%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:14:58 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 5 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 5 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax79,axiom,
! [VAR_X_67,VAR_Y_68] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68),
file('theBenchmark.p',ax79) ).
fof(ax93,axiom,
! [VAR_V_112] :
( pred_attacker(tuple_client_B_out_2(VAR_V_112))
=> pred_attacker(VAR_V_112) ),
file('theBenchmark.p',ax93) ).
fof(ax94,axiom,
! [VAR_V_115] :
( pred_attacker(VAR_V_115)
=> pred_attacker(tuple_client_B_in_1(VAR_V_115)) ),
file('theBenchmark.p',ax94) ).
fof(ax135,axiom,
! [VAR_ENC_A_KAB_T_330X30] :
( ( pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
=> pred_attacker(tuple_client_B_out_2(name_objective)) ),
file('theBenchmark.p',ax135) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('theBenchmark.p',co0) ).
fof(co0_neg,negated_conjecture,
~ pred_attacker(name_objective),
inference(assume_negation,[status(cth)],[co0]) ).
cnf(c_79,plain,
pred_eq_bitstring_bitstring(A,B),
inference(clausify,[status(thm)],[ax79]) ).
cnf(c_93,plain,
( pred_attacker(A)
| ~ pred_attacker(tuple_client_B_out_2(A)) ),
inference(clausify,[status(thm)],[ax93]) ).
cnf(c_94,plain,
( pred_attacker(tuple_client_B_in_1(A))
| ~ pred_attacker(A) ),
inference(clausify,[status(thm)],[ax94]) ).
cnf(c_126,plain,
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(A))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(A,name_Kbs))) ),
inference(clausify,[status(thm)],[ax135]) ).
fof(ax132,axiom,
pred_attacker(name_A),
file('theBenchmark.p',ax132) ).
cnf(c_246,plain,
pred_attacker(name_A),
inference(clausify,[status(thm)],[ax132]) ).
cnf(c_247,negated_conjecture,
~ pred_attacker(name_objective),
inference(clausify,[status(thm)],[co0_neg]) ).
cnf(c_261,negated_conjecture,
~ pred_attacker(tuple_client_B_out_2(name_objective)),
inference(resolve,[status(thm)],[c_93,c_247]) ).
cnf(c_269,plain,
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(A)) ),
inference(resolve,[status(thm)],[c_79,c_126]) ).
cnf(c_266,plain,
~ pred_attacker(tuple_client_B_in_1(A)),
inference(resolve,[status(thm)],[c_261,c_269]) ).
cnf(c_267,plain,
~ pred_attacker(A),
inference(resolve,[status(thm)],[c_266,c_94]) ).
cnf(c_268,plain,
$false,
inference(resolve,[status(thm)],[c_267,c_246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 16:39:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2171799 was started by sandbox on n004,
% 0.10/0.37 % Sat Sep 26 16:39:07 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.38
% 0.10/0.38 % SInE: 75 to sos, 63 to usable, of 138 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.13/0.39
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39
% 0.13/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.39 % Length of proof is 15.
% 0.13/0.39 % Level of proof is 5.
% 0.13/0.39 % Maximum clause weight is 107.000.
% 0.13/0.39 % Given clauses 4.
% 0.13/0.39
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------