TSTP Solution File: SWV234+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV234+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 19.45s 3.78s
% Output   : CNFRefutation 19.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   56 (  35 unt;   0 nHn;  41 RR)
%            Number of literals    :  109 (  15 equ;  55 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   89 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    xor(X1,id) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_4) ).

cnf(i_0_1,plain,
    xor(X1,X2) = xor(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_1) ).

cnf(i_0_2,plain,
    xor(xor(X1,X2),X3) = xor(X1,xor(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_2) ).

cnf(i_0_5,plain,
    xor(X1,X1) = id,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_5) ).

cnf(i_0_6,plain,
    ( p(crypt(xor(km,X1),decrypt(xor(X2,X1),crypt(xor(X3,X4),X5))))
    | ~ p(X1)
    | ~ p(crypt(xor(X3,X4),X5))
    | ~ p(crypt(xor(km,imp),X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_6) ).

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/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_9) ).

cnf(i_0_25,plain,
    p(crypt(xor(km,xor(kp,imp)),xor(kek,k3))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_25) ).

cnf(i_0_11,plain,
    ( p(crypt(X1,X2))
    | ~ p(X2)
    | ~ p(crypt(xor(km,data),X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_11) ).

cnf(i_0_19,plain,
    p(data),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_19) ).

cnf(i_0_10,plain,
    ( p(crypt(xor(km,X1),xor(X2,X3)))
    | ~ p(X1)
    | ~ p(X3)
    | ~ p(crypt(xor(km,xor(X1,kp)),X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_10) ).

cnf(i_0_24,plain,
    p(k3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_24) ).

cnf(i_0_18,plain,
    p(imp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_18) ).

cnf(i_0_3,plain,
    decrypt(X1,crypt(X1,X2)) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_3) ).

cnf(i_0_14,plain,
    ( p(xor(X1,X2))
    | ~ p(X2)
    | ~ p(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_14) ).

cnf(i_0_22,plain,
    p(crypt(xor(kek,pin),pp)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_22) ).

cnf(i_0_21,plain,
    p(pin),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_21) ).

cnf(i_0_26,negated_conjecture,
    ~ p(crypt(pp,a)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_26) ).

cnf(i_0_23,plain,
    p(a),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ie0qmbko/input.p',i_0_23) ).

cnf(c_0_45,plain,
    xor(X1,id) = X1,
    i_0_4 ).

cnf(c_0_46,plain,
    xor(X1,X2) = xor(X2,X1),
    i_0_1 ).

cnf(c_0_47,plain,
    xor(xor(X1,X2),X3) = xor(X1,xor(X2,X3)),
    i_0_2 ).

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

cnf(c_0_49,plain,
    xor(id,X1) = X1,
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,plain,
    ( p(crypt(xor(km,X1),decrypt(xor(X2,X1),crypt(xor(X3,X4),X5))))
    | ~ p(X1)
    | ~ p(crypt(xor(X3,X4),X5))
    | ~ p(crypt(xor(km,imp),X2)) ),
    i_0_6 ).

cnf(c_0_51,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_52,plain,
    xor(X1,xor(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_53,plain,
    p(crypt(xor(km,xor(kp,imp)),xor(kek,k3))),
    i_0_25 ).

cnf(c_0_54,plain,
    ( p(crypt(X1,X2))
    | ~ p(X2)
    | ~ p(crypt(xor(km,data),X1)) ),
    i_0_11 ).

cnf(c_0_55,plain,
    ( p(crypt(xor(km,X1),decrypt(xor(X1,X2),crypt(xor(X3,X4),X5))))
    | ~ p(crypt(xor(km,imp),X2))
    | ~ p(crypt(xor(X3,X4),X5))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_46]) ).

cnf(c_0_56,plain,
    p(data),
    i_0_19 ).

cnf(c_0_57,plain,
    ( p(crypt(xor(km,X1),xor(X2,X3)))
    | ~ p(X1)
    | ~ p(X3)
    | ~ p(crypt(xor(km,xor(X1,kp)),X2)) ),
    i_0_10 ).

cnf(c_0_58,plain,
    ( p(crypt(xor(km,xor(X1,kp)),X2))
    | ~ p(crypt(xor(km,xor(kp,X1)),xor(X3,X2)))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,plain,
    p(crypt(xor(km,xor(kp,imp)),xor(k3,kek))),
    inference(rw,[status(thm)],[c_0_53,c_0_46]) ).

cnf(c_0_60,plain,
    p(k3),
    i_0_24 ).

cnf(c_0_61,plain,
    p(imp),
    i_0_18 ).

cnf(c_0_62,plain,
    ( p(crypt(decrypt(xor(data,X1),crypt(xor(X2,X3),X4)),X5))
    | ~ p(crypt(xor(km,imp),X1))
    | ~ p(crypt(xor(X2,X3),X4))
    | ~ p(X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_63,plain,
    decrypt(X1,crypt(X1,X2)) = X2,
    i_0_3 ).

cnf(c_0_64,plain,
    ( p(crypt(xor(km,X1),xor(X2,X3)))
    | ~ p(crypt(xor(km,xor(kp,X1)),X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_46]) ).

cnf(c_0_65,plain,
    p(crypt(xor(km,xor(kp,imp)),kek)),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61])]),c_0_46]) ).

cnf(c_0_66,plain,
    ( p(crypt(X1,X2))
    | ~ p(crypt(xor(km,imp),X3))
    | ~ p(crypt(xor(data,X3),X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_67,plain,
    ( p(crypt(xor(km,imp),xor(kek,X1)))
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_61])]) ).

cnf(c_0_68,plain,
    ( p(crypt(X1,X2))
    | ~ p(crypt(xor(km,imp),xor(data,X3)))
    | ~ p(crypt(X3,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_52]) ).

cnf(c_0_69,plain,
    ( p(crypt(xor(km,imp),X1))
    | ~ p(xor(kek,X1)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_52]) ).

cnf(c_0_70,plain,
    xor(X1,xor(X2,X3)) = xor(X2,xor(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_46]),c_0_47]) ).

cnf(c_0_71,plain,
    ( p(crypt(X1,X2))
    | ~ p(xor(data,xor(kek,X3)))
    | ~ p(crypt(X3,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_72,plain,
    ( p(xor(X1,X2))
    | ~ p(X2)
    | ~ p(X1) ),
    i_0_14 ).

cnf(c_0_73,plain,
    p(crypt(xor(kek,pin),pp)),
    i_0_22 ).

cnf(c_0_74,plain,
    xor(X1,xor(X2,xor(X1,X2))) = id,
    inference(spm,[status(thm)],[c_0_48,c_0_47]) ).

cnf(c_0_75,plain,
    ( p(crypt(X1,X2))
    | ~ p(xor(kek,X3))
    | ~ p(crypt(X3,X1))
    | ~ p(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_56])]) ).

cnf(c_0_76,plain,
    p(crypt(xor(pin,kek),pp)),
    inference(rw,[status(thm)],[c_0_73,c_0_46]) ).

cnf(c_0_77,plain,
    xor(X1,xor(X2,X1)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_74]),c_0_45]) ).

cnf(c_0_78,plain,
    p(pin),
    i_0_21 ).

cnf(c_0_79,negated_conjecture,
    ~ p(crypt(pp,a)),
    i_0_26 ).

cnf(c_0_80,plain,
    ( p(crypt(pp,X1))
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78])]) ).

cnf(c_0_81,plain,
    p(a),
    i_0_23 ).

cnf(c_0_82,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV234+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n021.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 : Wed Jun 15 03:09:30 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.21/0.45  # ENIGMATIC: Selected complete mode:
% 19.45/3.78  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 19.45/3.78  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 21; version: 991; iters: 150)
% 19.45/3.78  # Preprocessing time       : 1.226 s
% 19.45/3.78  # Presaturation interreduction done
% 19.45/3.78  
% 19.45/3.78  # Proof found!
% 19.45/3.78  # SZS status Theorem
% 19.45/3.78  # SZS output start CNFRefutation
% See solution above
% 19.45/3.78  # Training examples: 0 positive, 0 negative
% 19.45/3.78  
% 19.45/3.78  # -------------------------------------------------
% 19.45/3.78  # User time                : 1.261 s
% 19.45/3.78  # System time              : 0.139 s
% 19.45/3.78  # Total time               : 1.400 s
% 19.45/3.78  # ...preprocessing         : 1.226 s
% 19.45/3.78  # ...main loop             : 0.173 s
% 19.45/3.78  # Maximum resident set size: 187216 pages
% 19.45/3.78  
%------------------------------------------------------------------------------