%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : ALG174+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 : Thu Jul 14 18:02:48 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   8 RR)
%            Number of literals    :    8 (   0 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    equal(op(e3,e3),e2),
    file('ALG174+1.p',unknown),
    [] ).

cnf(30,axiom,
    equal(op(op(e3,e3),e3),e3),
    file('ALG174+1.p',unknown),
    [] ).

cnf(135,axiom,
    ~ equal(op(e2,e3),op(e2,e2)),
    file('ALG174+1.p',unknown),
    [] ).

cnf(176,axiom,
    equal(op(op(e3,e3),op(e3,e3)),e3),
    file('ALG174+1.p',unknown),
    [] ).

cnf(266,plain,
    equal(op(e2,e3),e3),
    inference(rew,[status(thm),theory(equality)],[11,30]),
    [iquote('0:Rew:11.0,30.0')] ).

cnf(282,plain,
    ~ equal(op(e2,e2),e3),
    inference(rew,[status(thm),theory(equality)],[266,135]),
    [iquote('0:Rew:266.0,135.0')] ).

cnf(327,plain,
    equal(op(e2,e2),e3),
    inference(rew,[status(thm),theory(equality)],[11,176]),
    [iquote('0:Rew:11.0,176.0')] ).

cnf(328,plain,
    $false,
    inference(mrr,[status(thm)],[327,282]),
    [iquote('0:MRR:327.0,282.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ALG174+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n023.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 : Wed Jun  8 02:34:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 19 clauses, backtracked 0 clauses, performed 0 splits and kept 160 clauses.
% 0.18/0.45  SPASS allocated 85758 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.00 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 0, length 8 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : ax6 co1 ax4 ax3
% 0.18/0.45  
%------------------------------------------------------------------------------