TSTP Solution File: SWW400-1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW400-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n010.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 18:32:20 EDT 2024

% Result   : Unsatisfiable 0.12s 0.41s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   15 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   8   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f406,plain,
    $false,
    inference(subsumption_resolution,[],[f403,f14]) ).

fof(f14,axiom,
    heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f403,plain,
    ~ heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
    inference(superposition,[],[f115,f2]) ).

fof(f2,axiom,
    ! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f115,plain,
    ~ heap(sep(next(x2,nil),sep(lseg(nil,nil),sep(lseg(x1,x2),emp)))),
    inference(unit_resulting_resolution,[],[f13,f54,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
      | heap(sep(lseg(X3,X5),X2))
      | X3 = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f54,plain,
    ! [X0] : ~ heap(sep(lseg(X0,nil),sep(lseg(x1,X0),emp))),
    inference(superposition,[],[f32,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f32,plain,
    ! [X0] : ~ heap(sep(lseg(x1,X0),sep(lseg(X0,nil),emp))),
    inference(unit_resulting_resolution,[],[f15,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X4] :
      ( ~ heap(sep(lseg(X3,X4),sep(lseg(X4,nil),X2)))
      | heap(sep(lseg(X3,nil),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f15,axiom,
    ~ heap(sep(lseg(x1,nil),emp)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f13,axiom,
    nil != x2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWW400-1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 07:04:09 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39  % (801)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.39  % (805)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.12/0.39  % (801)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.39  % (807)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.12/0.40  % (801)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.40  % (802)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.12/0.40  % (801)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.40  % (803)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.12/0.40  % (807)First to succeed.
% 0.12/0.40  % (807)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-801"
% 0.12/0.40  % (802)Also succeeded, but the first one will report.
% 0.12/0.41  % (801)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41  % (807)Refutation found. Thanks to Tanya!
% 0.12/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.41  % (807)------------------------------
% 0.12/0.41  % (807)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.12/0.41  % (807)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.12/0.41  % (807)Termination reason: Refutation
% 0.12/0.41  
% 0.12/0.41  % (807)Memory used [KB]: 1486
% 0.12/0.41  % (807)Time elapsed: 0.012 s
% 0.12/0.41  % (807)Instructions burned: 24 (million)
% 0.12/0.41  % (807)------------------------------
% 0.12/0.41  % (807)------------------------------
% 0.12/0.41  % (801)Success in time 0.041 s
%------------------------------------------------------------------------------