TSTP Solution File: SWV317-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV317-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 21:42:14 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 1 nHn; 7 RR)
% Number of literals : 8 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Event_Oused(v),tc_Message_Omsg),
file('SWV317-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('SWV317-2.p',unknown),
[] ).
cnf(3,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV317-2.p',unknown),
[] ).
cnf(4,axiom,
( equal(c_Public_OshrK(v_A),v_KAB)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV317-2.p',unknown),
[] ).
cnf(5,plain,
equal(c_Public_OshrK(v_A),v_KAB),
inference(mrr,[status(thm)],[4,3]),
[iquote('0:MRR:4.1,3.0')] ).
cnf(7,plain,
c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(u),tc_Message_Omsg),
inference(spr,[status(thm),theory(equality)],[5,1]),
[iquote('0:SpR:5.0,1.0')] ).
cnf(8,plain,
$false,
inference(unc,[status(thm)],[7,2]),
[iquote('0:UnC:7.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV317-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 00:44:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.20/0.42 SPASS allocated 63082 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.20/0.42 0:00:00.03 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.00 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 1, length 7 :
% 0.20/0.42 % SZS output start Refutation
% See solution above
% 0.20/0.42 Formulae used in the proof : cls_Public_OshrK__in__used_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_7
% 0.20/0.42
%------------------------------------------------------------------------------