TSTP Solution File: GEO284+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO284+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 8.03s 2.50s
% Output   : CNFRefutation 8.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   49 (  25 unt;  19 nHn;  49 RR)
%            Number of literals    :  155 (  60 equ;  96 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   69 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
    vd1129 = vd1130,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_23) ).

cnf(i_0_2,plain,
    vd1129 = vd1123,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_2) ).

cnf(i_0_43,plain,
    ( X1 = X2
    | rcenter(X1,esk3_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_43) ).

cnf(i_0_22,plain,
    rpoint(vd1130),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_22) ).

cnf(i_0_1,negated_conjecture,
    ( ~ rcircle(X1)
    | ~ rline(X2)
    | ~ ron(vd1127,X1)
    | ~ ron(vd1123,X2)
    | ~ ron(vd1125,X2)
    | ~ rcenter(vd1123,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_1) ).

cnf(i_0_67,plain,
    ( X1 = X2
    | ron(X1,esk5_2(X2,X1))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_67) ).

cnf(i_0_44,plain,
    ( X1 = X2
    | ron(X1,esk3_2(X2,X1))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_44) ).

cnf(i_0_20,plain,
    rpoint(vd1128),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_20) ).

cnf(i_0_21,plain,
    vd1127 = vd1128,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_21) ).

cnf(i_0_25,plain,
    vd1127 != vd1129,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_25) ).

cnf(i_0_66,plain,
    ( X1 = X2
    | ron(X1,esk5_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_66) ).

cnf(i_0_18,plain,
    rpoint(vd1126),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_18) ).

cnf(i_0_19,plain,
    vd1125 = vd1126,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_19) ).

cnf(i_0_24,plain,
    vd1125 != vd1123,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_24) ).

cnf(i_0_42,plain,
    ( X1 = X2
    | rcircle(esk3_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_42) ).

cnf(i_0_65,plain,
    ( X1 = X2
    | rline(esk5_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p69g4wup/lgb.p',i_0_65) ).

cnf(c_0_84,plain,
    vd1129 = vd1130,
    i_0_23 ).

cnf(c_0_85,plain,
    vd1129 = vd1123,
    i_0_2 ).

cnf(c_0_86,plain,
    ( X1 = X2
    | rcenter(X1,esk3_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_43 ).

cnf(c_0_87,plain,
    rpoint(vd1130),
    i_0_22 ).

cnf(c_0_88,plain,
    vd1130 = vd1123,
    inference(rw,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ rcircle(X1)
    | ~ rline(X2)
    | ~ ron(vd1127,X1)
    | ~ ron(vd1123,X2)
    | ~ ron(vd1125,X2)
    | ~ rcenter(vd1123,X1) ),
    i_0_1 ).

cnf(c_0_90,plain,
    ( X1 = X2
    | rcenter(X1,esk3_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_86])]) ).

cnf(c_0_91,plain,
    rpoint(vd1123),
    inference(rw,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_92,plain,
    ( X1 = X2
    | ron(X1,esk5_2(X2,X1))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    i_0_67 ).

cnf(c_0_93,negated_conjecture,
    ( vd1123 = X1
    | ~ rline(X2)
    | ~ rcircle(esk3_2(vd1123,X1))
    | ~ ron(vd1127,esk3_2(vd1123,X1))
    | ~ ron(vd1123,X2)
    | ~ ron(vd1125,X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).

cnf(c_0_94,plain,
    ( X1 = X2
    | ron(X1,esk5_2(X2,X1))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_92])]) ).

cnf(c_0_95,plain,
    ( X1 = X2
    | ron(X1,esk3_2(X2,X1))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    i_0_44 ).

cnf(c_0_96,plain,
    rpoint(vd1128),
    i_0_20 ).

cnf(c_0_97,plain,
    vd1127 = vd1128,
    i_0_21 ).

cnf(c_0_98,plain,
    vd1127 != vd1129,
    i_0_25 ).

cnf(c_0_99,plain,
    ( vd1123 = X1
    | vd1123 = X2
    | ~ rline(esk5_2(X1,vd1123))
    | ~ rcircle(esk3_2(vd1123,X2))
    | ~ ron(vd1127,esk3_2(vd1123,X2))
    | ~ ron(vd1125,esk5_2(X1,vd1123))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_91])]) ).

cnf(c_0_100,plain,
    ( X1 = X2
    | ron(X1,esk3_2(X2,X1))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_95])]) ).

cnf(c_0_101,plain,
    rpoint(vd1127),
    inference(rw,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_102,plain,
    vd1127 != vd1123,
    inference(rw,[status(thm)],[c_0_98,c_0_85]) ).

cnf(c_0_103,plain,
    ( X1 = X2
    | ron(X1,esk5_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_66 ).

cnf(c_0_104,plain,
    rpoint(vd1126),
    i_0_18 ).

cnf(c_0_105,plain,
    vd1125 = vd1126,
    i_0_19 ).

cnf(c_0_106,plain,
    ( vd1123 = X1
    | ~ rline(esk5_2(X1,vd1123))
    | ~ rcircle(esk3_2(vd1123,vd1127))
    | ~ ron(vd1125,esk5_2(X1,vd1123))
    | ~ rpoint(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_91])]),c_0_102]) ).

cnf(c_0_107,plain,
    ( X1 = X2
    | ron(X1,esk5_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_103])]) ).

cnf(c_0_108,plain,
    rpoint(vd1125),
    inference(rw,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_109,plain,
    vd1125 != vd1123,
    i_0_24 ).

cnf(c_0_110,plain,
    ( X1 = X2
    | rcircle(esk3_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_42 ).

cnf(c_0_111,plain,
    ( ~ rline(esk5_2(vd1125,vd1123))
    | ~ rcircle(esk3_2(vd1123,vd1127)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_91])]),c_0_109]) ).

cnf(c_0_112,plain,
    ( X1 = X2
    | rcircle(esk3_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_110])]) ).

cnf(c_0_113,plain,
    ( X1 = X2
    | rline(esk5_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_65 ).

cnf(c_0_114,plain,
    ~ rline(esk5_2(vd1125,vd1123)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_91]),c_0_101])]),c_0_102]) ).

cnf(c_0_115,plain,
    ( X1 = X2
    | rline(esk5_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_113])]) ).

cnf(c_0_116,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_108]),c_0_91])]),c_0_109]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO284+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 : n005.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 11:03:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.03/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.03/2.50  # No SInE strategy applied
% 8.03/2.50  # Trying AutoSched0 for 150 seconds
% 8.03/2.50  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.03/2.50  # and selection function SelectCQArNTNpEqFirst.
% 8.03/2.50  #
% 8.03/2.50  # Preprocessing time       : 0.013 s
% 8.03/2.50  # Presaturation interreduction done
% 8.03/2.50  
% 8.03/2.50  # Proof found!
% 8.03/2.50  # SZS status Theorem
% 8.03/2.50  # SZS output start CNFRefutation
% See solution above
% 8.03/2.50  # Training examples: 0 positive, 0 negative
% 8.03/2.50  
% 8.03/2.50  # -------------------------------------------------
% 8.03/2.50  # User time                : 0.018 s
% 8.03/2.50  # System time              : 0.007 s
% 8.03/2.50  # Total time               : 0.024 s
% 8.03/2.50  # Maximum resident set size: 7120 pages
% 8.03/2.50  
%------------------------------------------------------------------------------