TSTP Solution File: GEO273+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO273+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 03:45:03 EDT 2022

% Result   : Theorem 8.40s 2.55s
% Output   : CNFRefutation 8.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   36 (  22 unt;  12 nHn;  36 RR)
%            Number of literals    :  155 ( 109 equ;  97 neg)
%            Maximal clause size   :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-8 aty)
%            Number of variables   :   82 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | vf(X2,vskolem1103(X4,X5,X6,X7,X2,X8,X3,X1)) = vf(X3,X1)
    | X2 != X8
    | X1 != X9
    | X3 != X10
    | X7 != vskolem1092(X2,X8,X3,X1)
    | X6 != vskolem1095(X7,X2,X8,X3,X1)
    | X5 != vskolem1099(X6,X7,X2,X8,X3,X1)
    | X4 != vskolem1102(X5,X6,X7,X2,X8,X3,X1)
    | ~ rpoint(X8)
    | ~ rpoint(X10)
    | ~ rpoint(X9) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_11) ).

cnf(i_0_5,plain,
    rpoint(vd1075),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_5) ).

cnf(i_0_2,plain,
    vd1075 = vd1074,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_2) ).

cnf(i_0_1,negated_conjecture,
    ( vf(vd1069,vd1070) != vf(vd1074,X1)
    | ~ rpoint(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_1) ).

cnf(i_0_18,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | rpoint(vskolem1103(X4,X5,X6,X7,X2,X8,X3,X1))
    | X2 != X8
    | X1 != X9
    | X3 != X10
    | X7 != vskolem1092(X2,X8,X3,X1)
    | X6 != vskolem1095(X7,X2,X8,X3,X1)
    | X5 != vskolem1099(X6,X7,X2,X8,X3,X1)
    | X4 != vskolem1102(X5,X6,X7,X2,X8,X3,X1)
    | ~ rpoint(X8)
    | ~ rpoint(X10)
    | ~ rpoint(X9) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_18) ).

cnf(i_0_9,plain,
    rpoint(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_9) ).

cnf(i_0_10,plain,
    vd1069 = esk2_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_10) ).

cnf(i_0_7,plain,
    rpoint(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_7) ).

cnf(i_0_8,plain,
    vd1070 = esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_8) ).

cnf(i_0_4,plain,
    vd1069 != vd1074,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_4) ).

cnf(i_0_3,plain,
    vd1070 != vd1074,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_3) ).

cnf(i_0_6,plain,
    vd1069 != vd1070,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8e4wr8x7/lgb.p',i_0_6) ).

cnf(c_0_31,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | vf(X2,vskolem1103(X4,X5,X6,X7,X2,X8,X3,X1)) = vf(X3,X1)
    | X2 != X8
    | X1 != X9
    | X3 != X10
    | X7 != vskolem1092(X2,X8,X3,X1)
    | X6 != vskolem1095(X7,X2,X8,X3,X1)
    | X5 != vskolem1099(X6,X7,X2,X8,X3,X1)
    | X4 != vskolem1102(X5,X6,X7,X2,X8,X3,X1)
    | ~ rpoint(X8)
    | ~ rpoint(X10)
    | ~ rpoint(X9) ),
    i_0_11 ).

cnf(c_0_32,plain,
    rpoint(vd1075),
    i_0_5 ).

cnf(c_0_33,plain,
    vd1075 = vd1074,
    i_0_2 ).

cnf(c_0_34,negated_conjecture,
    ( vf(vd1069,vd1070) != vf(vd1074,X1)
    | ~ rpoint(X1) ),
    i_0_1 ).

cnf(c_0_35,plain,
    ( vf(X1,vskolem1103(X2,X3,X4,X5,X1,X1,X6,X7)) = vf(X6,X7)
    | X1 = X6
    | X7 = X6
    | X7 = X1
    | X2 != vskolem1102(X3,X4,X5,X1,X1,X6,X7)
    | X3 != vskolem1099(X4,X5,X1,X1,X6,X7)
    | X4 != vskolem1095(X5,X1,X1,X6,X7)
    | X5 != vskolem1092(X1,X1,X6,X7)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])])]) ).

cnf(c_0_36,plain,
    rpoint(vd1074),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | rpoint(vskolem1103(X4,X5,X6,X7,X2,X8,X3,X1))
    | X2 != X8
    | X1 != X9
    | X3 != X10
    | X7 != vskolem1092(X2,X8,X3,X1)
    | X6 != vskolem1095(X7,X2,X8,X3,X1)
    | X5 != vskolem1099(X6,X7,X2,X8,X3,X1)
    | X4 != vskolem1102(X5,X6,X7,X2,X8,X3,X1)
    | ~ rpoint(X8)
    | ~ rpoint(X10)
    | ~ rpoint(X9) ),
    i_0_18 ).

cnf(c_0_38,negated_conjecture,
    ( X1 = vd1074
    | vd1074 = X2
    | X1 = X2
    | X3 != vskolem1102(X4,X5,X6,vd1074,vd1074,X2,X1)
    | X4 != vskolem1099(X5,X6,vd1074,vd1074,X2,X1)
    | vf(X2,X1) != vf(vd1069,vd1070)
    | X5 != vskolem1095(X6,vd1074,vd1074,X2,X1)
    | X6 != vskolem1092(vd1074,vd1074,X2,X1)
    | ~ rpoint(vskolem1103(X3,X4,X5,X6,vd1074,vd1074,X2,X1))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | rpoint(vskolem1103(X4,X5,X6,X7,X1,X1,X2,X3))
    | X4 != vskolem1102(X5,X6,X7,X1,X1,X2,X3)
    | X5 != vskolem1099(X6,X7,X1,X1,X2,X3)
    | X6 != vskolem1095(X7,X1,X1,X2,X3)
    | X7 != vskolem1092(X1,X1,X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])])]) ).

cnf(c_0_40,plain,
    ( vd1074 = X1
    | X2 = vd1074
    | X2 = X1
    | X3 != vskolem1102(X4,X5,X6,vd1074,vd1074,X1,X2)
    | X4 != vskolem1099(X5,X6,vd1074,vd1074,X1,X2)
    | vf(X1,X2) != vf(vd1069,vd1070)
    | X5 != vskolem1095(X6,vd1074,vd1074,X1,X2)
    | X6 != vskolem1092(vd1074,vd1074,X1,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36])]) ).

cnf(c_0_41,plain,
    ( X1 = vd1074
    | vd1074 = X2
    | X1 = X2
    | X3 != vskolem1099(X4,X5,vd1074,vd1074,X2,X1)
    | vf(X2,X1) != vf(vd1069,vd1070)
    | X4 != vskolem1095(X5,vd1074,vd1074,X2,X1)
    | X5 != vskolem1092(vd1074,vd1074,X2,X1)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_42,plain,
    ( vd1074 = X1
    | X2 = vd1074
    | X2 = X1
    | vf(X1,X2) != vf(vd1069,vd1070)
    | X3 != vskolem1095(X4,vd1074,vd1074,X1,X2)
    | X4 != vskolem1092(vd1074,vd1074,X1,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_43,plain,
    ( X1 = vd1074
    | vd1074 = X2
    | X1 = X2
    | vf(X2,X1) != vf(vd1069,vd1070)
    | X3 != vskolem1092(vd1074,vd1074,X2,X1)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_44,plain,
    rpoint(esk2_0),
    i_0_9 ).

cnf(c_0_45,plain,
    vd1069 = esk2_0,
    i_0_10 ).

cnf(c_0_46,plain,
    rpoint(esk1_0),
    i_0_7 ).

cnf(c_0_47,plain,
    vd1070 = esk1_0,
    i_0_8 ).

cnf(c_0_48,plain,
    ( vd1074 = X1
    | X2 = vd1074
    | X2 = X1
    | vf(X1,X2) != vf(vd1069,vd1070)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_49,plain,
    rpoint(vd1069),
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,plain,
    rpoint(vd1070),
    inference(rw,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,plain,
    vd1069 != vd1074,
    i_0_4 ).

cnf(c_0_52,plain,
    vd1070 != vd1074,
    i_0_3 ).

cnf(c_0_53,plain,
    vd1069 != vd1070,
    i_0_6 ).

cnf(c_0_54,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_48]),c_0_49]),c_0_50])]),c_0_51]),c_0_52]),c_0_53]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO273+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n004.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 : Fri Jun 17 15:58:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.40/2.55  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.40/2.55  # No SInE strategy applied
% 8.40/2.55  # Trying AutoSched0 for 150 seconds
% 8.40/2.55  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.40/2.55  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.40/2.55  #
% 8.40/2.55  # Preprocessing time       : 0.014 s
% 8.40/2.55  
% 8.40/2.55  # Proof found!
% 8.40/2.55  # SZS status Theorem
% 8.40/2.55  # SZS output start CNFRefutation
% See solution above
% 8.40/2.55  # Training examples: 0 positive, 0 negative
% 8.40/2.55  
% 8.40/2.55  # -------------------------------------------------
% 8.40/2.55  # User time                : 0.017 s
% 8.40/2.55  # System time              : 0.005 s
% 8.40/2.55  # Total time               : 0.022 s
% 8.40/2.55  # Maximum resident set size: 7136 pages
% 8.40/2.55  
%------------------------------------------------------------------------------