TSTP Solution File: GRP640+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP640+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 11:48:32 EDT 2022
% Result : Theorem 0.47s 0.63s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 24 ( 12 unt; 11 nHn; 24 RR)
% Number of literals : 105 ( 0 equ; 72 neg)
% Maximal clause size : 16 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
v3_group_1(skc10),
file('GRP640+1.p',unknown),
[] ).
cnf(3,axiom,
v4_group_1(skc10),
file('GRP640+1.p',unknown),
[] ).
cnf(4,axiom,
l1_group_1(skc10),
file('GRP640+1.p',unknown),
[] ).
cnf(13,axiom,
m1_group_2(skc13,skc10),
file('GRP640+1.p',unknown),
[] ).
cnf(14,axiom,
m1_group_2(skc12,skc10),
file('GRP640+1.p',unknown),
[] ).
cnf(16,axiom,
~ v3_struct_0(skc10),
file('GRP640+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ l1_group_1(u)
| l1_struct_0(u) ),
file('GRP640+1.p',unknown),
[] ).
cnf(51,axiom,
m1_subset_1(k2_xboole_0(u1_struct_0(skc12),u1_struct_0(skc13)),k1_zfmisc_1(u1_struct_0(skc10))),
file('GRP640+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ v3_group_1(u)
| ~ v4_group_1(u)
| ~ l1_group_1(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| v1_group_1(k5_group_4(u,v)) ),
file('GRP640+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ v3_group_1(u)
| ~ v4_group_1(u)
| ~ l1_group_1(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| m1_group_2(k5_group_4(u,v),u) ),
file('GRP640+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| ~ m1_group_2(w,u)
| v3_struct_0(u)
| v1_group_1(k8_group_4(u,v,w)) ),
file('GRP640+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| ~ m1_group_2(w,u)
| v3_struct_0(u)
| m1_group_2(k8_group_4(u,v,w),u) ),
file('GRP640+1.p',unknown),
[] ).
cnf(83,axiom,
~ equal(k2_funct_2(u1_struct_0(skc10),u1_struct_0(skc11),skc14,u1_struct_0(k5_group_4(skc10,k2_xboole_0(u1_struct_0(skc12),u1_struct_0(skc13))))),k2_funct_2(u1_struct_0(skc10),u1_struct_0(skc11),skc14,u1_struct_0(k8_group_4(skc10,skc12,skc13)))),
file('GRP640+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ v1_group_1(u)
| ~ v1_group_1(v)
| ~ l1_group_1(w)
| ~ v4_group_1(w)
| ~ v3_group_1(w)
| ~ m1_group_2(v,w)
| ~ m1_group_2(u,w)
| ~ r1_group_2(w,v,u)
| v3_struct_0(w)
| equal(v,u) ),
file('GRP640+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| ~ m1_group_2(w,u)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(w),u1_struct_0(v)),k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| r1_group_2(u,k8_group_4(u,w,v),k5_group_4(u,k2_xboole_0(u1_struct_0(w),u1_struct_0(v)))) ),
file('GRP640+1.p',unknown),
[] ).
cnf(147,plain,
l1_struct_0(skc10),
inference(res,[status(thm),theory(equality)],[4,31]),
[iquote('0:Res:4.0,31.0')] ).
cnf(664,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(k5_group_4(u,k2_xboole_0(u1_struct_0(v),u1_struct_0(w))))
| ~ v1_group_1(k8_group_4(u,v,w))
| ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(w,u)
| ~ m1_group_2(v,u)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(v),u1_struct_0(w)),k1_zfmisc_1(u1_struct_0(u)))
| ~ m1_group_2(k8_group_4(u,v,w),u)
| ~ m1_group_2(k5_group_4(u,k2_xboole_0(u1_struct_0(v),u1_struct_0(w))),u)
| v3_struct_0(u)
| v3_struct_0(u)
| equal(k5_group_4(u,k2_xboole_0(u1_struct_0(v),u1_struct_0(w))),k8_group_4(u,v,w)) ),
inference(res,[status(thm),theory(equality)],[89,87]),
[iquote('0:Res:89.7,87.7')] ).
cnf(667,plain,
( ~ v1_group_1(k5_group_4(u,k2_xboole_0(u1_struct_0(v),u1_struct_0(w))))
| ~ v1_group_1(k8_group_4(u,v,w))
| ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(w,u)
| ~ m1_group_2(v,u)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(v),u1_struct_0(w)),k1_zfmisc_1(u1_struct_0(u)))
| ~ m1_group_2(k8_group_4(u,v,w),u)
| ~ m1_group_2(k5_group_4(u,k2_xboole_0(u1_struct_0(v),u1_struct_0(w))),u)
| v3_struct_0(u)
| equal(k5_group_4(u,k2_xboole_0(u1_struct_0(v),u1_struct_0(w))),k8_group_4(u,v,w)) ),
inference(obv,[status(thm),theory(equality)],[664]),
[iquote('0:Obv:664.13')] ).
cnf(668,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| ~ m1_group_2(w,u)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(w),u1_struct_0(v)),k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k5_group_4(u,k2_xboole_0(u1_struct_0(w),u1_struct_0(v))),k8_group_4(u,w,v)) ),
inference(mrr,[status(thm)],[667,73,81,82,78]),
[iquote('0:MRR:667.0,667.1,667.8,667.9,73.5,81.6,82.6,78.5')] ).
cnf(1638,plain,
( ~ l1_group_1(skc10)
| ~ v4_group_1(skc10)
| ~ v3_group_1(skc10)
| ~ m1_group_2(skc13,skc10)
| ~ m1_group_2(skc12,skc10)
| v3_struct_0(skc10)
| equal(k5_group_4(skc10,k2_xboole_0(u1_struct_0(skc12),u1_struct_0(skc13))),k8_group_4(skc10,skc12,skc13)) ),
inference(res,[status(thm),theory(equality)],[51,668]),
[iquote('0:Res:51.0,668.5')] ).
cnf(1640,plain,
( ~ m1_group_2(skc13,skc10)
| ~ m1_group_2(skc12,skc10)
| v3_struct_0(skc10)
| equal(k5_group_4(skc10,k2_xboole_0(u1_struct_0(skc12),u1_struct_0(skc13))),k8_group_4(skc10,skc12,skc13)) ),
inference(ssi,[status(thm)],[1638,3,2,4,147]),
[iquote('0:SSi:1638.2,1638.1,1638.0,3.0,2.0,4.0,147.0,3.0,2.0,4.0,147.0,3.0,2.0,4.0,147.0')] ).
cnf(1641,plain,
equal(k5_group_4(skc10,k2_xboole_0(u1_struct_0(skc12),u1_struct_0(skc13))),k8_group_4(skc10,skc12,skc13)),
inference(mrr,[status(thm)],[1640,13,14,16]),
[iquote('0:MRR:1640.0,1640.1,1640.2,13.0,14.0,16.0')] ).
cnf(1646,plain,
~ equal(k2_funct_2(u1_struct_0(skc10),u1_struct_0(skc11),skc14,u1_struct_0(k8_group_4(skc10,skc12,skc13))),k2_funct_2(u1_struct_0(skc10),u1_struct_0(skc11),skc14,u1_struct_0(k8_group_4(skc10,skc12,skc13)))),
inference(rew,[status(thm),theory(equality)],[1641,83]),
[iquote('0:Rew:1641.0,83.0')] ).
cnf(1649,plain,
$false,
inference(obv,[status(thm),theory(equality)],[1646]),
[iquote('0:Obv:1646.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n011.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 22:28:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.47/0.63
% 0.47/0.63 SPASS V 3.9
% 0.47/0.63 SPASS beiseite: Proof found.
% 0.47/0.63 % SZS status Theorem
% 0.47/0.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.63 SPASS derived 1282 clauses, backtracked 34 clauses, performed 2 splits and kept 832 clauses.
% 0.47/0.63 SPASS allocated 99401 KBytes.
% 0.47/0.63 SPASS spent 0:00:00.28 on the problem.
% 0.47/0.63 0:00:00.03 for the input.
% 0.47/0.63 0:00:00.04 for the FLOTTER CNF translation.
% 0.47/0.63 0:00:00.03 for inferences.
% 0.47/0.63 0:00:00.00 for the backtracking.
% 0.47/0.63 0:00:00.13 for the reduction.
% 0.47/0.63
% 0.47/0.63
% 0.47/0.63 Here is a proof with depth 2, length 24 :
% 0.47/0.63 % SZS output start Refutation
% See solution above
% 0.47/0.63 Formulae used in the proof : t13_latsubgr dt_l1_group_1 dt_k5_group_4 dt_k8_group_4 redefinition_r1_group_2 t4_latsubgr
% 0.47/0.63
%------------------------------------------------------------------------------