TSTP Solution File: SWC279-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC279-1 : 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 : n003.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 18:42:52 EDT 2022

% Result   : Unsatisfiable 1.50s 0.59s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   39 (  10 unt;   0 def)
%            Number of atoms       :  162 (  30 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  240 ( 117   ~; 123   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f290,plain,
    $false,
    inference(subsumption_resolution,[],[f289,f205]) ).

fof(f205,plain,
    sk3 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(definition_unfolding,[],[f197,f191]) ).

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

fof(f197,axiom,
    sk1 = app(app(sk6,cons(sk5,nil)),sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f289,plain,
    sk3 != app(app(sk6,cons(sk5,nil)),sk7),
    inference(resolution,[],[f285,f196]) ).

fof(f196,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f285,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk3 != app(app(sk6,cons(sk5,nil)),X0) ),
    inference(subsumption_resolution,[],[f284,f194]) ).

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

fof(f284,plain,
    ! [X0] :
      ( ~ ssItem(sk5)
      | ~ ssList(X0)
      | sk3 != app(app(sk6,cons(sk5,nil)),X0) ),
    inference(resolution,[],[f283,f264]) ).

fof(f264,plain,
    ~ leq(sk8,sk5),
    inference(subsumption_resolution,[],[f263,f202]) ).

fof(f202,axiom,
    ( ~ leq(sk5,sk8)
    | ~ leq(sk8,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f263,plain,
    ( leq(sk5,sk8)
    | ~ leq(sk8,sk5) ),
    inference(subsumption_resolution,[],[f262,f195]) ).

fof(f195,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f262,plain,
    ( ~ leq(sk8,sk5)
    | ~ ssList(sk6)
    | leq(sk5,sk8) ),
    inference(subsumption_resolution,[],[f261,f194]) ).

fof(f261,plain,
    ( ~ ssItem(sk5)
    | leq(sk5,sk8)
    | ~ ssList(sk6)
    | ~ leq(sk8,sk5) ),
    inference(trivial_inequality_removal,[],[f260]) ).

fof(f260,plain,
    ( ~ ssItem(sk5)
    | leq(sk5,sk8)
    | ~ leq(sk8,sk5)
    | ~ ssList(sk6)
    | sk3 != sk3 ),
    inference(superposition,[],[f244,f205]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( sk3 != app(app(X1,cons(X0,nil)),sk7)
      | ~ leq(sk8,sk5)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | leq(X0,sk8) ),
    inference(subsumption_resolution,[],[f243,f198]) ).

fof(f198,axiom,
    ssItem(sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f243,plain,
    ! [X0,X1] :
      ( sk3 != app(app(X1,cons(X0,nil)),sk7)
      | leq(X0,sk8)
      | ~ ssItem(sk8)
      | ~ leq(sk8,sk5)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f236,f196]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(sk7)
      | sk3 != app(app(X1,cons(X0,nil)),sk7)
      | ~ ssList(X1)
      | ~ ssItem(sk8)
      | leq(X0,sk8)
      | ~ leq(sk8,sk5) ),
    inference(resolution,[],[f192,f201]) ).

fof(f201,axiom,
    ( memberP(sk7,sk8)
    | ~ leq(sk8,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f192,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ memberP(X8,X9)
      | ~ ssList(X8)
      | ~ ssItem(X6)
      | leq(X6,X9)
      | ~ ssList(X7)
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssItem(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f283,plain,
    ! [X0,X1] :
      ( leq(sk8,X0)
      | ~ ssItem(X0)
      | sk3 != app(app(sk6,cons(X0,nil)),X1)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f282,f259]) ).

fof(f259,plain,
    ! [X8,X9] :
      ( ~ leq(sk5,sk8)
      | leq(sk8,X9)
      | sk3 != app(app(sk6,cons(X9,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X9) ),
    inference(subsumption_resolution,[],[f258,f195]) ).

fof(f258,plain,
    ! [X8,X9] :
      ( sk3 != app(app(sk6,cons(X9,nil)),X8)
      | ~ ssList(sk6)
      | ~ ssItem(X9)
      | ~ leq(sk5,sk8)
      | ~ ssList(X8)
      | leq(sk8,X9) ),
    inference(subsumption_resolution,[],[f251,f198]) ).

fof(f251,plain,
    ! [X8,X9] :
      ( ~ ssItem(sk8)
      | leq(sk8,X9)
      | ~ ssItem(X9)
      | ~ leq(sk5,sk8)
      | ~ ssList(sk6)
      | ~ ssList(X8)
      | sk3 != app(app(sk6,cons(X9,nil)),X8) ),
    inference(resolution,[],[f193,f200]) ).

fof(f200,axiom,
    ( memberP(sk6,sk8)
    | ~ leq(sk5,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f193,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ memberP(X7,X9)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X9)
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssItem(X6)
      | leq(X9,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f282,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sk3 != app(app(sk6,cons(X0,nil)),X1)
      | leq(sk5,sk8)
      | leq(sk8,X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f281,f194]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( leq(sk8,X0)
      | ~ ssList(X1)
      | leq(sk5,sk8)
      | sk3 != app(app(sk6,cons(X0,nil)),X1)
      | ~ ssItem(X0)
      | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f280,f195]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( sk3 != app(app(sk6,cons(X0,nil)),X1)
      | leq(sk8,X0)
      | ~ ssList(X1)
      | ~ ssList(sk6)
      | ~ ssItem(X0)
      | ~ ssItem(sk5)
      | leq(sk5,sk8) ),
    inference(trivial_inequality_removal,[],[f279]) ).

fof(f279,plain,
    ! [X0,X1] :
      ( sk3 != sk3
      | ~ ssList(X1)
      | leq(sk8,X0)
      | sk3 != app(app(sk6,cons(X0,nil)),X1)
      | ~ ssList(sk6)
      | ~ ssItem(sk5)
      | ~ ssItem(X0)
      | leq(sk5,sk8) ),
    inference(superposition,[],[f255,f205]) ).

fof(f255,plain,
    ! [X6,X7,X4,X5] :
      ( sk3 != app(app(X7,cons(X6,nil)),sk7)
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | ~ ssItem(X5)
      | leq(X6,sk8)
      | sk3 != app(app(sk6,cons(X5,nil)),X4)
      | ~ ssList(X4)
      | leq(sk8,X5) ),
    inference(subsumption_resolution,[],[f254,f195]) ).

fof(f254,plain,
    ! [X6,X7,X4,X5] :
      ( ~ ssItem(X6)
      | leq(sk8,X5)
      | ~ ssList(X4)
      | sk3 != app(app(X7,cons(X6,nil)),sk7)
      | ~ ssList(sk6)
      | leq(X6,sk8)
      | ~ ssList(X7)
      | sk3 != app(app(sk6,cons(X5,nil)),X4)
      | ~ ssItem(X5) ),
    inference(subsumption_resolution,[],[f250,f198]) ).

fof(f250,plain,
    ! [X6,X7,X4,X5] :
      ( leq(sk8,X5)
      | ~ ssItem(sk8)
      | ~ ssList(X4)
      | leq(X6,sk8)
      | ~ ssList(X7)
      | sk3 != app(app(sk6,cons(X5,nil)),X4)
      | ~ ssItem(X6)
      | ~ ssItem(X5)
      | ~ ssList(sk6)
      | sk3 != app(app(X7,cons(X6,nil)),sk7) ),
    inference(resolution,[],[f193,f242]) ).

fof(f242,plain,
    ! [X2,X3] :
      ( memberP(sk6,sk8)
      | ~ ssItem(X2)
      | sk3 != app(app(X3,cons(X2,nil)),sk7)
      | leq(X2,sk8)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f241,f198]) ).

fof(f241,plain,
    ! [X2,X3] :
      ( ~ ssItem(sk8)
      | leq(X2,sk8)
      | sk3 != app(app(X3,cons(X2,nil)),sk7)
      | ~ ssList(X3)
      | ~ ssItem(X2)
      | memberP(sk6,sk8) ),
    inference(subsumption_resolution,[],[f237,f196]) ).

fof(f237,plain,
    ! [X2,X3] :
      ( ~ ssList(sk7)
      | ~ ssList(X3)
      | memberP(sk6,sk8)
      | leq(X2,sk8)
      | ~ ssItem(X2)
      | sk3 != app(app(X3,cons(X2,nil)),sk7)
      | ~ ssItem(sk8) ),
    inference(resolution,[],[f192,f199]) ).

fof(f199,axiom,
    ( memberP(sk7,sk8)
    | memberP(sk6,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC279-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n003.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 18:42:53 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.21/0.54  % (25610)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.21/0.54  % (25618)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)
% 1.21/0.55  % (25626)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.21/0.55  % (25610)Instruction limit reached!
% 1.21/0.55  % (25610)------------------------------
% 1.21/0.55  % (25610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.55  % (25610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.55  % (25610)Termination reason: Unknown
% 1.21/0.55  % (25610)Termination phase: Equality resolution with deletion
% 1.21/0.55  
% 1.21/0.55  % (25610)Memory used [KB]: 1023
% 1.21/0.55  % (25610)Time elapsed: 0.004 s
% 1.21/0.55  % (25610)Instructions burned: 2 (million)
% 1.21/0.55  % (25610)------------------------------
% 1.21/0.55  % (25610)------------------------------
% 1.50/0.55  % (25624)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)
% 1.50/0.56  % (25612)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.56  % (25616)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)
% 1.50/0.56  % (25620)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.56  % (25608)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)
% 1.50/0.58  % (25624)First to succeed.
% 1.50/0.58  % (25628)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)
% 1.50/0.59  TRYING [1]
% 1.50/0.59  % (25624)Refutation found. Thanks to Tanya!
% 1.50/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.59  % (25624)------------------------------
% 1.50/0.59  % (25624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59  % (25624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59  % (25624)Termination reason: Refutation
% 1.50/0.59  
% 1.50/0.59  % (25624)Memory used [KB]: 1151
% 1.50/0.59  % (25624)Time elapsed: 0.144 s
% 1.50/0.59  % (25624)Instructions burned: 10 (million)
% 1.50/0.59  % (25624)------------------------------
% 1.50/0.59  % (25624)------------------------------
% 1.50/0.59  % (25601)Success in time 0.235 s
%------------------------------------------------------------------------------