TSTP Solution File: SWC181-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC181-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 04:36:51 EDT 2024

% Result   : Unsatisfiable 0.74s 0.93s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  14 unt;   0 def)
%            Number of atoms       :   80 (   6 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  109 (  57   ~;  52   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f795,plain,
    $false,
    inference(subsumption_resolution,[],[f784,f21]) ).

fof(f21,axiom,
    ! [X0] : ssItem(skaf74(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

fof(f784,plain,
    ~ ssItem(skaf74(sk3)),
    inference(resolution,[],[f717,f209]) ).

fof(f209,plain,
    ! [X1] :
      ( ~ lt(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ lt(X1,X1) ),
    inference(equality_resolution,[],[f111]) ).

fof(f111,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f717,plain,
    lt(skaf74(sk3),skaf74(sk3)),
    inference(subsumption_resolution,[],[f716,f18]) ).

fof(f18,axiom,
    ! [X0] : ssList(skaf77(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f716,plain,
    ( lt(skaf74(sk3),skaf74(sk3))
    | ~ ssList(skaf77(sk3)) ),
    inference(subsumption_resolution,[],[f715,f19]) ).

fof(f19,axiom,
    ! [X0] : ssList(skaf76(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f715,plain,
    ( lt(skaf74(sk3),skaf74(sk3))
    | ~ ssList(skaf76(sk3))
    | ~ ssList(skaf77(sk3)) ),
    inference(subsumption_resolution,[],[f714,f20]) ).

fof(f20,axiom,
    ! [X0] : ssList(skaf75(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f714,plain,
    ( lt(skaf74(sk3),skaf74(sk3))
    | ~ ssList(skaf75(sk3))
    | ~ ssList(skaf76(sk3))
    | ~ ssList(skaf77(sk3)) ),
    inference(subsumption_resolution,[],[f713,f21]) ).

fof(f713,plain,
    ( lt(skaf74(sk3),skaf74(sk3))
    | ~ ssItem(skaf74(sk3))
    | ~ ssList(skaf75(sk3))
    | ~ ssList(skaf76(sk3))
    | ~ ssList(skaf77(sk3)) ),
    inference(subsumption_resolution,[],[f712,f195]) ).

fof(f195,axiom,
    strictorderedP(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f712,plain,
    ( lt(skaf74(sk3),skaf74(sk3))
    | ~ strictorderedP(sk3)
    | ~ ssItem(skaf74(sk3))
    | ~ ssList(skaf75(sk3))
    | ~ ssList(skaf76(sk3))
    | ~ ssList(skaf77(sk3)) ),
    inference(subsumption_resolution,[],[f711,f200]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f711,plain,
    ( ~ ssList(sk3)
    | lt(skaf74(sk3),skaf74(sk3))
    | ~ strictorderedP(sk3)
    | ~ ssItem(skaf74(sk3))
    | ~ ssList(skaf75(sk3))
    | ~ ssList(skaf76(sk3))
    | ~ ssList(skaf77(sk3)) ),
    inference(duplicate_literal_removal,[],[f700]) ).

fof(f700,plain,
    ( ~ ssList(sk3)
    | lt(skaf74(sk3),skaf74(sk3))
    | ~ strictorderedP(sk3)
    | ~ ssItem(skaf74(sk3))
    | ~ ssItem(skaf74(sk3))
    | ~ ssList(skaf75(sk3))
    | ~ ssList(skaf76(sk3))
    | ~ ssList(skaf77(sk3)) ),
    inference(superposition,[],[f205,f578]) ).

fof(f578,plain,
    sk3 = app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))),
    inference(subsumption_resolution,[],[f577,f200]) ).

fof(f577,plain,
    ( sk3 = app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3)))
    | ~ ssList(sk3) ),
    inference(resolution,[],[f162,f202]) ).

fof(f202,plain,
    ~ duplicatefreeP(sk3),
    inference(definition_unfolding,[],[f198,f191]) ).

fof(f198,axiom,
    ~ duplicatefreeP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f162,axiom,
    ! [X0] :
      ( duplicatefreeP(X0)
      | app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f205,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | lt(X1,X3)
      | ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f181]) ).

fof(f181,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( lt(X1,X3)
      | ~ ssList(X5)
      | ~ strictorderedP(X5)
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | 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    : SWC181-1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.38  % Computer : n027.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sun May 19 03:09:38 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.38  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.91  % (18374)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.71/0.91  % (18377)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.71/0.91  % (18372)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.71/0.91  % (18371)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.71/0.91  % (18373)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.71/0.91  % (18375)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.71/0.91  % (18376)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.71/0.91  % (18378)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.74/0.92  % (18375)Instruction limit reached!
% 0.74/0.92  % (18375)------------------------------
% 0.74/0.92  % (18375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.92  % (18375)Termination reason: Unknown
% 0.74/0.92  % (18375)Termination phase: Saturation
% 0.74/0.92  
% 0.74/0.92  % (18375)Memory used [KB]: 1726
% 0.74/0.92  % (18375)Time elapsed: 0.019 s
% 0.74/0.92  % (18375)Instructions burned: 34 (million)
% 0.74/0.92  % (18375)------------------------------
% 0.74/0.92  % (18375)------------------------------
% 0.74/0.92  % (18371)Instruction limit reached!
% 0.74/0.92  % (18371)------------------------------
% 0.74/0.92  % (18371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.92  % (18371)Termination reason: Unknown
% 0.74/0.92  % (18371)Termination phase: Saturation
% 0.74/0.92  
% 0.74/0.92  % (18371)Memory used [KB]: 1357
% 0.74/0.92  % (18371)Time elapsed: 0.020 s
% 0.74/0.92  % (18371)Instructions burned: 35 (million)
% 0.74/0.92  % (18371)------------------------------
% 0.74/0.92  % (18371)------------------------------
% 0.74/0.92  % (18374)Instruction limit reached!
% 0.74/0.92  % (18374)------------------------------
% 0.74/0.92  % (18374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.92  % (18374)Termination reason: Unknown
% 0.74/0.93  % (18374)Termination phase: Saturation
% 0.74/0.93  
% 0.74/0.93  % (18374)Memory used [KB]: 1745
% 0.74/0.93  % (18374)Time elapsed: 0.021 s
% 0.74/0.93  % (18374)Instructions burned: 34 (million)
% 0.74/0.93  % (18374)------------------------------
% 0.74/0.93  % (18374)------------------------------
% 0.74/0.93  % (18373)First to succeed.
% 0.74/0.93  % (18373)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18370"
% 0.74/0.93  % (18373)Refutation found. Thanks to Tanya!
% 0.74/0.93  % SZS status Unsatisfiable for theBenchmark
% 0.74/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 0.74/0.93  % (18373)------------------------------
% 0.74/0.93  % (18373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.93  % (18373)Termination reason: Refutation
% 0.74/0.93  
% 0.74/0.93  % (18373)Memory used [KB]: 1367
% 0.74/0.93  % (18373)Time elapsed: 0.022 s
% 0.74/0.93  % (18373)Instructions burned: 33 (million)
% 0.74/0.93  % (18370)Success in time 0.54 s
% 0.74/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------