TSTP Solution File: SYN011-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN011-1 : 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 : n028.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 11:08:31 EDT 2023

% Result   : Unsatisfiable 2.53s 1.61s
% Output   : CNFRefutation 2.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   42 (  19 unt;   7 typ;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  20   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   8 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > t > r > q > p > n > m > l

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(t,type,
    t: $o ).

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

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

tff(m,type,
    m: $o ).

tff(l,type,
    l: $o ).

tff(r,type,
    r: $o ).

tff(n,type,
    n: $o ).

tff(f_35,axiom,
    ( l
    | ~ m ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ( l
    | ~ q ),
    file(unknown,unknown) ).

tff(f_55,axiom,
    t,
    file(unknown,unknown) ).

tff(f_26,axiom,
    ( ~ n
    | ~ t ),
    file(unknown,unknown) ).

tff(f_31,axiom,
    ( m
    | q
    | n ),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ( r
    | p
    | n ),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ( ~ r
    | ~ l ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ( ~ l
    | ~ p ),
    file(unknown,unknown) ).

tff(c_6,plain,
    ( ~ m
    | l ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_41,plain,
    ~ m,
    inference(splitLeft,[status(thm)],[c_6]) ).

tff(c_8,plain,
    ( ~ q
    | l ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_40,plain,
    ~ q,
    inference(splitLeft,[status(thm)],[c_8]) ).

tff(c_16,plain,
    t,
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_2,plain,
    ( ~ t
    | ~ n ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_18,plain,
    ~ n,
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_2]) ).

tff(c_4,plain,
    ( n
    | q
    | m ),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_20,plain,
    ( q
    | m ),
    inference(negUnitSimplification,[status(thm)],[c_18,c_4]) ).

tff(c_44,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_41,c_40,c_20]) ).

tff(c_45,plain,
    l,
    inference(splitRight,[status(thm)],[c_6]) ).

tff(c_12,plain,
    ( n
    | p
    | r ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_19,plain,
    ( p
    | r ),
    inference(negUnitSimplification,[status(thm)],[c_18,c_12]) ).

tff(c_21,plain,
    r,
    inference(splitLeft,[status(thm)],[c_19]) ).

tff(c_14,plain,
    ( ~ l
    | ~ r ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_33,plain,
    ~ l,
    inference(demodulation,[status(thm),theory(equality)],[c_21,c_14]) ).

tff(c_22,plain,
    m,
    inference(splitLeft,[status(thm)],[c_20]) ).

tff(c_25,plain,
    l,
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_6]) ).

tff(c_29,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_21,c_25,c_14]) ).

tff(c_30,plain,
    q,
    inference(splitRight,[status(thm)],[c_20]) ).

tff(c_36,plain,
    l,
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_8]) ).

tff(c_37,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_33,c_36]) ).

tff(c_38,plain,
    p,
    inference(splitRight,[status(thm)],[c_19]) ).

tff(c_10,plain,
    ( ~ p
    | ~ l ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_50,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_45,c_38,c_10]) ).

tff(c_51,plain,
    l,
    inference(splitRight,[status(thm)],[c_8]) ).

tff(c_56,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_51,c_38,c_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN011-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % 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
% 0.14/0.35  % Computer : n028.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 17:36:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.53/1.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.53/1.62  
% 2.53/1.62  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.61/1.65  
% 2.61/1.65  Inference rules
% 2.61/1.65  ----------------------
% 2.61/1.65  #Ref     : 0
% 2.61/1.65  #Sup     : 0
% 2.61/1.65  #Fact    : 0
% 2.61/1.65  #Define  : 0
% 2.61/1.65  #Split   : 5
% 2.61/1.65  #Chain   : 0
% 2.61/1.65  #Close   : 0
% 2.61/1.65  
% 2.61/1.65  Ordering : KBO
% 2.61/1.65  
% 2.61/1.65  Simplification rules
% 2.61/1.65  ----------------------
% 2.61/1.65  #Subsume      : 4
% 2.61/1.65  #Demod        : 15
% 2.61/1.65  #Tautology    : 2
% 2.61/1.65  #SimpNegUnit  : 5
% 2.61/1.65  #BackRed      : 0
% 2.61/1.65  
% 2.61/1.65  #Partial instantiations: 0
% 2.61/1.65  #Strategies tried      : 1
% 2.61/1.65  
% 2.61/1.65  Timing (in seconds)
% 2.61/1.65  ----------------------
% 2.61/1.66  Preprocessing        : 0.37
% 2.61/1.66  Parsing              : 0.19
% 2.61/1.66  CNF conversion       : 0.01
% 2.61/1.66  Main loop            : 0.17
% 2.61/1.66  Inferencing          : 0.05
% 2.61/1.66  Reduction            : 0.05
% 2.61/1.66  Demodulation         : 0.03
% 2.61/1.66  BG Simplification    : 0.01
% 2.61/1.66  Subsumption          : 0.04
% 2.61/1.66  Abstraction          : 0.01
% 2.61/1.66  MUC search           : 0.00
% 2.61/1.66  Cooper               : 0.00
% 2.61/1.66  Total                : 0.60
% 2.61/1.66  Index Insertion      : 0.00
% 2.61/1.66  Index Deletion       : 0.00
% 2.61/1.66  Index Matching       : 0.00
% 2.61/1.66  BG Taut test         : 0.00
%------------------------------------------------------------------------------