%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV234+2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 7.34s 2.36s
% Output : CNFRefutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 40 ( 31 unt; 0 nHn; 24 RR)
% Number of literals : 58 ( 16 equ; 20 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 : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
xor(X1,z) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_12) ).
cnf(i_0_9,plain,
xor(X1,X2) = xor(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_9) ).
cnf(i_0_21,plain,
public(enc(xor(km,imp),xor(kek,xor(pin,data)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_21) ).
cnf(i_0_10,plain,
xor(xor(X1,X2),X3) = xor(X1,xor(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_10) ).
cnf(i_0_11,plain,
xor(X1,X1) = z,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_11) ).
cnf(i_0_6,plain,
( public(enc(xor(km,X1),X2))
| ~ public(X1)
| ~ public(enc(xor(X3,X1),X2))
| ~ public(enc(xor(km,imp),X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_6) ).
cnf(i_0_5,plain,
( public(enc(enc(inv(xor(data,km)),X1),X2))
| ~ public(X2)
| ~ public(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_5) ).
cnf(i_0_8,plain,
enc(X1,enc(inv(X1),X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_8) ).
cnf(i_0_14,plain,
public(data),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_14) ).
cnf(i_0_17,plain,
public(enc(xor(kek,pin),pp)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_17) ).
cnf(i_0_22,negated_conjecture,
~ public(enc(pp,a)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_22) ).
cnf(i_0_20,plain,
public(a),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rwu3uozp/input.p',i_0_20) ).
cnf(c_0_35,plain,
xor(X1,z) = X1,
i_0_12 ).
cnf(c_0_36,plain,
xor(X1,X2) = xor(X2,X1),
i_0_9 ).
cnf(c_0_37,plain,
public(enc(xor(km,imp),xor(kek,xor(pin,data)))),
i_0_21 ).
cnf(c_0_38,plain,
xor(xor(X1,X2),X3) = xor(X1,xor(X2,X3)),
i_0_10 ).
cnf(c_0_39,plain,
xor(X1,X1) = z,
i_0_11 ).
cnf(c_0_40,plain,
xor(z,X1) = X1,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
public(enc(xor(km,imp),xor(kek,xor(data,pin)))),
inference(rw,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_42,plain,
xor(X1,xor(X2,X3)) = xor(X2,xor(X3,X1)),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
cnf(c_0_43,plain,
xor(X1,xor(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_44,plain,
( public(enc(xor(km,X1),X2))
| ~ public(X1)
| ~ public(enc(xor(X3,X1),X2))
| ~ public(enc(xor(km,imp),X3)) ),
i_0_6 ).
cnf(c_0_45,plain,
public(enc(xor(km,imp),xor(data,xor(pin,kek)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_36]),c_0_42]),c_0_36]) ).
cnf(c_0_46,plain,
xor(X1,xor(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_43,c_0_36]) ).
cnf(c_0_47,plain,
( public(enc(enc(inv(xor(data,km)),X1),X2))
| ~ public(X2)
| ~ public(X1) ),
i_0_5 ).
cnf(c_0_48,plain,
enc(X1,enc(inv(X1),X2)) = X2,
i_0_8 ).
cnf(c_0_49,plain,
( public(enc(xor(km,X1),X2))
| ~ public(enc(xor(data,xor(pin,xor(kek,X1))),X2))
| ~ public(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]),c_0_38]) ).
cnf(c_0_50,plain,
xor(X1,xor(X2,xor(X3,X1))) = xor(X2,X3),
inference(spm,[status(thm)],[c_0_46,c_0_38]) ).
cnf(c_0_51,plain,
public(data),
i_0_14 ).
cnf(c_0_52,plain,
public(enc(xor(kek,pin),pp)),
i_0_17 ).
cnf(c_0_53,plain,
( public(enc(enc(inv(xor(km,data)),X1),X2))
| ~ public(X2)
| ~ public(X1) ),
inference(rw,[status(thm)],[c_0_47,c_0_36]) ).
cnf(c_0_54,plain,
enc(inv(inv(X1)),X2) = enc(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_48]) ).
cnf(c_0_55,plain,
( public(enc(xor(km,data),X1))
| ~ public(enc(xor(pin,kek),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_56,plain,
public(enc(xor(pin,kek),pp)),
inference(rw,[status(thm)],[c_0_52,c_0_36]) ).
cnf(c_0_57,plain,
( public(enc(X1,X2))
| ~ public(enc(xor(km,data),X1))
| ~ public(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_48]),c_0_54]) ).
cnf(c_0_58,plain,
public(enc(xor(km,data),pp)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
~ public(enc(pp,a)),
i_0_22 ).
cnf(c_0_60,plain,
( public(enc(pp,X1))
| ~ public(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
public(a),
i_0_20 ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV234+2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 15 00:59:09 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.34/2.36 # ENIGMATIC: Solved by autoschedule:
% 7.34/2.36 # No SInE strategy applied
% 7.34/2.36 # Trying AutoSched0 for 150 seconds
% 7.34/2.36 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S060A
% 7.34/2.36 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.34/2.36 #
% 7.34/2.36 # Preprocessing time : 0.025 s
% 7.34/2.36 # Presaturation interreduction done
% 7.34/2.36
% 7.34/2.36 # Proof found!
% 7.34/2.36 # SZS status Theorem
% 7.34/2.36 # SZS output start CNFRefutation
% See solution above
% 7.34/2.36 # Training examples: 0 positive, 0 negative
% 7.34/2.36
% 7.34/2.36 # -------------------------------------------------
% 7.34/2.36 # User time : 0.053 s
% 7.34/2.36 # System time : 0.011 s
% 7.34/2.36 # Total time : 0.064 s
% 7.34/2.36 # Maximum resident set size: 7116 pages
% 7.34/2.36
%------------------------------------------------------------------------------