TSTP Solution File: TOP041+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP041+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 21:35:02 EDT 2022
% Result : Theorem 107.57s 107.77s
% Output : Refutation 114.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 32
% Syntax : Number of clauses : 93 ( 31 unt; 20 nHn; 93 RR)
% Number of literals : 339 ( 0 equ; 216 neg)
% Maximal clause size : 15 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 19 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('TOP041+1.p',unknown),
[] ).
cnf(2,axiom,
l1_pre_topc(skc7),
file('TOP041+1.p',unknown),
[] ).
cnf(17,axiom,
~ v3_struct_0(skc8),
file('TOP041+1.p',unknown),
[] ).
cnf(18,axiom,
~ v3_struct_0(skc7),
file('TOP041+1.p',unknown),
[] ).
cnf(19,axiom,
v2_tsp_2(skc8,skc7),
file('TOP041+1.p',unknown),
[] ).
cnf(20,axiom,
m2_tsp_1(skc8,skc7),
file('TOP041+1.p',unknown),
[] ).
cnf(21,axiom,
v3_pre_topc(skc9,skc7),
file('TOP041+1.p',unknown),
[] ).
cnf(28,axiom,
m1_subset_1(skc9,k1_zfmisc_1(u1_struct_0(skc7))),
file('TOP041+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ l1_pre_topc(u)
| l1_struct_0(u) ),
file('TOP041+1.p',unknown),
[] ).
cnf(61,axiom,
equal(k3_xboole_0(u,v),k3_xboole_0(v,u)),
file('TOP041+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('TOP041+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ l1_pre_topc(u)
| ~ m1_tsp_1(v,u)
| l1_pre_topc(v) ),
file('TOP041+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ l1_pre_topc(u)
| ~ m2_tsp_1(v,u)
| l1_pre_topc(v) ),
file('TOP041+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('TOP041+1.p',unknown),
[] ).
cnf(136,axiom,
~ v3_pre_topc(k4_pre_topc(skc7,skc8,k4_tsp_2(skc7,skc8),skc9),skc8),
file('TOP041+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ l1_pre_topc(u)
| ~ m1_pre_topc(v,u)
| m1_tsp_1(v,u) ),
file('TOP041+1.p',unknown),
[] ).
cnf(164,axiom,
( ~ l1_pre_topc(u)
| ~ m2_tsp_1(v,u)
| m1_pre_topc(v,u) ),
file('TOP041+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('TOP041+1.p',unknown),
[] ).
cnf(169,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_pre_topc(v,u)
| v2_pre_topc(v) ),
file('TOP041+1.p',unknown),
[] ).
cnf(180,axiom,
( ~ l1_pre_topc(u)
| ~ m1_pre_topc(v,u)
| m1_subset_1(u1_struct_0(v),k1_zfmisc_1(u1_struct_0(u))) ),
file('TOP041+1.p',unknown),
[] ).
cnf(200,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('TOP041+1.p',unknown),
[] ).
cnf(208,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| ~ m1_subset_1(w,k1_zfmisc_1(v))
| equal(k5_subset_1(v,w,u),k3_xboole_0(w,u)) ),
file('TOP041+1.p',unknown),
[] ).
cnf(214,axiom,
( ~ v3_pre_topc(u,v)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(v)))
| ~ equal(w,k3_xboole_0(u,u1_struct_0(x)))
| skP0(x,w,v) ),
file('TOP041+1.p',unknown),
[] ).
cnf(215,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(k4_tsp_2(u,v)) ),
file('TOP041+1.p',unknown),
[] ).
cnf(232,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ v3_pre_topc(v,u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k3_tex_4(u,v),v) ),
file('TOP041+1.p',unknown),
[] ).
cnf(236,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(k4_tsp_2(u,v),u,v) ),
file('TOP041+1.p',unknown),
[] ).
cnf(238,axiom,
( ~ l1_pre_topc(u)
| ~ l1_pre_topc(v)
| ~ m1_tsp_1(v,u)
| ~ skP0(v,w,u)
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(v)))
| v3_pre_topc(w,v) ),
file('TOP041+1.p',unknown),
[] ).
cnf(247,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(k4_tsp_2(u,v),u1_struct_0(u),u1_struct_0(v)) ),
file('TOP041+1.p',unknown),
[] ).
cnf(248,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(k4_tsp_2(u,v),u1_struct_0(u),u1_struct_0(v)) ),
file('TOP041+1.p',unknown),
[] ).
cnf(253,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(k4_pre_topc(w,v,u,x),k9_relat_1(u,x)) ),
file('TOP041+1.p',unknown),
[] ).
cnf(254,axiom,
( ~ l1_struct_0(u)
| ~ l1_struct_0(v)
| ~ v1_funct_1(w)
| ~ v1_funct_2(w,u1_struct_0(u),u1_struct_0(v))
| ~ m1_relset_1(w,u1_struct_0(u),u1_struct_0(v))
| m1_subset_1(k4_pre_topc(u,v,w,x),k1_zfmisc_1(u1_struct_0(v))) ),
file('TOP041+1.p',unknown),
[] ).
cnf(257,axiom,
( ~ v1_funct_1(u)
| ~ l1_pre_topc(v)
| ~ v2_pre_topc(v)
| ~ m2_tsp_1(w,v)
| ~ v2_tsp_2(w,v)
| ~ m1_subset_1(x,k1_zfmisc_1(u1_struct_0(v)))
| ~ equal(u,k4_tsp_2(v,w))
| ~ m1_subset_1(u1_struct_0(w),k1_zfmisc_1(u1_struct_0(v)))
| ~ 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_subset_1(u1_struct_0(v),u1_struct_0(w),k3_tex_4(v,x)),k4_pre_topc(v,w,u,x)) ),
file('TOP041+1.p',unknown),
[] ).
cnf(263,plain,
( ~ l1_pre_topc(u)
| ~ m1_tsp_1(v,u)
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(v)))
| ~ skP0(v,w,u)
| v3_pre_topc(w,v) ),
inference(mrr,[status(thm)],[238,121]),
[iquote('0:MRR:238.1,121.2')] ).
cnf(269,plain,
( ~ 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))
| m1_subset_1(k9_relat_1(u,x),k1_zfmisc_1(u1_struct_0(v))) ),
inference(rew,[status(thm),theory(equality)],[253,254]),
[iquote('0:Rew:253.5,254.5')] ).
cnf(281,plain,
( ~ m1_tsp_1(u,skc7)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ skP0(u,v,skc7)
| v3_pre_topc(v,u) ),
inference(res,[status(thm),theory(equality)],[2,263]),
[iquote('0:Res:2.0,263.0')] ).
cnf(314,plain,
( ~ m1_pre_topc(u,skc7)
| m1_subset_1(u1_struct_0(u),k1_zfmisc_1(u1_struct_0(skc7))) ),
inference(res,[status(thm),theory(equality)],[2,180]),
[iquote('0:Res:2.0,180.0')] ).
cnf(315,plain,
( ~ v2_pre_topc(skc7)
| ~ m1_pre_topc(u,skc7)
| v2_pre_topc(u) ),
inference(res,[status(thm),theory(equality)],[2,169]),
[iquote('0:Res:2.0,169.1')] ).
cnf(353,plain,
l1_struct_0(skc7),
inference(res,[status(thm),theory(equality)],[2,38]),
[iquote('0:Res:2.0,38.0')] ).
cnf(415,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_subset_1(skc9,k1_zfmisc_1(u1_struct_0(skc7)))
| v3_struct_0(skc7)
| equal(k3_tex_4(skc7,skc9),skc9) ),
inference(res,[status(thm),theory(equality)],[21,232]),
[iquote('0:Res:21.0,232.3')] ).
cnf(422,plain,
( ~ m1_subset_1(skc9,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ equal(u,k3_xboole_0(skc9,u1_struct_0(v)))
| skP0(v,u,skc7) ),
inference(res,[status(thm),theory(equality)],[21,214]),
[iquote('0:Res:21.0,214.1')] ).
cnf(424,plain,
( ~ l1_pre_topc(skc7)
| m1_pre_topc(skc8,skc7) ),
inference(res,[status(thm),theory(equality)],[20,164]),
[iquote('0:Res:20.0,164.1')] ).
cnf(425,plain,
( ~ l1_pre_topc(skc7)
| l1_pre_topc(skc8) ),
inference(res,[status(thm),theory(equality)],[20,122]),
[iquote('0:Res:20.0,122.1')] ).
cnf(429,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| v1_funct_2(k4_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)],[19,248]),
[iquote('0:Res:19.0,248.2')] ).
cnf(430,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| m2_relset_1(k4_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)],[19,247]),
[iquote('0:Res:19.0,247.2')] ).
cnf(434,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| v5_pre_topc(k4_tsp_2(skc7,skc8),skc7,skc8)
| v3_struct_0(skc7)
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[19,236]),
[iquote('0:Res:19.0,236.2')] ).
cnf(435,plain,
( ~ v2_pre_topc(skc7)
| ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7)
| v1_funct_1(k4_tsp_2(skc7,skc8))
| v3_struct_0(skc7)
| v3_struct_0(skc8) ),
inference(res,[status(thm),theory(equality)],[19,215]),
[iquote('0:Res:19.0,215.2')] ).
cnf(437,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)],[19,200]),
[iquote('0:Res:19.0,200.1')] ).
cnf(535,plain,
l1_pre_topc(skc8),
inference(mrr,[status(thm)],[425,2]),
[iquote('0:MRR:425.0,2.0')] ).
cnf(542,plain,
m1_pre_topc(skc8,skc7),
inference(mrr,[status(thm)],[424,2]),
[iquote('0:MRR:424.0,2.0')] ).
cnf(555,plain,
( ~ m1_pre_topc(u,skc7)
| v2_pre_topc(u) ),
inference(mrr,[status(thm)],[315,1]),
[iquote('0:MRR:315.0,1.0')] ).
cnf(578,plain,
v2_t_0topsp(skc8),
inference(mrr,[status(thm)],[437,2,542,18,17]),
[iquote('0:MRR:437.0,437.1,437.2,437.3,2.0,542.0,18.0,17.0')] ).
cnf(598,plain,
( ~ equal(u,k3_xboole_0(skc9,u1_struct_0(v)))
| skP0(v,u,skc7) ),
inference(mrr,[status(thm)],[422,28]),
[iquote('0:MRR:422.0,28.0')] ).
cnf(608,plain,
v1_funct_1(k4_tsp_2(skc7,skc8)),
inference(mrr,[status(thm)],[435,1,2,542,18,17]),
[iquote('0:MRR:435.0,435.1,435.2,435.4,435.5,1.0,2.0,542.0,18.0,17.0')] ).
cnf(619,plain,
equal(k3_tex_4(skc7,skc9),skc9),
inference(mrr,[status(thm)],[415,1,2,28,18]),
[iquote('0:MRR:415.0,415.1,415.2,415.3,1.0,2.0,28.0,18.0')] ).
cnf(622,plain,
v5_pre_topc(k4_tsp_2(skc7,skc8),skc7,skc8),
inference(mrr,[status(thm)],[434,1,2,542,18,17]),
[iquote('0:MRR:434.0,434.1,434.2,434.4,434.5,1.0,2.0,542.0,18.0,17.0')] ).
cnf(636,plain,
m2_relset_1(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8)),
inference(mrr,[status(thm)],[430,1,2,542,18,17]),
[iquote('0:MRR:430.0,430.1,430.2,430.4,430.5,1.0,2.0,542.0,18.0,17.0')] ).
cnf(637,plain,
v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8)),
inference(mrr,[status(thm)],[429,1,2,542,18,17]),
[iquote('0:MRR:429.0,429.1,429.2,429.4,429.5,1.0,2.0,542.0,18.0,17.0')] ).
cnf(706,plain,
v2_pre_topc(skc8),
inference(res,[status(thm),theory(equality)],[542,555]),
[iquote('0:Res:542.0,555.0')] ).
cnf(1862,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[167,119]),
[iquote('0:Res:167.1,119.0')] ).
cnf(2457,plain,
v1_relat_1(k4_tsp_2(skc7,skc8)),
inference(res,[status(thm),theory(equality)],[636,1862]),
[iquote('0:Res:636.0,1862.0')] ).
cnf(2939,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))
| m1_subset_1(k9_relat_1(u,x),k1_zfmisc_1(u1_struct_0(v))) ),
inference(res,[status(thm),theory(equality)],[132,269]),
[iquote('0:Res:132.1,269.3')] ).
cnf(2949,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(k4_pre_topc(w,v,u,x),k9_relat_1(u,x)) ),
inference(res,[status(thm),theory(equality)],[132,253]),
[iquote('0:Res:132.1,253.3')] ).
cnf(2962,plain,
( ~ l1_pre_topc(u)
| ~ v1_funct_1(v)
| ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_pre_topc(w,u)
| ~ m2_tsp_1(w,u)
| ~ v2_tsp_2(w,u)
| ~ m1_subset_1(x,k1_zfmisc_1(u1_struct_0(u)))
| ~ equal(v,k4_tsp_2(u,w))
| ~ v5_pre_topc(v,u,w)
| ~ m2_relset_1(v,u1_struct_0(u),u1_struct_0(w))
| ~ v1_funct_2(v,u1_struct_0(u),u1_struct_0(w))
| v3_struct_0(w)
| v3_struct_0(u)
| equal(k5_subset_1(u1_struct_0(u),u1_struct_0(w),k3_tex_4(u,x)),k4_pre_topc(u,w,v,x)) ),
inference(res,[status(thm),theory(equality)],[180,257]),
[iquote('0:Res:180.2,257.7')] ).
cnf(2964,plain,
( ~ v1_funct_1(u)
| ~ l1_pre_topc(v)
| ~ v2_pre_topc(v)
| ~ m1_pre_topc(w,v)
| ~ m2_tsp_1(w,v)
| ~ v2_tsp_2(w,v)
| ~ m1_subset_1(x,k1_zfmisc_1(u1_struct_0(v)))
| ~ equal(u,k4_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)
| equal(k5_subset_1(u1_struct_0(v),u1_struct_0(w),k3_tex_4(v,x)),k4_pre_topc(v,w,u,x)) ),
inference(obv,[status(thm),theory(equality)],[2962]),
[iquote('0:Obv:2962.0')] ).
cnf(2965,plain,
( ~ v1_funct_1(u)
| ~ l1_pre_topc(v)
| ~ v2_pre_topc(v)
| ~ m2_tsp_1(w,v)
| ~ v2_tsp_2(w,v)
| ~ m1_subset_1(x,k1_zfmisc_1(u1_struct_0(v)))
| ~ equal(u,k4_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)
| equal(k5_subset_1(u1_struct_0(v),u1_struct_0(w),k3_tex_4(v,x)),k4_pre_topc(v,w,u,x)) ),
inference(mrr,[status(thm)],[2964,164]),
[iquote('0:MRR:2964.3,164.2')] ).
cnf(3682,plain,
skP0(u,k3_xboole_0(skc9,u1_struct_0(u)),skc7),
inference(eqr,[status(thm),theory(equality)],[598]),
[iquote('0:EqR:598.0')] ).
cnf(13041,plain,
( ~ v1_funct_1(k4_tsp_2(skc7,skc8))
| ~ l1_struct_0(skc8)
| ~ l1_struct_0(skc7)
| ~ v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| m1_subset_1(k9_relat_1(k4_tsp_2(skc7,skc8),u),k1_zfmisc_1(u1_struct_0(skc8))) ),
inference(res,[status(thm),theory(equality)],[636,2939]),
[iquote('0:Res:636.0,2939.3')] ).
cnf(13048,plain,
( ~ v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| m1_subset_1(k9_relat_1(k4_tsp_2(skc7,skc8),u),k1_zfmisc_1(u1_struct_0(skc8))) ),
inference(ssi,[status(thm)],[13041,1,2,353,38,578,535,706,608,2457]),
[iquote('0:SSi:13041.2,13041.1,13041.0,1.0,2.0,353.0,38.0,578.0,535.1,706.0,608.0,2457.0')] ).
cnf(13049,plain,
m1_subset_1(k9_relat_1(k4_tsp_2(skc7,skc8),u),k1_zfmisc_1(u1_struct_0(skc8))),
inference(mrr,[status(thm)],[13048,637]),
[iquote('0:MRR:13048.0,637.0')] ).
cnf(13073,plain,
( ~ m1_tsp_1(skc8,skc7)
| ~ skP0(skc8,k9_relat_1(k4_tsp_2(skc7,skc8),u),skc7)
| v3_pre_topc(k9_relat_1(k4_tsp_2(skc7,skc8),u),skc8) ),
inference(res,[status(thm),theory(equality)],[13049,281]),
[iquote('0:Res:13049.0,281.1')] ).
cnf(14138,plain,
( ~ v1_funct_1(k4_tsp_2(skc7,skc8))
| ~ l1_struct_0(skc8)
| ~ l1_struct_0(skc7)
| ~ v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| equal(k4_pre_topc(skc7,skc8,k4_tsp_2(skc7,skc8),u),k9_relat_1(k4_tsp_2(skc7,skc8),u)) ),
inference(res,[status(thm),theory(equality)],[636,2949]),
[iquote('0:Res:636.0,2949.3')] ).
cnf(14145,plain,
( ~ v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| equal(k4_pre_topc(skc7,skc8,k4_tsp_2(skc7,skc8),u),k9_relat_1(k4_tsp_2(skc7,skc8),u)) ),
inference(ssi,[status(thm)],[14138,1,2,353,38,578,535,706,608,2457]),
[iquote('0:SSi:14138.2,14138.1,14138.0,1.0,2.0,353.0,38.0,578.0,535.1,706.0,608.0,2457.0')] ).
cnf(14146,plain,
equal(k4_pre_topc(skc7,skc8,k4_tsp_2(skc7,skc8),u),k9_relat_1(k4_tsp_2(skc7,skc8),u)),
inference(mrr,[status(thm)],[14145,637]),
[iquote('0:MRR:14145.0,637.0')] ).
cnf(14147,plain,
~ v3_pre_topc(k9_relat_1(k4_tsp_2(skc7,skc8),skc9),skc8),
inference(rew,[status(thm),theory(equality)],[14146,136]),
[iquote('0:Rew:14146.0,136.0')] ).
cnf(14796,plain,
( ~ v1_funct_1(k4_tsp_2(skc7,skc8))
| ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ m2_tsp_1(skc8,skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ equal(k4_tsp_2(skc7,skc8),k4_tsp_2(skc7,skc8))
| ~ v5_pre_topc(k4_tsp_2(skc7,skc8),skc7,skc8)
| ~ v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc8)
| v3_struct_0(skc7)
| equal(k5_subset_1(u1_struct_0(skc7),u1_struct_0(skc8),k3_tex_4(skc7,u)),k4_pre_topc(skc7,skc8,k4_tsp_2(skc7,skc8),u)) ),
inference(res,[status(thm),theory(equality)],[636,2965]),
[iquote('0:Res:636.0,2965.8')] ).
cnf(14803,plain,
( ~ v1_funct_1(k4_tsp_2(skc7,skc8))
| ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ m2_tsp_1(skc8,skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ v5_pre_topc(k4_tsp_2(skc7,skc8),skc7,skc8)
| ~ v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc8)
| v3_struct_0(skc7)
| equal(k5_subset_1(u1_struct_0(skc7),u1_struct_0(skc8),k3_tex_4(skc7,u)),k4_pre_topc(skc7,skc8,k4_tsp_2(skc7,skc8),u)) ),
inference(obv,[status(thm),theory(equality)],[14796]),
[iquote('0:Obv:14796.6')] ).
cnf(14804,plain,
( ~ v1_funct_1(k4_tsp_2(skc7,skc8))
| ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ m2_tsp_1(skc8,skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ v5_pre_topc(k4_tsp_2(skc7,skc8),skc7,skc8)
| ~ v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc8)
| v3_struct_0(skc7)
| equal(k5_subset_1(u1_struct_0(skc7),u1_struct_0(skc8),k3_tex_4(skc7,u)),k9_relat_1(k4_tsp_2(skc7,skc8),u)) ),
inference(rew,[status(thm),theory(equality)],[14146,14803]),
[iquote('0:Rew:14146.0,14803.10')] ).
cnf(14805,plain,
( ~ m2_tsp_1(skc8,skc7)
| ~ v2_tsp_2(skc8,skc7)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ v5_pre_topc(k4_tsp_2(skc7,skc8),skc7,skc8)
| ~ v1_funct_2(k4_tsp_2(skc7,skc8),u1_struct_0(skc7),u1_struct_0(skc8))
| v3_struct_0(skc8)
| v3_struct_0(skc7)
| equal(k5_subset_1(u1_struct_0(skc7),u1_struct_0(skc8),k3_tex_4(skc7,u)),k9_relat_1(k4_tsp_2(skc7,skc8),u)) ),
inference(ssi,[status(thm)],[14804,1,2,353,608,2457]),
[iquote('0:SSi:14804.2,14804.1,14804.0,1.0,2.0,353.0,1.0,2.0,353.0,608.0,2457.0')] ).
cnf(14806,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc7)))
| equal(k5_subset_1(u1_struct_0(skc7),u1_struct_0(skc8),k3_tex_4(skc7,u)),k9_relat_1(k4_tsp_2(skc7,skc8),u)) ),
inference(mrr,[status(thm)],[14805,20,19,622,637,17,18]),
[iquote('0:MRR:14805.0,14805.1,14805.3,14805.4,14805.5,14805.6,20.0,19.0,622.0,637.0,17.0,18.0')] ).
cnf(20784,plain,
( ~ m1_subset_1(skc9,k1_zfmisc_1(u1_struct_0(skc7)))
| equal(k5_subset_1(u1_struct_0(skc7),u1_struct_0(skc8),skc9),k9_relat_1(k4_tsp_2(skc7,skc8),skc9)) ),
inference(spr,[status(thm),theory(equality)],[619,14806]),
[iquote('0:SpR:619.0,14806.1')] ).
cnf(20818,plain,
equal(k5_subset_1(u1_struct_0(skc7),u1_struct_0(skc8),skc9),k9_relat_1(k4_tsp_2(skc7,skc8),skc9)),
inference(mrr,[status(thm)],[20784,28]),
[iquote('0:MRR:20784.0,28.0')] ).
cnf(20839,plain,
( ~ m1_subset_1(skc9,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ m1_subset_1(u1_struct_0(skc8),k1_zfmisc_1(u1_struct_0(skc7)))
| equal(k9_relat_1(k4_tsp_2(skc7,skc8),skc9),k3_xboole_0(u1_struct_0(skc8),skc9)) ),
inference(spr,[status(thm),theory(equality)],[20818,208]),
[iquote('0:SpR:20818.0,208.2')] ).
cnf(20841,plain,
( ~ m1_subset_1(skc9,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ m1_subset_1(u1_struct_0(skc8),k1_zfmisc_1(u1_struct_0(skc7)))
| equal(k9_relat_1(k4_tsp_2(skc7,skc8),skc9),k3_xboole_0(skc9,u1_struct_0(skc8))) ),
inference(rew,[status(thm),theory(equality)],[61,20839]),
[iquote('0:Rew:61.0,20839.2')] ).
cnf(20842,plain,
( ~ m1_subset_1(u1_struct_0(skc8),k1_zfmisc_1(u1_struct_0(skc7)))
| equal(k9_relat_1(k4_tsp_2(skc7,skc8),skc9),k3_xboole_0(skc9,u1_struct_0(skc8))) ),
inference(mrr,[status(thm)],[20841,28]),
[iquote('0:MRR:20841.0,28.0')] ).
cnf(96072,plain,
( ~ m1_pre_topc(skc8,skc7)
| equal(k9_relat_1(k4_tsp_2(skc7,skc8),skc9),k3_xboole_0(skc9,u1_struct_0(skc8))) ),
inference(res,[status(thm),theory(equality)],[314,20842]),
[iquote('0:Res:314.1,20842.0')] ).
cnf(96081,plain,
equal(k9_relat_1(k4_tsp_2(skc7,skc8),skc9),k3_xboole_0(skc9,u1_struct_0(skc8))),
inference(mrr,[status(thm)],[96072,542]),
[iquote('0:MRR:96072.0,542.0')] ).
cnf(96082,plain,
~ v3_pre_topc(k3_xboole_0(skc9,u1_struct_0(skc8)),skc8),
inference(rew,[status(thm),theory(equality)],[96081,14147]),
[iquote('0:Rew:96081.0,14147.0')] ).
cnf(96126,plain,
( ~ m1_tsp_1(skc8,skc7)
| ~ skP0(skc8,k3_xboole_0(skc9,u1_struct_0(skc8)),skc7)
| v3_pre_topc(k9_relat_1(k4_tsp_2(skc7,skc8),skc9),skc8) ),
inference(spl,[status(thm),theory(equality)],[96081,13073]),
[iquote('0:SpL:96081.0,13073.1')] ).
cnf(96169,plain,
( ~ m1_tsp_1(skc8,skc7)
| ~ skP0(skc8,k3_xboole_0(skc9,u1_struct_0(skc8)),skc7)
| v3_pre_topc(k3_xboole_0(skc9,u1_struct_0(skc8)),skc8) ),
inference(rew,[status(thm),theory(equality)],[96081,96126]),
[iquote('0:Rew:96081.0,96126.2')] ).
cnf(96170,plain,
~ m1_tsp_1(skc8,skc7),
inference(mrr,[status(thm)],[96169,3682,96082]),
[iquote('0:MRR:96169.1,96169.2,3682.0,96082.0')] ).
cnf(96219,plain,
( ~ l1_pre_topc(skc7)
| ~ m1_pre_topc(skc8,skc7) ),
inference(res,[status(thm),theory(equality)],[163,96170]),
[iquote('0:Res:163.2,96170.0')] ).
cnf(96221,plain,
~ m1_pre_topc(skc8,skc7),
inference(ssi,[status(thm)],[96219,1,2,353]),
[iquote('0:SSi:96219.0,1.0,2.0,353.0')] ).
cnf(96222,plain,
$false,
inference(mrr,[status(thm)],[96221,542]),
[iquote('0:MRR:96221.0,542.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : TOP041+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 09:26:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 107.57/107.77
% 107.57/107.77 SPASS V 3.9
% 107.57/107.77 SPASS beiseite: Proof found.
% 107.57/107.77 % SZS status Theorem
% 107.57/107.77 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 107.57/107.77 SPASS derived 80493 clauses, backtracked 10 clauses, performed 15 splits and kept 31896 clauses.
% 107.57/107.77 SPASS allocated 177739 KBytes.
% 107.57/107.77 SPASS spent 0:1:47.31 on the problem.
% 107.57/107.77 0:00:00.04 for the input.
% 107.57/107.77 0:00:00.06 for the FLOTTER CNF translation.
% 107.57/107.77 0:00:02.77 for inferences.
% 107.57/107.77 0:00:03.68 for the backtracking.
% 107.57/107.77 0:1:34.30 for the reduction.
% 107.57/107.77
% 107.57/107.77
% 107.57/107.77 Here is a proof with depth 7, length 93 :
% 107.57/107.77 % SZS output start Refutation
% See solution above
% 114.14/114.31 Formulae used in the proof : t34_tsp_2 dt_l1_pre_topc commutativity_k3_xboole_0 cc1_relset_1 dt_m1_tsp_1 dt_m2_tsp_1 redefinition_m2_relset_1 redefinition_m1_tsp_1 redefinition_m2_tsp_1 dt_m2_relset_1 cc1_pre_topc t1_tsep_1 cc2_tsp_2 redefinition_k5_subset_1 d1_tsp_1 existence_m1_subset_1 dt_k4_tsp_2 t58_tex_4 redefinition_k4_pre_topc dt_k4_pre_topc d12_tsp_2
% 114.14/114.31
%------------------------------------------------------------------------------