TSTP Solution File: SYN093-1.002 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN093-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n018.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 11:09:36 EDT 2023

% Result   : Unsatisfiable 3.03s 2.07s
% Output   : CNFRefutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   46 (  11 unt;  19 typ;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  23   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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  :   20 (  19 usr;  20 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > u_9 > u_8 > u_7 > u_6 > u_5 > u_4 > u_3 > u_2 > u_13 > u_12 > u_11 > u_10 > u_1 > q_2_2 > q_1_2 > q_1_1 > p_2_2 > p_1_2 > p_1_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(u_6,type,
    u_6: $o ).

tff(u_1,type,
    u_1: $o ).

tff(p_2_2,type,
    p_2_2: $o ).

tff(u_5,type,
    u_5: $o ).

tff(u_3,type,
    u_3: $o ).

tff(u_8,type,
    u_8: $o ).

tff(u_12,type,
    u_12: $o ).

tff(q_1_1,type,
    q_1_1: $o ).

tff(u_13,type,
    u_13: $o ).

tff(u_4,type,
    u_4: $o ).

tff(p_1_1,type,
    p_1_1: $o ).

tff(p_1_2,type,
    p_1_2: $o ).

tff(u_2,type,
    u_2: $o ).

tff(u_11,type,
    u_11: $o ).

tff(u_7,type,
    u_7: $o ).

tff(q_1_2,type,
    q_1_2: $o ).

tff(u_9,type,
    u_9: $o ).

tff(q_2_2,type,
    q_2_2: $o ).

tff(u_10,type,
    u_10: $o ).

tff(f_30,axiom,
    ~ u_1,
    file(unknown,unknown) ).

tff(f_28,axiom,
    ( u_1
    | ~ p_1_2 ),
    file(unknown,unknown) ).

tff(f_43,axiom,
    ( p_1_2
    | ~ u_2 ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ( u_2
    | p_1_2
    | ~ p_2_2
    | ~ p_1_1 ),
    file(unknown,unknown) ).

tff(f_143,axiom,
    ( p_2_2
    | ~ u_12 ),
    file(unknown,unknown) ).

tff(f_139,axiom,
    ( u_12
    | p_2_2 ),
    file(unknown,unknown) ).

tff(f_125,axiom,
    ( u_10
    | p_1_1 ),
    file(unknown,unknown) ).

tff(f_129,axiom,
    ( p_1_1
    | ~ u_10 ),
    file(unknown,unknown) ).

tff(c_4,plain,
    ~ u_1,
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_2,plain,
    ( ~ p_1_2
    | u_1 ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_53,plain,
    ~ p_1_2,
    inference(negUnitSimplification,[status(thm)],[c_4,c_2]) ).

tff(c_8,plain,
    ( ~ u_2
    | p_1_2 ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_56,plain,
    ~ u_2,
    inference(negUnitSimplification,[status(thm)],[c_53,c_8]) ).

tff(c_6,plain,
    ( ~ p_1_1
    | ~ p_2_2
    | p_1_2
    | u_2 ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_57,plain,
    ( ~ p_1_1
    | ~ p_2_2
    | u_2 ),
    inference(negUnitSimplification,[status(thm)],[c_53,c_6]) ).

tff(c_59,plain,
    ( ~ p_1_1
    | ~ p_2_2 ),
    inference(negUnitSimplification,[status(thm)],[c_56,c_57]) ).

tff(c_64,plain,
    ~ p_2_2,
    inference(splitLeft,[status(thm)],[c_59]) ).

tff(c_48,plain,
    ( ~ u_12
    | p_2_2 ),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_72,plain,
    ~ u_12,
    inference(negUnitSimplification,[status(thm)],[c_64,c_48]) ).

tff(c_46,plain,
    ( p_2_2
    | u_12 ),
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_73,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_72,c_64,c_46]) ).

tff(c_74,plain,
    ~ p_1_1,
    inference(splitRight,[status(thm)],[c_59]) ).

tff(c_38,plain,
    ( p_1_1
    | u_10 ),
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_78,plain,
    u_10,
    inference(negUnitSimplification,[status(thm)],[c_74,c_38]) ).

tff(c_40,plain,
    ( ~ u_10
    | p_1_1 ),
    inference(cnfTransformation,[status(thm)],[f_129]) ).

tff(c_82,plain,
    p_1_1,
    inference(demodulation,[status(thm),theory(equality)],[c_78,c_40]) ).

tff(c_83,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_74,c_82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN093-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.15  % 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
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu Aug  3 17:18:20 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 3.03/2.07  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/2.07  
% 3.03/2.07  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.03/2.11  
% 3.03/2.11  Inference rules
% 3.03/2.11  ----------------------
% 3.03/2.11  #Ref     : 0
% 3.03/2.11  #Sup     : 0
% 3.03/2.11  #Fact    : 0
% 3.03/2.11  #Define  : 0
% 3.03/2.11  #Split   : 7
% 3.03/2.11  #Chain   : 0
% 3.03/2.11  #Close   : 0
% 3.03/2.11  
% 3.03/2.11  Ordering : KBO
% 3.03/2.11  
% 3.03/2.11  Simplification rules
% 3.03/2.11  ----------------------
% 3.03/2.11  #Subsume      : 2
% 3.03/2.11  #Demod        : 5
% 3.03/2.11  #Tautology    : 1
% 3.03/2.11  #SimpNegUnit  : 13
% 3.03/2.11  #BackRed      : 0
% 3.03/2.11  
% 3.03/2.11  #Partial instantiations: 0
% 3.03/2.11  #Strategies tried      : 1
% 3.03/2.11  
% 3.03/2.11  Timing (in seconds)
% 3.03/2.11  ----------------------
% 3.03/2.11  Preprocessing        : 0.58
% 3.03/2.11  Parsing              : 0.30
% 3.03/2.11  CNF conversion       : 0.03
% 3.03/2.11  Main loop            : 0.23
% 3.03/2.11  Inferencing          : 0.04
% 3.03/2.11  Reduction            : 0.07
% 3.03/2.11  Demodulation         : 0.04
% 3.03/2.11  BG Simplification    : 0.03
% 3.03/2.11  Subsumption          : 0.06
% 3.03/2.11  Abstraction          : 0.01
% 3.03/2.11  MUC search           : 0.00
% 3.03/2.11  Cooper               : 0.00
% 3.03/2.11  Total                : 0.87
% 3.03/2.11  Index Insertion      : 0.00
% 3.03/2.11  Index Deletion       : 0.00
% 3.03/2.11  Index Matching       : 0.00
% 3.03/2.11  BG Taut test         : 0.00
%------------------------------------------------------------------------------