TSTP Solution File: LCL025-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL025-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n032.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 10:47:12 EDT 2023

% Result   : Unsatisfiable 9.98s 3.60s
% Output   : CNFRefutation 9.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (;  45   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > falsehood > c > b > a

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

tff(f_40,axiom,
    ! [X,Y,Z] : is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
    file(unknown,unknown) ).

tff(f_36,axiom,
    ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [X,Y] :
      ( ~ is_a_theorem(implies(X,Y))
      | ~ is_a_theorem(X)
      | is_a_theorem(Y) ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file(unknown,unknown) ).

tff(c_8,plain,
    ! [X_6,Y_7,Z_8] : is_a_theorem(implies(implies(X_6,implies(Y_7,Z_8)),implies(implies(X_6,Y_7),implies(X_6,Z_8)))),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_4,plain,
    ! [X_3,Y_4] : is_a_theorem(implies(X_3,implies(Y_4,X_3))),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_12,plain,
    ! [Y_11,X_12] :
      ( is_a_theorem(Y_11)
      | ~ is_a_theorem(X_12)
      | ~ is_a_theorem(implies(X_12,Y_11)) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_16,plain,
    ! [Y_4,X_3] :
      ( is_a_theorem(implies(Y_4,X_3))
      | ~ is_a_theorem(X_3) ),
    inference(resolution,[status(thm)],[c_4,c_12]) ).

tff(c_46,plain,
    ! [X_17,Y_18,Z_19] : is_a_theorem(implies(implies(X_17,implies(Y_18,Z_19)),implies(implies(X_17,Y_18),implies(X_17,Z_19)))),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_2,plain,
    ! [Y_2,X_1] :
      ( is_a_theorem(Y_2)
      | ~ is_a_theorem(X_1)
      | ~ is_a_theorem(implies(X_1,Y_2)) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_59,plain,
    ! [X_20,Y_21,Z_22] :
      ( is_a_theorem(implies(implies(X_20,Y_21),implies(X_20,Z_22)))
      | ~ is_a_theorem(implies(X_20,implies(Y_21,Z_22))) ),
    inference(resolution,[status(thm)],[c_46,c_2]) ).

tff(c_64,plain,
    ! [X_23,Z_24,Y_25] :
      ( is_a_theorem(implies(X_23,Z_24))
      | ~ is_a_theorem(implies(X_23,Y_25))
      | ~ is_a_theorem(implies(X_23,implies(Y_25,Z_24))) ),
    inference(resolution,[status(thm)],[c_59,c_2]) ).

tff(c_120,plain,
    ! [Y_29,Z_30,Y_31] :
      ( is_a_theorem(implies(Y_29,Z_30))
      | ~ is_a_theorem(implies(Y_29,Y_31))
      | ~ is_a_theorem(implies(Y_31,Z_30)) ),
    inference(resolution,[status(thm)],[c_16,c_64]) ).

tff(c_139,plain,
    ! [X_32,Z_33,Y_34] :
      ( is_a_theorem(implies(X_32,Z_33))
      | ~ is_a_theorem(implies(implies(Y_34,X_32),Z_33)) ),
    inference(resolution,[status(thm)],[c_4,c_120]) ).

tff(c_164,plain,
    ! [Y_7,Z_8,X_6] : is_a_theorem(implies(implies(Y_7,Z_8),implies(implies(X_6,Y_7),implies(X_6,Z_8)))),
    inference(resolution,[status(thm)],[c_8,c_139]) ).

tff(c_50,plain,
    ! [X_17,Y_18,Z_19] :
      ( is_a_theorem(implies(implies(X_17,Y_18),implies(X_17,Z_19)))
      | ~ is_a_theorem(implies(X_17,implies(Y_18,Z_19))) ),
    inference(resolution,[status(thm)],[c_46,c_2]) ).

tff(c_3828,plain,
    ! [Y_183,X_184,Z_185] :
      ( is_a_theorem(implies(Y_183,implies(X_184,Z_185)))
      | ~ is_a_theorem(implies(X_184,implies(Y_183,Z_185))) ),
    inference(resolution,[status(thm)],[c_50,c_139]) ).

tff(c_3928,plain,
    ! [X_6,Y_7,Z_8] : is_a_theorem(implies(implies(X_6,Y_7),implies(implies(Y_7,Z_8),implies(X_6,Z_8)))),
    inference(resolution,[status(thm)],[c_164,c_3828]) ).

tff(c_10,plain,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_18455,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3928,c_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL025-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % 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
% 0.12/0.33  % Computer : n032.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  : 300
% 0.12/0.33  % DateTime : Thu Aug  3 13:32:51 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 9.98/3.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.98/3.60  
% 9.98/3.60  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.98/3.64  
% 9.98/3.64  Inference rules
% 9.98/3.64  ----------------------
% 9.98/3.64  #Ref     : 0
% 9.98/3.64  #Sup     : 4097
% 9.98/3.64  #Fact    : 0
% 9.98/3.64  #Define  : 0
% 9.98/3.64  #Split   : 5
% 9.98/3.64  #Chain   : 0
% 9.98/3.64  #Close   : 0
% 9.98/3.64  
% 9.98/3.64  Ordering : KBO
% 9.98/3.64  
% 9.98/3.64  Simplification rules
% 9.98/3.64  ----------------------
% 9.98/3.64  #Subsume      : 1607
% 9.98/3.64  #Demod        : 867
% 9.98/3.64  #Tautology    : 764
% 9.98/3.64  #SimpNegUnit  : 43
% 9.98/3.64  #BackRed      : 14
% 9.98/3.64  
% 9.98/3.64  #Partial instantiations: 0
% 9.98/3.64  #Strategies tried      : 1
% 9.98/3.64  
% 9.98/3.64  Timing (in seconds)
% 9.98/3.64  ----------------------
% 9.98/3.64  Preprocessing        : 0.39
% 9.98/3.64  Parsing              : 0.22
% 9.98/3.64  CNF conversion       : 0.02
% 9.98/3.65  Main loop            : 2.21
% 9.98/3.65  Inferencing          : 0.66
% 9.98/3.65  Reduction            : 0.70
% 9.98/3.65  Demodulation         : 0.53
% 9.98/3.65  BG Simplification    : 0.04
% 9.98/3.65  Subsumption          : 0.66
% 9.98/3.65  Abstraction          : 0.05
% 9.98/3.65  MUC search           : 0.00
% 9.98/3.65  Cooper               : 0.00
% 9.98/3.65  Total                : 2.66
% 9.98/3.65  Index Insertion      : 0.00
% 9.98/3.65  Index Deletion       : 0.00
% 9.98/3.65  Index Matching       : 0.00
% 9.98/3.65  BG Taut test         : 0.00
%------------------------------------------------------------------------------