TSTP Solution File: SWV235+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV235+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 : Wed Jul 20 17:46:18 EDT 2022

% Result   : Theorem 7.85s 2.22s
% Output   : CNFRefutation 7.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   49 (  28 unt;   0 nHn;  38 RR)
%            Number of literals    :   89 (  11 equ;  43 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   61 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    ( p(crypt(xor(km,xor(X1,kp)),xor(X2,X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(crypt(xor(km,xor(kp,X1)),X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_9) ).

cnf(i_0_5,plain,
    xor(X1,X1) = id,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_5) ).

cnf(i_0_8,plain,
    ( p(crypt(xor(km,xor(kp,X1)),X2))
    | ~ p(X1)
    | ~ p(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_8) ).

cnf(i_0_25,plain,
    p(crypt(xor(km,xor(imp,kp)),kek)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_25) ).

cnf(i_0_4,plain,
    xor(X1,id) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_4) ).

cnf(i_0_1,plain,
    xor(X1,X2) = xor(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_1) ).

cnf(i_0_2,plain,
    xor(xor(X1,X2),X3) = xor(X1,xor(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_2) ).

cnf(i_0_14,plain,
    ( p(xor(X1,X2))
    | ~ p(X2)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_14) ).

cnf(i_0_17,plain,
    p(kp),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_17) ).

cnf(i_0_7,plain,
    ( p(crypt(xor(X1,X2),X3))
    | ~ p(X2)
    | ~ p(crypt(xor(km,X2),X3))
    | ~ p(crypt(xor(km,exp),X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_7) ).

cnf(i_0_27,plain,
    p(exp),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_27) ).

cnf(i_0_22,plain,
    p(crypt(xor(km,pin),pp)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_22) ).

cnf(i_0_21,plain,
    p(pin),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_21) ).

cnf(i_0_29,negated_conjecture,
    ~ p(crypt(pp,a)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_29) ).

cnf(i_0_16,plain,
    ( p(crypt(X1,X2))
    | ~ p(X1)
    | ~ p(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_16) ).

cnf(i_0_28,plain,
    p(a),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_28) ).

cnf(i_0_15,plain,
    ( p(X1)
    | ~ p(X2)
    | ~ p(crypt(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-210y_bhc/input.p',i_0_15) ).

cnf(c_0_47,plain,
    ( p(crypt(xor(km,xor(X1,kp)),xor(X2,X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(crypt(xor(km,xor(kp,X1)),X3)) ),
    i_0_9 ).

cnf(c_0_48,plain,
    xor(X1,X1) = id,
    i_0_5 ).

cnf(c_0_49,plain,
    ( p(crypt(xor(km,xor(kp,X1)),X2))
    | ~ p(X1)
    | ~ p(X2) ),
    i_0_8 ).

cnf(c_0_50,plain,
    ( p(crypt(xor(km,xor(X1,kp)),id))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_51,plain,
    p(crypt(xor(km,xor(imp,kp)),kek)),
    i_0_25 ).

cnf(c_0_52,plain,
    xor(X1,id) = X1,
    i_0_4 ).

cnf(c_0_53,plain,
    xor(X1,X2) = xor(X2,X1),
    i_0_1 ).

cnf(c_0_54,plain,
    ( p(crypt(xor(km,xor(X1,kp)),id))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,plain,
    xor(xor(X1,X2),X3) = xor(X1,xor(X2,X3)),
    i_0_2 ).

cnf(c_0_56,plain,
    xor(id,X1) = X1,
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,plain,
    ( p(crypt(xor(km,xor(kp,X1)),id))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_53]) ).

cnf(c_0_58,plain,
    xor(X1,xor(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_48]),c_0_56]) ).

cnf(c_0_59,plain,
    ( p(crypt(xor(km,X1),id))
    | ~ p(xor(kp,X1)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_60,plain,
    xor(X1,xor(X2,X3)) = xor(X2,xor(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_53]),c_0_55]) ).

cnf(c_0_61,plain,
    ( p(crypt(X1,id))
    | ~ p(xor(km,xor(kp,X1))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_60]) ).

cnf(c_0_62,plain,
    ( p(xor(X1,X2))
    | ~ p(X2)
    | ~ p(X1) ),
    i_0_14 ).

cnf(c_0_63,plain,
    ( p(crypt(X1,id))
    | ~ p(xor(km,xor(X1,kp))) ),
    inference(spm,[status(thm)],[c_0_61,c_0_53]) ).

cnf(c_0_64,plain,
    ( p(xor(X1,xor(X2,X3)))
    | ~ p(xor(X1,X2))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_62,c_0_55]) ).

cnf(c_0_65,plain,
    p(kp),
    i_0_17 ).

cnf(c_0_66,plain,
    ( p(crypt(xor(X1,X2),X3))
    | ~ p(X2)
    | ~ p(crypt(xor(km,X2),X3))
    | ~ p(crypt(xor(km,exp),X1)) ),
    i_0_7 ).

cnf(c_0_67,plain,
    ( p(crypt(X1,id))
    | ~ p(xor(km,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).

cnf(c_0_68,plain,
    p(exp),
    i_0_27 ).

cnf(c_0_69,plain,
    ( p(crypt(X1,X2))
    | ~ p(crypt(xor(km,X1),X2))
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_56]),c_0_58]),c_0_68])]) ).

cnf(c_0_70,plain,
    p(crypt(xor(km,pin),pp)),
    i_0_22 ).

cnf(c_0_71,plain,
    p(pin),
    i_0_21 ).

cnf(c_0_72,negated_conjecture,
    ~ p(crypt(pp,a)),
    i_0_29 ).

cnf(c_0_73,plain,
    ( p(crypt(X1,X2))
    | ~ p(X1)
    | ~ p(X2) ),
    i_0_16 ).

cnf(c_0_74,plain,
    p(a),
    i_0_28 ).

cnf(c_0_75,plain,
    ( p(X1)
    | ~ p(X2)
    | ~ p(crypt(X2,X1)) ),
    i_0_15 ).

cnf(c_0_76,plain,
    p(crypt(pin,pp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_77,negated_conjecture,
    ~ p(pp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).

cnf(c_0_78,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_71])]),c_0_77]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SWV235+1 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun 14 19:40:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.85/2.22  # ENIGMATIC: Solved by autoschedule:
% 7.85/2.22  # No SInE strategy applied
% 7.85/2.22  # Trying AutoSched0 for 150 seconds
% 7.85/2.22  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S070I
% 7.85/2.22  # and selection function SelectVGNonCR.
% 7.85/2.22  #
% 7.85/2.22  # Preprocessing time       : 0.022 s
% 7.85/2.22  # Presaturation interreduction done
% 7.85/2.22  
% 7.85/2.22  # Proof found!
% 7.85/2.22  # SZS status Theorem
% 7.85/2.22  # SZS output start CNFRefutation
% See solution above
% 7.85/2.22  # Training examples: 0 positive, 0 negative
% 7.85/2.22  
% 7.85/2.22  # -------------------------------------------------
% 7.85/2.22  # User time                : 0.081 s
% 7.85/2.22  # System time              : 0.005 s
% 7.85/2.22  # Total time               : 0.087 s
% 7.85/2.22  # Maximum resident set size: 7120 pages
% 7.85/2.22  
%------------------------------------------------------------------------------