TSTP Solution File: MSC003-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MSC003-1 : 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 : n005.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 10:49:47 EDT 2023

% Result   : Unsatisfiable 2.74s 1.74s
% Output   : CNFRefutation 3.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   34 (   8 unt;  13 typ;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  21   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (   4   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-5 aty)
%            Number of variables   :   30 (;  30   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ has_parts > in > object_in > times > #nlpp > n5 > n2 > n1 > john > human > hand > fingers > boy > arm

%Foreground sorts:

%Background operators:

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

tff(object_in,type,
    object_in: ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff(n1,type,
    n1: $i ).

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

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

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

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

tff(n2,type,
    n2: $i ).

tff(n5,type,
    n5: $i ).

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

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

tff(f_39,axiom,
    in(john,boy),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [X] :
      ( in(X,human)
      | ~ in(X,boy) ),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ! [X] :
      ( has_parts(X,n2,arm)
      | ~ in(X,human) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ~ has_parts(john,times(n2,n1),hand),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [Mid_part,Number_of_mid_parts,Number_of_small_parts,Big_part,Small_part] :
      ( in(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Mid_part)
      | has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part)
      | ~ has_parts(Big_part,Number_of_mid_parts,Mid_part) ),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ! [X] :
      ( has_parts(X,n1,hand)
      | ~ in(X,arm) ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ! [Mid_part,Number_of_mid_parts,Number_of_small_parts,Big_part,Small_part] :
      ( has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part)
      | ~ has_parts(Big_part,Number_of_mid_parts,Mid_part)
      | ~ has_parts(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Number_of_small_parts,Small_part) ),
    file(unknown,unknown) ).

tff(c_6,plain,
    in(john,boy),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_8,plain,
    ! [X_11] :
      ( ~ in(X_11,boy)
      | in(X_11,human) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_12,plain,
    ! [X_13] :
      ( ~ in(X_13,human)
      | has_parts(X_13,n2,arm) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_16,plain,
    ~ has_parts(john,times(n2,n1),hand),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_21,plain,
    ! [Mid_part_21,Number_of_mid_parts_23,Big_part_19,Number_of_small_parts_22,Small_part_20] :
      ( ~ has_parts(Big_part_19,Number_of_mid_parts_23,Mid_part_21)
      | has_parts(Big_part_19,times(Number_of_mid_parts_23,Number_of_small_parts_22),Small_part_20)
      | in(object_in(Big_part_19,Mid_part_21,Small_part_20,Number_of_mid_parts_23,Number_of_small_parts_22),Mid_part_21) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_25,plain,
    ! [Mid_part_21] :
      ( ~ has_parts(john,n2,Mid_part_21)
      | in(object_in(john,Mid_part_21,hand,n2,n1),Mid_part_21) ),
    inference(resolution,[status(thm)],[c_21,c_16]) ).

tff(c_14,plain,
    ! [X_14] :
      ( ~ in(X_14,arm)
      | has_parts(X_14,n1,hand) ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_27,plain,
    ! [Number_of_small_parts_26,Small_part_29,Mid_part_25,Big_part_28,Number_of_mid_parts_27] :
      ( ~ has_parts(object_in(Big_part_28,Mid_part_25,Small_part_29,Number_of_mid_parts_27,Number_of_small_parts_26),Number_of_small_parts_26,Small_part_29)
      | ~ has_parts(Big_part_28,Number_of_mid_parts_27,Mid_part_25)
      | has_parts(Big_part_28,times(Number_of_mid_parts_27,Number_of_small_parts_26),Small_part_29) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_54,plain,
    ! [Big_part_33,Number_of_mid_parts_34,Mid_part_35] :
      ( ~ has_parts(Big_part_33,Number_of_mid_parts_34,Mid_part_35)
      | has_parts(Big_part_33,times(Number_of_mid_parts_34,n1),hand)
      | ~ in(object_in(Big_part_33,Mid_part_35,hand,Number_of_mid_parts_34,n1),arm) ),
    inference(resolution,[status(thm)],[c_14,c_27]) ).

tff(c_57,plain,
    ( has_parts(john,times(n2,n1),hand)
    | ~ has_parts(john,n2,arm) ),
    inference(resolution,[status(thm)],[c_25,c_54]) ).

tff(c_61,plain,
    ~ has_parts(john,n2,arm),
    inference(negUnitSimplification,[status(thm)],[c_16,c_57]) ).

tff(c_65,plain,
    ~ in(john,human),
    inference(resolution,[status(thm)],[c_12,c_61]) ).

tff(c_68,plain,
    ~ in(john,boy),
    inference(resolution,[status(thm)],[c_8,c_65]) ).

tff(c_72,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MSC003-1 : 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
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 13:07:56 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 2.74/1.74  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/1.74  
% 3.04/1.74  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.04/1.77  
% 3.04/1.77  Inference rules
% 3.04/1.77  ----------------------
% 3.04/1.77  #Ref     : 0
% 3.04/1.77  #Sup     : 9
% 3.04/1.77  #Fact    : 0
% 3.04/1.77  #Define  : 0
% 3.04/1.77  #Split   : 0
% 3.04/1.77  #Chain   : 0
% 3.04/1.77  #Close   : 0
% 3.04/1.77  
% 3.04/1.77  Ordering : KBO
% 3.04/1.77  
% 3.04/1.77  Simplification rules
% 3.04/1.77  ----------------------
% 3.04/1.77  #Subsume      : 0
% 3.04/1.77  #Demod        : 1
% 3.04/1.77  #Tautology    : 0
% 3.04/1.77  #SimpNegUnit  : 1
% 3.04/1.77  #BackRed      : 0
% 3.04/1.77  
% 3.04/1.77  #Partial instantiations: 0
% 3.04/1.77  #Strategies tried      : 1
% 3.04/1.77  
% 3.04/1.77  Timing (in seconds)
% 3.04/1.77  ----------------------
% 3.04/1.78  Preprocessing        : 0.43
% 3.04/1.78  Parsing              : 0.24
% 3.04/1.78  CNF conversion       : 0.02
% 3.04/1.78  Main loop            : 0.22
% 3.04/1.78  Inferencing          : 0.11
% 3.04/1.78  Reduction            : 0.04
% 3.04/1.78  Demodulation         : 0.03
% 3.04/1.78  BG Simplification    : 0.01
% 3.04/1.78  Subsumption          : 0.04
% 3.04/1.78  Abstraction          : 0.01
% 3.04/1.78  MUC search           : 0.00
% 3.04/1.78  Cooper               : 0.00
% 3.04/1.78  Total                : 0.71
% 3.04/1.78  Index Insertion      : 0.00
% 3.04/1.78  Index Deletion       : 0.00
% 3.04/1.78  Index Matching       : 0.00
% 3.04/1.78  BG Taut test         : 0.00
%------------------------------------------------------------------------------