TSTP Solution File: SWC218-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC218-1 : 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 : n014.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 18:42:27 EDT 2022

% Result   : Unsatisfiable 1.47s 0.61s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   51 (  25 unt;   0 def)
%            Number of atoms       :  102 (  23 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  107 (  56   ~;  51   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f587,plain,
    $false,
    inference(subsumption_resolution,[],[f586,f392]) ).

fof(f392,plain,
    ssList(sF0),
    inference(subsumption_resolution,[],[f391,f8]) ).

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

fof(f391,plain,
    ( ssList(sF0)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f390,f195]) ).

fof(f195,axiom,
    ssItem(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f390,plain,
    ( ~ ssItem(sk7)
    | ~ ssList(nil)
    | ssList(sF0) ),
    inference(superposition,[],[f86,f222]) ).

fof(f222,plain,
    cons(sk7,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f586,plain,
    ~ ssList(sF0),
    inference(subsumption_resolution,[],[f585,f406]) ).

fof(f406,plain,
    nil != sF0,
    inference(subsumption_resolution,[],[f405,f195]) ).

fof(f405,plain,
    ( ~ ssItem(sk7)
    | nil != sF0 ),
    inference(subsumption_resolution,[],[f404,f8]) ).

fof(f404,plain,
    ( ~ ssList(nil)
    | nil != sF0
    | ~ ssItem(sk7) ),
    inference(superposition,[],[f98,f222]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f585,plain,
    ( nil = sF0
    | ~ ssList(sF0) ),
    inference(resolution,[],[f560,f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f560,plain,
    rearsegP(nil,sF0),
    inference(backward_demodulation,[],[f448,f552]) ).

fof(f552,plain,
    nil = sF1,
    inference(subsumption_resolution,[],[f551,f393]) ).

fof(f393,plain,
    ssList(sF1),
    inference(resolution,[],[f392,f383]) ).

fof(f383,plain,
    ( ~ ssList(sF0)
    | ssList(sF1) ),
    inference(subsumption_resolution,[],[f382,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f382,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sF0)
    | ssList(sF1) ),
    inference(superposition,[],[f85,f223]) ).

fof(f223,plain,
    app(sk5,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f551,plain,
    ( ~ ssList(sF1)
    | nil = sF1 ),
    inference(resolution,[],[f536,f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f536,plain,
    frontsegP(nil,sF1),
    inference(backward_demodulation,[],[f427,f527]) ).

fof(f527,plain,
    nil = sk1,
    inference(subsumption_resolution,[],[f526,f8]) ).

fof(f526,plain,
    ( nil = sk1
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f521,f186]) ).

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

fof(f521,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | ~ ssList(nil) ),
    inference(resolution,[],[f100,f197]) ).

fof(f197,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

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

fof(f427,plain,
    frontsegP(sk1,sF1),
    inference(subsumption_resolution,[],[f426,f393]) ).

fof(f426,plain,
    ( ~ ssList(sF1)
    | frontsegP(sk1,sF1) ),
    inference(subsumption_resolution,[],[f420,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f420,plain,
    ( ~ ssList(sk6)
    | frontsegP(sk1,sF1)
    | ~ ssList(sF1) ),
    inference(superposition,[],[f236,f240]) ).

fof(f240,plain,
    sk1 = app(sF1,sk6),
    inference(forward_demodulation,[],[f224,f239]) ).

fof(f239,plain,
    sk1 = sF2,
    inference(backward_demodulation,[],[f225,f191]) ).

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

fof(f225,plain,
    sk3 = sF2,
    inference(definition_folding,[],[f196,f224,f223,f222]) ).

fof(f196,axiom,
    sk3 = app(app(sk5,cons(sk7,nil)),sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f224,plain,
    sF2 = app(sF1,sk6),
    introduced(function_definition,[]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f205,f85]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | frontsegP(app(X0,X1),X0)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | frontsegP(X2,X0)
      | ~ ssList(X2)
      | app(X0,X1) != X2
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f448,plain,
    rearsegP(sF1,sF0),
    inference(subsumption_resolution,[],[f447,f392]) ).

fof(f447,plain,
    ( ~ ssList(sF0)
    | rearsegP(sF1,sF0) ),
    inference(subsumption_resolution,[],[f444,f192]) ).

fof(f444,plain,
    ( rearsegP(sF1,sF0)
    | ~ ssList(sk5)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f244,f223]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( rearsegP(app(X0,X1),X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f201,f85]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | rearsegP(app(X0,X1),X1)
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f143]) ).

fof(f143,axiom,
    ! [X2,X0,X1] :
      ( rearsegP(X2,X1)
      | app(X0,X1) != X2
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC218-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 18:36:03 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 1.16/0.55  % (12983)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.16/0.55  % (12973)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)
% 1.16/0.55  % (12982)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)
% 1.16/0.56  % (12974)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.16/0.56  % (12975)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.56  % (12975)Instruction limit reached!
% 1.47/0.56  % (12975)------------------------------
% 1.47/0.56  % (12975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (12975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (12975)Termination reason: Unknown
% 1.47/0.56  % (12975)Termination phase: Equality resolution with deletion
% 1.47/0.56  
% 1.47/0.56  % (12975)Memory used [KB]: 1023
% 1.47/0.56  % (12975)Time elapsed: 0.002 s
% 1.47/0.56  % (12975)Instructions burned: 2 (million)
% 1.47/0.56  % (12975)------------------------------
% 1.47/0.56  % (12975)------------------------------
% 1.47/0.57  % (12974)Instruction limit reached!
% 1.47/0.57  % (12974)------------------------------
% 1.47/0.57  % (12974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57  % (12991)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.57  % (12989)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)
% 1.47/0.57  TRYING [1]
% 1.47/0.58  % (12981)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)
% 1.47/0.58  % (12984)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.47/0.58  % (12990)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)
% 1.47/0.58  % (12986)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)
% 1.47/0.58  % (12988)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.58  % (12970)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)
% 1.47/0.58  % (12972)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)
% 1.47/0.58  % (12994)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)
% 1.47/0.59  % (12978)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)
% 1.47/0.59  % (12995)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.59  % (12974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.59  % (12974)Termination reason: Unknown
% 1.47/0.59  % (12974)Termination phase: Saturation
% 1.47/0.59  
% 1.47/0.59  % (12974)Memory used [KB]: 5628
% 1.47/0.59  % (12974)Time elapsed: 0.129 s
% 1.47/0.59  % (12974)Instructions burned: 8 (million)
% 1.47/0.59  % (12974)------------------------------
% 1.47/0.59  % (12974)------------------------------
% 1.47/0.59  % (12968)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)
% 1.47/0.59  TRYING [2]
% 1.47/0.59  % (12996)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)
% 1.47/0.59  % (12992)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.60  % (12969)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)
% 1.47/0.60  % (12980)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.60  % (12982)First to succeed.
% 1.47/0.60  % (12985)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.61  % (12967)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)
% 1.47/0.61  % (12993)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)
% 1.47/0.61  % (12976)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.61  % (12977)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.61  % (12982)Refutation found. Thanks to Tanya!
% 1.47/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.47/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.61  % (12982)------------------------------
% 1.47/0.61  % (12982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (12982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (12982)Termination reason: Refutation
% 1.47/0.61  
% 1.47/0.61  % (12982)Memory used [KB]: 1535
% 1.47/0.61  % (12982)Time elapsed: 0.157 s
% 1.47/0.61  % (12982)Instructions burned: 24 (million)
% 1.47/0.61  % (12982)------------------------------
% 1.47/0.61  % (12982)------------------------------
% 1.47/0.61  % (12966)Success in time 0.245 s
%------------------------------------------------------------------------------