TSTP Solution File: TOP034+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% 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  
%------------------------------------------------------------------------------