TSTP Solution File: SWC276-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC276-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 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 : Wed Aug 31 18:42:51 EDT 2022

% Result   : Unsatisfiable 1.40s 0.53s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   30 (  17 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   4   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f286,plain,
    $false,
    inference(subsumption_resolution,[],[f283,f4]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f283,plain,
    ~ totalorderedP(nil),
    inference(backward_demodulation,[],[f192,f281]) ).

fof(f281,plain,
    nil = sk1,
    inference(subsumption_resolution,[],[f280,f192]) ).

fof(f280,plain,
    ( totalorderedP(sk1)
    | nil = sk1 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f279,plain,
    ( nil = sk1
    | nil = sk1
    | totalorderedP(sk1) ),
    inference(superposition,[],[f271,f235]) ).

fof(f235,plain,
    ( sk1 = sF0
    | nil = sk1 ),
    inference(forward_demodulation,[],[f234,f191]) ).

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

fof(f234,plain,
    ( sk3 = sF0
    | nil = sk1 ),
    inference(forward_demodulation,[],[f224,f191]) ).

fof(f224,plain,
    ( nil = sk3
    | sk3 = sF0 ),
    inference(definition_folding,[],[f197,f223]) ).

fof(f223,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f197,axiom,
    ( nil = sk3
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f271,plain,
    ( totalorderedP(sF0)
    | nil = sk1 ),
    inference(resolution,[],[f260,f239]) ).

fof(f239,plain,
    ( ssItem(sk5)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f194,f191]) ).

fof(f194,axiom,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f260,plain,
    ( ~ ssItem(sk5)
    | totalorderedP(sF0) ),
    inference(superposition,[],[f67,f223]) ).

fof(f67,axiom,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f192,axiom,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC276-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.12/0.34  % Computer : n027.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   : Tue Aug 30 18:57:01 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.21/0.51  % (13819)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.24/0.51  % (13823)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)
% 1.24/0.52  % (13824)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.24/0.52  % (13815)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)
% 1.24/0.52  % (13824)First to succeed.
% 1.24/0.53  % (13830)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.53  % (13809)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)
% 1.40/0.53  % (13833)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.53  % (13832)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.40/0.53  % (13837)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.53  % (13813)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.53  % (13811)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.40/0.53  % (13819)Also succeeded, but the first one will report.
% 1.40/0.53  % (13824)Refutation found. Thanks to Tanya!
% 1.40/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.40/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.53  % (13824)------------------------------
% 1.40/0.53  % (13824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (13824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (13824)Termination reason: Refutation
% 1.40/0.53  
% 1.40/0.53  % (13824)Memory used [KB]: 1279
% 1.40/0.53  % (13824)Time elapsed: 0.112 s
% 1.40/0.53  % (13824)Instructions burned: 11 (million)
% 1.40/0.53  % (13824)------------------------------
% 1.40/0.53  % (13824)------------------------------
% 1.42/0.93  % (13808)Success in time 0.186 s
%------------------------------------------------------------------------------