TSTP Solution File: GEO146-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO146-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : 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 10:38:17 EDT 2023

% Result   : Unsatisfiable 20.96s 8.61s
% Output   : CNFRefutation 20.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   54
% Syntax   : Number of formulae    :   72 (   8 unt;  49 typ;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   98 (  46   >;  52   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-4 aty)
%            Number of functors    :   34 (  34 usr;   3 con; 0-5 aty)
%            Number of variables   :   31 (;  31   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ between_o > between_c > ordered_by > meet > connect > start_point > part_of > inner_point > incident_o > incident_c > finish_point > end_point > open > once > closed > ax2_sk5 > ax2_sk4 > ax1_sk1 > ax2_sk7 > ax0_sk5 > ax0_sk2 > sum > ax3_sk2 > ax2_sk9 > ax2_sk8 > ax2_sk2 > ax2_sk10 > ax2_sk1 > ax0_sk9 > ax0_sk4 > ax0_sk3 > ax0_sk13 > ax0_sk12 > ax0_sk11 > ax0_sk10 > ax0_sk1 > at_the_same_time > at > #nlpp > underlying_curve > trajectory_of > ax3_sk1 > ax2_sk6 > ax2_sk3 > ax0_sk8 > ax0_sk7 > ax0_sk6 > sk29 > sk28 > sk27

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(ax2_sk6,type,
    ax2_sk6: $i > $i ).

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

tff(underlying_curve,type,
    underlying_curve: $i > $i ).

tff(ax2_sk10,type,
    ax2_sk10: ( $i * $i ) > $i ).

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

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

tff(ax0_sk8,type,
    ax0_sk8: $i > $i ).

tff(ax0_sk9,type,
    ax0_sk9: ( $i * $i ) > $i ).

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

tff(trajectory_of,type,
    trajectory_of: $i > $i ).

tff(sk29,type,
    sk29: $i ).

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

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

tff(ax2_sk1,type,
    ax2_sk1: ( $i * $i ) > $i ).

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

tff(ax0_sk12,type,
    ax0_sk12: ( $i * $i ) > $i ).

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

tff(ax0_sk13,type,
    ax0_sk13: ( $i * $i ) > $i ).

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

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

tff(sk27,type,
    sk27: $i ).

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

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

tff(ax2_sk7,type,
    ax2_sk7: ( $i * $i * $i ) > $i ).

tff(ax0_sk4,type,
    ax0_sk4: ( $i * $i ) > $i ).

tff(ax2_sk4,type,
    ax2_sk4: ( $i * $i * $i * $i ) > $i ).

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

tff(ax2_sk9,type,
    ax2_sk9: ( $i * $i ) > $i ).

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

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

tff(sk28,type,
    sk28: $i ).

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

tff(ax2_sk2,type,
    ax2_sk2: ( $i * $i ) > $i ).

tff(ax3_sk2,type,
    ax3_sk2: ( $i * $i ) > $i ).

tff(ax0_sk11,type,
    ax0_sk11: ( $i * $i ) > $i ).

tff(ax2_sk5,type,
    ax2_sk5: ( $i * $i * $i * $i * $i ) > $i ).

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

tff(ax0_sk1,type,
    ax0_sk1: ( $i * $i ) > $i ).

tff(ax0_sk2,type,
    ax0_sk2: ( $i * $i * $i ) > $i ).

tff(ax0_sk7,type,
    ax0_sk7: $i > $i ).

tff(ax3_sk1,type,
    ax3_sk1: $i > $i ).

tff(ax0_sk10,type,
    ax0_sk10: ( $i * $i ) > $i ).

tff(ax1_sk1,type,
    ax1_sk1: ( $i * $i * $i * $i ) > $i ).

tff(ax2_sk8,type,
    ax2_sk8: ( $i * $i ) > $i ).

tff(ax2_sk3,type,
    ax2_sk3: $i > $i ).

tff(ax0_sk3,type,
    ax0_sk3: ( $i * $i ) > $i ).

tff(ax0_sk5,type,
    ax0_sk5: ( $i * $i * $i ) > $i ).

tff(ax0_sk6,type,
    ax0_sk6: $i > $i ).

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

tff(f_945,axiom,
    ( connect(sk27,sk28,sk29)
    | connect(sk28,sk27,sk29) ),
    file(unknown,unknown) ).

tff(f_958,axiom,
    ( ~ connect(sk28,sk27,sk29)
    | ~ connect(sk27,sk28,sk29) ),
    file(unknown,unknown) ).

tff(f_871,axiom,
    ! [A,B,C] :
      ( ~ connect(A,B,C)
      | once(at_the_same_time(at(A,C),at(B,C))) ),
    file(unknown,unknown) ).

tff(f_886,axiom,
    ! [A,B] :
      ( ~ once(at_the_same_time(A,B))
      | once(at_the_same_time(B,A)) ),
    file(unknown,unknown) ).

tff(f_876,axiom,
    ! [A,B,C] :
      ( ~ once(at_the_same_time(at(A,B),at(C,B)))
      | connect(A,C,B) ),
    file(unknown,unknown) ).

tff(c_222,plain,
    ( connect(sk28,sk27,sk29)
    | connect(sk27,sk28,sk29) ),
    inference(cnfTransformation,[status(thm)],[f_945]) ).

tff(c_355,plain,
    connect(sk27,sk28,sk29),
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_228,plain,
    ( ~ connect(sk27,sk28,sk29)
    | ~ connect(sk28,sk27,sk29) ),
    inference(cnfTransformation,[status(thm)],[f_958]) ).

tff(c_399,plain,
    ~ connect(sk28,sk27,sk29),
    inference(demodulation,[status(thm),theory(equality)],[c_355,c_228]) ).

tff(c_1269,plain,
    ! [A_540,C_541,B_542] :
      ( once(at_the_same_time(at(A_540,C_541),at(B_542,C_541)))
      | ~ connect(A_540,B_542,C_541) ),
    inference(cnfTransformation,[status(thm)],[f_871]) ).

tff(c_200,plain,
    ! [B_286,A_285] :
      ( once(at_the_same_time(B_286,A_285))
      | ~ once(at_the_same_time(A_285,B_286)) ),
    inference(cnfTransformation,[status(thm)],[f_886]) ).

tff(c_123661,plain,
    ! [B_70623,C_70624,A_70625] :
      ( once(at_the_same_time(at(B_70623,C_70624),at(A_70625,C_70624)))
      | ~ connect(A_70625,B_70623,C_70624) ),
    inference(resolution,[status(thm)],[c_1269,c_200]) ).

tff(c_196,plain,
    ! [A_280,C_282,B_281] :
      ( connect(A_280,C_282,B_281)
      | ~ once(at_the_same_time(at(A_280,B_281),at(C_282,B_281))) ),
    inference(cnfTransformation,[status(thm)],[f_876]) ).

tff(c_124670,plain,
    ! [B_70818,A_70819,C_70820] :
      ( connect(B_70818,A_70819,C_70820)
      | ~ connect(A_70819,B_70818,C_70820) ),
    inference(resolution,[status(thm)],[c_123661,c_196]) ).

tff(c_124696,plain,
    connect(sk28,sk27,sk29),
    inference(resolution,[status(thm)],[c_355,c_124670]) ).

tff(c_124719,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_399,c_124696]) ).

tff(c_124721,plain,
    ~ connect(sk27,sk28,sk29),
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_124720,plain,
    connect(sk28,sk27,sk29),
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_125829,plain,
    ! [A_71235,C_71236,B_71237] :
      ( once(at_the_same_time(at(A_71235,C_71236),at(B_71237,C_71236)))
      | ~ connect(A_71235,B_71237,C_71236) ),
    inference(cnfTransformation,[status(thm)],[f_871]) ).

tff(c_127320,plain,
    ! [B_71453,C_71454,A_71455] :
      ( once(at_the_same_time(at(B_71453,C_71454),at(A_71455,C_71454)))
      | ~ connect(A_71455,B_71453,C_71454) ),
    inference(resolution,[status(thm)],[c_125829,c_200]) ).

tff(c_127342,plain,
    ! [B_71456,A_71457,C_71458] :
      ( connect(B_71456,A_71457,C_71458)
      | ~ connect(A_71457,B_71456,C_71458) ),
    inference(resolution,[status(thm)],[c_127320,c_196]) ).

tff(c_127364,plain,
    connect(sk27,sk28,sk29),
    inference(resolution,[status(thm)],[c_124720,c_127342]) ).

tff(c_127385,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_124721,c_127364]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GEO146-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % 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
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug  4 00:52:21 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 20.96/8.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.96/8.62  
% 20.96/8.62  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.96/8.64  
% 20.96/8.64  Inference rules
% 20.96/8.64  ----------------------
% 20.96/8.64  #Ref     : 0
% 20.96/8.64  #Sup     : 23234
% 20.96/8.64  #Fact    : 16
% 20.96/8.64  #Define  : 0
% 20.96/8.64  #Split   : 1
% 20.96/8.64  #Chain   : 0
% 20.96/8.64  #Close   : 0
% 20.96/8.64  
% 20.96/8.64  Ordering : KBO
% 20.96/8.64  
% 20.96/8.64  Simplification rules
% 20.96/8.64  ----------------------
% 20.96/8.64  #Subsume      : 7992
% 20.96/8.65  #Demod        : 4208
% 20.96/8.65  #Tautology    : 2422
% 20.96/8.65  #SimpNegUnit  : 6
% 20.96/8.65  #BackRed      : 0
% 20.96/8.65  
% 20.96/8.65  #Partial instantiations: 37026
% 20.96/8.65  #Strategies tried      : 1
% 20.96/8.65  
% 20.96/8.65  Timing (in seconds)
% 20.96/8.65  ----------------------
% 20.96/8.65  Preprocessing        : 0.72
% 20.96/8.65  Parsing              : 0.38
% 20.96/8.65  CNF conversion       : 0.06
% 20.96/8.65  Main loop            : 6.85
% 20.96/8.65  Inferencing          : 1.83
% 20.96/8.65  Reduction            : 1.93
% 20.96/8.65  Demodulation         : 1.38
% 20.96/8.65  BG Simplification    : 0.14
% 20.96/8.65  Subsumption          : 2.63
% 20.96/8.65  Abstraction          : 0.14
% 20.96/8.65  MUC search           : 0.00
% 20.96/8.65  Cooper               : 0.00
% 20.96/8.65  Total                : 7.62
% 20.96/8.65  Index Insertion      : 0.00
% 20.96/8.65  Index Deletion       : 0.00
% 20.96/8.65  Index Matching       : 0.00
% 20.96/8.65  BG Taut test         : 0.00
%------------------------------------------------------------------------------