%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 : Wed Jul 20 21:45:26 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   4 unt;   7 nHn;  13 RR)
%            Number of literals    :   28 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    ~ equal(c_Com_Ocom_OSemi(u,v),c_Com_Ocom_OSKIP),
    file('SWV864-1.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ c_Natural_Oevalc(u,v,w)
    | ~ c_Natural_Oevalc(u,v,x)
    | equal(x,w) ),
    file('SWV864-1.p',unknown),
    [] ).

cnf(27,axiom,
    ~ c_Natural_Oevalc(v_c,v_x,v_xa),
    file('SWV864-1.p',unknown),
    [] ).

cnf(28,axiom,
    ( equal(u,v_xa)
    | c_Natural_Oevalc(v_c,v_x,v_xb(u)) ),
    file('SWV864-1.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ equal(v_xb(u),u)
    | equal(u,v_xa) ),
    file('SWV864-1.p',unknown),
    [] ).

cnf(77,plain,
    ( ~ c_Natural_Oevalc(v_c,v_x,u)
    | equal(v,v_xa)
    | equal(u,v_xb(v)) ),
    inference(res,[status(thm),theory(equality)],[28,15]),
    [iquote('0:Res:28.1,15.0')] ).

cnf(78,plain,
    ( equal(u,v_xa)
    | equal(v,v_xa)
    | equal(v_xb(u),v_xb(v)) ),
    inference(res,[status(thm),theory(equality)],[28,77]),
    [iquote('0:Res:28.1,77.0')] ).

cnf(85,plain,
    ( ~ equal(v_xb(u),v)
    | equal(v,v_xa)
    | equal(u,v_xa)
    | equal(v,v_xa) ),
    inference(spl,[status(thm),theory(equality)],[78,29]),
    [iquote('0:SpL:78.2,29.0')] ).

cnf(91,plain,
    ( ~ equal(v_xb(u),v)
    | equal(u,v_xa)
    | equal(v,v_xa) ),
    inference(obv,[status(thm),theory(equality)],[85]),
    [iquote('0:Obv:85.1')] ).

cnf(110,plain,
    ( equal(u,v_xa)
    | equal(v_xb(u),v_xa) ),
    inference(eqr,[status(thm),theory(equality)],[91]),
    [iquote('0:EqR:91.0')] ).

cnf(115,plain,
    ( equal(u,v_xa)
    | c_Natural_Oevalc(v_c,v_x,v_xa) ),
    inference(rew,[status(thm),theory(equality)],[110,28]),
    [iquote('0:Rew:110.1,28.1')] ).

cnf(118,plain,
    c_Natural_Oevalc(v_c,v_x,v_xa),
    inference(aed,[status(thm),theory(equality)],[12,115]),
    [iquote('0:AED:12.0,115.0')] ).

cnf(119,plain,
    $false,
    inference(mrr,[status(thm)],[118,27]),
    [iquote('0:MRR:118.0,27.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 10:29:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.41  
% 0.19/0.41  SPASS V 3.9 
% 0.19/0.41  SPASS beiseite: Proof found.
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.41  SPASS derived 64 clauses, backtracked 0 clauses, performed 0 splits and kept 53 clauses.
% 0.19/0.41  SPASS allocated 63178 KBytes.
% 0.19/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.41  		0:00:00.03 for the input.
% 0.19/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41  		0:00:00.00 for inferences.
% 0.19/0.41  		0:00:00.00 for the backtracking.
% 0.19/0.41  		0:00:00.00 for the reduction.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Here is a proof with depth 4, length 13 :
% 0.19/0.41  % SZS output start Refutation
% See solution above
% 0.19/0.41  Formulae used in the proof : cls_com_Osimps_I13_J_0 cls_com__det_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3
% 0.19/0.41  
%------------------------------------------------------------------------------