TSTP Solution File: GEO306+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO306+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 03:45:13 EDT 2022

% Result   : Theorem 7.47s 2.50s
% Output   : CNFRefutation 7.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   60 (  37 unt;  13 nHn;  60 RR)
%            Number of literals    :  206 (  81 equ; 130 neg)
%            Maximal clause size   :   12 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-8 aty)
%            Number of variables   :   99 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_82,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-ne4jwira/lgb.p',i_0_82) ).

cnf(i_0_14,plain,
    rpoint(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_14) ).

cnf(i_0_15,plain,
    vd1288 = esk2_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_15) ).

cnf(i_0_24,plain,
    rpoint(vd1300),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_24) ).

cnf(i_0_23,plain,
    vd1299 = vd1300,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_23) ).

cnf(i_0_12,plain,
    rpoint(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_12) ).

cnf(i_0_13,plain,
    vd1287 = esk3_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_13) ).

cnf(i_0_28,plain,
    ( X1 = X2
    | X3 = X4
    | vf(X1,vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8)) = vf(X3,X4)
    | X2 != X6
    | X1 != X5
    | X4 != X8
    | X3 != X7
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X8)
    | ~ rless(vf(X3,X4),vf(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_28) ).

cnf(i_0_6,plain,
    rpoint(vd1303),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_6) ).

cnf(i_0_8,plain,
    vd1303 = vd1302,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_8) ).

cnf(i_0_30,plain,
    ( X1 = X2
    | X3 = X4
    | rpoint(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8))
    | X2 != X6
    | X1 != X5
    | X4 != X8
    | X3 != X7
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X8)
    | ~ rless(vf(X3,X4),vf(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_30) ).

cnf(i_0_29,plain,
    ( X1 = X2
    | X3 = X4
    | rR(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8),X1,X2)
    | X2 != X6
    | X1 != X5
    | X4 != X8
    | X3 != X7
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X8)
    | ~ rless(vf(X3,X4),vf(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_29) ).

cnf(i_0_126,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | X7 != X8
    | ~ rpoint(X6)
    | ~ rpoint(X8)
    | ~ rpoint(X2)
    | ~ rpoint(X4)
    | ~ rR(X7,X1,X3)
    | ~ rR(X7,X5,X1)
    | ~ rR(X7,X5,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_126) ).

cnf(i_0_5,plain,
    rR(vd1288,vd1287,vd1299),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_5) ).

cnf(i_0_16,plain,
    rpoint(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_16) ).

cnf(i_0_17,plain,
    vd1289 = esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_17) ).

cnf(i_0_2,plain,
    rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_2) ).

cnf(i_0_7,plain,
    rR(vd1289,vd1287,vd1302),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_7) ).

cnf(i_0_1,negated_conjecture,
    ( vf(vd1287,vd1299) != vf(vd1287,X1)
    | ~ rpoint(X1)
    | ~ rR(X1,vd1287,vd1302) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ne4jwira/lgb.p',i_0_1) ).

cnf(c_0_146,plain,
    ( rR(X1,X2,X3)
    | X3 != X4
    | X2 != X5
    | X1 != X6
    | ~ rpoint(X4)
    | ~ rpoint(X6)
    | ~ rpoint(X5)
    | ~ rR(X1,X3,X2) ),
    i_0_82 ).

cnf(c_0_147,plain,
    rpoint(esk2_0),
    i_0_14 ).

cnf(c_0_148,plain,
    vd1288 = esk2_0,
    i_0_15 ).

cnf(c_0_149,plain,
    rpoint(vd1300),
    i_0_24 ).

cnf(c_0_150,plain,
    vd1299 = vd1300,
    i_0_23 ).

cnf(c_0_151,plain,
    rpoint(esk3_0),
    i_0_12 ).

cnf(c_0_152,plain,
    vd1287 = esk3_0,
    i_0_13 ).

cnf(c_0_153,plain,
    ( X1 = X2
    | X3 = X4
    | vf(X1,vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8)) = vf(X3,X4)
    | X2 != X6
    | X1 != X5
    | X4 != X8
    | X3 != X7
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X8)
    | ~ rless(vf(X3,X4),vf(X1,X2)) ),
    i_0_28 ).

cnf(c_0_154,plain,
    rpoint(vd1303),
    i_0_6 ).

cnf(c_0_155,plain,
    vd1303 = vd1302,
    i_0_8 ).

cnf(c_0_156,plain,
    ( X1 = X2
    | X3 = X4
    | rpoint(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8))
    | X2 != X6
    | X1 != X5
    | X4 != X8
    | X3 != X7
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X8)
    | ~ rless(vf(X3,X4),vf(X1,X2)) ),
    i_0_30 ).

cnf(c_0_157,plain,
    ( X1 = X2
    | X3 = X4
    | rR(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X8),X1,X2)
    | X2 != X6
    | X1 != X5
    | X4 != X8
    | X3 != X7
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X8)
    | ~ rless(vf(X3,X4),vf(X1,X2)) ),
    i_0_29 ).

cnf(c_0_158,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | X7 != X8
    | ~ rpoint(X6)
    | ~ rpoint(X8)
    | ~ rpoint(X2)
    | ~ rpoint(X4)
    | ~ rR(X7,X1,X3)
    | ~ rR(X7,X5,X1)
    | ~ rR(X7,X5,X3) ),
    i_0_126 ).

cnf(c_0_159,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_146])])]) ).

cnf(c_0_160,plain,
    rR(vd1288,vd1287,vd1299),
    i_0_5 ).

cnf(c_0_161,plain,
    rpoint(vd1288),
    inference(rw,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_162,plain,
    rpoint(vd1299),
    inference(rw,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_163,plain,
    rpoint(vd1287),
    inference(rw,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_164,plain,
    rpoint(esk1_0),
    i_0_16 ).

cnf(c_0_165,plain,
    vd1289 = esk1_0,
    i_0_17 ).

cnf(c_0_166,plain,
    ( vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4)) = vf(X3,X4)
    | X3 = X4
    | X1 = X2
    | ~ rless(vf(X3,X4),vf(X1,X2))
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_153])])])]) ).

cnf(c_0_167,plain,
    rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
    i_0_2 ).

cnf(c_0_168,plain,
    rpoint(vd1302),
    inference(rw,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_169,plain,
    ( X1 = X2
    | X3 = X4
    | rpoint(vskolem1120(X3,X3,X4,X4,X1,X1,X2,X2))
    | ~ rless(vf(X1,X2),vf(X3,X4))
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_156])])])]) ).

cnf(c_0_170,plain,
    ( X1 = X2
    | X3 = X4
    | rR(vskolem1120(X3,X3,X4,X4,X1,X1,X2,X2),X3,X4)
    | ~ rless(vf(X1,X2),vf(X3,X4))
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_157])])])]) ).

cnf(c_0_171,plain,
    ( ~ rR(X1,X2,X3)
    | ~ rR(X1,X2,X4)
    | ~ rR(X1,X4,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_158])])])]) ).

cnf(c_0_172,plain,
    rR(vd1288,vd1299,vd1287),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162]),c_0_163])]) ).

cnf(c_0_173,plain,
    rR(vd1289,vd1287,vd1302),
    i_0_7 ).

cnf(c_0_174,plain,
    rpoint(vd1289),
    inference(rw,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_175,negated_conjecture,
    ( vf(vd1287,vd1299) != vf(vd1287,X1)
    | ~ rpoint(X1)
    | ~ rR(X1,vd1287,vd1302) ),
    i_0_1 ).

cnf(c_0_176,plain,
    ( vf(vd1287,vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299)) = vf(vd1287,vd1299)
    | vd1299 = vd1287
    | vd1302 = vd1287 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_162]),c_0_163]),c_0_168])]) ).

cnf(c_0_177,plain,
    ( vd1299 = vd1287
    | vd1302 = vd1287
    | rpoint(vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_167]),c_0_162]),c_0_163]),c_0_168])]) ).

cnf(c_0_178,plain,
    ( vd1299 = vd1287
    | vd1302 = vd1287
    | rR(vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299),vd1287,vd1302) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_167]),c_0_162]),c_0_163]),c_0_168])]) ).

cnf(c_0_179,plain,
    ( ~ rR(vd1288,vd1299,X1)
    | ~ rR(vd1288,X1,vd1287)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_161]),c_0_162]),c_0_163])]) ).

cnf(c_0_180,plain,
    rR(vd1289,vd1302,vd1287),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_173]),c_0_174]),c_0_168]),c_0_163])]) ).

cnf(c_0_181,negated_conjecture,
    ( vd1302 = vd1287
    | vd1299 = vd1287 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),c_0_178]) ).

cnf(c_0_182,plain,
    ~ rR(vd1288,vd1287,vd1287),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_172]),c_0_163])]) ).

cnf(c_0_183,plain,
    ( ~ rR(vd1289,vd1302,X1)
    | ~ rR(vd1289,X1,vd1287)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_180]),c_0_174]),c_0_168]),c_0_163])]) ).

cnf(c_0_184,plain,
    vd1302 = vd1287,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_181]),c_0_182]) ).

cnf(c_0_185,plain,
    ~ rR(vd1289,vd1287,vd1287),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_180]),c_0_163])]) ).

cnf(c_0_186,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_184]),c_0_185]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO306+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 18:03:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected complete mode:
% 7.47/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.47/2.50  # No SInE strategy applied
% 7.47/2.50  # Trying AutoSched0 for 150 seconds
% 7.47/2.50  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.47/2.50  # and selection function SelectCQArNTNpEqFirst.
% 7.47/2.50  #
% 7.47/2.50  # Preprocessing time       : 0.025 s
% 7.47/2.50  # Presaturation interreduction done
% 7.47/2.50  
% 7.47/2.50  # Proof found!
% 7.47/2.50  # SZS status Theorem
% 7.47/2.50  # SZS output start CNFRefutation
% See solution above
% 7.47/2.50  # Training examples: 0 positive, 0 negative
% 7.47/2.50  
% 7.47/2.50  # -------------------------------------------------
% 7.47/2.50  # User time                : 0.054 s
% 7.47/2.50  # System time              : 0.003 s
% 7.47/2.50  # Total time               : 0.057 s
% 7.47/2.50  # Maximum resident set size: 7124 pages
% 7.47/2.50  
%------------------------------------------------------------------------------