TSTP Solution File: SWV277-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV277-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 21:41:59 EDT 2022
% Result : Unsatisfiable 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
c_lessequals(c_Message_Oanalz(u),c_Message_Oparts(u),tc_set(tc_Message_Omsg)),
file('SWV277-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_lessequals(u,v,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_OkeysFor(u),c_Message_OkeysFor(v),tc_set(tc_nat)) ),
file('SWV277-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,v,w)
| ~ c_lessequals(v,x,tc_set(w))
| c_in(u,x,w) ),
file('SWV277-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
file('SWV277-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
file('SWV277-2.p',unknown),
[] ).
cnf(7,plain,
( ~ c_lessequals(u,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat))
| ~ c_in(v_K,u,tc_nat) ),
inference(res,[status(thm),theory(equality)],[3,4]),
[iquote('0:Res:3.2,4.0')] ).
cnf(8,plain,
~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat)),
inference(res,[status(thm),theory(equality)],[5,7]),
[iquote('0:Res:5.0,7.0')] ).
cnf(10,plain,
~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.1,8.0')] ).
cnf(11,plain,
$false,
inference(mrr,[status(thm)],[10,1]),
[iquote('0:MRR:10.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV277-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 23:36:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.40
% 0.13/0.40 SPASS V 3.9
% 0.13/0.40 SPASS beiseite: Proof found.
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 9 clauses.
% 0.13/0.40 SPASS allocated 63091 KBytes.
% 0.13/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.13/0.40 0:00:00.03 for the input.
% 0.13/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.40 0:00:00.00 for inferences.
% 0.13/0.40 0:00:00.00 for the backtracking.
% 0.13/0.40 0:00:00.00 for the reduction.
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 Here is a proof with depth 3, length 9 :
% 0.13/0.40 % SZS output start Refutation
% See solution above
% 0.13/0.40 Formulae used in the proof : cls_Message_Oanalz__subset__parts_0 cls_Message_OkeysFor__mono_0 cls_Set_OsubsetD_0 cls_conjecture_2 cls_conjecture_3
% 0.13/0.40
%------------------------------------------------------------------------------