TSTP Solution File: CSR062+2 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : CSR062+2 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% 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 : Mon Jun 24 05:38:28 EDT 2024

% Result   : Theorem 1.45s 0.59s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   57 (  13 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   91 (  39   ~;  34   |;   3   &)
%                                         (   3 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   54 (  51   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9558,plain,
    $false,
    inference(avatar_sat_refutation,[],[f4682,f8521,f8522,f9557]) ).

fof(f9557,plain,
    spl0_59,
    inference(avatar_contradiction_clause,[],[f9556]) ).

fof(f9556,plain,
    ( $false
    | spl0_59 ),
    inference(subsumption_resolution,[],[f4681,f8931]) ).

fof(f8931,plain,
    ! [X0] : tptptypes_8_390(c_pushingwithfingers,X0),
    inference(resolution,[],[f6978,f6973]) ).

fof(f6973,plain,
    ! [X0] : tptptypes_6_388(X0,c_pushingwithfingers),
    inference(resolution,[],[f4363,f3727]) ).

fof(f3727,plain,
    ! [X0] : tptptypes_5_387(X0,c_pushingwithfingers),
    inference(consistent_polarity_flipping,[],[f2687]) ).

fof(f2687,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[],[f1889]) ).

fof(f1889,plain,
    ! [X0] :
      ( ~ tptptypes_5_387(X0,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(ennf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ~ ? [X0] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(X0,c_pushingwithfingers) ),
    inference(rectify,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ? [X4] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(X4,c_pushingwithfingers) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ? [X4] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(X4,c_pushingwithfingers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4363,plain,
    ! [X0,X1] :
      ( ~ tptptypes_5_387(X0,X1)
      | tptptypes_6_388(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f3625]) ).

fof(f3625,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_388(X0,X1)
      | tptptypes_5_387(X0,X1) ),
    inference(cnf_transformation,[],[f2556]) ).

fof(f2556,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(ennf_transformation,[],[f1655]) ).

fof(f1655,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
     => tptptypes_5_387(X0,X1) ),
    inference(rectify,[],[f99]) ).

fof(f99,axiom,
    ! [X4,X5] :
      ( tptptypes_6_388(X4,X5)
     => tptptypes_5_387(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6978,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_388(X0,X1)
      | tptptypes_8_390(X1,X0) ),
    inference(resolution,[],[f4364,f4357]) ).

fof(f4357,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | tptptypes_8_390(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f3618]) ).

fof(f3618,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_390(X0,X1)
      | tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[],[f2549]) ).

fof(f2549,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | ~ tptptypes_8_390(X0,X1) ),
    inference(ennf_transformation,[],[f1643]) ).

fof(f1643,plain,
    ! [X0,X1] :
      ( tptptypes_8_390(X0,X1)
     => tptptypes_7_389(X0,X1) ),
    inference(rectify,[],[f61]) ).

fof(f61,axiom,
    ! [X4,X5] :
      ( tptptypes_8_390(X4,X5)
     => tptptypes_7_389(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4364,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_389(X0,X1)
      | ~ tptptypes_6_388(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f3626]) ).

fof(f3626,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_389(X0,X1)
      | tptptypes_6_388(X1,X0) ),
    inference(cnf_transformation,[],[f2557]) ).

fof(f2557,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(ennf_transformation,[],[f1656]) ).

fof(f1656,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
     => tptptypes_6_388(X1,X0) ),
    inference(rectify,[],[f302]) ).

fof(f302,axiom,
    ! [X4,X5] :
      ( tptptypes_7_389(X4,X5)
     => tptptypes_6_388(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4681,plain,
    ( ~ tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f4679]) ).

fof(f4679,plain,
    ( spl0_59
  <=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f8522,plain,
    ( spl0_62
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f8492,f4664,f4693]) ).

fof(f4693,plain,
    ( spl0_62
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f4664,plain,
    ( spl0_56
  <=> mtvisible(c_cyclistsmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f8492,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ spl0_56 ),
    inference(resolution,[],[f7071,f2799]) ).

fof(f2799,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f254]) ).

fof(f254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7071,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_cyclistsmt)
        | mtvisible(X0) )
    | ~ spl0_56 ),
    inference(resolution,[],[f4388,f4666]) ).

fof(f4666,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f4664]) ).

fof(f4388,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X1)
      | ~ genlmt(X0,X1)
      | mtvisible(X0) ),
    inference(consistent_polarity_flipping,[],[f3680]) ).

fof(f3680,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f2612]) ).

fof(f2612,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f2611]) ).

fof(f2611,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f1717]) ).

fof(f1717,plain,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f1123]) ).

fof(f1123,axiom,
    ! [X19,X20] :
      ( ( genlmt(X19,X20)
        & mtvisible(X19) )
     => mtvisible(X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f8521,plain,
    ~ spl0_62,
    inference(avatar_contradiction_clause,[],[f8520]) ).

fof(f8520,plain,
    ( $false
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f8509,f3728]) ).

fof(f3728,plain,
    ~ mtvisible(c_tptp_member3205_mt),
    inference(consistent_polarity_flipping,[],[f2686]) ).

fof(f2686,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[],[f1889]) ).

fof(f8509,plain,
    ( mtvisible(c_tptp_member3205_mt)
    | ~ spl0_62 ),
    inference(resolution,[],[f7072,f2773]) ).

fof(f2773,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7072,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_tptp_spindleheadmt)
        | mtvisible(X0) )
    | ~ spl0_62 ),
    inference(resolution,[],[f4388,f4695]) ).

fof(f4695,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f4693]) ).

fof(f4682,plain,
    ( ~ spl0_59
    | spl0_56 ),
    inference(avatar_split_clause,[],[f3787,f4664,f4679]) ).

fof(f3787,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(consistent_polarity_flipping,[],[f3001]) ).

fof(f3001,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(cnf_transformation,[],[f1929]) ).

fof(f1929,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f460]) ).

fof(f460,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CSR062+2 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.13  % Command    : run_vampire %s %d SAT
% 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   : Wed Jun 19 21:55:39 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.13/0.36  Running first-order model finding
% 0.13/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.45  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (32758)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.45  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (32757)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.45  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (32760)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.45  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (32755)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.45  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (32759)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.45  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (32756)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.45  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (32761)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.49  TRYING [1]
% 0.21/0.50  % (32759)Instruction limit reached!
% 0.21/0.50  % (32759)------------------------------
% 0.21/0.50  % (32759)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50  % (32759)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50  % (32759)Termination reason: Time limit
% 0.21/0.50  % (32759)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (32759)Memory used [KB]: 3982
% 0.21/0.50  % (32759)Time elapsed: 0.049 s
% 0.21/0.50  % (32759)Instructions burned: 106 (million)
% 0.21/0.50  TRYING [2]
% 0.21/0.50  % (32761)Instruction limit reached!
% 0.21/0.50  % (32761)------------------------------
% 0.21/0.50  % (32761)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50  % (32761)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50  % (32761)Termination reason: Time limit
% 0.21/0.50  % (32761)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (32761)Memory used [KB]: 3281
% 0.21/0.50  % (32761)Time elapsed: 0.054 s
% 0.21/0.50  % (32761)Instructions burned: 115 (million)
% 0.21/0.51  TRYING [3]
% 0.21/0.52  % (32760)Instruction limit reached!
% 0.21/0.52  % (32760)------------------------------
% 0.21/0.52  % (32760)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.52  % (32760)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.52  % (32760)Termination reason: Time limit
% 0.21/0.52  % (32760)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (32760)Memory used [KB]: 4361
% 0.21/0.52  % (32760)Time elapsed: 0.072 s
% 0.21/0.52  % (32760)Instructions burned: 147 (million)
% 0.21/0.53  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (32762)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.21/0.54  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54  % (32763)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.54  TRYING [4]
% 0.21/0.54  TRYING [10]
% 0.21/0.55  % (32754)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.55  % (32764)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.45/0.59  % (32762)First to succeed.
% 1.45/0.59  % (32762)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32754"
% 1.45/0.59  % (32754)Running in auto input_syntax mode. Trying TPTP
% 1.45/0.59  % (32762)Refutation found. Thanks to Tanya!
% 1.45/0.59  % SZS status Theorem for theBenchmark
% 1.45/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.59  % (32762)------------------------------
% 1.45/0.59  % (32762)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.45/0.59  % (32762)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.45/0.59  % (32762)Termination reason: Refutation
% 1.45/0.59  
% 1.45/0.59  % (32762)Memory used [KB]: 4180
% 1.45/0.59  % (32762)Time elapsed: 0.058 s
% 1.45/0.59  % (32762)Instructions burned: 170 (million)
% 1.45/0.59  % (32762)------------------------------
% 1.45/0.59  % (32762)------------------------------
% 1.45/0.59  % (32754)Success in time 0.192 s
%------------------------------------------------------------------------------