%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW959+1 : TPTP v9.2.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : 300s
% DateTime : Tue May 5 05:33:28 PM UTC 2026
% Result : Theorem 1.31s 1.72s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 82 ( 37 ~; 35 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 19 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax165,axiom,
! [X107,X108,X109,X110] :
( ( pred_eq_bitstring_bitstring(name_Nb(X107),constr_adec(X109,name_skB))
& pred_attacker(tuple_client_B_in_5(X109))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X108,name_skB)))
& pred_attacker(tuple_client_B_in_3(X108))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X110,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(X110)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).
fof(ax86,axiom,
! [X17,X18] : pred_eq_bitstring_bitstring(X17,X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
fof(ax119,axiom,
! [X61] :
( pred_attacker(X61)
=> pred_attacker(tuple_client_B_in_5(X61)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
fof(ax121,axiom,
! [X63] :
( pred_attacker(X63)
=> pred_attacker(tuple_client_B_in_3(X63)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
fof(ax123,axiom,
! [X65] :
( pred_attacker(X65)
=> pred_attacker(tuple_client_B_in_2(X65)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
fof(ax154,axiom,
! [X98] : pred_attacker(name_new0x2Dname(X98)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax154) ).
fof(ax113,axiom,
! [X52] :
( pred_attacker(tuple_client_B_out_6(X52))
=> pred_attacker(X52) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(c_0_8,plain,
! [X337,X338,X339,X340] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X337),constr_adec(X339,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X339))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X338,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X338))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X340,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X340))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax165])]) ).
fof(c_0_9,plain,
! [X247,X248] : pred_eq_bitstring_bitstring(X247,X248),
inference(variable_rename,[status(thm)],[ax86]) ).
cnf(c_0_10,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X3,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X4,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
pred_eq_bitstring_bitstring(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X291] :
( ~ pred_attacker(X291)
| pred_attacker(tuple_client_B_in_5(X291)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax119])]) ).
cnf(c_0_13,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_attacker(tuple_client_B_in_3(X3))
| ~ pred_attacker(tuple_client_B_in_2(X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11])]) ).
cnf(c_0_14,plain,
( pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X293] :
( ~ pred_attacker(X293)
| pred_attacker(tuple_client_B_in_3(X293)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax121])]) ).
cnf(c_0_16,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X295] :
( ~ pred_attacker(X295)
| pred_attacker(tuple_client_B_in_2(X295)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax123])]) ).
cnf(c_0_19,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X1))
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( pred_attacker(tuple_client_B_in_2(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X328] : pred_attacker(name_new0x2Dname(X328)),
inference(variable_rename,[status(thm)],[ax154]) ).
cnf(c_0_22,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
pred_attacker(name_new0x2Dname(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_25,plain,
! [X282] :
( ~ pred_attacker(tuple_client_B_out_6(X282))
| pred_attacker(X282) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])]) ).
cnf(c_0_26,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
fof(c_0_27,negated_conjecture,
~ pred_attacker(name_objective),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
cnf(c_0_28,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_B_out_6(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
pred_attacker(tuple_client_B_out_6(name_objective)),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_30,negated_conjecture,
~ pred_attacker(name_objective),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW959+1 : TPTP v9.2.1. Released v7.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n021.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 07:37:10 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.31/1.72 % Version : CSE_E---1.7
% 1.31/1.72 % Problem : theBenchmark.p
% 1.31/1.72 % SZS status Theorem for theBenchmark.p
% 1.31/1.72 % SZS output start CNFRefutation
% See solution above
% 1.31/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------