TSTP Solution File: SWV235+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV235+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 18:15:41 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 35 unt; 0 def)
% Number of atoms : 120 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 111 ( 53 ~; 44 |; 7 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 88 ( 1 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xor_commutative,axiom,
! [X1,X2] : xor(X1,X2) = xor(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',xor_commutative) ).
fof(xor_associative,axiom,
! [X1,X2,X3] : xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',xor_associative) ).
fof(key_part_import___part_3,axiom,
! [X6,X9,X11] :
( ( p(X6)
& p(crypt(xor(km,xor(X9,kp)),X11))
& p(X9) )
=> p(crypt(xor(km,X9),xor(X11,X6))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',key_part_import___part_3) ).
fof(key_part_import___part_1,axiom,
! [X10,X9] :
( ( p(X10)
& p(X9) )
=> p(crypt(xor(km,xor(kp,X9)),X10)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',key_part_import___part_1) ).
fof(xor_rules_2,axiom,
! [X1] : xor(X1,X1) = id,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',xor_rules_2) ).
fof(an_account_number,axiom,
p(a),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',an_account_number) ).
fof(xor_rules_1,axiom,
! [X1] : xor(X1,id) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',xor_rules_1) ).
fof(key_export,axiom,
! [X9,X6,X4] :
( ( p(crypt(xor(km,X9),X6))
& p(X9)
& p(crypt(xor(km,exp),X4)) )
=> p(crypt(xor(X4,X9),X6)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',key_export) ).
fof(initial_knowledge_of_intruder_11,axiom,
p(exp),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',initial_knowledge_of_intruder_11) ).
fof(find_pin,conjecture,
p(crypt(pp,a)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',find_pin) ).
fof(initial_knowledge_of_intruder_6,axiom,
p(crypt(xor(km,pin),pp)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',initial_knowledge_of_intruder_6) ).
fof(encrypt_knowledge,axiom,
! [X1,X2] :
( ( p(X2)
& p(X1) )
=> p(crypt(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',encrypt_knowledge) ).
fof(decrypt_knowledge,axiom,
! [X1,X2] :
( ( p(crypt(X1,X2))
& p(X1) )
=> p(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',decrypt_knowledge) ).
fof(initial_knowledge_of_intruder_5,axiom,
p(pin),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',initial_knowledge_of_intruder_5) ).
fof(c_0_14,plain,
! [X3,X4] : xor(X3,X4) = xor(X4,X3),
inference(variable_rename,[status(thm)],[xor_commutative]) ).
fof(c_0_15,plain,
! [X4,X5,X6] : xor(X4,xor(X5,X6)) = xor(xor(X4,X5),X6),
inference(variable_rename,[status(thm)],[xor_associative]) ).
fof(c_0_16,plain,
! [X12,X13,X14] :
( ~ p(X12)
| ~ p(crypt(xor(km,xor(X13,kp)),X14))
| ~ p(X13)
| p(crypt(xor(km,X13),xor(X14,X12))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[key_part_import___part_3])]) ).
cnf(c_0_17,plain,
xor(X1,X2) = xor(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X11,X12] :
( ~ p(X11)
| ~ p(X12)
| p(crypt(xor(km,xor(kp,X12)),X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[key_part_import___part_1])]) ).
cnf(c_0_20,plain,
( p(crypt(xor(km,X1),xor(X2,X3)))
| ~ p(X1)
| ~ p(crypt(xor(km,xor(X1,kp)),X2))
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
xor(X1,xor(X2,X3)) = xor(X3,xor(X1,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( p(crypt(xor(km,xor(kp,X1)),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
xor(X1,xor(X2,X3)) = xor(X2,xor(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_17]),c_0_18]) ).
cnf(c_0_24,plain,
( p(crypt(xor(km,X1),xor(X2,X3)))
| ~ p(crypt(xor(kp,xor(km,X1)),X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( p(crypt(xor(kp,xor(km,X1)),X2))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_26,plain,
! [X2] : xor(X2,X2) = id,
inference(variable_rename,[status(thm)],[xor_rules_2]) ).
fof(c_0_27,plain,
( ~ epred8_0
<=> ! [X2] : ~ p(X2) ),
introduced(definition) ).
fof(c_0_28,plain,
( ~ epred7_0
<=> ! [X1] :
( p(crypt(xor(km,X1),id))
| ~ p(X1) ) ),
introduced(definition) ).
cnf(c_0_29,plain,
( p(crypt(xor(km,X1),xor(X2,X3)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
xor(X1,X1) = id,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( epred8_0
| ~ p(X1) ),
inference(split_equiv,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
p(a),
inference(split_conjunct,[status(thm)],[an_account_number]) ).
cnf(c_0_33,plain,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]),c_0_27]) ).
cnf(c_0_34,plain,
epred8_0,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_35,plain,
! [X2] : xor(X2,id) = X2,
inference(variable_rename,[status(thm)],[xor_rules_1]) ).
fof(c_0_36,plain,
! [X10,X11,X12] :
( ~ p(crypt(xor(km,X10),X11))
| ~ p(X10)
| ~ p(crypt(xor(km,exp),X12))
| p(crypt(xor(X12,X10),X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[key_export])]) ).
cnf(c_0_37,plain,
~ epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_38,plain,
xor(X1,id) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( p(crypt(xor(X1,X2),X3))
| ~ p(crypt(xor(km,exp),X1))
| ~ p(X2)
| ~ p(crypt(xor(km,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
( p(crypt(xor(km,X1),id))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_28]),c_0_37]) ).
cnf(c_0_41,plain,
xor(X1,xor(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_38]) ).
cnf(c_0_42,plain,
( p(crypt(xor(X1,X2),X3))
| ~ p(crypt(xor(exp,km),X1))
| ~ p(crypt(xor(km,X2),X3))
| ~ p(X2) ),
inference(rw,[status(thm)],[c_0_39,c_0_17]) ).
cnf(c_0_43,plain,
( p(crypt(X1,id))
| ~ p(xor(km,X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
xor(id,X1) = X1,
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_45,plain,
xor(X1,xor(X2,X1)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_38]) ).
cnf(c_0_46,plain,
p(exp),
inference(split_conjunct,[status(thm)],[initial_knowledge_of_intruder_11]) ).
fof(c_0_47,negated_conjecture,
~ p(crypt(pp,a)),
inference(assume_negation,[status(cth)],[find_pin]) ).
cnf(c_0_48,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_42,c_0_43]),c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_49,plain,
p(crypt(xor(km,pin),pp)),
inference(split_conjunct,[status(thm)],[initial_knowledge_of_intruder_6]) ).
fof(c_0_50,negated_conjecture,
~ p(crypt(pp,a)),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_51,plain,
! [X3,X4] :
( ~ p(X4)
| ~ p(X3)
| p(crypt(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[encrypt_knowledge])]) ).
fof(c_0_52,plain,
! [X3,X4] :
( ~ p(crypt(X3,X4))
| ~ p(X3)
| p(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[decrypt_knowledge])]) ).
cnf(c_0_53,plain,
( p(crypt(X1,X2))
| ~ p(crypt(xor(X1,km),X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_17]) ).
cnf(c_0_54,plain,
p(crypt(xor(pin,km),pp)),
inference(rw,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_55,plain,
p(pin),
inference(split_conjunct,[status(thm)],[initial_knowledge_of_intruder_5]) ).
cnf(c_0_56,negated_conjecture,
~ p(crypt(pp,a)),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
( p(crypt(X1,X2))
| ~ p(X1)
| ~ p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,plain,
( p(X1)
| ~ p(X2)
| ~ p(crypt(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,plain,
p(crypt(pin,pp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_60,negated_conjecture,
~ p(pp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_32])]) ).
cnf(c_0_61,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_55])]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV235+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 19:57:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.41 # Preprocessing time : 0.015 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 62
% 0.22/1.41 # Proof object clause steps : 35
% 0.22/1.41 # Proof object formula steps : 27
% 0.22/1.41 # Proof object conjectures : 5
% 0.22/1.41 # Proof object clause conjectures : 2
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 15
% 0.22/1.41 # Proof object initial formulas used : 14
% 0.22/1.41 # Proof object generating inferences : 14
% 0.22/1.41 # Proof object simplifying inferences : 23
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 29
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 29
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 29
% 0.22/1.41 # Processed clauses : 3716
% 0.22/1.41 # ...of these trivial : 119
% 0.22/1.41 # ...subsumed : 2971
% 0.22/1.41 # ...remaining for further processing : 626
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 17
% 0.22/1.41 # Backward-rewritten : 22
% 0.22/1.41 # Generated clauses : 28924
% 0.22/1.41 # ...of the previous two non-trivial : 27833
% 0.22/1.41 # Contextual simplify-reflections : 672
% 0.22/1.41 # Paramodulations : 28912
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 583
% 0.22/1.41 # Positive orientable unit clauses : 33
% 0.22/1.41 # Positive unorientable unit clauses: 4
% 0.22/1.41 # Negative unit clauses : 11
% 0.22/1.41 # Non-unit-clauses : 535
% 0.22/1.41 # Current number of unprocessed clauses: 22558
% 0.22/1.41 # ...number of literals in the above : 89201
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 39
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 147193
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 102153
% 0.22/1.41 # Non-unit clause-clause subsumptions : 3338
% 0.22/1.41 # Unit Clause-clause subsumption calls : 1961
% 0.22/1.41 # Rewrite failures with RHS unbound : 45
% 0.22/1.41 # BW rewrite match attempts : 168
% 0.22/1.41 # BW rewrite match successes : 111
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 473815
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.357 s
% 0.22/1.41 # System time : 0.012 s
% 0.22/1.41 # Total time : 0.369 s
% 0.22/1.41 # Maximum resident set size: 21544 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------