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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : GEO655+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:30:37 PM UTC 2026

% Result   : Theorem 6.01s 1.20s
% Output   : CNFRefutation 6.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  202 ( 107 unt;   0 def)
%            Number of atoms       :  360 (   0 equ)
%            Maximal formula atoms :   12 (   1 avg)
%            Number of connectives :  254 (  96   ~;  93   |;  42   &)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :  310 (   0 sgn 190   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0229,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21,X22] :
      ( ( perp(X4,X6,X6,X13)
        & circle(X4,X2,X6,X22)
        & coll(X2,X5,X6)
        & eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
        & coll(X5,X1,X3)
        & perp(X1,X3,X21,X4)
        & midp(X21,X1,X3)
        & perp(X2,X3,X20,X4)
        & midp(X20,X2,X3)
        & perp(X2,X1,X19,X4)
        & midp(X19,X2,X1) )
     => para(X6,X13,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0229) ).

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

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

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

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

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

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

fof(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(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(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(ruleD12,axiom,
    ! [X1,X2,X3,X8] :
      ( ( cong(X8,X1,X8,X3)
        & cong(X8,X1,X8,X2) )
     => circle(X8,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).

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

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

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

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

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

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

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

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

fof(c_0_22,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21,X22] :
        ( ( perp(X4,X6,X6,X13)
          & circle(X4,X2,X6,X22)
          & coll(X2,X5,X6)
          & eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
          & coll(X5,X1,X3)
          & perp(X1,X3,X21,X4)
          & midp(X21,X1,X3)
          & perp(X2,X3,X20,X4)
          & midp(X20,X2,X3)
          & perp(X2,X1,X19,X4)
          & midp(X19,X2,X1) )
       => para(X6,X13,X1,X3) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0229]) ).

fof(c_0_23,plain,
    ! [X396,X397,X398] :
      ( coll(X396,X397,X398)
      | ~ midp(X396,X397,X398) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).

fof(c_0_24,negated_conjecture,
    ( ~ para(esk26_0,esk27_0,esk21_0,esk23_0)
    & perp(esk24_0,esk26_0,esk26_0,esk27_0)
    & circle(esk24_0,esk22_0,esk26_0,esk31_0)
    & coll(esk22_0,esk25_0,esk26_0)
    & eqangle(esk23_0,esk22_0,esk22_0,esk25_0,esk25_0,esk22_0,esk22_0,esk21_0)
    & coll(esk25_0,esk21_0,esk23_0)
    & perp(esk21_0,esk23_0,esk30_0,esk24_0)
    & midp(esk30_0,esk21_0,esk23_0)
    & perp(esk22_0,esk23_0,esk29_0,esk24_0)
    & midp(esk29_0,esk22_0,esk23_0)
    & perp(esk22_0,esk21_0,esk28_0,esk24_0)
    & midp(esk28_0,esk22_0,esk21_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).

fof(c_0_25,plain,
    ! [X23,X24,X25] :
      ( coll(X23,X25,X24)
      | ~ coll(X23,X24,X25) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).

cnf(c_0_26,plain,
    ( ~ midp(X1,X2,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    midp(esk30_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_28,plain,
    ! [X29,X30,X31,X32] :
      ( coll(X31,X32,X29)
      | ~ coll(X29,X30,X32)
      | ~ coll(X29,X30,X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).

cnf(c_0_29,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    coll(esk30_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_31,plain,
    ! [X26,X27,X28] :
      ( coll(X27,X26,X28)
      | ~ coll(X26,X27,X28) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).

cnf(c_0_32,negated_conjecture,
    midp(esk28_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,plain,
    ( ~ coll(X1,X2,X4)
    | ~ coll(X1,X2,X3)
    | coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    coll(esk30_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    coll(esk28_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_26,c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ coll(esk30_0,esk23_0,X1)
    | coll(X1,esk21_0,esk30_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    coll(esk22_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_39,plain,
    ! [X47,X48,X49,X50] :
      ( perp(X47,X48,X50,X49)
      | ~ perp(X47,X48,X49,X50) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).

cnf(c_0_40,negated_conjecture,
    coll(esk21_0,esk21_0,esk30_0),
    inference(spm,[status(thm)],[c_0_37,c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ coll(esk22_0,esk28_0,X1)
    | coll(X1,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_38]) ).

fof(c_0_42,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( para(X55,X56,X59,X60)
      | ~ perp(X57,X58,X59,X60)
      | ~ perp(X55,X56,X57,X58) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).

fof(c_0_43,plain,
    ! [X51,X52,X53,X54] :
      ( perp(X53,X54,X51,X52)
      | ~ perp(X51,X52,X53,X54) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).

cnf(c_0_44,plain,
    ( ~ perp(X1,X2,X3,X4)
    | perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_45,negated_conjecture,
    perp(esk24_0,esk26_0,esk26_0,esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ coll(esk21_0,esk21_0,X1)
    | coll(X1,esk30_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_41,c_0_38]) ).

cnf(c_0_48,plain,
    ( ~ perp(X3,X4,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,plain,
    ( ~ perp(X1,X2,X3,X4)
    | perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_50,negated_conjecture,
    perp(esk24_0,esk26_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    coll(esk22_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

fof(c_0_52,plain,
    ! [X33,X34,X35,X36] :
      ( para(X33,X34,X36,X35)
      | ~ para(X33,X34,X35,X36) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ perp(X1,X2,esk24_0,esk26_0)
    | para(X1,X2,esk26_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_45]) ).

cnf(c_0_54,negated_conjecture,
    perp(esk27_0,esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk22_0,esk21_0,esk30_0),
    inference(spm,[status(thm)],[c_0_29,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk22_0,esk25_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_57,plain,
    ! [X387,X388,X389] :
      ( coll(X387,X388,X389)
      | ~ para(X387,X388,X387,X389) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).

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

cnf(c_0_59,negated_conjecture,
    para(esk27_0,esk26_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    coll(esk21_0,esk30_0,esk23_0),
    inference(spm,[status(thm)],[c_0_35,c_0_30]) ).

cnf(c_0_61,negated_conjecture,
    coll(esk21_0,esk22_0,esk30_0),
    inference(spm,[status(thm)],[c_0_35,c_0_55]) ).

fof(c_0_62,plain,
    ! [X393,X394,X395] :
      ( cong(X393,X394,X393,X395)
      | ~ midp(X393,X394,X395) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk25_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_35,c_0_56]) ).

cnf(c_0_64,plain,
    ( ~ para(X1,X2,X1,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_65,negated_conjecture,
    para(esk27_0,esk26_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ coll(esk21_0,esk30_0,X1)
    | coll(X1,esk23_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_60]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk21_0,esk30_0,esk22_0),
    inference(spm,[status(thm)],[c_0_29,c_0_61]) ).

fof(c_0_68,plain,
    ! [X70,X71,X72,X73] :
      ( circle(X73,X70,X71,X72)
      | ~ cong(X73,X70,X73,X72)
      | ~ cong(X73,X70,X73,X71) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])])]) ).

cnf(c_0_69,plain,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk22_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_29,c_0_56]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ coll(esk25_0,esk22_0,X1)
    | coll(X1,esk26_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_63]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk27_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    coll(esk25_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,plain,
    ( ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3)
    | circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_76,negated_conjecture,
    cong(esk30_0,esk21_0,esk30_0,esk23_0),
    inference(spm,[status(thm)],[c_0_69,c_0_27]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ coll(esk22_0,esk26_0,X1)
    | coll(X1,esk25_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_70]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk26_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_71,c_0_63]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk26_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_35,c_0_72]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk21_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_35,c_0_73]) ).

cnf(c_0_81,negated_conjecture,
    coll(esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_29,c_0_74]) ).

fof(c_0_82,plain,
    ! [X322,X323,X324,X325] :
      ( perp(X322,X323,X323,X324)
      | ~ coll(X325,X322,X324)
      | ~ circle(X325,X322,X323,X324) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ cong(esk30_0,esk21_0,esk30_0,X1)
    | circle(esk30_0,esk21_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk21_0,esk23_0,esk30_0),
    inference(spm,[status(thm)],[c_0_29,c_0_60]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk25_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_77,c_0_70]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ coll(esk26_0,esk26_0,X1)
    | coll(X1,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_78]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk26_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_29,c_0_79]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk21_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_29,c_0_80]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk21_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_35,c_0_81]) ).

fof(c_0_90,plain,
    ! [X67,X68,X69] :
      ( midp(X69,X67,X68)
      | ~ midp(X69,X68,X67) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).

cnf(c_0_91,plain,
    ( ~ coll(X1,X2,X4)
    | ~ circle(X1,X2,X3,X4)
    | perp(X2,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    circle(esk30_0,esk21_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_76]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ coll(esk21_0,esk23_0,X1)
    | coll(X1,esk30_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_84]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk25_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_29,c_0_85]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk27_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ coll(esk21_0,esk23_0,X1)
    | coll(X1,esk25_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_88]) ).

cnf(c_0_97,negated_conjecture,
    coll(esk21_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_29,c_0_89]) ).

fof(c_0_98,plain,
    ! [X318,X319,X320,X321] :
      ( cong(X318,X321,X319,X321)
      | ~ midp(X321,X318,X320)
      | ~ perp(X318,X319,X319,X320) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])])]) ).

cnf(c_0_99,plain,
    ( ~ midp(X1,X2,X3)
    | midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_100,negated_conjecture,
    perp(esk21_0,esk23_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_30])]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk30_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_93,c_0_84]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_71,c_0_94]) ).

cnf(c_0_103,negated_conjecture,
    coll(esk25_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_35,c_0_95]) ).

cnf(c_0_104,negated_conjecture,
    coll(esk22_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_105,negated_conjecture,
    perp(esk21_0,esk23_0,esk30_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_106,plain,
    ( ~ midp(X4,X1,X3)
    | ~ perp(X1,X2,X2,X3)
    | cong(X1,X4,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_107,negated_conjecture,
    midp(esk30_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_99,c_0_27]) ).

cnf(c_0_108,negated_conjecture,
    perp(esk23_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_100]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ coll(esk30_0,esk21_0,X1)
    | coll(X1,esk23_0,esk30_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_30]) ).

cnf(c_0_110,negated_conjecture,
    coll(esk30_0,esk21_0,esk30_0),
    inference(spm,[status(thm)],[c_0_29,c_0_101]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ coll(esk25_0,esk26_0,X1)
    | coll(X1,esk25_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_102]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk25_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_29,c_0_103]) ).

cnf(c_0_113,negated_conjecture,
    coll(esk25_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_104]) ).

cnf(c_0_114,negated_conjecture,
    perp(esk26_0,esk27_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_49,c_0_45]) ).

fof(c_0_115,plain,
    ! [X377,X378,X379,X380,X381] :
      ( midp(X381,X379,X380)
      | ~ para(X377,X380,X378,X379)
      | ~ para(X377,X379,X378,X380)
      | ~ midp(X381,X377,X378) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ perp(X1,X2,esk21_0,esk23_0)
    | para(X1,X2,esk30_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_105]) ).

cnf(c_0_117,negated_conjecture,
    perp(esk30_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_105]) ).

fof(c_0_118,plain,
    ! [X390,X391,X392] :
      ( midp(X390,X391,X392)
      | ~ coll(X390,X391,X392)
      | ~ cong(X390,X391,X390,X392) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ perp(esk23_0,X1,X1,esk21_0)
    | cong(esk23_0,esk30_0,X1,esk30_0) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_120,negated_conjecture,
    perp(esk23_0,esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_44,c_0_108]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk30_0,esk23_0,esk30_0),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_122,negated_conjecture,
    coll(esk27_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_123,negated_conjecture,
    coll(esk21_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_71,c_0_113]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ perp(X1,X2,esk26_0,esk27_0)
    | para(X1,X2,esk24_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_114]) ).

cnf(c_0_125,plain,
    ( ~ para(X2,X5,X3,X4)
    | ~ para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_126,negated_conjecture,
    para(esk30_0,esk24_0,esk30_0,esk24_0),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_127,plain,
    ( ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_128,negated_conjecture,
    cong(esk23_0,esk30_0,esk23_0,esk30_0),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_129,negated_conjecture,
    coll(esk23_0,esk30_0,esk30_0),
    inference(spm,[status(thm)],[c_0_35,c_0_121]) ).

cnf(c_0_130,negated_conjecture,
    coll(esk25_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_88]) ).

cnf(c_0_131,negated_conjecture,
    coll(esk25_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_35,c_0_122]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ coll(esk21_0,esk25_0,X1)
    | coll(X1,esk23_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_80]) ).

cnf(c_0_133,negated_conjecture,
    coll(esk21_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_29,c_0_123]) ).

cnf(c_0_134,negated_conjecture,
    para(esk24_0,esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_124,c_0_45]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ midp(X1,esk30_0,esk30_0)
    | midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_126])]) ).

cnf(c_0_136,negated_conjecture,
    midp(esk23_0,esk30_0,esk30_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ coll(esk25_0,esk25_0,X1)
    | coll(X1,esk21_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_130]) ).

cnf(c_0_138,negated_conjecture,
    coll(esk25_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_29,c_0_131]) ).

cnf(c_0_139,negated_conjecture,
    coll(esk26_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_140,negated_conjecture,
    para(esk26_0,esk27_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_53,c_0_114]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ midp(X1,esk24_0,esk24_0)
    | midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_134]),c_0_134])]) ).

cnf(c_0_142,negated_conjecture,
    midp(esk23_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_143,negated_conjecture,
    coll(esk27_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk23_0,esk21_0,esk30_0),
    inference(spm,[status(thm)],[c_0_35,c_0_84]) ).

cnf(c_0_145,negated_conjecture,
    coll(esk23_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_139]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ midp(X1,esk26_0,esk26_0)
    | midp(X1,esk27_0,esk27_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_140]),c_0_140])]) ).

cnf(c_0_147,negated_conjecture,
    midp(esk23_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_148,negated_conjecture,
    coll(esk21_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_35,c_0_143]) ).

fof(c_0_149,plain,
    ! [X148,X149,X150,X151,X152,X153] :
      ( cong(X148,X149,X152,X153)
      | ~ cong(X150,X151,X152,X153)
      | ~ cong(X148,X149,X150,X151) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ coll(esk23_0,esk21_0,X1)
    | coll(X1,esk30_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_144]) ).

cnf(c_0_151,negated_conjecture,
    coll(esk23_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_29,c_0_145]) ).

fof(c_0_152,plain,
    ! [X140,X141,X142,X143] :
      ( cong(X140,X141,X143,X142)
      | ~ cong(X140,X141,X142,X143) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).

cnf(c_0_153,negated_conjecture,
    midp(esk23_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_154,negated_conjecture,
    coll(esk21_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_29,c_0_148]) ).

cnf(c_0_155,plain,
    ( ~ cong(X3,X4,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_156,negated_conjecture,
    coll(esk23_0,esk23_0,esk30_0),
    inference(spm,[status(thm)],[c_0_109,c_0_30]) ).

cnf(c_0_157,negated_conjecture,
    coll(esk26_0,esk30_0,esk23_0),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

fof(c_0_158,plain,
    ! [X144,X145,X146,X147] :
      ( cong(X146,X147,X144,X145)
      | ~ cong(X144,X145,X146,X147) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).

cnf(c_0_159,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_160,negated_conjecture,
    cong(esk23_0,esk27_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_69,c_0_153]) ).

cnf(c_0_161,negated_conjecture,
    coll(esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_66,c_0_60]) ).

cnf(c_0_162,negated_conjecture,
    coll(esk27_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_132,c_0_154]) ).

fof(c_0_163,plain,
    ! [X372,X373,X374,X375,X376] :
      ( para(X372,X374,X373,X375)
      | ~ midp(X376,X374,X375)
      | ~ midp(X376,X372,X373) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ cong(X1,X2,esk30_0,esk21_0)
    | cong(X1,X2,esk30_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_155,c_0_76]) ).

cnf(c_0_165,negated_conjecture,
    cong(esk30_0,esk23_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_69,c_0_107]) ).

cnf(c_0_166,negated_conjecture,
    coll(esk23_0,esk30_0,esk23_0),
    inference(spm,[status(thm)],[c_0_29,c_0_156]) ).

cnf(c_0_167,negated_conjecture,
    cong(esk23_0,esk26_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_69,c_0_147]) ).

cnf(c_0_168,negated_conjecture,
    coll(esk26_0,esk23_0,esk30_0),
    inference(spm,[status(thm)],[c_0_29,c_0_157]) ).

cnf(c_0_169,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_170,negated_conjecture,
    cong(esk23_0,esk27_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_171,negated_conjecture,
    coll(esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_29,c_0_161]) ).

cnf(c_0_172,negated_conjecture,
    coll(esk23_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_162]) ).

cnf(c_0_173,plain,
    ( ~ midp(X1,X4,X5)
    | ~ midp(X1,X2,X3)
    | para(X2,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_174,negated_conjecture,
    cong(esk30_0,esk23_0,esk30_0,esk23_0),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_175,negated_conjecture,
    coll(esk30_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_35,c_0_166]) ).

cnf(c_0_176,negated_conjecture,
    cong(esk23_0,esk26_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_159,c_0_167]) ).

cnf(c_0_177,negated_conjecture,
    coll(esk23_0,esk26_0,esk30_0),
    inference(spm,[status(thm)],[c_0_35,c_0_168]) ).

cnf(c_0_178,negated_conjecture,
    cong(esk27_0,esk23_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ coll(esk23_0,esk21_0,X1)
    | coll(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_171]) ).

cnf(c_0_180,negated_conjecture,
    coll(esk23_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_29,c_0_172]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ midp(esk30_0,X1,X2)
    | para(X1,esk21_0,X2,esk23_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_27]) ).

cnf(c_0_182,negated_conjecture,
    midp(esk30_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_174]),c_0_175])]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ midp(esk30_0,X1,X2)
    | para(X1,esk23_0,X2,esk21_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_107]) ).

cnf(c_0_184,negated_conjecture,
    cong(esk26_0,esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_169,c_0_176]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ coll(esk23_0,esk30_0,X1)
    | coll(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_166]) ).

cnf(c_0_186,negated_conjecture,
    coll(esk23_0,esk30_0,esk26_0),
    inference(spm,[status(thm)],[c_0_29,c_0_177]) ).

fof(c_0_187,plain,
    ! [X282,X283,X284,X285,X286] :
      ( para(X285,X286,X283,X284)
      | ~ midp(X286,X282,X284)
      | ~ midp(X285,X282,X283) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).

cnf(c_0_188,negated_conjecture,
    cong(esk27_0,esk23_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_159,c_0_178]) ).

cnf(c_0_189,negated_conjecture,
    coll(esk27_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_190,negated_conjecture,
    para(esk23_0,esk21_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_191,negated_conjecture,
    para(esk23_0,esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_183,c_0_182]) ).

cnf(c_0_192,negated_conjecture,
    cong(esk26_0,esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_159,c_0_184]) ).

cnf(c_0_193,negated_conjecture,
    coll(esk26_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_194,plain,
    ( ~ midp(X4,X2,X5)
    | ~ midp(X1,X2,X3)
    | para(X1,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_187]) ).

cnf(c_0_195,negated_conjecture,
    midp(esk27_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_188]),c_0_189])]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ midp(X1,esk23_0,esk23_0)
    | midp(X1,esk23_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_190]),c_0_191])]) ).

cnf(c_0_197,negated_conjecture,
    midp(esk26_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_192]),c_0_193])]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ midp(X1,esk23_0,X2)
    | para(X1,esk27_0,X2,esk23_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_199,negated_conjecture,
    midp(esk26_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_200,negated_conjecture,
    ~ para(esk26_0,esk27_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_201,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO655+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n016.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 20 18:20:37 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.01/1.20  % Version: 3.5.1
% 6.01/1.20  % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.01/1.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.20  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.01/1.20  % Starting new_bool_3 with 300s (1) cores
% 6.01/1.20  % Starting new_bool_1 with 300s (1) cores
% 6.01/1.20  % Starting sh5l with 300s (1) cores
% 6.01/1.20  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 516057 completed with status 0
% 6.01/1.20  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.01/1.20  % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.01/1.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.20  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.01/1.20  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.01/1.20  % No SInE strategy applied
% 6.01/1.20  % Search class: FGUSF-FFLM33-SFFFFFNN
% 6.01/1.20  % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.01/1.20  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.01/1.20  % Starting SubtermCWHack with 136s (1) cores
% 6.01/1.20  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.01/1.20  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.01/1.20  % Starting new_bool_3 with 136s (1) cores
% 6.01/1.20  % Starting new_bool_1 with 136s (1) cores
% 6.01/1.20  % new_bool_1 with pid 516072 completed with status 0
% 6.01/1.20  % Result found by new_bool_1
% 6.01/1.20  % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.01/1.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.20  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.01/1.20  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.01/1.20  % No SInE strategy applied
% 6.01/1.20  % Search class: FGUSF-FFLM33-SFFFFFNN
% 6.01/1.20  % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.01/1.20  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.01/1.20  % Starting SubtermCWHack with 136s (1) cores
% 6.01/1.20  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.01/1.20  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.01/1.20  % Starting new_bool_3 with 136s (1) cores
% 6.01/1.20  % Starting new_bool_1 with 136s (1) cores
% 6.01/1.20  % Preprocessing time       : 0.003 s
% 6.01/1.20  % Presaturation interreduction done
% 6.01/1.20  
% 6.01/1.20  % Proof found!
% 6.01/1.20  % SZS status Theorem
% 6.01/1.20  % SZS output start CNFRefutation
% See solution above
% 6.01/1.20  % Parsed axioms                        : 95
% 6.01/1.20  % Removed by relevancy pruning/SinE    : 0
% 6.01/1.20  % Initial clauses                      : 125
% 6.01/1.20  % Removed in clause preprocessing      : 0
% 6.01/1.20  % Initial clauses in saturation        : 125
% 6.01/1.20  % Processed clauses                    : 4827
% 6.01/1.20  % ...of these trivial                  : 454
% 6.01/1.20  % ...subsumed                          : 43
% 6.01/1.20  % ...remaining for further processing  : 4330
% 6.01/1.20  % Other redundant clauses eliminated   : 0
% 6.01/1.20  % Clauses deleted for lack of memory   : 0
% 6.01/1.20  % Backward-subsumed                    : 0
% 6.01/1.20  % Backward-rewritten                   : 0
% 6.01/1.20  % Generated clauses                    : 33484
% 6.01/1.20  % ...of the previous two non-redundant : 19392
% 6.01/1.20  % ...aggressively subsumed             : 0
% 6.01/1.20  % Contextual simplify-reflections      : 6
% 6.01/1.20  % Paramodulations                      : 33484
% 6.01/1.20  % Factorizations                       : 0
% 6.01/1.20  % NegExts                              : 0
% 6.01/1.20  % Equation resolutions                 : 0
% 6.01/1.20  % Disequality decompositions           : 0
% 6.01/1.20  % Total rewrite steps                  : 15860
% 6.01/1.20  % ...of those cached                   : 13718
% 6.01/1.20  % Propositional unsat checks           : 0
% 6.01/1.20  %    Propositional check models        : 0
% 6.01/1.20  %    Propositional check unsatisfiable : 0
% 6.01/1.20  %    Propositional clauses             : 0
% 6.01/1.20  %    Propositional clauses after purity: 0
% 6.01/1.20  %    Propositional unsat core size     : 0
% 6.01/1.20  %    Propositional preprocessing time  : 0.000
% 6.01/1.20  %    Propositional encoding time       : 0.000
% 6.01/1.20  %    Propositional solver time         : 0.000
% 6.01/1.20  %    Success case prop preproc time    : 0.000
% 6.01/1.20  %    Success case prop encoding time   : 0.000
% 6.01/1.20  %    Success case prop solver time     : 0.000
% 6.01/1.20  % Current number of processed clauses  : 4206
% 6.01/1.20  %    Positive orientable unit clauses  : 2305
% 6.01/1.20  %    Positive unorientable unit clauses: 0
% 6.01/1.20  %    Negative unit clauses             : 1
% 6.01/1.20  %    Non-unit-clauses                  : 1900
% 6.01/1.20  % Current number of unprocessed clauses: 14803
% 6.01/1.20  % ...number of literals in the above   : 29377
% 6.01/1.20  % Current number of archived formulas  : 0
% 6.01/1.20  % Current number of archived clauses   : 124
% 6.01/1.20  % Clause-clause subsumption calls (NU) : 310050
% 6.01/1.20  % Rec. Clause-clause subsumption calls : 278594
% 6.01/1.20  % Non-unit clause-clause subsumptions  : 49
% 6.01/1.20  % Unit Clause-clause subsumption calls : 541385
% 6.01/1.20  % Rewrite failures with RHS unbound    : 0
% 6.01/1.20  % BW rewrite match attempts            : 11866
% 6.01/1.20  % BW rewrite match successes           : 0
% 6.01/1.20  % Condensation attempts                : 0
% 6.01/1.20  % Condensation successes               : 0
% 6.01/1.20  % Termbank termtop insertions          : 387365
% 6.01/1.20  % Search garbage collected termcells   : 2872
% 6.01/1.20  
% 6.01/1.20  % -------------------------------------------------
% 6.01/1.20  % User time                : 0.672 s
% 6.01/1.20  % System time              : 0.035 s
% 6.01/1.20  % Total time               : 0.707 s
% 6.01/1.20  % Maximum resident set size: 4052 pages
% 6.01/1.20  
% 6.01/1.20  % -------------------------------------------------
% 6.01/1.20  % User time                : 3.386 s
% 6.01/1.20  % System time              : 0.144 s
% 6.01/1.20  % Total time               : 3.531 s
% 6.01/1.20  % Maximum resident set size: 4864 pages
% 6.01/1.20  % E exiting
%------------------------------------------------------------------------------