TSTP Solution File: SWV252-2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV252-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 21:41:49 EDT 2022
% Result : Unsatisfiable 1.20s 1.43s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of clauses : 47 ( 24 unt; 0 nHn; 47 RR)
% Number of literals : 78 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
equal(c_Message_Oparts(c_Message_Oanalz(u)),c_Message_Oparts(u)),
file('SWV252-2.p',unknown),
[] ).
cnf(4,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('SWV252-2.p',unknown),
[] ).
cnf(5,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('SWV252-2.p',unknown),
[] ).
cnf(6,axiom,
equal(c_union(c_Message_Oparts(u),c_Message_Osynth(u),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(u))),
file('SWV252-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ class_Orderings_Oorder(u)
| c_lessequals(v,v,u) ),
file('SWV252-2.p',unknown),
[] ).
cnf(8,axiom,
equal(c_union(c_minus(u,v,tc_set(w)),v,w),c_union(u,v,w)),
file('SWV252-2.p',unknown),
[] ).
cnf(9,axiom,
equal(c_union(u,c_minus(v,u,tc_set(w)),w),c_union(u,v,w)),
file('SWV252-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ c_lessequals(c_union(u,v,w),x,tc_set(w))
| c_lessequals(u,x,tc_set(w)) ),
file('SWV252-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ c_lessequals(c_union(u,v,w),x,tc_set(w))
| c_lessequals(v,x,tc_set(w)) ),
file('SWV252-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ c_lessequals(u,v,tc_set(w))
| ~ c_lessequals(x,v,tc_set(w))
| c_lessequals(c_union(u,x,w),v,tc_set(w)) ),
file('SWV252-2.p',unknown),
[] ).
cnf(13,axiom,
( ~ c_lessequals(c_insert(u,v,w),x,tc_set(w))
| c_in(u,x,w) ),
file('SWV252-2.p',unknown),
[] ).
cnf(14,axiom,
( ~ c_lessequals(c_insert(u,v,w),x,tc_set(w))
| c_lessequals(v,x,tc_set(w)) ),
file('SWV252-2.p',unknown),
[] ).
cnf(15,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('SWV252-2.p',unknown),
[] ).
cnf(16,axiom,
( ~ c_lessequals(u,v,tc_set(w))
| ~ c_lessequals(v,u,tc_set(w))
| equal(u,v) ),
file('SWV252-2.p',unknown),
[] ).
cnf(17,axiom,
class_Orderings_Oorder(tc_set(u)),
file('SWV252-2.p',unknown),
[] ).
cnf(18,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('SWV252-2.p',unknown),
[] ).
cnf(19,axiom,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('SWV252-2.p',unknown),
[] ).
cnf(29,plain,
equal(c_union(c_Message_Oparts(u),c_Message_Osynth(c_Message_Oanalz(u)),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(u)))),
inference(spr,[status(thm),theory(equality)],[3,6]),
[iquote('0:SpR:3.0,6.0')] ).
cnf(45,plain,
( ~ class_Orderings_Oorder(tc_set(tc_Message_Omsg))
| c_lessequals(u,c_Message_Oparts(u),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[7,4]),
[iquote('0:Res:7.1,4.0')] ).
cnf(47,plain,
c_lessequals(u,c_Message_Oparts(u),tc_set(tc_Message_Omsg)),
inference(ssi,[status(thm)],[45,17]),
[iquote('0:SSi:45.0,17.0')] ).
cnf(55,plain,
c_in(u,c_Message_Oparts(c_insert(u,v,tc_Message_Omsg)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[47,13]),
[iquote('0:Res:47.0,13.0')] ).
cnf(65,plain,
( ~ class_Orderings_Oorder(tc_set(u))
| c_lessequals(v,c_insert(w,v,u),tc_set(u)) ),
inference(res,[status(thm),theory(equality)],[7,14]),
[iquote('0:Res:7.1,14.0')] ).
cnf(69,plain,
c_lessequals(u,c_insert(v,u,w),tc_set(w)),
inference(ssi,[status(thm)],[65,17]),
[iquote('0:SSi:65.0,17.0')] ).
cnf(86,plain,
( ~ class_Orderings_Oorder(tc_set(u))
| c_lessequals(v,c_union(w,v,u),tc_set(u)) ),
inference(res,[status(thm),theory(equality)],[7,11]),
[iquote('0:Res:7.1,11.0')] ).
cnf(91,plain,
c_lessequals(u,c_union(v,u,w),tc_set(w)),
inference(ssi,[status(thm)],[86,17]),
[iquote('0:SSi:86.0,17.0')] ).
cnf(107,plain,
( ~ class_Orderings_Oorder(tc_set(u))
| c_lessequals(v,c_union(v,w,u),tc_set(u)) ),
inference(res,[status(thm),theory(equality)],[7,10]),
[iquote('0:Res:7.1,10.0')] ).
cnf(114,plain,
c_lessequals(u,c_union(u,v,w),tc_set(w)),
inference(ssi,[status(thm)],[107,17]),
[iquote('0:SSi:107.0,17.0')] ).
cnf(123,plain,
c_lessequals(c_minus(u,v,tc_set(w)),c_union(v,u,w),tc_set(w)),
inference(spr,[status(thm),theory(equality)],[9,91]),
[iquote('0:SpR:9.0,91.0')] ).
cnf(129,plain,
c_lessequals(c_Message_Oparts(u),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(u))),tc_set(tc_Message_Omsg)),
inference(spr,[status(thm),theory(equality)],[29,114]),
[iquote('0:SpR:29.0,114.0')] ).
cnf(194,plain,
c_lessequals(u,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(u))),tc_set(tc_Message_Omsg)),
inference(res,[status(thm),theory(equality)],[129,4]),
[iquote('0:Res:129.0,4.0')] ).
cnf(197,plain,
( ~ c_in(u,v,w)
| ~ c_lessequals(x,v,tc_set(w))
| ~ c_lessequals(v,c_insert(u,x,w),tc_set(w))
| equal(c_insert(u,x,w),v) ),
inference(res,[status(thm),theory(equality)],[15,16]),
[iquote('0:Res:15.2,16.0')] ).
cnf(219,plain,
( ~ c_lessequals(c_minus(u,v,tc_set(w)),x,tc_set(w))
| ~ c_lessequals(v,x,tc_set(w))
| c_lessequals(c_union(u,v,w),x,tc_set(w)) ),
inference(spr,[status(thm),theory(equality)],[8,12]),
[iquote('0:SpR:8.0,12.2')] ).
cnf(1400,plain,
( ~ c_in(u,v,w)
| ~ c_lessequals(v,v,tc_set(w))
| equal(c_insert(u,v,w),v) ),
inference(res,[status(thm),theory(equality)],[69,197]),
[iquote('0:Res:69.0,197.2')] ).
cnf(2625,plain,
( ~ c_lessequals(u,c_union(u,v,w),tc_set(w))
| c_lessequals(c_union(v,u,w),c_union(u,v,w),tc_set(w)) ),
inference(res,[status(thm),theory(equality)],[123,219]),
[iquote('0:Res:123.0,219.0')] ).
cnf(2630,plain,
c_lessequals(c_union(u,v,w),c_union(v,u,w),tc_set(w)),
inference(mrr,[status(thm)],[2625,114]),
[iquote('0:MRR:2625.0,114.0')] ).
cnf(3164,plain,
( ~ c_lessequals(c_union(u,v,w),c_union(v,u,w),tc_set(w))
| equal(c_union(v,u,w),c_union(u,v,w)) ),
inference(res,[status(thm),theory(equality)],[2630,16]),
[iquote('0:Res:2630.0,16.0')] ).
cnf(3170,plain,
equal(c_union(u,v,w),c_union(v,u,w)),
inference(mrr,[status(thm)],[3164,2630]),
[iquote('0:MRR:3164.0,2630.0')] ).
cnf(3172,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_H),c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(rew,[status(thm),theory(equality)],[3170,19]),
[iquote('0:Rew:3170.0,19.0')] ).
cnf(3189,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(rew,[status(thm),theory(equality)],[29,3172]),
[iquote('0:Rew:29.0,3172.0')] ).
cnf(3444,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(res,[status(thm),theory(equality)],[5,3189]),
[iquote('0:Res:5.1,3189.0')] ).
cnf(3445,plain,
( ~ c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg)
| ~ c_lessequals(v_H,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[15,3444]),
[iquote('0:Res:15.2,3444.0')] ).
cnf(3446,plain,
~ c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg),
inference(mrr,[status(thm)],[3445,194]),
[iquote('0:MRR:3445.1,194.0')] ).
cnf(4457,plain,
( ~ class_Orderings_Oorder(tc_set(u))
| ~ c_in(v,w,u)
| equal(c_insert(v,w,u),w) ),
inference(res,[status(thm),theory(equality)],[7,1400]),
[iquote('0:Res:7.1,1400.1')] ).
cnf(4469,plain,
( ~ c_in(u,v,w)
| equal(c_insert(u,v,w),v) ),
inference(ssi,[status(thm)],[4457,17]),
[iquote('0:SSi:4457.0,17.0')] ).
cnf(4473,plain,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
inference(spr,[status(thm),theory(equality)],[4469,55]),
[iquote('0:SpR:4469.1,55.0')] ).
cnf(4548,plain,
~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[4473,3446]),
[iquote('0:Res:4473.1,3446.0')] ).
cnf(4549,plain,
$false,
inference(mrr,[status(thm)],[4548,18]),
[iquote('0:MRR:4548.0,18.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV252-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.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 01:42:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.20/1.43
% 1.20/1.43 SPASS V 3.9
% 1.20/1.43 SPASS beiseite: Proof found.
% 1.20/1.43 % SZS status Theorem
% 1.20/1.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.43 SPASS derived 3818 clauses, backtracked 0 clauses, performed 0 splits and kept 2159 clauses.
% 1.20/1.43 SPASS allocated 80123 KBytes.
% 1.20/1.43 SPASS spent 0:00:01.06 on the problem.
% 1.20/1.43 0:00:00.03 for the input.
% 1.20/1.43 0:00:00.00 for the FLOTTER CNF translation.
% 1.20/1.43 0:00:00.05 for inferences.
% 1.20/1.43 0:00:00.00 for the backtracking.
% 1.20/1.43 0:00:00.93 for the reduction.
% 1.20/1.43
% 1.20/1.43
% 1.20/1.43 Here is a proof with depth 5, length 47 :
% 1.20/1.43 % SZS output start Refutation
% See solution above
% 1.20/1.43 Formulae used in the proof : cls_Message_Oparts__analz_0 cls_Message_Oparts__subset__iff_0 cls_Message_Oparts__subset__iff_1 cls_Message_Oparts__synth_0 cls_Orderings_Oorder__class_Oaxioms__1_0 cls_Set_OUn__Diff__cancel2_0 cls_Set_OUn__Diff__cancel_0 cls_Set_OUn__subset__iff_0 cls_Set_OUn__subset__iff_1 cls_Set_OUn__subset__iff_2 cls_Set_Oinsert__subset_0 cls_Set_Oinsert__subset_1 cls_Set_Oinsert__subset_2 cls_Set_Osubset__antisym_0 clsarity_set_2 cls_conjecture_0 cls_conjecture_1
% 1.20/1.43
%------------------------------------------------------------------------------