TSTP Solution File: MGT059-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MGT059-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 : Sun Jul 17 22:26:29 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ organization(u)
    | ~ has_immunity(u,v)
    | equal(hazard_of_mortality(u,v),very_low) ),
    file('MGT059-1.p',unknown),
    [] ).

cnf(6,axiom,
    organization(sk1),
    file('MGT059-1.p',unknown),
    [] ).

cnf(7,axiom,
    has_immunity(sk1,sk2),
    file('MGT059-1.p',unknown),
    [] ).

cnf(8,axiom,
    has_immunity(sk1,sk3),
    file('MGT059-1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    file('MGT059-1.p',unknown),
    [] ).

cnf(26,plain,
    ( ~ organization(sk1)
    | equal(hazard_of_mortality(sk1,sk3),very_low) ),
    inference(res,[status(thm),theory(equality)],[8,1]),
    [iquote('0:Res:8.0,1.1')] ).

cnf(27,plain,
    ( ~ organization(sk1)
    | equal(hazard_of_mortality(sk1,sk2),very_low) ),
    inference(res,[status(thm),theory(equality)],[7,1]),
    [iquote('0:Res:7.0,1.1')] ).

cnf(34,plain,
    equal(hazard_of_mortality(sk1,sk3),very_low),
    inference(mrr,[status(thm)],[26,6]),
    [iquote('0:MRR:26.0,6.0')] ).

cnf(35,plain,
    ~ equal(hazard_of_mortality(sk1,sk2),very_low),
    inference(rew,[status(thm),theory(equality)],[34,9]),
    [iquote('0:Rew:34.0,9.0')] ).

cnf(36,plain,
    $false,
    inference(mrr,[status(thm)],[27,6,35]),
    [iquote('0:MRR:27.0,27.1,6.0,35.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT059-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n020.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 : Thu Jun  9 08:42:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.40  
% 0.19/0.40  SPASS V 3.9 
% 0.19/0.40  SPASS beiseite: Proof found.
% 0.19/0.40  % SZS status Theorem
% 0.19/0.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.40  SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 22 clauses.
% 0.19/0.40  SPASS allocated 75612 KBytes.
% 0.19/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.40  		0:00:00.03 for the input.
% 0.19/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40  		0:00:00.00 for inferences.
% 0.19/0.40  		0:00:00.00 for the backtracking.
% 0.19/0.40  		0:00:00.00 for the reduction.
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Here is a proof with depth 1, length 10 :
% 0.19/0.40  % SZS output start Refutation
% See solution above
% 0.19/0.40  Formulae used in the proof : assumption_17_32 assumption_2_37 assumption_2_38 assumption_2_39 assumption_2_40
% 0.19/0.40  
%------------------------------------------------------------------------------