TSTP Solution File: GEO568+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO568+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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 : Wed Aug 30 22:48:40 EDT 2023

% Result   : Theorem 0.86s 0.91s
% Output   : CNFRefutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  214 (  60 unt;  40 typ;   0 def)
%            Number of atoms       :  381 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  341 ( 134   ~; 131   |;  47   &)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  138 (  31   >; 107   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-8 aty)
%            Number of functors    :   29 (  29 usr;   9 con; 0-6 aty)
%            Number of variables   :  557 (  48 sgn; 274   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    coll: ( $i * $i * $i ) > $o ).

tff(decl_23,type,
    para: ( $i * $i * $i * $i ) > $o ).

tff(decl_24,type,
    perp: ( $i * $i * $i * $i ) > $o ).

tff(decl_25,type,
    midp: ( $i * $i * $i ) > $o ).

tff(decl_26,type,
    cong: ( $i * $i * $i * $i ) > $o ).

tff(decl_27,type,
    circle: ( $i * $i * $i * $i ) > $o ).

tff(decl_28,type,
    cyclic: ( $i * $i * $i * $i ) > $o ).

tff(decl_29,type,
    eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_30,type,
    eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_31,type,
    simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_32,type,
    contri: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_33,type,
    esk1_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_34,type,
    esk2_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_35,type,
    esk3_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_36,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_37,type,
    esk5_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_39,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_40,type,
    esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_41,type,
    esk9_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_45,type,
    esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_46,type,
    esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_48,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    esk17_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_50,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_51,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk21_0: $i ).

tff(decl_54,type,
    esk22_0: $i ).

tff(decl_55,type,
    esk23_0: $i ).

tff(decl_56,type,
    esk24_0: $i ).

tff(decl_57,type,
    esk25_0: $i ).

tff(decl_58,type,
    esk26_0: $i ).

tff(decl_59,type,
    esk27_0: $i ).

tff(decl_60,type,
    esk28_0: $i ).

tff(decl_61,type,
    esk29_0: $i ).

fof(exemplo6GDDFULL214030,conjecture,
    ! [X1,X2,X3,X8,X4,X5,X19,X20,X21] :
      ( ( midp(X19,X1,X2)
        & perp(X1,X2,X19,X8)
        & midp(X20,X1,X3)
        & perp(X1,X3,X20,X8)
        & midp(X21,X2,X3)
        & perp(X2,X3,X21,X8)
        & perp(X4,X3,X1,X2)
        & coll(X4,X1,X2)
        & perp(X5,X2,X1,X3)
        & coll(X5,X1,X3) )
     => perp(X1,X8,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214030) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

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

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

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

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

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(c_0_28,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X4,X5,X19,X20,X21] :
        ( ( midp(X19,X1,X2)
          & perp(X1,X2,X19,X8)
          & midp(X20,X1,X3)
          & perp(X1,X3,X20,X8)
          & midp(X21,X2,X3)
          & perp(X2,X3,X21,X8)
          & perp(X4,X3,X1,X2)
          & coll(X4,X1,X2)
          & perp(X5,X2,X1,X3)
          & coll(X5,X1,X3) )
       => perp(X1,X8,X4,X5) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL214030]) ).

fof(c_0_29,plain,
    ! [X395,X396,X397] :
      ( ~ midp(X395,X396,X397)
      | coll(X395,X396,X397) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_30,negated_conjecture,
    ( midp(esk27_0,esk21_0,esk22_0)
    & perp(esk21_0,esk22_0,esk27_0,esk24_0)
    & midp(esk28_0,esk21_0,esk23_0)
    & perp(esk21_0,esk23_0,esk28_0,esk24_0)
    & midp(esk29_0,esk22_0,esk23_0)
    & perp(esk22_0,esk23_0,esk29_0,esk24_0)
    & perp(esk25_0,esk23_0,esk21_0,esk22_0)
    & coll(esk25_0,esk21_0,esk22_0)
    & perp(esk26_0,esk22_0,esk21_0,esk23_0)
    & coll(esk26_0,esk21_0,esk23_0)
    & ~ perp(esk21_0,esk24_0,esk25_0,esk26_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).

fof(c_0_31,plain,
    ! [X66,X67,X68] :
      ( ~ midp(X68,X67,X66)
      | midp(X68,X66,X67) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_32,plain,
    ! [X25,X26,X27] :
      ( ~ coll(X25,X26,X27)
      | coll(X26,X25,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_33,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    midp(esk29_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_35,plain,
    ! [X371,X372,X373,X374,X375] :
      ( ~ midp(X375,X371,X372)
      | ~ midp(X375,X373,X374)
      | para(X371,X373,X372,X374) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

fof(c_0_36,plain,
    ! [X462,X463,X464,X465,X466,X467] :
      ( ( midp(esk6_6(X462,X463,X464,X465,X466,X467),X462,X465)
        | ~ midp(X466,X462,X463)
        | ~ midp(X467,X464,X465) )
      & ( para(esk6_6(X462,X463,X464,X465,X466,X467),X466,X463,X465)
        | ~ midp(X466,X462,X463)
        | ~ midp(X467,X464,X465) )
      & ( para(esk6_6(X462,X463,X464,X465,X466,X467),X467,X462,X464)
        | ~ midp(X466,X462,X463)
        | ~ midp(X467,X464,X465) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).

fof(c_0_37,plain,
    ! [X392,X393,X394] :
      ( ~ midp(X392,X393,X394)
      | cong(X392,X393,X392,X394) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_38,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_39,plain,
    ! [X22,X23,X24] :
      ( ~ coll(X22,X23,X24)
      | coll(X22,X24,X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_40,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    coll(esk29_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_42,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,plain,
    ( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_44,plain,
    ! [X139,X140,X141,X142] :
      ( ~ cong(X139,X140,X141,X142)
      | cong(X139,X140,X142,X141) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_45,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    midp(esk29_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_38,c_0_34]) ).

fof(c_0_47,plain,
    ! [X28,X29,X30,X31] :
      ( ~ coll(X28,X29,X30)
      | ~ coll(X28,X29,X31)
      | coll(X30,X31,X28) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_48,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk22_0,esk29_0,esk23_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_50,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
    | ~ midp(X8,X6,X4)
    | ~ midp(X7,X2,X5) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_51,plain,
    ( midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1)
    | ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_43]) ).

fof(c_0_52,plain,
    ! [X147,X148,X149,X150,X151,X152] :
      ( ~ cong(X147,X148,X149,X150)
      | ~ cong(X149,X150,X151,X152)
      | cong(X147,X148,X151,X152) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

fof(c_0_53,plain,
    ! [X143,X144,X145,X146] :
      ( ~ cong(X143,X144,X145,X146)
      | cong(X145,X146,X143,X144) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_54,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_55,negated_conjecture,
    cong(esk29_0,esk23_0,esk29_0,esk22_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_56,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk22_0,esk23_0,esk29_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_58,plain,
    ( para(X1,X2,X2,X1)
    | ~ midp(X3,X4,X1)
    | ~ midp(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_59,negated_conjecture,
    coll(esk29_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_48,c_0_41]) ).

fof(c_0_60,plain,
    ! [X40,X41,X42,X43,X44,X45] :
      ( ~ para(X40,X41,X42,X43)
      | ~ para(X42,X43,X44,X45)
      | para(X40,X41,X44,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

fof(c_0_61,plain,
    ! [X36,X37,X38,X39] :
      ( ~ para(X36,X37,X38,X39)
      | para(X38,X39,X36,X37) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_62,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_63,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_64,negated_conjecture,
    cong(esk29_0,esk23_0,esk22_0,esk29_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_65,negated_conjecture,
    ( coll(X1,esk29_0,esk22_0)
    | ~ coll(esk22_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

fof(c_0_66,plain,
    ! [X32,X33,X34,X35] :
      ( ~ para(X32,X33,X34,X35)
      | para(X32,X33,X35,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_67,negated_conjecture,
    ( para(esk22_0,X1,X1,esk22_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_46]) ).

cnf(c_0_68,negated_conjecture,
    ( coll(X1,esk22_0,esk29_0)
    | ~ coll(esk29_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_59]) ).

cnf(c_0_69,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_70,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_36]) ).

cnf(c_0_71,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    ( cong(X1,X2,esk29_0,esk22_0)
    | ~ cong(X1,X2,esk29_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_55]) ).

cnf(c_0_73,negated_conjecture,
    cong(esk22_0,esk29_0,esk29_0,esk23_0),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk29_0,esk29_0,esk22_0),
    inference(spm,[status(thm)],[c_0_65,c_0_57]) ).

fof(c_0_75,plain,
    ! [X376,X377,X378,X379,X380] :
      ( ~ midp(X380,X376,X377)
      | ~ para(X376,X378,X377,X379)
      | ~ para(X376,X379,X377,X378)
      | midp(X380,X378,X379) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_76,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_77,negated_conjecture,
    para(esk22_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_67,c_0_46]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk22_0,esk22_0,esk29_0),
    inference(spm,[status(thm)],[c_0_68,c_0_59]) ).

cnf(c_0_79,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_69,c_0_70]) ).

cnf(c_0_80,plain,
    ( para(X1,X2,esk6_6(X1,X3,X2,X4,X5,X6),X6)
    | ~ midp(X6,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(spm,[status(thm)],[c_0_71,c_0_70]) ).

fof(c_0_81,plain,
    ! [X389,X390,X391] :
      ( ~ cong(X389,X390,X389,X391)
      | ~ coll(X389,X390,X391)
      | midp(X389,X390,X391) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_82,negated_conjecture,
    cong(esk22_0,esk29_0,esk29_0,esk22_0),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_83,negated_conjecture,
    coll(esk29_0,esk22_0,esk29_0),
    inference(spm,[status(thm)],[c_0_48,c_0_74]) ).

cnf(c_0_84,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_75]) ).

cnf(c_0_85,negated_conjecture,
    para(esk22_0,esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_86,negated_conjecture,
    cong(esk29_0,esk22_0,esk29_0,esk23_0),
    inference(spm,[status(thm)],[c_0_45,c_0_34]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk22_0,esk29_0,esk22_0),
    inference(spm,[status(thm)],[c_0_48,c_0_78]) ).

cnf(c_0_88,plain,
    ( para(X1,X2,X1,X2)
    | ~ midp(X3,X2,X4)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

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

cnf(c_0_90,negated_conjecture,
    cong(esk22_0,esk29_0,esk22_0,esk29_0),
    inference(spm,[status(thm)],[c_0_54,c_0_82]) ).

cnf(c_0_91,negated_conjecture,
    coll(esk22_0,esk29_0,esk29_0),
    inference(spm,[status(thm)],[c_0_40,c_0_83]) ).

cnf(c_0_92,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_85])]) ).

cnf(c_0_93,negated_conjecture,
    cong(esk29_0,esk22_0,esk29_0,esk22_0),
    inference(spm,[status(thm)],[c_0_72,c_0_86]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk29_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_40,c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    ( para(X1,esk23_0,X1,esk23_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_88,c_0_46]) ).

cnf(c_0_96,negated_conjecture,
    midp(esk22_0,esk29_0,esk29_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).

fof(c_0_97,plain,
    ! [X103,X104,X105,X106,X107,X108,X109,X110] :
      ( ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110)
      | eqangle(X105,X106,X103,X104,X109,X110,X107,X108) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_98,plain,
    ! [X257,X258,X259,X260,X261,X262] :
      ( ~ para(X257,X258,X259,X260)
      | eqangle(X257,X258,X261,X262,X259,X260,X261,X262) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_99,negated_conjecture,
    ( cong(X1,esk23_0,X1,esk23_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_92]) ).

cnf(c_0_100,negated_conjecture,
    midp(esk29_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_93]),c_0_94])]) ).

cnf(c_0_101,negated_conjecture,
    ( para(X1,esk22_0,X1,esk22_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_88,c_0_34]) ).

cnf(c_0_102,negated_conjecture,
    para(esk29_0,esk23_0,esk29_0,esk23_0),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

fof(c_0_103,plain,
    ! [X251,X252,X253,X254,X255,X256] :
      ( ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256)
      | para(X251,X252,X253,X254) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_104,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_97]) ).

cnf(c_0_105,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_106,negated_conjecture,
    cong(esk29_0,esk23_0,esk29_0,esk23_0),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_107,negated_conjecture,
    para(esk23_0,esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_101,c_0_46]) ).

cnf(c_0_108,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk29_0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_102]),c_0_102])]) ).

cnf(c_0_109,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_110,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    ( para(esk29_0,X1,X1,esk29_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_96]) ).

cnf(c_0_112,negated_conjecture,
    cong(esk29_0,esk23_0,esk23_0,esk29_0),
    inference(spm,[status(thm)],[c_0_54,c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    ( coll(X1,esk23_0,esk29_0)
    | ~ coll(esk29_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_41]) ).

fof(c_0_114,plain,
    ! [X428,X429,X430,X431,X432,X433,X434,X435] :
      ( ~ eqratio(X428,X429,X430,X431,X432,X433,X434,X435)
      | ~ cong(X432,X433,X434,X435)
      | cong(X428,X429,X430,X431) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_115,plain,
    ! [X398,X399,X400,X401,X402,X403] :
      ( ~ midp(X402,X398,X399)
      | ~ midp(X403,X400,X401)
      | eqratio(X402,X398,X398,X399,X403,X400,X400,X401) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_116,negated_conjecture,
    ( midp(X1,esk22_0,esk22_0)
    | ~ midp(X1,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_107]),c_0_107])]) ).

cnf(c_0_117,negated_conjecture,
    midp(esk22_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_108,c_0_96]) ).

cnf(c_0_118,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_119,negated_conjecture,
    para(esk29_0,esk29_0,esk29_0,esk29_0),
    inference(spm,[status(thm)],[c_0_111,c_0_96]) ).

cnf(c_0_120,negated_conjecture,
    cong(esk23_0,esk29_0,esk29_0,esk23_0),
    inference(spm,[status(thm)],[c_0_63,c_0_112]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk29_0,esk23_0,esk29_0),
    inference(spm,[status(thm)],[c_0_113,c_0_83]) ).

fof(c_0_122,plain,
    ! [X386,X387,X388] :
      ( ~ para(X386,X387,X386,X388)
      | coll(X386,X387,X388) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_123,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_114]) ).

cnf(c_0_124,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_115]) ).

cnf(c_0_125,negated_conjecture,
    midp(esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_126,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_127,negated_conjecture,
    cong(esk23_0,esk29_0,esk23_0,esk29_0),
    inference(spm,[status(thm)],[c_0_54,c_0_120]) ).

cnf(c_0_128,negated_conjecture,
    coll(esk23_0,esk29_0,esk29_0),
    inference(spm,[status(thm)],[c_0_40,c_0_121]) ).

cnf(c_0_129,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_130,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_123,c_0_124]) ).

cnf(c_0_131,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_45,c_0_125]) ).

cnf(c_0_132,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_126]),c_0_126])]) ).

cnf(c_0_133,negated_conjecture,
    midp(esk23_0,esk29_0,esk29_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_127]),c_0_128])]) ).

cnf(c_0_134,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_129,c_0_126]) ).

cnf(c_0_135,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_130,c_0_131]),c_0_125])]) ).

cnf(c_0_136,negated_conjecture,
    midp(esk23_0,X1,X1),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_137,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_40,c_0_134]) ).

fof(c_0_138,plain,
    ! [X412,X413,X414,X415,X416,X417,X418,X419] :
      ( ~ eqangle(X412,X413,X414,X415,X416,X417,X418,X419)
      | ~ para(X416,X417,X418,X419)
      | para(X412,X413,X414,X415) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

fof(c_0_139,plain,
    ! [X291,X292,X293] :
      ( ~ cong(X293,X291,X293,X292)
      | eqangle(X293,X291,X291,X292,X291,X292,X293,X292) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_140,negated_conjecture,
    cong(esk23_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_141,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_137]) ).

fof(c_0_142,plain,
    ! [X286,X287,X288,X289,X290] :
      ( ~ midp(X289,X286,X287)
      | ~ para(X289,X290,X287,X288)
      | ~ coll(X290,X286,X288)
      | midp(X290,X286,X288) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_143,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_138]) ).

cnf(c_0_144,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_145,negated_conjecture,
    cong(X1,X1,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_63,c_0_140]) ).

cnf(c_0_146,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_141]),c_0_141])]) ).

cnf(c_0_147,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_142]) ).

cnf(c_0_148,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_149,negated_conjecture,
    cong(X1,X1,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_54,c_0_145]) ).

cnf(c_0_150,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_146])]) ).

cnf(c_0_151,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_146])]) ).

cnf(c_0_152,negated_conjecture,
    para(X1,X1,X1,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_126])]) ).

cnf(c_0_153,negated_conjecture,
    midp(X1,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_150,c_0_149]) ).

cnf(c_0_154,negated_conjecture,
    ( midp(X1,X2,esk23_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_155,negated_conjecture,
    midp(X1,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_38,c_0_153]) ).

cnf(c_0_156,negated_conjecture,
    midp(X1,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_157,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_151,c_0_126]) ).

cnf(c_0_158,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_132,c_0_156]) ).

cnf(c_0_159,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

fof(c_0_160,plain,
    ! [X281,X282,X283,X284,X285] :
      ( ~ midp(X284,X281,X282)
      | ~ midp(X285,X281,X283)
      | para(X284,X285,X282,X283) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_161,negated_conjecture,
    midp(X1,X2,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_159])]) ).

cnf(c_0_162,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_163,negated_conjecture,
    midp(X1,esk23_0,X2),
    inference(spm,[status(thm)],[c_0_38,c_0_161]) ).

cnf(c_0_164,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_163])]) ).

cnf(c_0_165,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_164]),c_0_164])]) ).

cnf(c_0_166,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_165,c_0_163]) ).

fof(c_0_167,plain,
    ! [X333,X334,X335,X336] :
      ( ~ cong(X333,X335,X334,X335)
      | ~ cong(X333,X336,X334,X336)
      | perp(X333,X334,X335,X336) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_168,negated_conjecture,
    cong(X1,X2,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_166])]) ).

cnf(c_0_169,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_170,negated_conjecture,
    cong(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_54,c_0_168]) ).

cnf(c_0_171,negated_conjecture,
    ~ perp(esk21_0,esk24_0,esk25_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_172,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170]),c_0_170])]) ).

cnf(c_0_173,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO568+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 29 22:29:05 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.19/0.55  start to proof: theBenchmark
% 0.86/0.91  % Version  : CSE_E---1.5
% 0.86/0.91  % Problem  : theBenchmark.p
% 0.86/0.91  % Proof found
% 0.86/0.91  % SZS status Theorem for theBenchmark.p
% 0.86/0.91  % SZS output start Proof
% See solution above
% 0.86/0.93  % Total time : 0.354000 s
% 0.86/0.93  % SZS output end Proof
% 0.86/0.93  % Total time : 0.358000 s
%------------------------------------------------------------------------------