TSTP Solution File: KRS156+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS156+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.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 17:30:58 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   49 (  11 unt;   0 def)
%            Number of atoms       :  199 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  270 ( 120   ~; 108   |;  32   &)
%                                         (   6 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (  22   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1042,plain,
    $false,
    inference(subsumption_resolution,[],[f1041,f1040]) ).

fof(f1040,plain,
    ~ cC138(iV5475),
    inference(subsumption_resolution,[],[f1039,f1033]) ).

fof(f1033,plain,
    ( xsd_string(sK83)
    | ~ cC138(iV5475) ),
    inference(subsumption_resolution,[],[f1032,f1025]) ).

fof(f1025,plain,
    cC116(iV5475),
    inference(resolution,[],[f702,f697]) ).

fof(f697,plain,
    cTEST(iV5475),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,axiom,
    cTEST(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).

fof(f702,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC116(X0) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f251,plain,
    ! [X0] :
      ( ( cC116(X0)
        & cC140(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC116(X0)
        & cC140(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f128]) ).

fof(f128,axiom,
    ! [X0] :
      ( ( cC116(X0)
        & cC140(X0) )
    <=> cTEST(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).

fof(f1032,plain,
    ( ~ cC116(iV5475)
    | xsd_string(sK83)
    | ~ cC138(iV5475) ),
    inference(subsumption_resolution,[],[f1031,f991]) ).

fof(f991,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( cowlThing(X0)
      & ~ cowlNothing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f1031,plain,
    ( ~ cowlThing(sK84)
    | ~ cC138(iV5475)
    | ~ cC116(iV5475)
    | xsd_string(sK83) ),
    inference(subsumption_resolution,[],[f1030,f1024]) ).

fof(f1024,plain,
    cC140(iV5475),
    inference(resolution,[],[f701,f697]) ).

fof(f701,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC140(X0) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f1030,plain,
    ( ~ cC140(iV5475)
    | ~ cC138(iV5475)
    | xsd_string(sK83)
    | ~ cC116(iV5475)
    | ~ cowlThing(sK84) ),
    inference(duplicate_literal_removal,[],[f1029]) ).

fof(f1029,plain,
    ( ~ cowlThing(sK84)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | xsd_string(sK83)
    | ~ cC140(iV5475)
    | xsd_string(sK83) ),
    inference(resolution,[],[f882,f1021]) ).

fof(f1021,plain,
    ( ~ xsd_integer(sK83)
    | ~ cC138(iV5475)
    | ~ cowlThing(sK84)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | xsd_string(sK83) ),
    inference(subsumption_resolution,[],[f1019,f965]) ).

fof(f965,plain,
    cowlThing(iV5475),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,axiom,
    cowlThing(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).

fof(f1019,plain,
    ( ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(sK84)
    | xsd_string(sK83)
    | ~ xsd_integer(sK83)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475) ),
    inference(resolution,[],[f990,f981]) ).

fof(f981,plain,
    ( cowlNothing(sK84)
    | ~ cowlThing(iV5475)
    | ~ xsd_integer(sK83)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475)
    | xsd_string(sK83)
    | ~ cowlThing(sK84)
    | ~ cC116(iV5475) ),
    inference(cnf_transformation,[],[f644]) ).

fof(f644,plain,
    ( ( ( ~ xsd_string(sK83)
        | xsd_integer(sK83) )
      & ( xsd_string(sK83)
        | ~ xsd_integer(sK83) ) )
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | cowlNothing(sK84)
    | ~ cowlThing(sK84)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84])],[f641,f643,f642]) ).

fof(f642,plain,
    ( ? [X0] :
        ( ( ~ xsd_string(X0)
          | xsd_integer(X0) )
        & ( xsd_string(X0)
          | ~ xsd_integer(X0) ) )
   => ( ( ~ xsd_string(sK83)
        | xsd_integer(sK83) )
      & ( xsd_string(sK83)
        | ~ xsd_integer(sK83) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f643,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK84)
      | ~ cowlThing(sK84) ) ),
    introduced(choice_axiom,[]) ).

fof(f641,plain,
    ( ? [X0] :
        ( ( ~ xsd_string(X0)
          | xsd_integer(X0) )
        & ( xsd_string(X0)
          | ~ xsd_integer(X0) ) )
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475) ),
    inference(nnf_transformation,[],[f256]) ).

fof(f256,plain,
    ( ? [X0] :
        ( ~ xsd_integer(X0)
      <~> xsd_string(X0) )
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475) ),
    inference(ennf_transformation,[],[f213]) ).

fof(f213,plain,
    ~ ( cC140(iV5475)
      & cowlThing(iV5475)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & cC138(iV5475)
      & ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & cC116(iV5475) ),
    inference(rectify,[],[f147]) ).

fof(f147,negated_conjecture,
    ~ ( cC140(iV5475)
      & cC138(iV5475)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & cC116(iV5475)
      & cowlThing(iV5475)
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f146]) ).

fof(f146,conjecture,
    ( cC140(iV5475)
    & cC138(iV5475)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & cC116(iV5475)
    & cowlThing(iV5475)
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f990,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f882,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f520]) ).

fof(f520,plain,
    ! [X0] :
      ( ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) )
      & ( xsd_string(X0)
        | xsd_integer(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ xsd_integer(X0)
    <=> xsd_string(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f1039,plain,
    ( ~ xsd_string(sK83)
    | ~ cC138(iV5475) ),
    inference(subsumption_resolution,[],[f1038,f1024]) ).

fof(f1038,plain,
    ( ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | ~ xsd_string(sK83) ),
    inference(subsumption_resolution,[],[f1037,f991]) ).

fof(f1037,plain,
    ( ~ cowlThing(sK84)
    | ~ xsd_string(sK83)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475) ),
    inference(subsumption_resolution,[],[f1036,f1025]) ).

fof(f1036,plain,
    ( ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing(sK84)
    | ~ cC140(iV5475)
    | ~ xsd_string(sK83) ),
    inference(duplicate_literal_removal,[],[f1034]) ).

fof(f1034,plain,
    ( ~ cC140(iV5475)
    | ~ xsd_string(sK83)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ xsd_string(sK83)
    | ~ cowlThing(sK84) ),
    inference(resolution,[],[f883,f1020]) ).

fof(f1020,plain,
    ( xsd_integer(sK83)
    | ~ cC116(iV5475)
    | ~ cowlThing(sK84)
    | ~ xsd_string(sK83)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475) ),
    inference(subsumption_resolution,[],[f1018,f965]) ).

fof(f1018,plain,
    ( ~ xsd_string(sK83)
    | xsd_integer(sK83)
    | ~ cowlThing(sK84)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(resolution,[],[f990,f982]) ).

fof(f982,plain,
    ( cowlNothing(sK84)
    | ~ xsd_string(sK83)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cowlThing(sK84)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | xsd_integer(sK83) ),
    inference(cnf_transformation,[],[f644]) ).

fof(f883,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f520]) ).

fof(f1041,plain,
    cC138(iV5475),
    inference(resolution,[],[f933,f1024]) ).

fof(f933,plain,
    ! [X0] :
      ( ~ cC140(X0)
      | cC138(X0) ),
    inference(cnf_transformation,[],[f588]) ).

fof(f588,plain,
    ! [X0] :
      ( ( ( cC138(X0)
          & cTOP(X0) )
        | ~ cC140(X0) )
      & ( cC140(X0)
        | ~ cC138(X0)
        | ~ cTOP(X0) ) ),
    inference(flattening,[],[f587]) ).

fof(f587,plain,
    ! [X0] :
      ( ( ( cC138(X0)
          & cTOP(X0) )
        | ~ cC140(X0) )
      & ( cC140(X0)
        | ~ cC138(X0)
        | ~ cTOP(X0) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( ( cC138(X0)
        & cTOP(X0) )
    <=> cC140(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS156+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n018.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   : Tue Aug 30 00:39:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (3529)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  % (3548)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (3533)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (3551)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51  % (3543)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (3536)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (3535)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (3547)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (3551)First to succeed.
% 0.19/0.52  % (3536)Instruction limit reached!
% 0.19/0.52  % (3536)------------------------------
% 0.19/0.52  % (3536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3534)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (3557)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (3541)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (3551)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (3551)------------------------------
% 0.19/0.53  % (3551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3551)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (3551)Memory used [KB]: 1535
% 0.19/0.53  % (3551)Time elapsed: 0.076 s
% 0.19/0.53  % (3551)Instructions burned: 10 (million)
% 0.19/0.53  % (3551)------------------------------
% 0.19/0.53  % (3551)------------------------------
% 0.19/0.53  % (3528)Success in time 0.182 s
%------------------------------------------------------------------------------