TSTP Solution File: TOP034+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 : Thu Jul 21 21:35:00 EDT 2022
% Result : Theorem 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of clauses : 43 ( 19 unt; 13 nHn; 43 RR)
% Number of literals : 137 ( 0 equ; 71 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v2_pre_topc(skc6),
file('TOP034+1.p',unknown),
[] ).
cnf(2,axiom,
l1_pre_topc(skc6),
file('TOP034+1.p',unknown),
[] ).
cnf(17,axiom,
~ v3_struct_0(skc7),
file('TOP034+1.p',unknown),
[] ).
cnf(18,axiom,
~ v3_struct_0(skc6),
file('TOP034+1.p',unknown),
[] ).
cnf(19,axiom,
v2_tsp_2(skc7,skc6),
file('TOP034+1.p',unknown),
[] ).
cnf(20,axiom,
m2_tsp_1(skc7,skc6),
file('TOP034+1.p',unknown),
[] ).
cnf(25,axiom,
~ r1_borsuk_1(skc6,skc7),
file('TOP034+1.p',unknown),
[] ).
cnf(29,axiom,
v1_funct_1(skf33(u,v)),
file('TOP034+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ l1_pre_topc(u)
| l1_struct_0(u) ),
file('TOP034+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('TOP034+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ l1_pre_topc(u)
| ~ m2_tsp_1(v,u)
| l1_pre_topc(v) ),
file('TOP034+1.p',unknown),
[] ).
cnf(124,axiom,
( ~ l1_pre_topc(u)
| ~ m2_tsp_1(v,u)
| m1_pre_topc(v,u) ),
file('TOP034+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('TOP034+1.p',unknown),
[] ).
cnf(127,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_pre_topc(v,u)
| v2_pre_topc(v) ),
file('TOP034+1.p',unknown),
[] ).
cnf(155,axiom,
( ~ l1_pre_topc(u)
| ~ m1_pre_topc(v,u)
| ~ v2_tsp_2(v,u)
| v2_t_0topsp(v)
| v3_struct_0(v)
| v3_struct_0(u) ),
file('TOP034+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m2_tsp_1(v,u)
| ~ v2_tsp_2(v,u)
| v3_struct_0(v)
| v3_struct_0(u)
| v3_borsuk_1(skf33(v,u),u,v) ),
file('TOP034+1.p',unknown),
[] ).
cnf(184,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m2_tsp_1(v,u)
| ~ v2_tsp_2(v,u)
| v3_struct_0(v)
| v3_struct_0(u)
| v5_pre_topc(skf33(v,u),u,v) ),
file('TOP034+1.p',unknown),
[] ).
cnf(193,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m2_tsp_1(v,u)
| ~ v2_tsp_2(v,u)
| v3_struct_0(v)
| v3_struct_0(u)
| m2_relset_1(skf33(v,u),u1_struct_0(u),u1_struct_0(v)) ),
file('TOP034+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m2_tsp_1(v,u)
| ~ v2_tsp_2(v,u)
| v3_struct_0(v)
| v3_struct_0(u)
| v1_funct_2(skf33(v,u),u1_struct_0(u),u1_struct_0(v)) ),
file('TOP034+1.p',unknown),
[] ).
cnf(197,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ v1_funct_1(v)
| ~ m1_pre_topc(w,u)
| ~ v5_pre_topc(v,u,w)
| ~ v3_borsuk_1(v,u,w)
| ~ v1_funct_2(v,u1_struct_0(u),u1_struct_0(w))
| ~ m2_relset_1(v,u1_struct_0(u),u1_struct_0(w))
| v3_struct_0(w)
| v3_struct_0(u)
| r1_borsuk_1(u,w) ),
file('TOP034+1.p',unknown),
[] ).
cnf(236,plain,
( ~ v2_pre_topc(skc6)
| ~ m1_pre_topc(u,skc6)
| v2_pre_topc(u) ),
inference(res,[status(thm),theory(equality)],[2,127]),
[iquote('0:Res:2.0,127.1')] ).
cnf(270,plain,
l1_struct_0(skc6),
inference(res,[status(thm),theory(equality)],[2,39]),
[iquote('0:Res:2.0,39.0')] ).
cnf(334,plain,
( ~ l1_pre_topc(skc6)
| m1_pre_topc(skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[20,124]),
[iquote('0:Res:20.0,124.1')] ).
cnf(335,plain,
( ~ l1_pre_topc(skc6)
| l1_pre_topc(skc7) ),
inference(res,[status(thm),theory(equality)],[20,85]),
[iquote('0:Res:20.0,85.1')] ).
cnf(336,plain,
( ~ v2_pre_topc(skc6)
| ~ l1_pre_topc(skc6)
| ~ m2_tsp_1(skc7,skc6)
| v1_funct_2(skf33(skc7,skc6),u1_struct_0(skc6),u1_struct_0(skc7))
| v3_struct_0(skc6)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[19,194]),
[iquote('0:Res:19.0,194.2')] ).
cnf(337,plain,
( ~ v2_pre_topc(skc6)
| ~ l1_pre_topc(skc6)
| ~ m2_tsp_1(skc7,skc6)
| m2_relset_1(skf33(skc7,skc6),u1_struct_0(skc6),u1_struct_0(skc7))
| v3_struct_0(skc6)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[19,193]),
[iquote('0:Res:19.0,193.2')] ).
cnf(340,plain,
( ~ v2_pre_topc(skc6)
| ~ l1_pre_topc(skc6)
| ~ m2_tsp_1(skc7,skc6)
| v5_pre_topc(skf33(skc7,skc6),skc6,skc7)
| v3_struct_0(skc6)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[19,184]),
[iquote('0:Res:19.0,184.2')] ).
cnf(341,plain,
( ~ v2_pre_topc(skc6)
| ~ l1_pre_topc(skc6)
| ~ m2_tsp_1(skc7,skc6)
| v3_borsuk_1(skf33(skc7,skc6),skc6,skc7)
| v3_struct_0(skc6)
| v3_struct_0(skc7) ),
inference(res,[status(thm),theory(equality)],[19,183]),
[iquote('0:Res:19.0,183.2')] ).
cnf(343,plain,
( ~ l1_pre_topc(skc6)
| ~ m1_pre_topc(skc7,skc6)
| v3_struct_0(skc6)
| v3_struct_0(skc7)
| v2_t_0topsp(skc7) ),
inference(res,[status(thm),theory(equality)],[19,155]),
[iquote('0:Res:19.0,155.1')] ).
cnf(391,plain,
l1_pre_topc(skc7),
inference(mrr,[status(thm)],[335,2]),
[iquote('0:MRR:335.0,2.0')] ).
cnf(398,plain,
m1_pre_topc(skc7,skc6),
inference(mrr,[status(thm)],[334,2]),
[iquote('0:MRR:334.0,2.0')] ).
cnf(410,plain,
( ~ m1_pre_topc(u,skc6)
| v2_pre_topc(u) ),
inference(mrr,[status(thm)],[236,1]),
[iquote('0:MRR:236.0,1.0')] ).
cnf(426,plain,
v2_t_0topsp(skc7),
inference(mrr,[status(thm)],[343,2,398,18,17]),
[iquote('0:MRR:343.0,343.1,343.2,343.3,2.0,398.0,18.0,17.0')] ).
cnf(443,plain,
v3_borsuk_1(skf33(skc7,skc6),skc6,skc7),
inference(mrr,[status(thm)],[341,1,2,20,18,17]),
[iquote('0:MRR:341.0,341.1,341.2,341.4,341.5,1.0,2.0,20.0,18.0,17.0')] ).
cnf(444,plain,
v5_pre_topc(skf33(skc7,skc6),skc6,skc7),
inference(mrr,[status(thm)],[340,1,2,20,18,17]),
[iquote('0:MRR:340.0,340.1,340.2,340.4,340.5,1.0,2.0,20.0,18.0,17.0')] ).
cnf(455,plain,
m2_relset_1(skf33(skc7,skc6),u1_struct_0(skc6),u1_struct_0(skc7)),
inference(mrr,[status(thm)],[337,1,2,20,18,17]),
[iquote('0:MRR:337.0,337.1,337.2,337.4,337.5,1.0,2.0,20.0,18.0,17.0')] ).
cnf(456,plain,
v1_funct_2(skf33(skc7,skc6),u1_struct_0(skc6),u1_struct_0(skc7)),
inference(mrr,[status(thm)],[336,1,2,20,18,17]),
[iquote('0:MRR:336.0,336.1,336.2,336.4,336.5,1.0,2.0,20.0,18.0,17.0')] ).
cnf(510,plain,
v2_pre_topc(skc7),
inference(res,[status(thm),theory(equality)],[398,410]),
[iquote('0:Res:398.0,410.0')] ).
cnf(1246,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[126,83]),
[iquote('0:Res:126.1,83.0')] ).
cnf(1657,plain,
v1_relat_1(skf33(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[455,1246]),
[iquote('0:Res:455.0,1246.0')] ).
cnf(1806,plain,
( ~ l1_pre_topc(skc6)
| ~ v2_pre_topc(skc6)
| ~ v1_funct_1(skf33(skc7,skc6))
| ~ m1_pre_topc(skc7,skc6)
| ~ v5_pre_topc(skf33(skc7,skc6),skc6,skc7)
| ~ v3_borsuk_1(skf33(skc7,skc6),skc6,skc7)
| ~ v1_funct_2(skf33(skc7,skc6),u1_struct_0(skc6),u1_struct_0(skc7))
| v3_struct_0(skc7)
| v3_struct_0(skc6)
| r1_borsuk_1(skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[455,197]),
[iquote('0:Res:455.0,197.7')] ).
cnf(1809,plain,
( ~ m1_pre_topc(skc7,skc6)
| ~ v5_pre_topc(skf33(skc7,skc6),skc6,skc7)
| ~ v3_borsuk_1(skf33(skc7,skc6),skc6,skc7)
| ~ v1_funct_2(skf33(skc7,skc6),u1_struct_0(skc6),u1_struct_0(skc7))
| v3_struct_0(skc7)
| v3_struct_0(skc6)
| r1_borsuk_1(skc6,skc7) ),
inference(ssi,[status(thm)],[1806,1657,29,426,391,510,1,2,270]),
[iquote('0:SSi:1806.2,1806.1,1806.0,1657.0,29.0,426.0,391.0,510.0,1.0,2.0,270.0,1.0,2.0,270.0,1.0,2.0,270.0')] ).
cnf(1810,plain,
$false,
inference(mrr,[status(thm)],[1809,398,444,443,456,17,18,25]),
[iquote('0:MRR:1809.0,1809.1,1809.2,1809.3,1809.4,1809.5,1809.6,398.0,444.0,443.0,456.0,17.0,18.0,25.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.09 % Command : run_spass %d %s
% 0.08/0.28 % Computer : n025.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sun May 29 05:35:41 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.42/0.59
% 0.42/0.59 SPASS V 3.9
% 0.42/0.59 SPASS beiseite: Proof found.
% 0.42/0.59 % SZS status Theorem
% 0.42/0.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 SPASS derived 1431 clauses, backtracked 0 clauses, performed 4 splits and kept 1021 clauses.
% 0.42/0.59 SPASS allocated 98867 KBytes.
% 0.42/0.59 SPASS spent 0:00:00.29 on the problem.
% 0.42/0.59 0:00:00.03 for the input.
% 0.42/0.59 0:00:00.04 for the FLOTTER CNF translation.
% 0.42/0.59 0:00:00.02 for inferences.
% 0.42/0.59 0:00:00.00 for the backtracking.
% 0.42/0.59 0:00:00.13 for the reduction.
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 Here is a proof with depth 2, length 43 :
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 Formulae used in the proof : t23_tsp_2 t22_tsp_2 dt_l1_pre_topc cc1_relset_1 dt_m2_tsp_1 redefinition_m2_tsp_1 dt_m2_relset_1 cc1_pre_topc cc2_tsp_2 d20_borsuk_1
% 0.42/0.59
%------------------------------------------------------------------------------