TSTP Solution File: SWC019-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC019-1 : 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 : n012.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 18:41:14 EDT 2022

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :   59 (  16 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   53 (  20   ~;  33   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f450,plain,
    $false,
    inference(subsumption_resolution,[],[f449,f264]) ).

fof(f264,plain,
    ~ ssList(sk4),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f449,plain,
    ssList(sk4),
    inference(subsumption_resolution,[],[f448,f418]) ).

fof(f418,plain,
    nil != sk4,
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f199,plain,
    ( nil != sk4
    | nil != sk4 ),
    inference(definition_unfolding,[],[f194,f190,f195]) ).

fof(f195,plain,
    sk1 = sk4,
    inference(definition_unfolding,[],[f191,f192]) ).

fof(f192,axiom,
    sk3 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f194,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f448,plain,
    ( nil = sk4
    | ssList(sk4) ),
    inference(duplicate_literal_removal,[],[f446]) ).

fof(f446,plain,
    ( ssList(sk4)
    | ssList(sk4)
    | nil = sk4 ),
    inference(resolution,[],[f445,f394]) ).

fof(f394,plain,
    ! [X0] :
      ( ~ frontsegP(X0,X0)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f445,plain,
    ! [X0] :
      ( frontsegP(sk4,X0)
      | ssList(X0)
      | nil = X0 ),
    inference(subsumption_resolution,[],[f443,f268]) ).

fof(f268,plain,
    ~ ssList(nil),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f443,plain,
    ! [X0] :
      ( ssList(X0)
      | frontsegP(sk4,X0)
      | ssList(nil)
      | nil = X0 ),
    inference(duplicate_literal_removal,[],[f439]) ).

fof(f439,plain,
    ! [X0] :
      ( frontsegP(sk4,X0)
      | nil = X0
      | ssList(X0)
      | ssList(nil)
      | ssList(X0) ),
    inference(resolution,[],[f303,f414]) ).

fof(f414,plain,
    ! [X6] :
      ( neq(X6,nil)
      | ssList(X6)
      | frontsegP(sk4,X6) ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f344,plain,
    ! [X6] :
      ( neq(X6,nil)
      | frontsegP(sk4,X6)
      | ssList(X6)
      | frontsegP(sk4,X6) ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f197,plain,
    ! [X6] :
      ( ~ frontsegP(sk4,X6)
      | ~ frontsegP(sk4,X6)
      | ~ ssList(X6)
      | ~ neq(X6,nil) ),
    inference(definition_unfolding,[],[f193,f190,f195]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ frontsegP(sk2,X6)
      | ~ ssList(X6)
      | ~ frontsegP(sk1,X6)
      | ~ neq(X6,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ neq(X1,X0)
      | ssList(X0)
      | X0 = X1
      | ssList(X1) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | neq(X1,X0)
      | X0 = X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWC019-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.30  % Computer : n012.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Tue Aug 30 17:55:50 EDT 2022
% 0.11/0.30  % CPUTime    : 
% 0.17/0.45  % (30072)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.46  % (30080)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.46  % (30074)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)
% 0.17/0.46  % (30066)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.46  % (30066)Instruction limit reached!
% 0.17/0.46  % (30066)------------------------------
% 0.17/0.46  % (30066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46  % (30086)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.47  % (30059)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)
% 0.17/0.47  % (30066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.47  % (30066)Termination reason: Unknown
% 0.17/0.47  % (30066)Termination phase: Saturation
% 0.17/0.47  
% 0.17/0.47  % (30066)Memory used [KB]: 5628
% 0.17/0.47  % (30066)Time elapsed: 0.102 s
% 0.17/0.47  % (30066)Instructions burned: 8 (million)
% 0.17/0.47  % (30066)------------------------------
% 0.17/0.47  % (30066)------------------------------
% 0.17/0.47  % (30063)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.47  % (30078)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.48  % (30078)First to succeed.
% 0.17/0.48  % (30088)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.48  % (30070)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.48  % (30062)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48  % (30081)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.49  % (30061)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)
% 0.17/0.49  % (30064)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.49  TRYING [1]
% 0.17/0.49  % (30060)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.49  TRYING [2]
% 0.17/0.49  % (30067)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.49  % (30067)Instruction limit reached!
% 0.17/0.49  % (30067)------------------------------
% 0.17/0.49  % (30067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (30067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (30067)Termination reason: Unknown
% 0.17/0.49  % (30067)Termination phase: shuffling
% 0.17/0.49  
% 0.17/0.49  % (30067)Memory used [KB]: 1023
% 0.17/0.49  % (30067)Time elapsed: 0.003 s
% 0.17/0.49  % (30067)Instructions burned: 2 (million)
% 0.17/0.49  % (30067)------------------------------
% 0.17/0.49  % (30067)------------------------------
% 0.17/0.49  % (30073)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)
% 0.17/0.49  % (30084)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.50  % (30072)Also succeeded, but the first one will report.
% 0.17/0.50  % (30085)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)
% 0.17/0.50  % (30083)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.50  % (30076)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.50  % (30071)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.50  % (30078)Refutation found. Thanks to Tanya!
% 0.17/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50  % (30078)------------------------------
% 0.17/0.50  % (30078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (30078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (30078)Termination reason: Refutation
% 0.17/0.50  
% 0.17/0.50  % (30078)Memory used [KB]: 1279
% 0.17/0.50  % (30078)Time elapsed: 0.136 s
% 0.17/0.50  % (30078)Instructions burned: 10 (million)
% 0.17/0.50  % (30078)------------------------------
% 0.17/0.50  % (30078)------------------------------
% 0.17/0.50  % (30058)Success in time 0.191 s
%------------------------------------------------------------------------------