TSTP Solution File: CSR124^2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR124^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 05:03:37 EDT 2024

% Result   : Theorem 0.19s 0.39s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   58
% Syntax   : Number of formulae    :   75 (  19 unt;  54 typ;   0 def)
%            Number of atoms       :  236 (  15 equ;   0 cnn)
%            Maximal formula atoms :    2 (  11 avg)
%            Number of connectives :   13 (   8   ~;   2   |;   3   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  150 ( 149   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   61 (  58 usr;   6 con; 0-6 aty)
%            Number of variables   :    7 (   0   ^   1   !;   0   ?;   7   :)
%                                         (   6  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    num: $tType ).

thf(func_def_3,type,
    disjointRelation_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_4,type,
    disjoint_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_6,type,
    domainSubclass_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_7,type,
    domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(func_def_8,type,
    domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).

thf(func_def_9,type,
    domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).

thf(func_def_10,type,
    domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $i > $i > $o ).

thf(func_def_11,type,
    domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_12,type,
    domain_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(func_def_13,type,
    duration_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_16,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(func_def_17,type,
    instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).

thf(func_def_18,type,
    instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).

thf(func_def_19,type,
    instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).

thf(func_def_20,type,
    instance_THFTYPE_IIiiioIioI: ( $i > $i > $i > $o ) > $i > $o ).

thf(func_def_21,type,
    instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

thf(func_def_22,type,
    instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).

thf(func_def_23,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_27,type,
    lBeginFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_31,type,
    lCardinalityFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_34,type,
    lEndFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_40,type,
    lMeasureFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(func_def_52,type,
    lTemporalCompositionFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(func_def_60,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_62,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_66,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_67,type,
    located_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_68,type,
    meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_69,type,
    minus_THFTYPE_IiiiI: $i > $i > $i ).

thf(func_def_76,type,
    part_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_78,type,
    rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_79,type,
    range_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_80,type,
    relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(func_def_81,type,
    relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $o ).

thf(func_def_82,type,
    relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_84,type,
    subProcess_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_85,type,
    subclass_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_86,type,
    subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_87,type,
    subrelation_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_88,type,
    temporalPart_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_90,type,
    vNOT: $o > $o ).

thf(func_def_93,type,
    vAND: $o > $o > $o ).

thf(func_def_94,type,
    sK0: ( $i > $i > $o ) > $i ).

thf(func_def_95,type,
    sK1: ( $i > $i > $o ) > $i ).

thf(func_def_96,type,
    sK2: ( $i > $i > $o ) > $i ).

thf(func_def_97,type,
    sK3: ( $i > $i > $o ) > $i ).

thf(func_def_98,type,
    sK4: $i > $i > $i ).

thf(func_def_100,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_101,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_102,type,
    vOR: $o > $o > $o ).

thf(func_def_103,type,
    vIMP: $o > $o > $o ).

thf(func_def_104,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(f889,plain,
    $false,
    inference(trivial_inequality_removal,[],[f887]) ).

thf(f887,plain,
    $true = $false,
    inference(backward_demodulation,[],[f837,f886]) ).

thf(f886,plain,
    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $false,
    inference(trivial_inequality_removal,[],[f885]) ).

thf(f885,plain,
    ( ( $true != $true )
    | ( vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $false ) ),
    inference(superposition,[],[f855,f195]) ).

thf(f195,plain,
    ! [X0: $o] :
      ( ( $true = X0 )
      | ( $false = X0 ) ),
    introduced(fool_axiom,[]) ).

thf(f855,plain,
    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) != $true,
    inference(boolean_simplification,[],[f854]) ).

thf(f854,plain,
    $true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,$true),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))),
    inference(backward_demodulation,[],[f645,f690]) ).

thf(f690,plain,
    vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true,
    inference(cnf_transformation,[],[f271]) ).

thf(f271,plain,
    vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true,
    inference(fool_elimination,[],[f270]) ).

thf(f270,plain,
    vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i),
    inference(rectify,[],[f24]) ).

thf(f24,axiom,
    vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023) ).

thf(f645,plain,
    $true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))),
    inference(cnf_transformation,[],[f578]) ).

thf(f578,plain,
    $true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))),
    inference(flattening,[],[f197]) ).

thf(f197,plain,
    $true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))),
    inference(fool_elimination,[],[f196]) ).

thf(f196,plain,
    ~ vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),
        ( vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)
        & vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) )),
    inference(rectify,[],[f193]) ).

thf(f193,negated_conjecture,
    ~ vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),
        ( vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)
        & vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) )),
    inference(negated_conjecture,[],[f192]) ).

thf(f192,conjecture,
    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),
      ( vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)
      & vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) )),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(f837,plain,
    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $true,
    inference(cnf_transformation,[],[f565]) ).

thf(f565,plain,
    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $true,
    inference(fool_elimination,[],[f564]) ).

thf(f564,plain,
    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : CSR124^2 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 20:21:53 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (17590)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (17601)WARNING: value z3 for option sas not known
% 0.12/0.37  % (17602)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.37  % (17600)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.37  % (17603)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.37  % (17601)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.37  % (17599)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37  % (17604)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.37  % (17605)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.19/0.37  % (17605)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.38  % Exception at run slice level
% 0.19/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.38  % Exception at run slice level
% 0.19/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.38  % Exception at run slice level
% 0.19/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.39  % (17604)First to succeed.
% 0.19/0.39  % (17604)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17590"
% 0.19/0.39  % (17615)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.19/0.39  % (17616)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.19/0.39  % (17617)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.19/0.39  % (17604)Refutation found. Thanks to Tanya!
% 0.19/0.39  % SZS status Theorem for theBenchmark
% 0.19/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.39  % (17604)------------------------------
% 0.19/0.39  % (17604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.39  % (17604)Termination reason: Refutation
% 0.19/0.39  
% 0.19/0.39  % (17604)Memory used [KB]: 1262
% 0.19/0.39  % (17604)Time elapsed: 0.028 s
% 0.19/0.39  % (17604)Instructions burned: 58 (million)
% 0.19/0.39  % (17590)Success in time 0.049 s
%------------------------------------------------------------------------------