TSTP Solution File: GEO580+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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 04:06:28 EDT 2022

% Result   : Theorem 0.24s 2.43s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  322 ( 170 unt;   0 def)
%            Number of atoms       :  563 (   0 equ)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives :  403 ( 162   ~; 157   |;  47   &)
%                                         (   0 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-5 aty)
%            Number of variables   :  722 (  44 sgn 378   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416042,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14] :
      ( ( eqangle(X4,X1,X1,X2,X4,X1,X1,X3)
        & eqangle(X4,X2,X2,X3,X4,X2,X2,X1)
        & eqangle(X4,X3,X3,X1,X4,X3,X3,X2)
        & perp(X5,X1,X2,X3)
        & coll(X5,X2,X3)
        & perp(X6,X2,X1,X4)
        & coll(X6,X1,X4)
        & perp(X13,X3,X1,X4)
        & coll(X13,X1,X4)
        & midp(X14,X3,X2) )
     => cyclic(X5,X6,X13,X14) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL416042) ).

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

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(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(ruleD18,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X2,X1,X3,X4,X9,X10,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

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

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

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

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

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(ruleD20,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

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(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(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

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(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

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(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(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

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(ruleD54,axiom,
    ! [X1,X2,X3,X4] :
      ( ( cyclic(X1,X2,X3,X4)
        & para(X1,X2,X3,X4) )
     => eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

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(ruleD6,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & para(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(ruleX15,axiom,
    ! [X1,X2,X3,X5,X6] :
    ? [X9] :
      ( ( perp(X1,X3,X3,X2)
        & coll(X2,X5,X6) )
     => ( coll(X9,X5,X6)
        & perp(X9,X1,X5,X6) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(c_0_36,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14] :
        ( ( eqangle(X4,X1,X1,X2,X4,X1,X1,X3)
          & eqangle(X4,X2,X2,X3,X4,X2,X2,X1)
          & eqangle(X4,X3,X3,X1,X4,X3,X3,X2)
          & perp(X5,X1,X2,X3)
          & coll(X5,X2,X3)
          & perp(X6,X2,X1,X4)
          & coll(X6,X1,X4)
          & perp(X13,X3,X1,X4)
          & coll(X13,X1,X4)
          & midp(X14,X3,X2) )
       => cyclic(X5,X6,X13,X14) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416042]) ).

fof(c_0_37,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])])])]) ).

fof(c_0_38,negated_conjecture,
    ( eqangle(esk4_0,esk1_0,esk1_0,esk2_0,esk4_0,esk1_0,esk1_0,esk3_0)
    & eqangle(esk4_0,esk2_0,esk2_0,esk3_0,esk4_0,esk2_0,esk2_0,esk1_0)
    & eqangle(esk4_0,esk3_0,esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0)
    & perp(esk5_0,esk1_0,esk2_0,esk3_0)
    & coll(esk5_0,esk2_0,esk3_0)
    & perp(esk6_0,esk2_0,esk1_0,esk4_0)
    & coll(esk6_0,esk1_0,esk4_0)
    & perp(esk7_0,esk3_0,esk1_0,esk4_0)
    & coll(esk7_0,esk1_0,esk4_0)
    & midp(esk8_0,esk3_0,esk2_0)
    & ~ cyclic(esk5_0,esk6_0,esk7_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).

fof(c_0_39,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_40,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

cnf(c_0_41,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    midp(esk8_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_44,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_45,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_46,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X14,X13,X15,X16,X17,X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).

fof(c_0_47,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_48,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_49,negated_conjecture,
    ( para(X1,esk3_0,X2,esk2_0)
    | ~ midp(esk8_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    midp(esk8_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_42]) ).

fof(c_0_51,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_52,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk8_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_45,c_0_42]) ).

fof(c_0_54,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

fof(c_0_55,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_56,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X2,X1,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_57,negated_conjecture,
    eqangle(esk4_0,esk3_0,esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_58,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
      | para(X11,X12,X13,X14) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).

cnf(c_0_59,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_60,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_61,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_62,negated_conjecture,
    para(esk2_0,esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_63,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_64,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_65,negated_conjecture,
    ( coll(X1,esk2_0,esk8_0)
    | ~ coll(esk8_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

fof(c_0_66,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_67,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_68,negated_conjecture,
    coll(esk7_0,esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_69,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ para(X17,X18,X19,X20)
      | para(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])])]) ).

cnf(c_0_70,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_71,negated_conjecture,
    eqangle(esk3_0,esk4_0,esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_72,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_73,negated_conjecture,
    eqangle(esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_59,c_0_57]) ).

cnf(c_0_74,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_60]) ).

cnf(c_0_75,negated_conjecture,
    para(esk2_0,esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_76,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_77,negated_conjecture,
    cong(esk8_0,esk3_0,esk8_0,esk2_0),
    inference(spm,[status(thm)],[c_0_64,c_0_42]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk2_0,esk2_0,esk8_0),
    inference(spm,[status(thm)],[c_0_65,c_0_53]) ).

fof(c_0_79,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ midp(X11,X7,X9)
      | para(X10,X11,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

fof(c_0_80,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_81,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_82,negated_conjecture,
    coll(esk7_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_83,negated_conjecture,
    ( coll(X1,esk4_0,esk7_0)
    | ~ coll(esk7_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_68]) ).

cnf(c_0_84,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_85,negated_conjecture,
    eqangle(esk3_0,esk4_0,esk4_0,esk3_0,esk3_0,esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_86,negated_conjecture,
    para(esk3_0,esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

fof(c_0_87,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

fof(c_0_88,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_89,negated_conjecture,
    ( midp(X1,esk3_0,esk3_0)
    | ~ midp(X1,esk2_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_75])]) ).

fof(c_0_90,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_91,negated_conjecture,
    ( cong(X1,X2,esk8_0,esk2_0)
    | ~ cong(X1,X2,esk8_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_92,negated_conjecture,
    cong(esk8_0,esk2_0,esk8_0,esk3_0),
    inference(spm,[status(thm)],[c_0_64,c_0_50]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk2_0,esk8_0,esk2_0),
    inference(spm,[status(thm)],[c_0_67,c_0_78]) ).

cnf(c_0_94,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

fof(c_0_95,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_96,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_97,negated_conjecture,
    coll(esk4_0,esk7_0,esk1_0),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_98,negated_conjecture,
    coll(esk4_0,esk4_0,esk7_0),
    inference(spm,[status(thm)],[c_0_83,c_0_68]) ).

fof(c_0_99,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_100,negated_conjecture,
    para(esk3_0,esk4_0,esk4_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).

cnf(c_0_101,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_102,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_103,negated_conjecture,
    ( para(esk3_0,esk3_0,esk3_0,esk2_0)
    | ~ midp(esk8_0,esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_89]) ).

cnf(c_0_104,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_105,negated_conjecture,
    cong(esk8_0,esk2_0,esk8_0,esk2_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_106,negated_conjecture,
    coll(esk8_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_93]) ).

cnf(c_0_107,negated_conjecture,
    ( para(X1,esk8_0,X2,esk2_0)
    | ~ midp(X1,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_94,c_0_42]) ).

cnf(c_0_108,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_109,negated_conjecture,
    cong(esk8_0,esk3_0,esk2_0,esk8_0),
    inference(spm,[status(thm)],[c_0_96,c_0_77]) ).

cnf(c_0_110,negated_conjecture,
    ( coll(X1,esk1_0,esk4_0)
    | ~ coll(esk4_0,esk7_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_97]) ).

cnf(c_0_111,negated_conjecture,
    coll(esk4_0,esk7_0,esk4_0),
    inference(spm,[status(thm)],[c_0_67,c_0_98]) ).

cnf(c_0_112,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_113,negated_conjecture,
    para(esk3_0,esk4_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_61,c_0_100]) ).

cnf(c_0_114,negated_conjecture,
    eqangle(esk4_0,esk3_0,esk3_0,esk2_0,esk4_0,esk3_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_101,c_0_57]) ).

cnf(c_0_115,negated_conjecture,
    para(esk3_0,esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_102,c_0_62]) ).

cnf(c_0_116,negated_conjecture,
    para(esk3_0,esk3_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106])]) ).

fof(c_0_117,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

cnf(c_0_118,negated_conjecture,
    para(esk8_0,esk8_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_107,c_0_42]) ).

fof(c_0_119,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_120,negated_conjecture,
    cong(esk2_0,esk8_0,esk8_0,esk3_0),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_122,negated_conjecture,
    coll(esk3_0,esk4_0,esk4_0),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_123,negated_conjecture,
    eqangle(esk3_0,esk2_0,esk4_0,esk3_0,esk3_0,esk1_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_59,c_0_114]) ).

cnf(c_0_124,negated_conjecture,
    para(esk3_0,esk2_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_61,c_0_115]) ).

cnf(c_0_125,negated_conjecture,
    para(esk3_0,esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_61,c_0_116]) ).

fof(c_0_126,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( ~ eqangle(X15,X16,X17,X18,X19,X20,X21,X22)
      | ~ eqangle(X19,X20,X21,X22,X23,X24,X25,X26)
      | eqangle(X15,X16,X17,X18,X23,X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_127,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_128,negated_conjecture,
    para(esk2_0,esk2_0,esk8_0,esk8_0),
    inference(spm,[status(thm)],[c_0_102,c_0_118]) ).

cnf(c_0_129,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_130,negated_conjecture,
    cong(esk2_0,esk8_0,esk3_0,esk8_0),
    inference(spm,[status(thm)],[c_0_96,c_0_120]) ).

cnf(c_0_131,negated_conjecture,
    cong(esk8_0,esk2_0,esk3_0,esk8_0),
    inference(spm,[status(thm)],[c_0_96,c_0_92]) ).

cnf(c_0_132,negated_conjecture,
    coll(esk4_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_67,c_0_121]) ).

cnf(c_0_133,negated_conjecture,
    coll(esk4_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_81,c_0_122]) ).

cnf(c_0_134,negated_conjecture,
    para(esk3_0,esk2_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_72,c_0_123]) ).

cnf(c_0_135,negated_conjecture,
    ( midp(X1,esk2_0,esk2_0)
    | ~ midp(X1,esk3_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_124]),c_0_124])]) ).

cnf(c_0_136,negated_conjecture,
    ( midp(X1,esk3_0,esk3_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_125]),c_0_125])]) ).

cnf(c_0_137,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_138,negated_conjecture,
    eqangle(esk4_0,esk3_0,esk4_0,esk3_0,esk3_0,esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_70,c_0_57]) ).

cnf(c_0_139,negated_conjecture,
    eqangle(esk2_0,esk2_0,X1,X2,esk8_0,esk8_0,X1,X2),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

fof(c_0_140,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])]) ).

cnf(c_0_141,negated_conjecture,
    ( perp(esk2_0,esk3_0,X1,esk8_0)
    | ~ cong(esk2_0,X1,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_142,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk8_0)
    | ~ cong(X1,X2,esk8_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_131]) ).

cnf(c_0_143,negated_conjecture,
    cong(esk2_0,esk8_0,esk8_0,esk2_0),
    inference(spm,[status(thm)],[c_0_91,c_0_120]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_112,c_0_86]) ).

cnf(c_0_145,negated_conjecture,
    ( coll(X1,esk1_0,esk4_0)
    | ~ coll(esk4_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_132]) ).

cnf(c_0_146,negated_conjecture,
    coll(esk4_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_67,c_0_133]) ).

cnf(c_0_147,negated_conjecture,
    ( midp(X1,esk1_0,esk2_0)
    | ~ midp(X1,esk3_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_134]),c_0_86])]) ).

cnf(c_0_148,negated_conjecture,
    ( midp(X1,esk2_0,esk2_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_149,negated_conjecture,
    eqangle(esk4_0,esk2_0,esk2_0,esk3_0,esk4_0,esk2_0,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_150,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk3_0,esk1_0,esk3_0,esk2_0)
    | ~ eqangle(X1,X2,X3,X4,esk4_0,esk3_0,esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_151,negated_conjecture,
    eqangle(esk2_0,esk2_0,esk8_0,esk8_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_70,c_0_139]) ).

fof(c_0_152,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_153,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_154,negated_conjecture,
    perp(esk2_0,esk3_0,esk8_0,esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]) ).

cnf(c_0_155,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_144]) ).

cnf(c_0_156,negated_conjecture,
    coll(esk3_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_157,negated_conjecture,
    ( para(esk1_0,esk3_0,esk2_0,esk2_0)
    | ~ midp(esk8_0,esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_147]) ).

cnf(c_0_158,negated_conjecture,
    midp(esk8_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_148,c_0_42]) ).

cnf(c_0_159,negated_conjecture,
    eqangle(esk4_0,esk2_0,esk2_0,esk1_0,esk4_0,esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_101,c_0_149]) ).

cnf(c_0_160,negated_conjecture,
    coll(esk5_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_161,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ perp(X17,X18,X19,X20)
      | perp(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).

cnf(c_0_162,negated_conjecture,
    eqangle(esk2_0,esk2_0,esk8_0,esk8_0,esk3_0,esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_163,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_164,negated_conjecture,
    perp(esk8_0,esk8_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_165,negated_conjecture,
    coll(esk4_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_166,negated_conjecture,
    para(esk1_0,esk3_0,esk2_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_89]),c_0_158])]) ).

cnf(c_0_167,negated_conjecture,
    eqangle(esk2_0,esk1_0,esk4_0,esk2_0,esk2_0,esk3_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_59,c_0_159]) ).

cnf(c_0_168,negated_conjecture,
    coll(esk5_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_67,c_0_160]) ).

cnf(c_0_169,negated_conjecture,
    ( coll(X1,esk3_0,esk5_0)
    | ~ coll(esk5_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_160]) ).

cnf(c_0_170,negated_conjecture,
    para(esk3_0,esk3_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_49,c_0_42]) ).

fof(c_0_171,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_172,negated_conjecture,
    para(esk3_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_61,c_0_86]) ).

cnf(c_0_173,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_174,negated_conjecture,
    eqangle(esk2_0,esk2_0,esk3_0,esk1_0,esk8_0,esk8_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_70,c_0_162]) ).

cnf(c_0_175,negated_conjecture,
    perp(esk8_0,esk8_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_176,negated_conjecture,
    coll(esk3_0,esk8_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_53]) ).

cnf(c_0_177,negated_conjecture,
    coll(esk4_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_67,c_0_165]) ).

cnf(c_0_178,negated_conjecture,
    para(esk2_0,esk2_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_102,c_0_166]) ).

cnf(c_0_179,negated_conjecture,
    para(esk2_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_72,c_0_167]) ).

cnf(c_0_180,negated_conjecture,
    coll(esk3_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_168]) ).

cnf(c_0_181,negated_conjecture,
    coll(esk3_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_169,c_0_160]) ).

cnf(c_0_182,negated_conjecture,
    eqangle(esk4_0,esk2_0,esk4_0,esk2_0,esk2_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_70,c_0_159]) ).

cnf(c_0_183,negated_conjecture,
    eqangle(esk3_0,esk3_0,X1,X2,esk2_0,esk2_0,X1,X2),
    inference(spm,[status(thm)],[c_0_127,c_0_170]) ).

cnf(c_0_184,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_185,negated_conjecture,
    para(esk2_0,esk3_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_102,c_0_172]) ).

cnf(c_0_186,negated_conjecture,
    perp(esk2_0,esk2_0,esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175])]) ).

cnf(c_0_187,negated_conjecture,
    coll(esk3_0,esk2_0,esk8_0),
    inference(spm,[status(thm)],[c_0_67,c_0_176]) ).

cnf(c_0_188,negated_conjecture,
    coll(esk3_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_177]) ).

cnf(c_0_189,negated_conjecture,
    para(esk2_0,esk2_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_61,c_0_178]) ).

cnf(c_0_190,negated_conjecture,
    para(esk2_0,esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_61,c_0_179]) ).

cnf(c_0_191,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_180]) ).

cnf(c_0_192,negated_conjecture,
    coll(esk3_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_67,c_0_181]) ).

cnf(c_0_193,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk2_0,esk1_0,esk2_0,esk3_0)
    | ~ eqangle(X1,X2,X3,X4,esk4_0,esk2_0,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_182]) ).

cnf(c_0_194,negated_conjecture,
    eqangle(esk3_0,esk3_0,esk2_0,esk2_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_70,c_0_183]) ).

cnf(c_0_195,negated_conjecture,
    ( perp(esk2_0,esk3_0,X1,X2)
    | ~ perp(esk3_0,esk1_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_196,negated_conjecture,
    perp(esk3_0,esk1_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_153,c_0_186]) ).

cnf(c_0_197,negated_conjecture,
    coll(esk3_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_67,c_0_156]) ).

cnf(c_0_198,negated_conjecture,
    ( coll(X1,esk8_0,esk3_0)
    | ~ coll(esk3_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_187]) ).

cnf(c_0_199,negated_conjecture,
    coll(esk3_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_67,c_0_188]) ).

cnf(c_0_200,negated_conjecture,
    para(esk3_0,esk1_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_102,c_0_189]) ).

cnf(c_0_201,negated_conjecture,
    para(esk3_0,esk2_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_102,c_0_190]) ).

fof(c_0_202,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | ~ para(X5,X6,X7,X8)
      | eqangle(X5,X8,X7,X8,X7,X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

fof(c_0_203,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | ~ coll(X13,X14,X12)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_204,negated_conjecture,
    coll(esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_205,negated_conjecture,
    eqangle(esk3_0,esk3_0,esk2_0,esk2_0,esk2_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_206,negated_conjecture,
    perp(esk2_0,esk3_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_207,negated_conjecture,
    coll(esk4_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_81,c_0_197]) ).

cnf(c_0_208,negated_conjecture,
    coll(esk4_0,esk8_0,esk3_0),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_209,negated_conjecture,
    eqangle(esk2_0,esk3_0,X1,X2,esk2_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_127,c_0_75]) ).

cnf(c_0_210,negated_conjecture,
    para(esk2_0,esk3_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_61,c_0_185]) ).

cnf(c_0_211,negated_conjecture,
    ( midp(X1,esk2_0,esk1_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_200]),c_0_201])]) ).

cnf(c_0_212,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ cyclic(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_202]) ).

cnf(c_0_213,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_203]) ).

cnf(c_0_214,negated_conjecture,
    ( coll(X1,esk3_0,esk3_0)
    | ~ coll(esk3_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_204]) ).

cnf(c_0_215,negated_conjecture,
    eqangle(esk2_0,esk3_0,esk4_0,esk2_0,esk2_0,esk1_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_59,c_0_149]) ).

cnf(c_0_216,negated_conjecture,
    eqangle(esk3_0,esk3_0,esk2_0,esk1_0,esk2_0,esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_70,c_0_205]) ).

cnf(c_0_217,negated_conjecture,
    perp(esk2_0,esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_153,c_0_206]) ).

cnf(c_0_218,negated_conjecture,
    coll(esk6_0,esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_219,negated_conjecture,
    ( coll(X1,esk1_0,esk4_0)
    | ~ coll(esk4_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_207]) ).

cnf(c_0_220,negated_conjecture,
    coll(esk4_0,esk3_0,esk8_0),
    inference(spm,[status(thm)],[c_0_67,c_0_208]) ).

cnf(c_0_221,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk3_0,X1,X2,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_59,c_0_209]) ).

cnf(c_0_222,negated_conjecture,
    para(esk1_0,esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_102,c_0_210]) ).

cnf(c_0_223,negated_conjecture,
    midp(esk8_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_211,c_0_42]) ).

cnf(c_0_224,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ coll(X3,X2,X4) ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_225,negated_conjecture,
    para(esk2_0,esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_102,c_0_125]) ).

cnf(c_0_226,negated_conjecture,
    eqangle(esk3_0,esk2_0,X1,X2,esk3_0,esk2_0,X1,X2),
    inference(spm,[status(thm)],[c_0_127,c_0_124]) ).

cnf(c_0_227,negated_conjecture,
    coll(esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_214,c_0_204]) ).

cnf(c_0_228,negated_conjecture,
    para(esk2_0,esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_72,c_0_215]) ).

cnf(c_0_229,negated_conjecture,
    perp(esk3_0,esk3_0,esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_216]),c_0_217])]) ).

cnf(c_0_230,negated_conjecture,
    coll(esk1_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_81,c_0_218]) ).

cnf(c_0_231,negated_conjecture,
    coll(esk8_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_232,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_72,c_0_221]) ).

cnf(c_0_233,negated_conjecture,
    ( midp(X1,esk3_0,esk3_0)
    | ~ midp(X1,esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_222]),c_0_222])]) ).

cnf(c_0_234,negated_conjecture,
    midp(esk8_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_43,c_0_223]) ).

cnf(c_0_235,negated_conjecture,
    eqangle(esk2_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_227])]) ).

cnf(c_0_236,negated_conjecture,
    ( perp(esk2_0,esk3_0,X1,X2)
    | ~ perp(esk2_0,esk1_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_228]) ).

cnf(c_0_237,negated_conjecture,
    perp(esk2_0,esk1_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_153,c_0_229]) ).

cnf(c_0_238,negated_conjecture,
    coll(esk1_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_67,c_0_230]) ).

cnf(c_0_239,negated_conjecture,
    coll(esk8_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_67,c_0_231]) ).

cnf(c_0_240,negated_conjecture,
    ( para(X1,esk8_0,X2,esk3_0)
    | ~ midp(X1,esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_94,c_0_50]) ).

cnf(c_0_241,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_232]),c_0_232])]) ).

cnf(c_0_242,negated_conjecture,
    midp(esk8_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_233,c_0_234]) ).

cnf(c_0_243,negated_conjecture,
    eqangle(esk3_0,esk2_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_56,c_0_235]) ).

cnf(c_0_244,negated_conjecture,
    perp(esk2_0,esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_245,negated_conjecture,
    coll(esk4_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_81,c_0_238]) ).

cnf(c_0_246,negated_conjecture,
    coll(esk4_0,esk8_0,esk1_0),
    inference(spm,[status(thm)],[c_0_81,c_0_239]) ).

cnf(c_0_247,negated_conjecture,
    para(esk8_0,esk8_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_240,c_0_158]) ).

cnf(c_0_248,negated_conjecture,
    midp(esk8_0,X1,X1),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_249,negated_conjecture,
    eqangle(esk3_0,esk1_0,X1,X2,esk2_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_127,c_0_172]) ).

cnf(c_0_250,negated_conjecture,
    eqangle(esk3_0,esk3_0,esk3_0,esk2_0,esk3_0,esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_59,c_0_243]) ).

cnf(c_0_251,negated_conjecture,
    perp(esk3_0,esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_153,c_0_244]) ).

cnf(c_0_252,negated_conjecture,
    ( coll(X1,esk6_0,esk4_0)
    | ~ coll(esk4_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_245]) ).

cnf(c_0_253,negated_conjecture,
    coll(esk4_0,esk1_0,esk8_0),
    inference(spm,[status(thm)],[c_0_67,c_0_246]) ).

cnf(c_0_254,negated_conjecture,
    perp(esk5_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_255,negated_conjecture,
    para(esk2_0,esk3_0,esk8_0,esk8_0),
    inference(spm,[status(thm)],[c_0_102,c_0_247]) ).

cnf(c_0_256,negated_conjecture,
    cong(esk8_0,X1,esk8_0,X1),
    inference(spm,[status(thm)],[c_0_64,c_0_248]) ).

cnf(c_0_257,negated_conjecture,
    eqangle(esk3_0,esk1_0,esk2_0,esk3_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_70,c_0_249]) ).

cnf(c_0_258,negated_conjecture,
    eqangle(esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_101,c_0_250]) ).

cnf(c_0_259,negated_conjecture,
    perp(esk3_0,esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_163,c_0_251]) ).

cnf(c_0_260,negated_conjecture,
    coll(esk1_0,esk7_0,esk4_0),
    inference(spm,[status(thm)],[c_0_81,c_0_68]) ).

cnf(c_0_261,negated_conjecture,
    coll(esk8_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

fof(c_0_262,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_263,negated_conjecture,
    perp(esk2_0,esk3_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_153,c_0_254]) ).

cnf(c_0_264,negated_conjecture,
    ( perp(esk2_0,esk3_0,X1,X2)
    | ~ perp(esk8_0,esk8_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_255]) ).

cnf(c_0_265,negated_conjecture,
    perp(esk8_0,esk8_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_256]),c_0_256])]) ).

cnf(c_0_266,negated_conjecture,
    ( perp(esk3_0,esk1_0,esk2_0,esk3_0)
    | ~ perp(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_173,c_0_257]) ).

cnf(c_0_267,negated_conjecture,
    perp(esk3_0,esk3_0,esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_258]),c_0_259])]) ).

cnf(c_0_268,negated_conjecture,
    coll(esk1_0,esk4_0,esk7_0),
    inference(spm,[status(thm)],[c_0_67,c_0_260]) ).

cnf(c_0_269,negated_conjecture,
    coll(esk6_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_67,c_0_218]) ).

cnf(c_0_270,negated_conjecture,
    coll(esk6_0,esk8_0,esk4_0),
    inference(spm,[status(thm)],[c_0_81,c_0_261]) ).

cnf(c_0_271,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_112,c_0_232]) ).

fof(c_0_272,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ para(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

cnf(c_0_273,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_262]) ).

cnf(c_0_274,negated_conjecture,
    perp(esk2_0,esk3_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_163,c_0_263]) ).

cnf(c_0_275,negated_conjecture,
    perp(esk2_0,esk3_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_265])]) ).

cnf(c_0_276,negated_conjecture,
    eqangle(X1,X2,X1,X2,esk3_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_101,c_0_257]) ).

cnf(c_0_277,negated_conjecture,
    perp(esk3_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_266,c_0_267]) ).

cnf(c_0_278,negated_conjecture,
    coll(esk4_0,esk1_0,esk7_0),
    inference(spm,[status(thm)],[c_0_81,c_0_268]) ).

cnf(c_0_279,negated_conjecture,
    ( coll(X1,esk1_0,esk6_0)
    | ~ coll(esk6_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_269]) ).

cnf(c_0_280,negated_conjecture,
    coll(esk6_0,esk4_0,esk8_0),
    inference(spm,[status(thm)],[c_0_67,c_0_270]) ).

fof(c_0_281,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ( coll(esk20_5(X10,X11,X12,X13,X14),X13,X14)
        | ~ perp(X10,X12,X12,X11)
        | ~ coll(X11,X13,X14) )
      & ( perp(esk20_5(X10,X11,X12,X13,X14),X10,X13,X14)
        | ~ perp(X10,X12,X12,X11)
        | ~ coll(X11,X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX15])])])])]) ).

cnf(c_0_282,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_81,c_0_271]) ).

cnf(c_0_283,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_272]) ).

cnf(c_0_284,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk5_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_273,c_0_254]) ).

cnf(c_0_285,negated_conjecture,
    ( para(X1,X2,esk1_0,esk5_0)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_286,negated_conjecture,
    perp(X1,X2,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_153,c_0_275]) ).

cnf(c_0_287,negated_conjecture,
    perp(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_276]),c_0_277])]) ).

cnf(c_0_288,negated_conjecture,
    coll(esk7_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_252,c_0_278]) ).

cnf(c_0_289,negated_conjecture,
    coll(esk8_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_290,plain,
    ( perp(esk20_5(X4,X1,X5,X2,X3),X4,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_281]) ).

cnf(c_0_291,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_67,c_0_282]) ).

cnf(c_0_292,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X3,X4,esk5_0,esk1_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_293,negated_conjecture,
    para(X1,X2,esk1_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_286])]) ).

cnf(c_0_294,negated_conjecture,
    perp(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_163,c_0_287]) ).

cnf(c_0_295,negated_conjecture,
    ( coll(X1,esk1_0,esk7_0)
    | ~ coll(esk7_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_82]) ).

cnf(c_0_296,negated_conjecture,
    coll(esk7_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_67,c_0_288]) ).

cnf(c_0_297,negated_conjecture,
    coll(esk8_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_67,c_0_289]) ).

cnf(c_0_298,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk20_5(X5,X6,X7,X3,X4),X5)
    | ~ perp(X5,X7,X7,X6)
    | ~ coll(X6,X3,X4) ),
    inference(spm,[status(thm)],[c_0_273,c_0_290]) ).

cnf(c_0_299,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_291]),c_0_291])]) ).

cnf(c_0_300,negated_conjecture,
    para(X1,X2,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294])]) ).

cnf(c_0_301,negated_conjecture,
    coll(esk6_0,esk1_0,esk7_0),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_302,negated_conjecture,
    coll(esk6_0,esk8_0,esk1_0),
    inference(spm,[status(thm)],[c_0_81,c_0_297]) ).

cnf(c_0_303,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk20_5(X5,X6,X7,X3,X4),X5)
    | ~ perp(X5,X7,X7,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_299])]) ).

cnf(c_0_304,negated_conjecture,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_300]),c_0_275])]) ).

fof(c_0_305,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_306,negated_conjecture,
    ( coll(X1,esk7_0,esk6_0)
    | ~ coll(esk6_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_301]) ).

cnf(c_0_307,negated_conjecture,
    coll(esk6_0,esk1_0,esk8_0),
    inference(spm,[status(thm)],[c_0_67,c_0_302]) ).

cnf(c_0_308,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_304]),c_0_304])]) ).

cnf(c_0_309,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_305]) ).

cnf(c_0_310,negated_conjecture,
    coll(esk8_0,esk7_0,esk6_0),
    inference(spm,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_311,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_308])]) ).

cnf(c_0_312,negated_conjecture,
    ~ cyclic(esk5_0,esk6_0,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_313,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X2,X1,X2,X3,X4,X1,X4,X3)
    | ~ coll(X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_309,c_0_213]) ).

cnf(c_0_314,negated_conjecture,
    coll(esk8_0,esk6_0,esk7_0),
    inference(spm,[status(thm)],[c_0_67,c_0_310]) ).

cnf(c_0_315,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_70,c_0_311]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ eqangle(esk6_0,esk5_0,esk6_0,esk7_0,esk8_0,esk5_0,esk8_0,esk7_0)
    | ~ coll(esk6_0,esk8_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_317,negated_conjecture,
    coll(esk6_0,esk8_0,esk7_0),
    inference(spm,[status(thm)],[c_0_81,c_0_314]) ).

cnf(c_0_318,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_101,c_0_315]) ).

cnf(c_0_319,negated_conjecture,
    ~ eqangle(esk6_0,esk5_0,esk6_0,esk7_0,esk8_0,esk5_0,esk8_0,esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_317])]) ).

cnf(c_0_320,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_318]),c_0_315])]) ).

cnf(c_0_321,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_320])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 19:12:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/2.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/2.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/2.43  # Preprocessing time       : 0.023 s
% 0.24/2.43  
% 0.24/2.43  # Proof found!
% 0.24/2.43  # SZS status Theorem
% 0.24/2.43  # SZS output start CNFRefutation
% See solution above
% 0.24/2.43  # Proof object total steps             : 322
% 0.24/2.43  # Proof object clause steps            : 249
% 0.24/2.43  # Proof object formula steps           : 73
% 0.24/2.43  # Proof object conjectures             : 208
% 0.24/2.43  # Proof object clause conjectures      : 205
% 0.24/2.43  # Proof object formula conjectures     : 3
% 0.24/2.43  # Proof object initial clauses used    : 43
% 0.24/2.43  # Proof object initial formulas used   : 36
% 0.24/2.43  # Proof object generating inferences   : 199
% 0.24/2.43  # Proof object simplifying inferences  : 59
% 0.24/2.43  # Training examples: 0 positive, 0 negative
% 0.24/2.43  # Parsed axioms                        : 95
% 0.24/2.43  # Removed by relevancy pruning/SinE    : 31
% 0.24/2.43  # Initial clauses                      : 90
% 0.24/2.43  # Removed in clause preprocessing      : 0
% 0.24/2.43  # Initial clauses in saturation        : 90
% 0.24/2.43  # Processed clauses                    : 10072
% 0.24/2.43  # ...of these trivial                  : 2335
% 0.24/2.43  # ...subsumed                          : 1245
% 0.24/2.43  # ...remaining for further processing  : 6492
% 0.24/2.43  # Other redundant clauses eliminated   : 0
% 0.24/2.43  # Clauses deleted for lack of memory   : 0
% 0.24/2.43  # Backward-subsumed                    : 198
% 0.24/2.43  # Backward-rewritten                   : 5908
% 0.24/2.43  # Generated clauses                    : 94361
% 0.24/2.43  # ...of the previous two non-trivial   : 69662
% 0.24/2.43  # Contextual simplify-reflections      : 37
% 0.24/2.43  # Paramodulations                      : 94361
% 0.24/2.43  # Factorizations                       : 0
% 0.24/2.43  # Equation resolutions                 : 0
% 0.24/2.43  # Current number of processed clauses  : 386
% 0.24/2.43  #    Positive orientable unit clauses  : 163
% 0.24/2.43  #    Positive unorientable unit clauses: 0
% 0.24/2.43  #    Negative unit clauses             : 1
% 0.24/2.43  #    Non-unit-clauses                  : 222
% 0.24/2.43  # Current number of unprocessed clauses: 1560
% 0.24/2.43  # ...number of literals in the above   : 3775
% 0.24/2.43  # Current number of archived formulas  : 0
% 0.24/2.43  # Current number of archived clauses   : 6106
% 0.24/2.43  # Clause-clause subsumption calls (NU) : 266866
% 0.24/2.43  # Rec. Clause-clause subsumption calls : 215197
% 0.24/2.43  # Non-unit clause-clause subsumptions  : 1342
% 0.24/2.43  # Unit Clause-clause subsumption calls : 61811
% 0.24/2.43  # Rewrite failures with RHS unbound    : 0
% 0.24/2.43  # BW rewrite match attempts            : 330777
% 0.24/2.43  # BW rewrite match successes           : 4629
% 0.24/2.43  # Condensation attempts                : 0
% 0.24/2.43  # Condensation successes               : 0
% 0.24/2.43  # Termbank termtop insertions          : 1269882
% 0.24/2.43  
% 0.24/2.43  # -------------------------------------------------
% 0.24/2.43  # User time                : 1.842 s
% 0.24/2.43  # System time              : 0.022 s
% 0.24/2.43  # Total time               : 1.864 s
% 0.24/2.43  # Maximum resident set size: 44780 pages
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------