TSTP Solution File: GRP618+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 11:48:18 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of clauses : 35 ( 18 unt; 11 nHn; 35 RR)
% Number of literals : 119 ( 0 equ; 75 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v1_group_1(skc16),
file('GRP618+1.p',unknown),
[] ).
cnf(2,axiom,
v3_group_1(skc16),
file('GRP618+1.p',unknown),
[] ).
cnf(3,axiom,
v4_group_1(skc16),
file('GRP618+1.p',unknown),
[] ).
cnf(4,axiom,
l1_group_1(skc16),
file('GRP618+1.p',unknown),
[] ).
cnf(31,axiom,
m1_group_2(skc17,skc16),
file('GRP618+1.p',unknown),
[] ).
cnf(32,axiom,
~ v3_struct_0(skc16),
file('GRP618+1.p',unknown),
[] ).
cnf(38,axiom,
m1_subset_1(skc19,u1_struct_0(skc16)),
file('GRP618+1.p',unknown),
[] ).
cnf(39,axiom,
m1_subset_1(skc18,u1_struct_0(skc16)),
file('GRP618+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ l1_group_1(u)
| l1_struct_0(u) ),
file('GRP618+1.p',unknown),
[] ).
cnf(57,axiom,
m1_subset_1(skf21(u,v),u1_struct_0(v)),
file('GRP618+1.p',unknown),
[] ).
cnf(58,axiom,
m1_subset_1(skf20(u,v),u1_struct_0(v)),
file('GRP618+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ v1_group_3(skc17,skc16)
| m1_subset_1(skc19,u1_struct_0(skc17)) ),
file('GRP618+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ v3_group_1(u)
| ~ l1_group_1(u)
| v3_struct_0(u)
| v2_group_1(u) ),
file('GRP618+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ v1_group_3(skc17,skc16)
| ~ r1_rlvect_1(skc17,k2_group_3(skc16,skc19,skc18)) ),
file('GRP618+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ m1_subset_1(u,u1_struct_0(skc16))
| ~ m1_subset_1(v,u1_struct_0(skc16))
| ~ m1_subset_1(v,u1_struct_0(skc17))
| r1_rlvect_1(skc17,k2_group_3(skc16,v,u))
| v1_group_3(skc17,skc16) ),
file('GRP618+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| v1_group_3(v,u)
| m1_subset_1(skf21(v,u),u1_struct_0(v)) ),
file('GRP618+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ m1_group_2(v,u)
| ~ r1_rlvect_1(v,k2_group_3(u,skf21(v,u),skf20(v,u)))
| v3_struct_0(u)
| v1_group_3(v,u) ),
file('GRP618+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ v1_group_3(v,u)
| ~ m1_group_2(v,u)
| ~ m1_subset_1(w,u1_struct_0(v))
| ~ m1_subset_1(w,u1_struct_0(u))
| ~ m1_subset_1(x,u1_struct_0(u))
| v3_struct_0(u)
| r1_rlvect_1(v,k2_group_3(u,w,x)) ),
file('GRP618+1.p',unknown),
[] ).
cnf(136,plain,
( ~ v3_group_1(skc16)
| v2_group_1(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[4,72]),
[iquote('0:Res:4.0,72.0')] ).
cnf(138,plain,
l1_struct_0(skc16),
inference(res,[status(thm),theory(equality)],[4,48]),
[iquote('0:Res:4.0,48.0')] ).
cnf(179,plain,
( ~ v3_group_1(skc16)
| ~ v4_group_1(skc16)
| ~ l1_group_1(skc16)
| ~ m1_group_2(u,skc16)
| m1_subset_1(skf21(u,skc16),u1_struct_0(u))
| v3_struct_0(skc16)
| v1_group_3(u,skc16) ),
inference(res,[status(thm),theory(equality)],[1,106]),
[iquote('0:Res:1.0,106.0')] ).
cnf(204,plain,
( ~ v1_group_1(skc16)
| ~ v3_group_1(skc16)
| ~ v4_group_1(skc16)
| ~ l1_group_1(skc16)
| ~ v1_group_3(skc17,skc16)
| ~ m1_subset_1(u,u1_struct_0(skc16))
| ~ m1_subset_1(v,u1_struct_0(skc16))
| ~ m1_subset_1(v,u1_struct_0(skc17))
| v3_struct_0(skc16)
| r1_rlvect_1(skc17,k2_group_3(skc16,v,u)) ),
inference(res,[status(thm),theory(equality)],[31,111]),
[iquote('0:Res:31.0,111.4')] ).
cnf(227,plain,
v2_group_1(skc16),
inference(mrr,[status(thm)],[136,2,32]),
[iquote('0:MRR:136.0,136.2,2.0,32.0')] ).
cnf(258,plain,
( ~ m1_group_2(u,skc16)
| v1_group_3(u,skc16)
| m1_subset_1(skf21(u,skc16),u1_struct_0(u)) ),
inference(mrr,[status(thm)],[179,2,3,4,32]),
[iquote('0:MRR:179.0,179.1,179.2,179.5,2.0,3.0,4.0,32.0')] ).
cnf(266,plain,
( ~ m1_subset_1(u,u1_struct_0(skc17))
| ~ m1_subset_1(u,u1_struct_0(skc16))
| ~ m1_subset_1(v,u1_struct_0(skc16))
| r1_rlvect_1(skc17,k2_group_3(skc16,u,v)) ),
inference(mrr,[status(thm)],[204,1,2,3,4,105,32]),
[iquote('0:MRR:204.0,204.1,204.2,204.3,204.4,204.8,1.0,2.0,3.0,4.0,105.4,32.0')] ).
cnf(272,plain,
~ v1_group_3(skc17,skc16),
inference(spt,[spt(split,[position(s1)])],[61]),
[iquote('1:Spt:61.0')] ).
cnf(1056,plain,
( ~ l1_group_1(skc16)
| ~ v4_group_1(skc16)
| ~ v3_group_1(skc16)
| ~ v1_group_1(skc16)
| ~ m1_subset_1(skf21(skc17,skc16),u1_struct_0(skc17))
| ~ m1_subset_1(skf21(skc17,skc16),u1_struct_0(skc16))
| ~ m1_subset_1(skf20(skc17,skc16),u1_struct_0(skc16))
| ~ m1_group_2(skc17,skc16)
| v3_struct_0(skc16)
| v1_group_3(skc17,skc16) ),
inference(res,[status(thm),theory(equality)],[266,110]),
[iquote('0:Res:266.3,110.5')] ).
cnf(1059,plain,
( ~ m1_subset_1(skf21(skc17,skc16),u1_struct_0(skc17))
| ~ m1_subset_1(skf21(skc17,skc16),u1_struct_0(skc16))
| ~ m1_subset_1(skf20(skc17,skc16),u1_struct_0(skc16))
| ~ m1_group_2(skc17,skc16)
| v3_struct_0(skc16)
| v1_group_3(skc17,skc16) ),
inference(ssi,[status(thm)],[1056,1,3,2,4,138,227]),
[iquote('0:SSi:1056.3,1056.2,1056.1,1056.0,1.0,3.0,2.0,4.0,138.0,227.0,1.0,3.0,2.0,4.0,138.0,227.0,1.0,3.0,2.0,4.0,138.0,227.0,1.0,3.0,2.0,4.0,138.0,227.0')] ).
cnf(1060,plain,
$false,
inference(mrr,[status(thm)],[1059,258,57,58,31,32,272]),
[iquote('1:MRR:1059.0,1059.1,1059.2,1059.3,1059.4,1059.5,258.2,57.0,58.0,31.0,32.0,272.0')] ).
cnf(1061,plain,
v1_group_3(skc17,skc16),
inference(spt,[spt(split,[position(sa)])],[1060,272]),
[iquote('1:Spt:1060.0,61.0,272.0')] ).
cnf(1062,plain,
m1_subset_1(skc19,u1_struct_0(skc17)),
inference(spt,[spt(split,[position(s2)])],[61]),
[iquote('1:Spt:1060.0,61.1')] ).
cnf(1063,plain,
~ r1_rlvect_1(skc17,k2_group_3(skc16,skc19,skc18)),
inference(mrr,[status(thm)],[73,1061]),
[iquote('1:MRR:73.0,1061.0')] ).
cnf(1071,plain,
( ~ l1_group_1(skc16)
| ~ v4_group_1(skc16)
| ~ v3_group_1(skc16)
| ~ v1_group_1(skc16)
| ~ v1_group_3(skc17,skc16)
| ~ m1_group_2(skc17,skc16)
| ~ m1_subset_1(skc19,u1_struct_0(skc17))
| ~ m1_subset_1(skc19,u1_struct_0(skc16))
| ~ m1_subset_1(skc18,u1_struct_0(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[111,1063]),
[iquote('1:Res:111.10,1063.0')] ).
cnf(1075,plain,
( ~ v1_group_3(skc17,skc16)
| ~ m1_group_2(skc17,skc16)
| ~ m1_subset_1(skc19,u1_struct_0(skc17))
| ~ m1_subset_1(skc19,u1_struct_0(skc16))
| ~ m1_subset_1(skc18,u1_struct_0(skc16))
| v3_struct_0(skc16) ),
inference(ssi,[status(thm)],[1071,1,3,2,4,138,227]),
[iquote('1:SSi:1071.3,1071.2,1071.1,1071.0,1.0,3.0,2.0,4.0,138.0,227.0,1.0,3.0,2.0,4.0,138.0,227.0,1.0,3.0,2.0,4.0,138.0,227.0,1.0,3.0,2.0,4.0,138.0,227.0')] ).
cnf(1076,plain,
$false,
inference(mrr,[status(thm)],[1075,1061,31,1062,38,39,32]),
[iquote('1:MRR:1075.0,1075.1,1075.2,1075.3,1075.4,1075.5,1061.0,31.0,1062.0,38.0,39.0,32.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 19:47:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.53
% 0.18/0.53 SPASS V 3.9
% 0.18/0.53 SPASS beiseite: Proof found.
% 0.18/0.53 % SZS status Theorem
% 0.18/0.53 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53 SPASS derived 708 clauses, backtracked 8 clauses, performed 5 splits and kept 410 clauses.
% 0.18/0.53 SPASS allocated 98678 KBytes.
% 0.18/0.53 SPASS spent 0:00:00.18 on the problem.
% 0.18/0.53 0:00:00.04 for the input.
% 0.18/0.53 0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.53 0:00:00.01 for inferences.
% 0.18/0.53 0:00:00.00 for the backtracking.
% 0.18/0.53 0:00:00.06 for the reduction.
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 Here is a proof with depth 2, length 35 :
% 0.18/0.53 % SZS output start Refutation
% See solution above
% 0.18/0.53 Formulae used in the proof : t1_autgroup existence_m1_subset_1 dt_l1_group_1 l1_autgroup cc1_group_1 l2_autgroup
% 0.18/0.53
%------------------------------------------------------------------------------