TSTP Solution File: PUZ090^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ090^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 May 21 02:28:31 EDT 2024

% Result   : Theorem 0.17s 0.34s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   18 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  511 ( 139 equ)
%            Maximal formula atoms :   31 (  28 avg)
%            Number of connectives :  302 (  87   ~;  41   |; 109   &)
%                                         (   0 <=>;  65  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  278 ( 278 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  13 usr;  15 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f32,plain,
    $false,
    inference(subsumption_resolution,[],[f29,f31]) ).

tff(f31,plain,
    cFOGGY = $true,
    inference(subsumption_resolution,[],[f15,f30]) ).

tff(f30,plain,
    cSUNSHINE = $true,
    inference(trivial_inequality_removal,[],[f25]) ).

tff(f25,plain,
    ( ( $true != $true )
    | ( cSUNSHINE = $true ) ),
    inference(definition_unfolding,[],[f12,f14]) ).

tff(f14,plain,
    cEAST = $true,
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ( ( ( cOPEN_DOOR != $true )
      | ( cHEADACHE != $true ) )
    & ( ( cFOGGY != $true )
      | ( cOPEN_WINDOW != $true ) )
    & ( ( cFLUTE != $true )
      | ( cOPEN_DOOR != $true ) )
    & ( ( cFLUTE = $true )
      | ( cFOGGY != $true )
      | ( cCOLD != $true ) )
    & ( ( cEAST != $true )
      | ( cSMOKES = $true )
      | ( cGUSTY != $true ) )
    & ( cOPEN_WINDOW = $true )
    & ( ( cGUSTY = $true )
      | ( cRHEUMATIC != $true )
      | ( cFIRE != $true )
      | ( cOPEN_DOOR = $true ) )
    & ( ( cSUNSHINE != $true )
      | ( cFOGGY = $true ) )
    & ( cEAST = $true )
    & ( ( cSMOKE != $true )
      | ( cOPEN_DOOR = $true )
      | ( cFIRE != $true ) )
    & ( ( cSUNSHINE = $true )
      | ( cEAST != $true ) )
    & ( ( cRHEUMATIC = $true )
      | ( cEAST != $true )
      | ( cFOGGY != $true ) )
    & ( ( cRHEUMATIC != $true )
      | ( cFIRE = $true )
      | ( cCOLD != $true ) ) ),
    inference(flattening,[],[f8]) ).

tff(f8,plain,
    ( ( cOPEN_WINDOW = $true )
    & ( cEAST = $true )
    & ( ( cOPEN_DOOR = $true )
      | ( cFIRE != $true )
      | ( cSMOKE != $true ) )
    & ( ( cOPEN_DOOR != $true )
      | ( cHEADACHE != $true ) )
    & ( ( cSUNSHINE != $true )
      | ( cFOGGY = $true ) )
    & ( ( cFOGGY != $true )
      | ( cOPEN_WINDOW != $true ) )
    & ( ( cRHEUMATIC != $true )
      | ( cFIRE != $true )
      | ( cOPEN_DOOR = $true )
      | ( cGUSTY = $true ) )
    & ( ( cSUNSHINE = $true )
      | ( cEAST != $true ) )
    & ( ( cSMOKES = $true )
      | ( cEAST != $true )
      | ( cGUSTY != $true ) )
    & ( ( cRHEUMATIC = $true )
      | ( cEAST != $true )
      | ( cFOGGY != $true ) )
    & ( ( cFLUTE != $true )
      | ( cOPEN_DOOR != $true ) )
    & ( ( cFLUTE = $true )
      | ( cCOLD != $true )
      | ( cFOGGY != $true ) )
    & ( ( cFIRE = $true )
      | ( cCOLD != $true )
      | ( cRHEUMATIC != $true ) ) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ( ( ( ( ( cFIRE = $true )
            & ( cSMOKE = $true ) )
         => ( cOPEN_DOOR = $true ) )
        & ( ( cOPEN_DOOR = $true )
         => ( cHEADACHE != $true ) )
        & ( ( cSUNSHINE = $true )
         => ( cFOGGY = $true ) )
        & ( ( cFOGGY = $true )
         => ( cOPEN_WINDOW != $true ) )
        & ( ( ( cFIRE = $true )
            & ( cOPEN_DOOR != $true )
            & ( cGUSTY != $true ) )
         => ( cRHEUMATIC != $true ) )
        & ( ( cEAST = $true )
         => ( cSUNSHINE = $true ) )
        & ( ( ( cEAST = $true )
            & ( cGUSTY = $true ) )
         => ( cSMOKES = $true ) )
        & ( ( ( cEAST = $true )
            & ( cFOGGY = $true ) )
         => ( cRHEUMATIC = $true ) )
        & ( ( cFLUTE = $true )
         => ( cOPEN_DOOR != $true ) )
        & ( ( ( cCOLD = $true )
            & ( cFOGGY = $true ) )
         => ( cFLUTE = $true ) )
        & ( ( ( cCOLD = $true )
            & ( cRHEUMATIC = $true ) )
         => ( cFIRE = $true ) ) )
     => ( ( cEAST = $true )
       => ( cOPEN_WINDOW != $true ) ) ),
    inference(flattening,[],[f6]) ).

tff(f6,plain,
    ~ ( ( ( ( ( cCOLD = $true )
            & ( cFOGGY = $true ) )
         => ( cFLUTE = $true ) )
        & ( ( ( cFIRE = $true )
            & ( cSMOKE = $true ) )
         => ( cOPEN_DOOR = $true ) )
        & ( ( cEAST = $true )
         => ( cSUNSHINE = $true ) )
        & ( ( cOPEN_DOOR = $true )
         => ( cHEADACHE != $true ) )
        & ( ( cFOGGY = $true )
         => ( cOPEN_WINDOW != $true ) )
        & ( ( ( cEAST = $true )
            & ( cFOGGY = $true ) )
         => ( cRHEUMATIC = $true ) )
        & ( ( ( cCOLD = $true )
            & ( cRHEUMATIC = $true ) )
         => ( cFIRE = $true ) )
        & ( ( ( cEAST = $true )
            & ( cGUSTY = $true ) )
         => ( cSMOKES = $true ) )
        & ( ( ( cOPEN_DOOR != $true )
            & ( cGUSTY != $true )
            & ( cFIRE = $true ) )
         => ( cRHEUMATIC != $true ) )
        & ( ( cSUNSHINE = $true )
         => ( cFOGGY = $true ) )
        & ( ( cFLUTE = $true )
         => ( cOPEN_DOOR != $true ) ) )
     => ( ( cEAST = $true )
       => ( cOPEN_WINDOW != $true ) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ( ( ( ( cFOGGY
            & cCOLD )
         => cFLUTE )
        & ( ( cSMOKE
            & cFIRE )
         => cOPEN_DOOR )
        & ( cEAST
         => cSUNSHINE )
        & ( cOPEN_DOOR
         => ~ cHEADACHE )
        & ( cFOGGY
         => ~ cOPEN_WINDOW )
        & ( ( cFOGGY
            & cEAST )
         => cRHEUMATIC )
        & ( ( cCOLD
            & cRHEUMATIC )
         => cFIRE )
        & ( ( cGUSTY
            & cEAST )
         => cSMOKES )
        & ( ( ~ cOPEN_DOOR
            & ~ cGUSTY
            & cFIRE )
         => ~ cRHEUMATIC )
        & ( cSUNSHINE
         => cFOGGY )
        & ( cFLUTE
         => ~ cOPEN_DOOR ) )
     => ( cEAST
       => ~ cOPEN_WINDOW ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ( ( cFOGGY
            & cCOLD )
         => cFLUTE )
        & ( ( cSMOKE
            & cFIRE )
         => cOPEN_DOOR )
        & ( cEAST
         => cSUNSHINE )
        & ( cOPEN_DOOR
         => ~ cHEADACHE )
        & ( cFOGGY
         => ~ cOPEN_WINDOW )
        & ( ( cFOGGY
            & cEAST )
         => cRHEUMATIC )
        & ( ( cCOLD
            & cRHEUMATIC )
         => cFIRE )
        & ( ( cGUSTY
            & cEAST )
         => cSMOKES )
        & ( ( ~ cOPEN_DOOR
            & ~ cGUSTY
            & cFIRE )
         => ~ cRHEUMATIC )
        & ( cSUNSHINE
         => cFOGGY )
        & ( cFLUTE
         => ~ cOPEN_DOOR ) )
     => ( cEAST
       => ~ cOPEN_WINDOW ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( ( ( cFOGGY
          & cCOLD )
       => cFLUTE )
      & ( ( cSMOKE
          & cFIRE )
       => cOPEN_DOOR )
      & ( cEAST
       => cSUNSHINE )
      & ( cOPEN_DOOR
       => ~ cHEADACHE )
      & ( cFOGGY
       => ~ cOPEN_WINDOW )
      & ( ( cFOGGY
          & cEAST )
       => cRHEUMATIC )
      & ( ( cCOLD
          & cRHEUMATIC )
       => cFIRE )
      & ( ( cGUSTY
          & cEAST )
       => cSMOKES )
      & ( ( ~ cOPEN_DOOR
          & ~ cGUSTY
          & cFIRE )
       => ~ cRHEUMATIC )
      & ( cSUNSHINE
       => cFOGGY )
      & ( cFLUTE
       => ~ cOPEN_DOOR ) )
   => ( cEAST
     => ~ cOPEN_WINDOW ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM210) ).

tff(f12,plain,
    ( ( cSUNSHINE = $true )
    | ( cEAST != $true ) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f15,plain,
    ( ( cSUNSHINE != $true )
    | ( cFOGGY = $true ) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f29,plain,
    cFOGGY != $true,
    inference(trivial_inequality_removal,[],[f23]) ).

tff(f23,plain,
    ( ( $true != $true )
    | ( cFOGGY != $true ) ),
    inference(definition_unfolding,[],[f21,f17]) ).

tff(f17,plain,
    cOPEN_WINDOW = $true,
    inference(cnf_transformation,[],[f9]) ).

tff(f21,plain,
    ( ( cFOGGY != $true )
    | ( cOPEN_WINDOW != $true ) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : PUZ090^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat May 18 10:59:38 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a TH0_THM_NEQ_NAR problem
% 0.11/0.32  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.34  % (23765)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.17/0.34  % (23764)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.17/0.34  % (23768)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.17/0.34  % (23767)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.34  % (23766)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.34  % (23769)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.17/0.34  % (23763)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.17/0.34  % (23770)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.17/0.34  % (23766)First to succeed.
% 0.17/0.34  % (23764)Also succeeded, but the first one will report.
% 0.17/0.34  % (23763)Also succeeded, but the first one will report.
% 0.17/0.34  % (23766)Refutation found. Thanks to Tanya!
% 0.17/0.34  % SZS status Theorem for theBenchmark
% 0.17/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34  % (23766)------------------------------
% 0.17/0.34  % (23766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34  % (23766)Termination reason: Refutation
% 0.17/0.34  
% 0.17/0.34  % (23766)Memory used [KB]: 5500
% 0.17/0.34  % (23766)Time elapsed: 0.003 s
% 0.17/0.34  % (23766)Instructions burned: 1 (million)
% 0.17/0.34  % (23766)------------------------------
% 0.17/0.34  % (23766)------------------------------
% 0.17/0.34  % (23762)Success in time 0.003 s
% 0.17/0.34  % Vampire---4.8 exiting
%------------------------------------------------------------------------------