TSTP Solution File: PLA002-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PLA002-2 : 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 : n006.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 10:53:34 EDT 2023

% Result   : Unsatisfiable 4.06s 1.99s
% Output   : CNFRefutation 4.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   72 (   8 unt;  16 typ;   0 def)
%            Number of atoms       :  142 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  194 ( 108   ~;  86   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   9   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   59 (;  59   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ at > warm > situation > cold > walk > skate > go > drive > climb > #nlpp > s0 > f > e > d > c > b > a

%Foreground sorts:

%Background operators:

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

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

tff(s0,type,
    s0: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_162,axiom,
    situation(s0),
    file(unknown,unknown) ).

tff(f_188,axiom,
    at(f,s0),
    file(unknown,unknown) ).

tff(f_187,axiom,
    ! [Situation,Somewhere] :
      ( ~ situation(Situation)
      | situation(go(Somewhere,Situation)) ),
    file(unknown,unknown) ).

tff(f_161,axiom,
    ! [Situation] :
      ( ~ at(f,Situation)
      | at(d,go(d,Situation))
      | ~ situation(Situation) ),
    file(unknown,unknown) ).

tff(f_129,axiom,
    ! [Situation] :
      ( ~ at(d,Situation)
      | at(c,go(c,Situation))
      | ~ situation(Situation) ),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [Situation1,Situation2] :
      ( warm(Situation1)
      | cold(Situation2)
      | ~ situation(Situation1)
      | ~ situation(Situation2) ),
    file(unknown,unknown) ).

tff(f_121,axiom,
    ! [Situation] :
      ( ~ at(c,Situation)
      | at(d,go(d,Situation))
      | ~ situation(Situation) ),
    file(unknown,unknown) ).

tff(f_177,axiom,
    ! [Situation,Somewhere] :
      ( ~ situation(Situation)
      | situation(climb(Somewhere,Situation)) ),
    file(unknown,unknown) ).

tff(f_113,axiom,
    ! [Situation] :
      ( ~ warm(Situation)
      | ~ at(d,Situation)
      | at(b,climb(b,Situation))
      | ~ situation(Situation) ),
    file(unknown,unknown) ).

tff(f_167,axiom,
    ! [Situation,Somewhere] :
      ( ~ situation(Situation)
      | situation(walk(Somewhere,Situation)) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ! [Situation] :
      ( ~ at(b,Situation)
      | at(a,walk(a,Situation))
      | ~ situation(Situation) ),
    file(unknown,unknown) ).

tff(f_194,axiom,
    ! [S] :
      ( ~ at(a,S)
      | ~ situation(S) ),
    file(unknown,unknown) ).

tff(f_182,axiom,
    ! [Situation,Somewhere] :
      ( ~ situation(Situation)
      | situation(skate(Somewhere,Situation)) ),
    file(unknown,unknown) ).

tff(f_91,axiom,
    ! [Situation] :
      ( ~ cold(Situation)
      | ~ at(c,Situation)
      | at(b,skate(b,Situation))
      | ~ situation(Situation) ),
    file(unknown,unknown) ).

tff(c_32,plain,
    situation(s0),
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_44,plain,
    at(f,s0),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_42,plain,
    ! [Somewhere_26,Situation_25] :
      ( situation(go(Somewhere_26,Situation_25))
      | ~ situation(Situation_25) ),
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_30,plain,
    ! [Situation_16] :
      ( ~ situation(Situation_16)
      | at(d,go(d,Situation_16))
      | ~ at(f,Situation_16) ),
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_22,plain,
    ! [Situation_12] :
      ( ~ situation(Situation_12)
      | at(c,go(c,Situation_12))
      | ~ at(d,Situation_12) ),
    inference(cnfTransformation,[status(thm)],[f_129]) ).

tff(c_2,plain,
    ! [Situation2_2,Situation1_1] :
      ( ~ situation(Situation2_2)
      | ~ situation(Situation1_1)
      | cold(Situation2_2)
      | warm(Situation1_1) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_53,plain,
    ! [Situation1_1] :
      ( ~ situation(Situation1_1)
      | warm(Situation1_1) ),
    inference(splitLeft,[status(thm)],[c_2]) ).

tff(c_20,plain,
    ! [Situation_11] :
      ( ~ situation(Situation_11)
      | at(d,go(d,Situation_11))
      | ~ at(c,Situation_11) ),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_38,plain,
    ! [Somewhere_22,Situation_21] :
      ( situation(climb(Somewhere_22,Situation_21))
      | ~ situation(Situation_21) ),
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_93,plain,
    ! [Situation_52] :
      ( ~ situation(Situation_52)
      | at(b,climb(b,Situation_52))
      | ~ at(d,Situation_52)
      | ~ warm(Situation_52) ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_34,plain,
    ! [Somewhere_18,Situation_17] :
      ( situation(walk(Somewhere_18,Situation_17))
      | ~ situation(Situation_17) ),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_60,plain,
    ! [Situation_45] :
      ( ~ situation(Situation_45)
      | at(a,walk(a,Situation_45))
      | ~ at(b,Situation_45) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_46,plain,
    ! [S_27] :
      ( ~ situation(S_27)
      | ~ at(a,S_27) ),
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_65,plain,
    ! [Situation_46] :
      ( ~ situation(walk(a,Situation_46))
      | ~ situation(Situation_46)
      | ~ at(b,Situation_46) ),
    inference(resolution,[status(thm)],[c_60,c_46]) ).

tff(c_70,plain,
    ! [Situation_17] :
      ( ~ at(b,Situation_17)
      | ~ situation(Situation_17) ),
    inference(resolution,[status(thm)],[c_34,c_65]) ).

tff(c_98,plain,
    ! [Situation_53] :
      ( ~ situation(climb(b,Situation_53))
      | ~ situation(Situation_53)
      | ~ at(d,Situation_53)
      | ~ warm(Situation_53) ),
    inference(resolution,[status(thm)],[c_93,c_70]) ).

tff(c_104,plain,
    ! [Situation_54] :
      ( ~ at(d,Situation_54)
      | ~ warm(Situation_54)
      | ~ situation(Situation_54) ),
    inference(resolution,[status(thm)],[c_38,c_98]) ).

tff(c_120,plain,
    ! [Situation_57] :
      ( ~ warm(go(d,Situation_57))
      | ~ situation(go(d,Situation_57))
      | ~ situation(Situation_57)
      | ~ at(c,Situation_57) ),
    inference(resolution,[status(thm)],[c_20,c_104]) ).

tff(c_125,plain,
    ! [Situation_58] :
      ( ~ situation(Situation_58)
      | ~ at(c,Situation_58)
      | ~ situation(go(d,Situation_58)) ),
    inference(resolution,[status(thm)],[c_53,c_120]) ).

tff(c_131,plain,
    ! [Situation_59] :
      ( ~ at(c,Situation_59)
      | ~ situation(Situation_59) ),
    inference(resolution,[status(thm)],[c_42,c_125]) ).

tff(c_140,plain,
    ! [Situation_60] :
      ( ~ situation(go(c,Situation_60))
      | ~ situation(Situation_60)
      | ~ at(d,Situation_60) ),
    inference(resolution,[status(thm)],[c_22,c_131]) ).

tff(c_146,plain,
    ! [Situation_61] :
      ( ~ at(d,Situation_61)
      | ~ situation(Situation_61) ),
    inference(resolution,[status(thm)],[c_42,c_140]) ).

tff(c_158,plain,
    ! [Situation_64] :
      ( ~ situation(go(d,Situation_64))
      | ~ situation(Situation_64)
      | ~ at(f,Situation_64) ),
    inference(resolution,[status(thm)],[c_30,c_146]) ).

tff(c_164,plain,
    ! [Situation_65] :
      ( ~ at(f,Situation_65)
      | ~ situation(Situation_65) ),
    inference(resolution,[status(thm)],[c_42,c_158]) ).

tff(c_167,plain,
    ~ situation(s0),
    inference(resolution,[status(thm)],[c_44,c_164]) ).

tff(c_171,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_167]) ).

tff(c_173,plain,
    ! [Situation2_66] :
      ( ~ situation(Situation2_66)
      | cold(Situation2_66) ),
    inference(splitRight,[status(thm)],[c_2]) ).

tff(c_194,plain,
    ! [Somewhere_26,Situation_25] :
      ( cold(go(Somewhere_26,Situation_25))
      | ~ situation(Situation_25) ),
    inference(resolution,[status(thm)],[c_42,c_173]) ).

tff(c_40,plain,
    ! [Somewhere_24,Situation_23] :
      ( situation(skate(Somewhere_24,Situation_23))
      | ~ situation(Situation_23) ),
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_226,plain,
    ! [Situation_87] :
      ( ~ situation(Situation_87)
      | at(b,skate(b,Situation_87))
      | ~ at(c,Situation_87)
      | ~ cold(Situation_87) ),
    inference(cnfTransformation,[status(thm)],[f_91]) ).

tff(c_201,plain,
    ! [Situation_73] :
      ( ~ situation(Situation_73)
      | at(a,walk(a,Situation_73))
      | ~ at(b,Situation_73) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_208,plain,
    ! [Situation_78] :
      ( ~ situation(walk(a,Situation_78))
      | ~ situation(Situation_78)
      | ~ at(b,Situation_78) ),
    inference(resolution,[status(thm)],[c_201,c_46]) ).

tff(c_213,plain,
    ! [Situation_17] :
      ( ~ at(b,Situation_17)
      | ~ situation(Situation_17) ),
    inference(resolution,[status(thm)],[c_34,c_208]) ).

tff(c_246,plain,
    ! [Situation_90] :
      ( ~ situation(skate(b,Situation_90))
      | ~ situation(Situation_90)
      | ~ at(c,Situation_90)
      | ~ cold(Situation_90) ),
    inference(resolution,[status(thm)],[c_226,c_213]) ).

tff(c_252,plain,
    ! [Situation_91] :
      ( ~ at(c,Situation_91)
      | ~ cold(Situation_91)
      | ~ situation(Situation_91) ),
    inference(resolution,[status(thm)],[c_40,c_246]) ).

tff(c_261,plain,
    ! [Situation_92] :
      ( ~ cold(go(c,Situation_92))
      | ~ situation(go(c,Situation_92))
      | ~ situation(Situation_92)
      | ~ at(d,Situation_92) ),
    inference(resolution,[status(thm)],[c_22,c_252]) ).

tff(c_267,plain,
    ! [Situation_93] :
      ( ~ cold(go(c,Situation_93))
      | ~ at(d,Situation_93)
      | ~ situation(Situation_93) ),
    inference(resolution,[status(thm)],[c_42,c_261]) ).

tff(c_273,plain,
    ! [Situation_94] :
      ( ~ at(d,Situation_94)
      | ~ situation(Situation_94) ),
    inference(resolution,[status(thm)],[c_194,c_267]) ).

tff(c_282,plain,
    ! [Situation_95] :
      ( ~ situation(go(d,Situation_95))
      | ~ situation(Situation_95)
      | ~ at(f,Situation_95) ),
    inference(resolution,[status(thm)],[c_30,c_273]) ).

tff(c_288,plain,
    ! [Situation_96] :
      ( ~ at(f,Situation_96)
      | ~ situation(Situation_96) ),
    inference(resolution,[status(thm)],[c_42,c_282]) ).

tff(c_291,plain,
    ~ situation(s0),
    inference(resolution,[status(thm)],[c_44,c_288]) ).

tff(c_295,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_291]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PLA002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % 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
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 18:15:28 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 4.06/1.99  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.06/2.00  
% 4.06/2.00  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.06/2.03  
% 4.06/2.03  Inference rules
% 4.06/2.03  ----------------------
% 4.06/2.03  #Ref     : 0
% 4.06/2.03  #Sup     : 42
% 4.06/2.03  #Fact    : 0
% 4.06/2.03  #Define  : 0
% 4.06/2.03  #Split   : 1
% 4.06/2.03  #Chain   : 0
% 4.06/2.03  #Close   : 0
% 4.06/2.03  
% 4.06/2.03  Ordering : KBO
% 4.06/2.03  
% 4.06/2.03  Simplification rules
% 4.06/2.03  ----------------------
% 4.06/2.03  #Subsume      : 43
% 4.06/2.03  #Demod        : 2
% 4.06/2.03  #Tautology    : 0
% 4.06/2.03  #SimpNegUnit  : 0
% 4.06/2.03  #BackRed      : 0
% 4.06/2.03  
% 4.06/2.03  #Partial instantiations: 0
% 4.06/2.03  #Strategies tried      : 1
% 4.06/2.03  
% 4.06/2.03  Timing (in seconds)
% 4.06/2.03  ----------------------
% 4.06/2.04  Preprocessing        : 0.49
% 4.06/2.04  Parsing              : 0.27
% 4.06/2.04  CNF conversion       : 0.03
% 4.06/2.04  Main loop            : 0.39
% 4.06/2.04  Inferencing          : 0.19
% 4.06/2.04  Reduction            : 0.08
% 4.06/2.04  Demodulation         : 0.05
% 4.06/2.04  BG Simplification    : 0.02
% 4.06/2.04  Subsumption          : 0.08
% 4.06/2.04  Abstraction          : 0.01
% 4.06/2.04  MUC search           : 0.00
% 4.06/2.04  Cooper               : 0.00
% 4.06/2.04  Total                : 0.94
% 4.06/2.04  Index Insertion      : 0.00
% 4.06/2.04  Index Deletion       : 0.00
% 4.06/2.04  Index Matching       : 0.00
% 4.06/2.04  BG Taut test         : 0.00
%------------------------------------------------------------------------------