TSTP Solution File: SWC273-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC273-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 : Tue May 21 05:07:42 EDT 2024

% Result   : Unsatisfiable 4.12s 0.96s
% Output   : Refutation 4.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   32 (  15 unt;   0 def)
%            Number of atoms       :   88 (   5 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  112 (  56   ~;  56   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15864,plain,
    $false,
    inference(subsumption_resolution,[],[f15863,f186]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f15863,plain,
    ~ ssList(sk1),
    inference(subsumption_resolution,[],[f15859,f195]) ).

fof(f195,axiom,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f15859,plain,
    ( totalorderedP(sk1)
    | ~ ssList(sk1) ),
    inference(resolution,[],[f15855,f91]) ).

fof(f91,axiom,
    ! [X0] :
      ( ~ leq(skaf64(X0),skaf65(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f15855,plain,
    leq(skaf64(sk1),skaf65(sk1)),
    inference(subsumption_resolution,[],[f15854,f30]) ).

fof(f30,axiom,
    ! [X0] : ssItem(skaf65(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f15854,plain,
    ( ~ ssItem(skaf65(sk1))
    | leq(skaf64(sk1),skaf65(sk1)) ),
    inference(subsumption_resolution,[],[f15847,f31]) ).

fof(f31,axiom,
    ! [X0] : ssItem(skaf64(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f15847,plain,
    ( ~ ssItem(skaf64(sk1))
    | ~ ssItem(skaf65(sk1))
    | leq(skaf64(sk1),skaf65(sk1)) ),
    inference(resolution,[],[f15831,f103]) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f15831,plain,
    lt(skaf64(sk1),skaf65(sk1)),
    inference(subsumption_resolution,[],[f15830,f231]) ).

fof(f231,plain,
    strictorderedP(sk1),
    inference(superposition,[],[f193,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f193,axiom,
    strictorderedP(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f15830,plain,
    ( ~ strictorderedP(sk1)
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(forward_demodulation,[],[f15829,f7163]) ).

fof(f7163,plain,
    sk1 = app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))),
    inference(subsumption_resolution,[],[f7158,f195]) ).

fof(f7158,plain,
    ( totalorderedP(sk1)
    | sk1 = app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))) ),
    inference(resolution,[],[f164,f186]) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | totalorderedP(X0)
      | app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f15829,plain,
    ( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(subsumption_resolution,[],[f15828,f27]) ).

fof(f27,axiom,
    ! [X0] : ssList(skaf68(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

fof(f15828,plain,
    ( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
    | ~ ssList(skaf68(sk1))
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(subsumption_resolution,[],[f15827,f28]) ).

fof(f28,axiom,
    ! [X0] : ssList(skaf67(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f15827,plain,
    ( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
    | ~ ssList(skaf67(sk1))
    | ~ ssList(skaf68(sk1))
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(subsumption_resolution,[],[f15826,f29]) ).

fof(f29,axiom,
    ! [X0] : ssList(skaf66(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

fof(f15826,plain,
    ( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
    | ~ ssList(skaf66(sk1))
    | ~ ssList(skaf67(sk1))
    | ~ ssList(skaf68(sk1))
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(subsumption_resolution,[],[f15825,f30]) ).

fof(f15825,plain,
    ( ~ ssItem(skaf65(sk1))
    | ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
    | ~ ssList(skaf66(sk1))
    | ~ ssList(skaf67(sk1))
    | ~ ssList(skaf68(sk1))
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(subsumption_resolution,[],[f15824,f31]) ).

fof(f15824,plain,
    ( ~ ssItem(skaf64(sk1))
    | ~ ssItem(skaf65(sk1))
    | ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
    | ~ ssList(skaf66(sk1))
    | ~ ssList(skaf67(sk1))
    | ~ ssList(skaf68(sk1))
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(subsumption_resolution,[],[f15761,f186]) ).

fof(f15761,plain,
    ( ~ ssList(sk1)
    | ~ ssItem(skaf64(sk1))
    | ~ ssItem(skaf65(sk1))
    | ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
    | ~ ssList(skaf66(sk1))
    | ~ ssList(skaf67(sk1))
    | ~ ssList(skaf68(sk1))
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(superposition,[],[f216,f7163]) ).

fof(f216,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | lt(X1,X3) ),
    inference(equality_resolution,[],[f181]) ).

fof(f181,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ strictorderedP(X5)
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(X5)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | lt(X1,X3)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SWC273-1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n009.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   : Sun May 19 02:46:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (21714)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (21718)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (21715)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (21721)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % (21719)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_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (21720)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (21716)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (21717)WARNING: value z3 for option sas not known
% 0.13/0.38  % (21717)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.40  TRYING [3]
% 0.20/0.42  TRYING [1]
% 0.20/0.43  TRYING [2]
% 0.20/0.44  TRYING [4]
% 0.20/0.50  TRYING [3]
% 1.44/0.55  TRYING [5]
% 1.44/0.62  TRYING [4]
% 2.38/0.68  TRYING [1]
% 2.38/0.68  TRYING [2]
% 2.38/0.69  TRYING [3]
% 2.38/0.72  TRYING [4]
% 3.03/0.80  TRYING [6]
% 3.03/0.81  TRYING [5]
% 4.12/0.95  % (21717)First to succeed.
% 4.12/0.95  % (21717)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21714"
% 4.12/0.96  % (21717)Refutation found. Thanks to Tanya!
% 4.12/0.96  % SZS status Unsatisfiable for theBenchmark
% 4.12/0.96  % SZS output start Proof for theBenchmark
% See solution above
% 4.12/0.96  % (21717)------------------------------
% 4.12/0.96  % (21717)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.12/0.96  % (21717)Termination reason: Refutation
% 4.12/0.96  
% 4.12/0.96  % (21717)Memory used [KB]: 9597
% 4.12/0.96  % (21717)Time elapsed: 0.578 s
% 4.12/0.96  % (21717)Instructions burned: 2235 (million)
% 4.12/0.96  % (21714)Success in time 0.596 s
%------------------------------------------------------------------------------