TSTP Solution File: SWV326-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV326-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 21:42:17 EDT 2022
% Result : Unsatisfiable 1.73s 1.97s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 18 unt; 6 nHn; 30 RR)
% Number of literals : 42 ( 0 equ; 15 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('SWV326-1.p',unknown),
[] ).
cnf(16,axiom,
( equal(v_Ba,v_C)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
file('SWV326-1.p',unknown),
[] ).
cnf(20,axiom,
( equal(v_Ba,v_C)
| equal(v_Ba,v_B) ),
file('SWV326-1.p',unknown),
[] ).
cnf(27,axiom,
( equal(v_Ba,v_B)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
file('SWV326-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ equal(v_Ba,v_B)
| ~ equal(v_Ba,v_C) ),
file('SWV326-1.p',unknown),
[] ).
cnf(37,axiom,
equal(c_Message_Omsg_ONonce(v_NAa),v_NA),
file('SWV326-1.p',unknown),
[] ).
cnf(39,axiom,
equal(v_Aa,v_A),
file('SWV326-1.p',unknown),
[] ).
cnf(1401,axiom,
( ~ c_in(u,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v)),tc_Message_Omsg)
| c_in(u,c_Event_Oused(v),tc_Message_Omsg) ),
file('SWV326-1.p',unknown),
[] ).
cnf(1482,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV326-1.p',unknown),
[] ).
cnf(1485,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Event_Oused(w),tc_Message_Omsg)
| c_in(u,c_Event_Oused(w),tc_Message_Omsg) ),
file('SWV326-1.p',unknown),
[] ).
cnf(1512,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[37,14]),
[iquote('0:Rew:37.0,14.0')] ).
cnf(1514,plain,
( equal(v_Ba,v_B)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(rew,[status(thm),theory(equality)],[37,27,39]),
[iquote('0:Rew:37.0,27.1,39.0,27.1')] ).
cnf(1561,plain,
~ c_in(c_Message_Omsg_OMPair(v_NA,u),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1485,1512]),
[iquote('0:Res:1485.1,1512.0')] ).
cnf(1570,plain,
equal(v_Ba,v_C),
inference(spt,[spt(split,[position(s1)])],[20]),
[iquote('1:Spt:20.0')] ).
cnf(1571,plain,
( equal(v_C,v_B)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(rew,[status(thm),theory(equality)],[1570,1514]),
[iquote('1:Rew:1570.0,1514.0')] ).
cnf(1572,plain,
( ~ equal(v_C,v_B)
| ~ equal(v_Ba,v_C) ),
inference(rew,[status(thm),theory(equality)],[1570,34]),
[iquote('1:Rew:1570.0,34.0')] ).
cnf(1574,plain,
( ~ equal(v_C,v_B)
| ~ equal(v_C,v_C) ),
inference(rew,[status(thm),theory(equality)],[1570,1572]),
[iquote('1:Rew:1570.0,1572.1')] ).
cnf(1575,plain,
~ equal(v_C,v_B),
inference(obv,[status(thm),theory(equality)],[1574]),
[iquote('1:Obv:1574.1')] ).
cnf(1577,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(mrr,[status(thm)],[1571,1575]),
[iquote('1:MRR:1571.0,1575.0')] ).
cnf(5213,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1577,1482]),
[iquote('1:Res:1577.0,1482.0')] ).
cnf(5228,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[5213,1401]),
[iquote('1:Res:5213.0,1401.0')] ).
cnf(5234,plain,
$false,
inference(mrr,[status(thm)],[5228,1561]),
[iquote('1:MRR:5228.0,1561.0')] ).
cnf(5235,plain,
~ equal(v_Ba,v_C),
inference(spt,[spt(split,[position(sa)])],[5234,1570]),
[iquote('1:Spt:5234.0,20.0,1570.0')] ).
cnf(5236,plain,
equal(v_Ba,v_B),
inference(spt,[spt(split,[position(s2)])],[20]),
[iquote('1:Spt:5234.0,20.1')] ).
cnf(5237,plain,
~ equal(v_C,v_B),
inference(rew,[status(thm),theory(equality)],[5236,5235]),
[iquote('1:Rew:5236.0,5235.0')] ).
cnf(5240,plain,
( equal(v_C,v_B)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(rew,[status(thm),theory(equality)],[5236,16]),
[iquote('1:Rew:5236.0,16.0')] ).
cnf(5241,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(mrr,[status(thm)],[5240,5237]),
[iquote('1:MRR:5240.0,5237.0')] ).
cnf(5248,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[5241,1482]),
[iquote('1:Res:5241.0,1482.0')] ).
cnf(5334,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C))),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[5248,1401]),
[iquote('1:Res:5248.0,1401.0')] ).
cnf(5340,plain,
$false,
inference(mrr,[status(thm)],[5334,1561]),
[iquote('1:MRR:5334.0,1561.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWV326-1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jun 15 05:39:50 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.73/1.97
% 1.73/1.97 SPASS V 3.9
% 1.73/1.97 SPASS beiseite: Proof found.
% 1.73/1.97 % SZS status Theorem
% 1.73/1.97 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.73/1.97 SPASS derived 3111 clauses, backtracked 9 clauses, performed 1 splits and kept 2699 clauses.
% 1.73/1.97 SPASS allocated 80454 KBytes.
% 1.73/1.97 SPASS spent 0:00:01.56 on the problem.
% 1.73/1.97 0:00:00.09 for the input.
% 1.73/1.97 0:00:00.00 for the FLOTTER CNF translation.
% 1.73/1.97 0:00:00.11 for inferences.
% 1.73/1.97 0:00:00.00 for the backtracking.
% 1.73/1.97 0:00:01.08 for the reduction.
% 1.73/1.97
% 1.73/1.97
% 1.73/1.97 Here is a proof with depth 2, length 30 :
% 1.73/1.97 % SZS output start Refutation
% See solution above
% 1.73/1.97 Formulae used in the proof : cls_conjecture_2 cls_conjecture_21 cls_conjecture_25 cls_conjecture_31 cls_conjecture_38 cls_conjecture_5 cls_conjecture_7 cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 cls_Message_Oparts_OBody__dest_0 cls_Public_OMPair__used_1
% 1.73/1.97
%------------------------------------------------------------------------------