TSTP Solution File: SWW967+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW967+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : Thu Jul 21 01:29:25 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 8 unt; 0 nHn; 22 RR)
% Number of literals : 52 ( 0 equ; 40 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,axiom,
~ pred_attacker(name_objective),
file('SWW967+1.p',unknown),
[] ).
cnf(13,axiom,
pred_eq_bitstring_bitstring(u,v),
file('SWW967+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ pred_attacker(tuple_client_A_out_9(u))
| pred_attacker(u) ),
file('SWW967+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ pred_attacker(u)
| pred_attacker(tuple_client_A_in_8(u)) ),
file('SWW967+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ pred_attacker(u)
| pred_attacker(tuple_client_A_in_6(u)) ),
file('SWW967+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ pred_attacker(u)
| pred_attacker(tuple_client_A_in_4(u)) ),
file('SWW967+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ pred_attacker(u)
| pred_attacker(tuple_client_A_in_2(u)) ),
file('SWW967+1.p',unknown),
[] ).
cnf(122,axiom,
pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(u))),
file('SWW967+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ pred_attacker(tuple_client_A_out_1(u,v,w))
| pred_attacker(w) ),
file('SWW967+1.p',unknown),
[] ).
cnf(175,axiom,
( ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(u,v,w)),constr_cbc_dec_1(x,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(y,name_Kas))))
| ~ pred_eq_bitstring_bitstring(name_Na(w),constr_tuple_4_get_0x30(constr_cbc_dec_4(v,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(y))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(y,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(v,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(v))
| ~ pred_attacker(tuple_client_A_in_4(u))
| ~ pred_attacker(tuple_client_A_in_8(x))
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
file('SWW967+1.p',unknown),
[] ).
cnf(180,plain,
( ~ pred_attacker(tuple_client_A_in_6(u))
| ~ pred_attacker(tuple_client_A_in_2(v))
| ~ pred_attacker(tuple_client_A_in_4(w))
| ~ pred_attacker(tuple_client_A_in_8(x))
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(mrr,[status(thm)],[175,13]),
[iquote('0:MRR:175.0,175.1,175.3,175.4,13.0,13.0,13.0,13.0')] ).
cnf(191,plain,
~ pred_attacker(tuple_client_A_out_9(name_objective)),
inference(res,[status(thm),theory(equality)],[101,12]),
[iquote('0:Res:101.1,12.0')] ).
cnf(210,plain,
( ~ pred_attacker(tuple_client_A_in_8(u))
| ~ pred_attacker(tuple_client_A_in_4(v))
| ~ pred_attacker(tuple_client_A_in_2(w))
| ~ pred_attacker(tuple_client_A_in_6(x)) ),
inference(mrr,[status(thm)],[180,191]),
[iquote('0:MRR:180.4,191.0')] ).
cnf(243,plain,
pred_attacker(name_Na(u)),
inference(res,[status(thm),theory(equality)],[122,136]),
[iquote('0:Res:122.0,136.0')] ).
cnf(346,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(tuple_client_A_in_4(v))
| ~ pred_attacker(tuple_client_A_in_2(w))
| ~ pred_attacker(tuple_client_A_in_6(x)) ),
inference(res,[status(thm),theory(equality)],[108,210]),
[iquote('0:Res:108.1,210.0')] ).
cnf(347,plain,
( ~ pred_attacker(tuple_client_A_in_4(u))
| ~ pred_attacker(tuple_client_A_in_2(v))
| ~ pred_attacker(tuple_client_A_in_6(w)) ),
inference(con,[status(thm)],[346]),
[iquote('0:Con:346.0')] ).
cnf(348,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(tuple_client_A_in_2(v))
| ~ pred_attacker(tuple_client_A_in_6(w)) ),
inference(res,[status(thm),theory(equality)],[112,347]),
[iquote('0:Res:112.1,347.0')] ).
cnf(349,plain,
( ~ pred_attacker(tuple_client_A_in_2(u))
| ~ pred_attacker(tuple_client_A_in_6(v)) ),
inference(con,[status(thm)],[348]),
[iquote('0:Con:348.0')] ).
cnf(350,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(tuple_client_A_in_6(v)) ),
inference(res,[status(thm),theory(equality)],[114,349]),
[iquote('0:Res:114.1,349.0')] ).
cnf(351,plain,
~ pred_attacker(tuple_client_A_in_6(u)),
inference(con,[status(thm)],[350]),
[iquote('0:Con:350.0')] ).
cnf(352,plain,
~ pred_attacker(u),
inference(mrr,[status(thm)],[110,351]),
[iquote('0:MRR:110.1,351.0')] ).
cnf(353,plain,
$false,
inference(unc,[status(thm)],[352,243]),
[iquote('0:UnC:352.0,243.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW967+1 : TPTP v8.1.0. Released v7.4.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 5 02:34:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 144 clauses, backtracked 0 clauses, performed 0 splits and kept 245 clauses.
% 0.19/0.49 SPASS allocated 98025 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.00 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.02 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 3, length 22 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : co0 ax83 ax109 ax120 ax122 ax124 ax126 ax167 ax119 ax171
% 0.19/0.49
%------------------------------------------------------------------------------