%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV860-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 21:45:25 EDT 2022

% Result   : Unsatisfiable 0.39s 0.56s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(484,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,u,v,w)
    | equal(w,u) ),
    file('SWV860-1.p',unknown),
    [] ).

cnf(516,axiom,
    hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    file('SWV860-1.p',unknown),
    [] ).

cnf(517,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
    file('SWV860-1.p',unknown),
    [] ).

cnf(518,axiom,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
    file('SWV860-1.p',unknown),
    [] ).

cnf(569,plain,
    equal(v_xb,v_xa),
    inference(res,[status(thm),theory(equality)],[517,484]),
    [iquote('0:Res:517.0,484.0')] ).

cnf(648,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    inference(rew,[status(thm),theory(equality)],[569,518]),
    [iquote('0:Rew:569.0,518.0')] ).

cnf(651,plain,
    $false,
    inference(mrr,[status(thm)],[648,516]),
    [iquote('0:MRR:648.0,516.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV860-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n011.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 : Thu Jun 16 00:49:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.39/0.56  
% 0.39/0.56  SPASS V 3.9 
% 0.39/0.56  SPASS beiseite: Proof found.
% 0.39/0.56  % SZS status Theorem
% 0.39/0.56  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.39/0.56  SPASS derived 74 clauses, backtracked 0 clauses, performed 0 splits and kept 437 clauses.
% 0.39/0.56  SPASS allocated 76774 KBytes.
% 0.39/0.56  SPASS spent	0:00:00.19 on the problem.
% 0.39/0.56  		0:00:00.05 for the input.
% 0.39/0.56  		0:00:00.00 for the FLOTTER CNF translation.
% 0.39/0.56  		0:00:00.00 for inferences.
% 0.39/0.56  		0:00:00.00 for the backtracking.
% 0.39/0.56  		0:00:00.09 for the reduction.
% 0.39/0.56  
% 0.39/0.56  
% 0.39/0.56  Here is a proof with depth 1, length 7 :
% 0.39/0.56  % SZS output start Refutation
% See solution above
% 0.39/0.56  Formulae used in the proof : cls_evaln__elim__cases_I1_J_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 0.39/0.56  
%------------------------------------------------------------------------------