TSTP Solution File: SYO578+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 19:54:47 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    k04_buttercup10100(skc59),
    file('SYO578+1.p',unknown),
    [] ).

cnf(26,axiom,
    b48_buttercup10098(skc92),
    file('SYO578+1.p',unknown),
    [] ).

cnf(62,axiom,
    ~ k04_buttercup10100(skc92),
    file('SYO578+1.p',unknown),
    [] ).

cnf(109,axiom,
    ( ~ k04_buttercup10100(u)
    | b48_buttercup10098(u) ),
    file('SYO578+1.p',unknown),
    [] ).

cnf(170,axiom,
    ( ~ b48_buttercup10098(u)
    | ~ b48_buttercup10098(skc59)
    | k04_buttercup10100(u) ),
    file('SYO578+1.p',unknown),
    [] ).

cnf(202,plain,
    b48_buttercup10098(skc59),
    inference(res,[status(thm),theory(equality)],[2,109]),
    [iquote('0:Res:2.0,109.0')] ).

cnf(226,plain,
    ( ~ b48_buttercup10098(skc59)
    | k04_buttercup10100(skc92) ),
    inference(res,[status(thm),theory(equality)],[26,170]),
    [iquote('0:Res:26.0,170.0')] ).

cnf(239,plain,
    $false,
    inference(mrr,[status(thm)],[226,202,62]),
    [iquote('0:MRR:226.0,226.1,202.0,62.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n013.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 06:33:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.48  
% 0.18/0.48  SPASS V 3.9 
% 0.18/0.48  SPASS beiseite: Proof found.
% 0.18/0.48  % SZS status Theorem
% 0.18/0.48  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.48  SPASS derived 50 clauses, backtracked 0 clauses, performed 0 splits and kept 167 clauses.
% 0.18/0.48  SPASS allocated 97946 KBytes.
% 0.18/0.48  SPASS spent	0:00:00.13 on the problem.
% 0.18/0.48  		0:00:00.04 for the input.
% 0.18/0.48  		0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.48  		0:00:00.00 for inferences.
% 0.18/0.48  		0:00:00.00 for the backtracking.
% 0.18/0.48  		0:00:00.01 for the reduction.
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Here is a proof with depth 1, length 8 :
% 0.18/0.48  % SZS output start Refutation
% See solution above
% 0.18/0.48  Formulae used in the proof : goals_86 sos_30 sos_26 sos_21
% 0.18/0.48  
%------------------------------------------------------------------------------