TSTP Solution File: SEU040+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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 14:33:41 EDT 2022

% Result   : Theorem 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    relation(skc11),
    file('SEU040+1.p',unknown),
    [] ).

cnf(53,axiom,
    ( ~ relation(u)
    | subset(relation_dom(relation_dom_restriction(u,v)),relation_dom(u)) ),
    file('SEU040+1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ relation(u)
    | subset(relation_rng(relation_dom_restriction(u,v)),relation_rng(u)) ),
    file('SEU040+1.p',unknown),
    [] ).

cnf(58,axiom,
    ( ~ subset(relation_dom(relation_dom_restriction(skc11,skc12)),relation_dom(skc11))
    | ~ subset(relation_rng(relation_dom_restriction(skc11,skc13)),relation_rng(skc11)) ),
    file('SEU040+1.p',unknown),
    [] ).

cnf(62,plain,
    subset(relation_dom(relation_dom_restriction(skc11,u)),relation_dom(skc11)),
    inference(res,[status(thm),theory(equality)],[2,53]),
    [iquote('0:Res:2.0,53.0')] ).

cnf(63,plain,
    subset(relation_rng(relation_dom_restriction(skc11,u)),relation_rng(skc11)),
    inference(res,[status(thm),theory(equality)],[2,54]),
    [iquote('0:Res:2.0,54.0')] ).

cnf(69,plain,
    ~ subset(relation_rng(relation_dom_restriction(skc11,skc13)),relation_rng(skc11)),
    inference(mrr,[status(thm)],[58,62]),
    [iquote('0:MRR:58.0,62.0')] ).

cnf(70,plain,
    $false,
    inference(mrr,[status(thm)],[69,63]),
    [iquote('0:MRR:69.0,63.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Sat Jun 18 21:21:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  
% 0.19/0.45  SPASS V 3.9 
% 0.19/0.45  SPASS beiseite: Proof found.
% 0.19/0.45  % SZS status Theorem
% 0.19/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.45  SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 61 clauses.
% 0.19/0.45  SPASS allocated 97716 KBytes.
% 0.19/0.45  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.45  		0:00:00.04 for the input.
% 0.19/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45  		0:00:00.00 for inferences.
% 0.19/0.45  		0:00:00.00 for the backtracking.
% 0.19/0.45  		0:00:00.00 for the reduction.
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Here is a proof with depth 1, length 8 :
% 0.19/0.45  % SZS output start Refutation
% See solution above
% 0.19/0.45  Formulae used in the proof : t76_funct_1 t89_relat_1 t99_relat_1
% 0.19/0.45  
%------------------------------------------------------------------------------