TSTP Solution File: SWV889-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV889-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 21:45:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(601,axiom,
    ( ~ c_lessequals(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))
    | c_Hoare__Mirabelle_Ohoare__derivs(v,u,w) ),
    file('SWV889-1.p',unknown),
    [] ).

cnf(642,axiom,
    c_lessequals(v_ts,v_G,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
    file('SWV889-1.p',unknown),
    [] ).

cnf(643,axiom,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,tc_Com_Ostate),
    file('SWV889-1.p',unknown),
    [] ).

cnf(799,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,tc_Com_Ostate),
    inference(res,[status(thm),theory(equality)],[642,601]),
    [iquote('0:Res:642.0,601.0')] ).

cnf(901,plain,
    $false,
    inference(mrr,[status(thm)],[799,643]),
    [iquote('0:MRR:799.0,643.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV889-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n028.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 15 19:12:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.56  
% 0.19/0.56  SPASS V 3.9 
% 0.19/0.56  SPASS beiseite: Proof found.
% 0.19/0.56  % SZS status Theorem
% 0.19/0.56  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.56  SPASS derived 98 clauses, backtracked 0 clauses, performed 0 splits and kept 532 clauses.
% 0.19/0.56  SPASS allocated 76769 KBytes.
% 0.19/0.56  SPASS spent	0:00:00.21 on the problem.
% 0.19/0.56  		0:00:00.06 for the input.
% 0.19/0.56  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.56  		0:00:00.00 for inferences.
% 0.19/0.56  		0:00:00.00 for the backtracking.
% 0.19/0.56  		0:00:00.09 for the reduction.
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  Here is a proof with depth 1, length 5 :
% 0.19/0.56  % SZS output start Refutation
% See solution above
% 0.19/0.56  Formulae used in the proof : cls_asm_0 cls_conjecture_3 cls_conjecture_4
% 0.19/0.56  
%------------------------------------------------------------------------------