TSTP Solution File: GEO340+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO340+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 03:45:23 EDT 2022

% Result   : Theorem 7.70s 2.49s
% Output   : CNFRefutation 7.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   55 (  45 unt;   7 nHn;  55 RR)
%            Number of literals    :  157 (  84 equ;  92 neg)
%            Maximal clause size   :   20 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-7 aty)
%            Number of variables   :   53 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
    ( X1 = X2
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | X1 != X5
    | X3 != X6
    | X4 != X7
    | X8 != X9
    | vf(X3,X1) != vf(X3,X2)
    | vf(X4,X1) != vf(X4,X2)
    | X10 != vskolem1416(X2,X3,X4,X1,X8,X9)
    | X11 != vskolem1419(X10,X2,X3,X4,X1,X8,X9)
    | ~ rpoint(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X5)
    | ~ rline(X9)
    | ~ ron(X3,X8)
    | ~ ron(X4,X8)
    | ~ rS(X1,X2,X8) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_19) ).

cnf(i_0_64,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_64) ).

cnf(i_0_6,plain,
    rpoint(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_6) ).

cnf(i_0_7,plain,
    vd1384 = esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_7) ).

cnf(i_0_15,plain,
    rline(vd1392),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_15) ).

cnf(i_0_18,plain,
    vd1392 = vd1391,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_18) ).

cnf(i_0_10,plain,
    rpoint(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_10) ).

cnf(i_0_11,plain,
    vd1386 = esk2_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_11) ).

cnf(i_0_3,negated_conjecture,
    vf(vd1384,esk1_0) = vf(vd1384,vd1386),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_3) ).

cnf(i_0_1,negated_conjecture,
    rpoint(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_1) ).

cnf(i_0_8,plain,
    rpoint(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_8) ).

cnf(i_0_9,plain,
    vd1385 = esk3_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_9) ).

cnf(i_0_2,negated_conjecture,
    rS(vd1386,esk1_0,vd1391),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_2) ).

cnf(i_0_5,negated_conjecture,
    esk1_0 != vd1386,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_5) ).

cnf(i_0_4,negated_conjecture,
    vf(vd1385,esk1_0) = vf(vd1385,vd1386),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_4) ).

cnf(i_0_16,plain,
    ron(vd1384,vd1391),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_16) ).

cnf(i_0_13,plain,
    vd1384 != vd1386,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_13) ).

cnf(i_0_17,plain,
    ron(vd1385,vd1391),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_17) ).

cnf(i_0_12,plain,
    vd1384 != vd1385,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_12) ).

cnf(i_0_14,plain,
    vd1385 != vd1386,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6kn_y9l/lgb.p',i_0_14) ).

cnf(c_0_85,plain,
    ( X1 = X2
    | X3 = X1
    | X4 = X1
    | X4 = X3
    | X1 != X5
    | X3 != X6
    | X4 != X7
    | X8 != X9
    | vf(X3,X1) != vf(X3,X2)
    | vf(X4,X1) != vf(X4,X2)
    | X10 != vskolem1416(X2,X3,X4,X1,X8,X9)
    | X11 != vskolem1419(X10,X2,X3,X4,X1,X8,X9)
    | ~ rpoint(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X5)
    | ~ rline(X9)
    | ~ ron(X3,X8)
    | ~ ron(X4,X8)
    | ~ rS(X1,X2,X8) ),
    i_0_19 ).

cnf(c_0_86,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | X3 = X4
    | X5 != vskolem1419(X6,X4,X1,X2,X3,X7,X7)
    | X6 != vskolem1416(X4,X1,X2,X3,X7,X7)
    | vf(X2,X3) != vf(X2,X4)
    | vf(X1,X3) != vf(X1,X4)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7)
    | ~ rline(X7)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rS(X3,X4,X7) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_85])])])]) ).

cnf(c_0_87,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    i_0_64 ).

cnf(c_0_88,plain,
    rpoint(esk4_0),
    i_0_6 ).

cnf(c_0_89,plain,
    vd1384 = esk4_0,
    i_0_7 ).

cnf(c_0_90,plain,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X3 = X4
    | X5 != vskolem1416(X2,X3,X4,X1,X6,X6)
    | vf(X4,X1) != vf(X4,X2)
    | vf(X3,X1) != vf(X3,X2)
    | ~ ron(X4,X6)
    | ~ ron(X3,X6)
    | ~ rline(X6)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rS(X1,X2,X6) ),
    inference(er,[status(thm)],[c_0_86]) ).

cnf(c_0_91,plain,
    rline(vd1392),
    i_0_15 ).

cnf(c_0_92,plain,
    vd1392 = vd1391,
    i_0_18 ).

cnf(c_0_93,plain,
    rpoint(esk2_0),
    i_0_10 ).

cnf(c_0_94,plain,
    vd1386 = esk2_0,
    i_0_11 ).

cnf(c_0_95,negated_conjecture,
    vf(vd1384,esk1_0) = vf(vd1384,vd1386),
    i_0_3 ).

cnf(c_0_96,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_87])]) ).

cnf(c_0_97,negated_conjecture,
    rpoint(esk1_0),
    i_0_1 ).

cnf(c_0_98,plain,
    rpoint(vd1384),
    inference(rw,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_99,plain,
    rpoint(esk3_0),
    i_0_8 ).

cnf(c_0_100,plain,
    vd1385 = esk3_0,
    i_0_9 ).

cnf(c_0_101,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | X3 = X4
    | vf(X2,X3) != vf(X2,X4)
    | vf(X1,X3) != vf(X1,X4)
    | ~ ron(X2,X5)
    | ~ ron(X1,X5)
    | ~ rline(X5)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rS(X3,X4,X5) ),
    inference(er,[status(thm)],[c_0_90]) ).

cnf(c_0_102,negated_conjecture,
    rS(vd1386,esk1_0,vd1391),
    i_0_2 ).

cnf(c_0_103,plain,
    rline(vd1391),
    inference(rw,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_104,plain,
    rpoint(vd1386),
    inference(rw,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_105,negated_conjecture,
    esk1_0 != vd1386,
    i_0_5 ).

cnf(c_0_106,negated_conjecture,
    vf(vd1384,vd1386) = vf(esk1_0,vd1384),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_98])]) ).

cnf(c_0_107,negated_conjecture,
    vf(vd1385,esk1_0) = vf(vd1385,vd1386),
    i_0_4 ).

cnf(c_0_108,plain,
    rpoint(vd1385),
    inference(rw,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_109,negated_conjecture,
    ( vd1386 = X1
    | vd1386 = X2
    | X1 = X2
    | vf(X2,esk1_0) != vf(X2,vd1386)
    | vf(X1,esk1_0) != vf(X1,vd1386)
    | ~ ron(X2,vd1391)
    | ~ ron(X1,vd1391)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    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_101,c_0_102]),c_0_103]),c_0_104]),c_0_97])]),c_0_105]) ).

cnf(c_0_110,plain,
    ron(vd1384,vd1391),
    i_0_16 ).

cnf(c_0_111,plain,
    vf(esk1_0,vd1384) = vf(vd1386,vd1384),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_106]),c_0_98]),c_0_104])]) ).

cnf(c_0_112,plain,
    vd1384 != vd1386,
    i_0_13 ).

cnf(c_0_113,negated_conjecture,
    vf(vd1385,vd1386) = vf(esk1_0,vd1385),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_96]),c_0_97]),c_0_108])]) ).

cnf(c_0_114,plain,
    ( X1 = vd1384
    | vd1386 = X1
    | vf(X1,esk1_0) != vf(X1,vd1386)
    | ~ ron(X1,vd1391)
    | ~ rpoint(X1) ),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_95]),c_0_106]),c_0_111]),c_0_106]),c_0_111]),c_0_98])]),c_0_112]) ).

cnf(c_0_115,plain,
    ron(vd1385,vd1391),
    i_0_17 ).

cnf(c_0_116,plain,
    vf(esk1_0,vd1385) = vf(vd1386,vd1385),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_113]),c_0_108]),c_0_104])]) ).

cnf(c_0_117,plain,
    vd1384 != vd1385,
    i_0_12 ).

cnf(c_0_118,plain,
    vd1385 != vd1386,
    i_0_14 ).

cnf(c_0_119,plain,
    $false,
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_107]),c_0_113]),c_0_116]),c_0_113]),c_0_116]),c_0_108])]),c_0_117]),c_0_118]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO340+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 : n023.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 16:26:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.70/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.70/2.49  # No SInE strategy applied
% 7.70/2.49  # Trying AutoSched0 for 150 seconds
% 7.70/2.49  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.70/2.49  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.70/2.49  #
% 7.70/2.49  # Preprocessing time       : 0.023 s
% 7.70/2.49  
% 7.70/2.49  # Proof found!
% 7.70/2.49  # SZS status Theorem
% 7.70/2.49  # SZS output start CNFRefutation
% See solution above
% 7.70/2.50  # Training examples: 0 positive, 0 negative
% 7.70/2.50  
% 7.70/2.50  # -------------------------------------------------
% 7.70/2.50  # User time                : 0.031 s
% 7.70/2.50  # System time              : 0.004 s
% 7.70/2.50  # Total time               : 0.035 s
% 7.70/2.50  # Maximum resident set size: 7128 pages
% 7.70/2.50  
%------------------------------------------------------------------------------