TSTP Solution File: SWV854-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n007.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 21:45:24 EDT 2022

% Result   : Unsatisfiable 0.38s 0.60s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  14 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(731,axiom,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(u,c_Hoare__Mirabelle_Otriple_Otriple(v,c_Option_Othe(c_Com_Obody(w),tc_Com_Ocom),x,y),y)
    | c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,u),c_Hoare__Mirabelle_Otriple_Otriple(v,c_Com_Ocom_OBODY(w),x,y),y) ),
    file('SWV854-1.p',unknown),
    [] ).

cnf(759,axiom,
    hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
    file('SWV854-1.p',unknown),
    [] ).

cnf(760,axiom,
    ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
    file('SWV854-1.p',unknown),
    [] ).

cnf(763,axiom,
    ( ~ hBOOL(c_in(u,v_Procs,tc_Com_Opname))
    | c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,u),c_Option_Othe(c_Com_Obody(u),tc_Com_Ocom),hAPP(v_Q,u),t_a),t_a) ),
    file('SWV854-1.p',unknown),
    [] ).

cnf(806,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
    inference(res,[status(thm),theory(equality)],[759,763]),
    [iquote('0:Res:759.0,763.0')] ).

cnf(810,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
    inference(res,[status(thm),theory(equality)],[731,760]),
    [iquote('0:Res:731.1,760.0')] ).

cnf(821,plain,
    $false,
    inference(mrr,[status(thm)],[810,806]),
    [iquote('0:MRR:810.0,806.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n007.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 05:02:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.38/0.60  
% 0.38/0.60  SPASS V 3.9 
% 0.38/0.60  SPASS beiseite: Proof found.
% 0.38/0.60  % SZS status Theorem
% 0.38/0.60  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.38/0.60  SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 590 clauses.
% 0.38/0.60  SPASS allocated 76951 KBytes.
% 0.38/0.60  SPASS spent	0:00:00.24 on the problem.
% 0.38/0.60  		0:00:00.06 for the input.
% 0.38/0.60  		0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.60  		0:00:00.00 for inferences.
% 0.38/0.60  		0:00:00.00 for the backtracking.
% 0.38/0.60  		0:00:00.12 for the reduction.
% 0.38/0.60  
% 0.38/0.60  
% 0.38/0.60  Here is a proof with depth 1, length 7 :
% 0.38/0.60  % SZS output start Refutation
% See solution above
% 0.38/0.60  Formulae used in the proof : cls_Body__triple__valid__Suc_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_4
% 0.38/0.60  
%------------------------------------------------------------------------------