%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n005.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 : Fri Jul 15 01:44:18 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   6 unt;   2 nHn;  12 RR)
%            Number of literals    :   20 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    aElement0(xb),
    file('COM016+4.p',unknown),
    [] ).

cnf(8,axiom,
    aElement0(skc9),
    file('COM016+4.p',unknown),
    [] ).

cnf(32,axiom,
    ( aReductOfIn0(skc9,xa,xR)
    | aReductOfIn0(xb,xa,xR) ),
    file('COM016+4.p',unknown),
    [] ).

cnf(33,axiom,
    ( sdtmndtplgtdt0(skc9,xR,xb)
    | aReductOfIn0(xb,xa,xR) ),
    file('COM016+4.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ aElement0(u)
    | ~ equal(u,xb)
    | ~ aReductOfIn0(u,xa,xR) ),
    file('COM016+4.p',unknown),
    [] ).

cnf(44,axiom,
    ( ~ aElement0(u)
    | ~ aReductOfIn0(u,xa,xR)
    | ~ sdtmndtplgtdt0(u,xR,xb) ),
    file('COM016+4.p',unknown),
    [] ).

cnf(97,plain,
    ( ~ equal(xb,xb)
    | ~ aReductOfIn0(xb,xa,xR) ),
    inference(res,[status(thm),theory(equality)],[5,42]),
    [iquote('0:Res:5.0,42.0')] ).

cnf(138,plain,
    ( ~ sdtmndtplgtdt0(skc9,xR,xb)
    | ~ aReductOfIn0(skc9,xa,xR) ),
    inference(res,[status(thm),theory(equality)],[8,44]),
    [iquote('0:Res:8.0,44.0')] ).

cnf(184,plain,
    ~ aReductOfIn0(xb,xa,xR),
    inference(obv,[status(thm),theory(equality)],[97]),
    [iquote('0:Obv:97.0')] ).

cnf(185,plain,
    sdtmndtplgtdt0(skc9,xR,xb),
    inference(mrr,[status(thm)],[33,184]),
    [iquote('0:MRR:33.1,184.0')] ).

cnf(186,plain,
    aReductOfIn0(skc9,xa,xR),
    inference(mrr,[status(thm)],[32,184]),
    [iquote('0:MRR:32.1,184.0')] ).

cnf(189,plain,
    $false,
    inference(mrr,[status(thm)],[138,185,186]),
    [iquote('0:MRR:138.0,138.1,185.0,186.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n005.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 16 17:29:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.49  
% 0.19/0.49  SPASS V 3.9 
% 0.19/0.49  SPASS beiseite: Proof found.
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.49  SPASS derived 92 clauses, backtracked 0 clauses, performed 0 splits and kept 101 clauses.
% 0.19/0.49  SPASS allocated 98339 KBytes.
% 0.19/0.49  SPASS spent	0:00:00.15 on the problem.
% 0.19/0.49  		0:00:00.03 for the input.
% 0.19/0.49  		0:00:00.09 for the FLOTTER CNF translation.
% 0.19/0.49  		0:00:00.00 for inferences.
% 0.19/0.49  		0:00:00.00 for the backtracking.
% 0.19/0.49  		0:00:00.01 for the reduction.
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  Here is a proof with depth 1, length 12 :
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  Formulae used in the proof : m__731 m__731_02 m__
% 0.19/0.49  
%------------------------------------------------------------------------------