TSTP Solution File: SWV317-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV317-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 1.88s 2.06s
% Output : Refutation 1.88s
% 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(7,axiom,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('SWV317-1.p',unknown),
[] ).
cnf(9,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV317-1.p',unknown),
[] ).
cnf(13,axiom,
( equal(c_Public_OshrK(v_A),v_KAB)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV317-1.p',unknown),
[] ).
cnf(2939,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Event_Oused(v),tc_Message_Omsg),
file('SWV317-1.p',unknown),
[] ).
cnf(2962,plain,
equal(c_Public_OshrK(v_A),v_KAB),
inference(mrr,[status(thm)],[13,9]),
[iquote('0:MRR:13.1,9.0')] ).
cnf(3549,plain,
c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(u),tc_Message_Omsg),
inference(spr,[status(thm),theory(equality)],[2962,2939]),
[iquote('0:SpR:2962.0,2939.0')] ).
cnf(3550,plain,
$false,
inference(unc,[status(thm)],[3549,7]),
[iquote('0:UnC:3549.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV317-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 08:49:56 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.88/2.06
% 1.88/2.06 SPASS V 3.9
% 1.88/2.06 SPASS beiseite: Proof found.
% 1.88/2.06 % SZS status Theorem
% 1.88/2.06 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.88/2.06 SPASS derived 329 clauses, backtracked 0 clauses, performed 1 splits and kept 2853 clauses.
% 1.88/2.06 SPASS allocated 80655 KBytes.
% 1.88/2.06 SPASS spent 0:00:01.62 on the problem.
% 1.88/2.06 0:00:00.23 for the input.
% 1.88/2.06 0:00:00.00 for the FLOTTER CNF translation.
% 1.88/2.06 0:00:00.03 for inferences.
% 1.88/2.06 0:00:00.00 for the backtracking.
% 1.88/2.06 0:00:00.75 for the reduction.
% 1.88/2.06
% 1.88/2.06
% 1.88/2.06 Here is a proof with depth 1, length 7 :
% 1.88/2.06 % SZS output start Refutation
% See solution above
% 1.88/2.06 Formulae used in the proof : cls_conjecture_1 cls_conjecture_3 cls_conjecture_7 cls_Public_OshrK__in__used_0
% 1.88/2.06
%------------------------------------------------------------------------------