TSTP Solution File: SWV263-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV263-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 21:41:54 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV263-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,v,w)
| ~ c_lessequals(v,x,tc_set(w))
| c_in(u,x,w) ),
file('SWV263-2.p',unknown),
[] ).
cnf(3,axiom,
c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
file('SWV263-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(v_X,v_G,tc_Message_Omsg),
file('SWV263-2.p',unknown),
[] ).
cnf(5,axiom,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('SWV263-2.p',unknown),
[] ).
cnf(8,plain,
( ~ c_in(u,v_G,tc_Message_Omsg)
| c_in(u,v_H,tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[3,2]),
[iquote('0:Res:3.0,2.1')] ).
cnf(9,plain,
~ c_in(v_X,v_H,tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1,5]),
[iquote('0:Res:1.1,5.0')] ).
cnf(11,plain,
c_in(v_X,v_H,tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[4,8]),
[iquote('0:Res:4.0,8.0')] ).
cnf(12,plain,
$false,
inference(mrr,[status(thm)],[11,9]),
[iquote('0:MRR:11.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV263-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 : Wed Jun 15 13:55:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.40
% 0.19/0.40 SPASS V 3.9
% 0.19/0.40 SPASS beiseite: Proof found.
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.40 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.19/0.40 SPASS allocated 63085 KBytes.
% 0.19/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.19/0.40 0:00:00.03 for the input.
% 0.19/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40 0:00:00.00 for inferences.
% 0.19/0.40 0:00:00.00 for the backtracking.
% 0.19/0.40 0:00:00.00 for the reduction.
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Here is a proof with depth 2, length 9 :
% 0.19/0.40 % SZS output start Refutation
% See solution above
% 0.19/0.40 Formulae used in the proof : cls_Message_Oparts_OInj_0 cls_Set_OsubsetD_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 0.19/0.40
%------------------------------------------------------------------------------