%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV234+2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 18:15:40 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 36 unt; 0 def)
% Number of atoms : 70 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 18 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 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 : 66 ( 6 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xor_commutes,axiom,
! [X1,X2,X3] : xor(X1,X2) = xor(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',xor_commutes) ).
fof(xor_assosciative,axiom,
! [X1,X2,X3] : xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',xor_assosciative) ).
fof(initial_knowledge9,axiom,
public(enc(xor(km,imp),xor(kek,xor(pin,data)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',initial_knowledge9) ).
fof(xor_self_cancel,axiom,
! [X1,X2,X3] : xor(X1,X1) = z,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',xor_self_cancel) ).
fof(xor_zero,axiom,
! [X1,X2,X3] : xor(X1,z) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',xor_zero) ).
fof(key_import_cmd,axiom,
! [X1,X2,X3] :
( ( public(X2)
& public(enc(xor(X1,X2),X3))
& public(enc(xor(km,imp),X1)) )
=> public(enc(xor(km,X2),X3)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',key_import_cmd) ).
fof(encrypt_data_cmd,axiom,
! [X1,X2] :
( ( public(X1)
& public(X2) )
=> public(enc(enc(inv(xor(data,km)),X1),X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',encrypt_data_cmd) ).
fof(encrypt_decrypt_cancel,axiom,
! [X1,X2,X3] : enc(X1,enc(inv(X1),X2)) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',encrypt_decrypt_cancel) ).
fof(initial_knowledge2,axiom,
public(data),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',initial_knowledge2) ).
fof(initial_knowledge5,axiom,
public(enc(xor(kek,pin),pp)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',initial_knowledge5) ).
fof(co1,conjecture,
public(enc(pp,a)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',co1) ).
fof(initial_knowledge8,axiom,
public(a),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',initial_knowledge8) ).
fof(c_0_12,plain,
! [X4,X5] : xor(X4,X5) = xor(X5,X4),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[xor_commutes])]) ).
fof(c_0_13,plain,
! [X4,X5,X6] : xor(X4,xor(X5,X6)) = xor(xor(X4,X5),X6),
inference(variable_rename,[status(thm)],[xor_assosciative]) ).
cnf(c_0_14,plain,
public(enc(xor(km,imp),xor(kek,xor(pin,data)))),
inference(split_conjunct,[status(thm)],[initial_knowledge9]) ).
cnf(c_0_15,plain,
xor(X1,X2) = xor(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X4] : xor(X4,X4) = z,
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[xor_self_cancel])]) ).
fof(c_0_18,plain,
! [X4] : xor(X4,z) = X4,
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[xor_zero])]) ).
fof(c_0_19,plain,
! [X4,X5,X6] :
( ~ public(X5)
| ~ public(enc(xor(X4,X5),X6))
| ~ public(enc(xor(km,imp),X4))
| public(enc(xor(km,X5),X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[key_import_cmd])]) ).
cnf(c_0_20,plain,
public(enc(xor(km,imp),xor(kek,xor(data,pin)))),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
xor(X1,xor(X2,X3)) = xor(X3,xor(X1,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
xor(X1,X1) = z,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
xor(X1,z) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X3,X4] :
( ~ public(X3)
| ~ public(X4)
| public(enc(enc(inv(xor(data,km)),X3),X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[encrypt_data_cmd])]) ).
fof(c_0_25,plain,
! [X4,X5] : enc(X4,enc(inv(X4),X5)) = X5,
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[encrypt_decrypt_cancel])]) ).
cnf(c_0_26,plain,
( public(enc(xor(km,X1),X2))
| ~ public(enc(xor(km,imp),X3))
| ~ public(enc(xor(X3,X1),X2))
| ~ public(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
public(enc(xor(km,imp),xor(data,xor(pin,kek)))),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
xor(X1,xor(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_29,plain,
( public(enc(enc(inv(xor(data,km)),X1),X2))
| ~ public(X2)
| ~ public(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
enc(X1,enc(inv(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,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_26,c_0_27]),c_0_16]),c_0_16]) ).
cnf(c_0_32,plain,
xor(X1,xor(X2,xor(X3,X1))) = xor(X3,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_28]),c_0_16]) ).
cnf(c_0_33,plain,
public(data),
inference(split_conjunct,[status(thm)],[initial_knowledge2]) ).
cnf(c_0_34,plain,
public(enc(xor(kek,pin),pp)),
inference(split_conjunct,[status(thm)],[initial_knowledge5]) ).
fof(c_0_35,negated_conjecture,
~ public(enc(pp,a)),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_0_36,plain,
( public(enc(enc(inv(xor(km,data)),X1),X2))
| ~ public(X2)
| ~ public(X1) ),
inference(rw,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_37,plain,
enc(inv(inv(X1)),X2) = enc(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_30]) ).
cnf(c_0_38,plain,
( public(enc(xor(km,data),X1))
| ~ public(enc(xor(pin,kek),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_15]),c_0_33])]) ).
cnf(c_0_39,plain,
public(enc(xor(pin,kek),pp)),
inference(rw,[status(thm)],[c_0_34,c_0_15]) ).
fof(c_0_40,negated_conjecture,
~ public(enc(pp,a)),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( public(enc(X1,X2))
| ~ public(enc(xor(km,data),X1))
| ~ public(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_30]),c_0_37]) ).
cnf(c_0_42,plain,
public(enc(xor(km,data),pp)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
~ public(enc(pp,a)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,plain,
( public(enc(pp,X1))
| ~ public(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
public(a),
inference(split_conjunct,[status(thm)],[initial_knowledge8]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV234+2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n029.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 01:04:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.42 # Preprocessing time : 0.014 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 47
% 0.24/1.42 # Proof object clause steps : 26
% 0.24/1.42 # Proof object formula steps : 21
% 0.24/1.42 # Proof object conjectures : 5
% 0.24/1.42 # Proof object clause conjectures : 2
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 12
% 0.24/1.42 # Proof object initial formulas used : 12
% 0.24/1.42 # Proof object generating inferences : 10
% 0.24/1.42 # Proof object simplifying inferences : 14
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 22
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 22
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 22
% 0.24/1.42 # Processed clauses : 2234
% 0.24/1.42 # ...of these trivial : 43
% 0.24/1.42 # ...subsumed : 1553
% 0.24/1.42 # ...remaining for further processing : 638
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 8
% 0.24/1.42 # Backward-rewritten : 5
% 0.24/1.42 # Generated clauses : 11302
% 0.24/1.42 # ...of the previous two non-trivial : 10941
% 0.24/1.42 # Contextual simplify-reflections : 1380
% 0.24/1.42 # Paramodulations : 11302
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 625
% 0.24/1.42 # Positive orientable unit clauses : 21
% 0.24/1.42 # Positive unorientable unit clauses: 4
% 0.24/1.42 # Negative unit clauses : 10
% 0.24/1.42 # Non-unit-clauses : 590
% 0.24/1.42 # Current number of unprocessed clauses: 8458
% 0.24/1.42 # ...number of literals in the above : 50587
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 13
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 1056656
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 78267
% 0.24/1.42 # Non-unit clause-clause subsumptions : 2637
% 0.24/1.42 # Unit Clause-clause subsumption calls : 1805
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 146
% 0.24/1.42 # BW rewrite match successes : 104
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 448597
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.652 s
% 0.24/1.42 # System time : 0.013 s
% 0.24/1.42 # Total time : 0.665 s
% 0.24/1.42 # Maximum resident set size: 14140 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------