TSTP Solution File: SWW958+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW958+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : Thu Jul 21 01:29:24 EDT 2022
% Result : Theorem 0.79s 0.97s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of clauses : 45 ( 21 unt; 0 nHn; 45 RR)
% Number of literals : 85 ( 0 equ; 45 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
~ pred_attacker(name_Sa),
file('SWW958+1.p',unknown),
[] ).
cnf(207,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
file('SWW958+1.p',unknown),
[] ).
cnf(211,axiom,
equal(constr_add(u,constr_ZERO),u),
file('SWW958+1.p',unknown),
[] ).
cnf(212,axiom,
equal(constr_add(u,constr_neg(u)),constr_ZERO),
file('SWW958+1.p',unknown),
[] ).
cnf(221,axiom,
( ~ pred_attacker(tuple_out_1(u))
| pred_attacker(u) ),
file('SWW958+1.p',unknown),
[] ).
cnf(236,axiom,
( ~ pred_attacker(tuple_client_A_out_5(u))
| pred_attacker(u) ),
file('SWW958+1.p',unknown),
[] ).
cnf(237,axiom,
( ~ pred_attacker(u)
| pred_attacker(tuple_client_A_in_2(u)) ),
file('SWW958+1.p',unknown),
[] ).
cnf(238,axiom,
( ~ pred_attacker(tuple_client_A_in_2(u))
| pred_attacker(u) ),
file('SWW958+1.p',unknown),
[] ).
cnf(239,axiom,
( ~ pred_attacker(u)
| pred_attacker(tuple_client_A_in_1(u)) ),
file('SWW958+1.p',unknown),
[] ).
cnf(240,axiom,
( ~ pred_attacker(tuple_client_A_in_1(u))
| pred_attacker(u) ),
file('SWW958+1.p',unknown),
[] ).
cnf(241,axiom,
equal(constr_add(u,v),constr_add(v,u)),
file('SWW958+1.p',unknown),
[] ).
cnf(255,axiom,
( ~ pred_attacker(tuple_client_A_out_3(u,v))
| pred_attacker(v) ),
file('SWW958+1.p',unknown),
[] ).
cnf(258,axiom,
equal(constr_adec(constr_aenc(u,constr_pkey(v)),v),u),
file('SWW958+1.p',unknown),
[] ).
cnf(268,axiom,
( ~ pred_attacker(u)
| ~ pred_attacker(v)
| pred_attacker(tuple_client_A_in_4(v,u)) ),
file('SWW958+1.p',unknown),
[] ).
cnf(272,axiom,
equal(constr_add(constr_add(u,v),w),constr_add(u,constr_add(v,w))),
file('SWW958+1.p',unknown),
[] ).
cnf(273,axiom,
( ~ pred_attacker(tuple_client_A_in_2(u))
| ~ pred_attacker(tuple_client_A_in_1(v))
| pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),v))) ),
file('SWW958+1.p',unknown),
[] ).
cnf(274,axiom,
( ~ pred_attacker(tuple_client_A_in_1(u))
| ~ pred_attacker(tuple_client_A_in_4(v,w))
| ~ pred_attacker(tuple_client_A_in_2(v))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(w,name_skA),constr_neg(name_Na)))) ),
file('SWW958+1.p',unknown),
[] ).
cnf(278,plain,
( ~ pred_attacker(tuple_client_A_in_2(u))
| ~ pred_attacker(tuple_client_A_in_1(v))
| ~ pred_attacker(tuple_client_A_in_4(u,w))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(w,name_skA)))) ),
inference(rew,[status(thm),theory(equality)],[241,274]),
[iquote('0:Rew:241.0,274.3')] ).
cnf(302,plain,
~ pred_attacker(tuple_client_A_in_1(name_Sa)),
inference(res,[status(thm),theory(equality)],[240,14]),
[iquote('0:Res:240.1,14.0')] ).
cnf(314,plain,
~ pred_attacker(name_Sa),
inference(res,[status(thm),theory(equality)],[239,302]),
[iquote('0:Res:239.1,302.0')] ).
cnf(336,plain,
pred_attacker(constr_pkey(name_skA)),
inference(res,[status(thm),theory(equality)],[207,221]),
[iquote('0:Res:207.0,221.0')] ).
cnf(344,plain,
equal(constr_add(constr_ZERO,u),u),
inference(spr,[status(thm),theory(equality)],[241,211]),
[iquote('0:SpR:241.0,211.0')] ).
cnf(420,plain,
equal(constr_add(u,constr_add(v,w)),constr_add(w,constr_add(u,v))),
inference(spr,[status(thm),theory(equality)],[272,241]),
[iquote('0:SpR:272.0,241.0')] ).
cnf(426,plain,
equal(constr_add(u,constr_add(constr_neg(u),v)),constr_add(constr_ZERO,v)),
inference(spr,[status(thm),theory(equality)],[212,272]),
[iquote('0:SpR:212.0,272.0')] ).
cnf(427,plain,
equal(constr_add(constr_add(u,v),w),constr_add(v,constr_add(u,w))),
inference(spr,[status(thm),theory(equality)],[241,272]),
[iquote('0:SpR:241.0,272.0')] ).
cnf(432,plain,
equal(constr_add(u,constr_add(constr_neg(u),v)),v),
inference(rew,[status(thm),theory(equality)],[344,426]),
[iquote('0:Rew:344.0,426.0')] ).
cnf(433,plain,
equal(constr_add(u,constr_add(v,w)),constr_add(v,constr_add(u,w))),
inference(rew,[status(thm),theory(equality)],[272,427]),
[iquote('0:Rew:272.0,427.0')] ).
cnf(445,plain,
equal(constr_add(u,constr_add(v,constr_neg(u))),v),
inference(spr,[status(thm),theory(equality)],[241,432]),
[iquote('0:SpR:241.0,432.0')] ).
cnf(480,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(tuple_client_A_in_1(v))
| pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),v))) ),
inference(res,[status(thm),theory(equality)],[237,273]),
[iquote('0:Res:237.1,273.0')] ).
cnf(481,plain,
( ~ pred_attacker(tuple_client_A_in_1(u))
| pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),u))) ),
inference(con,[status(thm)],[480]),
[iquote('0:Con:480.0')] ).
cnf(607,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(v)
| ~ pred_attacker(tuple_client_A_in_2(v))
| ~ pred_attacker(tuple_client_A_in_1(w))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(u,name_skA)))) ),
inference(res,[status(thm),theory(equality)],[268,278]),
[iquote('0:Res:268.2,278.2')] ).
cnf(608,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(tuple_client_A_in_2(v))
| ~ pred_attacker(tuple_client_A_in_1(w))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(u,name_skA)))) ),
inference(mrr,[status(thm)],[607,238]),
[iquote('0:MRR:607.1,238.1')] ).
cnf(885,plain,
equal(constr_add(u,constr_add(v,w)),constr_add(w,constr_add(v,u))),
inference(spr,[status(thm),theory(equality)],[241,420]),
[iquote('0:SpR:241.0,420.0')] ).
cnf(1043,plain,
( ~ pred_attacker(tuple_client_A_in_1(u))
| pred_attacker(constr_aenc(constr_add(name_Na,name_Sa),u)) ),
inference(res,[status(thm),theory(equality)],[481,255]),
[iquote('0:Res:481.1,255.0')] ).
cnf(1413,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(v)
| ~ pred_attacker(tuple_client_A_in_1(w))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(v,name_skA)))) ),
inference(res,[status(thm),theory(equality)],[237,608]),
[iquote('0:Res:237.1,608.1')] ).
cnf(1414,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(tuple_client_A_in_1(v))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(u,name_skA)))) ),
inference(con,[status(thm)],[1413]),
[iquote('0:Con:1413.0')] ).
cnf(1730,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(v)
| pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(v,name_skA)))) ),
inference(res,[status(thm),theory(equality)],[239,1414]),
[iquote('0:Res:239.1,1414.1')] ).
cnf(1731,plain,
( ~ pred_attacker(u)
| pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(u,name_skA)))) ),
inference(con,[status(thm)],[1730]),
[iquote('0:Con:1730.0')] ).
cnf(2369,plain,
( ~ pred_attacker(u)
| pred_attacker(constr_add(constr_neg(name_Na),constr_adec(u,name_skA))) ),
inference(res,[status(thm),theory(equality)],[1731,236]),
[iquote('0:Res:1731.1,236.0')] ).
cnf(2378,plain,
( ~ pred_attacker(constr_aenc(u,constr_pkey(name_skA)))
| pred_attacker(constr_add(constr_neg(name_Na),u)) ),
inference(spr,[status(thm),theory(equality)],[258,2369]),
[iquote('0:SpR:258.0,2369.1')] ).
cnf(2730,plain,
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(name_skA)))
| pred_attacker(constr_add(constr_neg(name_Na),constr_add(name_Na,name_Sa))) ),
inference(sor,[status(thm)],[2378,1043]),
[iquote('0:SoR:2378.0,1043.1')] ).
cnf(2732,plain,
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(name_skA)))
| pred_attacker(name_Sa) ),
inference(rew,[status(thm),theory(equality)],[445,2730,433,885]),
[iquote('0:Rew:445.0,2730.1,433.0,2730.1,885.0,2730.1')] ).
cnf(2733,plain,
~ pred_attacker(tuple_client_A_in_1(constr_pkey(name_skA))),
inference(mrr,[status(thm)],[2732,314]),
[iquote('0:MRR:2732.1,314.0')] ).
cnf(2735,plain,
~ pred_attacker(constr_pkey(name_skA)),
inference(res,[status(thm),theory(equality)],[239,2733]),
[iquote('0:Res:239.1,2733.0')] ).
cnf(2736,plain,
$false,
inference(ssi,[status(thm)],[2735,336]),
[iquote('0:SSi:2735.0,336.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWW958+1 : TPTP v8.1.0. Released v7.4.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jun 5 21:26:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.79/0.97
% 0.79/0.97 SPASS V 3.9
% 0.79/0.97 SPASS beiseite: Proof found.
% 0.79/0.97 % SZS status Theorem
% 0.79/0.97 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.79/0.97 SPASS derived 1633 clauses, backtracked 0 clauses, performed 0 splits and kept 689 clauses.
% 0.79/0.97 SPASS allocated 99779 KBytes.
% 0.79/0.97 SPASS spent 0:00:00.60 on the problem.
% 0.79/0.97 0:00:00.04 for the input.
% 0.79/0.97 0:00:00.04 for the FLOTTER CNF translation.
% 0.79/0.97 0:00:00.02 for inferences.
% 0.79/0.97 0:00:00.00 for the backtracking.
% 0.79/0.97 0:00:00.45 for the reduction.
% 0.79/0.97
% 0.79/0.97
% 0.79/0.97 Here is a proof with depth 7, length 45 :
% 0.79/0.97 % SZS output start Refutation
% See solution above
% 0.79/0.97 Formulae used in the proof : co0 ax267 ax192 ax191 ax204 ax238 ax245 ax246 ax247 ax248 ax193 ax241 ax190 ax242 ax194 ax271 ax272
% 0.79/0.97
%------------------------------------------------------------------------------