%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : RNG116+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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 20:41:31 EDT 2022

% Result   : Theorem 1.19s 1.40s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;  12 RR)
%            Number of literals    :   18 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(14,axiom,
    aElement0(skc61),
    file('RNG116+4.p',unknown),
    [] ).

cnf(15,axiom,
    aElement0(skc60),
    file('RNG116+4.p',unknown),
    [] ).

cnf(59,axiom,
    equal(sdtasdt0(xa,skc60),xk),
    file('RNG116+4.p',unknown),
    [] ).

cnf(60,axiom,
    equal(sdtasdt0(xb,skc61),xl),
    file('RNG116+4.p',unknown),
    [] ).

cnf(61,axiom,
    equal(sdtpldt0(xk,xl),xu),
    file('RNG116+4.p',unknown),
    [] ).

cnf(129,axiom,
    ( ~ aElement0(u)
    | ~ aElement0(v)
    | ~ equal(sdtpldt0(sdtasdt0(xa,v),sdtasdt0(xb,u)),xu) ),
    file('RNG116+4.p',unknown),
    [] ).

cnf(169,plain,
    ( ~ aElement0(u)
    | ~ equal(sdtpldt0(sdtasdt0(xa,skc60),sdtasdt0(xb,u)),xu) ),
    inference(res,[status(thm),theory(equality)],[15,129]),
    [iquote('0:Res:15.0,129.0')] ).

cnf(219,plain,
    ( ~ aElement0(u)
    | ~ equal(sdtpldt0(xk,sdtasdt0(xb,u)),xu) ),
    inference(rew,[status(thm),theory(equality)],[59,169]),
    [iquote('0:Rew:59.0,169.1')] ).

cnf(4980,plain,
    ( ~ aElement0(skc61)
    | ~ equal(sdtpldt0(xk,xl),xu) ),
    inference(spl,[status(thm),theory(equality)],[60,219]),
    [iquote('0:SpL:60.0,219.1')] ).

cnf(4990,plain,
    ( ~ aElement0(skc61)
    | ~ equal(xu,xu) ),
    inference(rew,[status(thm),theory(equality)],[61,4980]),
    [iquote('0:Rew:61.0,4980.1')] ).

cnf(4991,plain,
    ~ aElement0(skc61),
    inference(obv,[status(thm),theory(equality)],[4990]),
    [iquote('0:Obv:4990.1')] ).

cnf(4992,plain,
    $false,
    inference(ssi,[status(thm)],[4991,14]),
    [iquote('0:SSi:4991.0,14.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG116+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n017.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 May 30 12:50:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.19/1.40  
% 1.19/1.40  SPASS V 3.9 
% 1.19/1.40  SPASS beiseite: Proof found.
% 1.19/1.40  % SZS status Theorem
% 1.19/1.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.19/1.40  SPASS derived 3446 clauses, backtracked 440 clauses, performed 4 splits and kept 1881 clauses.
% 1.19/1.40  SPASS allocated 101703 KBytes.
% 1.19/1.40  SPASS spent	0:00:00.99 on the problem.
% 1.19/1.40  		0:00:00.04 for the input.
% 1.19/1.40  		0:00:00.21 for the FLOTTER CNF translation.
% 1.19/1.40  		0:00:00.04 for inferences.
% 1.19/1.40  		0:00:00.01 for the backtracking.
% 1.19/1.40  		0:00:00.64 for the reduction.
% 1.19/1.40  
% 1.19/1.40  
% 1.19/1.40  Here is a proof with depth 2, length 12 :
% 1.19/1.40  % SZS output start Refutation
% See solution above
% 1.19/1.40  Formulae used in the proof : m__2456 m__
% 1.19/1.40  
%------------------------------------------------------------------------------