal(esk3_0,esk4_0) )
    & ( ~ equal(esk1_0,esk2_0)
      | ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) )
    & ( ~ equal(esk3_0,esk4_0)
      | ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) )
    & ( ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0)
      | ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) ) ),
    inference(distribute,[status(thm)],[270]) ).

cnf(272,negated_conjecture,
    ( ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0)
    | ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[271]) ).

cnf(276,negated_conjecture,
    ( esk3_0 != esk4_0
    | esk3_0 != esk4_0 ),
    inference(split_conjunct,[status(thm)],[271]) ).

cnf(280,negated_conjecture,
    ( esk1_0 != esk2_0
    | esk1_0 != esk2_0 ),
    inference(split_conjunct,[status(thm)],[271]) ).

fof(322,plain,
    ! [X20,X21,X22,X23] :
      ( sameside(X20,X21,X22)
      | equal(X20,X21)
      | equal(X22,X21)
      | equal(X23,X21)
      | ~ s_t(X20,X21,X23)
      | ~ s_t(X22,X21,X23) ),
    inference(variable_rename,[status(thm)],[136]) ).

cnf(323,plain,
    ( X3 = X2
    | X1 = X2
    | X4 = X2
    | sameside(X4,X2,X1)
    | ~ s_t(X1,X2,X3)
    | ~ s_t(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[322]) ).

cnf(375,negated_conjecture,
    ( ~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0)
    | ~ s_e(esk2_0,ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk3_0,esk4_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[272,210,theory(equality)]),210,theory(equality)]),
    [unfolding] ).

cnf(387,plain,
    s_e(X1,X2,X3,ext(X4,X3,X1,X2)),
    inference(spm,[status(thm)],[255,154,theory(equality)]) ).

cnf(418,plain,
    s_t(ext(X1,X2,X3,X4),X2,X1),
    inference(spm,[status(thm)],[243,155,theory(equality)]) ).

cnf(467,plain,
    ( X1 = X2
    | X2 = X3
    | ~ s_t(X1,X2,X3)
    | ~ s_t(X2,X3,X1) ),
    inference(spm,[status(thm)],[230,192,theory(equality)]) ).

cnf(515,plain,
    ( X1 = ins(X2,X2,X1,X3)
    | ~ le(X1,X3,X2,X2) ),
    inference(spm,[status(thm)],[161,248,theory(equality)]) ).

cnf(759,negated_conjecture,
    ( ~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0)
    | $false ),
    inference(rw,[status(thm)],[375,154,theory(equality)]) ).

cnf(760,negated_conjecture,
    ~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0),
    inference(cn,[status(thm)],[759,theory(equality)]) ).

cnf(859,plain,
    ( le(X1,X2,X3,X4)
    | ~ s_t(X3,ext(X5,X3,X1,X2),X4) ),
    inference(spm,[status(thm)],[226,387,theory(equality)]) ).

cnf(877,plain,
    ( X1 = ins(X2,X3,X4,X1)
    | X4 = X1
    | ~ s_t(X1,ins(X2,X3,X4,X1),X4)
    | ~ le(X4,X1,X2,X3) ),
    inference(spm,[status(thm)],[467,249,theory(equality)]) ).

cnf(1032,plain,
    ( X1 = X2
    | X2 = X3
    | X2 = ext(X3,X2,X4,X5)
    | sameside(ext(X3,X2,X4,X5),X2,X1)
    | ~ s_t(X1,X2,X3) ),
    inference(spm,[status(thm)],[323,418,theory(equality)]) ).

cnf(2979,plain,
    ( X2 = X3
    | ~ le(X2,X3,X1,X1)
    | ~ s_t(X3,X2,X2) ),
    inference(spm,[status(thm)],[877,515,theory(equality)]) ).

cnf(2982,plain,
    ( X2 = X3
    | ~ le(X2,X3,X1,X1)
    | $false ),
    inference(rw,[status(thm)],[2979,245,theory(equality)]) ).

cnf(2983,plain,
    ( X2 = X3
    | ~ le(X2,X3,X1,X1) ),
    inference(cn,[status(thm)],[2982,theory(equality)]) ).

cnf(31031,negated_conjecture,
    ( ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0
    | esk2_0 = ext(esk1_0,esk2_0,alpha,gamma)
    | esk1_0 = esk2_0
    | ~ s_t(esk1_0,esk2_0,ext(esk1_0,esk2_0,alpha,gamma)) ),
    inference(spm,[status(thm)],[760,1032,theory(equality)]) ).

cnf(31075,negated_conjecture,
    ( ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0
    | esk2_0 = ext(esk1_0,esk2_0,alpha,gamma)
    | esk1_0 = esk2_0
    | $false ),
    inference(rw,[status(thm)],[31031,155,theory(equality)]) ).

cnf(31076,negated_conjecture,
    ( ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0
    | esk2_0 = ext(esk1_0,esk2_0,alpha,gamma)
    | esk1_0 = esk2_0 ),
    inference(cn,[status(thm)],[31075,theory(equality)]) ).

cnf(31077,negated_conjecture,
    ( ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0
    | esk1_0 = esk2_0 ),
    inference(sr,[status(thm)],[31076,265,theory(equality)]) ).

cnf(31078,negated_conjecture,
    ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0,
    inference(sr,[status(thm)],[31077,280,theory(equality)]) ).

cnf(31166,negated_conjecture,
    ( le(esk3_0,esk4_0,esk2_0,X1)
    | ~ s_t(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[859,31078,theory(equality)]) ).

cnf(31304,negated_conjecture,
    ( le(esk3_0,esk4_0,esk2_0,X1)
    | $false ),
    inference(rw,[status(thm)],[31166,241,theory(equality)]) ).

cnf(31305,negated_conjecture,
    le(esk3_0,esk4_0,esk2_0,X1),
    inference(cn,[status(thm)],[31304,theory(equality)]) ).

cnf(31384,negated_conjecture,
    esk3_0 = esk4_0,
    inference(spm,[status(thm)],[2983,31305,theory(equality)]) ).

cnf(31499,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[31384,276,theory(equality)]) ).

cnf(31500,negated_conjecture,
    $false,
    31499,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO497+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n130.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Jan 20 05:32:49 CST 2017
% 0.03/0.23  % CPUTime  : 
% 0.06/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28  --creating new selector for [GEO011+0.ax]
% 0.86/1.12  -running prover on /export/starexec/sandbox2/tmp/tmpBu6cxR/sel_theBenchmark.p_1 with time limit 29
% 0.86/1.12  -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/tmpBu6cxR/sel_theBenchmark.p_1']
% 0.86/1.12  -prover status Theorem
% 0.86/1.12  Problem theBenchmark.p solved in phase 0.
% 0.86/1.12  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.12  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.12  Solved 1 out of 1.
% 0.86/1.12  # Problem is unsatisfiable (or provable), constructing proof object
% 0.86/1.12  # SZS status Theorem
% 0.86/1.12  # SZS output start CNFRefutation.
% See solution above
% 0.86/1.13  # SZS output end CNFRefutation
%------------------------------------------------------------------------------