TSTP Solution File: LCL194-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL194-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n004.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 10:47:37 EDT 2023

% Result   : Unsatisfiable 58.35s 47.89s
% Output   : CNFRefutation 58.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   29 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  20   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   4   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   49 (;  49   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #nlpp > not > r > q > p

%Foreground sorts:

%Background operators:

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

tff(theorem,type,
    theorem: $i > $o ).

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

tff(not,type,
    not: $i > $i ).

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

tff(axiom,type,
    axiom: $i > $o ).

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

tff(f_61,axiom,
    ! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
    file(unknown,unknown) ).

tff(f_57,axiom,
    ! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
    file(unknown,unknown) ).

tff(f_66,axiom,
    ! [X] :
      ( theorem(X)
      | ~ axiom(X) ),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
    file(unknown,unknown) ).

tff(f_74,axiom,
    ! [X,Y] :
      ( theorem(X)
      | ~ axiom(or(not(Y),X))
      | ~ theorem(Y) ),
    file(unknown,unknown) ).

tff(f_82,axiom,
    ! [X,Z,Y] :
      ( theorem(or(not(X),Z))
      | ~ axiom(or(not(X),Y))
      | ~ theorem(or(not(Y),Z)) ),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))),
    file(unknown,unknown) ).

tff(c_10,plain,
    ! [A_9,B_10,C_11] : axiom(or(not(or(not(A_9),B_10)),or(not(or(C_11,A_9)),or(C_11,B_10)))),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_6,plain,
    ! [A_4,B_5] : axiom(or(not(or(A_4,B_5)),or(B_5,A_4))),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_12,plain,
    ! [X_12] :
      ( ~ axiom(X_12)
      | theorem(X_12) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_56,plain,
    ! [A_32,B_33,C_34] : axiom(or(not(or(A_32,or(B_33,C_34))),or(B_33,or(A_32,C_34)))),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_14,plain,
    ! [Y_14,X_13] :
      ( ~ theorem(Y_14)
      | ~ axiom(or(not(Y_14),X_13))
      | theorem(X_13) ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_79,plain,
    ! [A_39,B_40,C_41] :
      ( ~ theorem(or(A_39,or(B_40,C_41)))
      | theorem(or(B_40,or(A_39,C_41))) ),
    inference(resolution,[status(thm)],[c_56,c_14]) ).

tff(c_461,plain,
    ! [B_84,A_85,C_86] :
      ( theorem(or(B_84,or(A_85,C_86)))
      | ~ axiom(or(A_85,or(B_84,C_86))) ),
    inference(resolution,[status(thm)],[c_12,c_79]) ).

tff(c_16,plain,
    ! [Y_17,Z_16,X_15] :
      ( ~ theorem(or(not(Y_17),Z_16))
      | ~ axiom(or(not(X_15),Y_17))
      | theorem(or(not(X_15),Z_16)) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_5755,plain,
    ! [X_689,Y_690,A_691,C_692] :
      ( ~ axiom(or(not(X_689),Y_690))
      | theorem(or(not(X_689),or(A_691,C_692)))
      | ~ axiom(or(A_691,or(not(Y_690),C_692))) ),
    inference(resolution,[status(thm)],[c_461,c_16]) ).

tff(c_15149,plain,
    ! [A_1626,B_1627,A_1628,C_1629] :
      ( theorem(or(not(or(A_1626,B_1627)),or(A_1628,C_1629)))
      | ~ axiom(or(A_1628,or(not(or(B_1627,A_1626)),C_1629))) ),
    inference(resolution,[status(thm)],[c_6,c_5755]) ).

tff(c_60,plain,
    ! [A_32,B_33,C_34] :
      ( ~ theorem(or(A_32,or(B_33,C_34)))
      | theorem(or(B_33,or(A_32,C_34))) ),
    inference(resolution,[status(thm)],[c_56,c_14]) ).

tff(c_85425,plain,
    ! [A_5659,A_5660,B_5661,C_5662] :
      ( theorem(or(A_5659,or(not(or(A_5660,B_5661)),C_5662)))
      | ~ axiom(or(A_5659,or(not(or(B_5661,A_5660)),C_5662))) ),
    inference(resolution,[status(thm)],[c_15149,c_60]) ).

tff(c_18,plain,
    ~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_85479,plain,
    ~ axiom(or(not(or(not(q),r)),or(not(or(p,q)),or(p,r)))),
    inference(resolution,[status(thm)],[c_85425,c_18]) ).

tff(c_85517,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_85479]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL194-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 13:54:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 58.35/47.89  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.35/47.90  
% 58.35/47.90  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 58.48/47.93  
% 58.48/47.93  Inference rules
% 58.48/47.93  ----------------------
% 58.48/47.93  #Ref     : 0
% 58.48/47.93  #Sup     : 19110
% 58.48/47.93  #Fact    : 0
% 58.48/47.93  #Define  : 0
% 58.48/47.93  #Split   : 0
% 58.48/47.93  #Chain   : 0
% 58.48/47.93  #Close   : 0
% 58.48/47.93  
% 58.48/47.93  Ordering : KBO
% 58.48/47.93  
% 58.48/47.93  Simplification rules
% 58.48/47.93  ----------------------
% 58.48/47.93  #Subsume      : 1417
% 58.48/47.93  #Demod        : 7080
% 58.48/47.93  #Tautology    : 7087
% 58.48/47.93  #SimpNegUnit  : 0
% 58.48/47.93  #BackRed      : 0
% 58.48/47.93  
% 58.48/47.93  #Partial instantiations: 0
% 58.48/47.93  #Strategies tried      : 1
% 58.48/47.93  
% 58.48/47.93  Timing (in seconds)
% 58.48/47.93  ----------------------
% 58.48/47.93  Preprocessing        : 0.44
% 58.48/47.93  Parsing              : 0.24
% 58.48/47.93  CNF conversion       : 0.02
% 58.48/47.93  Main loop            : 46.43
% 58.48/47.93  Inferencing          : 5.58
% 58.48/47.93  Reduction            : 19.27
% 58.48/47.93  Demodulation         : 16.46
% 58.48/47.93  BG Simplification    : 0.10
% 58.48/47.93  Subsumption          : 19.73
% 58.48/47.93  Abstraction          : 0.18
% 58.48/47.93  MUC search           : 0.00
% 58.48/47.93  Cooper               : 0.00
% 58.48/47.93  Total                : 46.92
% 58.48/47.93  Index Insertion      : 0.00
% 58.48/47.93  Index Deletion       : 0.00
% 58.48/47.93  Index Matching       : 0.00
% 58.48/47.93  BG Taut test         : 0.00
%------------------------------------------------------------------------------