TSTP Solution File: GEO581+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO581+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.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 0.14s 1.32s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  207 (  89 unt;   0 def)
%            Number of atoms       :  381 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  296 ( 122   ~; 119   |;  26   &)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  578 (  30 sgn 306   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416043,conjecture,
    ! [X1,X2,X3,X6,X5,X9] :
      ( ( perp(X3,X1,X3,X2)
        & eqangle(X2,X1,X1,X5,X1,X5,X5,X6)
        & cong(X1,X5,X5,X6)
        & coll(X9,X2,X5)
        & coll(X9,X1,X6) )
     => eqangle(X1,X3,X3,X9,X9,X3,X3,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL416043) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(ruleD55,axiom,
    ! [X1,X2,X7,X8] :
      ( ( midp(X7,X1,X2)
        & perp(X8,X7,X1,X2) )
     => cong(X8,X1,X8,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(c_0_28,negated_conjecture,
    ~ ! [X1,X2,X3,X6,X5,X9] :
        ( ( perp(X3,X1,X3,X2)
          & eqangle(X2,X1,X1,X5,X1,X5,X5,X6)
          & cong(X1,X5,X5,X6)
          & coll(X9,X2,X5)
          & coll(X9,X1,X6) )
       => eqangle(X1,X3,X3,X9,X9,X3,X3,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416043]) ).

fof(c_0_29,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

fof(c_0_30,negated_conjecture,
    ( perp(esk3_0,esk1_0,esk3_0,esk2_0)
    & eqangle(esk2_0,esk1_0,esk1_0,esk5_0,esk1_0,esk5_0,esk5_0,esk4_0)
    & cong(esk1_0,esk5_0,esk5_0,esk4_0)
    & coll(esk6_0,esk2_0,esk5_0)
    & coll(esk6_0,esk1_0,esk4_0)
    & ~ eqangle(esk1_0,esk3_0,esk3_0,esk6_0,esk6_0,esk3_0,esk3_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).

fof(c_0_31,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_32,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    coll(esk6_0,esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    coll(esk1_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_36,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_37,negated_conjecture,
    coll(esk1_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    coll(esk4_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_32,c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    ( coll(X1,esk6_0,esk4_0)
    | ~ coll(esk4_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_41,negated_conjecture,
    coll(esk6_0,esk2_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_42,negated_conjecture,
    coll(esk6_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_34,c_0_33]) ).

cnf(c_0_43,negated_conjecture,
    coll(esk6_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_40,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk2_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_32,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    ( coll(X1,esk1_0,esk6_0)
    | ~ coll(esk6_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    coll(esk6_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_34,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk2_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_34,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    coll(esk6_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk5_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_32,c_0_47]) ).

cnf(c_0_50,negated_conjecture,
    coll(esk6_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_34,c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ( coll(X1,esk6_0,esk5_0)
    | ~ coll(esk5_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ( coll(X1,esk1_0,esk6_0)
    | ~ coll(esk6_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk6_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_51,c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    coll(esk5_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk5_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_34,c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk6_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_32,c_0_55]) ).

cnf(c_0_57,negated_conjecture,
    ( coll(X1,esk4_0,esk6_0)
    | ~ coll(esk6_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_33]) ).

cnf(c_0_58,negated_conjecture,
    coll(esk6_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_34,c_0_56]) ).

fof(c_0_59,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])]) ).

cnf(c_0_60,negated_conjecture,
    coll(esk5_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

fof(c_0_61,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])]) ).

cnf(c_0_62,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_59]) ).

cnf(c_0_63,negated_conjecture,
    eqangle(esk2_0,esk1_0,esk1_0,esk5_0,esk1_0,esk5_0,esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_64,negated_conjecture,
    coll(esk4_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_32,c_0_42]) ).

cnf(c_0_65,negated_conjecture,
    coll(esk4_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_32,c_0_60]) ).

fof(c_0_66,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_67,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_61]) ).

fof(c_0_68,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])]) ).

cnf(c_0_69,negated_conjecture,
    eqangle(esk1_0,esk5_0,esk5_0,esk4_0,esk2_0,esk1_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    ( coll(X1,esk1_0,esk4_0)
    | ~ coll(esk4_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_64]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk4_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_34,c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk6_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_34,c_0_41]) ).

cnf(c_0_73,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_66]) ).

cnf(c_0_74,negated_conjecture,
    eqangle(esk1_0,esk5_0,esk2_0,esk1_0,esk5_0,esk4_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_67,c_0_63]) ).

cnf(c_0_75,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_68]) ).

cnf(c_0_76,negated_conjecture,
    eqangle(esk5_0,esk4_0,esk1_0,esk5_0,esk1_0,esk5_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_67,c_0_69]) ).

fof(c_0_77,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])]) ).

fof(c_0_78,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_79,negated_conjecture,
    coll(esk4_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_57,c_0_33]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk5_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

fof(c_0_81,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_82,negated_conjecture,
    coll(esk5_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_32,c_0_72]) ).

fof(c_0_83,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_84,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk5_0,esk4_0,esk1_0,esk5_0)
    | ~ eqangle(X1,X2,X3,X4,esk1_0,esk5_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_85,negated_conjecture,
    eqangle(esk4_0,esk5_0,esk1_0,esk5_0,esk1_0,esk5_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_86,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_87,negated_conjecture,
    cong(esk1_0,esk5_0,esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_88,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk4_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_34,c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    coll(esk5_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_34,c_0_80]) ).

cnf(c_0_91,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_92,negated_conjecture,
    ( coll(X1,esk5_0,esk6_0)
    | ~ coll(esk6_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_41]) ).

cnf(c_0_93,negated_conjecture,
    ( coll(X1,esk2_0,esk5_0)
    | ~ coll(esk5_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_82]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk5_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_34,c_0_60]) ).

fof(c_0_95,plain,
    ! [X9,X10,X11] :
      ( ~ cong(X11,X9,X11,X10)
      | eqangle(X11,X9,X9,X10,X9,X10,X11,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

fof(c_0_96,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_97,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_98,negated_conjecture,
    eqangle(esk4_0,esk5_0,esk1_0,esk5_0,esk5_0,esk4_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

fof(c_0_99,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_100,negated_conjecture,
    ( cong(X1,X2,esk5_0,esk4_0)
    | ~ cong(X1,X2,esk1_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_101,negated_conjecture,
    cong(esk5_0,esk4_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_88,c_0_87]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_70,c_0_89]) ).

cnf(c_0_103,negated_conjecture,
    coll(esk4_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_32,c_0_90]) ).

cnf(c_0_104,negated_conjecture,
    cong(esk1_0,esk5_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_91,c_0_87]) ).

cnf(c_0_105,negated_conjecture,
    coll(esk5_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_92,c_0_41]) ).

cnf(c_0_106,negated_conjecture,
    coll(esk4_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

fof(c_0_107,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_108,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

fof(c_0_109,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

fof(c_0_110,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_111,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_112,negated_conjecture,
    para(esk4_0,esk5_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_113,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_114,negated_conjecture,
    cong(esk5_0,esk4_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_115,negated_conjecture,
    ( coll(X1,esk4_0,esk4_0)
    | ~ coll(esk4_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_102]) ).

cnf(c_0_116,negated_conjecture,
    coll(esk4_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_34,c_0_103]) ).

cnf(c_0_117,negated_conjecture,
    cong(esk4_0,esk5_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_88,c_0_104]) ).

cnf(c_0_118,negated_conjecture,
    coll(esk5_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_34,c_0_105]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk4_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_34,c_0_106]) ).

cnf(c_0_120,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_121,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_108]) ).

cnf(c_0_122,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_123,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_110]) ).

cnf(c_0_124,negated_conjecture,
    para(esk4_0,esk5_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_125,negated_conjecture,
    ( midp(esk5_0,esk4_0,esk4_0)
    | ~ coll(esk5_0,esk4_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_126,negated_conjecture,
    coll(esk5_0,esk4_0,esk4_0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

fof(c_0_127,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_128,negated_conjecture,
    cong(esk4_0,esk5_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_100,c_0_117]) ).

cnf(c_0_129,negated_conjecture,
    coll(esk5_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_93,c_0_118]) ).

cnf(c_0_130,negated_conjecture,
    coll(esk5_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_32,c_0_119]) ).

cnf(c_0_131,negated_conjecture,
    coll(esk1_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_93,c_0_55]) ).

cnf(c_0_132,negated_conjecture,
    cong(esk5_0,esk4_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_91,c_0_101]) ).

cnf(c_0_133,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_67,c_0_120]) ).

cnf(c_0_134,plain,
    ( para(X1,X1,X1,X2)
    | ~ midp(X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_135,negated_conjecture,
    ( midp(X1,esk5_0,esk5_0)
    | ~ midp(X1,esk4_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).

cnf(c_0_136,negated_conjecture,
    midp(esk5_0,esk4_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]) ).

cnf(c_0_137,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_138,negated_conjecture,
    cong(esk4_0,esk5_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_91,c_0_128]) ).

cnf(c_0_139,negated_conjecture,
    ( coll(X1,esk5_0,esk5_0)
    | ~ coll(esk5_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_129]) ).

cnf(c_0_140,negated_conjecture,
    coll(esk5_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_34,c_0_130]) ).

cnf(c_0_141,negated_conjecture,
    coll(esk1_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_34,c_0_131]) ).

cnf(c_0_142,negated_conjecture,
    cong(esk5_0,esk1_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_88,c_0_132]) ).

cnf(c_0_143,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_97,c_0_133]) ).

cnf(c_0_144,negated_conjecture,
    para(esk5_0,esk5_0,esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).

fof(c_0_145,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_146,negated_conjecture,
    ( perp(esk1_0,esk4_0,X1,esk5_0)
    | ~ cong(esk1_0,X1,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_104]) ).

cnf(c_0_147,negated_conjecture,
    ( midp(esk4_0,esk5_0,esk5_0)
    | ~ coll(esk4_0,esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_138]) ).

cnf(c_0_148,negated_conjecture,
    coll(esk4_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_149,negated_conjecture,
    coll(esk5_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_32,c_0_141]) ).

fof(c_0_150,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])]) ).

fof(c_0_151,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_152,negated_conjecture,
    ( midp(esk5_0,esk1_0,esk4_0)
    | ~ coll(esk5_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_142]) ).

cnf(c_0_153,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_154,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_155,negated_conjecture,
    perp(esk1_0,esk4_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_146,c_0_104]) ).

cnf(c_0_156,negated_conjecture,
    midp(esk4_0,esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).

cnf(c_0_157,negated_conjecture,
    coll(esk5_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_34,c_0_149]) ).

fof(c_0_158,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_159,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_160,negated_conjecture,
    perp(esk3_0,esk1_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_161,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_162,negated_conjecture,
    midp(esk5_0,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_80])]) ).

cnf(c_0_163,plain,
    ( perp(X1,X1,X2,X3)
    | ~ cong(X1,X2,X1,X2)
    | ~ midp(X1,X3,X3) ),
    inference(spm,[status(thm)],[c_0_137,c_0_122]) ).

cnf(c_0_164,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_153]),c_0_153])]) ).

cnf(c_0_165,negated_conjecture,
    cong(esk1_0,esk5_0,esk1_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]) ).

cnf(c_0_166,negated_conjecture,
    coll(esk1_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_139,c_0_157]) ).

fof(c_0_167,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_168,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_169,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_170,negated_conjecture,
    ( para(X1,X2,esk3_0,esk2_0)
    | ~ perp(X1,X2,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_171,negated_conjecture,
    ( para(X1,esk1_0,X2,esk4_0)
    | ~ midp(esk5_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_172,plain,
    ( perp(X1,X1,X2,X3)
    | ~ midp(X1,X3,X3)
    | ~ midp(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_163,c_0_122]) ).

cnf(c_0_173,negated_conjecture,
    midp(esk4_0,X1,X1),
    inference(spm,[status(thm)],[c_0_164,c_0_156]) ).

cnf(c_0_174,negated_conjecture,
    midp(esk1_0,esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_165]),c_0_166])]) ).

fof(c_0_175,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_176,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_177,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_168]) ).

cnf(c_0_178,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_120]) ).

cnf(c_0_179,negated_conjecture,
    ( para(X1,X2,esk3_0,esk2_0)
    | ~ perp(X3,X4,esk3_0,esk1_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_180,negated_conjecture,
    para(esk1_0,esk1_0,esk4_0,esk4_0),
    inference(spm,[status(thm)],[c_0_171,c_0_162]) ).

cnf(c_0_181,negated_conjecture,
    perp(esk4_0,esk4_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_173])]) ).

cnf(c_0_182,negated_conjecture,
    midp(esk1_0,X1,X1),
    inference(spm,[status(thm)],[c_0_164,c_0_174]) ).

cnf(c_0_183,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_184,negated_conjecture,
    perp(esk3_0,esk2_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_176,c_0_160]) ).

cnf(c_0_185,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_186,negated_conjecture,
    para(esk1_0,esk1_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181])]) ).

cnf(c_0_187,negated_conjecture,
    perp(esk1_0,esk1_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_182]),c_0_182])]) ).

fof(c_0_188,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_189,negated_conjecture,
    perp(esk3_0,esk2_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_190,negated_conjecture,
    perp(esk3_0,esk2_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187])]) ).

fof(c_0_191,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_192,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_188]) ).

cnf(c_0_193,negated_conjecture,
    ( para(X1,X2,esk1_0,esk3_0)
    | ~ perp(X1,X2,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_189]) ).

cnf(c_0_194,negated_conjecture,
    perp(X1,X2,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_176,c_0_190]) ).

cnf(c_0_195,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_191]) ).

cnf(c_0_196,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_192,c_0_133]) ).

cnf(c_0_197,negated_conjecture,
    para(X1,X2,esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194])]) ).

cnf(c_0_198,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X2,X1,X5,X6) ),
    inference(spm,[status(thm)],[c_0_75,c_0_120]) ).

cnf(c_0_199,plain,
    ( eqangle(X1,X2,X1,X2,X3,X4,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_195,c_0_133]) ).

cnf(c_0_200,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_197])]) ).

cnf(c_0_201,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
    | ~ para(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_195,c_0_198]) ).

cnf(c_0_202,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200])]) ).

cnf(c_0_203,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_200])]) ).

cnf(c_0_204,negated_conjecture,
    ~ eqangle(esk1_0,esk3_0,esk3_0,esk6_0,esk6_0,esk3_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_205,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_202]),c_0_203])]) ).

cnf(c_0_206,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : GEO581+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.08  % Command  : run_ET %s %d
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 600
% 0.07/0.26  % DateTime : Fri Jun 17 15:11:01 EDT 2022
% 0.07/0.26  % CPUTime  : 
% 0.14/1.32  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.14/1.32  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.14/1.32  # Preprocessing time       : 0.012 s
% 0.14/1.32  
% 0.14/1.32  # Proof found!
% 0.14/1.32  # SZS status Theorem
% 0.14/1.32  # SZS output start CNFRefutation
% See solution above
% 0.14/1.32  # Proof object total steps             : 207
% 0.14/1.32  # Proof object clause steps            : 150
% 0.14/1.32  # Proof object formula steps           : 57
% 0.14/1.32  # Proof object conjectures             : 111
% 0.14/1.32  # Proof object clause conjectures      : 108
% 0.14/1.32  # Proof object formula conjectures     : 3
% 0.14/1.32  # Proof object initial clauses used    : 33
% 0.14/1.32  # Proof object initial formulas used   : 28
% 0.14/1.32  # Proof object generating inferences   : 110
% 0.14/1.32  # Proof object simplifying inferences  : 36
% 0.14/1.32  # Training examples: 0 positive, 0 negative
% 0.14/1.32  # Parsed axioms                        : 95
% 0.14/1.32  # Removed by relevancy pruning/SinE    : 43
% 0.14/1.32  # Initial clauses                      : 72
% 0.14/1.32  # Removed in clause preprocessing      : 0
% 0.14/1.32  # Initial clauses in saturation        : 72
% 0.14/1.32  # Processed clauses                    : 4402
% 0.14/1.32  # ...of these trivial                  : 407
% 0.14/1.32  # ...subsumed                          : 1616
% 0.14/1.32  # ...remaining for further processing  : 2379
% 0.14/1.32  # Other redundant clauses eliminated   : 0
% 0.14/1.32  # Clauses deleted for lack of memory   : 0
% 0.14/1.32  # Backward-subsumed                    : 64
% 0.14/1.32  # Backward-rewritten                   : 1563
% 0.14/1.32  # Generated clauses                    : 28642
% 0.14/1.32  # ...of the previous two non-trivial   : 24805
% 0.14/1.32  # Contextual simplify-reflections      : 59
% 0.14/1.32  # Paramodulations                      : 28642
% 0.14/1.32  # Factorizations                       : 0
% 0.14/1.32  # Equation resolutions                 : 0
% 0.14/1.32  # Current number of processed clauses  : 752
% 0.14/1.32  #    Positive orientable unit clauses  : 88
% 0.14/1.32  #    Positive unorientable unit clauses: 0
% 0.14/1.32  #    Negative unit clauses             : 0
% 0.14/1.32  #    Non-unit-clauses                  : 664
% 0.14/1.32  # Current number of unprocessed clauses: 5849
% 0.14/1.32  # ...number of literals in the above   : 20675
% 0.14/1.32  # Current number of archived formulas  : 0
% 0.14/1.32  # Current number of archived clauses   : 1627
% 0.14/1.32  # Clause-clause subsumption calls (NU) : 214029
% 0.14/1.32  # Rec. Clause-clause subsumption calls : 184137
% 0.14/1.32  # Non-unit clause-clause subsumptions  : 1705
% 0.14/1.32  # Unit Clause-clause subsumption calls : 23256
% 0.14/1.32  # Rewrite failures with RHS unbound    : 0
% 0.14/1.32  # BW rewrite match attempts            : 9973
% 0.14/1.32  # BW rewrite match successes           : 1223
% 0.14/1.32  # Condensation attempts                : 0
% 0.14/1.32  # Condensation successes               : 0
% 0.14/1.32  # Termbank termtop insertions          : 397807
% 0.14/1.32  
% 0.14/1.32  # -------------------------------------------------
% 0.14/1.32  # User time                : 0.498 s
% 0.14/1.32  # System time              : 0.007 s
% 0.14/1.32  # Total time               : 0.505 s
% 0.14/1.32  # Maximum resident set size: 20936 pages
% 0.15/23.32  eprover: CPU time limit exceeded, terminating
% 0.15/23.33  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.33  eprover: No such file or directory
% 0.15/23.33  eprover: CPU time limit exceeded, terminating
% 0.15/23.33  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.33  eprover: No such file or directory
% 0.15/23.34  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.34  eprover: No such file or directory
% 0.15/23.34  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.34  eprover: No such file or directory
% 0.15/23.35  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.35  eprover: No such file or directory
% 0.15/23.35  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.35  eprover: No such file or directory
% 0.15/23.35  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.35  eprover: No such file or directory
% 0.15/23.36  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.36  eprover: No such file or directory
% 0.15/23.36  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.36  eprover: No such file or directory
% 0.15/23.36  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.36  eprover: No such file or directory
% 0.15/23.36  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.36  eprover: No such file or directory
% 0.15/23.36  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.36  eprover: No such file or directory
% 0.15/23.37  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.37  eprover: No such file or directory
% 0.15/23.37  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.37  eprover: No such file or directory
% 0.15/23.37  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.37  eprover: No such file or directory
% 0.15/23.37  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.37  eprover: No such file or directory
% 0.15/23.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.38  eprover: No such file or directory
% 0.15/23.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.15/23.38  eprover: No such file or directory
% 0.15/23.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.38  eprover: No such file or directory
% 0.15/23.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.38  eprover: No such file or directory
% 0.15/23.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.38  eprover: No such file or directory
% 0.15/23.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.15/23.39  eprover: No such file or directory
%------------------------------------------------------------------------------