TSTP Solution File: GEO277+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO277+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 03:45:05 EDT 2022

% Result   : Theorem 7.81s 2.40s
% Output   : CNFRefutation 7.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   53 (  39 unt;   4 nHn;  53 RR)
%            Number of literals    :  129 (  61 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_40,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_40) ).

cnf(i_0_35,plain,
    rpoint(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_35) ).

cnf(i_0_36,plain,
    vd1080 = esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_36) ).

cnf(i_0_89,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-hjvh4bgi/lgb.p',i_0_89) ).

cnf(i_0_87,plain,
    ( X1 = X2
    | X2 != X3
    | X1 != X4
    | vf(X1,X2) != v0
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_87) ).

cnf(i_0_17,plain,
    rpoint(vd1086),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_17) ).

cnf(i_0_16,plain,
    vd1085 = vd1086,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_16) ).

cnf(i_0_15,plain,
    rpoint(vd1089),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_15) ).

cnf(i_0_6,plain,
    ron(vd1089,vd1099),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_6) ).

cnf(i_0_5,plain,
    rline(vd1099),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_5) ).

cnf(i_0_86,plain,
    ( vf(X1,X2) = v0
    | X2 != X3
    | X1 != X4
    | X1 != X2
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_86) ).

cnf(i_0_21,plain,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_21) ).

cnf(i_0_24,plain,
    vd1080 != vd1085,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_24) ).

cnf(i_0_22,plain,
    vf(vd1089,vd1080) = vf(vd1089,vd1085),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_22) ).

cnf(i_0_4,negated_conjecture,
    ron(vd1085,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_4) ).

cnf(i_0_2,negated_conjecture,
    rline(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    ron(vd1089,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_3) ).

cnf(i_0_7,plain,
    ron(vd1085,vd1099),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_7) ).

cnf(i_0_1,negated_conjecture,
    esk1_0 != vd1099,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hjvh4bgi/lgb.p',i_0_1) ).

cnf(c_0_109,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    i_0_40 ).

cnf(c_0_110,plain,
    rpoint(esk4_0),
    i_0_35 ).

cnf(c_0_111,plain,
    vd1080 = esk4_0,
    i_0_36 ).

cnf(c_0_112,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_109])]) ).

cnf(c_0_113,plain,
    rpoint(vd1080),
    inference(rw,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_114,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_89 ).

cnf(c_0_115,plain,
    ( X1 = X2
    | X2 != X3
    | X1 != X4
    | vf(X1,X2) != v0
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_87 ).

cnf(c_0_116,plain,
    rpoint(vd1086),
    i_0_17 ).

cnf(c_0_117,plain,
    vd1085 = vd1086,
    i_0_16 ).

cnf(c_0_118,plain,
    ( vf(X1,vd1080) = vf(vd1080,X1)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_119,plain,
    rpoint(vd1089),
    i_0_15 ).

cnf(c_0_120,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_114])])])]) ).

cnf(c_0_121,plain,
    ron(vd1089,vd1099),
    i_0_6 ).

cnf(c_0_122,plain,
    rline(vd1099),
    i_0_5 ).

cnf(c_0_123,plain,
    ( vf(X1,X2) = v0
    | X2 != X3
    | X1 != X4
    | X1 != X2
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_86 ).

cnf(c_0_124,plain,
    ( X1 = X2
    | vf(X1,X2) != v0
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_115])]) ).

cnf(c_0_125,plain,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    i_0_21 ).

cnf(c_0_126,plain,
    rpoint(vd1085),
    inference(rw,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_127,plain,
    vd1080 != vd1085,
    i_0_24 ).

cnf(c_0_128,plain,
    vf(vd1089,vd1080) = vf(vd1089,vd1085),
    i_0_22 ).

cnf(c_0_129,plain,
    vf(vd1089,vd1080) = vf(vd1080,vd1089),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_130,plain,
    ( X1 = vd1089
    | X2 = vd1099
    | ~ rpoint(X1)
    | ~ rline(X2)
    | ~ ron(vd1089,X2)
    | ~ ron(X1,vd1099)
    | ~ ron(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_119]),c_0_122])]) ).

cnf(c_0_131,negated_conjecture,
    ron(vd1085,esk1_0),
    i_0_4 ).

cnf(c_0_132,negated_conjecture,
    rline(esk1_0),
    i_0_2 ).

cnf(c_0_133,negated_conjecture,
    ron(vd1089,esk1_0),
    i_0_3 ).

cnf(c_0_134,plain,
    ron(vd1085,vd1099),
    i_0_7 ).

cnf(c_0_135,negated_conjecture,
    esk1_0 != vd1099,
    i_0_1 ).

cnf(c_0_136,plain,
    ( vf(X1,X1) = v0
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_123])])]) ).

cnf(c_0_137,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_124,c_0_125]),c_0_126]),c_0_113])]),c_0_127]) ).

cnf(c_0_138,plain,
    vf(vd1089,vd1085) = vf(vd1080,vd1089),
    inference(rw,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_139,negated_conjecture,
    vd1085 = vd1089,
    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_130,c_0_131]),c_0_126]),c_0_132]),c_0_133]),c_0_134])]),c_0_135]) ).

cnf(c_0_140,plain,
    vf(vd1089,vd1089) = v0,
    inference(spm,[status(thm)],[c_0_136,c_0_119]) ).

cnf(c_0_141,plain,
    vf(vd1080,vd1089) != v0,
    inference(rw,[status(thm)],[c_0_137,c_0_129]) ).

cnf(c_0_142,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO277+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jun 18 16:45:35 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.81/2.40  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.81/2.40  # No SInE strategy applied
% 7.81/2.40  # Trying AutoSched0 for 150 seconds
% 7.81/2.40  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.81/2.40  # and selection function SelectCQArNTNpEqFirst.
% 7.81/2.40  #
% 7.81/2.40  # Preprocessing time       : 0.024 s
% 7.81/2.40  # Presaturation interreduction done
% 7.81/2.40  
% 7.81/2.40  # Proof found!
% 7.81/2.40  # SZS status Theorem
% 7.81/2.40  # SZS output start CNFRefutation
% See solution above
% 7.81/2.40  # Training examples: 0 positive, 0 negative
% 7.81/2.40  
% 7.81/2.40  # -------------------------------------------------
% 7.81/2.40  # User time                : 0.076 s
% 7.81/2.40  # System time              : 0.009 s
% 7.81/2.40  # Total time               : 0.085 s
% 7.81/2.40  # Maximum resident set size: 7124 pages
% 7.81/2.40  
%------------------------------------------------------------------------------