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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GEO581+1 : TPTP v9.2.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n008.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  : 300s
% DateTime : Tue May  5 04:21:35 PM UTC 2026

% Result   : Theorem 1.78s 1.89s
% Output   : CNFRefutation 1.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  182 (  59 unt;   0 def)
%            Number of atoms       :  391 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  351 ( 142   ~; 139   |;  36   &)
%                                         (   0 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-6 aty)
%            Number of variables   :  636 (  60 sgn 326   !;   1   ?)

% 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/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416043) ).

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(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

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(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(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(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(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(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(ruleX6,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
    ? [X9] :
      ( ( midp(X7,X1,X2)
        & midp(X17,X3,X4) )
     => ( midp(X9,X1,X4)
        & para(X9,X7,X2,X4)
        & para(X9,X17,X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

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

fof(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(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(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(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(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(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(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

fof(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

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(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X4)
        & cyclic(X1,X2,X3,X5) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & para(X5,X6,X2,X3)
        & coll(X6,X1,X3) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

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

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(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(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(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(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(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(c_0_33,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_34,plain,
    ! [X550,X551,X552] :
      ( ~ coll(X550,X551,X552)
      | coll(X551,X550,X552) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

fof(c_0_35,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk23_0,esk22_0)
    & eqangle(esk22_0,esk21_0,esk21_0,esk25_0,esk21_0,esk25_0,esk25_0,esk24_0)
    & cong(esk21_0,esk25_0,esk25_0,esk24_0)
    & coll(esk26_0,esk22_0,esk25_0)
    & coll(esk26_0,esk21_0,esk24_0)
    & ~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).

fof(c_0_36,plain,
    ! [X547,X548,X549] :
      ( ~ coll(X547,X548,X549)
      | coll(X547,X549,X548) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_37,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    coll(esk26_0,esk22_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_39,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    coll(esk22_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    coll(esk26_0,esk21_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_42,plain,
    ! [X553,X554,X555,X556] :
      ( ~ coll(X553,X554,X555)
      | ~ coll(X553,X554,X556)
      | coll(X555,X556,X553) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_43,negated_conjecture,
    coll(esk22_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk21_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_37,c_0_41]) ).

cnf(c_0_45,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    coll(esk25_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk21_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_39,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ( coll(X1,esk26_0,esk25_0)
    | ~ coll(esk25_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_49,negated_conjecture,
    ( coll(X1,esk26_0,esk21_0)
    | ~ coll(esk21_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_47]) ).

cnf(c_0_50,negated_conjecture,
    coll(esk26_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_48,c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    coll(esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_49,c_0_47]) ).

fof(c_0_52,plain,
    ! [X664,X665,X666,X667] :
      ( ~ cong(X664,X665,X666,X667)
      | cong(X664,X665,X667,X666) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

fof(c_0_53,plain,
    ! [X668,X669,X670,X671] :
      ( ~ cong(X668,X669,X670,X671)
      | cong(X670,X671,X668,X669) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_54,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(esk26_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_38]) ).

cnf(c_0_55,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ( coll(X1,esk24_0,esk26_0)
    | ~ coll(esk26_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_41]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_39,c_0_51]) ).

cnf(c_0_58,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_59,negated_conjecture,
    cong(esk21_0,esk25_0,esk25_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_60,plain,
    ! [X672,X673,X674,X675,X676,X677] :
      ( ~ cong(X672,X673,X674,X675)
      | ~ cong(X674,X675,X676,X677)
      | cong(X672,X673,X676,X677) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_61,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_54,c_0_38]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk21_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_55,c_0_51]) ).

cnf(c_0_64,negated_conjecture,
    coll(esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

fof(c_0_65,plain,
    ! [X858,X859,X860,X861] :
      ( ~ cong(X858,X860,X859,X860)
      | ~ cong(X858,X861,X859,X861)
      | perp(X858,X859,X860,X861) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_66,negated_conjecture,
    cong(esk21_0,esk25_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_67,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    cong(esk25_0,esk24_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_61,c_0_59]) ).

cnf(c_0_69,negated_conjecture,
    coll(esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_39,c_0_62]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk25_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk26_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_39,c_0_64]) ).

cnf(c_0_72,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    cong(esk24_0,esk25_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_61,c_0_66]) ).

fof(c_0_74,plain,
    ! [X914,X915,X916] :
      ( ~ cong(X914,X915,X914,X916)
      | ~ coll(X914,X915,X916)
      | midp(X914,X915,X916) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_75,negated_conjecture,
    ( cong(X1,X2,esk21_0,esk25_0)
    | ~ cong(X1,X2,esk25_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_76,negated_conjecture,
    ( coll(X1,esk25_0,esk25_0)
    | ~ coll(esk25_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_69]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk25_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_39,c_0_70]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk24_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_55,c_0_71]) ).

fof(c_0_79,plain,
    ! [X896,X897,X898,X899,X900] :
      ( ~ midp(X900,X896,X897)
      | ~ midp(X900,X898,X899)
      | para(X896,X898,X897,X899) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

fof(c_0_80,plain,
    ! [X987,X988,X989,X990,X991,X992] :
      ( ( midp(esk6_6(X987,X988,X989,X990,X991,X992),X987,X990)
        | ~ midp(X991,X987,X988)
        | ~ midp(X992,X989,X990) )
      & ( para(esk6_6(X987,X988,X989,X990,X991,X992),X991,X988,X990)
        | ~ midp(X991,X987,X988)
        | ~ midp(X992,X989,X990) )
      & ( para(esk6_6(X987,X988,X989,X990,X991,X992),X992,X987,X989)
        | ~ midp(X991,X987,X988)
        | ~ midp(X992,X989,X990) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).

fof(c_0_81,plain,
    ! [X854,X855,X856,X857] :
      ( ~ midp(X856,X854,X855)
      | ~ perp(X857,X856,X854,X855)
      | cong(X857,X854,X857,X855) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_82,negated_conjecture,
    ( perp(esk24_0,esk21_0,X1,esk25_0)
    | ~ cong(esk24_0,X1,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_83,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_84,negated_conjecture,
    cong(esk21_0,esk25_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_75,c_0_59]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk21_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_86,negated_conjecture,
    coll(esk25_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_78]) ).

cnf(c_0_87,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_88,plain,
    ( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_89,plain,
    ( cong(X4,X2,X4,X3)
    | ~ midp(X1,X2,X3)
    | ~ perp(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_90,negated_conjecture,
    perp(esk24_0,esk21_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_82,c_0_73]) ).

cnf(c_0_91,negated_conjecture,
    midp(esk21_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk25_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_39,c_0_86]) ).

fof(c_0_93,plain,
    ! [X628,X629,X630,X631,X632,X633,X634,X635] :
      ( ~ eqangle(X628,X629,X630,X631,X632,X633,X634,X635)
      | eqangle(X630,X631,X628,X629,X634,X635,X632,X633) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_94,plain,
    ! [X782,X783,X784,X785,X786,X787] :
      ( ~ para(X782,X783,X784,X785)
      | eqangle(X782,X783,X786,X787,X784,X785,X786,X787) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_95,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
    | ~ midp(X8,X6,X4)
    | ~ midp(X7,X2,X5) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_96,negated_conjecture,
    cong(esk24_0,esk25_0,esk24_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).

cnf(c_0_97,negated_conjecture,
    coll(esk24_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_76,c_0_92]) ).

fof(c_0_98,plain,
    ! [X776,X777,X778,X779,X780,X781] :
      ( ~ eqangle(X776,X777,X780,X781,X778,X779,X780,X781)
      | para(X776,X777,X778,X779) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_99,plain,
    ( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_100,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_101,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_95,c_0_88]) ).

cnf(c_0_102,negated_conjecture,
    midp(esk24_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_96]),c_0_97])]) ).

cnf(c_0_103,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_104,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_105,negated_conjecture,
    ( para(X1,X1,esk25_0,esk25_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

fof(c_0_106,plain,
    ! [X911,X912,X913] :
      ( ~ para(X911,X912,X911,X913)
      | coll(X911,X912,X913) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_107,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_108,negated_conjecture,
    para(esk25_0,esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_105,c_0_102]) ).

cnf(c_0_109,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_110,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_111,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

fof(c_0_112,plain,
    ! [X796,X797,X798,X799] :
      ( ~ eqangle(X798,X796,X798,X797,X799,X796,X799,X797)
      | ~ coll(X798,X799,X797)
      | cyclic(X796,X797,X798,X799) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_113,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_111]) ).

cnf(c_0_114,plain,
    ( cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ coll(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_115,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_39,c_0_113]) ).

fof(c_0_116,plain,
    ! [X607,X608,X609,X610] :
      ( ~ cyclic(X607,X608,X609,X610)
      | cyclic(X607,X609,X608,X610) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_117,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_100]) ).

cnf(c_0_118,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_115]),c_0_115])]) ).

fof(c_0_119,plain,
    ! [X603,X604,X605,X606] :
      ( ~ cyclic(X603,X604,X605,X606)
      | cyclic(X603,X604,X606,X605) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_120,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_121,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_110])]),c_0_118])]) ).

fof(c_0_122,plain,
    ! [X611,X612,X613,X614] :
      ( ~ cyclic(X611,X612,X613,X614)
      | cyclic(X612,X611,X613,X614) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_123,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_124,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

fof(c_0_125,plain,
    ! [X800,X801,X802,X803,X804,X805] :
      ( ~ cyclic(X800,X801,X802,X803)
      | ~ cyclic(X800,X801,X802,X804)
      | ~ cyclic(X800,X801,X802,X805)
      | ~ eqangle(X802,X800,X802,X801,X805,X803,X805,X804)
      | cong(X800,X801,X803,X804) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).

fof(c_0_126,plain,
    ! [X850,X851,X852,X853] :
      ( ~ cyclic(X850,X851,X852,X853)
      | ~ para(X850,X851,X852,X853)
      | eqangle(X850,X853,X852,X853,X852,X853,X852,X851) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

fof(c_0_127,plain,
    ! [X615,X616,X617,X618,X619] :
      ( ~ cyclic(X615,X616,X617,X618)
      | ~ cyclic(X615,X616,X617,X619)
      | cyclic(X616,X617,X618,X619) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_128,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_129,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_130,plain,
    ( cong(X1,X2,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X6)
    | ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_131,plain,
    ( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_132,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_133,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_134,plain,
    ( cong(X1,X1,X1,X2)
    | ~ cyclic(X1,X1,X3,X3)
    | ~ cyclic(X1,X1,X3,X2)
    | ~ cyclic(X1,X1,X3,X1)
    | ~ cyclic(X3,X2,X3,X1)
    | ~ para(X3,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_135,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_133])]) ).

fof(c_0_136,plain,
    ! [X811,X812,X813,X814,X815] :
      ( ~ midp(X814,X811,X812)
      | ~ para(X814,X815,X812,X813)
      | ~ coll(X815,X811,X813)
      | midp(X815,X811,X813) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

fof(c_0_137,plain,
    ! [X557,X558,X559,X560] :
      ( ~ para(X557,X558,X559,X560)
      | para(X557,X558,X560,X559) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

fof(c_0_138,plain,
    ! [X901,X902,X903,X904,X905] :
      ( ~ midp(X905,X901,X902)
      | ~ para(X901,X903,X902,X904)
      | ~ para(X901,X904,X902,X903)
      | midp(X905,X903,X904) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_139,plain,
    ( cong(X1,X1,X1,X2)
    | ~ para(X3,X2,X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_121])]),c_0_135]),c_0_135]),c_0_135])]) ).

cnf(c_0_140,plain,
    ( midp(X4,X2,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X1,X4,X3,X5)
    | ~ coll(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_141,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_142,plain,
    ( midp(X1,X4,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X2,X4,X3,X5)
    | ~ para(X2,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_143,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_118])]) ).

cnf(c_0_144,negated_conjecture,
    cong(X1,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_139,c_0_110]) ).

fof(c_0_145,plain,
    ! [X816,X817,X818] :
      ( ~ cong(X818,X816,X818,X817)
      | eqangle(X818,X816,X816,X817,X816,X817,X818,X817) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_146,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_118])]) ).

cnf(c_0_147,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_141,c_0_110]) ).

cnf(c_0_148,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_110]),c_0_110])]) ).

cnf(c_0_149,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

fof(c_0_150,plain,
    ! [X561,X562,X563,X564] :
      ( ~ para(X561,X562,X563,X564)
      | para(X563,X564,X561,X562) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_151,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

fof(c_0_152,plain,
    ! [X917,X918,X919] :
      ( ~ midp(X917,X918,X919)
      | cong(X917,X918,X917,X919) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_153,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_154,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_155,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_156,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_151]) ).

cnf(c_0_157,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_158,negated_conjecture,
    midp(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_159,plain,
    ( para(X1,X2,X1,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_160,negated_conjecture,
    cong(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_161,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_110]) ).

fof(c_0_162,plain,
    ! [X806,X807,X808,X809,X810] :
      ( ~ midp(X809,X806,X807)
      | ~ midp(X810,X806,X808)
      | para(X809,X810,X807,X808) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_163,plain,
    para(X1,X2,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]) ).

cnf(c_0_164,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_161,c_0_154]) ).

fof(c_0_165,plain,
    ! [X636,X637,X638,X639,X640,X641,X642,X643] :
      ( ~ eqangle(X636,X637,X638,X639,X640,X641,X642,X643)
      | eqangle(X640,X641,X642,X643,X636,X637,X638,X639) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_166,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_167,plain,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_163]),c_0_164])]) ).

cnf(c_0_168,plain,
    ( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

fof(c_0_169,plain,
    ! [X644,X645,X646,X647,X648,X649,X650,X651] :
      ( ~ eqangle(X644,X645,X646,X647,X648,X649,X650,X651)
      | eqangle(X644,X645,X648,X649,X646,X647,X650,X651) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_170,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167]),c_0_167])]) ).

cnf(c_0_171,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_168,c_0_100]) ).

fof(c_0_172,plain,
    ! [X652,X653,X654,X655,X656,X657,X658,X659,X660,X661,X662,X663] :
      ( ~ eqangle(X652,X653,X654,X655,X656,X657,X658,X659)
      | ~ eqangle(X656,X657,X658,X659,X660,X661,X662,X663)
      | eqangle(X652,X653,X654,X655,X660,X661,X662,X663) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_173,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_174,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_170])]) ).

cnf(c_0_175,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_170])]) ).

cnf(c_0_176,plain,
    ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_177,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_178,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_173,c_0_175]) ).

cnf(c_0_179,negated_conjecture,
    ~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_180,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178])]) ).

cnf(c_0_181,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO581+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n008.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Mon May  4 18:03:58 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.78/1.89  % Version  : CSE_E---1.7
% 1.78/1.89  % Problem  : theBenchmark.p
% 1.78/1.89  % SZS status Theorem for theBenchmark.p
% 1.78/1.89  % SZS output start CNFRefutation
% See solution above
% 1.78/1.89  % Total time : 1.372s
%------------------------------------------------------------------------------