↑ Up

SPASS---3.9.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CSR066+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 : Fri Jul 15 23:24:56 EDT 2022

% Result   : Theorem 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   6 unt;   0 nHn;  14 RR)
%            Number of literals    :   24 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    file('CSR066+1.p',unknown),
    [] ).

cnf(12,axiom,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    file('CSR066+1.p',unknown),
    [] ).

cnf(31,axiom,
    ( ~ shavingrazor_manual(u)
    | isa(u,c_shavingrazor_manual) ),
    file('CSR066+1.p',unknown),
    [] ).

cnf(32,axiom,
    ( ~ isa(u,c_tptpcol_16_25972)
    | tptpcol_16_25972(u) ),
    file('CSR066+1.p',unknown),
    [] ).

cnf(53,axiom,
    ( ~ tptpcol_16_25972(u)
    | ~ tptp_8_271(u,c_theprototypicalshavingrazor_manual) ),
    file('CSR066+1.p',unknown),
    [] ).

cnf(65,axiom,
    ( ~ shavingrazor_manual(u)
    | tptp_8_271(f_relationexistsallfn(u,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),u) ),
    file('CSR066+1.p',unknown),
    [] ).

cnf(75,axiom,
    ( ~ isa(u,v)
    | ~ relationexistsall(w,x,v)
    | isa(f_relationexistsallfn(u,w,x,v),x) ),
    file('CSR066+1.p',unknown),
    [] ).

cnf(129,plain,
    ( ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
    | ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)) ),
    inference(res,[status(thm),theory(equality)],[65,53]),
    [iquote('0:Res:65.1,53.1')] ).

cnf(130,plain,
    ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)),
    inference(ssi,[status(thm)],[129,2]),
    [iquote('0:SSi:129.0,2.0')] ).

cnf(196,plain,
    ( ~ isa(u,v)
    | ~ relationexistsall(w,c_tptpcol_16_25972,v)
    | tptpcol_16_25972(f_relationexistsallfn(u,w,c_tptpcol_16_25972,v)) ),
    inference(res,[status(thm),theory(equality)],[75,32]),
    [iquote('0:Res:75.2,32.0')] ).

cnf(200,plain,
    ( ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
    | ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) ),
    inference(sor,[status(thm)],[130,196]),
    [iquote('0:SoR:130.0,196.2')] ).

cnf(201,plain,
    ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
    inference(mrr,[status(thm)],[200,12]),
    [iquote('0:MRR:200.0,12.0')] ).

cnf(202,plain,
    ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(res,[status(thm),theory(equality)],[31,201]),
    [iquote('0:Res:31.1,201.0')] ).

cnf(203,plain,
    $false,
    inference(ssi,[status(thm)],[202,2]),
    [iquote('0:SSi:202.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR066+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n025.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 : Fri Jun 10 01:41:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  
% 0.18/0.44  SPASS V 3.9 
% 0.18/0.44  SPASS beiseite: Proof found.
% 0.18/0.44  % SZS status Theorem
% 0.18/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.44  SPASS derived 90 clauses, backtracked 0 clauses, performed 0 splits and kept 102 clauses.
% 0.18/0.44  SPASS allocated 97762 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.44  		0:00:00.04 for the input.
% 0.18/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44  		0:00:00.00 for inferences.
% 0.18/0.44  		0:00:00.00 for the backtracking.
% 0.18/0.44  		0:00:00.00 for the reduction.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  Here is a proof with depth 3, length 14 :
% 0.18/0.44  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : just11 just10 just31 just32 query66 just9 just4
% 0.18/0.44  
%------------------------------------------------------------------------------