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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GEO607+1 : TPTP v9.2.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n002.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 04:21:40 PM UTC 2026

% Result   : Theorem 1.95s 1.94s
% Output   : CNFRefutation 1.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  293 ( 103 unt;   0 def)
%            Number of atoms       :  592 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  521 ( 222   ~; 219   |;  38   &)
%                                         (   0 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-6 aty)
%            Number of variables   :  776 (  45 sgn 384   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618069,conjecture,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( midp(X3,X2,X1)
        & perp(X4,X1,X4,X2)
        & circle(X5,X1,X3,X4)
        & circle(X6,X2,X4,X3) )
     => perp(X5,X4,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).

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(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(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(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

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(ruleD52,axiom,
    ! [X1,X2,X3,X7] :
      ( ( perp(X1,X2,X2,X3)
        & midp(X7,X1,X3) )
     => cong(X1,X7,X2,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).

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(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

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

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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

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(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(ruleD53,axiom,
    ! [X1,X2,X3,X8] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X8,X1,X3) )
     => perp(X1,X2,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

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(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(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(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(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

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(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(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(ruleD75,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
        & cong(X9,X10,X11,X12) )
     => cong(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(ruleD70,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
      ( ( midp(X7,X1,X2)
        & midp(X17,X3,X4) )
     => eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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(c_0_41,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6] :
        ( ( midp(X3,X2,X1)
          & perp(X4,X1,X4,X2)
          & circle(X5,X1,X3,X4)
          & circle(X6,X2,X4,X3) )
       => perp(X5,X4,X4,X6) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL618069]) ).

fof(c_0_42,plain,
    ! [X575,X576,X577,X578] :
      ( ~ perp(X575,X576,X577,X578)
      | perp(X577,X578,X575,X576) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_43,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk21_0)
    & perp(esk24_0,esk21_0,esk24_0,esk22_0)
    & circle(esk25_0,esk21_0,esk23_0,esk24_0)
    & circle(esk26_0,esk22_0,esk24_0,esk23_0)
    & ~ perp(esk25_0,esk24_0,esk24_0,esk26_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).

fof(c_0_44,plain,
    ! [X571,X572,X573,X574] :
      ( ~ perp(X571,X572,X573,X574)
      | perp(X571,X572,X574,X573) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

fof(c_0_45,plain,
    ! [X579,X580,X581,X582,X583,X584] :
      ( ~ perp(X579,X580,X581,X582)
      | ~ perp(X581,X582,X583,X584)
      | para(X579,X580,X583,X584) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

cnf(c_0_46,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    perp(esk24_0,esk21_0,esk24_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_48,plain,
    ! [X920,X921,X922] :
      ( ~ midp(X920,X921,X922)
      | coll(X920,X921,X922) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

cnf(c_0_49,plain,
    ( perp(X1,X2,X4,X3)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_50,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_51,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    perp(esk24_0,esk22_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

fof(c_0_53,plain,
    ! [X550,X551,X552] :
      ( ~ coll(X550,X551,X552)
      | coll(X551,X550,X552) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_54,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    midp(esk23_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_56,plain,
    ! [X842,X843,X844,X845] :
      ( ~ perp(X842,X843,X843,X844)
      | ~ midp(X845,X842,X844)
      | cong(X842,X845,X843,X845) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_57,negated_conjecture,
    perp(esk24_0,esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_49,c_0_47]) ).

fof(c_0_58,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_59,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_60,negated_conjecture,
    ( para(X1,X2,esk24_0,esk21_0)
    | ~ perp(X1,X2,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

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

cnf(c_0_62,negated_conjecture,
    coll(esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_63,plain,
    ! [X1021,X1022,X1023,X1024] :
      ( ~ circle(X1024,X1021,X1022,X1023)
      | perp(esk12_4(X1021,X1022,X1023,X1024),X1021,X1021,X1024) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

cnf(c_0_64,plain,
    ( cong(X1,X4,X2,X4)
    | ~ perp(X1,X2,X2,X3)
    | ~ midp(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_65,negated_conjecture,
    perp(esk22_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_57]) ).

cnf(c_0_66,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_67,negated_conjecture,
    ( coll(esk24_0,X1,esk21_0)
    | ~ perp(esk24_0,X1,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    coll(esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_69,plain,
    ( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

fof(c_0_70,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])]) ).

cnf(c_0_71,negated_conjecture,
    ( cong(esk22_0,X1,esk24_0,X1)
    | ~ midp(X1,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    ( coll(X1,esk21_0,esk23_0)
    | ~ coll(esk23_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_62]) ).

fof(c_0_73,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_74,negated_conjecture,
    coll(esk24_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_67,c_0_47]) ).

cnf(c_0_75,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(esk22_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_68]) ).

cnf(c_0_76,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_51,c_0_69]) ).

cnf(c_0_77,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_46,c_0_69]) ).

fof(c_0_78,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])]) ).

fof(c_0_79,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_80,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_81,negated_conjecture,
    cong(esk22_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_71,c_0_55]) ).

cnf(c_0_82,negated_conjecture,
    coll(esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_72,c_0_62]) ).

cnf(c_0_83,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_61,c_0_74]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_68]) ).

cnf(c_0_86,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_87,negated_conjecture,
    circle(esk26_0,esk22_0,esk24_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_88,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_89,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    cong(esk22_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_91,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_93,negated_conjecture,
    ( coll(X1,esk22_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_85]) ).

cnf(c_0_94,negated_conjecture,
    para(esk22_0,esk26_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

fof(c_0_95,plain,
    ! [X585,X586,X587,X588,X589,X590] :
      ( ~ para(X585,X586,X587,X588)
      | ~ perp(X587,X588,X589,X590)
      | perp(X585,X586,X589,X590) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

fof(c_0_96,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])]) ).

cnf(c_0_97,negated_conjecture,
    ( cong(X1,X2,esk24_0,esk23_0)
    | ~ cong(X1,X2,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_81]) ).

cnf(c_0_98,negated_conjecture,
    cong(esk23_0,esk24_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_100,negated_conjecture,
    ( coll(X1,esk24_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk24_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_93,c_0_92]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk22_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_59,c_0_94]) ).

cnf(c_0_103,plain,
    ( perp(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_104,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

fof(c_0_105,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_106,negated_conjecture,
    cong(esk23_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_99]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_100,c_0_92]) ).

fof(c_0_109,plain,
    ! [X846,X847,X848,X849] :
      ( ~ circle(X849,X846,X847,X848)
      | ~ coll(X849,X846,X848)
      | perp(X846,X847,X847,X848) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).

cnf(c_0_110,negated_conjecture,
    coll(esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_68]) ).

cnf(c_0_111,negated_conjecture,
    coll(esk22_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_61,c_0_101]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_62]) ).

cnf(c_0_113,negated_conjecture,
    coll(esk26_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_61,c_0_102]) ).

cnf(c_0_114,negated_conjecture,
    ( perp(X1,X2,esk22_0,esk24_0)
    | ~ para(X1,X2,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_57]) ).

cnf(c_0_115,negated_conjecture,
    ( para(X1,esk22_0,X2,esk21_0)
    | ~ midp(esk23_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_104,c_0_55]) ).

cnf(c_0_116,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_117,negated_conjecture,
    cong(esk23_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_80,c_0_106]) ).

cnf(c_0_118,negated_conjecture,
    ( coll(X1,esk23_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_107]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_108]) ).

cnf(c_0_120,plain,
    ( perp(X2,X3,X3,X4)
    | ~ circle(X1,X2,X3,X4)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

fof(c_0_121,plain,
    ! [X591,X592,X593] :
      ( ~ midp(X593,X592,X591)
      | midp(X593,X591,X592) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_122,negated_conjecture,
    cong(esk23_0,esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_80,c_0_98]) ).

cnf(c_0_123,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_110]) ).

cnf(c_0_124,negated_conjecture,
    coll(esk22_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_111]) ).

cnf(c_0_125,negated_conjecture,
    ( coll(X1,esk22_0,esk23_0)
    | ~ coll(esk23_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_112]) ).

cnf(c_0_126,negated_conjecture,
    coll(esk26_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_113]) ).

cnf(c_0_127,negated_conjecture,
    ( perp(X1,esk22_0,esk22_0,esk24_0)
    | ~ midp(esk23_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_128,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk24_0)
    | ~ coll(esk23_0,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_129,negated_conjecture,
    coll(esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

fof(c_0_130,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_131,negated_conjecture,
    ( perp(esk22_0,esk24_0,esk24_0,esk23_0)
    | ~ coll(esk26_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_87]) ).

cnf(c_0_132,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_133,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk22_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_122]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_135,negated_conjecture,
    coll(esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_125,c_0_112]) ).

cnf(c_0_136,negated_conjecture,
    ( coll(X1,esk22_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_126]) ).

cnf(c_0_137,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk22_0,esk24_0)
    | ~ coll(esk23_0,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_138,negated_conjecture,
    coll(esk23_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_61,c_0_129]) ).

cnf(c_0_139,plain,
    ( cong(X4,X2,X4,X3)
    | ~ midp(X1,X2,X3)
    | ~ perp(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_140,negated_conjecture,
    ( perp(esk24_0,esk23_0,esk22_0,esk24_0)
    | ~ coll(esk26_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_131]) ).

cnf(c_0_141,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk24_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_142,negated_conjecture,
    coll(esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_61,c_0_134]) ).

cnf(c_0_143,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_135]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk22_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_136,c_0_126]) ).

cnf(c_0_145,negated_conjecture,
    coll(esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_135]) ).

cnf(c_0_146,negated_conjecture,
    perp(esk24_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138])]) ).

cnf(c_0_147,negated_conjecture,
    ( cong(esk24_0,esk22_0,esk24_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk24_0)
    | ~ coll(esk26_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_148,negated_conjecture,
    midp(esk23_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).

cnf(c_0_149,negated_conjecture,
    coll(esk26_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_150,negated_conjecture,
    coll(esk24_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_101]) ).

cnf(c_0_151,negated_conjecture,
    coll(esk22_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_145]) ).

cnf(c_0_152,negated_conjecture,
    perp(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_146]) ).

cnf(c_0_153,negated_conjecture,
    ( cong(esk24_0,esk22_0,esk24_0,esk24_0)
    | ~ coll(esk26_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).

cnf(c_0_154,negated_conjecture,
    coll(esk26_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_149]) ).

cnf(c_0_155,negated_conjecture,
    ( coll(X1,esk22_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_150]) ).

cnf(c_0_156,negated_conjecture,
    ( coll(X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_151]) ).

cnf(c_0_157,negated_conjecture,
    ( perp(X1,X2,esk24_0,esk22_0)
    | ~ para(X1,X2,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_47]) ).

cnf(c_0_158,negated_conjecture,
    perp(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_49,c_0_152]) ).

cnf(c_0_159,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).

cnf(c_0_160,negated_conjecture,
    coll(esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_155,c_0_119]) ).

cnf(c_0_161,negated_conjecture,
    coll(esk24_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_156,c_0_124]) ).

cnf(c_0_162,negated_conjecture,
    ( perp(X1,esk22_0,esk24_0,esk22_0)
    | ~ midp(esk23_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_115]) ).

cnf(c_0_163,negated_conjecture,
    ( perp(esk22_0,esk22_0,esk22_0,esk24_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_141]) ).

cnf(c_0_164,negated_conjecture,
    ( cong(esk22_0,esk22_0,esk22_0,esk24_0)
    | ~ midp(esk24_0,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_158]) ).

cnf(c_0_165,negated_conjecture,
    midp(esk24_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_159]),c_0_160])]) ).

cnf(c_0_166,negated_conjecture,
    coll(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_61,c_0_161]) ).

cnf(c_0_167,negated_conjecture,
    ( perp(esk22_0,esk22_0,esk24_0,esk22_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_141]) ).

cnf(c_0_168,negated_conjecture,
    perp(esk22_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_142])]) ).

cnf(c_0_169,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).

cnf(c_0_170,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_166]) ).

fof(c_0_171,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])]) ).

cnf(c_0_172,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_167]) ).

cnf(c_0_173,negated_conjecture,
    ( cong(esk22_0,X1,esk22_0,X1)
    | ~ midp(X1,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_168]) ).

cnf(c_0_174,negated_conjecture,
    midp(esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_169]),c_0_170])]) ).

cnf(c_0_175,negated_conjecture,
    ( coll(X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_145]) ).

fof(c_0_176,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_177,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])]) ).

fof(c_0_178,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_179,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

fof(c_0_180,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_181,negated_conjecture,
    perp(esk24_0,esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_142])]) ).

cnf(c_0_182,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_183,negated_conjecture,
    coll(esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_175,c_0_145]) ).

fof(c_0_184,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_185,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_176]) ).

cnf(c_0_186,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_187,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_188,negated_conjecture,
    para(esk22_0,esk26_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_179,c_0_94]) ).

fof(c_0_189,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_190,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_180]) ).

cnf(c_0_191,negated_conjecture,
    ( cong(esk24_0,esk22_0,esk24_0,esk22_0)
    | ~ midp(esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_181]) ).

cnf(c_0_192,negated_conjecture,
    midp(esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_182]),c_0_183])]) ).

cnf(c_0_193,negated_conjecture,
    ( coll(X1,esk24_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_170]) ).

cnf(c_0_194,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk24_0,esk22_0)
    | ~ coll(esk23_0,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_128]) ).

cnf(c_0_195,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_184]) ).

cnf(c_0_196,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_197,negated_conjecture,
    para(esk26_0,esk22_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_198,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_189]) ).

cnf(c_0_199,negated_conjecture,
    ( midp(X1,esk26_0,esk26_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_94]),c_0_94])]) ).

cnf(c_0_200,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_192])]) ).

cnf(c_0_201,negated_conjecture,
    coll(esk26_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_193,c_0_144]) ).

fof(c_0_202,plain,
    ! [X953,X954,X955,X956,X957,X958,X959,X960] :
      ( ~ eqratio(X953,X954,X955,X956,X957,X958,X959,X960)
      | ~ cong(X957,X958,X959,X960)
      | cong(X953,X954,X955,X956) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_203,plain,
    ! [X923,X924,X925,X926,X927,X928] :
      ( ~ midp(X927,X923,X924)
      | ~ midp(X928,X925,X926)
      | eqratio(X927,X923,X923,X924,X928,X925,X925,X926) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_204,negated_conjecture,
    perp(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_138])]) ).

cnf(c_0_205,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_206,negated_conjecture,
    para(esk26_0,esk22_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_179,c_0_197]) ).

cnf(c_0_207,negated_conjecture,
    ( cong(X1,esk26_0,X1,esk26_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_208,negated_conjecture,
    midp(esk24_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_200]),c_0_161])]) ).

cnf(c_0_209,negated_conjecture,
    ( coll(X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_113]) ).

cnf(c_0_210,negated_conjecture,
    coll(esk26_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_201]) ).

cnf(c_0_211,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ cong(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_202]) ).

cnf(c_0_212,plain,
    ( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_203]) ).

cnf(c_0_213,negated_conjecture,
    ( cong(esk24_0,esk24_0,esk24_0,esk22_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_204]) ).

cnf(c_0_214,negated_conjecture,
    midp(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_132,c_0_174]) ).

cnf(c_0_215,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_216,negated_conjecture,
    cong(esk24_0,esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_217,negated_conjecture,
    coll(esk24_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_218,plain,
    ( cong(X1,X2,X2,X3)
    | ~ cong(X4,X5,X5,X6)
    | ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_219,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214])]) ).

cnf(c_0_220,negated_conjecture,
    midp(esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_132,c_0_165]) ).

cnf(c_0_221,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_215]),c_0_215])]) ).

cnf(c_0_222,negated_conjecture,
    midp(esk24_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_216]),c_0_217])]) ).

cnf(c_0_223,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_59,c_0_215]) ).

cnf(c_0_224,negated_conjecture,
    ( cong(X1,X2,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220])]) ).

cnf(c_0_225,negated_conjecture,
    midp(esk24_0,X1,X1),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_226,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_61,c_0_223]) ).

fof(c_0_227,plain,
    ! [X937,X938,X939,X940,X941,X942,X943,X944] :
      ( ~ eqangle(X937,X938,X939,X940,X941,X942,X943,X944)
      | ~ para(X941,X942,X943,X944)
      | para(X937,X938,X939,X940) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

fof(c_0_228,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_229,negated_conjecture,
    cong(esk24_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_230,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_83,c_0_226]) ).

fof(c_0_231,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])]) ).

cnf(c_0_232,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ para(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_227]) ).

cnf(c_0_233,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_228]) ).

cnf(c_0_234,negated_conjecture,
    cong(X1,X1,esk24_0,X1),
    inference(spm,[status(thm)],[c_0_89,c_0_229]) ).

cnf(c_0_235,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_230]),c_0_230])]) ).

fof(c_0_236,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_237,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_231]) ).

cnf(c_0_238,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_239,negated_conjecture,
    cong(X1,X1,X1,esk24_0),
    inference(spm,[status(thm)],[c_0_80,c_0_234]) ).

cnf(c_0_240,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_235])]) ).

cnf(c_0_241,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_236]) ).

cnf(c_0_242,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_235])]) ).

cnf(c_0_243,negated_conjecture,
    para(X1,X1,X1,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_215])]) ).

cnf(c_0_244,negated_conjecture,
    midp(X1,X1,esk24_0),
    inference(spm,[status(thm)],[c_0_240,c_0_239]) ).

cnf(c_0_245,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_241,c_0_186]) ).

cnf(c_0_246,negated_conjecture,
    ( midp(X1,X2,esk24_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_247,negated_conjecture,
    midp(X1,esk24_0,X1),
    inference(spm,[status(thm)],[c_0_132,c_0_244]) ).

fof(c_0_248,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_249,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ coll(X3,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_215])]) ).

fof(c_0_250,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])])])])]) ).

cnf(c_0_251,negated_conjecture,
    midp(X1,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

fof(c_0_252,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_253,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_248]) ).

cnf(c_0_254,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_230])]) ).

cnf(c_0_255,plain,
    ( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_250]) ).

cnf(c_0_256,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_242,c_0_215]) ).

cnf(c_0_257,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_221,c_0_251]) ).

fof(c_0_258,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_259,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_252]) ).

cnf(c_0_260,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

fof(c_0_261,plain,
    ! [X565,X566,X567,X568,X569,X570] :
      ( ~ para(X565,X566,X567,X568)
      | ~ para(X567,X568,X569,X570)
      | para(X565,X566,X569,X570) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

cnf(c_0_262,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(X1,X4,X5)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_237,c_0_255]) ).

cnf(c_0_263,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_264,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_179,c_0_215]) ).

fof(c_0_265,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_266,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_267,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_258]) ).

cnf(c_0_268,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_269,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_270,plain,
    ( para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X1,X3)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_250]) ).

cnf(c_0_271,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_235])]) ).

cnf(c_0_272,negated_conjecture,
    midp(X1,X2,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_263])]) ).

cnf(c_0_273,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_264]) ).

cnf(c_0_274,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_265]) ).

cnf(c_0_275,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_266]) ).

cnf(c_0_276,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_277,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X4,X6)
    | ~ midp(X7,X3,X8)
    | ~ para(X1,X2,esk6_6(X3,X8,X4,X6,X7,X5),X5) ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_278,plain,
    ( para(X1,X2,esk6_6(X3,X1,X4,X2,X5,X6),X5)
    | ~ midp(X6,X4,X2)
    | ~ midp(X5,X3,X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_255]) ).

cnf(c_0_279,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_272])]) ).

cnf(c_0_280,negated_conjecture,
    midp(esk24_0,X1,X2),
    inference(spm,[status(thm)],[c_0_273,c_0_272]) ).

cnf(c_0_281,plain,
    ( cong(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X4,X4)
    | ~ cyclic(X1,X2,X4,X2)
    | ~ cyclic(X1,X2,X4,X3)
    | ~ para(X4,X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_274,c_0_186]) ).

cnf(c_0_282,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_276])]) ).

cnf(c_0_283,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X4,X2)
    | ~ midp(X5,X3,X1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_284,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

fof(c_0_285,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_286,plain,
    ( cong(X1,X2,X3,X2)
    | ~ para(X4,X1,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_254])]),c_0_282]),c_0_282])]) ).

cnf(c_0_287,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_284]),c_0_284])]) ).

cnf(c_0_288,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_285]) ).

cnf(c_0_289,plain,
    cong(X1,X2,X3,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_287])]) ).

cnf(c_0_290,negated_conjecture,
    ~ perp(esk25_0,esk24_0,esk24_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_291,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_289]),c_0_289])]) ).

cnf(c_0_292,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_291])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO607+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33  % Computer : n002.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon May  4 18:04:16 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.95/1.94  % Version  : CSE_E---1.7
% 1.95/1.94  % Problem  : theBenchmark.p
% 1.95/1.94  % SZS status Theorem for theBenchmark.p
% 1.95/1.94  % SZS output start CNFRefutation
% See solution above
% 1.95/1.95  % Total time : 1.374s
%------------------------------------------------------------------------------