TSTP Solution File: SYN003-1.006 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN003-1.006 : 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 : n007.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 11:08:29 EDT 2023

% Result   : Unsatisfiable 2.24s 1.50s
% Output   : CNFRefutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   59 (  17 unt;  18 typ;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   74 (  40   ~;  34   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 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  :   19 (  18 usr;  19 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > r_5 > r_4 > r_3 > r_2 > r_1 > r > q_5 > q_4 > q_3 > q_2 > q_1 > q > p_6 > p_5 > p_4 > p_3 > p_2 > p_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(q_5,type,
    q_5: $o ).

tff(q_3,type,
    q_3: $o ).

tff(q_1,type,
    q_1: $o ).

tff(r_2,type,
    r_2: $o ).

tff(p_2,type,
    p_2: $o ).

tff(r_5,type,
    r_5: $o ).

tff(p_5,type,
    p_5: $o ).

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

tff(q_4,type,
    q_4: $o ).

tff(r_1,type,
    r_1: $o ).

tff(q_2,type,
    q_2: $o ).

tff(p_6,type,
    p_6: $o ).

tff(r_4,type,
    r_4: $o ).

tff(p_3,type,
    p_3: $o ).

tff(p_1,type,
    p_1: $o ).

tff(r_3,type,
    r_3: $o ).

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

tff(p_4,type,
    p_4: $o ).

tff(f_145,axiom,
    ~ p_6,
    file(unknown,unknown) ).

tff(f_147,axiom,
    r,
    file(unknown,unknown) ).

tff(f_142,axiom,
    ( ~ r
    | r_5 ),
    file(unknown,unknown) ).

tff(f_102,axiom,
    ( ~ p_5
    | ~ r_5
    | p_6 ),
    file(unknown,unknown) ).

tff(f_138,axiom,
    ( ~ r
    | r_4 ),
    file(unknown,unknown) ).

tff(f_95,axiom,
    ( ~ p_4
    | ~ r_4
    | p_5 ),
    file(unknown,unknown) ).

tff(f_134,axiom,
    ( ~ r
    | r_3 ),
    file(unknown,unknown) ).

tff(f_88,axiom,
    ( ~ p_3
    | ~ r_3
    | p_4 ),
    file(unknown,unknown) ).

tff(f_130,axiom,
    ( ~ r
    | r_2 ),
    file(unknown,unknown) ).

tff(f_81,axiom,
    ( ~ p_2
    | ~ r_2
    | p_3 ),
    file(unknown,unknown) ).

tff(f_143,axiom,
    p_1,
    file(unknown,unknown) ).

tff(f_126,axiom,
    ( ~ r
    | r_1 ),
    file(unknown,unknown) ).

tff(f_74,axiom,
    ( ~ p_1
    | ~ r_1
    | p_2 ),
    file(unknown,unknown) ).

tff(c_44,plain,
    ~ p_6,
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_48,plain,
    r,
    inference(cnfTransformation,[status(thm)],[f_147]) ).

tff(c_40,plain,
    ( r_5
    | ~ r ),
    inference(cnfTransformation,[status(thm)],[f_142]) ).

tff(c_50,plain,
    r_5,
    inference(demodulation,[status(thm),theory(equality)],[c_48,c_40]) ).

tff(c_20,plain,
    ( p_6
    | ~ r_5
    | ~ p_5 ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_70,plain,
    ( p_6
    | ~ p_5 ),
    inference(demodulation,[status(thm),theory(equality)],[c_50,c_20]) ).

tff(c_71,plain,
    ~ p_5,
    inference(negUnitSimplification,[status(thm)],[c_44,c_70]) ).

tff(c_38,plain,
    ( r_4
    | ~ r ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_52,plain,
    r_4,
    inference(demodulation,[status(thm),theory(equality)],[c_48,c_38]) ).

tff(c_18,plain,
    ( p_5
    | ~ r_4
    | ~ p_4 ),
    inference(cnfTransformation,[status(thm)],[f_95]) ).

tff(c_73,plain,
    ( p_5
    | ~ p_4 ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_18]) ).

tff(c_74,plain,
    ~ p_4,
    inference(negUnitSimplification,[status(thm)],[c_71,c_73]) ).

tff(c_36,plain,
    ( r_3
    | ~ r ),
    inference(cnfTransformation,[status(thm)],[f_134]) ).

tff(c_54,plain,
    r_3,
    inference(demodulation,[status(thm),theory(equality)],[c_48,c_36]) ).

tff(c_16,plain,
    ( p_4
    | ~ r_3
    | ~ p_3 ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_76,plain,
    ( p_4
    | ~ p_3 ),
    inference(demodulation,[status(thm),theory(equality)],[c_54,c_16]) ).

tff(c_77,plain,
    ~ p_3,
    inference(negUnitSimplification,[status(thm)],[c_74,c_76]) ).

tff(c_34,plain,
    ( r_2
    | ~ r ),
    inference(cnfTransformation,[status(thm)],[f_130]) ).

tff(c_56,plain,
    r_2,
    inference(demodulation,[status(thm),theory(equality)],[c_48,c_34]) ).

tff(c_14,plain,
    ( p_3
    | ~ r_2
    | ~ p_2 ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_79,plain,
    ( p_3
    | ~ p_2 ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_14]) ).

tff(c_80,plain,
    ~ p_2,
    inference(negUnitSimplification,[status(thm)],[c_77,c_79]) ).

tff(c_42,plain,
    p_1,
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_32,plain,
    ( r_1
    | ~ r ),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_58,plain,
    r_1,
    inference(demodulation,[status(thm),theory(equality)],[c_48,c_32]) ).

tff(c_12,plain,
    ( p_2
    | ~ r_1
    | ~ p_1 ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_82,plain,
    p_2,
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_58,c_12]) ).

tff(c_83,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_80,c_82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN003-1.006 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 16:55:53 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 2.24/1.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.24/1.51  
% 2.24/1.51  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.24/1.55  
% 2.24/1.55  Inference rules
% 2.24/1.55  ----------------------
% 2.24/1.55  #Ref     : 0
% 2.24/1.55  #Sup     : 0
% 2.24/1.55  #Fact    : 0
% 2.24/1.55  #Define  : 0
% 2.24/1.55  #Split   : 0
% 2.24/1.55  #Chain   : 0
% 2.24/1.55  #Close   : 0
% 2.24/1.55  
% 2.24/1.55  Ordering : KBO
% 2.24/1.55  
% 2.24/1.55  Simplification rules
% 2.24/1.55  ----------------------
% 2.24/1.55  #Subsume      : 23
% 2.24/1.55  #Demod        : 16
% 2.24/1.55  #Tautology    : 0
% 2.24/1.55  #SimpNegUnit  : 5
% 2.24/1.55  #BackRed      : 0
% 2.24/1.55  
% 2.24/1.55  #Partial instantiations: 0
% 2.24/1.55  #Strategies tried      : 1
% 2.24/1.55  
% 2.24/1.55  Timing (in seconds)
% 2.24/1.55  ----------------------
% 2.24/1.56  Preprocessing        : 0.40
% 2.24/1.56  Parsing              : 0.21
% 2.24/1.56  CNF conversion       : 0.02
% 2.24/1.56  Main loop            : 0.08
% 2.24/1.56  Inferencing          : 0.00
% 2.24/1.56  Reduction            : 0.04
% 2.24/1.56  Demodulation         : 0.03
% 2.24/1.56  BG Simplification    : 0.02
% 2.24/1.56  Subsumption          : 0.03
% 2.24/1.56  Abstraction          : 0.01
% 2.24/1.56  MUC search           : 0.00
% 2.24/1.56  Cooper               : 0.00
% 2.24/1.56  Total                : 0.54
% 2.24/1.56  Index Insertion      : 0.00
% 2.24/1.56  Index Deletion       : 0.00
% 2.24/1.56  Index Matching       : 0.00
% 2.24/1.56  BG Taut test         : 0.00
%------------------------------------------------------------------------------