TSTP Solution File: SWV781-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV781-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 21:45:08 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :    6 (   0 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(508,axiom,
    equal(c_Event_Oknows(u,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(u)),
    file('SWV781-1.p',unknown),
    [] ).

cnf(517,axiom,
    c_lessequals(u,u,tc_fun(v,tc_bool)),
    file('SWV781-1.p',unknown),
    [] ).

cnf(520,axiom,
    equal(c_List_OtakeWhile(u,c_List_Olist_ONil(v),v),c_List_Olist_ONil(v)),
    file('SWV781-1.p',unknown),
    [] ).

cnf(545,axiom,
    ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('SWV781-1.p',unknown),
    [] ).

cnf(562,plain,
    ~ c_lessequals(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_OinitState(c_Message_Oagent_OSpy),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(rew,[status(thm),theory(equality)],[508,545,520]),
    [iquote('0:Rew:508.0,545.0,520.0,545.0,508.0,545.0')] ).

cnf(563,plain,
    $false,
    inference(mrr,[status(thm)],[562,517]),
    [iquote('0:MRR:562.0,517.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV781-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 18:31:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.53  
% 0.19/0.53  SPASS V 3.9 
% 0.19/0.53  SPASS beiseite: Proof found.
% 0.19/0.53  % SZS status Theorem
% 0.19/0.53  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.53  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 252 clauses.
% 0.19/0.53  SPASS allocated 76546 KBytes.
% 0.19/0.53  SPASS spent	0:00:00.16 on the problem.
% 0.19/0.53  		0:00:00.05 for the input.
% 0.19/0.53  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.53  		0:00:00.00 for inferences.
% 0.19/0.53  		0:00:00.00 for the backtracking.
% 0.19/0.53  		0:00:00.04 for the reduction.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  Here is a proof with depth 0, length 6 :
% 0.19/0.53  % SZS output start Refutation
% See solution above
% 0.19/0.53  Formulae used in the proof : cls_knows__Nil_0 cls_equalityE_0 cls_takeWhile_Osimps_I1_J_0 cls_conjecture_0
% 0.19/0.53  
%------------------------------------------------------------------------------