↑ Up

SPASS---3.9.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU373+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n010.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 : Tue Jul 19 14:36:43 EDT 2022

% Result   : Theorem 0.23s 0.46s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (   7 unt;   0 nHn;  17 RR)
%            Number of literals    :   40 (   0 equ;  26 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    one_sorted_str(skc13),
    file('SEU373+1.p',unknown),
    [] ).

cnf(28,axiom,
    net_str(skc14,skc13),
    file('SEU373+1.p',unknown),
    [] ).

cnf(32,axiom,
    subnetstr(skc15,skc13,skc14),
    file('SEU373+1.p',unknown),
    [] ).

cnf(40,axiom,
    ~ subset(the_carrier(skc15),the_carrier(skc14)),
    file('SEU373+1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ one_sorted_str(u)
    | ~ net_str(v,u)
    | rel_str(v) ),
    file('SEU373+1.p',unknown),
    [] ).

cnf(55,axiom,
    ( ~ rel_str(u)
    | ~ subrelstr(v,u)
    | rel_str(v) ),
    file('SEU373+1.p',unknown),
    [] ).

cnf(74,axiom,
    ( ~ rel_str(u)
    | ~ rel_str(v)
    | ~ subrelstr(v,u)
    | subset(the_carrier(v),the_carrier(u)) ),
    file('SEU373+1.p',unknown),
    [] ).

cnf(76,axiom,
    ( ~ one_sorted_str(u)
    | ~ net_str(v,u)
    | ~ subnetstr(w,u,v)
    | net_str(w,u) ),
    file('SEU373+1.p',unknown),
    [] ).

cnf(79,axiom,
    ( ~ one_sorted_str(u)
    | ~ subnetstr(v,u,w)
    | ~ net_str(w,u)
    | ~ net_str(v,u)
    | subrelstr(v,w) ),
    file('SEU373+1.p',unknown),
    [] ).

cnf(86,plain,
    ( ~ rel_str(u)
    | ~ subrelstr(v,u)
    | subset(the_carrier(v),the_carrier(u)) ),
    inference(mrr,[status(thm)],[74,55]),
    [iquote('0:MRR:74.1,55.2')] ).

cnf(87,plain,
    ( ~ one_sorted_str(u)
    | ~ net_str(v,u)
    | ~ subnetstr(w,u,v)
    | subrelstr(w,v) ),
    inference(mrr,[status(thm)],[79,76]),
    [iquote('0:MRR:79.3,76.3')] ).

cnf(104,plain,
    ( ~ one_sorted_str(skc13)
    | rel_str(skc14) ),
    inference(res,[status(thm),theory(equality)],[28,54]),
    [iquote('0:Res:28.0,54.1')] ).

cnf(110,plain,
    ( ~ one_sorted_str(skc13)
    | ~ net_str(skc14,skc13)
    | subrelstr(skc15,skc14) ),
    inference(res,[status(thm),theory(equality)],[32,87]),
    [iquote('0:Res:32.0,87.1')] ).

cnf(113,plain,
    ( ~ rel_str(skc14)
    | ~ subrelstr(skc15,skc14) ),
    inference(res,[status(thm),theory(equality)],[86,40]),
    [iquote('0:Res:86.2,40.0')] ).

cnf(114,plain,
    rel_str(skc14),
    inference(mrr,[status(thm)],[104,1]),
    [iquote('0:MRR:104.0,1.0')] ).

cnf(116,plain,
    ~ subrelstr(skc15,skc14),
    inference(mrr,[status(thm)],[113,114]),
    [iquote('0:MRR:113.0,114.0')] ).

cnf(118,plain,
    $false,
    inference(mrr,[status(thm)],[110,1,28,116]),
    [iquote('0:MRR:110.0,110.1,110.2,1.0,28.0,116.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SEU373+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.15  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun 20 01:56:37 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.23/0.46  
% 0.23/0.46  SPASS V 3.9 
% 0.23/0.46  SPASS beiseite: Proof found.
% 0.23/0.46  % SZS status Theorem
% 0.23/0.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.23/0.46  SPASS derived 25 clauses, backtracked 0 clauses, performed 0 splits and kept 88 clauses.
% 0.23/0.46  SPASS allocated 97794 KBytes.
% 0.23/0.46  SPASS spent	0:00:00.09 on the problem.
% 0.23/0.46  		0:00:00.03 for the input.
% 0.23/0.46  		0:00:00.03 for the FLOTTER CNF translation.
% 0.23/0.46  		0:00:00.00 for inferences.
% 0.23/0.46  		0:00:00.00 for the backtracking.
% 0.23/0.46  		0:00:00.00 for the reduction.
% 0.23/0.46  
% 0.23/0.46  
% 0.23/0.46  Here is a proof with depth 1, length 17 :
% 0.23/0.46  % SZS output start Refutation
% See solution above
% 0.23/0.46  Formulae used in the proof : t19_yellow_6 dt_l1_waybel_0 dt_m1_yellow_0 d13_yellow_0 dt_m1_yellow_6 d8_yellow_6
% 0.23/0.46  
%------------------------------------------------------------------------------