TSTP Solution File: SWC350-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC350-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n009.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 22:03:29 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   7 RR)
%            Number of literals    :    7 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    equal(sk4,sk2),
    file('SWC350-1.p',unknown),
    [] ).

cnf(6,axiom,
    equal(sk3,sk1),
    file('SWC350-1.p',unknown),
    [] ).

cnf(8,axiom,
    frontsegP(sk4,sk3),
    file('SWC350-1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ frontsegP(sk2,sk1),
    file('SWC350-1.p',unknown),
    [] ).

cnf(199,plain,
    frontsegP(sk4,sk1),
    inference(rew,[status(thm),theory(equality)],[6,8]),
    [iquote('0:Rew:6.0,8.0')] ).

cnf(201,plain,
    frontsegP(sk2,sk1),
    inference(rew,[status(thm),theory(equality)],[5,199]),
    [iquote('0:Rew:5.0,199.0')] ).

cnf(202,plain,
    $false,
    inference(mrr,[status(thm)],[11,201]),
    [iquote('0:MRR:11.0,201.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC350-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 15:43:53 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.41  
% 0.19/0.41  SPASS V 3.9 
% 0.19/0.41  SPASS beiseite: Proof found.
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.41  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 66 clauses.
% 0.19/0.41  SPASS allocated 75859 KBytes.
% 0.19/0.41  SPASS spent	0:00:00.07 on the problem.
% 0.19/0.41  		0:00:00.04 for the input.
% 0.19/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41  		0:00:00.00 for inferences.
% 0.19/0.41  		0:00:00.00 for the backtracking.
% 0.19/0.41  		0:00:00.00 for the reduction.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Here is a proof with depth 0, length 7 :
% 0.19/0.41  % SZS output start Refutation
% See solution above
% 0.19/0.41  Formulae used in the proof : co1_5 co1_6 co1_8 co1_11
% 0.19/0.41  
%------------------------------------------------------------------------------