TSTP Solution File: GEO597+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO597+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 : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 22:48:47 EDT 2023

% Result   : Theorem 0.60s 0.74s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   69
% Syntax   : Number of formulae    :  231 (  68 unt;  38 typ;   0 def)
%            Number of atoms       :  383 (   0 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  324 ( 134   ~; 131   |;  27   &)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   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    :   27 (  27 usr;   7 con; 0-6 aty)
%            Number of variables   :  652 (  59 sgn; 324   !;   2   ?;   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 ).

fof(exemplo6GDDFULL416059,conjecture,
    ! [X1,X2,X3,X8,X7,X17,X19] :
      ( ( circle(X8,X1,X2,X3)
        & midp(X7,X2,X1)
        & coll(X17,X8,X7)
        & circle(X8,X1,X17,X19) )
     => eqangle(X1,X3,X3,X17,X17,X3,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416059) ).

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

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

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

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

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

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

fof(ruleD20,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(c_0_31,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X7,X17,X19] :
        ( ( circle(X8,X1,X2,X3)
          & midp(X7,X2,X1)
          & coll(X17,X8,X7)
          & circle(X8,X1,X17,X19) )
       => eqangle(X1,X3,X3,X17,X17,X3,X3,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416059]) ).

fof(c_0_32,plain,
    ! [X393,X394,X395] :
      ( ~ midp(X393,X394,X395)
      | coll(X393,X394,X395) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_33,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & midp(esk25_0,esk22_0,esk21_0)
    & coll(esk26_0,esk24_0,esk25_0)
    & circle(esk24_0,esk21_0,esk26_0,esk27_0)
    & ~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).

fof(c_0_34,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( ~ perp(X52,X53,X54,X55)
      | ~ perp(X54,X55,X56,X57)
      | para(X52,X53,X56,X57) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_35,plain,
    ! [X494,X495,X496,X497] :
      ( ~ circle(X497,X494,X495,X496)
      | perp(esk12_4(X494,X495,X496,X497),X494,X494,X497) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_36,plain,
    ! [X48,X49,X50,X51] :
      ( ~ perp(X48,X49,X50,X51)
      | perp(X50,X51,X48,X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_37,plain,
    ! [X26,X27,X28,X29] :
      ( ~ coll(X26,X27,X28)
      | ~ coll(X26,X27,X29)
      | coll(X28,X29,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_38,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    midp(esk25_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_42,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_43,plain,
    ! [X390,X391,X392] :
      ( ~ midp(X390,X391,X392)
      | cong(X390,X391,X390,X392) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

fof(c_0_44,plain,
    ! [X64,X65,X66] :
      ( ~ midp(X66,X65,X64)
      | midp(X66,X64,X65) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_45,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    coll(esk25_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,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_40,c_0_41]) ).

cnf(c_0_48,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_42,c_0_41]) ).

fof(c_0_49,plain,
    ! [X145,X146,X147,X148,X149,X150] :
      ( ~ cong(X145,X146,X147,X148)
      | ~ cong(X147,X148,X149,X150)
      | cong(X145,X146,X149,X150) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_50,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_51,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_52,plain,
    ! [X20,X21,X22] :
      ( ~ coll(X20,X21,X22)
      | coll(X20,X22,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_53,negated_conjecture,
    ( coll(X1,esk21_0,esk25_0)
    | ~ coll(esk25_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_54,plain,
    ! [X374,X375,X376,X377,X378] :
      ( ~ midp(X378,X374,X375)
      | ~ para(X374,X376,X375,X377)
      | ~ para(X374,X377,X375,X376)
      | midp(X378,X376,X377) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_55,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_57,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_58,negated_conjecture,
    cong(esk25_0,esk22_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_50,c_0_39]) ).

cnf(c_0_59,negated_conjecture,
    midp(esk25_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_51,c_0_39]) ).

fof(c_0_60,plain,
    ! [X23,X24,X25] :
      ( ~ coll(X23,X24,X25)
      | coll(X24,X23,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_61,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk21_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_53,c_0_46]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk26_0,esk24_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_64,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_54]) ).

cnf(c_0_65,negated_conjecture,
    para(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_66,plain,
    ! [X387,X388,X389] :
      ( ~ cong(X387,X388,X387,X389)
      | ~ coll(X387,X388,X389)
      | midp(X387,X388,X389) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_67,negated_conjecture,
    ( cong(X1,X2,esk25_0,esk21_0)
    | ~ cong(X1,X2,esk25_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_68,negated_conjecture,
    cong(esk25_0,esk21_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_50,c_0_59]) ).

cnf(c_0_69,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk21_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk26_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_61,c_0_63]) ).

cnf(c_0_72,negated_conjecture,
    ( midp(X1,esk24_0,esk24_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_65])]) ).

cnf(c_0_73,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_74,negated_conjecture,
    cong(esk25_0,esk21_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_75,negated_conjecture,
    coll(esk25_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    ( coll(X1,esk24_0,esk26_0)
    | ~ coll(esk26_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_71]) ).

fof(c_0_77,plain,
    ! [X137,X138,X139,X140] :
      ( ~ cong(X137,X138,X139,X140)
      | cong(X137,X138,X140,X139) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_78,negated_conjecture,
    ( cong(X1,esk24_0,X1,esk24_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_72]) ).

cnf(c_0_79,negated_conjecture,
    midp(esk25_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk24_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_69,c_0_63]) ).

cnf(c_0_81,negated_conjecture,
    coll(esk24_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_76,c_0_71]) ).

fof(c_0_82,plain,
    ! [X141,X142,X143,X144] :
      ( ~ cong(X141,X142,X143,X144)
      | cong(X143,X144,X141,X142) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_83,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    cong(esk25_0,esk24_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_85,negated_conjecture,
    ( coll(X1,esk25_0,esk24_0)
    | ~ coll(esk24_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_80]) ).

fof(c_0_86,plain,
    ! [X369,X370,X371,X372,X373] :
      ( ~ midp(X373,X369,X370)
      | ~ midp(X373,X371,X372)
      | para(X369,X371,X370,X372) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

fof(c_0_87,plain,
    ! [X460,X461,X462,X463,X464,X465] :
      ( ( midp(esk6_6(X460,X461,X462,X463,X464,X465),X460,X463)
        | ~ midp(X464,X460,X461)
        | ~ midp(X465,X462,X463) )
      & ( para(esk6_6(X460,X461,X462,X463,X464,X465),X464,X461,X463)
        | ~ midp(X464,X460,X461)
        | ~ midp(X465,X462,X463) )
      & ( para(esk6_6(X460,X461,X462,X463,X464,X465),X465,X460,X462)
        | ~ midp(X464,X460,X461)
        | ~ midp(X465,X462,X463) ) ),
    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_88,negated_conjecture,
    coll(esk24_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_61,c_0_81]) ).

cnf(c_0_89,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_90,negated_conjecture,
    cong(esk25_0,esk24_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_91,negated_conjecture,
    coll(esk25_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_85,c_0_80]) ).

cnf(c_0_92,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_93,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_87]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk24_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_85,c_0_88]) ).

cnf(c_0_95,negated_conjecture,
    cong(esk24_0,esk25_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk25_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_61,c_0_91]) ).

cnf(c_0_97,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_92,c_0_93]) ).

cnf(c_0_98,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_51,c_0_93]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk25_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_69,c_0_94]) ).

cnf(c_0_100,negated_conjecture,
    cong(esk24_0,esk25_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_83,c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk24_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_69,c_0_96]) ).

cnf(c_0_102,plain,
    ( para(X1,X2,X2,X1)
    | ~ midp(X3,X4,X1)
    | ~ midp(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_103,negated_conjecture,
    midp(esk25_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_84]),c_0_99])]) ).

cnf(c_0_104,negated_conjecture,
    midp(esk24_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_100]),c_0_101])]) ).

fof(c_0_105,plain,
    ! [X30,X31,X32,X33] :
      ( ~ para(X30,X31,X32,X33)
      | para(X30,X31,X33,X32) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_106,negated_conjecture,
    ( para(esk24_0,X1,X1,esk24_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_107,negated_conjecture,
    ( para(esk25_0,X1,X1,esk25_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_104]) ).

fof(c_0_108,plain,
    ! [X101,X102,X103,X104,X105,X106,X107,X108] :
      ( ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108)
      | eqangle(X103,X104,X101,X102,X107,X108,X105,X106) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_109,plain,
    ! [X255,X256,X257,X258,X259,X260] :
      ( ~ para(X255,X256,X257,X258)
      | eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_110,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    para(esk24_0,esk25_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_106,c_0_104]) ).

cnf(c_0_112,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(esk26_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_63]) ).

cnf(c_0_113,negated_conjecture,
    para(esk25_0,esk24_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_107,c_0_103]) ).

fof(c_0_114,plain,
    ! [X249,X250,X251,X252,X253,X254] :
      ( ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254)
      | para(X249,X250,X251,X252) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_115,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_108]) ).

cnf(c_0_116,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_117,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_97,c_0_93]) ).

cnf(c_0_118,negated_conjecture,
    para(esk24_0,esk25_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_112,c_0_63]) ).

cnf(c_0_120,negated_conjecture,
    para(esk25_0,esk24_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_110,c_0_113]) ).

cnf(c_0_121,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_122,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_123,negated_conjecture,
    ( para(X1,X1,esk25_0,esk25_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_117,c_0_104]) ).

cnf(c_0_124,negated_conjecture,
    ( midp(X1,esk25_0,esk25_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_118]),c_0_118])]) ).

cnf(c_0_125,negated_conjecture,
    coll(esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_61,c_0_119]) ).

fof(c_0_126,plain,
    ! [X426,X427,X428,X429,X430,X431,X432,X433] :
      ( ~ eqratio(X426,X427,X428,X429,X430,X431,X432,X433)
      | ~ cong(X430,X431,X432,X433)
      | cong(X426,X427,X428,X429) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_127,plain,
    ! [X396,X397,X398,X399,X400,X401] :
      ( ~ midp(X400,X396,X397)
      | ~ midp(X401,X398,X399)
      | eqratio(X400,X396,X396,X397,X401,X398,X398,X399) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_128,negated_conjecture,
    ( midp(X1,esk24_0,esk24_0)
    | ~ midp(X1,esk25_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_120]),c_0_120])]) ).

cnf(c_0_129,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_130,negated_conjecture,
    para(esk25_0,esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_123,c_0_104]) ).

cnf(c_0_131,negated_conjecture,
    ( cong(X1,esk25_0,X1,esk25_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_124]) ).

cnf(c_0_132,negated_conjecture,
    ( coll(X1,esk25_0,esk25_0)
    | ~ coll(esk25_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_125]) ).

cnf(c_0_133,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_126]) ).

cnf(c_0_134,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_127]) ).

cnf(c_0_135,negated_conjecture,
    midp(esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_128,c_0_104]) ).

cnf(c_0_136,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_137,negated_conjecture,
    cong(esk25_0,esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_131,c_0_103]) ).

cnf(c_0_138,negated_conjecture,
    coll(esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_132,c_0_125]) ).

cnf(c_0_139,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_133,c_0_134]) ).

cnf(c_0_140,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_135]) ).

cnf(c_0_141,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_136]),c_0_136])]) ).

cnf(c_0_142,negated_conjecture,
    midp(esk25_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_137]),c_0_138])]) ).

fof(c_0_143,plain,
    ! [X384,X385,X386] :
      ( ~ para(X384,X385,X384,X386)
      | coll(X384,X385,X386) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_144,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_139,c_0_140]),c_0_135])]) ).

cnf(c_0_145,negated_conjecture,
    midp(esk25_0,X1,X1),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_146,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

fof(c_0_147,plain,
    ! [X410,X411,X412,X413,X414,X415,X416,X417] :
      ( ~ eqangle(X410,X411,X412,X413,X414,X415,X416,X417)
      | ~ para(X414,X415,X416,X417)
      | para(X410,X411,X412,X413) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

fof(c_0_148,plain,
    ! [X289,X290,X291] :
      ( ~ cong(X291,X289,X291,X290)
      | eqangle(X291,X289,X289,X290,X289,X290,X291,X290) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_149,negated_conjecture,
    cong(esk25_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_150,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_146,c_0_136]) ).

cnf(c_0_151,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_147]) ).

cnf(c_0_152,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_153,negated_conjecture,
    cong(X1,X1,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_89,c_0_149]) ).

cnf(c_0_154,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_69,c_0_150]) ).

cnf(c_0_155,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_156,negated_conjecture,
    cong(X1,X1,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_83,c_0_153]) ).

cnf(c_0_157,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_61,c_0_154]) ).

cnf(c_0_158,negated_conjecture,
    para(X1,X1,X1,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_136])]) ).

cnf(c_0_159,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_157]),c_0_157])]) ).

cnf(c_0_160,negated_conjecture,
    para(X1,X1,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_110,c_0_158]) ).

cnf(c_0_161,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_159])]) ).

cnf(c_0_162,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X2,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_160]),c_0_160])]) ).

cnf(c_0_163,negated_conjecture,
    midp(X1,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_161,c_0_156]) ).

cnf(c_0_164,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_165,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_141,c_0_164]) ).

cnf(c_0_166,negated_conjecture,
    cong(X1,X2,X2,X2),
    inference(spm,[status(thm)],[c_0_144,c_0_165]) ).

fof(c_0_167,plain,
    ! [X34,X35,X36,X37] :
      ( ~ para(X34,X35,X36,X37)
      | para(X36,X37,X34,X35) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_168,negated_conjecture,
    cong(X1,X1,X2,X1),
    inference(spm,[status(thm)],[c_0_89,c_0_166]) ).

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

cnf(c_0_170,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_121,c_0_152]) ).

cnf(c_0_171,negated_conjecture,
    cong(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_83,c_0_168]) ).

cnf(c_0_172,plain,
    ( para(X1,X2,X1,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

fof(c_0_173,plain,
    ! [X279,X280,X281,X282,X283] :
      ( ~ midp(X282,X279,X280)
      | ~ midp(X283,X279,X281)
      | para(X282,X283,X280,X281) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_174,plain,
    para(X1,X1,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).

cnf(c_0_175,plain,
    para(X1,X2,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_171])]) ).

fof(c_0_176,plain,
    ! [X109,X110,X111,X112,X113,X114,X115,X116] :
      ( ~ eqangle(X109,X110,X111,X112,X113,X114,X115,X116)
      | eqangle(X113,X114,X115,X116,X109,X110,X111,X112) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_177,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_178,plain,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_174]),c_0_165]),c_0_175])]) ).

cnf(c_0_179,plain,
    ( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

fof(c_0_180,plain,
    ! [X117,X118,X119,X120,X121,X122,X123,X124] :
      ( ~ eqangle(X117,X118,X119,X120,X121,X122,X123,X124)
      | eqangle(X117,X118,X121,X122,X119,X120,X123,X124) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_181,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178]),c_0_178])]) ).

cnf(c_0_182,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_179,c_0_116]) ).

fof(c_0_183,plain,
    ! [X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136] :
      ( ~ eqangle(X125,X126,X127,X128,X129,X130,X131,X132)
      | ~ eqangle(X129,X130,X131,X132,X133,X134,X135,X136)
      | eqangle(X125,X126,X127,X128,X133,X134,X135,X136) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_184,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_180]) ).

cnf(c_0_185,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_181])]) ).

cnf(c_0_186,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_181])]) ).

cnf(c_0_187,plain,
    ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_183]) ).

cnf(c_0_188,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_189,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_184,c_0_186]) ).

cnf(c_0_190,negated_conjecture,
    ~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_191,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189])]) ).

cnf(c_0_192,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO597+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 29 22:02:17 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.17/0.50  start to proof: theBenchmark
% 0.60/0.74  % Version  : CSE_E---1.5
% 0.60/0.74  % Problem  : theBenchmark.p
% 0.60/0.74  % Proof found
% 0.60/0.74  % SZS status Theorem for theBenchmark.p
% 0.60/0.74  % SZS output start Proof
% See solution above
% 0.60/0.75  % Total time : 0.228000 s
% 0.60/0.75  % SZS output end Proof
% 0.60/0.75  % Total time : 0.233000 s
%------------------------------------------------------------------------------