TSTP Solution File: GEO607+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:33:09 EDT 2023

% Result   : Theorem 1.66s 0.66s
% Output   : CNFRefutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  184 (  61 unt;   0 def)
%            Number of atoms       :  368 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  312 ( 128   ~; 125   |;  26   &)
%                                         (   0 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-6 aty)
%            Number of variables   :  548 (  37 sgn; 288   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
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/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD9) ).

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleX11) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD8) ).

fof(exemplo6GDDFULL618069,conjecture,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( midp(X3,X2,X1)
        & perp(X4,X1,X4,X2)
        & circle(X5,X1,X3,X4)
        & circle(X6,X2,X4,X3) )
     => perp(X5,X4,X4,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',exemplo6GDDFULL618069) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD69) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD66) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD1) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD2) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD11) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD3) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD68) ).

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/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD25) ).

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/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD64) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD67) ).

fof(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',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/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleX6) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD23) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD24) ).

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/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',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/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',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/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD39) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD4) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD5) ).

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD42b) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD15) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD14) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD16) ).

fof(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD74) ).

fof(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD41) ).

fof(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X4)
        & cyclic(X1,X2,X3,X5) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD17) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD56) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p',ruleD7) ).

fof(c_0_32,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( ~ perp(X33,X34,X35,X36)
      | ~ perp(X35,X36,X37,X38)
      | para(X33,X34,X37,X38) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_33,plain,
    ! [X144,X145,X146,X147] :
      ( ~ circle(X147,X144,X145,X146)
      | perp(esk16_4(X144,X145,X146,X147),X144,X144,X147) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_34,plain,
    ! [X29,X30,X31,X32] :
      ( ~ perp(X29,X30,X31,X32)
      | perp(X31,X32,X29,X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

cnf(c_0_35,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_36,plain,
    ( perp(esk16_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_37,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_38,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6] :
        ( ( midp(X3,X2,X1)
          & perp(X4,X1,X4,X2)
          & circle(X5,X1,X3,X4)
          & circle(X6,X2,X4,X3) )
       => perp(X5,X4,X4,X6) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL618069]) ).

cnf(c_0_39,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk16_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( perp(X1,X2,esk16_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

fof(c_0_41,negated_conjecture,
    ( midp(esk3_0,esk2_0,esk1_0)
    & perp(esk4_0,esk1_0,esk4_0,esk2_0)
    & circle(esk5_0,esk1_0,esk3_0,esk4_0)
    & circle(esk6_0,esk2_0,esk4_0,esk3_0)
    & ~ perp(esk5_0,esk4_0,esk4_0,esk6_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

fof(c_0_42,plain,
    ! [X197,X198,X199] :
      ( ~ midp(X197,X198,X199)
      | coll(X197,X198,X199) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_43,plain,
    ! [X248,X249,X250] :
      ( ~ para(X248,X249,X248,X250)
      | coll(X248,X249,X250) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_44,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    circle(esk6_0,esk2_0,esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_46,plain,
    ! [X335,X336,X337] :
      ( ~ coll(X335,X336,X337)
      | coll(X335,X337,X336) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_47,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    midp(esk3_0,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_49,plain,
    ! [X338,X339,X340] :
      ( ~ coll(X338,X339,X340)
      | coll(X339,X338,X340) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

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

cnf(c_0_51,negated_conjecture,
    para(esk2_0,esk6_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

fof(c_0_52,plain,
    ! [X168,X169,X170] :
      ( ~ midp(X170,X169,X168)
      | midp(X170,X168,X169) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_53,plain,
    ! [X341,X342,X343,X344] :
      ( ~ coll(X341,X342,X343)
      | ~ coll(X341,X342,X344)
      | coll(X343,X344,X341) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_54,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_56,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk2_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_58,plain,
    ! [X194,X195,X196] :
      ( ~ midp(X194,X195,X196)
      | cong(X194,X195,X194,X196) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_59,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_60,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    coll(esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk6_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

fof(c_0_63,plain,
    ! [X274,X275,X276,X277,X278,X279] :
      ( ~ cong(X274,X275,X276,X277)
      | ~ cong(X276,X277,X278,X279)
      | cong(X274,X275,X278,X279) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_64,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_65,negated_conjecture,
    midp(esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_59,c_0_48]) ).

cnf(c_0_66,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk6_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_62]) ).

fof(c_0_68,plain,
    ! [X186,X187,X188,X189,X190] :
      ( ~ midp(X190,X186,X187)
      | ~ para(X186,X188,X187,X189)
      | ~ para(X186,X189,X187,X188)
      | midp(X190,X188,X189) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_69,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    cong(esk3_0,esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_66,c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    ( coll(X1,esk2_0,esk6_0)
    | ~ coll(esk6_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_67]) ).

cnf(c_0_73,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_68]) ).

fof(c_0_74,plain,
    ! [X191,X192,X193] :
      ( ~ cong(X191,X192,X191,X193)
      | ~ coll(X191,X192,X193)
      | midp(X191,X192,X193) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_75,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk2_0)
    | ~ cong(X1,X2,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    cong(esk3_0,esk2_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_64,c_0_48]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk2_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_71]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk2_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_56,c_0_55]) ).

cnf(c_0_79,negated_conjecture,
    ( coll(X1,esk3_0,esk2_0)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_71]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk2_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_72,c_0_67]) ).

cnf(c_0_81,negated_conjecture,
    ( midp(X1,esk6_0,esk6_0)
    | ~ midp(X1,esk2_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_51]),c_0_51])]) ).

cnf(c_0_82,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_83,negated_conjecture,
    cong(esk3_0,esk2_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk3_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_56,c_0_77]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk2_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_78]) ).

fof(c_0_86,plain,
    ! [X181,X182,X183,X184,X185] :
      ( ~ midp(X185,X181,X182)
      | ~ midp(X185,X183,X184)
      | para(X181,X183,X182,X184) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

fof(c_0_87,plain,
    ! [X200,X201,X202,X203,X204,X205] :
      ( ( midp(esk21_6(X200,X201,X202,X203,X204,X205),X200,X203)
        | ~ midp(X204,X200,X201)
        | ~ midp(X205,X202,X203) )
      & ( para(esk21_6(X200,X201,X202,X203,X204,X205),X204,X201,X203)
        | ~ midp(X204,X200,X201)
        | ~ midp(X205,X202,X203) )
      & ( para(esk21_6(X200,X201,X202,X203,X204,X205),X205,X200,X202)
        | ~ midp(X204,X200,X201)
        | ~ midp(X205,X202,X203) ) ),
    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(esk6_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

fof(c_0_89,plain,
    ! [X266,X267,X268,X269] :
      ( ~ cong(X266,X267,X268,X269)
      | cong(X266,X267,X269,X268) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_90,negated_conjecture,
    ( cong(X1,esk6_0,X1,esk6_0)
    | ~ midp(X1,esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_81]) ).

cnf(c_0_91,negated_conjecture,
    midp(esk3_0,esk2_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).

cnf(c_0_92,negated_conjecture,
    ( coll(X1,esk3_0,esk2_0)
    | ~ coll(esk2_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_85]) ).

cnf(c_0_93,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_94,plain,
    ( midp(esk21_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_95,negated_conjecture,
    ( coll(X1,esk6_0,esk6_0)
    | ~ coll(esk6_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_62]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk6_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_88]) ).

fof(c_0_97,plain,
    ! [X270,X271,X272,X273] :
      ( ~ cong(X270,X271,X272,X273)
      | cong(X272,X273,X270,X271) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_98,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_99,negated_conjecture,
    cong(esk3_0,esk6_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_92,c_0_85]) ).

fof(c_0_101,plain,
    ! [X299,X300,X301,X302,X303,X304,X305,X306] :
      ( ~ eqangle(X299,X300,X301,X302,X303,X304,X305,X306)
      | eqangle(X301,X302,X299,X300,X305,X306,X303,X304) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_102,plain,
    ! [X242,X243,X244,X245,X246,X247] :
      ( ~ para(X242,X243,X244,X245)
      | eqangle(X242,X243,X246,X247,X244,X245,X246,X247) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_103,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(esk21_6(X2,X5,X6,X4,X7,X8),X1,X3)
    | ~ midp(X8,X6,X4)
    | ~ midp(X7,X2,X5) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_104,negated_conjecture,
    coll(esk3_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_105,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_106,negated_conjecture,
    cong(esk3_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_100]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk3_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_56,c_0_88]) ).

fof(c_0_109,plain,
    ! [X236,X237,X238,X239,X240,X241] :
      ( ~ eqangle(X236,X237,X240,X241,X238,X239,X240,X241)
      | para(X236,X237,X238,X239) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_110,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_101]) ).

cnf(c_0_111,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_112,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_103,c_0_94]) ).

cnf(c_0_113,negated_conjecture,
    midp(esk3_0,esk6_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_99]),c_0_104])]) ).

cnf(c_0_114,negated_conjecture,
    cong(esk6_0,esk3_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_115,negated_conjecture,
    ( coll(X1,esk3_0,esk3_0)
    | ~ coll(esk3_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_107]) ).

cnf(c_0_116,negated_conjecture,
    coll(esk3_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_54,c_0_108]) ).

cnf(c_0_117,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_118,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_119,negated_conjecture,
    ( para(X1,X1,esk6_0,esk6_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

fof(c_0_120,plain,
    ! [X222,X223,X224,X225] :
      ( ~ para(X222,X223,X224,X225)
      | para(X222,X223,X225,X224) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_121,plain,
    ( midp(esk21_6(X1,X2,X3,X4,X5,X6),X4,X1)
    | ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_94]) ).

cnf(c_0_122,negated_conjecture,
    cong(esk6_0,esk3_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_98,c_0_114]) ).

cnf(c_0_123,negated_conjecture,
    coll(esk6_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_124,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_125,negated_conjecture,
    para(esk6_0,esk6_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_119,c_0_113]) ).

fof(c_0_126,plain,
    ! [X226,X227,X228,X229] :
      ( ~ para(X226,X227,X228,X229)
      | para(X228,X229,X226,X227) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_127,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_128,plain,
    ( para(X1,X2,X2,X1)
    | ~ midp(X3,X4,X1)
    | ~ midp(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_103,c_0_121]) ).

cnf(c_0_129,negated_conjecture,
    midp(esk6_0,esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_122]),c_0_123])]) ).

cnf(c_0_130,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

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

cnf(c_0_132,negated_conjecture,
    para(esk2_0,esk6_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_127,c_0_51]) ).

cnf(c_0_133,negated_conjecture,
    ( para(esk3_0,X1,X1,esk3_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_134,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_50,c_0_130]) ).

cnf(c_0_135,negated_conjecture,
    para(esk6_0,esk2_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_136,negated_conjecture,
    para(esk3_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_133,c_0_113]) ).

fof(c_0_137,plain,
    ! [X375,X376,X377,X378] :
      ( ~ eqangle(X377,X375,X377,X376,X378,X375,X378,X376)
      | ~ coll(X377,X378,X376)
      | cyclic(X375,X376,X377,X378) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_138,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_56,c_0_134]) ).

cnf(c_0_139,negated_conjecture,
    para(esk6_0,esk2_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_127,c_0_135]) ).

cnf(c_0_140,negated_conjecture,
    para(esk3_0,esk6_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_127,c_0_136]) ).

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

cnf(c_0_142,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_54,c_0_138]) ).

cnf(c_0_143,negated_conjecture,
    ( midp(X1,esk2_0,esk2_0)
    | ~ midp(X1,esk6_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_139]),c_0_139])]) ).

cnf(c_0_144,negated_conjecture,
    ( midp(X1,esk6_0,esk6_0)
    | ~ midp(X1,esk3_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_140]),c_0_140])]) ).

fof(c_0_145,plain,
    ! [X354,X355,X356,X357] :
      ( ~ cyclic(X354,X355,X356,X357)
      | cyclic(X354,X356,X355,X357) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_146,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_141,c_0_111]) ).

cnf(c_0_147,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_142]),c_0_142])]) ).

cnf(c_0_148,negated_conjecture,
    ( midp(X1,esk2_0,esk2_0)
    | ~ midp(X1,esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

fof(c_0_149,plain,
    ! [X350,X351,X352,X353] :
      ( ~ cyclic(X350,X351,X352,X353)
      | cyclic(X350,X351,X353,X352) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_150,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_151,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_130])]),c_0_147])]) ).

cnf(c_0_152,negated_conjecture,
    midp(esk6_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_148,c_0_129]) ).

fof(c_0_153,plain,
    ! [X358,X359,X360,X361] :
      ( ~ cyclic(X358,X359,X360,X361)
      | cyclic(X359,X358,X360,X361) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_154,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_155,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_156,negated_conjecture,
    cong(esk6_0,esk6_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_90,c_0_152]) ).

cnf(c_0_157,negated_conjecture,
    coll(esk6_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_95,c_0_62]) ).

fof(c_0_158,plain,
    ! [X65,X66,X67,X68,X69,X70,X71,X72] :
      ( ~ eqangle(X65,X66,X67,X68,X69,X70,X71,X72)
      | ~ perp(X69,X70,X71,X72)
      | perp(X65,X66,X67,X68) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).

fof(c_0_159,plain,
    ! [X367,X368,X369,X370] :
      ( ~ cyclic(X367,X368,X369,X370)
      | eqangle(X369,X367,X369,X368,X370,X367,X370,X368) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

fof(c_0_160,plain,
    ! [X362,X363,X364,X365,X366] :
      ( ~ cyclic(X362,X363,X364,X365)
      | ~ cyclic(X362,X363,X364,X366)
      | cyclic(X363,X364,X365,X366) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_161,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_162,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_163,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_130]),c_0_130])]) ).

cnf(c_0_164,negated_conjecture,
    midp(esk6_0,esk6_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_156]),c_0_157])]) ).

cnf(c_0_165,plain,
    ( perp(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ perp(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_166,plain,
    ( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_167,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_168,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

fof(c_0_169,plain,
    ! [X53,X54,X55,X56] :
      ( ~ cong(X53,X55,X54,X55)
      | ~ cong(X53,X56,X54,X56)
      | perp(X53,X54,X55,X56) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_170,negated_conjecture,
    midp(esk6_0,X1,X1),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_171,plain,
    ( perp(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ perp(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_172,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_168])]) ).

cnf(c_0_173,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_174,negated_conjecture,
    cong(esk6_0,X1,esk6_0,X1),
    inference(spm,[status(thm)],[c_0_64,c_0_170]) ).

fof(c_0_175,plain,
    ! [X25,X26,X27,X28] :
      ( ~ perp(X25,X26,X27,X28)
      | perp(X25,X26,X28,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

cnf(c_0_176,plain,
    ( perp(X1,X2,X1,X3)
    | ~ perp(X4,X2,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]) ).

cnf(c_0_177,negated_conjecture,
    perp(esk6_0,esk6_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_174])]) ).

cnf(c_0_178,plain,
    ( perp(X1,X2,X4,X3)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_179,negated_conjecture,
    perp(X1,esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_180,negated_conjecture,
    perp(X1,esk6_0,X2,X1),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_181,negated_conjecture,
    ~ perp(esk5_0,esk4_0,esk4_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_182,negated_conjecture,
    perp(X1,X2,X2,esk6_0),
    inference(spm,[status(thm)],[c_0_37,c_0_180]) ).

cnf(c_0_183,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n029.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   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 06:50:52 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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/tmp/tmp.w5EFZ4m3Zp/E---3.1_19355.p
% 1.66/0.66  # Version: 3.1pre001
% 1.66/0.66  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.66/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.66/0.66  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.66/0.66  # Starting new_bool_3 with 300s (1) cores
% 1.66/0.66  # Starting new_bool_1 with 300s (1) cores
% 1.66/0.66  # Starting sh5l with 300s (1) cores
% 1.66/0.66  # new_bool_3 with pid 19434 completed with status 0
% 1.66/0.66  # Result found by new_bool_3
% 1.66/0.66  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.66/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.66/0.66  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.66/0.66  # Starting new_bool_3 with 300s (1) cores
% 1.66/0.66  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.66/0.66  # Search class: FGUSF-FFLS33-SFFFFFNN
% 1.66/0.66  # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 1.66/0.66  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.66/0.66  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.66/0.66  # SAT001_MinMin_p005000_rr_RG with pid 19437 completed with status 0
% 1.66/0.66  # Result found by SAT001_MinMin_p005000_rr_RG
% 1.66/0.66  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.66/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.66/0.66  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.66/0.66  # Starting new_bool_3 with 300s (1) cores
% 1.66/0.66  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.66/0.66  # Search class: FGUSF-FFLS33-SFFFFFNN
% 1.66/0.66  # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 1.66/0.66  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.66/0.66  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.66/0.66  # Preprocessing time       : 0.002 s
% 1.66/0.66  # Presaturation interreduction done
% 1.66/0.66  
% 1.66/0.66  # Proof found!
% 1.66/0.66  # SZS status Theorem
% 1.66/0.66  # SZS output start CNFRefutation
% See solution above
% 1.66/0.66  # Parsed axioms                        : 95
% 1.66/0.66  # Removed by relevancy pruning/SinE    : 21
% 1.66/0.66  # Initial clauses                      : 97
% 1.66/0.66  # Removed in clause preprocessing      : 0
% 1.66/0.66  # Initial clauses in saturation        : 97
% 1.66/0.66  # Processed clauses                    : 2483
% 1.66/0.66  # ...of these trivial                  : 361
% 1.66/0.66  # ...subsumed                          : 435
% 1.66/0.66  # ...remaining for further processing  : 1687
% 1.66/0.66  # Other redundant clauses eliminated   : 0
% 1.66/0.66  # Clauses deleted for lack of memory   : 0
% 1.66/0.66  # Backward-subsumed                    : 138
% 1.66/0.66  # Backward-rewritten                   : 849
% 1.66/0.66  # Generated clauses                    : 13571
% 1.66/0.66  # ...of the previous two non-redundant : 8744
% 1.66/0.66  # ...aggressively subsumed             : 0
% 1.66/0.66  # Contextual simplify-reflections      : 3
% 1.66/0.66  # Paramodulations                      : 13571
% 1.66/0.66  # Factorizations                       : 0
% 1.66/0.66  # NegExts                              : 0
% 1.66/0.66  # Equation resolutions                 : 0
% 1.66/0.66  # Total rewrite steps                  : 6561
% 1.66/0.66  # Propositional unsat checks           : 0
% 1.66/0.66  #    Propositional check models        : 0
% 1.66/0.66  #    Propositional check unsatisfiable : 0
% 1.66/0.66  #    Propositional clauses             : 0
% 1.66/0.66  #    Propositional clauses after purity: 0
% 1.66/0.66  #    Propositional unsat core size     : 0
% 1.66/0.66  #    Propositional preprocessing time  : 0.000
% 1.66/0.66  #    Propositional encoding time       : 0.000
% 1.66/0.66  #    Propositional solver time         : 0.000
% 1.66/0.66  #    Success case prop preproc time    : 0.000
% 1.66/0.66  #    Success case prop encoding time   : 0.000
% 1.66/0.66  #    Success case prop solver time     : 0.000
% 1.66/0.66  # Current number of processed clauses  : 604
% 1.66/0.66  #    Positive orientable unit clauses  : 286
% 1.66/0.66  #    Positive unorientable unit clauses: 0
% 1.66/0.66  #    Negative unit clauses             : 0
% 1.66/0.66  #    Non-unit-clauses                  : 318
% 1.66/0.66  # Current number of unprocessed clauses: 6156
% 1.66/0.66  # ...number of literals in the above   : 17758
% 1.66/0.66  # Current number of archived formulas  : 0
% 1.66/0.66  # Current number of archived clauses   : 1083
% 1.66/0.66  # Clause-clause subsumption calls (NU) : 61382
% 1.66/0.66  # Rec. Clause-clause subsumption calls : 56036
% 1.66/0.66  # Non-unit clause-clause subsumptions  : 484
% 1.66/0.66  # Unit Clause-clause subsumption calls : 32782
% 1.66/0.66  # Rewrite failures with RHS unbound    : 0
% 1.66/0.66  # BW rewrite match attempts            : 4615
% 1.66/0.66  # BW rewrite match successes           : 716
% 1.66/0.66  # Condensation attempts                : 0
% 1.66/0.66  # Condensation successes               : 0
% 1.66/0.66  # Termbank termtop insertions          : 154048
% 1.66/0.66  
% 1.66/0.66  # -------------------------------------------------
% 1.66/0.66  # User time                : 0.204 s
% 1.66/0.66  # System time              : 0.006 s
% 1.66/0.66  # Total time               : 0.211 s
% 1.66/0.66  # Maximum resident set size: 2344 pages
% 1.66/0.66  
% 1.66/0.66  # -------------------------------------------------
% 1.66/0.66  # User time                : 0.208 s
% 1.66/0.66  # System time              : 0.008 s
% 1.66/0.66  # Total time               : 0.216 s
% 1.66/0.66  # Maximum resident set size: 1844 pages
% 1.66/0.66  % E---3.1 exiting
% 1.66/0.66  % E---3.1 exiting
%------------------------------------------------------------------------------