%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC182-1 : 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 : n008.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 18:42:15 EDT 2022

% Result   : Unsatisfiable 1.60s 0.56s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   48 (  28 unt;   0 def)
%            Number of atoms       :   83 (  25 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   74 (  39   ~;  35   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f530,plain,
    $false,
    inference(subsumption_resolution,[],[f529,f398]) ).

fof(f398,plain,
    nil != sF0,
    inference(subsumption_resolution,[],[f397,f193]) ).

fof(f193,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f397,plain,
    ( nil != sF0
    | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f396,f233]) ).

fof(f233,plain,
    ssList(nil),
    inference(forward_demodulation,[],[f188,f190]) ).

fof(f190,axiom,
    nil = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f396,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | nil != sF0 ),
    inference(superposition,[],[f98,f222]) ).

fof(f222,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[]) ).

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

fof(f529,plain,
    nil = sF0,
    inference(backward_demodulation,[],[f383,f525]) ).

fof(f525,plain,
    nil = app(nil,sF0),
    inference(backward_demodulation,[],[f495,f518]) ).

fof(f518,plain,
    nil = sk6,
    inference(subsumption_resolution,[],[f517,f194]) ).

fof(f194,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f517,plain,
    ( ~ ssList(sk6)
    | nil = sk6 ),
    inference(resolution,[],[f503,f84]) ).

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

fof(f503,plain,
    frontsegP(nil,sk6),
    inference(backward_demodulation,[],[f420,f494]) ).

fof(f494,plain,
    nil = sF1,
    inference(subsumption_resolution,[],[f493,f386]) ).

fof(f386,plain,
    ssList(sF1),
    inference(resolution,[],[f376,f382]) ).

fof(f382,plain,
    ssList(sF0),
    inference(subsumption_resolution,[],[f381,f193]) ).

fof(f381,plain,
    ( ~ ssItem(sk5)
    | ssList(sF0) ),
    inference(subsumption_resolution,[],[f380,f233]) ).

fof(f380,plain,
    ( ssList(sF0)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f86,f222]) ).

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

fof(f376,plain,
    ( ~ ssList(sF0)
    | ssList(sF1) ),
    inference(subsumption_resolution,[],[f371,f194]) ).

fof(f371,plain,
    ( ssList(sF1)
    | ~ ssList(sF0)
    | ~ ssList(sk6) ),
    inference(superposition,[],[f85,f223]) ).

fof(f223,plain,
    app(sk6,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(f493,plain,
    ( nil = sF1
    | ~ ssList(sF1) ),
    inference(resolution,[],[f418,f84]) ).

fof(f418,plain,
    frontsegP(nil,sF1),
    inference(subsumption_resolution,[],[f417,f195]) ).

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

fof(f417,plain,
    ( frontsegP(nil,sF1)
    | ~ ssList(sk7) ),
    inference(subsumption_resolution,[],[f414,f386]) ).

fof(f414,plain,
    ( frontsegP(nil,sF1)
    | ~ ssList(sF1)
    | ~ ssList(sk7) ),
    inference(superposition,[],[f238,f236]) ).

fof(f236,plain,
    nil = app(sF1,sk7),
    inference(forward_demodulation,[],[f224,f235]) ).

fof(f235,plain,
    nil = sF2,
    inference(forward_demodulation,[],[f225,f232]) ).

fof(f232,plain,
    nil = sk1,
    inference(backward_demodulation,[],[f192,f190]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f225,plain,
    sk1 = sF2,
    inference(definition_folding,[],[f196,f224,f223,f222]) ).

fof(f196,axiom,
    sk1 = app(app(sk6,cons(sk5,nil)),sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f224,plain,
    sF2 = app(sF1,sk7),
    introduced(function_definition,[]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f214,f85]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(X0,X1)) ),
    inference(equality_resolution,[],[f144]) ).

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

fof(f420,plain,
    frontsegP(sF1,sk6),
    inference(subsumption_resolution,[],[f419,f382]) ).

fof(f419,plain,
    ( ~ ssList(sF0)
    | frontsegP(sF1,sk6) ),
    inference(subsumption_resolution,[],[f410,f194]) ).

fof(f410,plain,
    ( frontsegP(sF1,sk6)
    | ~ ssList(sk6)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f238,f223]) ).

fof(f495,plain,
    nil = app(sk6,sF0),
    inference(backward_demodulation,[],[f223,f494]) ).

fof(f383,plain,
    sF0 = app(nil,sF0),
    inference(resolution,[],[f382,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC182-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.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   : Tue Aug 30 18:35:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.51  % (8910)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51  % (8908)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)
% 0.21/0.51  % (8913)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51  % (8919)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)
% 0.21/0.52  % (8910)Instruction limit reached!
% 0.21/0.52  % (8910)------------------------------
% 0.21/0.52  % (8910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (8925)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)
% 0.21/0.52  % (8917)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)
% 0.21/0.52  % (8918)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)
% 0.21/0.52  % (8910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (8910)Termination reason: Unknown
% 0.21/0.52  % (8910)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (8910)Memory used [KB]: 5628
% 0.21/0.52  % (8910)Time elapsed: 0.098 s
% 0.21/0.52  % (8910)Instructions burned: 7 (million)
% 0.21/0.52  % (8910)------------------------------
% 0.21/0.52  % (8910)------------------------------
% 0.21/0.52  % (8909)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)
% 0.21/0.52  % (8931)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53  % (8904)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)
% 0.21/0.53  % (8930)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)
% 0.21/0.53  % (8906)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)
% 1.51/0.54  % (8921)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.54  % (8923)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.51/0.54  % (8915)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.54  % (8924)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.54  % (8903)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)
% 1.51/0.54  % (8912)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)
% 1.51/0.55  TRYING [1]
% 1.51/0.55  % (8916)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.55  TRYING [2]
% 1.51/0.55  % (8918)First to succeed.
% 1.60/0.56  % (8928)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.60/0.56  % (8907)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.56  % (8918)Refutation found. Thanks to Tanya!
% 1.60/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.60/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.56  % (8918)------------------------------
% 1.60/0.56  % (8918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (8918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (8918)Termination reason: Refutation
% 1.60/0.56  
% 1.60/0.56  % (8918)Memory used [KB]: 1535
% 1.60/0.56  % (8918)Time elapsed: 0.094 s
% 1.60/0.56  % (8918)Instructions burned: 22 (million)
% 1.60/0.56  % (8918)------------------------------
% 1.60/0.56  % (8918)------------------------------
% 1.60/0.56  % (8900)Success in time 0.207 s
%------------------------------------------------------------------------------