%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV295-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 21:42:06 EDT 2022
% Result : Unsatisfiable 0.68s 0.87s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 16 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
file('SWV295-1.p',unknown),
[] ).
cnf(10,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('SWV295-1.p',unknown),
[] ).
cnf(16,axiom,
equal(v_Aa,v_A),
file('SWV295-1.p',unknown),
[] ).
cnf(17,axiom,
equal(c_Message_Omsg_ONonce(v_NAa),v_NA),
file('SWV295-1.p',unknown),
[] ).
cnf(1377,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('SWV295-1.p',unknown),
[] ).
cnf(1458,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('SWV295-1.p',unknown),
[] ).
cnf(1463,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('SWV295-1.p',unknown),
[] ).
cnf(1490,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[17,10]),
[iquote('0:Rew:17.0,10.0')] ).
cnf(1492,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[16,7,17]),
[iquote('0:Rew:16.0,7.0,17.0,7.0')] ).
cnf(1544,plain,
~ c_in(c_Message_Omsg_OMPair(v_NA,u),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1463,1490]),
[iquote('0:Res:1463.1,1490.0')] ).
cnf(1563,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1492,1458]),
[iquote('0:Res:1492.0,1458.0')] ).
cnf(1866,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1563,1377]),
[iquote('0:Res:1563.0,1377.0')] ).
cnf(1870,plain,
$false,
inference(mrr,[status(thm)],[1866,1544]),
[iquote('0:MRR:1866.0,1544.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV295-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 11:44:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/0.87
% 0.68/0.87 SPASS V 3.9
% 0.68/0.87 SPASS beiseite: Proof found.
% 0.68/0.87 % SZS status Theorem
% 0.68/0.87 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.87 SPASS derived 322 clauses, backtracked 0 clauses, performed 0 splits and kept 1554 clauses.
% 0.68/0.87 SPASS allocated 78296 KBytes.
% 0.68/0.87 SPASS spent 0:00:00.51 on the problem.
% 0.68/0.87 0:00:00.09 for the input.
% 0.68/0.87 0:00:00.00 for the FLOTTER CNF translation.
% 0.68/0.87 0:00:00.03 for inferences.
% 0.68/0.87 0:00:00.00 for the backtracking.
% 0.68/0.87 0:00:00.11 for the reduction.
% 0.68/0.87
% 0.68/0.87
% 0.68/0.87 Here is a proof with depth 2, length 13 :
% 0.68/0.87 % SZS output start Refutation
% See solution above
% 0.68/0.87 Formulae used in the proof : cls_conjecture_12 cls_conjecture_2 cls_conjecture_8 cls_conjecture_9 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
% 0.68/0.87
%------------------------------------------------------------------------------