TSTP Solution File: SWV258-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV258-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 21:41:51 EDT 2022
% Result : Unsatisfiable 86.89s 87.06s
% Output : Refutation 86.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 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 : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ c_lessequals(c_Message_Oparts(u),c_Message_Oparts(v),tc_set(tc_Message_Omsg))
| c_lessequals(u,c_Message_Oparts(v),tc_set(tc_Message_Omsg)) ),
file('SWV258-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_lessequals(u,c_Message_Oparts(v),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(u),c_Message_Oparts(v),tc_set(tc_Message_Omsg)) ),
file('SWV258-1.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('SWV258-1.p',unknown),
[] ).
cnf(8,axiom,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('SWV258-1.p',unknown),
[] ).
cnf(120,axiom,
c_lessequals(u,u,tc_set(v)),
file('SWV258-1.p',unknown),
[] ).
cnf(2698,axiom,
( ~ c_in(u,v,w)
| ~ c_lessequals(x,v,tc_set(w))
| c_lessequals(c_insert(u,x,w),v,tc_set(w)) ),
file('SWV258-1.p',unknown),
[] ).
cnf(3008,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(res,[status(thm),theory(equality)],[6,8]),
[iquote('0:Res:6.1,8.0')] ).
cnf(31720,plain,
c_lessequals(u,c_Message_Oparts(u),tc_set(tc_Message_Omsg)),
inference(res,[status(thm),theory(equality)],[120,5]),
[iquote('0:Res:120.0,5.0')] ).
cnf(114593,plain,
( ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ c_lessequals(v_H,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[2698,3008]),
[iquote('0:Res:2698.2,3008.0')] ).
cnf(114606,plain,
$false,
inference(mrr,[status(thm)],[114593,7,31720]),
[iquote('0:MRR:114593.0,114593.1,7.0,31720.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV258-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 14:23:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 86.89/87.06
% 86.89/87.06 SPASS V 3.9
% 86.89/87.06 SPASS beiseite: Proof found.
% 86.89/87.06 % SZS status Theorem
% 86.89/87.06 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.89/87.06 SPASS derived 89190 clauses, backtracked 51 clauses, performed 2 splits and kept 19117 clauses.
% 86.89/87.06 SPASS allocated 153575 KBytes.
% 86.89/87.06 SPASS spent 0:1:23.59 on the problem.
% 86.89/87.06 0:00:00.20 for the input.
% 86.89/87.06 0:00:00.00 for the FLOTTER CNF translation.
% 86.89/87.06 0:00:02.35 for inferences.
% 86.89/87.06 0:00:00.03 for the backtracking.
% 86.89/87.06 0:1:18.85 for the reduction.
% 86.89/87.06
% 86.89/87.06
% 86.89/87.06 Here is a proof with depth 2, length 10 :
% 86.89/87.06 % SZS output start Refutation
% See solution above
% 86.89/87.06 Formulae used in the proof : cls_Message_Oparts__subset__iff_0 cls_Message_Oparts__subset__iff_1 cls_conjecture_0 cls_conjecture_1 cls_Set_Osubset__refl_0 cls_Set_Oinsert__subset_2
% 86.89/87.06
%------------------------------------------------------------------------------