TSTP Solution File: GEO286+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO286+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 03:45:07 EDT 2022

% Result   : Theorem 11.45s 3.07s
% Output   : CNFRefutation 11.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   48 (  30 unt;  14 nHn;  48 RR)
%            Number of literals    :  210 (  39 equ; 143 neg)
%            Maximal clause size   :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-7 aty)
%            Number of variables   :   89 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
    vd1129 = vd1130,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_17) ).

cnf(i_0_9,plain,
    vd1129 = vd1123,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_9) ).

cnf(i_0_44,plain,
    ( ron(X1,X2)
    | rinside(X1,X2)
    | rR(esk4_7(X2,X3,X4,X5,X6,X7,X1),X6,X1)
    | X1 != X8
    | X6 != X7
    | X4 != X5
    | X2 != X3
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rcircle(X3)
    | ~ rline(X5)
    | ~ ron(X1,X4)
    | ~ ron(X6,X4)
    | ~ rinside(X6,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_44) ).

cnf(i_0_12,plain,
    rpoint(vd1126),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_12) ).

cnf(i_0_13,plain,
    vd1125 = vd1126,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_13) ).

cnf(i_0_16,plain,
    rpoint(vd1130),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_16) ).

cnf(i_0_1,negated_conjecture,
    ( ~ rpoint(X1)
    | ~ ron(X1,vd1152)
    | ~ ron(X1,vd1151)
    | ~ rR(X1,vd1123,vd1125) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_1) ).

cnf(i_0_42,plain,
    ( ron(X1,X2)
    | rinside(X1,X2)
    | ron(esk4_7(X2,X3,X4,X5,X6,X7,X1),X4)
    | X1 != X8
    | X6 != X7
    | X4 != X5
    | X2 != X3
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rcircle(X3)
    | ~ rline(X5)
    | ~ ron(X1,X4)
    | ~ ron(X6,X4)
    | ~ rinside(X6,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_42) ).

cnf(i_0_27,plain,
    rline(vd1151),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_27) ).

cnf(i_0_4,plain,
    ron(vd1123,vd1151),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_4) ).

cnf(i_0_5,plain,
    ron(vd1125,vd1151),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_5) ).

cnf(i_0_43,plain,
    ( ron(X1,X2)
    | rinside(X1,X2)
    | ron(esk4_7(X2,X3,X4,X5,X6,X7,X1),X2)
    | X1 != X8
    | X6 != X7
    | X4 != X5
    | X2 != X3
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rcircle(X3)
    | ~ rline(X5)
    | ~ ron(X1,X4)
    | ~ ron(X6,X4)
    | ~ rinside(X6,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_43) ).

cnf(i_0_142,plain,
    ( rinside(X1,X2)
    | ~ rcenter(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_142) ).

cnf(i_0_7,plain,
    rcenter(vd1123,vd1152),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_7) ).

cnf(i_0_6,plain,
    rcircle(vd1152),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_6) ).

cnf(i_0_3,plain,
    ~ rinside(vd1125,vd1152),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_3) ).

cnf(i_0_2,plain,
    ~ ron(vd1125,vd1152),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_2) ).

cnf(i_0_41,plain,
    ( ron(X1,X2)
    | rinside(X1,X2)
    | rpoint(esk4_7(X2,X3,X4,X5,X6,X7,X1))
    | X1 != X8
    | X6 != X7
    | X4 != X5
    | X2 != X3
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rcircle(X3)
    | ~ rline(X5)
    | ~ ron(X1,X4)
    | ~ ron(X6,X4)
    | ~ rinside(X6,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_mxwk49x/lgb.p',i_0_41) ).

cnf(c_0_161,plain,
    vd1129 = vd1130,
    i_0_17 ).

cnf(c_0_162,plain,
    vd1129 = vd1123,
    i_0_9 ).

cnf(c_0_163,plain,
    ( ron(X1,X2)
    | rinside(X1,X2)
    | rR(esk4_7(X2,X3,X4,X5,X6,X7,X1),X6,X1)
    | X1 != X8
    | X6 != X7
    | X4 != X5
    | X2 != X3
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rcircle(X3)
    | ~ rline(X5)
    | ~ ron(X1,X4)
    | ~ ron(X6,X4)
    | ~ rinside(X6,X2) ),
    i_0_44 ).

cnf(c_0_164,plain,
    rpoint(vd1126),
    i_0_12 ).

cnf(c_0_165,plain,
    vd1125 = vd1126,
    i_0_13 ).

cnf(c_0_166,plain,
    rpoint(vd1130),
    i_0_16 ).

cnf(c_0_167,plain,
    vd1130 = vd1123,
    inference(rw,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ rpoint(X1)
    | ~ ron(X1,vd1152)
    | ~ ron(X1,vd1151)
    | ~ rR(X1,vd1123,vd1125) ),
    i_0_1 ).

cnf(c_0_169,plain,
    ( rinside(X1,X2)
    | rR(esk4_7(X2,X2,X3,X3,X4,X4,X1),X4,X1)
    | ron(X1,X2)
    | ~ rline(X3)
    | ~ rcircle(X2)
    | ~ rinside(X4,X2)
    | ~ ron(X4,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_163])])])]) ).

cnf(c_0_170,plain,
    rpoint(vd1125),
    inference(rw,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_171,plain,
    rpoint(vd1123),
    inference(rw,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_172,plain,
    ( ron(X1,X2)
    | rinside(X1,X2)
    | ron(esk4_7(X2,X3,X4,X5,X6,X7,X1),X4)
    | X1 != X8
    | X6 != X7
    | X4 != X5
    | X2 != X3
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rcircle(X3)
    | ~ rline(X5)
    | ~ ron(X1,X4)
    | ~ ron(X6,X4)
    | ~ rinside(X6,X2) ),
    i_0_42 ).

cnf(c_0_173,negated_conjecture,
    ( rinside(vd1125,X1)
    | ron(vd1125,X1)
    | ~ rline(X2)
    | ~ rcircle(X1)
    | ~ rinside(vd1123,X1)
    | ~ ron(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1125),vd1152)
    | ~ ron(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1125),vd1151)
    | ~ ron(vd1123,X2)
    | ~ ron(vd1125,X2)
    | ~ rpoint(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1125)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_171])]) ).

cnf(c_0_174,plain,
    ( rinside(X1,X2)
    | ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X3)
    | ron(X1,X2)
    | ~ rline(X3)
    | ~ rcircle(X2)
    | ~ rinside(X4,X2)
    | ~ ron(X4,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_172])])])]) ).

cnf(c_0_175,plain,
    rline(vd1151),
    i_0_27 ).

cnf(c_0_176,plain,
    ron(vd1123,vd1151),
    i_0_4 ).

cnf(c_0_177,plain,
    ron(vd1125,vd1151),
    i_0_5 ).

cnf(c_0_178,plain,
    ( ron(X1,X2)
    | rinside(X1,X2)
    | ron(esk4_7(X2,X3,X4,X5,X6,X7,X1),X2)
    | X1 != X8
    | X6 != X7
    | X4 != X5
    | X2 != X3
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rcircle(X3)
    | ~ rline(X5)
    | ~ ron(X1,X4)
    | ~ ron(X6,X4)
    | ~ rinside(X6,X2) ),
    i_0_43 ).

cnf(c_0_179,plain,
    ( rinside(X1,X2)
    | ~ rcenter(X1,X2) ),
    i_0_142 ).

cnf(c_0_180,plain,
    rcenter(vd1123,vd1152),
    i_0_7 ).

cnf(c_0_181,plain,
    ( rinside(vd1125,X1)
    | ron(vd1125,X1)
    | ~ rcircle(X1)
    | ~ rinside(vd1123,X1)
    | ~ ron(esk4_7(X1,X1,vd1151,vd1151,vd1123,vd1123,vd1125),vd1152)
    | ~ rpoint(esk4_7(X1,X1,vd1151,vd1151,vd1123,vd1123,vd1125)) ),
    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(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]),c_0_176]),c_0_177]),c_0_170]),c_0_171])]) ).

cnf(c_0_182,plain,
    ( rinside(X1,X2)
    | ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X2)
    | ron(X1,X2)
    | ~ rline(X3)
    | ~ rcircle(X2)
    | ~ rinside(X4,X2)
    | ~ ron(X4,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_178])])])]) ).

cnf(c_0_183,plain,
    rcircle(vd1152),
    i_0_6 ).

cnf(c_0_184,plain,
    rinside(vd1123,vd1152),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_185,plain,
    ~ rinside(vd1125,vd1152),
    i_0_3 ).

cnf(c_0_186,plain,
    ~ ron(vd1125,vd1152),
    i_0_2 ).

cnf(c_0_187,plain,
    ( ron(X1,X2)
    | rinside(X1,X2)
    | rpoint(esk4_7(X2,X3,X4,X5,X6,X7,X1))
    | X1 != X8
    | X6 != X7
    | X4 != X5
    | X2 != X3
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rcircle(X3)
    | ~ rline(X5)
    | ~ ron(X1,X4)
    | ~ ron(X6,X4)
    | ~ rinside(X6,X2) ),
    i_0_41 ).

cnf(c_0_188,plain,
    ~ rpoint(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125)),
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]),c_0_184]),c_0_175]),c_0_176]),c_0_177]),c_0_170]),c_0_171])]),c_0_185]),c_0_186]) ).

cnf(c_0_189,plain,
    ( rinside(X1,X2)
    | ron(X1,X2)
    | rpoint(esk4_7(X2,X2,X3,X3,X4,X4,X1))
    | ~ rline(X3)
    | ~ rcircle(X2)
    | ~ rinside(X4,X2)
    | ~ ron(X4,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_187])])])]) ).

cnf(c_0_190,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_175]),c_0_183]),c_0_184]),c_0_176]),c_0_177]),c_0_170]),c_0_171])]),c_0_185]),c_0_186]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GEO286+1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.28  % Computer : n019.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Sat Jun 18 02:36:41 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.38  # ENIGMATIC: Selected complete mode:
% 11.45/3.07  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.45/3.07  # No SInE strategy applied
% 11.45/3.07  # Trying AutoSched0 for 150 seconds
% 11.45/3.07  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 11.45/3.07  # and selection function SelectMaxLComplexAvoidPosPred.
% 11.45/3.07  #
% 11.45/3.07  # Preprocessing time       : 0.024 s
% 11.45/3.07  
% 11.45/3.07  # Proof found!
% 11.45/3.07  # SZS status Theorem
% 11.45/3.07  # SZS output start CNFRefutation
% See solution above
% 11.45/3.07  # Training examples: 0 positive, 0 negative
% 11.45/3.07  
% 11.45/3.07  # -------------------------------------------------
% 11.45/3.07  # User time                : 0.035 s
% 11.45/3.07  # System time              : 0.006 s
% 11.45/3.07  # Total time               : 0.041 s
% 11.45/3.07  # Maximum resident set size: 7124 pages
% 11.45/3.07  
%------------------------------------------------------------------------------