TSTP Solution File: GEO298+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO298+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 03:45:11 EDT 2022

% Result   : Theorem 8.64s 2.54s
% Output   : CNFRefutation 8.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   57 (  46 unt;   5 nHn;  57 RR)
%            Number of literals    :  143 (  45 equ;  84 neg)
%            Maximal clause size   :   17 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   51 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_48,plain,
    esk9_0 = vd1199,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_48) ).

cnf(i_0_66,plain,
    vd1185 = vd1199,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_66) ).

cnf(i_0_163,plain,
    ( rR(X1,X2,X3)
    | X3 != X4
    | X2 != X5
    | X1 != X6
    | ~ rpoint(X4)
    | ~ rpoint(X6)
    | ~ rpoint(X5)
    | ~ rR(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_163) ).

cnf(i_0_47,plain,
    rpoint(esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_47) ).

cnf(i_0_10,plain,
    rpoint(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_10) ).

cnf(i_0_11,plain,
    vd1201 = esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_11) ).

cnf(i_0_26,plain,
    rpoint(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_26) ).

cnf(i_0_27,plain,
    vd1187 = esk2_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_27) ).

cnf(i_0_6,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | rR(X2,X1,X3)
    | rR(X1,X2,X3)
    | rR(X3,X2,X1)
    | X2 != X4
    | X1 != X5
    | X3 != X6
    | X7 != X8
    | ~ rline(X8)
    | ~ rpoint(X4)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7)
    | ~ ron(X3,X7) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_6) ).

cnf(i_0_5,plain,
    ~ rR(vd1185,vd1201,vd1187),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_5) ).

cnf(i_0_87,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-p4yllmwj/lgb.p',i_0_87) ).

cnf(i_0_2,negated_conjecture,
    ~ rR(vd1201,vd1185,vd1187),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_2) ).

cnf(i_0_3,plain,
    vd1187 != vd1201,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_3) ).

cnf(i_0_1,negated_conjecture,
    ~ rR(vd1187,vd1185,vd1201),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_1) ).

cnf(i_0_7,plain,
    rS(vd1201,vd1187,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_7) ).

cnf(i_0_12,plain,
    rline(vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_12) ).

cnf(i_0_51,plain,
    ron(vd1201,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_51) ).

cnf(i_0_63,plain,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_63) ).

cnf(i_0_8,plain,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_8) ).

cnf(i_0_64,plain,
    rline(vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_64) ).

cnf(i_0_9,plain,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_9) ).

cnf(i_0_81,plain,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4yllmwj/lgb.p',i_0_81) ).

cnf(c_0_186,plain,
    esk9_0 = vd1199,
    i_0_48 ).

cnf(c_0_187,plain,
    vd1185 = vd1199,
    i_0_66 ).

cnf(c_0_188,plain,
    ( rR(X1,X2,X3)
    | X3 != X4
    | X2 != X5
    | X1 != X6
    | ~ rpoint(X4)
    | ~ rpoint(X6)
    | ~ rpoint(X5)
    | ~ rR(X1,X3,X2) ),
    i_0_163 ).

cnf(c_0_189,plain,
    rpoint(esk9_0),
    i_0_47 ).

cnf(c_0_190,plain,
    esk9_0 = vd1185,
    inference(rw,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_191,plain,
    rpoint(esk1_0),
    i_0_10 ).

cnf(c_0_192,plain,
    vd1201 = esk1_0,
    i_0_11 ).

cnf(c_0_193,plain,
    rpoint(esk2_0),
    i_0_26 ).

cnf(c_0_194,plain,
    vd1187 = esk2_0,
    i_0_27 ).

cnf(c_0_195,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | rR(X2,X1,X3)
    | rR(X1,X2,X3)
    | rR(X3,X2,X1)
    | X2 != X4
    | X1 != X5
    | X3 != X6
    | X7 != X8
    | ~ rline(X8)
    | ~ rpoint(X4)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7)
    | ~ ron(X3,X7) ),
    i_0_6 ).

cnf(c_0_196,plain,
    ~ rR(vd1185,vd1201,vd1187),
    i_0_5 ).

cnf(c_0_197,plain,
    ( rR(X1,X2,X3)
    | ~ rR(X1,X3,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_188])])]) ).

cnf(c_0_198,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_199,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_200,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_201,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | ~ rline(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ ron(X5,X1)
    | ~ rS(X5,X3,X1) ),
    i_0_87 ).

cnf(c_0_202,negated_conjecture,
    ~ rR(vd1201,vd1185,vd1187),
    i_0_2 ).

cnf(c_0_203,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | rR(X2,X1,X3)
    | rR(X1,X3,X2)
    | rR(X3,X1,X2)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4)
    | ~ ron(X3,X4)
    | ~ rline(X4)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_195])])])]) ).

cnf(c_0_204,plain,
    vd1187 != vd1201,
    i_0_3 ).

cnf(c_0_205,negated_conjecture,
    ~ rR(vd1187,vd1185,vd1201),
    i_0_1 ).

cnf(c_0_206,plain,
    ~ rR(vd1185,vd1187,vd1201),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_199]),c_0_200])]) ).

cnf(c_0_207,plain,
    ( ~ rS(X1,X2,X3)
    | ~ ron(X1,X3)
    | ~ rline(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_201])])]) ).

cnf(c_0_208,plain,
    rS(vd1201,vd1187,vd1197),
    i_0_7 ).

cnf(c_0_209,plain,
    rline(vd1197),
    i_0_12 ).

cnf(c_0_210,negated_conjecture,
    ( vd1201 = vd1185
    | vd1187 = vd1185
    | ~ ron(vd1201,X1)
    | ~ ron(vd1185,X1)
    | ~ ron(vd1187,X1)
    | ~ rline(X1) ),
    inference(sr,[status(thm)],[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_202,c_0_203]),c_0_199]),c_0_200]),c_0_198])]),c_0_204]),c_0_205]),c_0_206]) ).

cnf(c_0_211,plain,
    ron(vd1201,vd1232),
    i_0_51 ).

cnf(c_0_212,plain,
    ron(vd1185,vd1232),
    i_0_63 ).

cnf(c_0_213,plain,
    ron(vd1187,vd1232),
    i_0_8 ).

cnf(c_0_214,plain,
    rline(vd1232),
    i_0_64 ).

cnf(c_0_215,plain,
    ~ ron(vd1201,vd1197),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]),c_0_199]),c_0_200])]) ).

cnf(c_0_216,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]),c_0_213]),c_0_214])]) ).

cnf(c_0_217,plain,
    ron(vd1185,vd1197),
    i_0_9 ).

cnf(c_0_218,plain,
    ~ ron(vd1187,vd1197),
    i_0_81 ).

cnf(c_0_219,plain,
    vd1187 = vd1185,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217])]) ).

cnf(c_0_220,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219]),c_0_217])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO298+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 22:45:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.64/2.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.64/2.54  # No SInE strategy applied
% 8.64/2.54  # Trying AutoSched0 for 150 seconds
% 8.64/2.54  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080N
% 8.64/2.54  # and selection function SelectCQIArNXTEqFirst.
% 8.64/2.54  #
% 8.64/2.54  # Preprocessing time       : 0.025 s
% 8.64/2.54  # Presaturation interreduction done
% 8.64/2.54  
% 8.64/2.54  # Proof found!
% 8.64/2.54  # SZS status Theorem
% 8.64/2.54  # SZS output start CNFRefutation
% See solution above
% 8.64/2.54  # Training examples: 0 positive, 0 negative
% 8.64/2.54  
% 8.64/2.54  # -------------------------------------------------
% 8.64/2.54  # User time                : 0.060 s
% 8.64/2.54  # System time              : 0.010 s
% 8.64/2.54  # Total time               : 0.070 s
% 8.64/2.54  # Maximum resident set size: 7124 pages
% 8.64/2.54  
%------------------------------------------------------------------------------