TSTP Solution File: GRP642+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 11:48:34 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 33 ( 14 unt; 13 nHn; 33 RR)
% Number of literals : 117 ( 0 equ; 72 neg)
% Maximal clause size : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v1_group_1(skc8),
file('GRP642+1.p',unknown),
[] ).
cnf(2,axiom,
v3_group_1(skc7),
file('GRP642+1.p',unknown),
[] ).
cnf(3,axiom,
v4_group_1(skc7),
file('GRP642+1.p',unknown),
[] ).
cnf(4,axiom,
l1_group_1(skc7),
file('GRP642+1.p',unknown),
[] ).
cnf(7,axiom,
v1_xboole_0(k1_xboole_0),
file('GRP642+1.p',unknown),
[] ).
cnf(10,axiom,
~ v3_struct_0(skc7),
file('GRP642+1.p',unknown),
[] ).
cnf(11,axiom,
m1_group_2(skc8,skc7),
file('GRP642+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ l1_group_1(u)
| l1_struct_0(u) ),
file('GRP642+1.p',unknown),
[] ).
cnf(26,axiom,
equal(k1_funct_1(k1_latsubgr(skc7),skc8),k1_xboole_0),
file('GRP642+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ l1_struct_0(u)
| ~ v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u) ),
file('GRP642+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| v3_struct_0(u)
| v1_funct_1(k1_latsubgr(u)) ),
file('GRP642+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| v3_group_1(v) ),
file('GRP642+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| v3_struct_0(u)
| l1_group_1(v) ),
file('GRP642+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ v3_struct_0(v)
| ~ m1_group_2(v,u)
| v3_struct_0(u) ),
file('GRP642+1.p',unknown),
[] ).
cnf(63,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('GRP642+1.p',unknown),
[] ).
cnf(64,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('GRP642+1.p',unknown),
[] ).
cnf(73,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('GRP642+1.p',unknown),
[] ).
cnf(87,plain,
l1_struct_0(skc7),
inference(res,[status(thm),theory(equality)],[4,23]),
[iquote('0:Res:4.0,23.0')] ).
cnf(110,plain,
( ~ v3_group_1(skc7)
| ~ l1_group_1(skc7)
| v3_group_1(skc8)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[11,57]),
[iquote('0:Res:11.0,57.2')] ).
cnf(111,plain,
( ~ v3_group_1(skc7)
| ~ l1_group_1(skc7)
| l1_group_1(skc8)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[11,58]),
[iquote('0:Res:11.0,58.2')] ).
cnf(113,plain,
( ~ v3_struct_0(skc8)
| ~ v3_group_1(skc7)
| ~ l1_group_1(skc7)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[11,59]),
[iquote('0:Res:11.0,59.3')] ).
cnf(130,plain,
v3_group_1(skc8),
inference(mrr,[status(thm)],[110,2,4,10]),
[iquote('0:MRR:110.0,110.1,110.3,2.0,4.0,10.0')] ).
cnf(131,plain,
l1_group_1(skc8),
inference(mrr,[status(thm)],[111,2,4,10]),
[iquote('0:MRR:111.0,111.1,111.3,2.0,4.0,10.0')] ).
cnf(136,plain,
~ v3_struct_0(skc8),
inference(mrr,[status(thm)],[113,2,4,10]),
[iquote('0:MRR:113.1,113.2,113.3,2.0,4.0,10.0')] ).
cnf(578,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)],[64,73]),
[iquote('0:Res:64.4,73.7')] ).
cnf(582,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)],[578]),
[iquote('0:Obv:578.11')] ).
cnf(583,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)],[582,56,63]),
[iquote('0:MRR:582.0,582.6,56.4,63.4')] ).
cnf(962,plain,
( ~ l1_group_1(skc7)
| ~ v4_group_1(skc7)
| ~ v3_group_1(skc7)
| ~ v1_group_1(skc8)
| ~ m1_group_2(skc8,skc7)
| v3_struct_0(skc7)
| equal(u1_struct_0(skc8),k1_xboole_0) ),
inference(spr,[status(thm),theory(equality)],[583,26]),
[iquote('0:SpR:583.6,26.0')] ).
cnf(965,plain,
( ~ m1_group_2(skc8,skc7)
| v3_struct_0(skc7)
| equal(u1_struct_0(skc8),k1_xboole_0) ),
inference(ssi,[status(thm)],[962,1,130,131,3,2,4,87]),
[iquote('0:SSi:962.3,962.2,962.1,962.0,1.0,130.0,131.0,3.0,2.0,4.0,87.0,3.0,2.0,4.0,87.0,3.0,2.0,4.0,87.0')] ).
cnf(966,plain,
equal(u1_struct_0(skc8),k1_xboole_0),
inference(mrr,[status(thm)],[965,11,10]),
[iquote('0:MRR:965.0,965.1,11.0,10.0')] ).
cnf(1001,plain,
( ~ l1_struct_0(skc8)
| ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(skc8) ),
inference(spl,[status(thm),theory(equality)],[966,42]),
[iquote('0:SpL:966.0,42.1')] ).
cnf(1011,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(skc8) ),
inference(ssi,[status(thm)],[1001,23,1,130,131]),
[iquote('0:SSi:1001.0,23.0,1.0,130.0,131.1')] ).
cnf(1012,plain,
$false,
inference(mrr,[status(thm)],[1011,7,136]),
[iquote('0:MRR:1011.0,1011.1,7.0,136.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n011.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 : Mon Jun 13 16:19:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.52
% 0.18/0.52 SPASS V 3.9
% 0.18/0.52 SPASS beiseite: Proof found.
% 0.18/0.52 % SZS status Theorem
% 0.18/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 SPASS derived 797 clauses, backtracked 0 clauses, performed 0 splits and kept 473 clauses.
% 0.18/0.52 SPASS allocated 98559 KBytes.
% 0.18/0.52 SPASS spent 0:00:00.18 on the problem.
% 0.18/0.52 0:00:00.04 for the input.
% 0.18/0.52 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.52 0:00:00.01 for inferences.
% 0.18/0.52 0:00:00.00 for the backtracking.
% 0.18/0.52 0:00:00.06 for the reduction.
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 Here is a proof with depth 3, length 33 :
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.52 Formulae used in the proof : t20_latsubgr fc1_xboole_0 dt_l1_group_1 fc1_struct_0 dt_k1_latsubgr dt_m1_group_2 d1_latsubgr
% 0.18/0.52
%------------------------------------------------------------------------------