TSTP Solution File: GRP644+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Sat Jul 16 11:48:35 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 23 ( 13 unt; 7 nHn; 23 RR)
% Number of literals : 78 ( 0 equ; 52 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v1_group_1(skc9),
file('GRP644+1.p',unknown),
[] ).
cnf(2,axiom,
v3_group_1(skc8),
file('GRP644+1.p',unknown),
[] ).
cnf(3,axiom,
v4_group_1(skc8),
file('GRP644+1.p',unknown),
[] ).
cnf(4,axiom,
l1_group_1(skc8),
file('GRP644+1.p',unknown),
[] ).
cnf(10,axiom,
~ v3_struct_0(skc8),
file('GRP644+1.p',unknown),
[] ).
cnf(11,axiom,
m1_group_2(skc9,skc8),
file('GRP644+1.p',unknown),
[] ).
cnf(16,axiom,
m1_subset_1(skc10,u1_struct_0(skc8)),
file('GRP644+1.p',unknown),
[] ).
cnf(26,axiom,
r2_hidden(skc10,k1_funct_1(k1_latsubgr(skc8),skc9)),
file('GRP644+1.p',unknown),
[] ).
cnf(41,axiom,
~ r2_hidden(k3_group_1(skc8,skc10),k1_funct_1(k1_latsubgr(skc8),skc9)),
file('GRP644+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ v3_group_1(u)
| ~ v4_group_1(u)
| ~ l1_group_1(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| m1_subset_1(k3_group_1(u,v),u1_struct_0(u)) ),
file('GRP644+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ r1_rlvect_1(v,w)
| ~ m1_group_2(v,u)
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| r1_rlvect_1(v,k3_group_1(u,w)) ),
file('GRP644+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ v1_group_1(u)
| ~ l1_group_1(v)
| ~ v4_group_1(v)
| ~ v3_group_1(v)
| ~ m1_group_2(u,v)
| ~ r1_rlvect_1(u,w)
| ~ m1_subset_1(w,u1_struct_0(v))
| v3_struct_0(v)
| r2_hidden(w,k1_funct_1(k1_latsubgr(v),u)) ),
file('GRP644+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ v1_group_1(u)
| ~ l1_group_1(v)
| ~ v4_group_1(v)
| ~ v3_group_1(v)
| ~ m1_group_2(u,v)
| ~ m1_subset_1(w,u1_struct_0(v))
| ~ r2_hidden(w,k1_funct_1(k1_latsubgr(v),u))
| v3_struct_0(v)
| r1_rlvect_1(u,w) ),
file('GRP644+1.p',unknown),
[] ).
cnf(136,plain,
( ~ v3_group_1(skc8)
| ~ v4_group_1(skc8)
| ~ l1_group_1(skc8)
| ~ m1_group_2(u,skc8)
| ~ r1_rlvect_1(u,skc10)
| v3_struct_0(skc8)
| r1_rlvect_1(u,k3_group_1(skc8,skc10)) ),
inference(res,[status(thm),theory(equality)],[16,73]),
[iquote('0:Res:16.0,73.3')] ).
cnf(137,plain,
( ~ l1_group_1(skc8)
| ~ v4_group_1(skc8)
| ~ v3_group_1(skc8)
| m1_subset_1(k3_group_1(skc8,skc10),u1_struct_0(skc8))
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[16,70]),
[iquote('0:Res:16.0,70.3')] ).
cnf(141,plain,
( ~ v3_group_1(skc8)
| ~ v4_group_1(skc8)
| ~ l1_group_1(skc8)
| ~ v1_group_1(skc9)
| ~ m1_group_2(skc9,skc8)
| ~ m1_subset_1(skc10,u1_struct_0(skc8))
| r1_rlvect_1(skc9,skc10)
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[26,75]),
[iquote('0:Res:26.0,75.4')] ).
cnf(148,plain,
( ~ v3_group_1(skc8)
| ~ v4_group_1(skc8)
| ~ l1_group_1(skc8)
| ~ v1_group_1(skc9)
| ~ r1_rlvect_1(skc9,k3_group_1(skc8,skc10))
| ~ m1_group_2(skc9,skc8)
| ~ m1_subset_1(k3_group_1(skc8,skc10),u1_struct_0(skc8))
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[74,41]),
[iquote('0:Res:74.7,41.0')] ).
cnf(166,plain,
m1_subset_1(k3_group_1(skc8,skc10),u1_struct_0(skc8)),
inference(mrr,[status(thm)],[137,4,3,2,10]),
[iquote('0:MRR:137.0,137.1,137.2,137.4,4.0,3.0,2.0,10.0')] ).
cnf(168,plain,
( ~ r1_rlvect_1(u,skc10)
| ~ m1_group_2(u,skc8)
| r1_rlvect_1(u,k3_group_1(skc8,skc10)) ),
inference(mrr,[status(thm)],[136,2,3,4,10]),
[iquote('0:MRR:136.0,136.1,136.2,136.5,2.0,3.0,4.0,10.0')] ).
cnf(170,plain,
r1_rlvect_1(skc9,skc10),
inference(mrr,[status(thm)],[141,2,3,4,1,11,16,10]),
[iquote('0:MRR:141.0,141.1,141.2,141.3,141.4,141.5,141.7,2.0,3.0,4.0,1.0,11.0,16.0,10.0')] ).
cnf(178,plain,
~ r1_rlvect_1(skc9,k3_group_1(skc8,skc10)),
inference(mrr,[status(thm)],[148,2,3,4,1,11,166,10]),
[iquote('0:MRR:148.0,148.1,148.2,148.3,148.5,148.6,148.7,2.0,3.0,4.0,1.0,11.0,166.0,10.0')] ).
cnf(463,plain,
( ~ r1_rlvect_1(skc9,skc10)
| ~ m1_group_2(skc9,skc8) ),
inference(res,[status(thm),theory(equality)],[168,178]),
[iquote('0:Res:168.2,178.0')] ).
cnf(464,plain,
$false,
inference(mrr,[status(thm)],[463,170,11]),
[iquote('0:MRR:463.0,463.1,170.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 06:55:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49
% 0.18/0.49 SPASS V 3.9
% 0.18/0.49 SPASS beiseite: Proof found.
% 0.18/0.49 % SZS status Theorem
% 0.18/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 SPASS derived 309 clauses, backtracked 0 clauses, performed 0 splits and kept 246 clauses.
% 0.18/0.49 SPASS allocated 98054 KBytes.
% 0.18/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.18/0.49 0:00:00.04 for the input.
% 0.18/0.49 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.49 0:00:00.01 for inferences.
% 0.18/0.49 0:00:00.00 for the backtracking.
% 0.18/0.49 0:00:00.03 for the reduction.
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 Here is a proof with depth 2, length 23 :
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 Formulae used in the proof : t22_latsubgr dt_k3_group_1 t60_group_2 t18_latsubgr
% 0.18/0.49
%------------------------------------------------------------------------------