TSTP Solution File: SWV268-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV268-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 21:41:55 EDT 2022
% Result : Unsatisfiable 14.47s 14.66s
% Output : Refutation 14.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 15 unt; 0 nHn; 17 RR)
% Number of literals : 19 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
equal(c_Message_Oparts(c_Message_Oparts(u)),c_Message_Oparts(u)),
file('SWV268-1.p',unknown),
[] ).
cnf(8,axiom,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('SWV268-1.p',unknown),
[] ).
cnf(9,axiom,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('SWV268-1.p',unknown),
[] ).
cnf(121,axiom,
c_lessequals(u,u,tc_set(v)),
file('SWV268-1.p',unknown),
[] ).
cnf(2601,axiom,
( ~ c_lessequals(u,v,tc_set(w))
| equal(c_minus(u,v,tc_set(w)),c_emptyset) ),
file('SWV268-1.p',unknown),
[] ).
cnf(2640,axiom,
equal(c_union(u,c_minus(v,u,tc_set(w)),w),c_union(u,v,w)),
file('SWV268-1.p',unknown),
[] ).
cnf(2648,axiom,
equal(c_union(u,c_emptyset,v),u),
file('SWV268-1.p',unknown),
[] ).
cnf(2655,axiom,
( ~ c_lessequals(c_union(u,v,w),x,tc_set(w))
| c_lessequals(v,x,tc_set(w)) ),
file('SWV268-1.p',unknown),
[] ).
cnf(2777,axiom,
equal(c_union(c_Message_Oparts(u),c_Message_Oparts(v),tc_Message_Omsg),c_Message_Oparts(c_union(u,v,tc_Message_Omsg))),
file('SWV268-1.p',unknown),
[] ).
cnf(2977,plain,
equal(c_minus(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),c_emptyset),
inference(res,[status(thm),theory(equality)],[8,2601]),
[iquote('0:Res:8.0,2601.0')] ).
cnf(28278,plain,
equal(c_union(c_Message_Oparts(v_H),c_emptyset,tc_Message_Omsg),c_union(c_Message_Oparts(v_H),v_G,tc_Message_Omsg)),
inference(spr,[status(thm),theory(equality)],[2977,2640]),
[iquote('0:SpR:2977.0,2640.0')] ).
cnf(28289,plain,
equal(c_union(c_Message_Oparts(v_H),v_G,tc_Message_Omsg),c_Message_Oparts(v_H)),
inference(rew,[status(thm),theory(equality)],[2648,28278]),
[iquote('0:Rew:2648.0,28278.0')] ).
cnf(44124,plain,
c_lessequals(u,c_union(v,u,w),tc_set(w)),
inference(res,[status(thm),theory(equality)],[121,2655]),
[iquote('0:Res:121.0,2655.0')] ).
cnf(44141,plain,
c_lessequals(c_Message_Oparts(u),c_Message_Oparts(c_union(v,u,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(spr,[status(thm),theory(equality)],[2777,44124]),
[iquote('0:SpR:2777.0,44124.0')] ).
cnf(47362,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(v_H)),tc_set(tc_Message_Omsg)),
inference(spr,[status(thm),theory(equality)],[28289,44141]),
[iquote('0:SpR:28289.0,44141.0')] ).
cnf(47369,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(rew,[status(thm),theory(equality)],[3,47362]),
[iquote('0:Rew:3.0,47362.0')] ).
cnf(47370,plain,
$false,
inference(mrr,[status(thm)],[47369,9]),
[iquote('0:MRR:47369.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWV268-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 14 18:51:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 14.47/14.66
% 14.47/14.66 SPASS V 3.9
% 14.47/14.66 SPASS beiseite: Proof found.
% 14.47/14.66 % SZS status Theorem
% 14.47/14.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.47/14.66 SPASS derived 36269 clauses, backtracked 71 clauses, performed 3 splits and kept 8215 clauses.
% 14.47/14.66 SPASS allocated 104864 KBytes.
% 14.47/14.66 SPASS spent 0:0:13.78 on the problem.
% 14.47/14.66 0:00:00.24 for the input.
% 14.47/14.66 0:00:00.00 for the FLOTTER CNF translation.
% 14.47/14.66 0:00:00.74 for inferences.
% 14.47/14.66 0:00:00.00 for the backtracking.
% 14.47/14.66 0:0:11.99 for the reduction.
% 14.47/14.66
% 14.47/14.66
% 14.47/14.66 Here is a proof with depth 3, length 17 :
% 14.47/14.66 % SZS output start Refutation
% See solution above
% 14.47/14.66 Formulae used in the proof : cls_Message_Oparts__idem_0 cls_conjecture_0 cls_conjecture_1 cls_Set_Osubset__refl_0 cls_Set_ODiff__eq__empty__iff_1 cls_Set_OUn__Diff__cancel_0 cls_Set_OUn__empty__right_0 cls_Set_OUn__subset__iff_1 cls_Message_Oparts__Un_0
% 14.47/14.66
%------------------------------------------------------------------------------