TSTP Solution File: GRP643+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP643+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 38 ( 18 unt; 12 nHn; 38 RR)
% Number of literals : 128 ( 0 equ; 83 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 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(skc10),
file('GRP643+1.p',unknown),
[] ).
cnf(2,axiom,
v3_group_1(skc9),
file('GRP643+1.p',unknown),
[] ).
cnf(3,axiom,
v4_group_1(skc9),
file('GRP643+1.p',unknown),
[] ).
cnf(4,axiom,
l1_group_1(skc9),
file('GRP643+1.p',unknown),
[] ).
cnf(10,axiom,
~ v3_struct_0(skc9),
file('GRP643+1.p',unknown),
[] ).
cnf(11,axiom,
m1_group_2(skc10,skc9),
file('GRP643+1.p',unknown),
[] ).
cnf(16,axiom,
m1_subset_1(skc12,u1_struct_0(skc9)),
file('GRP643+1.p',unknown),
[] ).
cnf(17,axiom,
m1_subset_1(skc11,u1_struct_0(skc9)),
file('GRP643+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ l1_group_1(u)
| l1_struct_0(u) ),
file('GRP643+1.p',unknown),
[] ).
cnf(27,axiom,
r2_hidden(skc12,k1_funct_1(k1_latsubgr(skc9),skc10)),
file('GRP643+1.p',unknown),
[] ).
cnf(28,axiom,
r2_hidden(skc11,k1_funct_1(k1_latsubgr(skc9),skc10)),
file('GRP643+1.p',unknown),
[] ).
cnf(51,axiom,
~ r2_hidden(k1_group_1(skc9,skc11,skc12),k1_funct_1(k1_latsubgr(skc9),skc10)),
file('GRP643+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| v3_group_1(v) ),
file('GRP643+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| l1_group_1(v) ),
file('GRP643+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ l1_group_1(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| m1_subset_1(k1_group_1(u,v,w),u1_struct_0(u)) ),
file('GRP643+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)
| ~ 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('GRP643+1.p',unknown),
[] ).
cnf(76,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('GRP643+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ r1_rlvect_1(v,w)
| ~ r1_rlvect_1(v,x)
| ~ m1_group_2(v,u)
| ~ m1_subset_1(w,u1_struct_0(u))
| ~ m1_subset_1(x,u1_struct_0(u))
| v3_struct_0(u)
| r1_rlvect_1(v,k1_group_1(u,x,w)) ),
file('GRP643+1.p',unknown),
[] ).
cnf(93,plain,
l1_struct_0(skc9),
inference(res,[status(thm),theory(equality)],[4,24]),
[iquote('0:Res:4.0,24.0')] ).
cnf(118,plain,
( ~ v3_group_1(skc9)
| ~ l1_group_1(skc9)
| v3_group_1(skc10)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[11,60]),
[iquote('0:Res:11.0,60.2')] ).
cnf(119,plain,
( ~ v3_group_1(skc9)
| ~ l1_group_1(skc9)
| l1_group_1(skc10)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[11,61]),
[iquote('0:Res:11.0,61.2')] ).
cnf(141,plain,
( ~ l1_group_1(skc9)
| ~ m1_subset_1(u,u1_struct_0(skc9))
| m1_subset_1(k1_group_1(skc9,skc11,u),u1_struct_0(skc9))
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[17,72]),
[iquote('0:Res:17.0,72.2')] ).
cnf(150,plain,
( ~ v3_group_1(skc9)
| ~ v4_group_1(skc9)
| ~ l1_group_1(skc9)
| ~ v1_group_1(skc10)
| ~ m1_group_2(skc10,skc9)
| ~ m1_subset_1(skc11,u1_struct_0(skc9))
| r1_rlvect_1(skc10,skc11)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[28,76]),
[iquote('0:Res:28.0,76.4')] ).
cnf(162,plain,
v3_group_1(skc10),
inference(mrr,[status(thm)],[118,2,4,10]),
[iquote('0:MRR:118.0,118.1,118.3,2.0,4.0,10.0')] ).
cnf(163,plain,
l1_group_1(skc10),
inference(mrr,[status(thm)],[119,2,4,10]),
[iquote('0:MRR:119.0,119.1,119.3,2.0,4.0,10.0')] ).
cnf(174,plain,
( ~ m1_subset_1(u,u1_struct_0(skc9))
| m1_subset_1(k1_group_1(skc9,skc11,u),u1_struct_0(skc9)) ),
inference(mrr,[status(thm)],[141,4,10]),
[iquote('0:MRR:141.0,141.3,4.0,10.0')] ).
cnf(178,plain,
r1_rlvect_1(skc10,skc11),
inference(mrr,[status(thm)],[150,2,3,4,1,11,17,10]),
[iquote('0:MRR:150.0,150.1,150.2,150.3,150.4,150.5,150.7,2.0,3.0,4.0,1.0,11.0,17.0,10.0')] ).
cnf(614,plain,
( ~ v1_group_1(skc10)
| ~ l1_group_1(skc9)
| ~ v4_group_1(skc9)
| ~ v3_group_1(skc9)
| ~ m1_group_2(skc10,skc9)
| ~ r1_rlvect_1(skc10,k1_group_1(skc9,skc11,skc12))
| ~ m1_subset_1(k1_group_1(skc9,skc11,skc12),u1_struct_0(skc9))
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[75,51]),
[iquote('0:Res:75.8,51.0')] ).
cnf(619,plain,
( ~ m1_group_2(skc10,skc9)
| ~ r1_rlvect_1(skc10,k1_group_1(skc9,skc11,skc12))
| ~ m1_subset_1(k1_group_1(skc9,skc11,skc12),u1_struct_0(skc9))
| v3_struct_0(skc9) ),
inference(ssi,[status(thm)],[614,3,2,4,93,1,162,163]),
[iquote('0:SSi:614.3,614.2,614.1,614.0,3.0,2.0,4.0,93.0,3.0,2.0,4.0,93.0,3.0,2.0,4.0,93.0,1.0,162.0,163.0')] ).
cnf(620,plain,
( ~ r1_rlvect_1(skc10,k1_group_1(skc9,skc11,skc12))
| ~ m1_subset_1(k1_group_1(skc9,skc11,skc12),u1_struct_0(skc9)) ),
inference(mrr,[status(thm)],[619,11,10]),
[iquote('0:MRR:619.0,619.3,11.0,10.0')] ).
cnf(670,plain,
( ~ v1_group_1(skc10)
| ~ l1_group_1(skc9)
| ~ v4_group_1(skc9)
| ~ v3_group_1(skc9)
| ~ m1_group_2(skc10,skc9)
| ~ m1_subset_1(skc12,u1_struct_0(skc9))
| v3_struct_0(skc9)
| r1_rlvect_1(skc10,skc12) ),
inference(res,[status(thm),theory(equality)],[27,76]),
[iquote('0:Res:27.0,76.6')] ).
cnf(673,plain,
( ~ m1_group_2(skc10,skc9)
| ~ m1_subset_1(skc12,u1_struct_0(skc9))
| v3_struct_0(skc9)
| r1_rlvect_1(skc10,skc12) ),
inference(ssi,[status(thm)],[670,3,2,4,93,1,162,163]),
[iquote('0:SSi:670.3,670.2,670.1,670.0,3.0,2.0,4.0,93.0,3.0,2.0,4.0,93.0,3.0,2.0,4.0,93.0,1.0,162.0,163.0')] ).
cnf(674,plain,
r1_rlvect_1(skc10,skc12),
inference(mrr,[status(thm)],[673,11,16,10]),
[iquote('0:MRR:673.0,673.1,673.2,11.0,16.0,10.0')] ).
cnf(726,plain,
( ~ m1_subset_1(skc12,u1_struct_0(skc9))
| ~ r1_rlvect_1(skc10,k1_group_1(skc9,skc11,skc12)) ),
inference(res,[status(thm),theory(equality)],[174,620]),
[iquote('0:Res:174.1,620.1')] ).
cnf(729,plain,
~ r1_rlvect_1(skc10,k1_group_1(skc9,skc11,skc12)),
inference(mrr,[status(thm)],[726,16]),
[iquote('0:MRR:726.0,16.0')] ).
cnf(730,plain,
( ~ l1_group_1(skc9)
| ~ v4_group_1(skc9)
| ~ v3_group_1(skc9)
| ~ r1_rlvect_1(skc10,skc12)
| ~ r1_rlvect_1(skc10,skc11)
| ~ m1_group_2(skc10,skc9)
| ~ m1_subset_1(skc12,u1_struct_0(skc9))
| ~ m1_subset_1(skc11,u1_struct_0(skc9))
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[77,729]),
[iquote('0:Res:77.9,729.0')] ).
cnf(731,plain,
( ~ r1_rlvect_1(skc10,skc12)
| ~ r1_rlvect_1(skc10,skc11)
| ~ m1_group_2(skc10,skc9)
| ~ m1_subset_1(skc12,u1_struct_0(skc9))
| ~ m1_subset_1(skc11,u1_struct_0(skc9))
| v3_struct_0(skc9) ),
inference(ssi,[status(thm)],[730,3,2,4,93]),
[iquote('0:SSi:730.2,730.1,730.0,3.0,2.0,4.0,93.0,3.0,2.0,4.0,93.0,3.0,2.0,4.0,93.0')] ).
cnf(732,plain,
$false,
inference(mrr,[status(thm)],[731,674,178,11,16,17,10]),
[iquote('0:MRR:731.0,731.1,731.2,731.3,731.4,731.5,674.0,178.0,11.0,16.0,17.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP643+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n026.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 17:53:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52
% 0.19/0.52 SPASS V 3.9
% 0.19/0.52 SPASS beiseite: Proof found.
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 SPASS derived 501 clauses, backtracked 0 clauses, performed 0 splits and kept 374 clauses.
% 0.19/0.52 SPASS allocated 98370 KBytes.
% 0.19/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.19/0.52 0:00:00.03 for the input.
% 0.19/0.52 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.52 0:00:00.01 for inferences.
% 0.19/0.52 0:00:00.00 for the backtracking.
% 0.19/0.52 0:00:00.05 for the reduction.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 Here is a proof with depth 3, length 38 :
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 Formulae used in the proof : t21_latsubgr dt_l1_group_1 dt_m1_group_2 dt_k1_group_1 t18_latsubgr t59_group_2
% 0.19/0.52
%------------------------------------------------------------------------------