TSTP Solution File: SWV280-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV280-2 : 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 21:42:00 EDT 2022
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
c_lessequals(u,c_plus(u,v,tc_nat),tc_nat),
file('SWV280-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_lessequals(v_sko__urX(u),v,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v),c_Event_Oused(u),tc_Message_Omsg) ),
file('SWV280-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(c_Message_Omsg_ONonce(u),c_Event_Oused(v_evs),tc_Message_Omsg),
file('SWV280-2.p',unknown),
[] ).
cnf(4,plain,
~ c_lessequals(v_sko__urX(v_evs),u,tc_nat),
inference(res,[status(thm),theory(equality)],[3,2]),
[iquote('0:Res:3.0,2.0')] ).
cnf(5,plain,
$false,
inference(unc,[status(thm)],[4,1]),
[iquote('0:UnC:4.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV280-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n006.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 18:12:41 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.43
% 0.22/0.43 SPASS V 3.9
% 0.22/0.43 SPASS beiseite: Proof found.
% 0.22/0.43 % SZS status Theorem
% 0.22/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 4 clauses.
% 0.22/0.43 SPASS allocated 63078 KBytes.
% 0.22/0.43 SPASS spent 0:00:00.06 on the problem.
% 0.22/0.43 0:00:00.04 for the input.
% 0.22/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.43 0:00:00.00 for inferences.
% 0.22/0.43 0:00:00.00 for the backtracking.
% 0.22/0.43 0:00:00.00 for the reduction.
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 Here is a proof with depth 1, length 5 :
% 0.22/0.43 % SZS output start Refutation
% See solution above
% 0.22/0.43 Formulae used in the proof : cls_Nat_Ole__add1_0 cls_Public_ONonce__supply__lemma_0 cls_conjecture_0
% 0.22/0.43
%------------------------------------------------------------------------------