TSTP Solution File: SWV335-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV335-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 21:42:21 EDT 2022
% Result : Unsatisfiable 44.75s 45.00s
% Output : Refutation 44.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 10 unt; 4 nHn; 18 RR)
% Number of literals : 29 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV335-1.p',unknown),
[] ).
cnf(3,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
file('SWV335-1.p',unknown),
[] ).
cnf(4,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('SWV335-1.p',unknown),
[] ).
cnf(5,axiom,
~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
file('SWV335-1.p',unknown),
[] ).
cnf(1334,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV335-1.p',unknown),
[] ).
cnf(1381,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('SWV335-1.p',unknown),
[] ).
cnf(1413,axiom,
( ~ c_in(c_Message_Omsg_ONonce(u),c_Message_Osynth(v),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(u),v,tc_Message_Omsg) ),
file('SWV335-1.p',unknown),
[] ).
cnf(1445,axiom,
( ~ c_in(u,c_Message_Osynth(c_Message_Oanalz(v)),tc_Message_Omsg)
| ~ c_in(w,c_Message_Oparts(c_insert(u,v,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(w,c_union(c_Message_Osynth(c_Message_Oanalz(v)),c_Message_Oparts(v),tc_Message_Omsg),tc_Message_Omsg) ),
file('SWV335-1.p',unknown),
[] ).
cnf(1447,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV335-1.p',unknown),
[] ).
cnf(1570,plain,
~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1447,5]),
[iquote('0:Res:1447.1,5.0')] ).
cnf(15795,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[4,1445]),
[iquote('0:Res:4.0,1445.1')] ).
cnf(15821,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
inference(mrr,[status(thm)],[15795,2]),
[iquote('0:MRR:15795.0,2.0')] ).
cnf(26146,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[15821,1334]),
[iquote('0:Res:15821.0,1334.0')] ).
cnf(26152,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(mrr,[status(thm)],[26146,5]),
[iquote('0:MRR:26146.1,5.0')] ).
cnf(26158,plain,
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[26152,1381]),
[iquote('0:Res:26152.0,1381.0')] ).
cnf(26167,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(mrr,[status(thm)],[26158,1570]),
[iquote('0:MRR:26158.1,1570.0')] ).
cnf(26178,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[26167,1413]),
[iquote('0:Res:26167.0,1413.0')] ).
cnf(26182,plain,
$false,
inference(mrr,[status(thm)],[26178,3]),
[iquote('0:MRR:26178.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV335-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 05:51:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 44.75/45.00
% 44.75/45.00 SPASS V 3.9
% 44.75/45.00 SPASS beiseite: Proof found.
% 44.75/45.00 % SZS status Theorem
% 44.75/45.00 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.75/45.00 SPASS derived 22413 clauses, backtracked 0 clauses, performed 0 splits and kept 14913 clauses.
% 44.75/45.00 SPASS allocated 104076 KBytes.
% 44.75/45.00 SPASS spent 0:0:42.84 on the problem.
% 44.75/45.00 0:00:00.09 for the input.
% 44.75/45.00 0:00:00.00 for the FLOTTER CNF translation.
% 44.75/45.00 0:00:00.52 for inferences.
% 44.75/45.00 0:00:00.00 for the backtracking.
% 44.75/45.00 0:0:41.63 for the reduction.
% 44.75/45.00
% 44.75/45.00
% 44.75/45.00 Here is a proof with depth 4, length 18 :
% 44.75/45.00 % SZS output start Refutation
% See solution above
% 44.75/45.00 Formulae used in the proof : cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_Set_OUnE_0 cls_Message_OCrypt__synth_1 cls_Message_ONonce__synth_0 cls_Message_OFake__parts__insert__in__Un__dest_0 cls_Message_Oanalz__into__parts__dest_0
% 44.75/45.00
%------------------------------------------------------------------------------