TSTP Solution File: GEO525+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO525+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:32:54 EDT 2023

% Result   : Theorem 1685.83s 234.90s
% Output   : CNFRefutation 1685.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  246 (  45 unt;   0 def)
%            Number of atoms       :  688 ( 112 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  755 ( 313   ~; 404   |;  38   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-6 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :  641 (  10 sgn; 414   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(aSatz2_2,axiom,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X14,X17,X12,X15) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz2_2) ).

fof(aSatz10_12b,conjecture,
    ! [X12,X15,X14,X20] :
      ( ~ s_r(X12,X15,X14)
      | ~ s_r(X20,X15,X14)
      | ~ s_e(X12,X15,X20,X15)
      | s_e(X12,X14,X20,X14) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz10_12b) ).

fof(aA2,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ s_e(X1,X2,X3,X4)
      | ~ s_e(X1,X2,X5,X6)
      | s_e(X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aA2) ).

fof(d_Defn7_1,axiom,
    ! [X12,X29,X15] :
      ( ( ~ s_m(X12,X29,X15)
        | s_t(X12,X29,X15) )
      & ( ~ s_m(X12,X29,X15)
        | s_e(X29,X12,X29,X15) )
      & ( ~ s_t(X12,X29,X15)
        | ~ s_e(X29,X12,X29,X15)
        | s_m(X12,X29,X15) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',d_Defn7_1) ).

fof(aSatz7_4a,axiom,
    ! [X13,X12] : s_m(X13,X12,s(X12,X13)),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz7_4a) ).

fof(aSatz4_3,axiom,
    ! [X12,X15,X14,X20,X21,X22] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_t(X20,X21,X22)
      | ~ s_e(X12,X14,X20,X22)
      | ~ s_e(X15,X14,X21,X22)
      | s_e(X12,X15,X20,X21) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz4_3) ).

fof(aSatz4_11c,axiom,
    ! [X12,X15,X14] :
      ( ~ s_col(X12,X15,X14)
      | s_col(X14,X15,X12) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz4_11c) ).

fof(aSatz6_4a,axiom,
    ! [X12,X13,X15] :
      ( ( ~ sameside(X12,X13,X15)
        | s_col(X12,X13,X15) )
      & ( ~ sameside(X12,X13,X15)
        | ~ s_t(X12,X13,X15) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz6_4a) ).

fof(aSideReflect,axiom,
    ! [X12,X15,X14,X29] :
      ( ~ sameside(X12,X15,X14)
      | sameside(s(X29,X12),s(X29,X15),s(X29,X14)) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSideReflect) ).

fof(aSatz2_4,axiom,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X15,X12,X14,X17) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz2_4) ).

fof(aSatz3_3,axiom,
    ! [X20,X21] : s_t(X20,X20,X21),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz3_3) ).

fof(aSatz8_18a,axiom,
    ! [X12,X15,X14,X13,X16] :
      ( s_col(X12,X15,X14)
      | ~ s_col(X12,X15,X13)
      | ~ s_col(X12,X15,X16)
      | ~ perp(X12,X15,X14,X13)
      | ~ perp(X12,X15,X14,X16)
      | X13 = X16 ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_18a) ).

fof(aSatz8_14a,axiom,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | ~ s_col(X12,X15,X13)
      | ~ s_col(X12,X15,X16) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_14a) ).

fof(aSatz8_16b,axiom,
    ! [X12,X15,X13,X16,X14] :
      ( X12 = X15
      | ~ s_col(X12,X15,X13)
      | ~ s_col(X12,X15,X16)
      | X16 = X13
      | perp(X12,X15,X14,X13)
      | s_col(X12,X15,X14)
      | ~ s_r(X14,X13,X16) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_16b) ).

fof(aSatz4_12,axiom,
    ! [X12,X15] : s_col(X12,X12,X15),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz4_12) ).

fof(aSatz7_10b,axiom,
    ! [X12,X13] :
      ( s(X12,X13) = X13
      | X13 != X12 ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz7_10b) ).

fof(aSatz4_12b,axiom,
    ! [X12,X15] : s_col(X12,X15,X12),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz4_12b) ).

fof(aSatz7_6,axiom,
    ! [X13,X12,X16] :
      ( ~ s_m(X13,X12,X16)
      | X16 = s(X12,X13) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz7_6) ).

fof(aSatz3_1,axiom,
    ! [X12,X15] : s_t(X12,X15,X15),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz3_1) ).

fof(aperp1,axiom,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | perp(X15,X12,X13,X16) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aperp1) ).

fof(aSatz8_18,axiom,
    ! [X12,X15,X14] :
      ( ( s_col(X12,X15,X14)
        | s_col(X12,X15,foot(X12,X15,X14)) )
      & ( s_col(X12,X15,X14)
        | perp(X12,X15,X14,foot(X12,X15,X14)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_18) ).

fof(aSatz8_12b,axiom,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | perp(X13,X16,X12,X15) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_12b) ).

fof(aSatz8_2,axiom,
    ! [X12,X15,X14] :
      ( ~ s_r(X12,X15,X14)
      | s_r(X14,X15,X12) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_2) ).

fof(aSatz6_4b,axiom,
    ! [X12,X13,X15] :
      ( sameside(X12,X13,X15)
      | ~ s_col(X12,X13,X15)
      | s_t(X12,X13,X15) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz6_4b) ).

fof(aSatz8_9,axiom,
    ! [X12,X15,X14] :
      ( ~ s_r(X12,X15,X14)
      | ~ s_col(X12,X15,X14)
      | X12 = X15
      | X14 = X15 ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_9) ).

fof(aSatz7_7,axiom,
    ! [X12,X13] : s(X12,s(X12,X13)) = X13,
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz7_7) ).

fof(aSatz3_6b,axiom,
    ! [X12,X15,X14,X17] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_t(X12,X14,X17)
      | s_t(X12,X15,X17) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz3_6b) ).

fof(aSatz8_15,axiom,
    ! [X12,X15,X17,X14] :
      ( X12 = X15
      | ~ s_col(X12,X15,X17)
      | ~ perp(X12,X15,X14,X17)
      | perpAt(X12,X15,X17,X14,X17) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_15) ).

fof(aSatz2_14,axiom,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X15,X12,X17,X14) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz2_14) ).

fof(d_Defn8_11b,axiom,
    ! [X13,X16,X37,X44,X1] :
      ( ( ~ perp(X13,X16,X37,X44)
        | perpAt(X13,X16,il(X13,X16,X37,X44),X37,X44) )
      & ( perp(X13,X16,X37,X44)
        | ~ perpAt(X13,X16,X1,X37,X44) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',d_Defn8_11b) ).

fof(d_Defn8_1,axiom,
    ! [X12,X15,X14] :
      ( ( ~ s_r(X12,X15,X14)
        | s_e(X12,X14,X12,s(X15,X14)) )
      & ( s_r(X12,X15,X14)
        | ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',d_Defn8_1) ).

fof(aSatz6_5,axiom,
    ! [X12,X13] :
      ( X12 = X13
      | sameside(X12,X13,X12) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz6_5) ).

fof(aSatz4_11b,axiom,
    ! [X12,X15,X14] :
      ( ~ s_col(X12,X15,X14)
      | s_col(X14,X12,X15) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz4_11b) ).

fof(aExtPerp4,axiom,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | perp(X12,X15,X16,X13) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aExtPerp4) ).

fof(aSatz4_6,axiom,
    ! [X12,X15,X14,X20,X21,X22] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_e3(X12,X15,X14,X20,X21,X22)
      | s_t(X20,X21,X22) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz4_6) ).

fof(d_Defn4_4,axiom,
    ! [X20,X33,X42,X21,X31,X43] :
      ( ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X20,X33,X21,X31) )
      & ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X20,X42,X21,X43) )
      & ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X33,X42,X31,X43) )
      & ( ~ s_e(X20,X33,X21,X31)
        | ~ s_e(X20,X42,X21,X43)
        | ~ s_e(X33,X42,X31,X43)
        | s_e3(X20,X33,X42,X21,X31,X43) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',d_Defn4_4) ).

fof(aSatz8_5,axiom,
    ! [X12,X15] : s_r(X12,X15,X15),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz8_5) ).

fof(aLemma9_13g,axiom,
    ! [X13,X16,X14,X12,X15] :
      ( X13 = X16
      | ~ perpAt(X13,X16,X14,X12,X14)
      | ~ perpAt(X13,X16,X14,X15,X14)
      | X12 = X14
      | s_col(X14,X12,X15) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aLemma9_13g) ).

fof(aA1,axiom,
    ! [X1,X2] : s_e(X1,X2,X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aA1) ).

fof(aSatz3_2,axiom,
    ! [X12,X15,X14] :
      ( ~ s_t(X12,X15,X14)
      | s_t(X14,X15,X12) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aSatz3_2) ).

fof(d_Defn4_10,axiom,
    ! [X12,X15,X14] :
      ( ( ~ s_col(X12,X15,X14)
        | s_t(X12,X15,X14)
        | s_t(X15,X14,X12)
        | s_t(X14,X12,X15) )
      & ( s_col(X12,X15,X14)
        | ~ s_t(X12,X15,X14) )
      & ( s_col(X12,X15,X14)
        | ~ s_t(X15,X14,X12) )
      & ( s_col(X12,X15,X14)
        | ~ s_t(X14,X12,X15) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',d_Defn4_10) ).

fof(aNarbouxLemma1,axiom,
    ! [X12,X15,X14] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_e(X12,X14,X12,X15)
      | X14 = X15 ),
    file('/export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p',aNarbouxLemma1) ).

fof(c_0_42,plain,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X14,X17,X12,X15) ),
    inference(fof_simplification,[status(thm)],[aSatz2_2]) ).

fof(c_0_43,negated_conjecture,
    ~ ! [X12,X15,X14,X20] :
        ( ~ s_r(X12,X15,X14)
        | ~ s_r(X20,X15,X14)
        | ~ s_e(X12,X15,X20,X15)
        | s_e(X12,X14,X20,X14) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz10_12b])]) ).

fof(c_0_44,plain,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ s_e(X1,X2,X3,X4)
      | ~ s_e(X1,X2,X5,X6)
      | s_e(X3,X4,X5,X6) ),
    inference(fof_simplification,[status(thm)],[aA2]) ).

fof(c_0_45,plain,
    ! [X72,X73,X74,X75] :
      ( ~ s_e(X72,X73,X74,X75)
      | s_e(X74,X75,X72,X73) ),
    inference(variable_rename,[status(thm)],[c_0_42]) ).

fof(c_0_46,negated_conjecture,
    ( s_r(esk1_0,esk2_0,esk3_0)
    & s_r(esk4_0,esk2_0,esk3_0)
    & s_e(esk1_0,esk2_0,esk4_0,esk2_0)
    & ~ s_e(esk1_0,esk3_0,esk4_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

fof(c_0_47,plain,
    ! [X12,X29,X15] :
      ( ( ~ s_m(X12,X29,X15)
        | s_t(X12,X29,X15) )
      & ( ~ s_m(X12,X29,X15)
        | s_e(X29,X12,X29,X15) )
      & ( ~ s_t(X12,X29,X15)
        | ~ s_e(X29,X12,X29,X15)
        | s_m(X12,X29,X15) ) ),
    inference(fof_simplification,[status(thm)],[d_Defn7_1]) ).

fof(c_0_48,plain,
    ! [X53,X54,X55,X56,X57,X58] :
      ( ~ s_e(X53,X54,X55,X56)
      | ~ s_e(X53,X54,X57,X58)
      | s_e(X55,X56,X57,X58) ),
    inference(variable_rename,[status(thm)],[c_0_44]) ).

cnf(c_0_49,plain,
    ( s_e(X3,X4,X1,X2)
    | ~ s_e(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    s_e(esk1_0,esk2_0,esk4_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_51,plain,
    ! [X190,X191,X192] :
      ( ( ~ s_m(X190,X191,X192)
        | s_t(X190,X191,X192) )
      & ( ~ s_m(X190,X191,X192)
        | s_e(X191,X190,X191,X192) )
      & ( ~ s_t(X190,X191,X192)
        | ~ s_e(X191,X190,X191,X192)
        | s_m(X190,X191,X192) ) ),
    inference(variable_rename,[status(thm)],[c_0_47]) ).

fof(c_0_52,plain,
    ! [X551,X552] : s_m(X551,X552,s(X552,X551)),
    inference(variable_rename,[status(thm)],[aSatz7_4a]) ).

fof(c_0_53,plain,
    ! [X12,X15,X14,X20,X21,X22] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_t(X20,X21,X22)
      | ~ s_e(X12,X14,X20,X22)
      | ~ s_e(X15,X14,X21,X22)
      | s_e(X12,X15,X20,X21) ),
    inference(fof_simplification,[status(thm)],[aSatz4_3]) ).

cnf(c_0_54,plain,
    ( s_e(X3,X4,X5,X6)
    | ~ s_e(X1,X2,X3,X4)
    | ~ s_e(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    s_e(esk4_0,esk2_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,plain,
    ( s_e(X2,X1,X2,X3)
    | ~ s_m(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_57,plain,
    s_m(X1,X2,s(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

fof(c_0_58,plain,
    ! [X111,X112,X113,X114,X115,X116] :
      ( ~ s_t(X111,X112,X113)
      | ~ s_t(X114,X115,X116)
      | ~ s_e(X111,X113,X114,X116)
      | ~ s_e(X112,X113,X115,X116)
      | s_e(X111,X112,X114,X115) ),
    inference(variable_rename,[status(thm)],[c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( s_e(X1,X2,esk1_0,esk2_0)
    | ~ s_e(esk4_0,esk2_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,plain,
    s_e(X1,X2,X1,s(X1,X2)),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

fof(c_0_61,plain,
    ! [X12,X15,X14] :
      ( ~ s_col(X12,X15,X14)
      | s_col(X14,X15,X12) ),
    inference(fof_simplification,[status(thm)],[aSatz4_11c]) ).

fof(c_0_62,plain,
    ! [X12,X13,X15] :
      ( ( ~ sameside(X12,X13,X15)
        | s_col(X12,X13,X15) )
      & ( ~ sameside(X12,X13,X15)
        | ~ s_t(X12,X13,X15) ) ),
    inference(fof_simplification,[status(thm)],[aSatz6_4a]) ).

fof(c_0_63,plain,
    ! [X12,X15,X14,X29] :
      ( ~ sameside(X12,X15,X14)
      | sameside(s(X29,X12),s(X29,X15),s(X29,X14)) ),
    inference(fof_simplification,[status(thm)],[aSideReflect]) ).

fof(c_0_64,plain,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X15,X12,X14,X17) ),
    inference(fof_simplification,[status(thm)],[aSatz2_4]) ).

cnf(c_0_65,plain,
    ( s_e(X1,X2,X4,X5)
    | ~ s_t(X1,X2,X3)
    | ~ s_t(X4,X5,X6)
    | ~ s_e(X1,X3,X4,X6)
    | ~ s_e(X2,X3,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    s_e(esk4_0,s(esk4_0,esk2_0),esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

fof(c_0_67,plain,
    ! [X258,X259] : s_t(X258,X258,X259),
    inference(variable_rename,[status(thm)],[aSatz3_3]) ).

fof(c_0_68,plain,
    ! [X12,X15,X14,X13,X16] :
      ( s_col(X12,X15,X14)
      | ~ s_col(X12,X15,X13)
      | ~ s_col(X12,X15,X16)
      | ~ perp(X12,X15,X14,X13)
      | ~ perp(X12,X15,X14,X16)
      | X13 = X16 ),
    inference(fof_simplification,[status(thm)],[aSatz8_18a]) ).

fof(c_0_69,plain,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | ~ s_col(X12,X15,X13)
      | ~ s_col(X12,X15,X16) ),
    inference(fof_simplification,[status(thm)],[aSatz8_14a]) ).

fof(c_0_70,plain,
    ! [X12,X15,X13,X16,X14] :
      ( X12 = X15
      | ~ s_col(X12,X15,X13)
      | ~ s_col(X12,X15,X16)
      | X16 = X13
      | perp(X12,X15,X14,X13)
      | s_col(X12,X15,X14)
      | ~ s_r(X14,X13,X16) ),
    inference(fof_simplification,[status(thm)],[aSatz8_16b]) ).

fof(c_0_71,plain,
    ! [X381,X382,X383] :
      ( ~ s_col(X381,X382,X383)
      | s_col(X383,X382,X381) ),
    inference(variable_rename,[status(thm)],[c_0_61]) ).

fof(c_0_72,plain,
    ! [X390,X391] : s_col(X390,X390,X391),
    inference(variable_rename,[status(thm)],[aSatz4_12]) ).

fof(c_0_73,plain,
    ! [X320,X321,X322] :
      ( ( ~ sameside(X320,X321,X322)
        | s_col(X320,X321,X322) )
      & ( ~ sameside(X320,X321,X322)
        | ~ s_t(X320,X321,X322) ) ),
    inference(variable_rename,[status(thm)],[c_0_62]) ).

fof(c_0_74,plain,
    ! [X537,X538,X539,X540] :
      ( ~ sameside(X537,X538,X539)
      | sameside(s(X540,X537),s(X540,X538),s(X540,X539)) ),
    inference(variable_rename,[status(thm)],[c_0_63]) ).

fof(c_0_75,plain,
    ! [X567,X568] :
      ( s(X567,X568) = X568
      | X568 != X567 ),
    inference(variable_rename,[status(thm)],[aSatz7_10b]) ).

fof(c_0_76,plain,
    ! [X82,X83,X84,X85] :
      ( ~ s_e(X82,X83,X84,X85)
      | s_e(X83,X82,X84,X85) ),
    inference(variable_rename,[status(thm)],[c_0_64]) ).

cnf(c_0_77,plain,
    ( s_e(X1,X2,X3,X2)
    | ~ s_t(X3,X2,s(X2,X4))
    | ~ s_t(X1,X2,X4)
    | ~ s_e(X1,X4,X3,s(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_60]) ).

cnf(c_0_78,negated_conjecture,
    s_e(esk1_0,esk2_0,esk4_0,s(esk4_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_49,c_0_66]) ).

cnf(c_0_79,plain,
    s_t(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

fof(c_0_80,plain,
    ! [X419,X420,X421,X422,X423] :
      ( s_col(X419,X420,X421)
      | ~ s_col(X419,X420,X422)
      | ~ s_col(X419,X420,X423)
      | ~ perp(X419,X420,X421,X422)
      | ~ perp(X419,X420,X421,X423)
      | X422 = X423 ),
    inference(variable_rename,[status(thm)],[c_0_68]) ).

fof(c_0_81,plain,
    ! [X415,X416,X417,X418] :
      ( ~ perp(X415,X416,X417,X418)
      | ~ s_col(X415,X416,X417)
      | ~ s_col(X415,X416,X418) ),
    inference(variable_rename,[status(thm)],[c_0_69]) ).

fof(c_0_82,plain,
    ! [X238,X239,X240,X241,X242] :
      ( X238 = X239
      | ~ s_col(X238,X239,X240)
      | ~ s_col(X238,X239,X241)
      | X241 = X240
      | perp(X238,X239,X242,X240)
      | s_col(X238,X239,X242)
      | ~ s_r(X242,X240,X241) ),
    inference(variable_rename,[status(thm)],[c_0_70]) ).

fof(c_0_83,plain,
    ! [X392,X393] : s_col(X392,X393,X392),
    inference(variable_rename,[status(thm)],[aSatz4_12b]) ).

cnf(c_0_84,plain,
    ( s_col(X3,X2,X1)
    | ~ s_col(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_85,plain,
    s_col(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_86,plain,
    ( ~ sameside(X1,X2,X3)
    | ~ s_t(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_87,plain,
    ( sameside(s(X4,X1),s(X4,X2),s(X4,X3))
    | ~ sameside(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_88,plain,
    ( s(X1,X2) = X2
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

fof(c_0_89,plain,
    ! [X13,X12,X16] :
      ( ~ s_m(X13,X12,X16)
      | X16 = s(X12,X13) ),
    inference(fof_simplification,[status(thm)],[aSatz7_6]) ).

cnf(c_0_90,plain,
    ( s_e(X2,X1,X3,X4)
    | ~ s_e(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_91,negated_conjecture,
    ( s_e(esk1_0,esk4_0,esk4_0,esk4_0)
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).

fof(c_0_92,plain,
    ! [X253,X254] : s_t(X253,X254,X254),
    inference(variable_rename,[status(thm)],[aSatz3_1]) ).

fof(c_0_93,plain,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | perp(X15,X12,X13,X16) ),
    inference(fof_simplification,[status(thm)],[aperp1]) ).

cnf(c_0_94,plain,
    ( s_col(X1,X2,X3)
    | X4 = X5
    | ~ s_col(X1,X2,X4)
    | ~ s_col(X1,X2,X5)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_95,plain,
    ( ~ perp(X1,X2,X3,X4)
    | ~ s_col(X1,X2,X3)
    | ~ s_col(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

fof(c_0_96,plain,
    ! [X746,X747,X748] :
      ( ( s_col(X746,X747,X748)
        | s_col(X746,X747,foot(X746,X747,X748)) )
      & ( s_col(X746,X747,X748)
        | perp(X746,X747,X748,foot(X746,X747,X748)) ) ),
    inference(variable_rename,[status(thm)],[aSatz8_18]) ).

cnf(c_0_97,plain,
    ( X1 = X2
    | X4 = X3
    | perp(X1,X2,X5,X3)
    | s_col(X1,X2,X5)
    | ~ s_col(X1,X2,X3)
    | ~ s_col(X1,X2,X4)
    | ~ s_r(X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_98,plain,
    s_col(X1,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_99,plain,
    s_col(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

fof(c_0_100,plain,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | perp(X13,X16,X12,X15) ),
    inference(fof_simplification,[status(thm)],[aSatz8_12b]) ).

fof(c_0_101,plain,
    ! [X12,X15,X14] :
      ( ~ s_r(X12,X15,X14)
      | s_r(X14,X15,X12) ),
    inference(fof_simplification,[status(thm)],[aSatz8_2]) ).

cnf(c_0_102,plain,
    ( ~ sameside(X1,X2,X3)
    | ~ s_t(s(X4,X1),s(X4,X2),s(X4,X3)) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_103,plain,
    s(X1,X1) = X1,
    inference(er,[status(thm)],[c_0_88]) ).

fof(c_0_104,plain,
    ! [X553,X554,X555] :
      ( ~ s_m(X553,X554,X555)
      | X555 = s(X554,X553) ),
    inference(variable_rename,[status(thm)],[c_0_89]) ).

cnf(c_0_105,plain,
    ( s_m(X1,X2,X3)
    | ~ s_t(X1,X2,X3)
    | ~ s_e(X2,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_106,negated_conjecture,
    ( s_e(esk4_0,esk1_0,esk4_0,esk4_0)
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_107,plain,
    s_t(X1,X2,X2),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

fof(c_0_108,plain,
    ! [X12,X13,X15] :
      ( sameside(X12,X13,X15)
      | ~ s_col(X12,X13,X15)
      | s_t(X12,X13,X15) ),
    inference(fof_simplification,[status(thm)],[aSatz6_4b]) ).

fof(c_0_109,plain,
    ! [X661,X662,X663,X664] :
      ( ~ perp(X661,X662,X663,X664)
      | perp(X662,X661,X663,X664) ),
    inference(variable_rename,[status(thm)],[c_0_93]) ).

cnf(c_0_110,plain,
    ( X1 = X2
    | ~ perp(X3,X4,X5,X2)
    | ~ perp(X3,X4,X5,X1)
    | ~ s_col(X3,X4,X2)
    | ~ s_col(X3,X4,X1) ),
    inference(csr,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_111,plain,
    ( s_col(X1,X2,X3)
    | perp(X1,X2,X3,foot(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_112,plain,
    ( s_col(X1,X2,X3)
    | s_col(X1,X2,foot(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_113,plain,
    ( X1 = X2
    | perp(X1,X2,X3,X1)
    | s_col(X1,X2,X3)
    | ~ s_r(X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_97]),c_0_98])])]),c_0_99])]) ).

cnf(c_0_114,negated_conjecture,
    s_r(esk4_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_115,plain,
    ! [X657,X658,X659,X660] :
      ( ~ perp(X657,X658,X659,X660)
      | perp(X659,X660,X657,X658) ),
    inference(variable_rename,[status(thm)],[c_0_100]) ).

cnf(c_0_116,plain,
    ( X1 = X2
    | perp(X1,X2,X3,X2)
    | s_col(X1,X2,X3)
    | ~ s_r(X3,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_97])]),c_0_98])]),c_0_99])]) ).

cnf(c_0_117,negated_conjecture,
    s_r(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_118,plain,
    ! [X12,X15,X14] :
      ( ~ s_r(X12,X15,X14)
      | ~ s_col(X12,X15,X14)
      | X12 = X15
      | X14 = X15 ),
    inference(fof_simplification,[status(thm)],[aSatz8_9]) ).

fof(c_0_119,plain,
    ! [X196,X197,X198] :
      ( ~ s_r(X196,X197,X198)
      | s_r(X198,X197,X196) ),
    inference(variable_rename,[status(thm)],[c_0_101]) ).

fof(c_0_120,plain,
    ! [X556,X557] : s(X556,s(X556,X557)) = X557,
    inference(variable_rename,[status(thm)],[aSatz7_7]) ).

fof(c_0_121,plain,
    ! [X12,X15,X14,X17] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_t(X12,X14,X17)
      | s_t(X12,X15,X17) ),
    inference(fof_simplification,[status(thm)],[aSatz3_6b]) ).

cnf(c_0_122,plain,
    ( ~ sameside(X1,X2,X3)
    | ~ s_t(s(X3,X1),s(X3,X2),X3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_123,plain,
    ( X3 = s(X2,X1)
    | ~ s_m(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_124,negated_conjecture,
    ( s_m(esk1_0,esk4_0,esk4_0)
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).

fof(c_0_125,plain,
    ! [X323,X324,X325] :
      ( sameside(X323,X324,X325)
      | ~ s_col(X323,X324,X325)
      | s_t(X323,X324,X325) ),
    inference(variable_rename,[status(thm)],[c_0_108]) ).

cnf(c_0_126,plain,
    ( perp(X2,X1,X3,X4)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_127,plain,
    ( X1 = foot(X2,X3,X4)
    | ~ perp(X2,X3,X4,X1)
    | ~ s_col(X2,X3,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_95]) ).

cnf(c_0_128,negated_conjecture,
    ( esk3_0 = esk2_0
    | perp(esk2_0,esk3_0,esk4_0,esk2_0)
    | s_col(esk2_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

fof(c_0_129,plain,
    ! [X12,X15,X17,X14] :
      ( X12 = X15
      | ~ s_col(X12,X15,X17)
      | ~ perp(X12,X15,X14,X17)
      | perpAt(X12,X15,X17,X14,X17) ),
    inference(fof_simplification,[status(thm)],[aSatz8_15]) ).

cnf(c_0_130,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_131,negated_conjecture,
    ( esk3_0 = esk2_0
    | perp(esk3_0,esk2_0,esk1_0,esk2_0)
    | s_col(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

fof(c_0_132,plain,
    ! [X217,X218,X219] :
      ( ~ s_r(X217,X218,X219)
      | ~ s_col(X217,X218,X219)
      | X217 = X218
      | X219 = X218 ),
    inference(variable_rename,[status(thm)],[c_0_118]) ).

cnf(c_0_133,plain,
    ( s_r(X3,X2,X1)
    | ~ s_r(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_134,plain,
    s(X1,s(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

fof(c_0_135,plain,
    ! [X279,X280,X281,X282] :
      ( ~ s_t(X279,X280,X281)
      | ~ s_t(X279,X281,X282)
      | s_t(X279,X280,X282) ),
    inference(variable_rename,[status(thm)],[c_0_121]) ).

cnf(c_0_136,plain,
    ( ~ sameside(X1,X2,X1)
    | ~ s_t(X1,s(X1,X2),X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_103]) ).

cnf(c_0_137,negated_conjecture,
    ( s(esk4_0,esk1_0) = esk4_0
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_138,plain,
    ( sameside(X1,X2,X3)
    | s_t(X1,X2,X3)
    | ~ s_col(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

fof(c_0_139,plain,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X15,X12,X17,X14) ),
    inference(fof_simplification,[status(thm)],[aSatz2_14]) ).

cnf(c_0_140,plain,
    ( perp(X1,X2,X3,foot(X2,X1,X3))
    | s_col(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_126,c_0_111]) ).

cnf(c_0_141,negated_conjecture,
    ( foot(esk2_0,esk3_0,esk4_0) = esk2_0
    | esk3_0 = esk2_0
    | s_col(esk2_0,esk3_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_98])]) ).

fof(c_0_142,plain,
    ! [X13,X16,X37,X44,X1] :
      ( ( ~ perp(X13,X16,X37,X44)
        | perpAt(X13,X16,il(X13,X16,X37,X44),X37,X44) )
      & ( perp(X13,X16,X37,X44)
        | ~ perpAt(X13,X16,X1,X37,X44) ) ),
    inference(fof_simplification,[status(thm)],[d_Defn8_11b]) ).

fof(c_0_143,plain,
    ! [X636,X637,X638,X639] :
      ( X636 = X637
      | ~ s_col(X636,X637,X638)
      | ~ perp(X636,X637,X639,X638)
      | perpAt(X636,X637,X638,X639,X638) ),
    inference(variable_rename,[status(thm)],[c_0_129]) ).

cnf(c_0_144,plain,
    ( perp(X1,foot(X2,X3,X1),X2,X3)
    | s_col(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_111]) ).

cnf(c_0_145,negated_conjecture,
    ( foot(esk3_0,esk2_0,esk1_0) = esk2_0
    | esk3_0 = esk2_0
    | s_col(esk3_0,esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_131]),c_0_99])]) ).

cnf(c_0_146,plain,
    ( X1 = X2
    | X3 = X2
    | ~ s_r(X1,X2,X3)
    | ~ s_col(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_147,negated_conjecture,
    s_r(esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_133,c_0_117]) ).

fof(c_0_148,plain,
    ! [X12,X15,X14] :
      ( ( ~ s_r(X12,X15,X14)
        | s_e(X12,X14,X12,s(X15,X14)) )
      & ( s_r(X12,X15,X14)
        | ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
    inference(fof_simplification,[status(thm)],[d_Defn8_1]) ).

cnf(c_0_149,plain,
    ( ~ sameside(X1,X2,s(X3,X4))
    | ~ s_t(s(X3,X1),s(X3,X2),X4) ),
    inference(spm,[status(thm)],[c_0_102,c_0_134]) ).

fof(c_0_150,plain,
    ! [X528,X529] :
      ( X528 = X529
      | sameside(X528,X529,X528) ),
    inference(variable_rename,[status(thm)],[aSatz6_5]) ).

cnf(c_0_151,plain,
    ( s_t(X1,X2,X4)
    | ~ s_t(X1,X2,X3)
    | ~ s_t(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ sameside(esk4_0,esk1_0,esk4_0)
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_79])]) ).

cnf(c_0_153,plain,
    ( sameside(X1,X2,X1)
    | s_t(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_98]) ).

fof(c_0_154,plain,
    ! [X101,X102,X103,X104] :
      ( ~ s_e(X101,X102,X103,X104)
      | s_e(X102,X101,X104,X103) ),
    inference(variable_rename,[status(thm)],[c_0_139]) ).

cnf(c_0_155,negated_conjecture,
    ( esk3_0 = esk2_0
    | perp(esk3_0,esk2_0,esk4_0,esk2_0)
    | s_col(esk2_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

fof(c_0_156,plain,
    ! [X12,X15,X14] :
      ( ~ s_col(X12,X15,X14)
      | s_col(X14,X12,X15) ),
    inference(fof_simplification,[status(thm)],[aSatz4_11b]) ).

fof(c_0_157,plain,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | perp(X12,X15,X16,X13) ),
    inference(fof_simplification,[status(thm)],[aExtPerp4]) ).

fof(c_0_158,plain,
    ! [X652,X653,X654,X655,X656] :
      ( ( ~ perp(X652,X653,X654,X655)
        | perpAt(X652,X653,il(X652,X653,X654,X655),X654,X655) )
      & ( perp(X652,X653,X654,X655)
        | ~ perpAt(X652,X653,X656,X654,X655) ) ),
    inference(variable_rename,[status(thm)],[c_0_142]) ).

cnf(c_0_159,plain,
    ( X1 = X2
    | perpAt(X1,X2,X3,X4,X3)
    | ~ s_col(X1,X2,X3)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_160,negated_conjecture,
    ( esk3_0 = esk2_0
    | perp(esk1_0,esk2_0,esk3_0,esk2_0)
    | s_col(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_161,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk3_0 = esk2_0
    | ~ s_col(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

fof(c_0_162,plain,
    ! [X12,X15,X14,X20,X21,X22] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_e3(X12,X15,X14,X20,X21,X22)
      | s_t(X20,X21,X22) ),
    inference(fof_simplification,[status(thm)],[aSatz4_6]) ).

fof(c_0_163,plain,
    ! [X20,X33,X42,X21,X31,X43] :
      ( ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X20,X33,X21,X31) )
      & ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X20,X42,X21,X43) )
      & ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X33,X42,X31,X43) )
      & ( ~ s_e(X20,X33,X21,X31)
        | ~ s_e(X20,X42,X21,X43)
        | ~ s_e(X33,X42,X31,X43)
        | s_e3(X20,X33,X42,X21,X31,X43) ) ),
    inference(fof_simplification,[status(thm)],[d_Defn4_4]) ).

fof(c_0_164,plain,
    ! [X193,X194,X195] :
      ( ( ~ s_r(X193,X194,X195)
        | s_e(X193,X195,X193,s(X194,X195)) )
      & ( s_r(X193,X194,X195)
        | ~ s_e(X193,X195,X193,s(X194,X195)) ) ),
    inference(variable_rename,[status(thm)],[c_0_148]) ).

cnf(c_0_165,plain,
    ( ~ sameside(X1,X2,s(X2,X3))
    | ~ s_t(s(X2,X1),X2,X3) ),
    inference(spm,[status(thm)],[c_0_149,c_0_103]) ).

cnf(c_0_166,plain,
    ( X1 = X2
    | sameside(X1,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_167,plain,
    ( s_t(X1,X2,X3)
    | ~ s_t(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_151,c_0_79]) ).

cnf(c_0_168,negated_conjecture,
    ( s_t(esk4_0,esk1_0,esk4_0)
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_169,plain,
    ( s_e(X2,X1,X4,X3)
    | ~ s_e(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_170,negated_conjecture,
    ( esk3_0 = esk2_0
    | perp(esk4_0,esk2_0,esk3_0,esk2_0)
    | s_col(esk2_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_155]) ).

fof(c_0_171,plain,
    ! [X378,X379,X380] :
      ( ~ s_col(X378,X379,X380)
      | s_col(X380,X378,X379) ),
    inference(variable_rename,[status(thm)],[c_0_156]) ).

fof(c_0_172,plain,
    ! [X665,X666,X667,X668] :
      ( ~ perp(X665,X666,X667,X668)
      | perp(X665,X666,X668,X667) ),
    inference(variable_rename,[status(thm)],[c_0_157]) ).

cnf(c_0_173,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perpAt(X1,X2,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_174,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk1_0 = esk2_0
    | perpAt(esk1_0,esk2_0,esk2_0,esk3_0,esk2_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_99])]),c_0_161]) ).

fof(c_0_175,plain,
    ! [X595,X596,X597,X598,X599,X600] :
      ( ~ s_t(X595,X596,X597)
      | ~ s_e3(X595,X596,X597,X598,X599,X600)
      | s_t(X598,X599,X600) ),
    inference(variable_rename,[status(thm)],[c_0_162]) ).

fof(c_0_176,plain,
    ! [X607,X608,X609,X610,X611,X612] :
      ( ( ~ s_e3(X607,X608,X609,X610,X611,X612)
        | s_e(X607,X608,X610,X611) )
      & ( ~ s_e3(X607,X608,X609,X610,X611,X612)
        | s_e(X607,X609,X610,X612) )
      & ( ~ s_e3(X607,X608,X609,X610,X611,X612)
        | s_e(X608,X609,X611,X612) )
      & ( ~ s_e(X607,X608,X610,X611)
        | ~ s_e(X607,X609,X610,X612)
        | ~ s_e(X608,X609,X611,X612)
        | s_e3(X607,X608,X609,X610,X611,X612) ) ),
    inference(variable_rename,[status(thm)],[c_0_163]) ).

cnf(c_0_177,plain,
    ( s_e(X1,X3,X1,s(X2,X3))
    | ~ s_r(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_178,plain,
    ( s(X1,X2) = X1
    | ~ s_t(X2,X1,X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_134]) ).

cnf(c_0_179,negated_conjecture,
    ( s_t(esk4_0,esk1_0,X1)
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

fof(c_0_180,plain,
    ! [X206,X207] : s_r(X206,X207,X207),
    inference(variable_rename,[status(thm)],[aSatz8_5]) ).

cnf(c_0_181,negated_conjecture,
    s_e(esk2_0,esk4_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_169,c_0_55]) ).

cnf(c_0_182,plain,
    ( X1 = X2
    | perpAt(X1,X2,foot(X1,X2,X3),X3,foot(X1,X2,X3))
    | s_col(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_111]),c_0_112]) ).

cnf(c_0_183,negated_conjecture,
    ( foot(esk4_0,esk2_0,esk3_0) = esk2_0
    | esk3_0 = esk2_0
    | s_col(esk2_0,esk3_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_170]),c_0_99])]) ).

cnf(c_0_184,plain,
    ( s_col(X3,X1,X2)
    | ~ s_col(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_185,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk4_0 = esk2_0
    | ~ s_col(esk4_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_114]) ).

fof(c_0_186,plain,
    ! [X13,X16,X14,X12,X15] :
      ( X13 = X16
      | ~ perpAt(X13,X16,X14,X12,X14)
      | ~ perpAt(X13,X16,X14,X15,X14)
      | X12 = X14
      | s_col(X14,X12,X15) ),
    inference(fof_simplification,[status(thm)],[aLemma9_13g]) ).

cnf(c_0_187,plain,
    ( perp(X1,X2,X4,X3)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_188,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk3_0 = esk2_0
    | perp(esk1_0,esk2_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_189,plain,
    ( s_t(X4,X5,X6)
    | ~ s_t(X1,X2,X3)
    | ~ s_e3(X1,X2,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_190,plain,
    ( s_e3(X1,X2,X5,X3,X4,X6)
    | ~ s_e(X1,X2,X3,X4)
    | ~ s_e(X1,X5,X3,X6)
    | ~ s_e(X2,X5,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

fof(c_0_191,plain,
    ! [X51,X52] : s_e(X51,X52,X52,X51),
    inference(variable_rename,[status(thm)],[aA1]) ).

cnf(c_0_192,plain,
    ( s_e(X1,s(X2,X3),X1,X3)
    | ~ s_r(X1,X2,s(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_177,c_0_134]) ).

cnf(c_0_193,negated_conjecture,
    ( s(esk1_0,esk4_0) = esk1_0
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_194,plain,
    s_r(X1,X2,X2),
    inference(split_conjunct,[status(thm)],[c_0_180]) ).

cnf(c_0_195,negated_conjecture,
    s_r(esk3_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_133,c_0_114]) ).

cnf(c_0_196,negated_conjecture,
    ( s_m(esk4_0,esk2_0,esk1_0)
    | ~ s_t(esk4_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_181]) ).

cnf(c_0_197,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk4_0 = esk2_0
    | perpAt(esk4_0,esk2_0,esk2_0,esk3_0,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]),c_0_185]) ).

fof(c_0_198,plain,
    ! [X647,X648,X649,X650,X651] :
      ( X647 = X648
      | ~ perpAt(X647,X648,X649,X650,X649)
      | ~ perpAt(X647,X648,X649,X651,X649)
      | X650 = X649
      | s_col(X649,X650,X651) ),
    inference(variable_rename,[status(thm)],[c_0_186]) ).

cnf(c_0_199,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk1_0 = esk2_0
    | perp(esk1_0,esk2_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

fof(c_0_200,plain,
    ! [X12,X15,X14] :
      ( ~ s_t(X12,X15,X14)
      | s_t(X14,X15,X12) ),
    inference(fof_simplification,[status(thm)],[aSatz3_2]) ).

cnf(c_0_201,plain,
    ( s_t(X1,X2,X3)
    | ~ s_t(X4,X5,X6)
    | ~ s_e(X5,X6,X2,X3)
    | ~ s_e(X4,X6,X1,X3)
    | ~ s_e(X4,X5,X1,X2) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_202,plain,
    s_e(X1,X2,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_191]) ).

cnf(c_0_203,negated_conjecture,
    ( s_e(X1,esk1_0,X1,esk4_0)
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194])]) ).

cnf(c_0_204,negated_conjecture,
    s_e(esk3_0,esk4_0,esk3_0,s(esk2_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_177,c_0_195]) ).

cnf(c_0_205,negated_conjecture,
    ( s(esk2_0,esk4_0) = esk1_0
    | ~ s_t(esk4_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_196]) ).

cnf(c_0_206,negated_conjecture,
    s_e(esk2_0,esk1_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_169,c_0_50]) ).

cnf(c_0_207,negated_conjecture,
    ( esk4_0 = esk2_0
    | esk3_0 = esk2_0
    | perp(esk4_0,esk2_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_197]) ).

fof(c_0_208,plain,
    ! [X12,X15,X14] :
      ( ( ~ s_col(X12,X15,X14)
        | s_t(X12,X15,X14)
        | s_t(X15,X14,X12)
        | s_t(X14,X12,X15) )
      & ( s_col(X12,X15,X14)
        | ~ s_t(X12,X15,X14) )
      & ( s_col(X12,X15,X14)
        | ~ s_t(X15,X14,X12) )
      & ( s_col(X12,X15,X14)
        | ~ s_t(X14,X12,X15) ) ),
    inference(fof_simplification,[status(thm)],[d_Defn4_10]) ).

cnf(c_0_209,plain,
    ( X1 = X2
    | X4 = X3
    | s_col(X3,X4,X5)
    | ~ perpAt(X1,X2,X3,X4,X3)
    | ~ perpAt(X1,X2,X3,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_198]) ).

cnf(c_0_210,negated_conjecture,
    ( esk3_0 = esk2_0
    | perpAt(esk2_0,esk3_0,esk2_0,esk4_0,esk2_0)
    | s_col(esk2_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_141]) ).

cnf(c_0_211,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk3_0 = esk2_0
    | perp(esk2_0,esk3_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_199]) ).

fof(c_0_212,plain,
    ! [X255,X256,X257] :
      ( ~ s_t(X255,X256,X257)
      | s_t(X257,X256,X255) ),
    inference(variable_rename,[status(thm)],[c_0_200]) ).

cnf(c_0_213,plain,
    ( s_t(X1,X2,X3)
    | ~ s_t(X4,X3,X2)
    | ~ s_e(X4,X2,X1,X3)
    | ~ s_e(X4,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_214,negated_conjecture,
    ~ s_e(esk1_0,esk3_0,esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_215,negated_conjecture,
    ( s_e(esk1_0,X1,esk4_0,X1)
    | ~ s_t(esk1_0,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_203]) ).

cnf(c_0_216,negated_conjecture,
    ( s_e(esk3_0,esk4_0,esk3_0,esk1_0)
    | ~ s_t(esk4_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_217,negated_conjecture,
    ( s_m(esk1_0,esk2_0,esk4_0)
    | ~ s_t(esk1_0,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_206]) ).

fof(c_0_218,plain,
    ! [X12,X15,X14] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_e(X12,X14,X12,X15)
      | X14 = X15 ),
    inference(fof_simplification,[status(thm)],[aNarbouxLemma1]) ).

cnf(c_0_219,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk4_0 = esk2_0
    | perp(esk4_0,esk2_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_207]) ).

fof(c_0_220,plain,
    ! [X372,X373,X374] :
      ( ( ~ s_col(X372,X373,X374)
        | s_t(X372,X373,X374)
        | s_t(X373,X374,X372)
        | s_t(X374,X372,X373) )
      & ( s_col(X372,X373,X374)
        | ~ s_t(X372,X373,X374) )
      & ( s_col(X372,X373,X374)
        | ~ s_t(X373,X374,X372) )
      & ( s_col(X372,X373,X374)
        | ~ s_t(X374,X372,X373) ) ),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

cnf(c_0_221,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk2_0 = X1
    | s_col(esk2_0,esk3_0,esk4_0)
    | s_col(esk2_0,X1,esk4_0)
    | ~ perpAt(esk2_0,esk3_0,esk2_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_222,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk3_0 = esk2_0
    | perpAt(esk2_0,esk3_0,esk2_0,esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_211]),c_0_98])]) ).

cnf(c_0_223,plain,
    ( s_t(X3,X2,X1)
    | ~ s_t(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_212]) ).

cnf(c_0_224,negated_conjecture,
    ( s_t(esk2_0,esk4_0,esk1_0)
    | ~ s_t(esk2_0,esk1_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_181]),c_0_206])]) ).

cnf(c_0_225,negated_conjecture,
    ~ s_t(esk1_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_226,negated_conjecture,
    ( s_e(esk3_0,esk1_0,esk3_0,esk4_0)
    | ~ s_t(esk4_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_216]) ).

cnf(c_0_227,plain,
    ( s_t(s(X1,X2),X1,s(X1,X2))
    | ~ s_t(X2,X1,X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_153]),c_0_134]) ).

cnf(c_0_228,negated_conjecture,
    ( s(esk2_0,esk1_0) = esk4_0
    | ~ s_t(esk1_0,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_217]) ).

fof(c_0_229,plain,
    ! [X147,X148,X149] :
      ( ~ s_t(X147,X148,X149)
      | ~ s_e(X147,X149,X147,X148)
      | X149 = X148 ),
    inference(variable_rename,[status(thm)],[c_0_218]) ).

cnf(c_0_230,negated_conjecture,
    ( esk4_0 = esk2_0
    | esk3_0 = esk2_0
    | perp(esk2_0,esk3_0,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_219]) ).

cnf(c_0_231,plain,
    ( s_t(X1,X2,X3)
    | s_t(X2,X3,X1)
    | s_t(X3,X1,X2)
    | ~ s_col(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_220]) ).

cnf(c_0_232,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk3_0 = esk2_0
    | s_col(esk2_0,esk1_0,esk4_0)
    | s_col(esk2_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_233,negated_conjecture,
    ~ s_t(esk2_0,esk1_0,esk4_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]) ).

cnf(c_0_234,negated_conjecture,
    ~ s_t(esk4_0,esk2_0,esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_226]),c_0_214]) ).

cnf(c_0_235,negated_conjecture,
    ( s_t(esk4_0,esk2_0,esk4_0)
    | ~ s_t(esk1_0,esk2_0,esk1_0)
    | ~ s_t(esk1_0,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_236,plain,
    ( X3 = X2
    | ~ s_t(X1,X2,X3)
    | ~ s_e(X1,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_229]) ).

cnf(c_0_237,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk4_0 = esk2_0
    | ~ s_col(esk2_0,esk3_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_230]),c_0_98])]) ).

cnf(c_0_238,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk1_0 = esk2_0
    | s_col(esk2_0,esk3_0,esk4_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_225]),c_0_234]) ).

cnf(c_0_239,negated_conjecture,
    ( s_t(esk4_0,esk2_0,X1)
    | ~ s_t(esk1_0,esk2_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_235]),c_0_167]) ).

cnf(c_0_240,negated_conjecture,
    ( esk4_0 = esk1_0
    | ~ s_t(esk2_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_206]) ).

cnf(c_0_241,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk4_0 = esk2_0
    | esk3_0 = esk2_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_242,negated_conjecture,
    ~ s_t(esk1_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_234,c_0_239]) ).

cnf(c_0_243,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk1_0 = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_79])]) ).

cnf(c_0_244,negated_conjecture,
    esk3_0 = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_79])]) ).

cnf(c_0_245,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_244]),c_0_244]),c_0_50])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : GEO525+1 : TPTP v8.1.2. Released v7.0.0.
% 0.17/0.16  % Command    : run_E %s %d THM
% 0.17/0.37  % Computer : n016.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit   : 2400
% 0.17/0.37  % WCLimit    : 300
% 0.17/0.37  % DateTime   : Tue Oct  3 07:04:52 EDT 2023
% 0.17/0.37  % CPUTime    : 
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.DURERD51uZ/E---3.1_10164.p
% 1685.83/234.90  # Version: 3.1pre001
% 1685.83/234.90  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1685.83/234.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1685.83/234.90  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1685.83/234.90  # Starting new_bool_3 with 300s (1) cores
% 1685.83/234.90  # Starting new_bool_1 with 300s (1) cores
% 1685.83/234.90  # Starting sh5l with 300s (1) cores
% 1685.83/234.90  # sh5l with pid 10308 completed with status 0
% 1685.83/234.90  # Result found by sh5l
% 1685.83/234.90  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1685.83/234.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1685.83/234.90  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1685.83/234.90  # Starting new_bool_3 with 300s (1) cores
% 1685.83/234.90  # Starting new_bool_1 with 300s (1) cores
% 1685.83/234.90  # Starting sh5l with 300s (1) cores
% 1685.83/234.90  # SinE strategy is gf500_gu_R04_F100_L20000
% 1685.83/234.90  # Search class: FGHSM-FSLS33-SFFFFFNN
% 1685.83/234.90  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1685.83/234.90  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 116s (1) cores
% 1685.83/234.90  # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 10318 completed with status 7
% 1685.83/234.90  # Starting sh5l with 31s (1) cores
% 1685.83/234.90  # sh5l with pid 10417 completed with status 7
% 1685.83/234.90  # Starting G-E--_008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S with 39s (1) cores
% 1685.83/234.90  # G-E--_008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S with pid 10420 completed with status 7
% 1685.83/234.90  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with 39s (1) cores
% 1685.83/234.90  # G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with pid 10424 completed with status 7
% 1685.83/234.90  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 39s (1) cores
% 1685.83/234.90  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 10429 completed with status 0
% 1685.83/234.90  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 1685.83/234.90  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1685.83/234.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1685.83/234.90  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1685.83/234.90  # Starting new_bool_3 with 300s (1) cores
% 1685.83/234.90  # Starting new_bool_1 with 300s (1) cores
% 1685.83/234.90  # Starting sh5l with 300s (1) cores
% 1685.83/234.90  # SinE strategy is gf500_gu_R04_F100_L20000
% 1685.83/234.90  # Search class: FGHSM-FSLS33-SFFFFFNN
% 1685.83/234.90  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1685.83/234.90  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 116s (1) cores
% 1685.83/234.90  # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 10318 completed with status 7
% 1685.83/234.90  # Starting sh5l with 31s (1) cores
% 1685.83/234.90  # sh5l with pid 10417 completed with status 7
% 1685.83/234.90  # Starting G-E--_008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S with 39s (1) cores
% 1685.83/234.90  # G-E--_008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S with pid 10420 completed with status 7
% 1685.83/234.90  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with 39s (1) cores
% 1685.83/234.90  # G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with pid 10424 completed with status 7
% 1685.83/234.90  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 39s (1) cores
% 1685.83/234.90  # Preprocessing time       : 0.003 s
% 1685.83/234.90  
% 1685.83/234.90  # Proof found!
% 1685.83/234.90  # SZS status Theorem
% 1685.83/234.90  # SZS output start CNFRefutation
% See solution above
% 1685.83/234.90  # Parsed axioms                        : 209
% 1685.83/234.90  # Removed by relevancy pruning/SinE    : 35
% 1685.83/234.90  # Initial clauses                      : 207
% 1685.83/234.90  # Removed in clause preprocessing      : 0
% 1685.83/234.90  # Initial clauses in saturation        : 207
% 1685.83/234.90  # Processed clauses                    : 15295
% 1685.83/234.90  # ...of these trivial                  : 204
% 1685.83/234.90  # ...subsumed                          : 10081
% 1685.83/234.90  # ...remaining for further processing  : 5010
% 1685.83/234.90  # Other redundant clauses eliminated   : 1155
% 1685.83/234.90  # Clauses deleted for lack of memory   : 0
% 1685.83/234.90  # Backward-subsumed                    : 791
% 1685.83/234.90  # Backward-rewritten                   : 1228
% 1685.83/234.90  # Generated clauses                    : 391583
% 1685.83/234.90  # ...of the previous two non-redundant : 365702
% 1685.83/234.90  # ...aggressively subsumed             : 0
% 1685.83/234.90  # Contextual simplify-reflections      : 198
% 1685.83/234.90  # Paramodulations                      : 388602
% 1685.83/234.90  # Factorizations                       : 1786
% 1685.83/234.90  # NegExts                              : 0
% 1685.83/234.90  # Equation resolutions                 : 1195
% 1685.83/234.90  # Total rewrite steps                  : 87774
% 1685.83/234.90  # Propositional unsat checks           : 1
% 1685.83/234.90  #    Propositional check models        : 0
% 1685.83/234.90  #    Propositional check unsatisfiable : 0
% 1685.83/234.90  #    Propositional clauses             : 0
% 1685.83/234.90  #    Propositional clauses after purity: 0
% 1685.83/234.90  #    Propositional unsat core size     : 0
% 1685.83/234.90  #    Propositional preprocessing time  : 0.000
% 1685.83/234.90  #    Propositional encoding time       : 0.475
% 1685.83/234.90  #    Propositional solver time         : 0.181
% 1685.83/234.90  #    Success case prop preproc time    : 0.000
% 1685.83/234.90  #    Success case prop encoding time   : 0.000
% 1685.83/234.90  #    Success case prop solver time     : 0.000
% 1685.83/234.90  # Current number of processed clauses  : 2987
% 1685.83/234.90  #    Positive orientable unit clauses  : 169
% 1685.83/234.90  #    Positive unorientable unit clauses: 0
% 1685.83/234.90  #    Negative unit clauses             : 81
% 1685.83/234.90  #    Non-unit-clauses                  : 2737
% 1685.83/234.90  # Current number of unprocessed clauses: 344987
% 1685.83/234.90  # ...number of literals in the above   : 1577951
% 1685.83/234.90  # Current number of archived formulas  : 0
% 1685.83/234.90  # Current number of archived clauses   : 2019
% 1685.83/234.90  # Clause-clause subsumption calls (NU) : 2888406
% 1685.83/234.90  # Rec. Clause-clause subsumption calls : 1283689
% 1685.83/234.90  # Non-unit clause-clause subsumptions  : 9399
% 1685.83/234.90  # Unit Clause-clause subsumption calls : 97483
% 1685.83/234.90  # Rewrite failures with RHS unbound    : 0
% 1685.83/234.90  # BW rewrite match attempts            : 11435
% 1685.83/234.90  # BW rewrite match successes           : 17
% 1685.83/234.90  # Condensation attempts                : 0
% 1685.83/234.90  # Condensation successes               : 0
% 1685.83/234.90  # Termbank termtop insertions          : 10050682
% 1685.83/234.90  
% 1685.83/234.90  # -------------------------------------------------
% 1685.83/234.90  # User time                : 228.760 s
% 1685.83/234.90  # System time              : 4.269 s
% 1685.83/234.90  # Total time               : 233.029 s
% 1685.83/234.90  # Maximum resident set size: 3188 pages
% 1685.83/234.90  
% 1685.83/234.90  # -------------------------------------------------
% 1685.83/234.90  # User time                : 228.775 s
% 1685.83/234.90  # System time              : 4.273 s
% 1685.83/234.90  # Total time               : 233.049 s
% 1685.83/234.90  # Maximum resident set size: 2072 pages
% 1685.83/234.90  % E---3.1 exiting
% 1685.83/234.90  % E---3.1 exiting
%------------------------------------------------------------------------------