%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV322-1 : 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 21:42:16 EDT 2022
% Result : Unsatisfiable 0.69s 0.89s
% Output : Refutation 0.69s
% 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(2,axiom,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('SWV322-1.p',unknown),
[] ).
cnf(4,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV322-1.p',unknown),
[] ).
cnf(8,axiom,
( equal(c_Public_OshrK(v_A),v_KAB)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV322-1.p',unknown),
[] ).
cnf(1474,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Event_Oused(v),tc_Message_Omsg),
file('SWV322-1.p',unknown),
[] ).
cnf(1480,plain,
equal(c_Public_OshrK(v_A),v_KAB),
inference(mrr,[status(thm)],[8,4]),
[iquote('0:MRR:8.1,4.0')] ).
cnf(1592,plain,
c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(u),tc_Message_Omsg),
inference(spr,[status(thm),theory(equality)],[1480,1474]),
[iquote('0:SpR:1480.0,1474.0')] ).
cnf(1593,plain,
$false,
inference(unc,[status(thm)],[1592,2]),
[iquote('0:UnC:1592.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV322-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 14 22:08:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.69/0.89
% 0.69/0.89 SPASS V 3.9
% 0.69/0.89 SPASS beiseite: Proof found.
% 0.69/0.89 % SZS status Theorem
% 0.69/0.89 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.89 SPASS derived 62 clauses, backtracked 0 clauses, performed 0 splits and kept 1469 clauses.
% 0.69/0.89 SPASS allocated 78075 KBytes.
% 0.69/0.89 SPASS spent 0:00:00.53 on the problem.
% 0.69/0.89 0:00:00.09 for the input.
% 0.69/0.89 0:00:00.00 for the FLOTTER CNF translation.
% 0.69/0.89 0:00:00.02 for inferences.
% 0.69/0.89 0:00:00.00 for the backtracking.
% 0.69/0.89 0:00:00.12 for the reduction.
% 0.69/0.89
% 0.69/0.89
% 0.69/0.89 Here is a proof with depth 1, length 7 :
% 0.69/0.89 % SZS output start Refutation
% See solution above
% 0.69/0.89 Formulae used in the proof : cls_conjecture_1 cls_conjecture_3 cls_conjecture_7 cls_Public_OshrK__in__used_0
% 0.69/0.89
%------------------------------------------------------------------------------