TSTP Solution File: PUZ037-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : Mon Jul 18 18:27:22 EDT 2022

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-54 aty)
%            Number of functors    :   60 (  60 usr;  60 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,r,r,r,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg),
    file('PUZ037-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ state(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48)
    | state(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x25,x26,x27,x16,x17,x18,x19,x20,x21,x22,x23,x24,x28,x29,x30,x31,x32,x33,x34,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48) ),
    file('PUZ037-1.p',unknown),
    [] ).

cnf(20,axiom,
    ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg),
    file('PUZ037-1.p',unknown),
    [] ).

cnf(23,plain,
    ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,r,r,r,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg),
    inference(res,[status(thm),theory(equality)],[12,20]),
    [iquote('0:Res:12.1,20.0')] ).

cnf(39,plain,
    $false,
    inference(mrr,[status(thm)],[23,1]),
    [iquote('0:MRR:23.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12  % 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 : Sat May 28 20:05:10 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 18 clauses, backtracked 0 clauses, performed 0 splits and kept 36 clauses.
% 0.18/0.44  SPASS allocated 63313 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.44  		0:00:00.05 for the input.
% 0.18/0.44  		0:00:00.00 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  		0:00:00.01 for the reduction.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  Here is a proof with depth 1, length 5 :
% 0.18/0.44  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : start_with_this myx make_like_this
% 0.18/0.44  
%------------------------------------------------------------------------------