TSTP Solution File: REL049-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n022.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  : 300s
% DateTime : Tue Aug 22 10:54:39 EDT 2023

% Result   : Unsatisfiable 2.57s 1.60s
% Output   : CNFRefutation 2.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   21 (  10 unt;  11 typ;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :    6 (;   6   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > sk3 > sk2 > sk1 > one

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(top,type,
    top: $i ).

tff(sk2,type,
    sk2: $i ).

tff(sk1,type,
    sk1: $i ).

tff(converse,type,
    converse: $i > $i ).

tff(join,type,
    join: ( $i * $i ) > $i ).

tff(composition,type,
    composition: ( $i * $i ) > $i ).

tff(complement,type,
    complement: $i > $i ).

tff(one,type,
    one: $i ).

tff(meet,type,
    meet: ( $i * $i ) > $i ).

tff(sk3,type,
    sk3: $i ).

tff(zero,type,
    zero: $i ).

tff(f_75,axiom,
    join(sk1,sk2) = sk2,
    file(unknown,unknown) ).

tff(f_76,axiom,
    join(sk3,sk2) = sk2,
    file(unknown,unknown) ).

tff(f_50,axiom,
    ! [A,B,C] : ( join(A,join(B,C)) = join(join(A,B),C) ),
    file(unknown,unknown) ).

tff(f_78,axiom,
    join(join(sk1,sk3),sk2) != sk2,
    file(unknown,unknown) ).

tff(c_28,plain,
    join(sk1,sk2) = sk2,
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_30,plain,
    join(sk3,sk2) = sk2,
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_4,plain,
    ! [A_3,B_4,C_5] : ( join(join(A_3,B_4),C_5) = join(A_3,join(B_4,C_5)) ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_32,plain,
    join(join(sk1,sk3),sk2) != sk2,
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_34,plain,
    join(sk1,join(sk3,sk2)) != sk2,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_32]) ).

tff(c_36,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_28,c_30,c_34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 15:32:18 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.57/1.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.57/1.60  
% 2.57/1.60  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.57/1.64  
% 2.57/1.64  Inference rules
% 2.57/1.64  ----------------------
% 2.57/1.64  #Ref     : 0
% 2.57/1.64  #Sup     : 0
% 2.57/1.64  #Fact    : 0
% 2.57/1.64  #Define  : 0
% 2.57/1.64  #Split   : 0
% 2.57/1.64  #Chain   : 0
% 2.57/1.64  #Close   : 0
% 2.57/1.64  
% 2.57/1.64  Ordering : KBO
% 2.57/1.64  
% 2.57/1.64  Simplification rules
% 2.57/1.64  ----------------------
% 2.57/1.64  #Subsume      : 15
% 2.57/1.64  #Demod        : 4
% 2.57/1.64  #Tautology    : 0
% 2.57/1.64  #SimpNegUnit  : 0
% 2.57/1.64  #BackRed      : 0
% 2.57/1.64  
% 2.57/1.64  #Partial instantiations: 0
% 2.57/1.64  #Strategies tried      : 1
% 2.57/1.64  
% 2.57/1.64  Timing (in seconds)
% 2.57/1.64  ----------------------
% 2.69/1.64  Preprocessing        : 0.45
% 2.69/1.64  Parsing              : 0.24
% 2.69/1.64  CNF conversion       : 0.02
% 2.69/1.64  Main loop            : 0.08
% 2.69/1.64  Inferencing          : 0.00
% 2.69/1.64  Reduction            : 0.04
% 2.69/1.64  Demodulation         : 0.03
% 2.69/1.64  BG Simplification    : 0.01
% 2.69/1.64  Subsumption          : 0.03
% 2.69/1.64  Abstraction          : 0.01
% 2.69/1.64  MUC search           : 0.00
% 2.69/1.64  Cooper               : 0.00
% 2.69/1.64  Total                : 0.59
% 2.69/1.64  Index Insertion      : 0.00
% 2.69/1.64  Index Deletion       : 0.00
% 2.69/1.64  Index Matching       : 0.00
% 2.69/1.64  BG Taut test         : 0.00
%------------------------------------------------------------------------------