TSTP Solution File: SYN088-1.010 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN088-1.010 : 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 : n013.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 11:09:35 EDT 2023

% Result   : Unsatisfiable 2.79s 1.61s
% Output   : CNFRefutation 2.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   39 (  23 unt;  13 typ;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :   61 (  32   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  11   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-10 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   20 (;  20   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p > q_9 > q_8 > q_7 > q_6 > q_5 > q_4 > q_3 > q_2 > q_10 > q_1 > #nlpp > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(q_8,type,
    q_8: $i > $o ).

tff(q_10,type,
    q_10: $i > $o ).

tff(q_6,type,
    q_6: $i > $o ).

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

tff(p,type,
    p: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

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

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

tff(q_7,type,
    q_7: $i > $o ).

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

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

tff(q_5,type,
    q_5: $i > $o ).

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

tff(q_9,type,
    q_9: $i > $o ).

tff(f_57,axiom,
    q_1(a),
    file(unknown,unknown) ).

tff(f_59,axiom,
    q_2(a),
    file(unknown,unknown) ).

tff(f_61,axiom,
    q_3(a),
    file(unknown,unknown) ).

tff(f_63,axiom,
    q_4(a),
    file(unknown,unknown) ).

tff(f_65,axiom,
    q_5(a),
    file(unknown,unknown) ).

tff(f_67,axiom,
    q_6(a),
    file(unknown,unknown) ).

tff(f_69,axiom,
    q_7(a),
    file(unknown,unknown) ).

tff(f_71,axiom,
    q_8(a),
    file(unknown,unknown) ).

tff(f_73,axiom,
    q_9(a),
    file(unknown,unknown) ).

tff(f_75,axiom,
    q_10(a),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ! [X_3,X_8,X_4,X_9,X_2,X_6,X_7,X_5,X_10,X_1] :
      ( p(X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10)
      | ~ q_1(X_1)
      | ~ q_2(X_2)
      | ~ q_3(X_3)
      | ~ q_4(X_4)
      | ~ q_5(X_5)
      | ~ q_6(X_6)
      | ~ q_7(X_7)
      | ~ q_8(X_8)
      | ~ q_9(X_9)
      | ~ q_10(X_10) ),
    file(unknown,unknown) ).

tff(f_24,axiom,
    ~ p(a,a,a,a,a,a,a,a,a,a),
    file(unknown,unknown) ).

tff(c_6,plain,
    q_1(a),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_10,plain,
    q_2(a),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_14,plain,
    q_3(a),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_18,plain,
    q_4(a),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_22,plain,
    q_5(a),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_26,plain,
    q_6(a),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_30,plain,
    q_7(a),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_34,plain,
    q_8(a),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_38,plain,
    q_9(a),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_42,plain,
    q_10(a),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_45,plain,
    ! [X_9_15,X_2_19,X_3_13,X_8_18,X_4_17,X_6_20,X_10_14,X_7_16,X_1_11,X_5_12] :
      ( ~ q_10(X_10_14)
      | ~ q_9(X_9_15)
      | ~ q_8(X_8_18)
      | ~ q_7(X_7_16)
      | ~ q_6(X_6_20)
      | ~ q_5(X_5_12)
      | ~ q_4(X_4_17)
      | ~ q_3(X_3_13)
      | ~ q_2(X_2_19)
      | ~ q_1(X_1_11)
      | p(X_1_11,X_2_19,X_3_13,X_4_17,X_5_12,X_6_20,X_7_16,X_8_18,X_9_15,X_10_14) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_2,plain,
    ~ p(a,a,a,a,a,a,a,a,a,a),
    inference(cnfTransformation,[status(thm)],[f_24]) ).

tff(c_48,plain,
    ( ~ q_10(a)
    | ~ q_9(a)
    | ~ q_8(a)
    | ~ q_7(a)
    | ~ q_6(a)
    | ~ q_5(a)
    | ~ q_4(a)
    | ~ q_3(a)
    | ~ q_2(a)
    | ~ q_1(a) ),
    inference(resolution,[status(thm)],[c_45,c_2]) ).

tff(c_52,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_10,c_14,c_18,c_22,c_26,c_30,c_34,c_38,c_42,c_48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN088-1.010 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug  3 17:29:32 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 2.79/1.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/1.61  
% 2.80/1.61  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.80/1.64  
% 2.80/1.64  Inference rules
% 2.80/1.64  ----------------------
% 2.80/1.64  #Ref     : 0
% 2.80/1.64  #Sup     : 1
% 2.80/1.64  #Fact    : 0
% 2.80/1.64  #Define  : 0
% 2.80/1.64  #Split   : 0
% 2.80/1.64  #Chain   : 0
% 2.80/1.64  #Close   : 0
% 2.80/1.64  
% 2.80/1.64  Ordering : KBO
% 2.80/1.64  
% 2.80/1.64  Simplification rules
% 2.80/1.64  ----------------------
% 2.80/1.64  #Subsume      : 0
% 2.80/1.64  #Demod        : 10
% 2.80/1.64  #Tautology    : 0
% 2.80/1.64  #SimpNegUnit  : 0
% 2.80/1.64  #BackRed      : 0
% 2.80/1.64  
% 2.80/1.64  #Partial instantiations: 0
% 2.80/1.64  #Strategies tried      : 1
% 2.80/1.64  
% 2.80/1.64  Timing (in seconds)
% 2.80/1.64  ----------------------
% 2.80/1.64  Preprocessing        : 0.40
% 2.80/1.64  Parsing              : 0.22
% 2.80/1.64  CNF conversion       : 0.02
% 2.80/1.64  Main loop            : 0.22
% 2.80/1.64  Inferencing          : 0.10
% 2.80/1.64  Reduction            : 0.06
% 2.80/1.64  Demodulation         : 0.04
% 2.80/1.64  BG Simplification    : 0.02
% 2.80/1.64  Subsumption          : 0.03
% 2.80/1.64  Abstraction          : 0.01
% 2.80/1.64  MUC search           : 0.00
% 2.80/1.64  Cooper               : 0.00
% 2.80/1.64  Total                : 0.66
% 2.80/1.64  Index Insertion      : 0.00
% 2.80/1.64  Index Deletion       : 0.00
% 2.80/1.64  Index Matching       : 0.00
% 2.80/1.64  BG Taut test         : 0.00
%------------------------------------------------------------------------------