TSTP Solution File: GEO345+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO345+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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  : 600s
% DateTime : Sat Jul 16 03:45:25 EDT 2022

% Result   : Theorem 8.66s 2.60s
% Output   : CNFRefutation 8.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   78 (  44 unt;  23 nHn;  78 RR)
%            Number of literals    :  372 ( 146 equ; 236 neg)
%            Maximal clause size   :   26 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-3 aty)
%            Number of variables   :  158 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_138,plain,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | vangle(X3,X1,X5) = vangle(X2,X1,X4)
    | rR(X1,X3,X2)
    | rR(X1,X5,X4)
    | X6 != X7
    | X8 != X9
    | X2 != X10
    | X3 != X11
    | X4 != X12
    | X5 != X13
    | X1 != X14
    | ~ rline(X7)
    | ~ rline(X9)
    | ~ rpoint(X14)
    | ~ rpoint(X11)
    | ~ rpoint(X13)
    | ~ rpoint(X10)
    | ~ rpoint(X12)
    | ~ ron(X2,X6)
    | ~ ron(X3,X6)
    | ~ ron(X4,X8)
    | ~ ron(X5,X8)
    | ~ ron(X1,X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_138) ).

cnf(i_0_12,plain,
    rpoint(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_12) ).

cnf(i_0_13,plain,
    vd1399 = esk3_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_13) ).

cnf(i_0_33,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X3,X1,X2) = v0
    | rR(X1,X3,X2)
    | X4 != X5
    | X2 != X6
    | X3 != X7
    | X1 != X8
    | ~ rline(X5)
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rpoint(X6)
    | ~ ron(X2,X4)
    | ~ ron(X3,X4)
    | ~ ron(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_33) ).

cnf(i_0_21,plain,
    rline(vd1407),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_21) ).

cnf(i_0_24,plain,
    vd1406 = vd1407,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_24) ).

cnf(i_0_30,plain,
    ron(vd1399,vskolem1416),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_30) ).

cnf(i_0_28,plain,
    rline(vskolem1416),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_28) ).

cnf(i_0_22,plain,
    ron(vd1399,vd1406),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_22) ).

cnf(i_0_102,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X2 != X4
    | X3 != X5
    | X1 != X6
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ rpoint(X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_102) ).

cnf(i_0_14,plain,
    rpoint(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_14) ).

cnf(i_0_15,plain,
    vd1400 = esk2_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_15) ).

cnf(i_0_16,plain,
    rpoint(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_16) ).

cnf(i_0_17,plain,
    vd1401 = esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_17) ).

cnf(i_0_29,plain,
    ron(vd1401,vskolem1416),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_29) ).

cnf(i_0_92,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | X5 != X3
    | ~ rpoint(X6)
    | ~ rpoint(X2)
    | ~ rpoint(X4)
    | ~ rR(X1,X5,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_92) ).

cnf(i_0_23,plain,
    ron(vd1400,vd1406),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_23) ).

cnf(i_0_18,plain,
    vd1399 != vd1400,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_18) ).

cnf(i_0_19,plain,
    vd1399 != vd1401,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_19) ).

cnf(i_0_20,plain,
    vd1400 != vd1401,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_20) ).

cnf(i_0_31,plain,
    ( X1 = X2
    | X3 = X2
    | ron(X3,X4)
    | X2 != X5
    | X1 != X6
    | X4 != X7
    | X3 != X8
    | vangle(X1,X2,X3) != v0
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X8)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_31) ).

cnf(i_0_81,plain,
    ( ron(X1,X2)
    | X1 != X3
    | X4 != X5
    | X6 != X7
    | X2 != X8
    | ~ rline(X8)
    | ~ rpoint(X5)
    | ~ rpoint(X7)
    | ~ rpoint(X3)
    | ~ ron(X4,X2)
    | ~ ron(X6,X2)
    | ~ rR(X6,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_81) ).

cnf(i_0_153,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | ~ rline(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ ron(X5,X1)
    | ~ rS(X5,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_153) ).

cnf(i_0_39,plain,
    rS(vd1401,vd1409,vd1406),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_39) ).

cnf(i_0_11,plain,
    rpoint(vd1409),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y5ca2h7p/lgb.p',i_0_11) ).

cnf(c_0_179,plain,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | vangle(X3,X1,X5) = vangle(X2,X1,X4)
    | rR(X1,X3,X2)
    | rR(X1,X5,X4)
    | X6 != X7
    | X8 != X9
    | X2 != X10
    | X3 != X11
    | X4 != X12
    | X5 != X13
    | X1 != X14
    | ~ rline(X7)
    | ~ rline(X9)
    | ~ rpoint(X14)
    | ~ rpoint(X11)
    | ~ rpoint(X13)
    | ~ rpoint(X10)
    | ~ rpoint(X12)
    | ~ ron(X2,X6)
    | ~ ron(X3,X6)
    | ~ ron(X4,X8)
    | ~ ron(X5,X8)
    | ~ ron(X1,X6) ),
    i_0_138 ).

cnf(c_0_180,plain,
    rpoint(esk3_0),
    i_0_12 ).

cnf(c_0_181,plain,
    vd1399 = esk3_0,
    i_0_13 ).

cnf(c_0_182,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X3,X1,X2) = v0
    | rR(X1,X3,X2)
    | X4 != X5
    | X2 != X6
    | X3 != X7
    | X1 != X8
    | ~ rline(X5)
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rpoint(X6)
    | ~ ron(X2,X4)
    | ~ ron(X3,X4)
    | ~ ron(X1,X4) ),
    i_0_33 ).

cnf(c_0_183,plain,
    rline(vd1407),
    i_0_21 ).

cnf(c_0_184,plain,
    vd1406 = vd1407,
    i_0_24 ).

cnf(c_0_185,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X3
    | X2 = X4
    | X2 = X1
    | rR(X2,X5,X3)
    | rR(X2,X4,X1)
    | ~ ron(X5,X6)
    | ~ ron(X3,X6)
    | ~ ron(X4,X7)
    | ~ ron(X1,X7)
    | ~ ron(X2,X7)
    | ~ rpoint(X2)
    | ~ rpoint(X5)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rline(X6)
    | ~ rline(X7) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_179])])])])])])]) ).

cnf(c_0_186,plain,
    ron(vd1399,vskolem1416),
    i_0_30 ).

cnf(c_0_187,plain,
    rpoint(vd1399),
    inference(rw,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_188,plain,
    rline(vskolem1416),
    i_0_28 ).

cnf(c_0_189,plain,
    ( vangle(X1,X2,X3) = v0
    | X2 = X1
    | X2 = X3
    | rR(X2,X1,X3)
    | ~ ron(X1,X4)
    | ~ ron(X3,X4)
    | ~ ron(X2,X4)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rline(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_182])])])]) ).

cnf(c_0_190,plain,
    ron(vd1399,vd1406),
    i_0_22 ).

cnf(c_0_191,plain,
    rline(vd1406),
    inference(rw,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_192,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X2 != X4
    | X3 != X5
    | X1 != X6
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ rpoint(X5) ),
    i_0_102 ).

cnf(c_0_193,plain,
    rpoint(esk2_0),
    i_0_14 ).

cnf(c_0_194,plain,
    vd1400 = esk2_0,
    i_0_15 ).

cnf(c_0_195,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,vd1399)
    | X2 = vd1399
    | X2 = X3
    | X2 = X4
    | X2 = X1
    | rR(X2,vd1399,X3)
    | rR(X2,X4,X1)
    | ~ ron(X3,vskolem1416)
    | ~ ron(X4,X5)
    | ~ ron(X1,X5)
    | ~ ron(X2,X5)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rline(X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_188])]) ).

cnf(c_0_196,plain,
    rpoint(esk1_0),
    i_0_16 ).

cnf(c_0_197,plain,
    vd1401 = esk1_0,
    i_0_17 ).

cnf(c_0_198,plain,
    ( vangle(vd1399,X1,X2) = v0
    | X1 = vd1399
    | X1 = X2
    | rR(X1,vd1399,X2)
    | ~ ron(X2,vd1406)
    | ~ ron(X1,vd1406)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_187]),c_0_191])]) ).

cnf(c_0_199,plain,
    ( vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X1 = X3
    | X1 = X2
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_192])])]) ).

cnf(c_0_200,plain,
    rpoint(vd1400),
    inference(rw,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_201,plain,
    ( vangle(X1,X2,X3) = vangle(vd1399,X2,vd1399)
    | X2 = vd1399
    | X2 = X1
    | X2 = X3
    | rR(X2,vd1399,X1)
    | rR(X2,vd1399,X3)
    | ~ ron(X3,vskolem1416)
    | ~ ron(X1,vd1406)
    | ~ ron(X2,vd1406)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_190]),c_0_187]),c_0_191])]) ).

cnf(c_0_202,plain,
    ron(vd1401,vskolem1416),
    i_0_29 ).

cnf(c_0_203,plain,
    rpoint(vd1401),
    inference(rw,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_204,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | X5 != X3
    | ~ rpoint(X6)
    | ~ rpoint(X2)
    | ~ rpoint(X4)
    | ~ rR(X1,X5,X3) ),
    i_0_92 ).

cnf(c_0_205,plain,
    ( vangle(vd1399,X1,vd1399) = v0
    | X1 = vd1399
    | rR(X1,vd1399,vd1399)
    | ~ ron(X1,vd1406)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_190]),c_0_187])]) ).

cnf(c_0_206,plain,
    ron(vd1400,vd1406),
    i_0_23 ).

cnf(c_0_207,plain,
    vd1399 != vd1400,
    i_0_18 ).

cnf(c_0_208,plain,
    ( vangle(X1,vd1400,X2) = vangle(X2,vd1400,X1)
    | X1 = vd1400
    | X1 = X2
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_209,plain,
    ( vangle(X1,X2,vd1401) = vangle(vd1399,X2,vd1399)
    | X2 = vd1401
    | X2 = vd1399
    | X2 = X1
    | rR(X2,vd1399,vd1401)
    | rR(X2,vd1399,X1)
    | ~ ron(X1,vd1406)
    | ~ ron(X2,vd1406)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203])]) ).

cnf(c_0_210,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rR(X2,X1,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_204])])])]) ).

cnf(c_0_211,plain,
    ( vangle(vd1399,vd1400,vd1399) = v0
    | rR(vd1400,vd1399,vd1399) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_200])]),c_0_207]) ).

cnf(c_0_212,plain,
    ( vangle(vd1399,vd1400,X1) = vangle(X1,vd1400,vd1399)
    | vd1399 = X1
    | ~ rpoint(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_187]),c_0_207]) ).

cnf(c_0_213,plain,
    vd1399 != vd1401,
    i_0_19 ).

cnf(c_0_214,plain,
    ( vangle(vd1399,X1,vd1399) = vangle(vd1399,X1,vd1401)
    | X1 = vd1399
    | X1 = vd1401
    | rR(X1,vd1399,vd1399)
    | rR(X1,vd1399,vd1401)
    | ~ ron(X1,vd1406)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_190]),c_0_187])]) ).

cnf(c_0_215,plain,
    vangle(vd1399,vd1400,vd1399) = v0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_187]),c_0_200])]) ).

cnf(c_0_216,plain,
    vangle(vd1399,vd1400,vd1401) = vangle(vd1401,vd1400,vd1399),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_203]),c_0_213]) ).

cnf(c_0_217,plain,
    vd1400 != vd1401,
    i_0_20 ).

cnf(c_0_218,plain,
    ( X1 = X2
    | X3 = X2
    | ron(X3,X4)
    | X2 != X5
    | X1 != X6
    | X4 != X7
    | X3 != X8
    | vangle(X1,X2,X3) != v0
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X8)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    i_0_31 ).

cnf(c_0_219,plain,
    ( ron(X1,X2)
    | X1 != X3
    | X4 != X5
    | X6 != X7
    | X2 != X8
    | ~ rline(X8)
    | ~ rpoint(X5)
    | ~ rpoint(X7)
    | ~ rpoint(X3)
    | ~ ron(X4,X2)
    | ~ ron(X6,X2)
    | ~ rR(X6,X4,X1) ),
    i_0_81 ).

cnf(c_0_220,plain,
    ( vangle(vd1401,vd1400,vd1399) = v0
    | rR(vd1400,vd1399,vd1401)
    | rR(vd1400,vd1399,vd1399) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_206]),c_0_215]),c_0_216]),c_0_200])]),c_0_207]),c_0_217]) ).

cnf(c_0_221,plain,
    ( X1 = X2
    | X3 = X1
    | ron(X2,X4)
    | vangle(X3,X1,X2) != v0
    | ~ ron(X1,X4)
    | ~ ron(X3,X4)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rline(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_218])])])]) ).

cnf(c_0_222,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | ~ rline(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ ron(X5,X1)
    | ~ rS(X5,X3,X1) ),
    i_0_153 ).

cnf(c_0_223,plain,
    ( ron(X1,X2)
    | ~ ron(X3,X2)
    | ~ ron(X4,X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rline(X2)
    | ~ rR(X3,X4,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_219])])])]) ).

cnf(c_0_224,plain,
    ( vangle(vd1401,vd1400,vd1399) = v0
    | rR(vd1400,vd1399,vd1401) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_220]),c_0_187]),c_0_200])]) ).

cnf(c_0_225,plain,
    ( ron(vd1401,X1)
    | vangle(vd1401,vd1400,vd1399) != v0
    | ~ ron(vd1400,X1)
    | ~ ron(vd1399,X1)
    | ~ rline(X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_216]),c_0_203]),c_0_187]),c_0_200])]),c_0_207]),c_0_217]) ).

cnf(c_0_226,plain,
    ( ~ rS(X1,X2,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_222])])]) ).

cnf(c_0_227,plain,
    rS(vd1401,vd1409,vd1406),
    i_0_39 ).

cnf(c_0_228,plain,
    rpoint(vd1409),
    i_0_11 ).

cnf(c_0_229,plain,
    ( ron(vd1401,X1)
    | ~ ron(vd1400,X1)
    | ~ ron(vd1399,X1)
    | ~ rline(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_200]),c_0_187]),c_0_203])]),c_0_225]) ).

cnf(c_0_230,plain,
    ~ ron(vd1401,vd1406),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_203]),c_0_228]),c_0_191])]) ).

cnf(c_0_231,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_206]),c_0_190]),c_0_191])]),c_0_230]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO345+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 09:57:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.66/2.60  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.66/2.60  # No SInE strategy applied
% 8.66/2.60  # Trying AutoSched0 for 150 seconds
% 8.66/2.60  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.66/2.60  # and selection function SelectCQArNTNpEqFirst.
% 8.66/2.60  #
% 8.66/2.60  # Preprocessing time       : 0.021 s
% 8.66/2.60  # Presaturation interreduction done
% 8.66/2.60  
% 8.66/2.60  # Proof found!
% 8.66/2.60  # SZS status Theorem
% 8.66/2.60  # SZS output start CNFRefutation
% See solution above
% 8.66/2.60  # Training examples: 0 positive, 0 negative
% 8.66/2.60  
% 8.66/2.60  # -------------------------------------------------
% 8.66/2.60  # User time                : 0.054 s
% 8.66/2.60  # System time              : 0.007 s
% 8.66/2.60  # Total time               : 0.061 s
% 8.66/2.60  # Maximum resident set size: 7124 pages
% 8.66/2.60  
%------------------------------------------------------------------------------