TSTP Solution File: GRP641+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 11:48:33 EDT 2022
% Result : Theorem 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of clauses : 42 ( 17 unt; 18 nHn; 42 RR)
% Number of literals : 141 ( 0 equ; 84 neg)
% Maximal clause size : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v1_group_1(skc8),
file('GRP641+1.p',unknown),
[] ).
cnf(2,axiom,
v3_group_1(skc7),
file('GRP641+1.p',unknown),
[] ).
cnf(3,axiom,
v4_group_1(skc7),
file('GRP641+1.p',unknown),
[] ).
cnf(4,axiom,
l1_group_1(skc7),
file('GRP641+1.p',unknown),
[] ).
cnf(10,axiom,
~ v3_struct_0(skc7),
file('GRP641+1.p',unknown),
[] ).
cnf(11,axiom,
m1_group_2(skc8,skc7),
file('GRP641+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ l1_group_1(u)
| l1_struct_0(u) ),
file('GRP641+1.p',unknown),
[] ).
cnf(37,axiom,
~ r2_hidden(k2_group_1(skc7),k1_funct_1(k1_latsubgr(skc7),skc8)),
file('GRP641+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ l1_struct_0(u)
| ~ v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u) ),
file('GRP641+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('GRP641+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ l1_group_1(u)
| v3_struct_0(u)
| m1_subset_1(k2_group_1(u),u1_struct_0(u)) ),
file('GRP641+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| v3_struct_0(u)
| v1_funct_1(k1_latsubgr(u)) ),
file('GRP641+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| v3_group_1(v) ),
file('GRP641+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| l1_group_1(v) ),
file('GRP641+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ v3_struct_0(v)
| ~ m1_group_2(v,u)
| v3_struct_0(u) ),
file('GRP641+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| v3_struct_0(u)
| v1_funct_2(k1_latsubgr(u),k1_group_3(u),k1_zfmisc_1(u1_struct_0(u))) ),
file('GRP641+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| v3_struct_0(u)
| m2_relset_1(k1_latsubgr(u),k1_group_3(u),k1_zfmisc_1(u1_struct_0(u))) ),
file('GRP641+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| equal(k2_group_1(v),k2_group_1(u)) ),
file('GRP641+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ v1_funct_1(u)
| ~ l1_group_1(v)
| ~ v4_group_1(v)
| ~ v3_group_1(v)
| ~ v1_group_1(w)
| ~ m1_group_2(w,v)
| ~ equal(u,k1_latsubgr(v))
| ~ m2_relset_1(u,k1_group_3(v),k1_zfmisc_1(u1_struct_0(v)))
| ~ v1_funct_2(u,k1_group_3(v),k1_zfmisc_1(u1_struct_0(v)))
| v3_struct_0(v)
| equal(k1_funct_1(u,w),u1_struct_0(w)) ),
file('GRP641+1.p',unknown),
[] ).
cnf(91,plain,
l1_struct_0(skc7),
inference(res,[status(thm),theory(equality)],[4,23]),
[iquote('0:Res:4.0,23.0')] ).
cnf(116,plain,
( ~ v3_group_1(skc7)
| ~ v4_group_1(skc7)
| ~ l1_group_1(skc7)
| v3_struct_0(skc7)
| equal(k2_group_1(skc8),k2_group_1(skc7)) ),
inference(res,[status(thm),theory(equality)],[11,66]),
[iquote('0:Res:11.0,66.3')] ).
cnf(117,plain,
( ~ v3_group_1(skc7)
| ~ l1_group_1(skc7)
| v3_group_1(skc8)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[11,58]),
[iquote('0:Res:11.0,58.2')] ).
cnf(118,plain,
( ~ v3_group_1(skc7)
| ~ l1_group_1(skc7)
| l1_group_1(skc8)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[11,59]),
[iquote('0:Res:11.0,59.2')] ).
cnf(120,plain,
( ~ v3_struct_0(skc8)
| ~ v3_group_1(skc7)
| ~ l1_group_1(skc7)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[11,60]),
[iquote('0:Res:11.0,60.3')] ).
cnf(141,plain,
v3_group_1(skc8),
inference(mrr,[status(thm)],[117,2,4,10]),
[iquote('0:MRR:117.0,117.1,117.3,2.0,4.0,10.0')] ).
cnf(142,plain,
l1_group_1(skc8),
inference(mrr,[status(thm)],[118,2,4,10]),
[iquote('0:MRR:118.0,118.1,118.3,2.0,4.0,10.0')] ).
cnf(147,plain,
~ v3_struct_0(skc8),
inference(mrr,[status(thm)],[120,2,4,10]),
[iquote('0:MRR:120.1,120.2,120.3,2.0,4.0,10.0')] ).
cnf(152,plain,
equal(k2_group_1(skc8),k2_group_1(skc7)),
inference(mrr,[status(thm)],[116,2,3,4,10]),
[iquote('0:MRR:116.0,116.1,116.2,116.3,2.0,3.0,4.0,10.0')] ).
cnf(229,plain,
( ~ l1_group_1(skc8)
| v3_struct_0(skc8)
| m1_subset_1(k2_group_1(skc7),u1_struct_0(skc8)) ),
inference(spr,[status(thm),theory(equality)],[152,49]),
[iquote('0:SpR:152.0,49.2')] ).
cnf(232,plain,
( v3_struct_0(skc8)
| m1_subset_1(k2_group_1(skc7),u1_struct_0(skc8)) ),
inference(ssi,[status(thm)],[229,1,141,142]),
[iquote('0:SSi:229.0,1.0,141.0,142.0')] ).
cnf(233,plain,
m1_subset_1(k2_group_1(skc7),u1_struct_0(skc8)),
inference(mrr,[status(thm)],[232,147]),
[iquote('0:MRR:232.0,147.0')] ).
cnf(236,plain,
( v1_xboole_0(u1_struct_0(skc8))
| r2_hidden(k2_group_1(skc7),u1_struct_0(skc8)) ),
inference(res,[status(thm),theory(equality)],[233,47]),
[iquote('0:Res:233.0,47.0')] ).
cnf(617,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_funct_1(k1_latsubgr(u))
| ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(v)
| ~ m1_group_2(v,u)
| ~ equal(k1_latsubgr(u),k1_latsubgr(u))
| ~ v1_funct_2(k1_latsubgr(u),k1_group_3(u),k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| v3_struct_0(u)
| equal(k1_funct_1(k1_latsubgr(u),v),u1_struct_0(v)) ),
inference(res,[status(thm),theory(equality)],[65,75]),
[iquote('0:Res:65.4,75.7')] ).
cnf(621,plain,
( ~ v1_funct_1(k1_latsubgr(u))
| ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(v)
| ~ m1_group_2(v,u)
| ~ v1_funct_2(k1_latsubgr(u),k1_group_3(u),k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k1_funct_1(k1_latsubgr(u),v),u1_struct_0(v)) ),
inference(obv,[status(thm),theory(equality)],[617]),
[iquote('0:Obv:617.11')] ).
cnf(622,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(v)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| equal(k1_funct_1(k1_latsubgr(u),v),u1_struct_0(v)) ),
inference(mrr,[status(thm)],[621,57,64]),
[iquote('0:MRR:621.0,621.6,57.4,64.4')] ).
cnf(1070,plain,
( ~ l1_group_1(skc7)
| ~ v4_group_1(skc7)
| ~ v3_group_1(skc7)
| ~ v1_group_1(skc8)
| ~ m1_group_2(skc8,skc7)
| ~ r2_hidden(k2_group_1(skc7),u1_struct_0(skc8))
| v3_struct_0(skc7) ),
inference(spl,[status(thm),theory(equality)],[622,37]),
[iquote('0:SpL:622.6,37.0')] ).
cnf(1073,plain,
( ~ m1_group_2(skc8,skc7)
| ~ r2_hidden(k2_group_1(skc7),u1_struct_0(skc8))
| v3_struct_0(skc7) ),
inference(ssi,[status(thm)],[1070,1,141,142,3,2,4,91]),
[iquote('0:SSi:1070.3,1070.2,1070.1,1070.0,1.0,141.0,142.0,3.0,2.0,4.0,91.0,3.0,2.0,4.0,91.0,3.0,2.0,4.0,91.0')] ).
cnf(1074,plain,
~ r2_hidden(k2_group_1(skc7),u1_struct_0(skc8)),
inference(mrr,[status(thm)],[1073,11,10]),
[iquote('0:MRR:1073.0,1073.2,11.0,10.0')] ).
cnf(1075,plain,
v1_xboole_0(u1_struct_0(skc8)),
inference(mrr,[status(thm)],[236,1074]),
[iquote('0:MRR:236.1,1074.0')] ).
cnf(1085,plain,
( ~ l1_struct_0(skc8)
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[1075,42]),
[iquote('0:Res:1075.0,42.1')] ).
cnf(1096,plain,
v3_struct_0(skc8),
inference(ssi,[status(thm)],[1085,23,1,141,142]),
[iquote('0:SSi:1085.0,23.0,1.0,141.0,142.1')] ).
cnf(1097,plain,
$false,
inference(mrr,[status(thm)],[1096,147]),
[iquote('0:MRR:1096.0,147.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n014.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 13:30:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/0.57
% 0.38/0.57 SPASS V 3.9
% 0.38/0.57 SPASS beiseite: Proof found.
% 0.38/0.57 % SZS status Theorem
% 0.38/0.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.57 SPASS derived 865 clauses, backtracked 0 clauses, performed 0 splits and kept 522 clauses.
% 0.38/0.57 SPASS allocated 98614 KBytes.
% 0.38/0.57 SPASS spent 0:00:00.21 on the problem.
% 0.38/0.57 0:00:00.04 for the input.
% 0.38/0.57 0:00:00.03 for the FLOTTER CNF translation.
% 0.38/0.57 0:00:00.02 for inferences.
% 0.38/0.57 0:00:00.00 for the backtracking.
% 0.38/0.57 0:00:00.09 for the reduction.
% 0.38/0.57
% 0.38/0.57
% 0.38/0.57 Here is a proof with depth 4, length 42 :
% 0.38/0.57 % SZS output start Refutation
% See solution above
% 0.38/0.57 Formulae used in the proof : t19_latsubgr dt_l1_group_1 fc1_struct_0 t2_subset dt_k2_group_1 dt_k1_latsubgr dt_m1_group_2 t53_group_2 d1_latsubgr
% 0.38/0.57
%------------------------------------------------------------------------------