TSTP Solution File: SWV247-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV247-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 21:41:47 EDT 2022
% Result : Unsatisfiable 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 39 ( 14 unt; 9 nHn; 39 RR)
% Number of literals : 74 ( 0 equ; 31 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Osynth(w),tc_Message_Omsg)
| c_in(v,c_Message_Osynth(w),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg) ),
file('SWV247-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(u)),c_Message_Oanalz(v),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(u,w),c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(w,c_Message_Oanalz(v),tc_Message_Omsg) ),
file('SWV247-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OKey(u),c_Message_Osynth(v),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(u),v,tc_Message_Omsg) ),
file('SWV247-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(v),tc_Message_Omsg) ),
file('SWV247-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(x,v,w),w) ),
file('SWV247-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(v,x,w),w) ),
file('SWV247-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV247-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV247-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV247-2.p',unknown),
[] ).
cnf(10,axiom,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV247-2.p',unknown),
[] ).
cnf(11,plain,
~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[6,10]),
[iquote('0:Res:6.1,10.0')] ).
cnf(12,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[5,10]),
[iquote('0:Res:5.1,10.0')] ).
cnf(18,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[9,7]),
[iquote('0:Res:9.0,7.0')] ).
cnf(22,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[8,7]),
[iquote('0:Res:8.0,7.0')] ).
cnf(32,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(u)),v,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(u,w),c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(w,c_Message_Oanalz(v),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[4,2]),
[iquote('0:Res:4.1,2.0')] ).
cnf(33,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,u),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[18,2]),
[iquote('0:Res:18.1,2.0')] ).
cnf(34,plain,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(u)),w,tc_Message_Omsg)
| c_in(v,c_Message_Oanalz(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[4,32]),
[iquote('0:Res:4.1,32.1')] ).
cnf(35,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[22,32]),
[iquote('0:Res:22.1,32.1')] ).
cnf(36,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(mrr,[status(thm)],[35,11]),
[iquote('0:MRR:35.2,11.0')] ).
cnf(37,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[6,36]),
[iquote('0:Res:6.1,36.0')] ).
cnf(42,plain,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(u)),c_union(w,x,tc_Message_Omsg),tc_Message_Omsg)
| c_in(v,c_Message_Oanalz(c_union(w,x,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[6,34]),
[iquote('0:Res:6.1,34.0')] ).
cnf(45,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[37,1]),
[iquote('0:Res:37.1,1.0')] ).
cnf(47,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
inference(mrr,[status(thm)],[45,12]),
[iquote('0:MRR:45.1,12.0')] ).
cnf(52,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,u),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spt,[spt(split,[position(s1)])],[33]),
[iquote('1:Spt:33.0,33.2')] ).
cnf(53,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,u),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[4,52]),
[iquote('1:Res:4.1,52.0')] ).
cnf(54,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[22,52]),
[iquote('1:Res:22.1,52.0')] ).
cnf(55,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(mrr,[status(thm)],[54,11]),
[iquote('1:MRR:54.1,11.0')] ).
cnf(56,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[55,1]),
[iquote('1:Res:55.0,1.0')] ).
cnf(58,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg),
inference(mrr,[status(thm)],[56,12]),
[iquote('1:MRR:56.0,12.0')] ).
cnf(62,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,u),v_G,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[6,53]),
[iquote('1:Res:6.1,53.0')] ).
cnf(64,plain,
~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[62,11]),
[iquote('1:Res:62.1,11.0')] ).
cnf(70,plain,
$false,
inference(mrr,[status(thm)],[64,58]),
[iquote('1:MRR:64.0,58.0')] ).
cnf(71,plain,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(spt,[spt(split,[position(s2)])],[33]),
[iquote('1:Spt:70.0,33.1')] ).
cnf(73,plain,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[71,3]),
[iquote('1:Res:71.0,3.0')] ).
cnf(74,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg),
inference(mrr,[status(thm)],[47,73]),
[iquote('1:MRR:47.0,73.0')] ).
cnf(97,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(u)),v,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(u,w),v,tc_Message_Omsg)
| c_in(w,c_Message_Oanalz(c_union(v,x,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[6,42]),
[iquote('0:Res:6.1,42.1')] ).
cnf(183,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,u),v_G,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(c_union(v_G,v,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[73,97]),
[iquote('1:Res:73.0,97.0')] ).
cnf(192,plain,
~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[183,11]),
[iquote('1:Res:183.1,11.0')] ).
cnf(204,plain,
$false,
inference(mrr,[status(thm)],[192,74]),
[iquote('1:MRR:192.0,74.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SWV247-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 18:11:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.45
% 0.20/0.45 SPASS V 3.9
% 0.20/0.45 SPASS beiseite: Proof found.
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 SPASS derived 172 clauses, backtracked 8 clauses, performed 1 splits and kept 180 clauses.
% 0.20/0.45 SPASS allocated 63371 KBytes.
% 0.20/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.20/0.45 0:00:00.03 for the input.
% 0.20/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.45 0:00:00.00 for inferences.
% 0.20/0.45 0:00:00.00 for the backtracking.
% 0.20/0.45 0:00:00.02 for the reduction.
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 Here is a proof with depth 6, length 39 :
% 0.20/0.45 % SZS output start Refutation
% See solution above
% 0.20/0.45 Formulae used in the proof : cls_Message_OCrypt__synth_1 cls_Message_Oanalz_ODecrypt__dest_0 cls_Message_OKey__synth_0 cls_Message_Oanalz_OInj_0 cls_Set_OUnCI_0 cls_Set_OUnCI_1 cls_Set_OUnE_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_4
% 0.20/0.45
%------------------------------------------------------------------------------