%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV861-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Wed Jul 20 21:45:25 EDT 2022

% Result   : Unsatisfiable 0.50s 0.70s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   17 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(600,axiom,
    hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
    file('SWV861-1.p',unknown),
    [] ).

cnf(601,axiom,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    file('SWV861-1.p',unknown),
    [] ).

cnf(602,axiom,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    file('SWV861-1.p',unknown),
    [] ).

cnf(603,axiom,
    ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
    file('SWV861-1.p',unknown),
    [] ).

cnf(605,axiom,
    ( ~ hBOOL(hAPP(hAPP(v_P,u),v))
    | ~ c_Natural_Oevaln(v_c,v,v_n,w)
    | hBOOL(hAPP(hAPP(v_Q,u),w)) ),
    file('SWV861-1.p',unknown),
    [] ).

cnf(606,axiom,
    ( ~ hBOOL(hAPP(hAPP(v_Q,u),v))
    | ~ c_Natural_Oevaln(v_d,v,v_n,w)
    | hBOOL(hAPP(hAPP(v_R,u),w)) ),
    file('SWV861-1.p',unknown),
    [] ).

cnf(713,plain,
    ( ~ c_Natural_Oevaln(v_c,v_s,v_n,u)
    | hBOOL(hAPP(hAPP(v_Q,v_Z),u)) ),
    inference(res,[status(thm),theory(equality)],[600,605]),
    [iquote('0:Res:600.0,605.1')] ).

cnf(765,plain,
    ( ~ hBOOL(hAPP(hAPP(v_Q,v_Z),u))
    | ~ c_Natural_Oevaln(v_d,u,v_n,v_s_H) ),
    inference(res,[status(thm),theory(equality)],[606,603]),
    [iquote('0:Res:606.2,603.0')] ).

cnf(797,plain,
    hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)),
    inference(res,[status(thm),theory(equality)],[601,713]),
    [iquote('0:Res:601.0,713.0')] ).

cnf(812,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)),
    inference(res,[status(thm),theory(equality)],[602,765]),
    [iquote('0:Res:602.0,765.0')] ).

cnf(841,plain,
    $false,
    inference(mrr,[status(thm)],[812,797]),
    [iquote('0:MRR:812.0,797.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV861-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n017.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 17:49:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.50/0.70  
% 0.50/0.70  SPASS V 3.9 
% 0.50/0.70  SPASS beiseite: Proof found.
% 0.50/0.70  % SZS status Theorem
% 0.50/0.70  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.50/0.70  SPASS derived 148 clauses, backtracked 0 clauses, performed 0 splits and kept 591 clauses.
% 0.50/0.70  SPASS allocated 77062 KBytes.
% 0.50/0.70  SPASS spent	0:00:00.32 on the problem.
% 0.50/0.70  		0:00:00.06 for the input.
% 0.50/0.70  		0:00:00.00 for the FLOTTER CNF translation.
% 0.50/0.70  		0:00:00.00 for inferences.
% 0.50/0.70  		0:00:00.00 for the backtracking.
% 0.50/0.70  		0:00:00.14 for the reduction.
% 0.50/0.70  
% 0.50/0.70  
% 0.50/0.70  Here is a proof with depth 2, length 11 :
% 0.50/0.70  % SZS output start Refutation
% See solution above
% 0.50/0.70  Formulae used in the proof : cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_5 cls_conjecture_6
% 0.50/0.70  
%------------------------------------------------------------------------------