TSTP Solution File: PUZ018_1 by SPASS+T---2.2.22

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : PUZ018_1 : TPTP v8.1.0. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n024.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 18:27:36 EDT 2022

% Result   : Theorem 0.80s 1.14s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :   33
% Syntax   : Number of clauses     :   34 (  28 unt;   2 nHn;  34 RR)
%            Number of literals    :   65 (   0 equ;  33 neg)
%            Maximal clause size   :   11 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    day(saturday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(2,axiom,
    day(sunday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(3,axiom,
    day(friday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(4,axiom,
    day(thursday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(5,axiom,
    day(wednesday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(6,axiom,
    day(tuesday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(7,axiom,
    day(monday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(8,axiom,
    person(c),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(9,axiom,
    person(b),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(10,axiom,
    person(a),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(15,axiom,
    consecutive(thursday,friday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(16,axiom,
    consecutive(wednesday,thursday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(17,axiom,
    consecutive(tuesday,wednesday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(18,axiom,
    consecutive(monday,tuesday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(19,axiom,
    consecutive(sunday,monday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(20,axiom,
    ~ all_on(friday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(21,axiom,
    ~ on(c,sunday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(22,axiom,
    ~ on(b,saturday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(23,axiom,
    ~ on(b,thursday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(24,axiom,
    ~ on(a,thursday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(25,axiom,
    ~ on(a,tuesday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(26,axiom,
    ~ on(a,sunday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(35,axiom,
    ~ same_day(tuesday,thursday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(44,axiom,
    ~ same_day(sunday,thursday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(46,axiom,
    ~ same_day(sunday,tuesday),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(49,axiom,
    ~ same_person(a,c),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(50,axiom,
    ~ same_person(a,b),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(53,axiom,
    ( ~ day(U)
    | ~ all_on(U)
    | on(c,U) ),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ day(U)
    | ~ all_on(U)
    | on(b,U) ),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(55,axiom,
    ( ~ day(U)
    | ~ all_on(U)
    | on(a,U) ),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(56,axiom,
    ( all_on(saturday)
    | all_on(friday)
    | all_on(thursday)
    | all_on(wednesday)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(sunday) ),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(59,axiom,
    ( ~ person(U)
    | ~ day(V)
    | ~ day(W)
    | ~ person(X)
    | on(U,V)
    | on(U,W)
    | same_person(U,X)
    | same_day(V,W)
    | on(X,V)
    | on(X,W) ),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ day(U)
    | ~ day(V)
    | ~ day(W)
    | ~ day(X)
    | ~ person(Y)
    | ~ consecutive(U,V)
    | ~ on(Y,U)
    | ~ on(Y,V)
    | ~ consecutive(V,W)
    | ~ consecutive(W,X)
    | ~ on(Y,W) ),
    file('PUZ018_1.p',unknown),
    [] ).

cnf(419,plain,
    $false,
    inference(thr,[status(thm)],[60,59,56,55,54,53,50,49,46,44,35,26,25,24,23,22,21,20,19,18,17,16,15,10,9,8,7,6,5,4,3,2,1]),
    [iquote('0:ThR:60,59,56,55,54,53,50,49,46,44,35,26,25,24,23,22,21,20,19,18,17,16,15,10,9,8,7,6,5,4,3,2,1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : PUZ018_1 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.12/0.13  % Command  : spasst-tptp-script %s %d
% 0.12/0.34  % Computer : n024.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 19:51:37 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.47  % Using EUF theory
% 0.80/1.14  
% 0.80/1.14  
% 0.80/1.14  % SZS status Theorem for /tmp/SPASST_6570_n024.cluster.edu
% 0.80/1.14  
% 0.80/1.14  SPASS V 2.2.22  in combination with yices.
% 0.80/1.14  SPASS beiseite: Proof found by SPASS and SMT.
% 0.80/1.14  Problem: /tmp/SPASST_6570_n024.cluster.edu 
% 0.80/1.14  SPASS derived 259 clauses, backtracked 125 clauses and kept 379 clauses.
% 0.80/1.14  SPASS backtracked 6 times (1 times due to theory inconsistency).
% 0.80/1.14  SPASS allocated 6604 KBytes.
% 0.80/1.14  SPASS spent	0:00:00.06 on the problem.
% 0.80/1.14  		0:00:00.00 for the input.
% 0.80/1.14  		0:00:00.01 for the FLOTTER CNF translation.
% 0.80/1.14  		0:00:00.00 for inferences.
% 0.80/1.14  		0:00:00.00 for the backtracking.
% 0.80/1.14  		0:00:00.03 for the reduction.
% 0.80/1.14  		0:00:00.01 for interacting with the SMT procedure.
% 0.80/1.14  		
% 0.80/1.14  
% 0.80/1.14  % SZS output start CNFRefutation for /tmp/SPASST_6570_n024.cluster.edu
% See solution above
% 0.80/1.14  
% 0.80/1.14  Formulae used in the proof : fof_saturday_type fof_sunday_type fof_friday_type fof_thursday_type fof_wednesday_type fof_tuesday_type fof_monday_type fof_c_type fof_b_type fof_a_type fof_friday_follows_thursday fof_thursday_follows_wednesday fof_wednesday_follows_tuesday fof_tuesday_follows_monday fof_monday_follows_sunday fof_prove_all_on_friday fof_c_off_sunday fof_b_off_saturday fof_b_off_thursday fof_a_off_thursday fof_a_off_tuesday fof_a_off_sunday fof_tuesday_not_thursday fof_sunday_not_thursday fof_sunday_not_tuesday fof_a_not_c fof_a_not_b fof_all_on_c_on fof_all_on_b_on fof_all_on_a_on fof_all_on_one_day fof_no_two_off_twice_together fof_not_on_for_3_days
% 0.80/1.14  
% 0.80/1.14  SPASS+T ended
%------------------------------------------------------------------------------