TSTP Solution File: KRS015-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS015-1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 May 20 23:21:40 EDT 2024

% Result   : Unsatisfiable 0.18s 0.35s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  12 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  23   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(subsumption_resolution,[],[f59,f30]) ).

fof(f30,plain,
    t2least(u4r4(exist)),
    inference(resolution,[],[f29,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ c(X0)
      | t2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f29,plain,
    c(u4r4(exist)),
    inference(subsumption_resolution,[],[f28,f1]) ).

fof(f1,axiom,
    e(exist),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f28,plain,
    ( c(u4r4(exist))
    | ~ e(exist) ),
    inference(resolution,[],[f18,f27]) ).

fof(f27,plain,
    r(exist,u4r4(exist)),
    inference(resolution,[],[f14,f1]) ).

fof(f14,axiom,
    ! [X0] :
      ( ~ e(X0)
      | r(X0,u4r4(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).

fof(f18,axiom,
    ! [X2,X0] :
      ( ~ r(X0,X2)
      | c(X2)
      | ~ e(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).

fof(f59,plain,
    ~ t2least(u4r4(exist)),
    inference(resolution,[],[f55,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ equalish(u1r2(X0),u1r1(X0))
      | ~ t2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f55,plain,
    equalish(u1r2(u4r4(exist)),u1r1(u4r4(exist))),
    inference(resolution,[],[f50,f31]) ).

fof(f31,plain,
    t(u4r4(exist),u1r2(u4r4(exist))),
    inference(resolution,[],[f30,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ t2least(X0)
      | t(X0,u1r2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f50,plain,
    ! [X0] :
      ( ~ t(u4r4(exist),X0)
      | equalish(X0,u1r1(u4r4(exist))) ),
    inference(subsumption_resolution,[],[f48,f38]) ).

fof(f38,plain,
    t1most(u4r4(exist)),
    inference(resolution,[],[f37,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ d(X0)
      | t1most(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

fof(f37,plain,
    d(u4r4(exist)),
    inference(subsumption_resolution,[],[f36,f1]) ).

fof(f36,plain,
    ( d(u4r4(exist))
    | ~ e(exist) ),
    inference(resolution,[],[f35,f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ~ s(X0,X1)
      | d(X1)
      | ~ e(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).

fof(f35,plain,
    s(exist,u4r4(exist)),
    inference(subsumption_resolution,[],[f34,f1]) ).

fof(f34,plain,
    ( ~ e(exist)
    | s(exist,u4r4(exist)) ),
    inference(resolution,[],[f15,f27]) ).

fof(f15,axiom,
    ! [X3,X0] :
      ( ~ r(X0,X3)
      | ~ e(X0)
      | s(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).

fof(f48,plain,
    ! [X0] :
      ( ~ t1most(u4r4(exist))
      | ~ t(u4r4(exist),X0)
      | equalish(X0,u1r1(u4r4(exist))) ),
    inference(resolution,[],[f10,f32]) ).

fof(f32,plain,
    t(u4r4(exist),u1r1(u4r4(exist))),
    inference(resolution,[],[f30,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ t2least(X0)
      | t(X0,u1r1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ t(X0,X2)
      | ~ t1most(X0)
      | ~ t(X0,X1)
      | equalish(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : KRS015-1 : TPTP v8.2.0. Released v2.0.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.32  % Computer : n011.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Sat May 18 21:59:38 EDT 2024
% 0.18/0.33  % CPUTime    : 
% 0.18/0.33  % (9420)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35  % (9422)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.35  % (9421)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.35  % (9424)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.35  % (9423)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)
% 0.18/0.35  % (9425)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.35  % (9426)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.35  % (9427)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)
% 0.18/0.35  % (9425)First to succeed.
% 0.18/0.35  TRYING [1,1,1]
% 0.18/0.35  TRYING [1,1,1]
% 0.18/0.35  TRYING [1]
% 0.18/0.35  % (9423)Also succeeded, but the first one will report.
% 0.18/0.35  % (9425)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9420"
% 0.18/0.35  TRYING [1]
% 0.18/0.35  % (9426)Also succeeded, but the first one will report.
% 0.18/0.35  TRYING [2,2,1]
% 0.18/0.35  TRYING [2,2,1]
% 0.18/0.35  TRYING [2,1,2]
% 0.18/0.35  TRYING [2,1,2]
% 0.18/0.35  TRYING [2]
% 0.18/0.35  TRYING [2,2,2]
% 0.18/0.35  TRYING [2,2,2]
% 0.18/0.35  % (9425)Refutation found. Thanks to Tanya!
% 0.18/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.35  % (9425)------------------------------
% 0.18/0.35  % (9425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.35  % (9425)Termination reason: Refutation
% 0.18/0.35  
% 0.18/0.35  % (9425)Memory used [KB]: 753
% 0.18/0.35  % (9425)Time elapsed: 0.003 s
% 0.18/0.35  % (9425)Instructions burned: 3 (million)
% 0.18/0.35  % (9420)Success in time 0.019 s
%------------------------------------------------------------------------------