%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : FLD030-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 : Sat Jul 16 02:28:23 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   18 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    defined(c),
    file('FLD030-4.p',unknown),
    [] ).

cnf(5,axiom,
    product(a,b,c),
    file('FLD030-4.p',unknown),
    [] ).

cnf(6,axiom,
    product(multiplicative_identity,a,d),
    file('FLD030-4.p',unknown),
    [] ).

cnf(7,axiom,
    ~ product(d,b,c),
    file('FLD030-4.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ product(u,v,w)
    | ~ product(x,y,v)
    | ~ product(u,x,z)
    | product(z,y,w) ),
    file('FLD030-4.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ defined(u)
    | product(multiplicative_identity,u,u) ),
    file('FLD030-4.p',unknown),
    [] ).

cnf(36,plain,
    ( ~ product(multiplicative_identity,u,v)
    | ~ product(a,w,u)
    | product(d,w,v) ),
    inference(res,[status(thm),theory(equality)],[6,14]),
    [iquote('0:Res:6.0,14.0')] ).

cnf(78,plain,
    ( ~ product(multiplicative_identity,c,u)
    | product(d,b,u) ),
    inference(res,[status(thm),theory(equality)],[5,36]),
    [iquote('0:Res:5.0,36.0')] ).

cnf(93,plain,
    ~ product(multiplicative_identity,c,c),
    inference(res,[status(thm),theory(equality)],[78,7]),
    [iquote('0:Res:78.1,7.0')] ).

cnf(94,plain,
    ~ defined(c),
    inference(res,[status(thm),theory(equality)],[15,93]),
    [iquote('0:Res:15.1,93.0')] ).

cnf(95,plain,
    $false,
    inference(ssi,[status(thm)],[94,3]),
    [iquote('0:SSi:94.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD030-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n026.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 : Mon Jun  6 20:20:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.42  
% 0.19/0.42  SPASS V 3.9 
% 0.19/0.42  SPASS beiseite: Proof found.
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.42  SPASS derived 51 clauses, backtracked 0 clauses, performed 0 splits and kept 77 clauses.
% 0.19/0.42  SPASS allocated 75686 KBytes.
% 0.19/0.42  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.42  		0:00:00.04 for the input.
% 0.19/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42  		0:00:00.00 for inferences.
% 0.19/0.42  		0:00:00.00 for the backtracking.
% 0.19/0.42  		0:00:00.00 for the reduction.
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  Here is a proof with depth 4, length 11 :
% 0.19/0.42  % SZS output start Refutation
% See solution above
% 0.19/0.42  Formulae used in the proof : c_is_defined product_5 product_6 not_product_7 associativity_multiplication_2 existence_of_identity_multiplication
% 0.19/0.42  
%------------------------------------------------------------------------------