TSTP Solution File: CSR065+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR065+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 05:00:32 EDT 2024

% Result   : Theorem 0.20s 0.38s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   37 (  17 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   51 (  22   ~;  19   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f260,plain,
    $false,
    inference(subsumption_resolution,[],[f259,f157]) ).

fof(f157,plain,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(negated_conjecture,[],[f57]) ).

fof(f57,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query65) ).

fof(f259,plain,
    tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(resolution,[],[f258,f254]) ).

fof(f254,plain,
    ridgeline_topographical(c_tptpridgeline_topographical),
    inference(resolution,[],[f252,f168]) ).

fof(f168,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ridgeline_topographical(c_tptpridgeline_topographical) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f252,plain,
    mtvisible(c_cyclistsmt),
    inference(resolution,[],[f251,f241]) ).

fof(f241,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(resolution,[],[f187,f164]) ).

fof(f164,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X15,X16] :
      ( ( genlmt(X15,X16)
        & mtvisible(X15) )
     => mtvisible(X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).

fof(f251,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(subsumption_resolution,[],[f247,f249]) ).

fof(f249,plain,
    mtvisible(c_tptp_member3993_mt),
    inference(subsumption_resolution,[],[f243,f156]) ).

fof(f156,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f122]) ).

fof(f243,plain,
    ( mtvisible(c_tptp_member3993_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[],[f187,f165]) ).

fof(f165,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

fof(f247,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3993_mt) ),
    inference(resolution,[],[f187,f163]) ).

fof(f163,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

fof(f258,plain,
    ! [X0] :
      ( ~ ridgeline_topographical(X0)
      | tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
    inference(subsumption_resolution,[],[f177,f250]) ).

fof(f250,plain,
    mtvisible(c_tptp_member235_mt),
    inference(subsumption_resolution,[],[f244,f156]) ).

fof(f244,plain,
    ( mtvisible(c_tptp_member235_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[],[f187,f167]) ).

fof(f167,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

fof(f177,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(X0)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(X0)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(X0)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ( ridgeline_topographical(X0)
        & mtvisible(c_tptp_member235_mt) )
     => tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR065+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n002.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   : Fri May  3 20:05:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (18362)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38  % (18371)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.38  % (18367)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38  % (18370)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.38  % (18368)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.38  % (18369)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.38  % (18366)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38  % (18372)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.38  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.38  Detected maximum model sizes of [9,1,1,max,max,max,max,max,max,max,max,max]
% 0.20/0.38  Detected maximum model sizes of [9,1,1,max,max,max,max,max,max,max,max,max]
% 0.20/0.38  % (18370)First to succeed.
% 0.20/0.38  TRYING [1]
% 0.20/0.38  % (18368)Also succeeded, but the first one will report.
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.38  % (18370)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18362"
% 0.20/0.38  TRYING [2,1,1,2,1,1,1,1,1,1,1,1]
% 0.20/0.38  TRYING [2,1,1,2,1,1,1,1,1,1,1,1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  % (18371)Also succeeded, but the first one will report.
% 0.20/0.38  TRYING [3,1,1,3,1,1,1,1,1,1,1,1]
% 0.20/0.38  TRYING [3,1,1,3,1,1,1,1,1,1,1,1]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  % (18370)Refutation found. Thanks to Tanya!
% 0.20/0.38  % SZS status Theorem for theBenchmark
% 0.20/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38  % (18370)------------------------------
% 0.20/0.38  % (18370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38  % (18370)Termination reason: Refutation
% 0.20/0.38  
% 0.20/0.38  % (18370)Memory used [KB]: 838
% 0.20/0.38  % (18370)Time elapsed: 0.005 s
% 0.20/0.38  % (18370)Instructions burned: 4 (million)
% 0.20/0.38  % (18362)Success in time 0.022 s
%------------------------------------------------------------------------------