TSTP Solution File: LCL171-3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL171-3 : TPTP v8.1.2. Released v2.3.0.
% 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 : n009.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 10:47:31 EDT 2023

% Result   : Unsatisfiable 3.21s 1.90s
% Output   : CNFRefutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   19 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   14 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   5   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (;  14   !;   0   ?;   0   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:
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(implies,type,
    implies: ( $i * $i ) > $i ).

tff(f_56,axiom,
    ! [X,Y] : ( implies(X,Y) = or(not(X),Y) ),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ! [A,B] : axiom(implies(or(A,B),or(B,A))),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ! [X] :
      ( theorem(X)
      | ~ axiom(X) ),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ~ theorem(implies(implies(p,not(q)),implies(q,not(p)))),
    file(unknown,unknown) ).

tff(c_12,plain,
    ! [X_12,Y_13] : ( or(not(X_12),Y_13) = implies(X_12,Y_13) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_44,plain,
    ! [A_27,B_28] : axiom(implies(or(A_27,B_28),or(B_28,A_27))),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_232,plain,
    ! [X_56,Y_57] : axiom(implies(implies(X_56,Y_57),or(Y_57,not(X_56)))),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_44]) ).

tff(c_239,plain,
    ! [X_56,X_12] : axiom(implies(implies(X_56,not(X_12)),implies(X_12,not(X_56)))),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_232]) ).

tff(c_14,plain,
    ! [X_14] :
      ( ~ axiom(X_14)
      | theorem(X_14) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_18,plain,
    ~ theorem(implies(implies(p,not(q)),implies(q,not(p)))),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_76,plain,
    ~ axiom(implies(implies(p,not(q)),implies(q,not(p)))),
    inference(resolution,[status(thm)],[c_14,c_18]) ).

tff(c_303,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_239,c_76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL171-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14  % 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
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 14:15:38 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 3.21/1.90  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.21/1.90  
% 3.21/1.90  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.39/1.92  
% 3.39/1.92  Inference rules
% 3.39/1.92  ----------------------
% 3.39/1.92  #Ref     : 0
% 3.39/1.92  #Sup     : 63
% 3.39/1.92  #Fact    : 0
% 3.39/1.92  #Define  : 0
% 3.39/1.92  #Split   : 1
% 3.39/1.92  #Chain   : 0
% 3.39/1.92  #Close   : 0
% 3.39/1.92  
% 3.39/1.92  Ordering : KBO
% 3.39/1.92  
% 3.39/1.92  Simplification rules
% 3.39/1.92  ----------------------
% 3.39/1.92  #Subsume      : 12
% 3.39/1.92  #Demod        : 9
% 3.39/1.92  #Tautology    : 9
% 3.39/1.92  #SimpNegUnit  : 0
% 3.39/1.92  #BackRed      : 1
% 3.39/1.92  
% 3.39/1.92  #Partial instantiations: 0
% 3.39/1.92  #Strategies tried      : 1
% 3.39/1.92  
% 3.39/1.92  Timing (in seconds)
% 3.39/1.92  ----------------------
% 3.39/1.93  Preprocessing        : 0.44
% 3.39/1.93  Parsing              : 0.24
% 3.39/1.93  CNF conversion       : 0.02
% 3.39/1.93  Main loop            : 0.36
% 3.39/1.93  Inferencing          : 0.15
% 3.39/1.93  Reduction            : 0.09
% 3.39/1.93  Demodulation         : 0.06
% 3.39/1.93  BG Simplification    : 0.01
% 3.39/1.93  Subsumption          : 0.08
% 3.39/1.93  Abstraction          : 0.01
% 3.39/1.93  MUC search           : 0.00
% 3.39/1.93  Cooper               : 0.00
% 3.39/1.93  Total                : 0.84
% 3.39/1.93  Index Insertion      : 0.00
% 3.39/1.93  Index Deletion       : 0.00
% 3.39/1.93  Index Matching       : 0.00
% 3.39/1.93  BG Taut test         : 0.00
%------------------------------------------------------------------------------