TSTP Solution File: NUM594+3 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM594+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 : Mon Jul 18 14:27:53 EDT 2022

% Result   : Theorem 0.90s 1.17s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(29,axiom,
    equal(szDzozmdt0(xd),szNzAzT0),
    file('NUM594+3.p',unknown),
    [] ).

cnf(30,axiom,
    aElementOf0(skc94,szDzozmdt0(xd)),
    file('NUM594+3.p',unknown),
    [] ).

cnf(38,axiom,
    equal(sdtlpdtrp0(xd,skc94),xx),
    file('NUM594+3.p',unknown),
    [] ).

cnf(77,axiom,
    ( ~ aElementOf0(u,szNzAzT0)
    | ~ equal(sdtlpdtrp0(xd,u),xx) ),
    file('NUM594+3.p',unknown),
    [] ).

cnf(347,plain,
    aElementOf0(skc94,szNzAzT0),
    inference(rew,[status(thm),theory(equality)],[29,30]),
    [iquote('0:Rew:29.0,30.0')] ).

cnf(433,plain,
    ~ aElementOf0(skc94,szNzAzT0),
    inference(res,[status(thm),theory(equality)],[38,77]),
    [iquote('0:Res:38.0,77.1')] ).

cnf(434,plain,
    $false,
    inference(mrr,[status(thm)],[433,347]),
    [iquote('0:MRR:433.0,347.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM594+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jul  7 14:32:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.90/1.17  
% 0.90/1.17  SPASS V 3.9 
% 0.90/1.17  SPASS beiseite: Proof found.
% 0.90/1.17  % SZS status Theorem
% 0.90/1.17  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.90/1.17  SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 320 clauses.
% 0.90/1.17  SPASS allocated 104769 KBytes.
% 0.90/1.17  SPASS spent	0:00:00.81 on the problem.
% 0.90/1.17  		0:00:00.04 for the input.
% 0.90/1.17  		0:00:00.71 for the FLOTTER CNF translation.
% 0.90/1.17  		0:00:00.00 for inferences.
% 0.90/1.17  		0:00:00.00 for the backtracking.
% 0.90/1.17  		0:00:00.03 for the reduction.
% 0.90/1.17  
% 0.90/1.17  
% 0.90/1.17  Here is a proof with depth 1, length 7 :
% 0.90/1.17  % SZS output start Refutation
% See solution above
% 0.90/1.17  Formulae used in the proof : m__4730 m__4781 m__
% 0.90/1.17  
%------------------------------------------------------------------------------