TSTP Solution File: GEO526+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO526+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n002.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 10:18:37 EST 2017

% Result   : Theorem 3.69s
% Output   : CNFRefutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  112 (  31 unt;   0 def)
%            Number of atoms       :  299 (  24 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  331 ( 144   ~; 154   |;  33   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  240 (   0 sgn 162   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(11,axiom,
    ! [X10,X13] : s_m(X10,midpoint(X10,X13),X13),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz8_22) ).

fof(16,axiom,
    ! [X10,X20,X13] :
      ( ~ s_col(X10,X20,X13)
      | ~ s_e(X20,X10,X20,X13)
      | equal(X10,X13)
      | s_m(X10,X20,X13) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz7_20) ).

fof(27,axiom,
    ! [X11,X10,X14] :
      ( ~ s_m(X11,X10,X14)
      | equal(X14,s(X10,X11)) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz7_6) ).

fof(33,conjecture,
    ! [X10,X13,X12,X25,X26] :
      ( ~ s_r(X10,X13,X12)
      | ~ s_r(X25,X13,X26)
      | ~ s_e(X10,X13,X25,X13)
      | ~ s_e(X13,X12,X13,X26)
      | s_e(X10,X12,X25,X26)
      | ~ equal(X13,midpoint(X12,X26))
      | equal(X12,X26) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz10_12c) ).

fof(34,axiom,
    ! [X10,X13,X12,X25] :
      ( ~ s_r(X10,X13,X12)
      | ~ s_r(X25,X13,X12)
      | ~ s_e(X10,X13,X25,X13)
      | s_e(X10,X12,X25,X12) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz10_12b) ).

fof(45,axiom,
    ! [X10,X13,X12] :
      ( ~ s_r(X10,X13,X12)
      | s_r(X12,X13,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz8_2) ).

fof(46,axiom,
    ! [X10,X13,X12,X25] :
      ( ~ s_r(X10,X13,X12)
      | equal(X10,X13)
      | ~ s_col(X13,X10,X25)
      | s_r(X25,X13,X12) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz8_3) ).

fof(47,axiom,
    ! [X10,X13,X12] :
      ( ~ s_r(X10,X13,X12)
      | s_r(X10,X13,s(X13,X12)) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz8_4) ).

fof(60,axiom,
    ! [X10,X11] :
      ( equal(s(X10,X11),X11)
      | ~ equal(X11,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz7_10b) ).

fof(65,axiom,
    ! [X10,X13,X12,X17] :
      ( ~ s_e(X10,X13,X12,X17)
      | s_e(X13,X10,X17,X12) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz2_14) ).

fof(94,axiom,
    ! [X10,X11,X14] :
      ( ~ equal(s(X10,X11),s(X10,X14))
      | equal(X11,X14) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz7_9) ).

fof(101,axiom,
    ! [X10,X11] : equal(s(X10,s(X10,X11)),X11),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz7_7) ).

fof(115,axiom,
    ! [X10,X13,X12] :
      ( ( ~ s_col(X10,X13,X12)
        | s_t(X10,X13,X12)
        | s_t(X13,X12,X10)
        | s_t(X12,X10,X13) )
      & ( s_col(X10,X13,X12)
        | ~ s_t(X10,X13,X12) )
      & ( s_col(X10,X13,X12)
        | ~ s_t(X13,X12,X10) )
      & ( s_col(X10,X13,X12)
        | ~ s_t(X12,X10,X13) ) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',d_Defn4_10) ).

fof(127,axiom,
    ! [X10,X13,X12] :
      ( ~ s_t(X10,X13,X12)
      | s_t(X12,X13,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz3_2) ).

fof(162,axiom,
    ! [X10,X20,X13] :
      ( ( ~ s_m(X10,X20,X13)
        | s_t(X10,X20,X13) )
      & ( ~ s_m(X10,X20,X13)
        | s_e(X20,X10,X20,X13) )
      & ( ~ s_t(X10,X20,X13)
        | ~ s_e(X20,X10,X20,X13)
        | s_m(X10,X20,X13) ) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',d_Defn7_1) ).

fof(181,axiom,
    ! [X10,X13,X12,X17] :
      ( ~ s_e(X10,X13,X12,X17)
      | s_e(X12,X17,X10,X13) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz2_2) ).

fof(182,axiom,
    ! [X10,X13,X12,X17,X22,X45] :
      ( ~ s_e(X10,X13,X12,X17)
      | ~ s_e(X12,X17,X22,X45)
      | s_e(X10,X13,X22,X45) ),
    file('/export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1',aSatz2_3) ).

fof(211,negated_conjecture,
    ~ ! [X10,X13,X12,X25,X26] :
        ( ~ s_r(X10,X13,X12)
        | ~ s_r(X25,X13,X26)
        | ~ s_e(X10,X13,X25,X13)
        | ~ s_e(X13,X12,X13,X26)
        | s_e(X10,X12,X25,X26)
        | ~ equal(X13,midpoint(X12,X26))
        | equal(X12,X26) ),
    inference(assume_negation,[status(cth)],[33]) ).

fof(222,plain,
    ! [X10,X20,X13] :
      ( ~ s_col(X10,X20,X13)
      | ~ s_e(X20,X10,X20,X13)
      | equal(X10,X13)
      | s_m(X10,X20,X13) ),
    inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).

fof(233,plain,
    ! [X11,X10,X14] :
      ( ~ s_m(X11,X10,X14)
      | equal(X14,s(X10,X11)) ),
    inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).

fof(237,negated_conjecture,
    ~ ! [X10,X13,X12,X25,X26] :
        ( ~ s_r(X10,X13,X12)
        | ~ s_r(X25,X13,X26)
        | ~ s_e(X10,X13,X25,X13)
        | ~ s_e(X13,X12,X13,X26)
        | s_e(X10,X12,X25,X26)
        | ~ equal(X13,midpoint(X12,X26))
        | equal(X12,X26) ),
    inference(fof_simplification,[status(thm)],[211,theory(equality)]) ).

fof(238,plain,
    ! [X10,X13,X12,X25] :
      ( ~ s_r(X10,X13,X12)
      | ~ s_r(X25,X13,X12)
      | ~ s_e(X10,X13,X25,X13)
      | s_e(X10,X12,X25,X12) ),
    inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).

fof(245,plain,
    ! [X10,X13,X12] :
      ( ~ s_r(X10,X13,X12)
      | s_r(X12,X13,X10) ),
    inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).

fof(246,plain,
    ! [X10,X13,X12,X25] :
      ( ~ s_r(X10,X13,X12)
      | equal(X10,X13)
      | ~ s_col(X13,X10,X25)
      | s_r(X25,X13,X12) ),
    inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).

fof(247,plain,
    ! [X10,X13,X12] :
      ( ~ s_r(X10,X13,X12)
      | s_r(X10,X13,s(X13,X12)) ),
    inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).

fof(258,plain,
    ! [X10,X13,X12,X17] :
      ( ~ s_e(X10,X13,X12,X17)
      | s_e(X13,X10,X17,X12) ),
    inference(fof_simplification,[status(thm)],[65,theory(equality)]) ).

fof(301,plain,
    ! [X10,X13,X12] :
      ( ( ~ s_col(X10,X13,X12)
        | s_t(X10,X13,X12)
        | s_t(X13,X12,X10)
        | s_t(X12,X10,X13) )
      & ( s_col(X10,X13,X12)
        | ~ s_t(X10,X13,X12) )
      & ( s_col(X10,X13,X12)
        | ~ s_t(X13,X12,X10) )
      & ( s_col(X10,X13,X12)
        | ~ s_t(X12,X10,X13) ) ),
    inference(fof_simplification,[status(thm)],[115,theory(equality)]) ).

fof(309,plain,
    ! [X10,X13,X12] :
      ( ~ s_t(X10,X13,X12)
      | s_t(X12,X13,X10) ),
    inference(fof_simplification,[status(thm)],[127,theory(equality)]) ).

fof(339,plain,
    ! [X10,X20,X13] :
      ( ( ~ s_m(X10,X20,X13)
        | s_t(X10,X20,X13) )
      & ( ~ s_m(X10,X20,X13)
        | s_e(X20,X10,X20,X13) )
      & ( ~ s_t(X10,X20,X13)
        | ~ s_e(X20,X10,X20,X13)
        | s_m(X10,X20,X13) ) ),
    inference(fof_simplification,[status(thm)],[162,theory(equality)]) ).

fof(353,plain,
    ! [X10,X13,X12,X17] :
      ( ~ s_e(X10,X13,X12,X17)
      | s_e(X12,X17,X10,X13) ),
    inference(fof_simplification,[status(thm)],[181,theory(equality)]) ).

fof(354,plain,
    ! [X10,X13,X12,X17,X22,X45] :
      ( ~ s_e(X10,X13,X12,X17)
      | ~ s_e(X12,X17,X22,X45)
      | s_e(X10,X13,X22,X45) ),
    inference(fof_simplification,[status(thm)],[182,theory(equality)]) ).

fof(400,plain,
    ! [X14,X15] : s_m(X14,midpoint(X14,X15),X15),
    inference(variable_rename,[status(thm)],[11]) ).

cnf(401,plain,
    s_m(X1,midpoint(X1,X2),X2),
    inference(split_conjunct,[status(thm)],[400]) ).

fof(412,plain,
    ! [X21,X22,X23] :
      ( ~ s_col(X21,X22,X23)
      | ~ s_e(X22,X21,X22,X23)
      | equal(X21,X23)
      | s_m(X21,X22,X23) ),
    inference(variable_rename,[status(thm)],[222]) ).

cnf(413,plain,
    ( s_m(X1,X2,X3)
    | X1 = X3
    | ~ s_e(X2,X1,X2,X3)
    | ~ s_col(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[412]) ).

fof(449,plain,
    ! [X15,X16,X17] :
      ( ~ s_m(X15,X16,X17)
      | equal(X17,s(X16,X15)) ),
    inference(variable_rename,[status(thm)],[233]) ).

cnf(450,plain,
    ( X1 = s(X2,X3)
    | ~ s_m(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[449]) ).

fof(462,negated_conjecture,
    ? [X10,X13,X12,X25,X26] :
      ( s_r(X10,X13,X12)
      & s_r(X25,X13,X26)
      & s_e(X10,X13,X25,X13)
      & s_e(X13,X12,X13,X26)
      & ~ s_e(X10,X12,X25,X26)
      & equal(X13,midpoint(X12,X26))
      & ~ equal(X12,X26) ),
    inference(fof_nnf,[status(thm)],[237]) ).

fof(463,negated_conjecture,
    ? [X27,X28,X29,X30,X31] :
      ( s_r(X27,X28,X29)
      & s_r(X30,X28,X31)
      & s_e(X27,X28,X30,X28)
      & s_e(X28,X29,X28,X31)
      & ~ s_e(X27,X29,X30,X31)
      & equal(X28,midpoint(X29,X31))
      & ~ equal(X29,X31) ),
    inference(variable_rename,[status(thm)],[462]) ).

fof(464,negated_conjecture,
    ( s_r(esk1_0,esk2_0,esk3_0)
    & s_r(esk4_0,esk2_0,esk5_0)
    & s_e(esk1_0,esk2_0,esk4_0,esk2_0)
    & s_e(esk2_0,esk3_0,esk2_0,esk5_0)
    & ~ s_e(esk1_0,esk3_0,esk4_0,esk5_0)
    & equal(esk2_0,midpoint(esk3_0,esk5_0))
    & ~ equal(esk3_0,esk5_0) ),
    inference(skolemize,[status(esa)],[463]) ).

cnf(465,negated_conjecture,
    esk3_0 != esk5_0,
    inference(split_conjunct,[status(thm)],[464]) ).

cnf(466,negated_conjecture,
    esk2_0 = midpoint(esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[464]) ).

cnf(467,negated_conjecture,
    ~ s_e(esk1_0,esk3_0,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[464]) ).

cnf(468,negated_conjecture,
    s_e(esk2_0,esk3_0,esk2_0,esk5_0),
    inference(split_conjunct,[status(thm)],[464]) ).

cnf(469,negated_conjecture,
    s_e(esk1_0,esk2_0,esk4_0,esk2_0),
    inference(split_conjunct,[status(thm)],[464]) ).

cnf(470,negated_conjecture,
    s_r(esk4_0,esk2_0,esk5_0),
    inference(split_conjunct,[status(thm)],[464]) ).

cnf(471,negated_conjecture,
    s_r(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[464]) ).

fof(472,plain,
    ! [X26,X27,X28,X29] :
      ( ~ s_r(X26,X27,X28)
      | ~ s_r(X29,X27,X28)
      | ~ s_e(X26,X27,X29,X27)
      | s_e(X26,X28,X29,X28) ),
    inference(variable_rename,[status(thm)],[238]) ).

cnf(473,plain,
    ( s_e(X1,X2,X3,X2)
    | ~ s_e(X1,X4,X3,X4)
    | ~ s_r(X3,X4,X2)
    | ~ s_r(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[472]) ).

fof(510,plain,
    ! [X14,X15,X16] :
      ( ~ s_r(X14,X15,X16)
      | s_r(X16,X15,X14) ),
    inference(variable_rename,[status(thm)],[245]) ).

cnf(511,plain,
    ( s_r(X1,X2,X3)
    | ~ s_r(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[510]) ).

fof(512,plain,
    ! [X26,X27,X28,X29] :
      ( ~ s_r(X26,X27,X28)
      | equal(X26,X27)
      | ~ s_col(X27,X26,X29)
      | s_r(X29,X27,X28) ),
    inference(variable_rename,[status(thm)],[246]) ).

cnf(513,plain,
    ( s_r(X1,X2,X3)
    | X4 = X2
    | ~ s_col(X2,X4,X1)
    | ~ s_r(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[512]) ).

fof(514,plain,
    ! [X14,X15,X16] :
      ( ~ s_r(X14,X15,X16)
      | s_r(X14,X15,s(X15,X16)) ),
    inference(variable_rename,[status(thm)],[247]) ).

cnf(515,plain,
    ( s_r(X1,X2,s(X2,X3))
    | ~ s_r(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[514]) ).

fof(540,plain,
    ! [X12,X13] :
      ( equal(s(X12,X13),X13)
      | ~ equal(X13,X12) ),
    inference(variable_rename,[status(thm)],[60]) ).

cnf(541,plain,
    ( s(X2,X1) = X1
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[540]) ).

fof(562,plain,
    ! [X18,X19,X20,X21] :
      ( ~ s_e(X18,X19,X20,X21)
      | s_e(X19,X18,X21,X20) ),
    inference(variable_rename,[status(thm)],[258]) ).

cnf(563,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X2,X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[562]) ).

fof(628,plain,
    ! [X15,X16,X17] :
      ( ~ equal(s(X15,X16),s(X15,X17))
      | equal(X16,X17) ),
    inference(variable_rename,[status(thm)],[94]) ).

cnf(629,plain,
    ( X1 = X2
    | s(X3,X1) != s(X3,X2) ),
    inference(split_conjunct,[status(thm)],[628]) ).

fof(643,plain,
    ! [X12,X13] : equal(s(X12,s(X12,X13)),X13),
    inference(variable_rename,[status(thm)],[101]) ).

cnf(644,plain,
    s(X1,s(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[643]) ).

fof(671,plain,
    ! [X14,X15,X16] :
      ( ( ~ s_col(X14,X15,X16)
        | s_t(X14,X15,X16)
        | s_t(X15,X16,X14)
        | s_t(X16,X14,X15) )
      & ( s_col(X14,X15,X16)
        | ~ s_t(X14,X15,X16) )
      & ( s_col(X14,X15,X16)
        | ~ s_t(X15,X16,X14) )
      & ( s_col(X14,X15,X16)
        | ~ s_t(X16,X14,X15) ) ),
    inference(variable_rename,[status(thm)],[301]) ).

cnf(672,plain,
    ( s_col(X2,X3,X1)
    | ~ s_t(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[671]) ).

cnf(674,plain,
    ( s_col(X1,X2,X3)
    | ~ s_t(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[671]) ).

fof(698,plain,
    ! [X14,X15,X16] :
      ( ~ s_t(X14,X15,X16)
      | s_t(X16,X15,X14) ),
    inference(variable_rename,[status(thm)],[309]) ).

cnf(699,plain,
    ( s_t(X1,X2,X3)
    | ~ s_t(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[698]) ).

fof(777,plain,
    ! [X21,X22,X23] :
      ( ( ~ s_m(X21,X22,X23)
        | s_t(X21,X22,X23) )
      & ( ~ s_m(X21,X22,X23)
        | s_e(X22,X21,X22,X23) )
      & ( ~ s_t(X21,X22,X23)
        | ~ s_e(X22,X21,X22,X23)
        | s_m(X21,X22,X23) ) ),
    inference(variable_rename,[status(thm)],[339]) ).

cnf(780,plain,
    ( s_t(X1,X2,X3)
    | ~ s_m(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[777]) ).

fof(820,plain,
    ! [X18,X19,X20,X21] :
      ( ~ s_e(X18,X19,X20,X21)
      | s_e(X20,X21,X18,X19) ),
    inference(variable_rename,[status(thm)],[353]) ).

cnf(821,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[820]) ).

fof(822,plain,
    ! [X46,X47,X48,X49,X50,X51] :
      ( ~ s_e(X46,X47,X48,X49)
      | ~ s_e(X48,X49,X50,X51)
      | s_e(X46,X47,X50,X51) ),
    inference(variable_rename,[status(thm)],[354]) ).

cnf(823,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X5,X6,X3,X4)
    | ~ s_e(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[822]) ).

cnf(898,plain,
    s(X1,X1) = X1,
    inference(er,[status(thm)],[541,theory(equality)]) ).

cnf(899,negated_conjecture,
    s_r(esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[511,471,theory(equality)]) ).

cnf(904,negated_conjecture,
    s_m(esk3_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[401,466,theory(equality)]) ).

cnf(918,negated_conjecture,
    s_e(esk2_0,esk5_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[821,468,theory(equality)]) ).

cnf(930,negated_conjecture,
    s_e(esk3_0,esk2_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[563,468,theory(equality)]) ).

cnf(1175,negated_conjecture,
    ( s_e(esk1_0,X1,esk4_0,X1)
    | ~ s_r(esk4_0,esk2_0,X1)
    | ~ s_r(esk1_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[473,469,theory(equality)]) ).

cnf(2321,negated_conjecture,
    ( esk5_0 = esk3_0
    | s_m(esk5_0,esk2_0,esk3_0)
    | ~ s_col(esk5_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[413,918,theory(equality)]) ).

cnf(2338,negated_conjecture,
    ( s_m(esk5_0,esk2_0,esk3_0)
    | ~ s_col(esk5_0,esk2_0,esk3_0) ),
    inference(sr,[status(thm)],[2321,465,theory(equality)]) ).

cnf(2373,negated_conjecture,
    ( s_e(esk3_0,X1,esk5_0,X1)
    | ~ s_r(esk5_0,esk2_0,X1)
    | ~ s_r(esk3_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[473,930,theory(equality)]) ).

cnf(2408,negated_conjecture,
    s_t(esk3_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[780,904,theory(equality)]) ).

cnf(2672,negated_conjecture,
    ( s(esk2_0,esk5_0) = esk3_0
    | ~ s_col(esk5_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[450,2338,theory(equality)]) ).

cnf(2680,negated_conjecture,
    ( s(esk2_0,esk3_0) = esk5_0
    | ~ s_col(esk5_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[644,2672,theory(equality)]) ).

cnf(2685,negated_conjecture,
    ( esk5_0 = X1
    | esk3_0 != s(esk2_0,X1)
    | ~ s_col(esk5_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[629,2672,theory(equality)]) ).

cnf(2752,negated_conjecture,
    ( s_r(X1,esk2_0,esk5_0)
    | ~ s_r(X1,esk2_0,esk3_0)
    | ~ s_col(esk5_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[515,2680,theory(equality)]) ).

cnf(2884,negated_conjecture,
    s_t(esk5_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[699,2408,theory(equality)]) ).

cnf(2923,negated_conjecture,
    ( esk5_0 = esk2_0
    | esk2_0 != esk3_0
    | ~ s_col(esk5_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[2685,898,theory(equality)]) ).

cnf(3055,negated_conjecture,
    s_col(esk2_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[672,2884,theory(equality)]) ).

cnf(3056,negated_conjecture,
    s_col(esk5_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[674,2884,theory(equality)]) ).

cnf(3263,negated_conjecture,
    ( esk2_0 = esk3_0
    | s_r(esk5_0,esk2_0,X1)
    | ~ s_r(esk3_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[513,3055,theory(equality)]) ).

cnf(3291,negated_conjecture,
    ( esk5_0 = esk2_0
    | esk3_0 != esk2_0
    | $false ),
    inference(rw,[status(thm)],[2923,3056,theory(equality)]) ).

cnf(3292,negated_conjecture,
    ( esk5_0 = esk2_0
    | esk3_0 != esk2_0 ),
    inference(cn,[status(thm)],[3291,theory(equality)]) ).

cnf(3297,negated_conjecture,
    ( s_r(X1,esk2_0,esk5_0)
    | ~ s_r(X1,esk2_0,esk3_0)
    | $false ),
    inference(rw,[status(thm)],[2752,3056,theory(equality)]) ).

cnf(3298,negated_conjecture,
    ( s_r(X1,esk2_0,esk5_0)
    | ~ s_r(X1,esk2_0,esk3_0) ),
    inference(cn,[status(thm)],[3297,theory(equality)]) ).

cnf(3338,negated_conjecture,
    esk2_0 != esk3_0,
    inference(spm,[status(thm)],[465,3292,theory(equality)]) ).

cnf(3453,negated_conjecture,
    ( s_r(esk5_0,esk2_0,X1)
    | ~ s_r(X1,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[511,3298,theory(equality)]) ).

cnf(4196,negated_conjecture,
    ( s_r(esk5_0,esk2_0,X1)
    | ~ s_r(esk3_0,esk2_0,X1) ),
    inference(sr,[status(thm)],[3263,3338,theory(equality)]) ).

cnf(4338,negated_conjecture,
    s_r(esk5_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[3453,471,theory(equality)]) ).

cnf(4345,negated_conjecture,
    s_r(esk1_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[511,4338,theory(equality)]) ).

cnf(12455,negated_conjecture,
    ( s_e(esk1_0,esk5_0,esk4_0,esk5_0)
    | ~ s_r(esk1_0,esk2_0,esk5_0) ),
    inference(spm,[status(thm)],[1175,470,theory(equality)]) ).

cnf(12460,negated_conjecture,
    ( s_e(esk1_0,esk5_0,esk4_0,esk5_0)
    | $false ),
    inference(rw,[status(thm)],[12455,4345,theory(equality)]) ).

cnf(12461,negated_conjecture,
    s_e(esk1_0,esk5_0,esk4_0,esk5_0),
    inference(cn,[status(thm)],[12460,theory(equality)]) ).

cnf(12475,negated_conjecture,
    ( s_e(X1,X2,esk4_0,esk5_0)
    | ~ s_e(X1,X2,esk1_0,esk5_0) ),
    inference(spm,[status(thm)],[823,12461,theory(equality)]) ).

cnf(22830,negated_conjecture,
    ~ s_e(esk1_0,esk3_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[467,12475,theory(equality)]) ).

cnf(106222,negated_conjecture,
    ( s_e(esk3_0,X1,esk5_0,X1)
    | ~ s_r(esk3_0,esk2_0,X1) ),
    inference(csr,[status(thm)],[2373,4196]) ).

cnf(106224,negated_conjecture,
    s_e(esk3_0,esk1_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[106222,899,theory(equality)]) ).

cnf(106245,negated_conjecture,
    s_e(esk1_0,esk3_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[563,106224,theory(equality)]) ).

cnf(106283,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[106245,22830,theory(equality)]) ).

cnf(106284,negated_conjecture,
    $false,
    106283,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO526+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n002.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 05:42:02 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]
% 3.69/3.95  -running prover on /export/starexec/sandbox2/tmp/tmp0ExhGk/sel_theBenchmark.p_1 with time limit 29
% 3.69/3.95  -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/tmp0ExhGk/sel_theBenchmark.p_1']
% 3.69/3.95  -prover status Theorem
% 3.69/3.95  Problem theBenchmark.p solved in phase 0.
% 3.69/3.95  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.69/3.95  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.69/3.95  Solved 1 out of 1.
% 3.69/3.95  # Problem is unsatisfiable (or provable), constructing proof object
% 3.69/3.95  # SZS status Theorem
% 3.69/3.95  # SZS output start CNFRefutation.
% See solution above
% 3.69/3.95  # SZS output end CNFRefutation
%------------------------------------------------------------------------------