TSTP Solution File: TOP035+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP035+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 3.36s 3.60s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of clauses : 70 ( 27 unt; 25 nHn; 70 RR)
% Number of literals : 270 ( 0 equ; 165 neg)
% Maximal clause size : 14 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v2_pre_topc(skc7),
file('TOP035+1.p',unknown),
[] ).
cnf(2,axiom,
l1_pre_topc(skc7),
file('TOP035+1.p',unknown),
[] ).
cnf(17,axiom,
~ v3_struct_0(skc8),
file('TOP035+1.p',unknown),
[] ).
cnf(18,axiom,
~ v3_struct_0(skc7),
file('TOP035+1.p',unknown),
[] ).
cnf(19,axiom,
v2_tsp_2(skc8,skc7),
file('TOP035+1.p',unknown),
[] ).
cnf(20,axiom,
m2_tsp_1(skc8,skc7),
file('TOP035+1.p',unknown),
[] ).
cnf(25,axiom,
m1_subset_1(skc9,u1_struct_0(skc7)),
file('TOP035+1.p',unknown),
[] ).
cnf(26,axiom,
m1_subset_1(skc9,u1_struct_0(skc8)),
file('TOP035+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ l1_pre_topc(u)
| l1_struct_0(u) ),
file('TOP035+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('TOP035+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ l1_pre_topc(u)
| ~ m2_tsp_1(v,u)
| l1_pre_topc(v) ),
file('TOP035+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('TOP035+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ l1_pre_topc(u)
| ~ m2_tsp_1(v,u)
| m1_pre_topc(v,u) ),
file('TOP035+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('TOP035+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_pre_topc(v,u)
| v2_pre_topc(v) ),
file('TOP035+1.p',unknown),
[] ).
cnf(170,axiom,
( ~ l1_struct_0(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(k1_struct_0(u,v),k1_tarski(v)) ),
file('TOP035+1.p',unknown),
[] ).
cnf(172,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('TOP035+1.p',unknown),
[] ).
cnf(176,axiom,
~ equal(k5_pre_topc(skc7,skc8,k1_tsp_2(skc7,skc8),k6_pre_topc(skc8,k1_struct_0(skc8,skc9))),k6_pre_topc(skc7,k1_struct_0(skc7,skc9))),
file('TOP035+1.p',unknown),
[] ).
cnf(185,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_pre_topc(v,u)
| ~ v2_tsp_2(v,u)
| v3_struct_0(v)
| v3_struct_0(u)
| v1_funct_1(k1_tsp_2(u,v)) ),
file('TOP035+1.p',unknown),
[] ).
cnf(204,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_pre_topc(v,u)
| ~ v2_tsp_2(v,u)
| v3_struct_0(v)
| v3_struct_0(u)
| v5_pre_topc(k1_tsp_2(u,v),u,v) ),
file('TOP035+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_pre_topc(v,u)
| ~ v2_tsp_2(v,u)
| v3_struct_0(v)
| v3_struct_0(u)
| m2_relset_1(k1_tsp_2(u,v),u1_struct_0(u),u1_struct_0(v)) ),
file('TOP035+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_pre_topc(v,u)
| ~ v2_tsp_2(v,u)
| v3_struct_0(v)
| v3_struct_0(u)
| v1_funct_2(k1_tsp_2(u,v),u1_struct_0(u),u1_struct_0(v)) ),
file('TOP035+1.p',unknown),
[] ).
cnf(213,axiom,
( ~ v1_funct_1(u)
| ~ l1_struct_0(v)
| ~ l1_struct_0(w)
| ~ m1_relset_1(u,u1_struct_0(w),u1_struct_0(v))
| ~ v1_funct_2(u,u1_struct_0(w),u1_struct_0(v))
| equal(k5_pre_topc(w,v,u,x),k10_relat_1(u,x)) ),
file('TOP035+1.p',unknown),
[] ).
cnf(216,axiom,
( ~ v1_funct_1(u)
| ~ l1_pre_topc(v)
| ~ v2_pre_topc(v)
| ~ m2_tsp_1(w,v)
| ~ v2_tsp_2(w,v)
| ~ equal(u,k1_tsp_2(v,w))
| ~ v5_pre_topc(u,v,w)
| ~ m2_relset_1(u,u1_struct_0(v),u1_struct_0(w))
| ~ v1_funct_2(u,u1_struct_0(v),u1_struct_0(w))
| v3_struct_0(w)
| v3_struct_0(v)
| v3_borsuk_1(u,v,w) ),
file('TOP035+1.p',unknown),
[] ).
cnf(217,axiom,
( ~ v1_funct_1(u)
| ~ l1_pre_topc(v)
| ~ v2_pre_topc(v)
| ~ v2_tsp_2(w,v)
| ~ m2_tsp_1(w,v)
| ~ m1_subset_1(x,u1_struct_0(w))
| ~ m1_subset_1(x,u1_struct_0(v))
| ~ v3_borsuk_1(u,v,w)
| ~ v5_pre_topc(u,v,w)
| ~ m2_relset_1(u,u1_struct_0(v),u1_struct_0(w))
| ~ v1_funct_2(u,u1_struct_0(v),u1_struct_0(w))
| v3_struct_0(w)
| v3_struct_0(v)
| equal(k5_pre_topc(v,w,u,k6_pre_topc(w,k1_struct_0(w,x))),k6_pre_topc(v,k1_struct_0(v,x))) ),
file('TOP035+1.p',unknown),
[] ).
cnf(259,plain,
( ~ v2_pre_topc(skc7)
| ~ m1_pre_topc(u,skc7)
| v2_pre_topc(u) ),
inference(res,[status(thm),theory(equality)],[2,142]),
[iquote('0:Res:2.0,142.1')] ).
cnf(293,plain,
l1_struct_0(skc7),
inference(res,[status(thm),theory(equality)],[2,39]),
[iquote('0:Res:2.0,39.0')] ).
cnf(351,plain,
( ~ l1_pre_topc(skc7)
| m1_pre_topc(skc8,skc7) ),
inference(res,[status(thm),theory(equality)],[20,139]),
[iquote('0:Res:20.0,139.1')] ).
cnf(352,plain,
( ~ l1_pre_topc(skc7)
| l1_pre_topc(skc8) ),
inference(res,[status(thm),theory(equality)],[20,100]),
[iquote('0:Res:20.0,100.1')] ).
cnf(356,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| v1_funct_2(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc7)
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[19,212]),
[iquote('0:Res:19.0,212.2')] ).
cnf(357,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| m2_relset_1(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc7)
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[19,211]),
[iquote('0:Res:19.0,211.2')] ).
cnf(360,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| v5_pre_topc(k1_tsp_2(skc7,skc8),skc7,skc8)
| v3_struct_0(skc7)
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[19,204]),
[iquote('0:Res:19.0,204.2')] ).
cnf(361,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| v1_funct_1(k1_tsp_2(skc7,skc8))
| v3_struct_0(skc7)
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[19,185]),
[iquote('0:Res:19.0,185.2')] ).
cnf(363,plain,
( ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| v3_struct_0(skc7)
| v3_struct_0(skc8)
| v2_t_0topsp(skc8) ),
inference(res,[status(thm),theory(equality)],[19,172]),
[iquote('0:Res:19.0,172.1')] ).
cnf(391,plain,
( ~ l1_struct_0(skc7)
| ~ m1_subset_1(u,u1_struct_0(skc7))
| equal(k1_struct_0(skc7,u),k1_tarski(u)) ),
inference(res,[status(thm),theory(equality)],[170,18]),
[iquote('0:Res:170.3,18.0')] ).
cnf(457,plain,
l1_pre_topc(skc8),
inference(mrr,[status(thm)],[352,2]),
[iquote('0:MRR:352.0,2.0')] ).
cnf(464,plain,
m1_pre_topc(skc8,skc7),
inference(mrr,[status(thm)],[351,2]),
[iquote('0:MRR:351.0,2.0')] ).
cnf(477,plain,
( ~ m1_pre_topc(u,skc7)
| v2_pre_topc(u) ),
inference(mrr,[status(thm)],[259,1]),
[iquote('0:MRR:259.0,1.0')] ).
cnf(500,plain,
v2_t_0topsp(skc8),
inference(mrr,[status(thm)],[363,2,464,18,17]),
[iquote('0:MRR:363.0,363.1,363.2,363.3,2.0,464.0,18.0,17.0')] ).
cnf(504,plain,
( ~ m1_subset_1(u,u1_struct_0(skc7))
| equal(k1_struct_0(skc7,u),k1_tarski(u)) ),
inference(mrr,[status(thm)],[391,293]),
[iquote('0:MRR:391.0,293.0')] ).
cnf(523,plain,
v1_funct_1(k1_tsp_2(skc7,skc8)),
inference(mrr,[status(thm)],[361,1,2,464,18,17]),
[iquote('0:MRR:361.0,361.1,361.2,361.4,361.5,1.0,2.0,464.0,18.0,17.0')] ).
cnf(535,plain,
v5_pre_topc(k1_tsp_2(skc7,skc8),skc7,skc8),
inference(mrr,[status(thm)],[360,1,2,464,18,17]),
[iquote('0:MRR:360.0,360.1,360.2,360.4,360.5,1.0,2.0,464.0,18.0,17.0')] ).
cnf(546,plain,
m2_relset_1(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8)),
inference(mrr,[status(thm)],[357,1,2,464,18,17]),
[iquote('0:MRR:357.0,357.1,357.2,357.4,357.5,1.0,2.0,464.0,18.0,17.0')] ).
cnf(547,plain,
v1_funct_2(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8)),
inference(mrr,[status(thm)],[356,1,2,464,18,17]),
[iquote('0:MRR:356.0,356.1,356.2,356.4,356.5,1.0,2.0,464.0,18.0,17.0')] ).
cnf(619,plain,
v2_pre_topc(skc8),
inference(res,[status(thm),theory(equality)],[464,477]),
[iquote('0:Res:464.0,477.0')] ).
cnf(1345,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[141,98]),
[iquote('0:Res:141.1,98.0')] ).
cnf(1610,plain,
( ~ l1_struct_0(skc8)
| v3_struct_0(skc8)
| equal(k1_struct_0(skc8,skc9),k1_tarski(skc9)) ),
inference(res,[status(thm),theory(equality)],[26,170]),
[iquote('0:Res:26.0,170.1')] ).
cnf(1611,plain,
( ~ l1_struct_0(skc7)
| v3_struct_0(skc7)
| equal(k1_struct_0(skc7,skc9),k1_tarski(skc9)) ),
inference(res,[status(thm),theory(equality)],[25,170]),
[iquote('0:Res:25.0,170.1')] ).
cnf(1613,plain,
( v3_struct_0(skc8)
| equal(k1_struct_0(skc8,skc9),k1_tarski(skc9)) ),
inference(ssi,[status(thm)],[1610,39,500,457,619]),
[iquote('0:SSi:1610.0,39.0,500.0,457.0,619.1')] ).
cnf(1614,plain,
equal(k1_struct_0(skc8,skc9),k1_tarski(skc9)),
inference(mrr,[status(thm)],[1613,17]),
[iquote('0:MRR:1613.0,17.0')] ).
cnf(1615,plain,
~ equal(k5_pre_topc(skc7,skc8,k1_tsp_2(skc7,skc8),k6_pre_topc(skc8,k1_tarski(skc9))),k6_pre_topc(skc7,k1_struct_0(skc7,skc9))),
inference(rew,[status(thm),theory(equality)],[1614,176]),
[iquote('0:Rew:1614.0,176.0')] ).
cnf(1616,plain,
( v3_struct_0(skc7)
| equal(k1_struct_0(skc7,skc9),k1_tarski(skc9)) ),
inference(ssi,[status(thm)],[1611,2,1,293]),
[iquote('0:SSi:1611.0,2.0,1.0,293.0')] ).
cnf(1617,plain,
equal(k1_struct_0(skc7,skc9),k1_tarski(skc9)),
inference(mrr,[status(thm)],[1616,18]),
[iquote('0:MRR:1616.0,18.0')] ).
cnf(1618,plain,
~ equal(k5_pre_topc(skc7,skc8,k1_tsp_2(skc7,skc8),k6_pre_topc(skc8,k1_tarski(skc9))),k6_pre_topc(skc7,k1_tarski(skc9))),
inference(rew,[status(thm),theory(equality)],[1617,1615]),
[iquote('0:Rew:1617.0,1615.0')] ).
cnf(1741,plain,
v1_relat_1(k1_tsp_2(skc7,skc8)),
inference(res,[status(thm),theory(equality)],[546,1345]),
[iquote('0:Res:546.0,1345.0')] ).
cnf(2023,plain,
( ~ v1_funct_1(u)
| ~ l1_struct_0(v)
| ~ l1_struct_0(w)
| ~ m2_relset_1(u,u1_struct_0(w),u1_struct_0(v))
| ~ v1_funct_2(u,u1_struct_0(w),u1_struct_0(v))
| equal(k5_pre_topc(w,v,u,x),k10_relat_1(u,x)) ),
inference(res,[status(thm),theory(equality)],[110,213]),
[iquote('0:Res:110.1,213.3')] ).
cnf(2032,plain,
( ~ v1_funct_1(k1_tsp_2(skc7,skc8))
| ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ m2_tsp_1(skc8,skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ equal(k1_tsp_2(skc7,skc8),k1_tsp_2(skc7,skc8))
| ~ v5_pre_topc(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ m2_relset_1(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc8)
| v3_struct_0(skc7)
| v3_borsuk_1(k1_tsp_2(skc7,skc8),skc7,skc8) ),
inference(res,[status(thm),theory(equality)],[547,216]),
[iquote('0:Res:547.0,216.8')] ).
cnf(2034,plain,
( ~ v1_funct_1(k1_tsp_2(skc7,skc8))
| ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ m2_tsp_1(skc8,skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ v5_pre_topc(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ m2_relset_1(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc8)
| v3_struct_0(skc7)
| v3_borsuk_1(k1_tsp_2(skc7,skc8),skc7,skc8) ),
inference(obv,[status(thm),theory(equality)],[2032]),
[iquote('0:Obv:2032.5')] ).
cnf(2035,plain,
( ~ m2_tsp_1(skc8,skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ v5_pre_topc(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ m2_relset_1(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc8)
| v3_struct_0(skc7)
| v3_borsuk_1(k1_tsp_2(skc7,skc8),skc7,skc8) ),
inference(ssi,[status(thm)],[2034,2,1,293,523,1741]),
[iquote('0:SSi:2034.2,2034.1,2034.0,2.0,1.0,293.0,2.0,1.0,293.0,523.0,1741.0')] ).
cnf(2036,plain,
v3_borsuk_1(k1_tsp_2(skc7,skc8),skc7,skc8),
inference(mrr,[status(thm)],[2035,20,19,535,546,17,18]),
[iquote('0:MRR:2035.0,2035.1,2035.2,2035.3,2035.4,2035.5,20.0,19.0,535.0,546.0,17.0,18.0')] ).
cnf(2060,plain,
( ~ v1_funct_1(u)
| ~ l1_pre_topc(v)
| ~ v2_pre_topc(v)
| ~ v2_tsp_2(skc8,v)
| ~ m2_tsp_1(skc8,v)
| ~ m1_subset_1(skc9,u1_struct_0(skc8))
| ~ m1_subset_1(skc9,u1_struct_0(v))
| ~ v3_borsuk_1(u,v,skc8)
| ~ v5_pre_topc(u,v,skc8)
| ~ m2_relset_1(u,u1_struct_0(v),u1_struct_0(skc8))
| ~ v1_funct_2(u,u1_struct_0(v),u1_struct_0(skc8))
| v3_struct_0(skc8)
| v3_struct_0(v)
| equal(k5_pre_topc(v,skc8,u,k6_pre_topc(skc8,k1_tarski(skc9))),k6_pre_topc(v,k1_struct_0(v,skc9))) ),
inference(spr,[status(thm),theory(equality)],[1614,217]),
[iquote('0:SpR:1614.0,217.13')] ).
cnf(2062,plain,
( ~ v1_funct_1(u)
| ~ l1_pre_topc(v)
| ~ v2_pre_topc(v)
| ~ v2_tsp_2(skc8,v)
| ~ m2_tsp_1(skc8,v)
| ~ m1_subset_1(skc9,u1_struct_0(v))
| ~ v3_borsuk_1(u,v,skc8)
| ~ v5_pre_topc(u,v,skc8)
| ~ m2_relset_1(u,u1_struct_0(v),u1_struct_0(skc8))
| ~ v1_funct_2(u,u1_struct_0(v),u1_struct_0(skc8))
| v3_struct_0(v)
| equal(k5_pre_topc(v,skc8,u,k6_pre_topc(skc8,k1_tarski(skc9))),k6_pre_topc(v,k1_struct_0(v,skc9))) ),
inference(mrr,[status(thm)],[2060,26,17]),
[iquote('0:MRR:2060.5,2060.11,26.0,17.0')] ).
cnf(8513,plain,
( ~ v1_funct_1(k1_tsp_2(skc7,skc8))
| ~ l1_struct_0(skc8)
| ~ l1_struct_0(skc7)
| ~ v1_funct_2(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| equal(k5_pre_topc(skc7,skc8,k1_tsp_2(skc7,skc8),u),k10_relat_1(k1_tsp_2(skc7,skc8),u)) ),
inference(res,[status(thm),theory(equality)],[546,2023]),
[iquote('0:Res:546.0,2023.3')] ).
cnf(8518,plain,
( ~ v1_funct_2(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| equal(k5_pre_topc(skc7,skc8,k1_tsp_2(skc7,skc8),u),k10_relat_1(k1_tsp_2(skc7,skc8),u)) ),
inference(ssi,[status(thm)],[8513,2,1,293,39,500,457,619,523,1741]),
[iquote('0:SSi:8513.2,8513.1,8513.0,2.0,1.0,293.0,39.0,500.0,457.1,619.0,523.0,1741.0')] ).
cnf(8519,plain,
equal(k5_pre_topc(skc7,skc8,k1_tsp_2(skc7,skc8),u),k10_relat_1(k1_tsp_2(skc7,skc8),u)),
inference(mrr,[status(thm)],[8518,547]),
[iquote('0:MRR:8518.0,547.0')] ).
cnf(8520,plain,
~ equal(k10_relat_1(k1_tsp_2(skc7,skc8),k6_pre_topc(skc8,k1_tarski(skc9))),k6_pre_topc(skc7,k1_tarski(skc9))),
inference(rew,[status(thm),theory(equality)],[8519,1618]),
[iquote('0:Rew:8519.0,1618.0')] ).
cnf(13729,plain,
( ~ v1_funct_1(k1_tsp_2(skc7,skc8))
| ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ m2_tsp_1(skc8,skc7)
| ~ m1_subset_1(skc9,u1_struct_0(skc7))
| ~ v3_borsuk_1(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ v5_pre_topc(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ m2_relset_1(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| ~ v1_funct_2(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc7)
| equal(k10_relat_1(k1_tsp_2(skc7,skc8),k6_pre_topc(skc8,k1_tarski(skc9))),k6_pre_topc(skc7,k1_struct_0(skc7,skc9))) ),
inference(spr,[status(thm),theory(equality)],[2062,8519]),
[iquote('0:SpR:2062.11,8519.0')] ).
cnf(13840,plain,
( ~ v1_funct_1(k1_tsp_2(skc7,skc8))
| ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ m2_tsp_1(skc8,skc7)
| ~ m1_subset_1(skc9,u1_struct_0(skc7))
| ~ v3_borsuk_1(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ v5_pre_topc(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ m2_relset_1(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| ~ v1_funct_2(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc7)
| equal(k10_relat_1(k1_tsp_2(skc7,skc8),k6_pre_topc(skc8,k1_tarski(skc9))),k6_pre_topc(skc7,k1_tarski(skc9))) ),
inference(rew,[status(thm),theory(equality)],[504,13729]),
[iquote('0:Rew:504.1,13729.11')] ).
cnf(13841,plain,
( ~ v2_tsp_2(skc8,skc7)
| ~ m2_tsp_1(skc8,skc7)
| ~ m1_subset_1(skc9,u1_struct_0(skc7))
| ~ v3_borsuk_1(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ v5_pre_topc(k1_tsp_2(skc7,skc8),skc7,skc8)
| ~ m2_relset_1(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| ~ v1_funct_2(k1_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc7)
| equal(k10_relat_1(k1_tsp_2(skc7,skc8),k6_pre_topc(skc8,k1_tarski(skc9))),k6_pre_topc(skc7,k1_tarski(skc9))) ),
inference(ssi,[status(thm)],[13840,2,1,293,523,1741]),
[iquote('0:SSi:13840.2,13840.1,13840.0,2.0,1.0,293.0,2.0,1.0,293.0,523.0,1741.0')] ).
cnf(13842,plain,
$false,
inference(mrr,[status(thm)],[13841,19,20,25,2036,535,546,547,18,8520]),
[iquote('0:MRR:13841.0,13841.1,13841.2,13841.3,13841.4,13841.5,13841.6,13841.7,13841.8,19.0,20.0,25.0,2036.0,535.0,546.0,547.0,18.0,8520.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP035+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.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 : Sun May 29 14:42:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.36/3.60
% 3.36/3.60 SPASS V 3.9
% 3.36/3.60 SPASS beiseite: Proof found.
% 3.36/3.60 % SZS status Theorem
% 3.36/3.60 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.36/3.60 SPASS derived 11614 clauses, backtracked 92 clauses, performed 17 splits and kept 5783 clauses.
% 3.36/3.60 SPASS allocated 110200 KBytes.
% 3.36/3.60 SPASS spent 0:00:03.25 on the problem.
% 3.36/3.60 0:00:00.04 for the input.
% 3.36/3.60 0:00:00.05 for the FLOTTER CNF translation.
% 3.36/3.60 0:00:00.20 for inferences.
% 3.36/3.60 0:00:00.07 for the backtracking.
% 3.36/3.60 0:00:02.62 for the reduction.
% 3.36/3.60
% 3.36/3.60
% 3.36/3.60 Here is a proof with depth 3, length 70 :
% 3.36/3.60 % SZS output start Refutation
% See solution above
% 3.46/3.69 Formulae used in the proof : t24_tsp_2 dt_l1_pre_topc cc1_relset_1 dt_m2_tsp_1 redefinition_m2_relset_1 redefinition_m2_tsp_1 dt_m2_relset_1 cc1_pre_topc redefinition_k1_struct_0 cc2_tsp_2 dt_k1_tsp_2 redefinition_k5_pre_topc d9_tsp_2 l33_tsp_2
% 3.46/3.69
%------------------------------------------------------------------------------