TSTP Solution File: PUZ033-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 : Mon Jul 18 18:27:21 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   28 (  13 unt;   4 nHn;  28 RR)
%            Number of literals    :   52 (   0 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   12 (  11 usr;  12 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ wind_in_east
    | sunshine ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ cold
    | ~ foggy
    | neighbor_practices_flute ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ fire_smokes
    | door_is_open ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ cold
    | ~ i_feel_rheumatic
    | fire_is_lit ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ wind_in_east
    | ~ wind_in_gusts
    | fire_smokes ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ sunshine
    | ~ foggy
    | cold
    | window_is_shut ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ fire_is_lit
    | ~ i_feel_rheumatic
    | wind_in_gusts
    | door_is_open ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ sunshine
    | foggy ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ neighbor_practices_flute
    | ~ door_is_open ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ foggy
    | ~ wind_in_east
    | i_feel_rheumatic ),
    file('PUZ033-1.p',unknown),
    [] ).

cnf(12,axiom,
    wind_in_east,
    file('PUZ033-1.p',unknown),
    [] ).

cnf(13,axiom,
    ~ window_is_shut,
    file('PUZ033-1.p',unknown),
    [] ).

cnf(14,plain,
    sunshine,
    inference(mrr,[status(thm)],[1,12]),
    [iquote('0:MRR:1.0,12.0')] ).

cnf(15,plain,
    foggy,
    inference(mrr,[status(thm)],[9,14]),
    [iquote('0:MRR:9.0,14.0')] ).

cnf(16,plain,
    i_feel_rheumatic,
    inference(mrr,[status(thm)],[11,15,12]),
    [iquote('0:MRR:11.0,11.1,15.0,12.0')] ).

cnf(17,plain,
    ( ~ wind_in_gusts
    | fire_smokes ),
    inference(mrr,[status(thm)],[5,12]),
    [iquote('0:MRR:5.0,12.0')] ).

cnf(18,plain,
    ( ~ cold
    | fire_is_lit ),
    inference(mrr,[status(thm)],[4,16]),
    [iquote('0:MRR:4.1,16.0')] ).

cnf(19,plain,
    ( ~ cold
    | neighbor_practices_flute ),
    inference(mrr,[status(thm)],[2,15]),
    [iquote('0:MRR:2.1,15.0')] ).

cnf(20,plain,
    ( ~ fire_is_lit
    | wind_in_gusts
    | door_is_open ),
    inference(mrr,[status(thm)],[8,16]),
    [iquote('0:MRR:8.1,16.0')] ).

cnf(21,plain,
    cold,
    inference(mrr,[status(thm)],[7,14,15,13]),
    [iquote('0:MRR:7.0,7.1,7.3,14.0,15.0,13.0')] ).

cnf(22,plain,
    fire_is_lit,
    inference(mrr,[status(thm)],[18,21]),
    [iquote('0:MRR:18.0,21.0')] ).

cnf(23,plain,
    neighbor_practices_flute,
    inference(mrr,[status(thm)],[19,21]),
    [iquote('0:MRR:19.0,21.0')] ).

cnf(24,plain,
    ( wind_in_gusts
    | door_is_open ),
    inference(mrr,[status(thm)],[20,22]),
    [iquote('0:MRR:20.0,22.0')] ).

cnf(25,plain,
    ~ door_is_open,
    inference(mrr,[status(thm)],[10,23]),
    [iquote('0:MRR:10.0,23.0')] ).

cnf(26,plain,
    ~ fire_smokes,
    inference(mrr,[status(thm)],[3,25]),
    [iquote('0:MRR:3.1,25.0')] ).

cnf(27,plain,
    wind_in_gusts,
    inference(mrr,[status(thm)],[24,25]),
    [iquote('0:MRR:24.1,25.0')] ).

cnf(28,plain,
    fire_smokes,
    inference(mrr,[status(thm)],[17,27]),
    [iquote('0:MRR:17.0,27.0')] ).

cnf(29,plain,
    $false,
    inference(mrr,[status(thm)],[26,28]),
    [iquote('0:MRR:26.0,28.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n020.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 : Sat May 28 23:55:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.41  
% 0.19/0.41  SPASS V 3.9 
% 0.19/0.41  SPASS beiseite: Proof found.
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.41  SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 21 clauses.
% 0.19/0.41  SPASS allocated 63094 KBytes.
% 0.19/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.41  		0:00:00.04 for the input.
% 0.19/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41  		0:00:00.00 for inferences.
% 0.19/0.41  		0:00:00.00 for the backtracking.
% 0.19/0.41  		0:00:00.00 for the reduction.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Here is a proof with depth 0, length 28 :
% 0.19/0.41  % SZS output start Refutation
% See solution above
% 0.19/0.41  Formulae used in the proof : c1 c2 c3 c4 c5 c7 c8 c9 c10 c11 c12 prove_window_is_shut
% 0.19/0.41  
%------------------------------------------------------------------------------