TSTP Solution File: GEO296+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO296+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 11.06s 2.94s
% Output   : CNFRefutation 11.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   75 (  57 unt;  13 nHn;  75 RR)
%            Number of literals    :  214 (  93 equ; 106 neg)
%            Maximal clause size   :   23 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-3 aty)
%            Number of variables   :   65 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_4) ).

cnf(i_0_6,plain,
    vd1200 = vd1186,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_6) ).

cnf(i_0_5,plain,
    vd1199 = vd1185,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_5) ).

cnf(i_0_46,plain,
    vd1199 = esk9_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_46) ).

cnf(i_0_32,plain,
    vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_32) ).

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/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_321) ).

cnf(i_0_41,plain,
    rpoint(esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_41) ).

cnf(i_0_42,plain,
    vd1201 = esk7_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_42) ).

cnf(i_0_26,plain,
    rpoint(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_26) ).

cnf(i_0_27,plain,
    vd1187 = esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_27) ).

cnf(i_0_45,plain,
    rpoint(esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_45) ).

cnf(i_0_44,plain,
    esk8_0 = vd1200,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_44) ).

cnf(i_0_63,plain,
    ( X1 = X2
    | X3 = X4
    | X5 = X1
    | ron(X6,X4)
    | ron(X6,X3)
    | rS(X5,X6,X3)
    | X4 != X7
    | X2 != X8
    | X1 != X9
    | X3 != X10
    | X6 != X11
    | X5 != X12
    | vplus(vangle(X5,X1,X6),vangle(X6,X1,X2)) != vangle(X5,X1,X2)
    | ~ rline(X7)
    | ~ rline(X10)
    | ~ rpoint(X9)
    | ~ rpoint(X12)
    | ~ rpoint(X8)
    | ~ rpoint(X11)
    | ~ ron(X2,X3)
    | ~ ron(X1,X4)
    | ~ ron(X1,X3)
    | ~ ron(X5,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_63) ).

cnf(i_0_43,plain,
    rpoint(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_43) ).

cnf(i_0_87,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | ~ rline(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ ron(X5,X1)
    | ~ rS(X5,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_87) ).

cnf(i_0_57,plain,
    ron(vd1200,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_57) ).

cnf(i_0_33,plain,
    rS(vd1201,vd1187,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_33) ).

cnf(i_0_68,plain,
    rline(vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_68) ).

cnf(i_0_61,plain,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_61) ).

cnf(i_0_54,plain,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_54) ).

cnf(i_0_55,plain,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_55) ).

cnf(i_0_56,plain,
    rline(vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_56) ).

cnf(i_0_48,plain,
    ~ rS(vd1186,vd1201,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_48) ).

cnf(i_0_65,plain,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_65) ).

cnf(i_0_31,plain,
    ( ~ rline(X1)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1)
    | ~ ron(vd1186,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_31) ).

cnf(i_0_66,plain,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fbsofuj/lgb.p',i_0_66) ).

cnf(c_0_348,plain,
    vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
    i_0_4 ).

cnf(c_0_349,plain,
    vd1200 = vd1186,
    i_0_6 ).

cnf(c_0_350,plain,
    vd1199 = vd1185,
    i_0_5 ).

cnf(c_0_351,plain,
    vd1199 = esk9_0,
    i_0_46 ).

cnf(c_0_352,plain,
    vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201),
    i_0_32 ).

cnf(c_0_353,plain,
    vangle(vd1186,vd1185,vd1187) = vangle(vd1186,vd1185,vd1201),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_349]),c_0_350]) ).

cnf(c_0_354,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_355,plain,
    rpoint(esk7_0),
    i_0_41 ).

cnf(c_0_356,plain,
    vd1201 = esk7_0,
    i_0_42 ).

cnf(c_0_357,plain,
    rpoint(esk1_0),
    i_0_26 ).

cnf(c_0_358,plain,
    vd1187 = esk1_0,
    i_0_27 ).

cnf(c_0_359,plain,
    rpoint(esk9_0),
    i_0_45 ).

cnf(c_0_360,plain,
    esk9_0 = vd1185,
    inference(rw,[status(thm)],[c_0_351,c_0_350]) ).

cnf(c_0_361,plain,
    esk8_0 = vd1200,
    i_0_44 ).

cnf(c_0_362,plain,
    ( X1 = X2
    | X3 = X4
    | X5 = X1
    | ron(X6,X4)
    | ron(X6,X3)
    | rS(X5,X6,X3)
    | X4 != X7
    | X2 != X8
    | X1 != X9
    | X3 != X10
    | X6 != X11
    | X5 != X12
    | vplus(vangle(X5,X1,X6),vangle(X6,X1,X2)) != vangle(X5,X1,X2)
    | ~ rline(X7)
    | ~ rline(X10)
    | ~ rpoint(X9)
    | ~ rpoint(X12)
    | ~ rpoint(X8)
    | ~ rpoint(X11)
    | ~ ron(X2,X3)
    | ~ ron(X1,X4)
    | ~ ron(X1,X3)
    | ~ ron(X5,X4) ),
    i_0_63 ).

cnf(c_0_363,plain,
    vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201),
    inference(rw,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_364,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_354])])]) ).

cnf(c_0_365,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_366,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_367,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_359,c_0_360]) ).

cnf(c_0_368,plain,
    rpoint(esk8_0),
    i_0_43 ).

cnf(c_0_369,plain,
    esk8_0 = vd1186,
    inference(rw,[status(thm)],[c_0_361,c_0_349]) ).

cnf(c_0_370,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | ~ rline(X2)
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ ron(X5,X1)
    | ~ rS(X5,X3,X1) ),
    i_0_87 ).

cnf(c_0_371,plain,
    ( X1 = X2
    | X3 = X4
    | X3 = X5
    | rS(X4,X6,X1)
    | ron(X6,X2)
    | ron(X6,X1)
    | vplus(vangle(X4,X3,X6),vangle(X6,X3,X5)) != vangle(X4,X3,X5)
    | ~ ron(X4,X2)
    | ~ ron(X5,X1)
    | ~ ron(X3,X2)
    | ~ ron(X3,X1)
    | ~ rpoint(X4)
    | ~ rpoint(X6)
    | ~ rpoint(X3)
    | ~ rpoint(X5)
    | ~ rline(X1)
    | ~ rline(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_362])])])])])]) ).

cnf(c_0_372,plain,
    ( vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) = vangle(vd1186,vd1185,vd1201)
    | vd1187 = vd1201
    | vd1201 = vd1185 ),
    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_365]),c_0_366]),c_0_367])]) ).

cnf(c_0_373,plain,
    rpoint(vd1186),
    inference(rw,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_374,plain,
    ron(vd1200,vd1197),
    i_0_57 ).

cnf(c_0_375,plain,
    ( ~ rS(X1,X2,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_370])])]) ).

cnf(c_0_376,plain,
    rS(vd1201,vd1187,vd1197),
    i_0_33 ).

cnf(c_0_377,plain,
    rline(vd1197),
    i_0_68 ).

cnf(c_0_378,plain,
    ( vd1201 = vd1185
    | vd1187 = vd1201
    | vd1186 = vd1185
    | vd1187 = vd1185
    | X1 = X2
    | rS(vd1186,vd1201,X1)
    | ron(vd1201,X2)
    | ron(vd1201,X1)
    | ~ ron(vd1186,X2)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X2)
    | ~ ron(vd1185,X1)
    | ~ rline(X1)
    | ~ rline(X2) ),
    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_371,c_0_372]),c_0_353]),c_0_373]),c_0_365]),c_0_367]),c_0_366])]) ).

cnf(c_0_379,plain,
    ron(vd1186,vd1197),
    inference(rw,[status(thm)],[c_0_374,c_0_349]) ).

cnf(c_0_380,plain,
    ron(vd1185,vd1197),
    i_0_61 ).

cnf(c_0_381,plain,
    ~ ron(vd1201,vd1197),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_365]),c_0_366]),c_0_377])]) ).

cnf(c_0_382,plain,
    ( vd1187 = vd1185
    | vd1186 = vd1185
    | vd1187 = vd1201
    | vd1201 = vd1185
    | X1 = vd1197
    | rS(vd1186,vd1201,X1)
    | ron(vd1201,X1)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1)
    | ~ rline(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_380]),c_0_377])]),c_0_381]) ).

cnf(c_0_383,plain,
    ron(vd1187,vd1232),
    i_0_54 ).

cnf(c_0_384,plain,
    ron(vd1185,vd1232),
    i_0_55 ).

cnf(c_0_385,plain,
    rline(vd1232),
    i_0_56 ).

cnf(c_0_386,plain,
    ~ rS(vd1186,vd1201,vd1232),
    i_0_48 ).

cnf(c_0_387,plain,
    ~ ron(vd1201,vd1232),
    i_0_65 ).

cnf(c_0_388,plain,
    ( ~ rline(X1)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1)
    | ~ ron(vd1186,X1) ),
    i_0_31 ).

cnf(c_0_389,plain,
    ( vd1232 = vd1197
    | vd1201 = vd1185
    | vd1187 = vd1201
    | vd1186 = vd1185
    | vd1187 = vd1185 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]),c_0_385])]),c_0_386]),c_0_387]) ).

cnf(c_0_390,plain,
    ~ ron(vd1187,vd1197),
    i_0_66 ).

cnf(c_0_391,plain,
    ~ ron(vd1186,vd1232),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_383]),c_0_384]),c_0_385])]) ).

cnf(c_0_392,plain,
    ( vd1187 = vd1185
    | vd1186 = vd1185
    | vd1187 = vd1201
    | vd1201 = vd1185 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_389]),c_0_390]) ).

cnf(c_0_393,plain,
    ( vd1201 = vd1185
    | vd1187 = vd1201
    | vd1187 = vd1185 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_384])]) ).

cnf(c_0_394,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_393]),c_0_387]) ).

cnf(c_0_395,plain,
    vd1201 = vd1185,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_394]),c_0_380])]) ).

cnf(c_0_396,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_395]),c_0_380])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO296+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 06:44:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 11.06/2.94  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.06/2.94  # No SInE strategy applied
% 11.06/2.94  # Trying AutoSched0 for 150 seconds
% 11.06/2.94  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 11.06/2.94  # and selection function SelectCQArNTNpEqFirst.
% 11.06/2.94  #
% 11.06/2.94  # Preprocessing time       : 0.027 s
% 11.06/2.94  # Presaturation interreduction done
% 11.06/2.94  
% 11.06/2.94  # Proof found!
% 11.06/2.94  # SZS status Theorem
% 11.06/2.94  # SZS output start CNFRefutation
% See solution above
% 11.06/2.94  # Training examples: 0 positive, 0 negative
% 11.06/2.94  
% 11.06/2.94  # -------------------------------------------------
% 11.06/2.94  # User time                : 0.260 s
% 11.06/2.94  # System time              : 0.010 s
% 11.06/2.94  # Total time               : 0.270 s
% 11.06/2.94  # Maximum resident set size: 7124 pages
% 11.06/2.94  
%------------------------------------------------------------------------------