TSTP Solution File: GEO545+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO545+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:06:13 EDT 2022

% Result   : Theorem 0.45s 27.64s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  330 ( 178 unt;   0 def)
%            Number of atoms       :  615 (   0 equ)
%            Maximal formula atoms :   28 (   1 avg)
%            Number of connectives :  466 ( 181   ~; 176   |;  89   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  447 (   0 sgn 188   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012005,conjecture,
    ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ( perp(X1,X2,X3,X14)
        & perp(X1,X3,X2,X14)
        & perp(X2,X3,X1,X14)
        & midp(X22,X1,X2)
        & perp(X1,X2,X22,X8)
        & midp(X23,X1,X3)
        & perp(X1,X3,X23,X8)
        & midp(X24,X2,X3)
        & perp(X2,X3,X24,X8)
        & midp(X25,X1,X2)
        & perp(X1,X2,X25,X19)
        & midp(X26,X1,X14)
        & perp(X1,X14,X26,X19)
        & midp(X27,X2,X14)
        & perp(X2,X14,X27,X19)
        & midp(X28,X1,X14)
        & perp(X1,X14,X28,X20)
        & midp(X29,X1,X3)
        & perp(X1,X3,X29,X20)
        & midp(X30,X14,X3)
        & perp(X14,X3,X30,X20)
        & midp(X31,X2,X14)
        & perp(X2,X14,X31,X21)
        & midp(X32,X2,X3)
        & perp(X2,X3,X32,X21)
        & midp(X33,X14,X3)
        & perp(X14,X3,X33,X21) )
     => perp(X21,X8,X20,X19) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL012005) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X1,X2,X3,X4)
        & cong(X3,X4,X5,X6) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

fof(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(ruleD10,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(ruleD55,axiom,
    ! [X1,X2,X7,X8] :
      ( ( midp(X7,X1,X2)
        & perp(X8,X7,X1,X2) )
     => cong(X8,X1,X8,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(c_0_19,negated_conjecture,
    ~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
        ( ( perp(X1,X2,X3,X14)
          & perp(X1,X3,X2,X14)
          & perp(X2,X3,X1,X14)
          & midp(X22,X1,X2)
          & perp(X1,X2,X22,X8)
          & midp(X23,X1,X3)
          & perp(X1,X3,X23,X8)
          & midp(X24,X2,X3)
          & perp(X2,X3,X24,X8)
          & midp(X25,X1,X2)
          & perp(X1,X2,X25,X19)
          & midp(X26,X1,X14)
          & perp(X1,X14,X26,X19)
          & midp(X27,X2,X14)
          & perp(X2,X14,X27,X19)
          & midp(X28,X1,X14)
          & perp(X1,X14,X28,X20)
          & midp(X29,X1,X3)
          & perp(X1,X3,X29,X20)
          & midp(X30,X14,X3)
          & perp(X14,X3,X30,X20)
          & midp(X31,X2,X14)
          & perp(X2,X14,X31,X21)
          & midp(X32,X2,X3)
          & perp(X2,X3,X32,X21)
          & midp(X33,X14,X3)
          & perp(X14,X3,X33,X21) )
       => perp(X21,X8,X20,X19) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012005]) ).

fof(c_0_20,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_21,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk23_0,esk24_0)
    & perp(esk21_0,esk23_0,esk22_0,esk24_0)
    & perp(esk22_0,esk23_0,esk21_0,esk24_0)
    & midp(esk29_0,esk21_0,esk22_0)
    & perp(esk21_0,esk22_0,esk29_0,esk25_0)
    & midp(esk30_0,esk21_0,esk23_0)
    & perp(esk21_0,esk23_0,esk30_0,esk25_0)
    & midp(esk31_0,esk22_0,esk23_0)
    & perp(esk22_0,esk23_0,esk31_0,esk25_0)
    & midp(esk32_0,esk21_0,esk22_0)
    & perp(esk21_0,esk22_0,esk32_0,esk26_0)
    & midp(esk33_0,esk21_0,esk24_0)
    & perp(esk21_0,esk24_0,esk33_0,esk26_0)
    & midp(esk34_0,esk22_0,esk24_0)
    & perp(esk22_0,esk24_0,esk34_0,esk26_0)
    & midp(esk35_0,esk21_0,esk24_0)
    & perp(esk21_0,esk24_0,esk35_0,esk27_0)
    & midp(esk36_0,esk21_0,esk23_0)
    & perp(esk21_0,esk23_0,esk36_0,esk27_0)
    & midp(esk37_0,esk24_0,esk23_0)
    & perp(esk24_0,esk23_0,esk37_0,esk27_0)
    & midp(esk38_0,esk22_0,esk24_0)
    & perp(esk22_0,esk24_0,esk38_0,esk28_0)
    & midp(esk39_0,esk22_0,esk23_0)
    & perp(esk22_0,esk23_0,esk39_0,esk28_0)
    & midp(esk40_0,esk24_0,esk23_0)
    & perp(esk24_0,esk23_0,esk40_0,esk28_0)
    & ~ perp(esk28_0,esk25_0,esk27_0,esk26_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).

fof(c_0_22,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_23,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    midp(esk39_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_25,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_26,plain,
    ! [X5,X6,X7,X8] :
      ( ~ coll(X5,X6,X7)
      | ~ coll(X5,X6,X8)
      | coll(X7,X8,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_27,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    coll(esk39_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    midp(esk38_0,esk22_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_30,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_31,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    coll(esk39_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    coll(esk38_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_23,c_0_29]) ).

fof(c_0_35,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ cong(X7,X8,X9,X10)
      | ~ cong(X9,X10,X11,X12)
      | cong(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_36,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    midp(esk39_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_31,c_0_24]) ).

cnf(c_0_38,negated_conjecture,
    ( coll(X1,esk22_0,esk39_0)
    | ~ coll(esk39_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,negated_conjecture,
    coll(esk38_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_27,c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    midp(esk40_0,esk24_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_41,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ midp(X12,X10,X11)
      | para(X8,X10,X9,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).

cnf(c_0_42,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,negated_conjecture,
    cong(esk39_0,esk23_0,esk39_0,esk22_0),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_44,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_45,negated_conjecture,
    coll(esk22_0,esk22_0,esk39_0),
    inference(spm,[status(thm)],[c_0_38,c_0_33]) ).

cnf(c_0_46,negated_conjecture,
    midp(esk38_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_31,c_0_29]) ).

cnf(c_0_47,negated_conjecture,
    ( coll(X1,esk22_0,esk38_0)
    | ~ coll(esk38_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_39]) ).

fof(c_0_48,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk40_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_23,c_0_40]) ).

fof(c_0_50,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ para(X8,X10,X9,X11)
      | ~ para(X8,X11,X9,X10)
      | midp(X12,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_51,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_52,plain,
    ! [X4,X5,X6] :
      ( ~ cong(X4,X5,X4,X6)
      | ~ coll(X4,X5,X6)
      | midp(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_53,negated_conjecture,
    ( cong(X1,X2,esk39_0,esk22_0)
    | ~ cong(X1,X2,esk39_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_54,negated_conjecture,
    cong(esk39_0,esk22_0,esk39_0,esk23_0),
    inference(spm,[status(thm)],[c_0_36,c_0_24]) ).

cnf(c_0_55,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk22_0,esk39_0,esk22_0),
    inference(spm,[status(thm)],[c_0_27,c_0_45]) ).

cnf(c_0_57,negated_conjecture,
    cong(esk38_0,esk24_0,esk38_0,esk22_0),
    inference(spm,[status(thm)],[c_0_36,c_0_46]) ).

cnf(c_0_58,negated_conjecture,
    coll(esk22_0,esk22_0,esk38_0),
    inference(spm,[status(thm)],[c_0_47,c_0_39]) ).

cnf(c_0_59,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_60,negated_conjecture,
    midp(esk36_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_61,negated_conjecture,
    ( coll(X1,esk23_0,esk40_0)
    | ~ coll(esk40_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_49]) ).

cnf(c_0_62,plain,
    ( midp(X1,X2,X3)
    | ~ para(X4,X3,X5,X2)
    | ~ para(X4,X2,X5,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_63,negated_conjecture,
    ( para(X1,esk22_0,X2,esk23_0)
    | ~ midp(esk39_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_24]) ).

cnf(c_0_64,negated_conjecture,
    ( para(X1,esk23_0,X2,esk22_0)
    | ~ midp(esk39_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_37]) ).

cnf(c_0_65,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_66,negated_conjecture,
    cong(esk39_0,esk22_0,esk39_0,esk22_0),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk39_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_68,negated_conjecture,
    ( cong(X1,X2,esk38_0,esk22_0)
    | ~ cong(X1,X2,esk38_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    cong(esk38_0,esk22_0,esk38_0,esk24_0),
    inference(spm,[status(thm)],[c_0_36,c_0_29]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk22_0,esk38_0,esk22_0),
    inference(spm,[status(thm)],[c_0_27,c_0_58]) ).

cnf(c_0_71,negated_conjecture,
    cong(esk39_0,esk22_0,esk23_0,esk39_0),
    inference(spm,[status(thm)],[c_0_59,c_0_54]) ).

cnf(c_0_72,negated_conjecture,
    ( coll(X1,esk23_0,esk39_0)
    | ~ coll(esk39_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_28]) ).

cnf(c_0_73,negated_conjecture,
    cong(esk36_0,esk21_0,esk36_0,esk23_0),
    inference(spm,[status(thm)],[c_0_36,c_0_60]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk36_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_23,c_0_60]) ).

fof(c_0_75,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_76,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | perp(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

cnf(c_0_77,negated_conjecture,
    midp(esk40_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_31,c_0_40]) ).

cnf(c_0_78,negated_conjecture,
    cong(esk40_0,esk24_0,esk40_0,esk23_0),
    inference(spm,[status(thm)],[c_0_36,c_0_40]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk23_0,esk23_0,esk40_0),
    inference(spm,[status(thm)],[c_0_61,c_0_49]) ).

cnf(c_0_80,negated_conjecture,
    ( para(X1,esk22_0,X2,esk24_0)
    | ~ midp(esk38_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_29]) ).

cnf(c_0_81,negated_conjecture,
    ( para(X1,esk24_0,X2,esk22_0)
    | ~ midp(esk38_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_46]) ).

cnf(c_0_82,negated_conjecture,
    ( midp(X1,esk23_0,esk22_0)
    | ~ midp(esk39_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_83,negated_conjecture,
    midp(esk39_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).

cnf(c_0_84,negated_conjecture,
    cong(esk38_0,esk22_0,esk38_0,esk22_0),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk38_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_55,c_0_70]) ).

fof(c_0_86,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

cnf(c_0_87,negated_conjecture,
    ( cong(X1,X2,esk23_0,esk39_0)
    | ~ cong(X1,X2,esk39_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_71]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk23_0,esk23_0,esk39_0),
    inference(spm,[status(thm)],[c_0_72,c_0_28]) ).

cnf(c_0_89,negated_conjecture,
    cong(esk36_0,esk21_0,esk23_0,esk36_0),
    inference(spm,[status(thm)],[c_0_59,c_0_73]) ).

cnf(c_0_90,negated_conjecture,
    midp(esk36_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_31,c_0_60]) ).

cnf(c_0_91,negated_conjecture,
    ( coll(X1,esk23_0,esk36_0)
    | ~ coll(esk36_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_74]) ).

fof(c_0_92,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

cnf(c_0_93,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_94,negated_conjecture,
    perp(esk24_0,esk23_0,esk37_0,esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_95,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_96,negated_conjecture,
    ( para(X1,esk23_0,X2,esk24_0)
    | ~ midp(esk40_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_77]) ).

cnf(c_0_97,negated_conjecture,
    perp(esk21_0,esk22_0,esk23_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_98,negated_conjecture,
    ( cong(X1,X2,esk40_0,esk23_0)
    | ~ cong(X1,X2,esk40_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_78]) ).

cnf(c_0_99,negated_conjecture,
    cong(esk40_0,esk23_0,esk40_0,esk24_0),
    inference(spm,[status(thm)],[c_0_36,c_0_77]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk23_0,esk40_0,esk23_0),
    inference(spm,[status(thm)],[c_0_27,c_0_79]) ).

cnf(c_0_101,negated_conjecture,
    ( midp(X1,esk24_0,esk22_0)
    | ~ midp(esk38_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_80]),c_0_81]) ).

cnf(c_0_102,negated_conjecture,
    ( midp(X1,esk23_0,esk22_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_103,negated_conjecture,
    midp(esk38_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_84]),c_0_85])]) ).

cnf(c_0_104,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_105,negated_conjecture,
    perp(esk22_0,esk24_0,esk38_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_106,negated_conjecture,
    cong(esk39_0,esk23_0,esk23_0,esk39_0),
    inference(spm,[status(thm)],[c_0_87,c_0_43]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk23_0,esk39_0,esk23_0),
    inference(spm,[status(thm)],[c_0_27,c_0_88]) ).

cnf(c_0_108,negated_conjecture,
    ( cong(X1,X2,esk23_0,esk36_0)
    | ~ cong(X1,X2,esk36_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_89]) ).

cnf(c_0_109,negated_conjecture,
    cong(esk36_0,esk23_0,esk36_0,esk21_0),
    inference(spm,[status(thm)],[c_0_36,c_0_90]) ).

cnf(c_0_110,negated_conjecture,
    coll(esk23_0,esk23_0,esk36_0),
    inference(spm,[status(thm)],[c_0_91,c_0_74]) ).

cnf(c_0_111,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_112,negated_conjecture,
    perp(esk37_0,esk27_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_113,negated_conjecture,
    ( perp(X1,esk23_0,X2,X3)
    | ~ midp(esk40_0,X1,X4)
    | ~ perp(X4,esk24_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_114,negated_conjecture,
    perp(esk23_0,esk24_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_93,c_0_97]) ).

cnf(c_0_115,negated_conjecture,
    cong(esk40_0,esk23_0,esk40_0,esk23_0),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_116,negated_conjecture,
    coll(esk40_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_100]) ).

cnf(c_0_117,negated_conjecture,
    ( midp(X1,esk24_0,esk22_0)
    | ~ midp(X1,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).

cnf(c_0_118,negated_conjecture,
    perp(esk22_0,esk24_0,esk28_0,esk38_0),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_119,negated_conjecture,
    cong(esk39_0,esk23_0,esk39_0,esk23_0),
    inference(spm,[status(thm)],[c_0_59,c_0_106]) ).

cnf(c_0_120,negated_conjecture,
    coll(esk39_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_107]) ).

cnf(c_0_121,negated_conjecture,
    cong(esk36_0,esk23_0,esk23_0,esk36_0),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_122,negated_conjecture,
    coll(esk23_0,esk36_0,esk23_0),
    inference(spm,[status(thm)],[c_0_27,c_0_110]) ).

cnf(c_0_123,negated_conjecture,
    coll(esk21_0,esk36_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_74]) ).

cnf(c_0_124,negated_conjecture,
    ( para(X1,X2,esk23_0,esk24_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_97]) ).

cnf(c_0_125,negated_conjecture,
    perp(esk37_0,esk27_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_104,c_0_112]) ).

cnf(c_0_126,negated_conjecture,
    ( perp(X1,esk23_0,esk21_0,esk22_0)
    | ~ midp(esk40_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_127,negated_conjecture,
    midp(esk40_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_115]),c_0_116])]) ).

cnf(c_0_128,negated_conjecture,
    ( midp(X1,esk22_0,esk24_0)
    | ~ midp(X1,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_117]) ).

cnf(c_0_129,negated_conjecture,
    ( coll(X1,esk40_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_79]) ).

cnf(c_0_130,negated_conjecture,
    perp(esk28_0,esk38_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_118]) ).

cnf(c_0_131,negated_conjecture,
    midp(esk39_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_119]),c_0_120])]) ).

cnf(c_0_132,negated_conjecture,
    cong(esk36_0,esk23_0,esk36_0,esk23_0),
    inference(spm,[status(thm)],[c_0_59,c_0_121]) ).

cnf(c_0_133,negated_conjecture,
    coll(esk36_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_122]) ).

cnf(c_0_134,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk36_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_123]) ).

cnf(c_0_135,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk23_0,esk24_0,X3,X4)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_124]) ).

cnf(c_0_136,negated_conjecture,
    perp(esk23_0,esk24_0,esk37_0,esk27_0),
    inference(spm,[status(thm)],[c_0_93,c_0_125]) ).

cnf(c_0_137,negated_conjecture,
    ( perp(X1,esk22_0,X2,X3)
    | ~ midp(esk39_0,X1,X4)
    | ~ perp(X4,esk23_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_63]) ).

cnf(c_0_138,negated_conjecture,
    perp(esk23_0,esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_139,negated_conjecture,
    midp(esk39_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_128,c_0_37]) ).

cnf(c_0_140,negated_conjecture,
    coll(esk39_0,esk40_0,esk23_0),
    inference(spm,[status(thm)],[c_0_129,c_0_88]) ).

cnf(c_0_141,negated_conjecture,
    perp(esk22_0,esk24_0,esk34_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_142,negated_conjecture,
    perp(esk21_0,esk23_0,esk22_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_143,negated_conjecture,
    perp(esk28_0,esk38_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_104,c_0_130]) ).

cnf(c_0_144,negated_conjecture,
    ( para(X1,esk24_0,X2,esk23_0)
    | ~ midp(esk40_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_40]) ).

cnf(c_0_145,negated_conjecture,
    ( para(X1,esk21_0,X2,esk23_0)
    | ~ midp(esk36_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_60]) ).

cnf(c_0_146,negated_conjecture,
    ( para(X1,esk23_0,X2,esk21_0)
    | ~ midp(esk36_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_90]) ).

cnf(c_0_147,negated_conjecture,
    ( midp(X1,esk23_0,esk22_0)
    | ~ midp(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_82,c_0_131]) ).

cnf(c_0_148,negated_conjecture,
    midp(esk36_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_132]),c_0_133])]) ).

cnf(c_0_149,negated_conjecture,
    ( coll(X1,esk39_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_88]) ).

cnf(c_0_150,negated_conjecture,
    coll(esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_134,c_0_123]) ).

cnf(c_0_151,negated_conjecture,
    ( perp(X1,esk23_0,X2,X3)
    | ~ midp(esk39_0,X1,X4)
    | ~ perp(X4,esk22_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_64]) ).

cnf(c_0_152,negated_conjecture,
    ( perp(X1,X2,esk37_0,esk27_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_153,negated_conjecture,
    ( perp(X1,esk22_0,esk21_0,esk22_0)
    | ~ midp(esk39_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_154,negated_conjecture,
    midp(esk39_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_31,c_0_139]) ).

cnf(c_0_155,negated_conjecture,
    coll(esk40_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_27,c_0_49]) ).

cnf(c_0_156,negated_conjecture,
    coll(esk39_0,esk23_0,esk40_0),
    inference(spm,[status(thm)],[c_0_27,c_0_140]) ).

cnf(c_0_157,negated_conjecture,
    perp(esk34_0,esk26_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_141]) ).

cnf(c_0_158,negated_conjecture,
    ( para(X1,X2,esk22_0,esk24_0)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_142]) ).

cnf(c_0_159,negated_conjecture,
    perp(esk24_0,esk22_0,esk28_0,esk38_0),
    inference(spm,[status(thm)],[c_0_93,c_0_143]) ).

cnf(c_0_160,negated_conjecture,
    ( midp(X1,esk23_0,esk24_0)
    | ~ midp(esk40_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_144]),c_0_96]) ).

cnf(c_0_161,negated_conjecture,
    ( midp(X1,esk23_0,esk21_0)
    | ~ midp(esk36_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_145]),c_0_146]) ).

cnf(c_0_162,negated_conjecture,
    midp(esk36_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_163,negated_conjecture,
    coll(esk21_0,esk39_0,esk23_0),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_164,negated_conjecture,
    ( perp(X1,esk23_0,esk37_0,esk27_0)
    | ~ midp(esk39_0,X1,X2)
    | ~ perp(X2,esk22_0,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_165,negated_conjecture,
    perp(esk22_0,esk22_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_153,c_0_24]) ).

cnf(c_0_166,negated_conjecture,
    cong(esk39_0,esk24_0,esk39_0,esk22_0),
    inference(spm,[status(thm)],[c_0_36,c_0_154]) ).

cnf(c_0_167,negated_conjecture,
    coll(esk23_0,esk40_0,esk24_0),
    inference(spm,[status(thm)],[c_0_55,c_0_155]) ).

cnf(c_0_168,negated_conjecture,
    coll(esk23_0,esk39_0,esk40_0),
    inference(spm,[status(thm)],[c_0_55,c_0_156]) ).

cnf(c_0_169,negated_conjecture,
    ( para(X1,X2,esk22_0,esk24_0)
    | ~ perp(X1,X2,esk34_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_157]) ).

cnf(c_0_170,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk22_0,esk24_0,X3,X4)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_158]) ).

cnf(c_0_171,negated_conjecture,
    perp(esk38_0,esk28_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_105]) ).

cnf(c_0_172,negated_conjecture,
    ( perp(X1,esk23_0,esk28_0,esk38_0)
    | ~ midp(esk39_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_159]) ).

cnf(c_0_173,negated_conjecture,
    ( midp(X1,esk23_0,esk24_0)
    | ~ midp(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_127]) ).

cnf(c_0_174,negated_conjecture,
    ( cong(X1,X2,esk39_0,esk23_0)
    | ~ cong(X1,X2,esk39_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_54]) ).

cnf(c_0_175,negated_conjecture,
    ( midp(X1,esk23_0,esk21_0)
    | ~ midp(X1,esk24_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_117]),c_0_162])]) ).

cnf(c_0_176,negated_conjecture,
    coll(esk39_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_163]) ).

cnf(c_0_177,negated_conjecture,
    perp(esk22_0,esk23_0,esk37_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_83]),c_0_165])]) ).

cnf(c_0_178,negated_conjecture,
    cong(esk39_0,esk24_0,esk23_0,esk39_0),
    inference(spm,[status(thm)],[c_0_87,c_0_166]) ).

cnf(c_0_179,negated_conjecture,
    ( coll(X1,esk24_0,esk23_0)
    | ~ coll(esk23_0,esk40_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_167]) ).

cnf(c_0_180,negated_conjecture,
    coll(esk23_0,esk40_0,esk39_0),
    inference(spm,[status(thm)],[c_0_27,c_0_168]) ).

cnf(c_0_181,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk22_0,esk24_0,X3,X4)
    | ~ perp(X1,X2,esk34_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_169]) ).

cnf(c_0_182,negated_conjecture,
    ( perp(X1,X2,esk38_0,esk28_0)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_170,c_0_105]) ).

cnf(c_0_183,negated_conjecture,
    perp(esk22_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_142]) ).

cnf(c_0_184,negated_conjecture,
    ( para(X1,X2,esk22_0,esk24_0)
    | ~ perp(X1,X2,esk38_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_171]) ).

cnf(c_0_185,negated_conjecture,
    ( perp(esk23_0,esk23_0,esk28_0,esk38_0)
    | ~ midp(esk39_0,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_186,negated_conjecture,
    ( midp(esk39_0,X1,esk23_0)
    | ~ cong(esk39_0,X1,esk39_0,esk22_0)
    | ~ coll(esk39_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_174]) ).

cnf(c_0_187,negated_conjecture,
    midp(esk39_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_175,c_0_154]) ).

cnf(c_0_188,negated_conjecture,
    coll(esk39_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_27,c_0_176]) ).

cnf(c_0_189,negated_conjecture,
    perp(esk22_0,esk24_0,esk26_0,esk34_0),
    inference(spm,[status(thm)],[c_0_104,c_0_141]) ).

cnf(c_0_190,negated_conjecture,
    perp(esk22_0,esk23_0,esk27_0,esk37_0),
    inference(spm,[status(thm)],[c_0_104,c_0_177]) ).

cnf(c_0_191,negated_conjecture,
    cong(esk39_0,esk24_0,esk39_0,esk23_0),
    inference(spm,[status(thm)],[c_0_59,c_0_178]) ).

cnf(c_0_192,negated_conjecture,
    coll(esk39_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_193,negated_conjecture,
    ( perp(X1,esk24_0,X2,X3)
    | ~ midp(esk40_0,X1,X4)
    | ~ perp(X4,esk23_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_144]) ).

cnf(c_0_194,negated_conjecture,
    ( perp(X1,X2,esk38_0,esk28_0)
    | ~ perp(X1,X2,esk34_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183])]) ).

cnf(c_0_195,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk22_0,esk24_0,X3,X4)
    | ~ perp(X1,X2,esk38_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_184]) ).

cnf(c_0_196,negated_conjecture,
    ( perp(X1,X2,esk34_0,esk26_0)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_170,c_0_141]) ).

cnf(c_0_197,negated_conjecture,
    perp(esk23_0,esk23_0,esk28_0,esk38_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_43]),c_0_120])]) ).

cnf(c_0_198,negated_conjecture,
    perp(esk24_0,esk23_0,esk40_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_199,negated_conjecture,
    perp(esk22_0,esk23_0,esk21_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_200,negated_conjecture,
    midp(esk39_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_31,c_0_187]) ).

cnf(c_0_201,negated_conjecture,
    coll(esk21_0,esk22_0,esk39_0),
    inference(spm,[status(thm)],[c_0_38,c_0_188]) ).

fof(c_0_202,plain,
    ! [X9,X10,X11,X12] :
      ( ~ midp(X11,X9,X10)
      | ~ perp(X12,X11,X9,X10)
      | cong(X12,X9,X12,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_203,negated_conjecture,
    perp(esk26_0,esk34_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_189]) ).

cnf(c_0_204,negated_conjecture,
    midp(esk34_0,esk22_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_205,negated_conjecture,
    perp(esk24_0,esk23_0,esk27_0,esk37_0),
    inference(spm,[status(thm)],[c_0_104,c_0_94]) ).

cnf(c_0_206,negated_conjecture,
    perp(esk27_0,esk37_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_190]) ).

cnf(c_0_207,negated_conjecture,
    midp(esk39_0,esk24_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_191]),c_0_192])]) ).

cnf(c_0_208,negated_conjecture,
    ( perp(X1,esk24_0,esk38_0,esk28_0)
    | ~ midp(esk40_0,X1,X2)
    | ~ perp(X2,esk23_0,esk34_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_209,negated_conjecture,
    ( perp(X1,X2,esk34_0,esk26_0)
    | ~ perp(X1,X2,esk38_0,esk28_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_183])]) ).

cnf(c_0_210,negated_conjecture,
    perp(esk23_0,esk23_0,esk38_0,esk28_0),
    inference(spm,[status(thm)],[c_0_104,c_0_197]) ).

cnf(c_0_211,negated_conjecture,
    perp(esk40_0,esk28_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_198]) ).

cnf(c_0_212,negated_conjecture,
    perp(esk21_0,esk24_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_199]) ).

cnf(c_0_213,negated_conjecture,
    perp(esk22_0,esk23_0,esk39_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_214,negated_conjecture,
    cong(esk39_0,esk21_0,esk39_0,esk23_0),
    inference(spm,[status(thm)],[c_0_36,c_0_200]) ).

cnf(c_0_215,negated_conjecture,
    coll(esk21_0,esk39_0,esk22_0),
    inference(spm,[status(thm)],[c_0_27,c_0_201]) ).

cnf(c_0_216,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_202]) ).

cnf(c_0_217,negated_conjecture,
    perp(esk26_0,esk34_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_104,c_0_203]) ).

cnf(c_0_218,negated_conjecture,
    midp(esk34_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_31,c_0_204]) ).

cnf(c_0_219,negated_conjecture,
    perp(esk27_0,esk37_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_205]) ).

cnf(c_0_220,negated_conjecture,
    midp(esk37_0,esk24_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_221,negated_conjecture,
    perp(esk27_0,esk37_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_104,c_0_206]) ).

cnf(c_0_222,negated_conjecture,
    ( midp(X1,esk23_0,esk22_0)
    | ~ midp(X1,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_82,c_0_207]) ).

cnf(c_0_223,negated_conjecture,
    ( perp(esk23_0,esk24_0,esk38_0,esk28_0)
    | ~ perp(esk23_0,esk23_0,esk34_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_208,c_0_127]) ).

cnf(c_0_224,negated_conjecture,
    perp(esk23_0,esk23_0,esk34_0,esk26_0),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_225,negated_conjecture,
    perp(esk40_0,esk28_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_104,c_0_211]) ).

cnf(c_0_226,negated_conjecture,
    ( para(X1,X2,esk22_0,esk23_0)
    | ~ perp(X1,X2,esk21_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_212]) ).

cnf(c_0_227,negated_conjecture,
    perp(esk21_0,esk23_0,esk30_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_228,negated_conjecture,
    perp(esk22_0,esk23_0,esk28_0,esk39_0),
    inference(spm,[status(thm)],[c_0_104,c_0_213]) ).

cnf(c_0_229,negated_conjecture,
    cong(esk39_0,esk21_0,esk39_0,esk22_0),
    inference(spm,[status(thm)],[c_0_53,c_0_214]) ).

cnf(c_0_230,negated_conjecture,
    coll(esk39_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_55,c_0_215]) ).

fof(c_0_231,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_232,negated_conjecture,
    cong(esk26_0,esk24_0,esk26_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218])]) ).

cnf(c_0_233,negated_conjecture,
    cong(esk27_0,esk24_0,esk27_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_219]),c_0_220])]) ).

cnf(c_0_234,negated_conjecture,
    ( cong(esk27_0,esk23_0,esk27_0,esk22_0)
    | ~ midp(esk37_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_216,c_0_221]) ).

cnf(c_0_235,negated_conjecture,
    midp(esk37_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_222,c_0_220]) ).

cnf(c_0_236,negated_conjecture,
    ( perp(X1,X2,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk38_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_195,c_0_183]) ).

cnf(c_0_237,negated_conjecture,
    perp(esk23_0,esk24_0,esk38_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224])]) ).

cnf(c_0_238,negated_conjecture,
    perp(esk23_0,esk24_0,esk40_0,esk28_0),
    inference(spm,[status(thm)],[c_0_93,c_0_225]) ).

cnf(c_0_239,negated_conjecture,
    perp(esk22_0,esk23_0,esk31_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_240,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk22_0,esk23_0,X3,X4)
    | ~ perp(X1,X2,esk21_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_226]) ).

cnf(c_0_241,negated_conjecture,
    perp(esk21_0,esk23_0,esk25_0,esk30_0),
    inference(spm,[status(thm)],[c_0_104,c_0_227]) ).

cnf(c_0_242,negated_conjecture,
    ( perp(X1,esk22_0,esk28_0,esk39_0)
    | ~ midp(esk39_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_228]) ).

cnf(c_0_243,negated_conjecture,
    midp(esk39_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_229]),c_0_230])]) ).

cnf(c_0_244,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_231]) ).

cnf(c_0_245,negated_conjecture,
    cong(esk26_0,esk24_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_59,c_0_232]) ).

cnf(c_0_246,negated_conjecture,
    cong(esk27_0,esk24_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_59,c_0_233]) ).

cnf(c_0_247,negated_conjecture,
    cong(esk27_0,esk23_0,esk27_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_235])]) ).

cnf(c_0_248,negated_conjecture,
    ( para(X1,X2,esk24_0,esk23_0)
    | ~ perp(X1,X2,esk40_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_211]) ).

cnf(c_0_249,negated_conjecture,
    ( perp(X1,X2,esk38_0,esk28_0)
    | ~ perp(esk23_0,esk24_0,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_182]) ).

cnf(c_0_250,negated_conjecture,
    perp(esk23_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_251,negated_conjecture,
    perp(esk21_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_104,c_0_97]) ).

cnf(c_0_252,negated_conjecture,
    ( perp(X1,X2,esk40_0,esk28_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_238]) ).

cnf(c_0_253,negated_conjecture,
    perp(esk31_0,esk25_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_239]) ).

cnf(c_0_254,negated_conjecture,
    ( perp(X1,X2,esk31_0,esk25_0)
    | ~ perp(X1,X2,esk21_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_239]) ).

cnf(c_0_255,negated_conjecture,
    perp(esk21_0,esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_104,c_0_212]) ).

cnf(c_0_256,negated_conjecture,
    perp(esk25_0,esk30_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_241]) ).

cnf(c_0_257,negated_conjecture,
    midp(esk30_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_258,negated_conjecture,
    perp(esk28_0,esk39_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_228]) ).

cnf(c_0_259,negated_conjecture,
    perp(esk21_0,esk22_0,esk28_0,esk39_0),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

fof(c_0_260,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | perp(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_261,negated_conjecture,
    cong(esk22_0,esk26_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_262,negated_conjecture,
    cong(esk23_0,esk27_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_244,c_0_246]) ).

cnf(c_0_263,negated_conjecture,
    cong(esk27_0,esk23_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_59,c_0_247]) ).

cnf(c_0_264,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk24_0,esk23_0,X3,X4)
    | ~ perp(X1,X2,esk40_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_248]) ).

cnf(c_0_265,negated_conjecture,
    ( perp(X1,X2,esk38_0,esk28_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_250])]) ).

cnf(c_0_266,negated_conjecture,
    perp(esk24_0,esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_93,c_0_251]) ).

cnf(c_0_267,negated_conjecture,
    ( perp(X1,esk23_0,esk40_0,esk28_0)
    | ~ midp(esk39_0,X1,X2)
    | ~ perp(X2,esk22_0,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_252]) ).

cnf(c_0_268,negated_conjecture,
    ( para(X1,X2,esk22_0,esk23_0)
    | ~ perp(X1,X2,esk31_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_253]) ).

cnf(c_0_269,negated_conjecture,
    ( perp(X1,esk23_0,esk31_0,esk25_0)
    | ~ midp(esk39_0,X1,X2)
    | ~ perp(X2,esk22_0,esk21_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_254]) ).

cnf(c_0_270,negated_conjecture,
    ( midp(X1,esk24_0,esk23_0)
    | ~ midp(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_173]) ).

cnf(c_0_271,negated_conjecture,
    perp(esk23_0,esk22_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_255]) ).

cnf(c_0_272,negated_conjecture,
    ( perp(X1,esk23_0,esk37_0,esk27_0)
    | ~ midp(esk40_0,X1,X2)
    | ~ perp(X2,esk24_0,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_152]) ).

cnf(c_0_273,negated_conjecture,
    perp(esk25_0,esk30_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_104,c_0_256]) ).

cnf(c_0_274,negated_conjecture,
    midp(esk30_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_31,c_0_257]) ).

cnf(c_0_275,negated_conjecture,
    perp(esk28_0,esk39_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_104,c_0_258]) ).

cnf(c_0_276,negated_conjecture,
    perp(esk28_0,esk39_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_93,c_0_259]) ).

cnf(c_0_277,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_260]) ).

cnf(c_0_278,negated_conjecture,
    cong(esk22_0,esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_59,c_0_261]) ).

cnf(c_0_279,negated_conjecture,
    cong(esk23_0,esk27_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_59,c_0_262]) ).

cnf(c_0_280,negated_conjecture,
    cong(esk22_0,esk27_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_244,c_0_263]) ).

cnf(c_0_281,negated_conjecture,
    ( perp(X1,X2,esk38_0,esk28_0)
    | ~ perp(X1,X2,esk40_0,esk28_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266])]) ).

cnf(c_0_282,negated_conjecture,
    perp(esk22_0,esk23_0,esk40_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_83]),c_0_165])]) ).

cnf(c_0_283,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk22_0,esk23_0,X3,X4)
    | ~ perp(X1,X2,esk31_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_268]) ).

cnf(c_0_284,negated_conjecture,
    ( perp(esk24_0,esk23_0,esk31_0,esk25_0)
    | ~ midp(esk39_0,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271])]) ).

cnf(c_0_285,negated_conjecture,
    perp(esk23_0,esk23_0,esk37_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_127]),c_0_114])]) ).

cnf(c_0_286,negated_conjecture,
    cong(esk25_0,esk23_0,esk25_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_273]),c_0_274])]) ).

cnf(c_0_287,negated_conjecture,
    cong(esk28_0,esk23_0,esk28_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_275]),c_0_37])]) ).

cnf(c_0_288,negated_conjecture,
    cong(esk28_0,esk21_0,esk28_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_276]),c_0_243])]) ).

cnf(c_0_289,negated_conjecture,
    ( perp(esk22_0,esk24_0,X1,esk26_0)
    | ~ cong(esk22_0,X1,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_290,negated_conjecture,
    ( cong(X1,X2,esk24_0,esk27_0)
    | ~ cong(X1,X2,esk23_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_279]) ).

cnf(c_0_291,negated_conjecture,
    cong(esk22_0,esk27_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_59,c_0_280]) ).

cnf(c_0_292,negated_conjecture,
    perp(esk22_0,esk23_0,esk38_0,esk28_0),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_293,negated_conjecture,
    ( para(X1,X2,esk24_0,esk23_0)
    | ~ perp(X1,X2,esk37_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_294,negated_conjecture,
    ( perp(X1,X2,esk21_0,esk24_0)
    | ~ perp(X1,X2,esk31_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_283,c_0_199]) ).

cnf(c_0_295,negated_conjecture,
    perp(esk24_0,esk23_0,esk31_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_186]),c_0_43]),c_0_120])]) ).

cnf(c_0_296,negated_conjecture,
    ( perp(X1,esk22_0,esk37_0,esk27_0)
    | ~ midp(esk39_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_285]) ).

cnf(c_0_297,negated_conjecture,
    cong(esk25_0,esk23_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_286]) ).

cnf(c_0_298,negated_conjecture,
    cong(esk28_0,esk23_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_59,c_0_287]) ).

cnf(c_0_299,negated_conjecture,
    cong(esk28_0,esk21_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_59,c_0_288]) ).

cnf(c_0_300,negated_conjecture,
    perp(esk22_0,esk24_0,esk27_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291])]) ).

cnf(c_0_301,negated_conjecture,
    ( perp(X1,X2,esk34_0,esk26_0)
    | ~ perp(esk22_0,esk23_0,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk21_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_196]) ).

cnf(c_0_302,negated_conjecture,
    perp(esk22_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_236,c_0_292]) ).

cnf(c_0_303,negated_conjecture,
    perp(esk21_0,esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_104,c_0_142]) ).

cnf(c_0_304,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk24_0,esk23_0,X3,X4)
    | ~ perp(X1,X2,esk37_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_293]) ).

cnf(c_0_305,negated_conjecture,
    perp(esk24_0,esk23_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_306,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk37_0,esk27_0)
    | ~ midp(esk39_0,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_296,c_0_270]) ).

cnf(c_0_307,negated_conjecture,
    cong(esk21_0,esk25_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_244,c_0_297]) ).

cnf(c_0_308,negated_conjecture,
    cong(esk22_0,esk28_0,esk28_0,esk23_0),
    inference(spm,[status(thm)],[c_0_244,c_0_298]) ).

cnf(c_0_309,negated_conjecture,
    cong(esk22_0,esk28_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_244,c_0_299]) ).

cnf(c_0_310,negated_conjecture,
    ( perp(X1,X2,esk27_0,esk26_0)
    | ~ perp(X1,X2,esk34_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_300]) ).

cnf(c_0_311,negated_conjecture,
    ( perp(X1,X2,esk34_0,esk26_0)
    | ~ perp(X1,X2,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_302])]) ).

cnf(c_0_312,negated_conjecture,
    ( para(X1,X2,esk24_0,esk22_0)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_303]) ).

cnf(c_0_313,negated_conjecture,
    ( perp(X1,X2,esk21_0,esk24_0)
    | ~ perp(X1,X2,esk37_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_314,negated_conjecture,
    perp(esk24_0,esk22_0,esk37_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_186]),c_0_43]),c_0_120])]) ).

cnf(c_0_315,negated_conjecture,
    cong(esk21_0,esk25_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_307]) ).

cnf(c_0_316,negated_conjecture,
    cong(esk22_0,esk28_0,esk23_0,esk28_0),
    inference(spm,[status(thm)],[c_0_59,c_0_308]) ).

cnf(c_0_317,negated_conjecture,
    cong(esk22_0,esk28_0,esk21_0,esk28_0),
    inference(spm,[status(thm)],[c_0_59,c_0_309]) ).

cnf(c_0_318,negated_conjecture,
    ~ perp(esk28_0,esk25_0,esk27_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_319,negated_conjecture,
    ( perp(X1,X2,esk27_0,esk26_0)
    | ~ perp(X1,X2,esk21_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_310,c_0_311]) ).

cnf(c_0_320,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk24_0,esk22_0,X3,X4)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_312]) ).

cnf(c_0_321,negated_conjecture,
    perp(esk24_0,esk22_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_322,negated_conjecture,
    ( perp(esk21_0,esk23_0,X1,esk25_0)
    | ~ cong(esk21_0,X1,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_315]) ).

cnf(c_0_323,negated_conjecture,
    ( cong(X1,X2,esk23_0,esk28_0)
    | ~ cong(X1,X2,esk22_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_316]) ).

cnf(c_0_324,negated_conjecture,
    cong(esk21_0,esk28_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_244,c_0_317]) ).

cnf(c_0_325,negated_conjecture,
    ~ perp(esk28_0,esk25_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_326,negated_conjecture,
    ( perp(X1,X2,esk21_0,esk24_0)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_320,c_0_321]) ).

cnf(c_0_327,negated_conjecture,
    perp(esk21_0,esk23_0,esk28_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324])]) ).

cnf(c_0_328,negated_conjecture,
    ~ perp(esk28_0,esk25_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_329,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_327]),c_0_328]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO545+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14  % Command  : run_ET %s %d
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jun 18 03:52:19 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.44/23.43  eprover: CPU time limit exceeded, terminating
% 0.44/23.44  eprover: CPU time limit exceeded, terminating
% 0.44/23.44  eprover: CPU time limit exceeded, terminating
% 0.44/23.44  eprover: CPU time limit exceeded, terminating
% 0.45/27.64  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.45/27.64  
% 0.45/27.64  # Failure: Resource limit exceeded (time)
% 0.45/27.64  # OLD status Res
% 0.45/27.64  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.45/27.64  # Preprocessing time       : 0.025 s
% 0.45/27.64  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.45/27.64  # Preprocessing time       : 0.026 s
% 0.45/27.64  
% 0.45/27.64  # Proof found!
% 0.45/27.64  # SZS status Theorem
% 0.45/27.64  # SZS output start CNFRefutation
% See solution above
% 0.45/27.64  # Proof object total steps             : 330
% 0.45/27.64  # Proof object clause steps            : 291
% 0.45/27.64  # Proof object formula steps           : 39
% 0.45/27.64  # Proof object conjectures             : 276
% 0.45/27.64  # Proof object clause conjectures      : 273
% 0.45/27.64  # Proof object formula conjectures     : 3
% 0.45/27.64  # Proof object initial clauses used    : 36
% 0.45/27.64  # Proof object initial formulas used   : 19
% 0.45/27.64  # Proof object generating inferences   : 251
% 0.45/27.64  # Proof object simplifying inferences  : 68
% 0.45/27.64  # Training examples: 0 positive, 0 negative
% 0.45/27.64  # Parsed axioms                        : 95
% 0.45/27.64  # Removed by relevancy pruning/SinE    : 0
% 0.45/27.64  # Initial clauses                      : 141
% 0.45/27.64  # Removed in clause preprocessing      : 0
% 0.45/27.64  # Initial clauses in saturation        : 141
% 0.45/27.64  # Processed clauses                    : 26873
% 0.45/27.64  # ...of these trivial                  : 3756
% 0.45/27.64  # ...subsumed                          : 6555
% 0.45/27.64  # ...remaining for further processing  : 16562
% 0.45/27.64  # Other redundant clauses eliminated   : 0
% 0.45/27.64  # Clauses deleted for lack of memory   : 0
% 0.45/27.64  # Backward-subsumed                    : 980
% 0.45/27.64  # Backward-rewritten                   : 1566
% 0.45/27.64  # Generated clauses                    : 183695
% 0.45/27.64  # ...of the previous two non-trivial   : 154680
% 0.45/27.64  # Contextual simplify-reflections      : 35
% 0.45/27.64  # Paramodulations                      : 183695
% 0.45/27.64  # Factorizations                       : 0
% 0.45/27.64  # Equation resolutions                 : 0
% 0.45/27.64  # Current number of processed clauses  : 14016
% 0.45/27.64  #    Positive orientable unit clauses  : 9420
% 0.45/27.64  #    Positive unorientable unit clauses: 0
% 0.45/27.64  #    Negative unit clauses             : 4
% 0.45/27.64  #    Non-unit-clauses                  : 4592
% 0.45/27.64  # Current number of unprocessed clauses: 107636
% 0.45/27.64  # ...number of literals in the above   : 317305
% 0.45/27.64  # Current number of archived formulas  : 0
% 0.45/27.64  # Current number of archived clauses   : 2546
% 0.45/27.64  # Clause-clause subsumption calls (NU) : 2068431
% 0.45/27.64  # Rec. Clause-clause subsumption calls : 1827185
% 0.45/27.64  # Non-unit clause-clause subsumptions  : 6696
% 0.45/27.64  # Unit Clause-clause subsumption calls : 5338642
% 0.45/27.64  # Rewrite failures with RHS unbound    : 0
% 0.45/27.64  # BW rewrite match attempts            : 155839
% 0.45/27.64  # BW rewrite match successes           : 614
% 0.45/27.64  # Condensation attempts                : 0
% 0.45/27.64  # Condensation successes               : 0
% 0.45/27.64  # Termbank termtop insertions          : 2372772
% 0.45/27.64  
% 0.45/27.64  # -------------------------------------------------
% 0.45/27.64  # User time                : 3.490 s
% 0.45/27.64  # System time              : 0.062 s
% 0.45/27.64  # Total time               : 3.552 s
% 0.45/27.64  # Maximum resident set size: 113288 pages
%------------------------------------------------------------------------------