TSTP Solution File: MSC001-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MSC001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 : Sun Jul 17 22:59:27 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   25 (   8 unt;   4 nHn;  25 RR)
%            Number of literals    :   49 (   0 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ~ hold(thing(u),do(let_go,v)),
    file('MSC001-1.p',unknown),
    [] ).

cnf(4,axiom,
    at(hand,u,do(go(u),v)),
    file('MSC001-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ at(thing(u),v,do(go(v),w))
    | hold(thing(u),w)
    | at(thing(u),v,w) ),
    file('MSC001-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ at(hand,u,v)
    | ~ at(thing(w),u,v)
    | hold(thing(taken(v)),do(pick_up,v)) ),
    file('MSC001-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ hold(thing(u),v)
    | ~ at(hand,w,v)
    | at(thing(u),w,v) ),
    file('MSC001-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ red(u)
    | ~ at(u,there,v)
    | answer(v) ),
    file('MSC001-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ hold(thing(u),v)
    | hold(thing(u),do(go(w),v)) ),
    file('MSC001-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ at(hand,u,v)
    | at(thing(taken(v)),u,v) ),
    file('MSC001-1.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ at(u,v,do(let_go,w))
    | at(u,v,w) ),
    file('MSC001-1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ at(u,here,now)
    | red(u) ),
    file('MSC001-1.p',unknown),
    [] ).

cnf(18,axiom,
    ~ answer(u),
    file('MSC001-1.p',unknown),
    [] ).

cnf(19,plain,
    ( ~ red(u)
    | ~ at(u,there,v) ),
    inference(mrr,[status(thm)],[10,18]),
    [iquote('0:MRR:10.2,18.0')] ).

cnf(59,plain,
    ( ~ red(thing(u))
    | ~ hold(thing(u),v)
    | ~ at(hand,there,v) ),
    inference(res,[status(thm),theory(equality)],[8,19]),
    [iquote('0:Res:8.2,19.1')] ).

cnf(77,plain,
    ( ~ at(hand,u,v)
    | ~ at(hand,u,v)
    | hold(thing(taken(v)),do(pick_up,v)) ),
    inference(res,[status(thm),theory(equality)],[13,7]),
    [iquote('0:Res:13.1,7.1')] ).

cnf(83,plain,
    ( ~ at(hand,u,v)
    | hold(thing(taken(v)),do(pick_up,v)) ),
    inference(obv,[status(thm),theory(equality)],[77]),
    [iquote('0:Obv:77.0')] ).

cnf(85,plain,
    hold(thing(taken(do(go(u),v))),do(pick_up,do(go(u),v))),
    inference(res,[status(thm),theory(equality)],[4,83]),
    [iquote('0:Res:4.0,83.0')] ).

cnf(97,plain,
    ( ~ at(hand,u,do(go(u),v))
    | hold(thing(taken(do(go(u),v))),v)
    | at(thing(taken(do(go(u),v))),u,v) ),
    inference(res,[status(thm),theory(equality)],[13,6]),
    [iquote('0:Res:13.1,6.0')] ).

cnf(102,plain,
    ( hold(thing(taken(do(go(u),v))),v)
    | at(thing(taken(do(go(u),v))),u,v) ),
    inference(mrr,[status(thm)],[97,4]),
    [iquote('0:MRR:97.0,4.0')] ).

cnf(134,plain,
    ( hold(thing(taken(do(go(u),do(let_go,v)))),do(let_go,v))
    | at(thing(taken(do(go(u),do(let_go,v)))),u,v) ),
    inference(res,[status(thm),theory(equality)],[102,16]),
    [iquote('0:Res:102.1,16.0')] ).

cnf(136,plain,
    at(thing(taken(do(go(u),do(let_go,v)))),u,v),
    inference(mrr,[status(thm)],[134,2]),
    [iquote('0:MRR:134.0,2.0')] ).

cnf(139,plain,
    red(thing(taken(do(go(here),do(let_go,now))))),
    inference(res,[status(thm),theory(equality)],[136,17]),
    [iquote('0:Res:136.0,17.0')] ).

cnf(151,plain,
    ( ~ hold(thing(taken(do(go(here),do(let_go,now)))),u)
    | ~ at(hand,there,u) ),
    inference(sor,[status(thm)],[59,139]),
    [iquote('0:SoR:59.0,139.0')] ).

cnf(227,plain,
    ( ~ hold(thing(taken(do(go(here),do(let_go,now)))),u)
    | ~ at(hand,there,do(go(v),u)) ),
    inference(res,[status(thm),theory(equality)],[12,151]),
    [iquote('0:Res:12.1,151.0')] ).

cnf(579,plain,
    ~ at(hand,there,do(go(u),do(pick_up,do(go(here),do(let_go,now))))),
    inference(res,[status(thm),theory(equality)],[85,227]),
    [iquote('0:Res:85.0,227.0')] ).

cnf(581,plain,
    $false,
    inference(unc,[status(thm)],[579,4]),
    [iquote('0:UnC:579.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MSC001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n021.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 : Fri Jul  1 16:22:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.50  
% 0.19/0.50  SPASS V 3.9 
% 0.19/0.50  SPASS beiseite: Proof found.
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.50  SPASS derived 544 clauses, backtracked 0 clauses, performed 0 splits and kept 461 clauses.
% 0.19/0.50  SPASS allocated 76614 KBytes.
% 0.19/0.50  SPASS spent	0:00:00.14 on the problem.
% 0.19/0.50  		0:00:00.04 for the input.
% 0.19/0.50  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.50  		0:00:00.01 for inferences.
% 0.19/0.50  		0:00:00.00 for the backtracking.
% 0.19/0.50  		0:00:00.06 for the reduction.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  Here is a proof with depth 6, length 25 :
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  Formulae used in the proof : clause_2 clause_5 clause_7 clause_8 clause_9 clause_11 clause_13 clause_14 clause_17 things_here_now_are_red prove_there_is_a_red_thing
% 0.19/0.50  
%------------------------------------------------------------------------------