TSTP Solution File: GEO294+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO294+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 03:45:10 EDT 2022

% Result   : Theorem 8.58s 2.65s
% Output   : CNFRefutation 8.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   70 (  52 unt;  12 nHn;  70 RR)
%            Number of literals    :  168 (  91 equ;  81 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    :   16 (  16 usr;  14 con; 0-3 aty)
%            Number of variables   :   58 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_321,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X2 != X4
    | X3 != X5
    | X1 != X6
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ rpoint(X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_321) ).

cnf(i_0_30,plain,
    rpoint(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_30) ).

cnf(i_0_31,plain,
    vd1187 = esk1_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_31) ).

cnf(i_0_46,plain,
    rpoint(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_46) ).

cnf(i_0_47,plain,
    vd1201 = esk7_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_47) ).

cnf(i_0_51,plain,
    vd1199 = esk9_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_51) ).

cnf(i_0_6,plain,
    vd1199 = vd1185,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_6) ).

cnf(i_0_50,plain,
    rpoint(esk9_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_50) ).

cnf(i_0_8,plain,
    ( X1 = X2
    | X3 = X2
    | ron(X3,X4)
    | X2 != X5
    | X1 != X6
    | X4 != X7
    | X3 != X8
    | vangle(X1,X2,X3) != v0
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X8)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_8) ).

cnf(i_0_2,plain,
    vangle(vd1201,vd1185,vd1187) = v0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_2) ).

cnf(i_0_61,plain,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_61) ).

cnf(i_0_62,plain,
    rline(vd1232),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_62) ).

cnf(i_0_60,plain,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_60) ).

cnf(i_0_53,plain,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_53) ).

cnf(i_0_78,plain,
    ( X1 = X2
    | X2 != X3
    | X1 != X4
    | vf(X1,X2) != v0
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_78) ).

cnf(i_0_41,plain,
    vf(vd1199,vd1201) = vf(vd1178,vd1180),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_41) ).

cnf(i_0_17,plain,
    rpoint(esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_17) ).

cnf(i_0_18,plain,
    vd1178 = esk6_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_18) ).

cnf(i_0_21,plain,
    rpoint(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_21) ).

cnf(i_0_22,plain,
    vd1180 = esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_22) ).

cnf(i_0_66,plain,
    ron(vd1199,vd1197),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_66) ).

cnf(i_0_77,plain,
    ( vf(X1,X2) = v0
    | X2 != X3
    | X1 != X4
    | X1 != X2
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_77) ).

cnf(i_0_24,plain,
    vd1178 != vd1180,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_24) ).

cnf(i_0_75,plain,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mdmu6eqd/lgb.p',i_0_75) ).

cnf(c_0_346,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X2 != X4
    | X3 != X5
    | X1 != X6
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ rpoint(X5) ),
    i_0_321 ).

cnf(c_0_347,plain,
    rpoint(esk1_0),
    i_0_30 ).

cnf(c_0_348,plain,
    vd1187 = esk1_0,
    i_0_31 ).

cnf(c_0_349,plain,
    ( vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X1 = X3
    | X1 = X2
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_346])])]) ).

cnf(c_0_350,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_351,plain,
    rpoint(esk7_0),
    i_0_46 ).

cnf(c_0_352,plain,
    vd1201 = esk7_0,
    i_0_47 ).

cnf(c_0_353,plain,
    vd1199 = esk9_0,
    i_0_51 ).

cnf(c_0_354,plain,
    vd1199 = vd1185,
    i_0_6 ).

cnf(c_0_355,plain,
    ( vangle(X1,X2,vd1187) = vangle(vd1187,X2,X1)
    | X1 = vd1187
    | X1 = X2
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_356,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_357,plain,
    rpoint(esk9_0),
    i_0_50 ).

cnf(c_0_358,plain,
    esk9_0 = vd1185,
    inference(rw,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_359,plain,
    ( X1 = X2
    | X3 = X2
    | ron(X3,X4)
    | X2 != X5
    | X1 != X6
    | X4 != X7
    | X3 != X8
    | vangle(X1,X2,X3) != v0
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X8)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    i_0_8 ).

cnf(c_0_360,plain,
    ( vangle(vd1187,X1,vd1201) = vangle(vd1201,X1,vd1187)
    | vd1187 = vd1201
    | vd1201 = X1
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_361,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_362,plain,
    vangle(vd1201,vd1185,vd1187) = v0,
    i_0_2 ).

cnf(c_0_363,plain,
    ( X1 = X2
    | X3 = X1
    | ron(X2,X4)
    | vangle(X3,X1,X2) != v0
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rline(X4)
    | ~ ron(X1,X4)
    | ~ ron(X3,X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_359])])])]) ).

cnf(c_0_364,plain,
    ( vangle(vd1187,vd1185,vd1201) = v0
    | vd1201 = vd1185
    | vd1187 = vd1201 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_362]) ).

cnf(c_0_365,plain,
    ( vd1187 = vd1201
    | vd1201 = vd1185
    | vd1187 = vd1185
    | ron(vd1201,X1)
    | ~ rline(X1)
    | ~ ron(vd1185,X1)
    | ~ ron(vd1187,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_356]),c_0_350]),c_0_361])]) ).

cnf(c_0_366,plain,
    ron(vd1185,vd1232),
    i_0_61 ).

cnf(c_0_367,plain,
    rline(vd1232),
    i_0_62 ).

cnf(c_0_368,plain,
    ron(vd1187,vd1232),
    i_0_60 ).

cnf(c_0_369,plain,
    ~ ron(vd1201,vd1232),
    i_0_53 ).

cnf(c_0_370,plain,
    ( X1 = X2
    | X2 != X3
    | X1 != X4
    | vf(X1,X2) != v0
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_78 ).

cnf(c_0_371,plain,
    vf(vd1199,vd1201) = vf(vd1178,vd1180),
    i_0_41 ).

cnf(c_0_372,plain,
    rpoint(esk6_0),
    i_0_17 ).

cnf(c_0_373,plain,
    vd1178 = esk6_0,
    i_0_18 ).

cnf(c_0_374,plain,
    rpoint(esk4_0),
    i_0_21 ).

cnf(c_0_375,plain,
    vd1180 = esk4_0,
    i_0_22 ).

cnf(c_0_376,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185
    | vd1187 = vd1201 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_367]),c_0_368])]),c_0_369]) ).

cnf(c_0_377,plain,
    ron(vd1199,vd1197),
    i_0_66 ).

cnf(c_0_378,plain,
    ( vf(X1,X2) = v0
    | X2 != X3
    | X1 != X4
    | X1 != X2
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_77 ).

cnf(c_0_379,plain,
    ( X1 = X2
    | vf(X1,X2) != v0
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_370])]) ).

cnf(c_0_380,plain,
    vf(vd1178,vd1180) = vf(vd1185,vd1201),
    inference(rw,[status(thm)],[c_0_371,c_0_354]) ).

cnf(c_0_381,plain,
    rpoint(vd1178),
    inference(rw,[status(thm)],[c_0_372,c_0_373]) ).

cnf(c_0_382,plain,
    rpoint(vd1180),
    inference(rw,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_383,plain,
    vd1178 != vd1180,
    i_0_24 ).

cnf(c_0_384,plain,
    ~ ron(vd1187,vd1197),
    i_0_75 ).

cnf(c_0_385,plain,
    ( vd1201 = vd1185
    | vd1187 = vd1185 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_376]),c_0_369]) ).

cnf(c_0_386,plain,
    ron(vd1185,vd1197),
    inference(rw,[status(thm)],[c_0_377,c_0_354]) ).

cnf(c_0_387,plain,
    ( vf(X1,X1) = v0
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_378])])]) ).

cnf(c_0_388,plain,
    vf(vd1185,vd1201) != v0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_381]),c_0_382])]),c_0_383]) ).

cnf(c_0_389,plain,
    vd1201 = vd1185,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_386])]) ).

cnf(c_0_390,plain,
    vf(vd1185,vd1185) = v0,
    inference(spm,[status(thm)],[c_0_387,c_0_361]) ).

cnf(c_0_391,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_389]),c_0_390])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : GEO294+1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 19:03:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected complete mode:
% 8.58/2.65  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.58/2.65  # No SInE strategy applied
% 8.58/2.65  # Trying AutoSched0 for 150 seconds
% 8.58/2.65  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.58/2.65  # and selection function SelectCQArNTNpEqFirst.
% 8.58/2.65  #
% 8.58/2.65  # Preprocessing time       : 0.027 s
% 8.58/2.65  # Presaturation interreduction done
% 8.58/2.65  
% 8.58/2.65  # Proof found!
% 8.58/2.65  # SZS status Theorem
% 8.58/2.65  # SZS output start CNFRefutation
% See solution above
% 8.58/2.65  # Training examples: 0 positive, 0 negative
% 8.58/2.65  
% 8.58/2.65  # -------------------------------------------------
% 8.58/2.65  # User time                : 0.125 s
% 8.58/2.65  # System time              : 0.017 s
% 8.58/2.65  # Total time               : 0.142 s
% 8.58/2.65  # Maximum resident set size: 7124 pages
% 8.58/2.65  
%------------------------------------------------------------------------------