TSTP Solution File: SWV242-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 21:41:45 EDT 2022
% Result : Unsatisfiable 0.24s 0.44s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 7 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_lessequals(u,v,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(u),c_Message_Oanalz(v),tc_set(tc_Message_Omsg)) ),
file('SWV242-2.p',unknown),
[] ).
cnf(2,axiom,
c_lessequals(u,c_union(u,v,w),tc_set(w)),
file('SWV242-2.p',unknown),
[] ).
cnf(3,axiom,
c_lessequals(u,c_union(v,u,w),tc_set(w)),
file('SWV242-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_lessequals(u,v,tc_set(w))
| ~ c_lessequals(v,x,tc_set(w))
| c_lessequals(u,x,tc_set(w)) ),
file('SWV242-2.p',unknown),
[] ).
cnf(5,axiom,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('SWV242-2.p',unknown),
[] ).
cnf(6,axiom,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('SWV242-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('SWV242-2.p',unknown),
[] ).
cnf(10,plain,
( ~ c_lessequals(c_Message_Oanalz(v_H_H),u,tc_set(tc_Message_Omsg))
| c_lessequals(v_H,u,tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[6,4]),
[iquote('0:Res:6.0,4.1')] ).
cnf(13,plain,
( ~ c_lessequals(c_Message_Oanalz(v_G_H),u,tc_set(tc_Message_Omsg))
| c_lessequals(v_G,u,tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[5,4]),
[iquote('0:Res:5.0,4.1')] ).
cnf(14,plain,
( ~ c_lessequals(v_G_H,u,tc_set(tc_Message_Omsg))
| c_lessequals(v_G,c_Message_Oanalz(u),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.1,13.0')] ).
cnf(17,plain,
( ~ c_lessequals(v_H_H,u,tc_set(tc_Message_Omsg))
| c_lessequals(v_H,c_Message_Oanalz(u),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.1,10.0')] ).
cnf(35,plain,
( ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[14,7]),
[iquote('0:Res:14.1,7.0')] ).
cnf(37,plain,
~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(mrr,[status(thm)],[35,2]),
[iquote('0:MRR:35.0,2.0')] ).
cnf(38,plain,
~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(res,[status(thm),theory(equality)],[17,37]),
[iquote('0:Res:17.1,37.0')] ).
cnf(40,plain,
$false,
inference(mrr,[status(thm)],[38,3]),
[iquote('0:MRR:38.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15 % Command : run_spass %d %s
% 0.15/0.37 % Computer : n018.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Wed Jun 15 22:03:30 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.24/0.44
% 0.24/0.44 SPASS V 3.9
% 0.24/0.44 SPASS beiseite: Proof found.
% 0.24/0.44 % SZS status Theorem
% 0.24/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.44 SPASS derived 29 clauses, backtracked 0 clauses, performed 0 splits and kept 32 clauses.
% 0.24/0.44 SPASS allocated 63123 KBytes.
% 0.24/0.44 SPASS spent 0:00:00.06 on the problem.
% 0.24/0.44 0:00:00.04 for the input.
% 0.24/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.24/0.44 0:00:00.00 for inferences.
% 0.24/0.44 0:00:00.00 for the backtracking.
% 0.24/0.44 0:00:00.00 for the reduction.
% 0.24/0.44
% 0.24/0.44
% 0.24/0.44 Here is a proof with depth 4, length 15 :
% 0.24/0.44 % SZS output start Refutation
% See solution above
% 0.24/0.44 Formulae used in the proof : cls_Message_Oanalz__mono_0 cls_Set_OUn__upper1_0 cls_Set_OUn__upper2_0 cls_Set_Osubset__trans_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 0.24/0.44
%------------------------------------------------------------------------------