TSTP Solution File: CSR070+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CSR070+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n013.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 : Wed Aug 31 15:55:14 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   81 (  17 unt;   0 def)
%            Number of atoms       :  158 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  131 (  54   ~;  51   |;   5   &)
%                                         (   5 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   6 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-3 aty)
%            Number of variables   :   77 (  77   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1816,plain,
    $false,
    inference(avatar_sat_refutation,[],[f286,f339,f524,f687,f1557,f1815]) ).

fof(f1815,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f1814]) ).

fof(f1814,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f1219,f276]) ).

fof(f276,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(negated_conjecture,[],[f80]) ).

fof(f80,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query70) ).

fof(f1219,plain,
    ( tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_1 ),
    inference(resolution,[],[f713,f238]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_818(X1,X0)
      | tptptypes_5_802(X1,X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( tptptypes_5_802(X1,X0)
      | ~ tptptypes_6_818(X1,X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X1,X0] :
      ( tptptypes_6_818(X1,X0)
     => tptptypes_5_802(X1,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0] :
      ( tptptypes_6_818(X0,X1)
     => tptptypes_5_802(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(f713,plain,
    ( tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_1 ),
    inference(resolution,[],[f395,f254]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_819(X1,X0)
      | tptptypes_6_818(X1,X0) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( tptptypes_6_818(X1,X0)
      | ~ tptptypes_7_819(X1,X0) ),
    inference(rectify,[],[f198]) ).

fof(f198,plain,
    ! [X1,X0] :
      ( tptptypes_6_818(X0,X1)
      | ~ tptptypes_7_819(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
     => tptptypes_6_818(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f395,plain,
    ( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_1 ),
    inference(resolution,[],[f384,f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_823(X1,X0)
      | tptptypes_7_819(X1,X0) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_823(X1,X0)
      | tptptypes_7_819(X1,X0) ),
    inference(rectify,[],[f169]) ).

fof(f169,plain,
    ! [X1,X0] :
      ( ~ tptptypes_8_823(X0,X1)
      | tptptypes_7_819(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0] :
      ( tptptypes_8_823(X0,X1)
     => tptptypes_7_819(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(f384,plain,
    ( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_1 ),
    inference(resolution,[],[f271,f281]) ).

fof(f281,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl0_1
  <=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X1,X0)
      | tptptypes_8_823(X1,X0) ),
    inference(cnf_transformation,[],[f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X1,X0)
      | tptptypes_8_823(X1,X0) ),
    inference(rectify,[],[f202]) ).

fof(f202,plain,
    ! [X1,X0] :
      ( ~ tptptypes_9_824(X0,X1)
      | tptptypes_8_823(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X0] :
      ( tptptypes_9_824(X0,X1)
     => tptptypes_8_823(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

fof(f1557,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f1549,f504]) ).

fof(f504,plain,
    ( spl0_22
  <=> microtheory(c_tptp_spindlecollectormt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1549,plain,
    microtheory(c_tptp_spindlecollectormt),
    inference(resolution,[],[f1080,f249]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | microtheory(X0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( microtheory(X0)
      | ~ genlmt(X0,X1) ),
    inference(rectify,[],[f206]) ).

fof(f206,plain,
    ! [X1,X0] :
      ( microtheory(X1)
      | ~ genlmt(X1,X0) ),
    inference(ennf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( genlmt(X1,X0)
     => microtheory(X1) ),
    inference(rectify,[],[f60]) ).

fof(f60,axiom,
    ! [X1,X8] :
      ( genlmt(X8,X1)
     => microtheory(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).

fof(f1080,plain,
    genlmt(c_tptp_spindlecollectormt,c_cyclistsmt),
    inference(resolution,[],[f645,f228]) ).

fof(f228,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).

fof(f645,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_tptp_member3993_mt)
      | genlmt(X0,c_cyclistsmt) ),
    inference(resolution,[],[f486,f262]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( ~ genlmt(X2,X0)
      | genlmt(X1,X0)
      | ~ genlmt(X1,X2) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ! [X0,X1,X2] :
      ( ~ genlmt(X2,X0)
      | genlmt(X1,X0)
      | ~ genlmt(X1,X2) ),
    inference(rectify,[],[f201]) ).

fof(f201,plain,
    ! [X2,X1,X0] :
      ( ~ genlmt(X0,X2)
      | genlmt(X1,X2)
      | ~ genlmt(X1,X0) ),
    inference(flattening,[],[f200]) ).

fof(f200,plain,
    ! [X1,X2,X0] :
      ( genlmt(X1,X2)
      | ~ genlmt(X0,X2)
      | ~ genlmt(X1,X0) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X1,X2,X0] :
      ( ( genlmt(X0,X2)
        & genlmt(X1,X0) )
     => genlmt(X1,X2) ),
    inference(rectify,[],[f62]) ).

fof(f62,axiom,
    ! [X12,X11,X16] :
      ( ( genlmt(X11,X12)
        & genlmt(X12,X16) )
     => genlmt(X11,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).

fof(f486,plain,
    genlmt(c_tptp_member3993_mt,c_cyclistsmt),
    inference(resolution,[],[f391,f273]) ).

fof(f273,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).

fof(f391,plain,
    ! [X8] :
      ( ~ genlmt(X8,c_tptp_spindleheadmt)
      | genlmt(X8,c_cyclistsmt) ),
    inference(resolution,[],[f262,f274]) ).

fof(f274,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

fof(f687,plain,
    ( spl0_2
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f685,f520,f333,f283]) ).

fof(f283,plain,
    ( spl0_2
  <=> mtvisible(c_tptp_member2668_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f333,plain,
    ( spl0_10
  <=> mtvisible(c_tptp_spindlecollectormt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f520,plain,
    ( spl0_23
  <=> genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f685,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2668_mt)
    | ~ spl0_23 ),
    inference(resolution,[],[f522,f259]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | mtvisible(X1)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f172]) ).

fof(f172,plain,
    ! [X1,X0] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X1,X0] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X14,X15] :
      ( ( mtvisible(X14)
        & genlmt(X14,X15) )
     => mtvisible(X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

fof(f522,plain,
    ( genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f524,plain,
    ( spl0_23
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f517,f504,f520]) ).

fof(f517,plain,
    ( ~ microtheory(c_tptp_spindlecollectormt)
    | genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ),
    inference(resolution,[],[f393,f250]) ).

fof(f250,plain,
    ! [X0] :
      ( genlmt(X0,X0)
      | ~ microtheory(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( genlmt(X0,X0)
      | ~ microtheory(X0) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( microtheory(X0)
     => genlmt(X0,X0) ),
    inference(rectify,[],[f63]) ).

fof(f63,axiom,
    ! [X11] :
      ( microtheory(X11)
     => genlmt(X11,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).

fof(f393,plain,
    ! [X10] :
      ( ~ genlmt(X10,c_tptp_spindlecollectormt)
      | genlmt(X10,c_tptp_member2668_mt) ),
    inference(resolution,[],[f262,f270]) ).

fof(f270,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

fof(f339,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f335,f275]) ).

fof(f275,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f175]) ).

fof(f335,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f286,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f233,f283,f279]) ).

fof(f233,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : CSR070+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 18:49:17 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (17529)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54  % (17529)Refutation not found, incomplete strategy% (17529)------------------------------
% 0.19/0.54  % (17529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (17529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (17529)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (17529)Memory used [KB]: 5884
% 0.19/0.54  % (17529)Time elapsed: 0.124 s
% 0.19/0.54  % (17529)Instructions burned: 2 (million)
% 0.19/0.54  % (17529)------------------------------
% 0.19/0.54  % (17529)------------------------------
% 0.19/0.55  % (17545)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.55  % (17537)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56  % (17545)First to succeed.
% 0.19/0.56  % (17537)Instruction limit reached!
% 0.19/0.56  % (17537)------------------------------
% 0.19/0.56  % (17537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (17537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (17537)Termination reason: Unknown
% 0.19/0.56  % (17537)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (17537)Memory used [KB]: 6012
% 0.19/0.56  % (17537)Time elapsed: 0.145 s
% 0.19/0.56  % (17537)Instructions burned: 3 (million)
% 0.19/0.56  % (17537)------------------------------
% 0.19/0.56  % (17537)------------------------------
% 0.19/0.56  % (17545)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Theorem for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (17545)------------------------------
% 0.19/0.57  % (17545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (17545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (17545)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (17545)Memory used [KB]: 6652
% 0.19/0.57  % (17545)Time elapsed: 0.148 s
% 0.19/0.57  % (17545)Instructions burned: 12 (million)
% 0.19/0.57  % (17545)------------------------------
% 0.19/0.57  % (17545)------------------------------
% 0.19/0.57  % (17521)Success in time 0.214 s
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