TSTP Solution File: GEO274+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO274+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 03:45:04 EDT 2022

% Result   : Theorem 8.25s 2.50s
% Output   : CNFRefutation 8.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   50 (  36 unt;   4 nHn;  50 RR)
%            Number of literals    :  126 (  58 equ;  78 neg)
%            Maximal clause size   :   14 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   52 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_16) ).

cnf(i_0_14,plain,
    rpoint(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_14) ).

cnf(i_0_15,plain,
    vd1080 = esk2_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_15) ).

cnf(i_0_18,plain,
    ( X1 = X2
    | X2 != X3
    | X1 != X4
    | vf(X1,X2) != v0
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_18) ).

cnf(i_0_13,plain,
    rpoint(vd1086),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_13) ).

cnf(i_0_11,plain,
    vd1086 = vd1085,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_11) ).

cnf(i_0_121,plain,
    ( X1 = X2
    | X3 = X4
    | X4 != X5
    | X2 != X6
    | X1 != X7
    | X3 != X8
    | ~ rline(X6)
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X8)
    | ~ ron(X4,X2)
    | ~ ron(X4,X1)
    | ~ ron(X3,X2)
    | ~ ron(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_121) ).

cnf(i_0_8,plain,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_8) ).

cnf(i_0_12,plain,
    vd1080 != vd1085,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_12) ).

cnf(i_0_10,plain,
    rpoint(vd1089),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_10) ).

cnf(i_0_6,plain,
    ron(vd1080,vd1092),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_6) ).

cnf(i_0_5,plain,
    rline(vd1092),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_5) ).

cnf(i_0_17,plain,
    ( vf(X1,X2) = v0
    | X2 != X3
    | X1 != X4
    | X1 != X2
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_17) ).

cnf(i_0_4,negated_conjecture,
    ron(vd1089,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_4) ).

cnf(i_0_2,negated_conjecture,
    rline(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    ron(vd1080,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_3) ).

cnf(i_0_7,plain,
    ron(vd1089,vd1092),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_7) ).

cnf(i_0_1,negated_conjecture,
    esk1_0 != vd1092,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31q8qs_n/lgb.p',i_0_1) ).

cnf(c_0_140,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    i_0_16 ).

cnf(c_0_141,plain,
    rpoint(esk2_0),
    i_0_14 ).

cnf(c_0_142,plain,
    vd1080 = esk2_0,
    i_0_15 ).

cnf(c_0_143,plain,
    ( X1 = X2
    | X2 != X3
    | X1 != X4
    | vf(X1,X2) != v0
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_18 ).

cnf(c_0_144,plain,
    rpoint(vd1086),
    i_0_13 ).

cnf(c_0_145,plain,
    vd1086 = vd1085,
    i_0_11 ).

cnf(c_0_146,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_140])]) ).

cnf(c_0_147,plain,
    rpoint(vd1080),
    inference(rw,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_148,plain,
    ( X1 = X2
    | X3 = X4
    | X4 != X5
    | X2 != X6
    | X1 != X7
    | X3 != X8
    | ~ rline(X6)
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X8)
    | ~ ron(X4,X2)
    | ~ ron(X4,X1)
    | ~ ron(X3,X2)
    | ~ ron(X3,X1) ),
    i_0_121 ).

cnf(c_0_149,plain,
    ( X1 = X2
    | vf(X1,X2) != v0
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_143])]) ).

cnf(c_0_150,plain,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    i_0_8 ).

cnf(c_0_151,plain,
    rpoint(vd1085),
    inference(rw,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_152,plain,
    vd1080 != vd1085,
    i_0_12 ).

cnf(c_0_153,plain,
    ( vf(X1,vd1080) = vf(vd1080,X1)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_154,plain,
    rpoint(vd1089),
    i_0_10 ).

cnf(c_0_155,plain,
    ( X1 = X2
    | X3 = X4
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ rline(X4)
    | ~ ron(X2,X4)
    | ~ ron(X2,X3)
    | ~ ron(X1,X4)
    | ~ ron(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_148])])])]) ).

cnf(c_0_156,plain,
    ron(vd1080,vd1092),
    i_0_6 ).

cnf(c_0_157,plain,
    rline(vd1092),
    i_0_5 ).

cnf(c_0_158,plain,
    ( vf(X1,X2) = v0
    | X2 != X3
    | X1 != X4
    | X1 != X2
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_17 ).

cnf(c_0_159,plain,
    vf(vd1089,vd1080) != v0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_147])]),c_0_152]) ).

cnf(c_0_160,plain,
    vf(vd1089,vd1080) = vf(vd1080,vd1089),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_161,plain,
    ( X1 = vd1080
    | X2 = vd1092
    | ~ rpoint(X1)
    | ~ rline(X2)
    | ~ ron(vd1080,X2)
    | ~ ron(X1,vd1092)
    | ~ ron(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_147]),c_0_157])]) ).

cnf(c_0_162,negated_conjecture,
    ron(vd1089,esk1_0),
    i_0_4 ).

cnf(c_0_163,negated_conjecture,
    rline(esk1_0),
    i_0_2 ).

cnf(c_0_164,negated_conjecture,
    ron(vd1080,esk1_0),
    i_0_3 ).

cnf(c_0_165,plain,
    ron(vd1089,vd1092),
    i_0_7 ).

cnf(c_0_166,negated_conjecture,
    esk1_0 != vd1092,
    i_0_1 ).

cnf(c_0_167,plain,
    ( vf(X1,X1) = v0
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_158])])]) ).

cnf(c_0_168,plain,
    vf(vd1080,vd1089) != v0,
    inference(rw,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_169,negated_conjecture,
    vd1089 = vd1080,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_154]),c_0_163]),c_0_164]),c_0_165])]),c_0_166]) ).

cnf(c_0_170,plain,
    vf(vd1080,vd1080) = v0,
    inference(spm,[status(thm)],[c_0_167,c_0_147]) ).

cnf(c_0_171,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169]),c_0_170])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO274+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 : n020.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 13:22:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  # ENIGMATIC: Selected complete mode:
% 8.25/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.25/2.50  # No SInE strategy applied
% 8.25/2.50  # Trying AutoSched0 for 150 seconds
% 8.25/2.50  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.25/2.50  # and selection function SelectCQArNTNpEqFirst.
% 8.25/2.50  #
% 8.25/2.50  # Preprocessing time       : 0.014 s
% 8.25/2.50  # Presaturation interreduction done
% 8.25/2.50  
% 8.25/2.50  # Proof found!
% 8.25/2.50  # SZS status Theorem
% 8.25/2.50  # SZS output start CNFRefutation
% See solution above
% 8.25/2.50  # Training examples: 0 positive, 0 negative
% 8.25/2.50  
% 8.25/2.50  # -------------------------------------------------
% 8.25/2.50  # User time                : 0.079 s
% 8.25/2.50  # System time              : 0.007 s
% 8.25/2.50  # Total time               : 0.086 s
% 8.25/2.50  # Maximum resident set size: 7128 pages
% 8.25/2.50  
%------------------------------------------------------------------------------