TSTP Solution File: SWC239-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC239-1 : 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 : n022.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 18:42:37 EDT 2022

% Result   : Unsatisfiable 1.76s 0.60s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   35 (  10 unt;   0 def)
%            Number of atoms       :   89 (  39 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  116 (  62   ~;  54   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f457,plain,
    $false,
    inference(subsumption_resolution,[],[f456,f8]) ).

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

fof(f456,plain,
    ~ ssList(nil),
    inference(trivial_inequality_removal,[],[f455]) ).

fof(f455,plain,
    ( ~ ssList(nil)
    | sk1 != sk1 ),
    inference(superposition,[],[f411,f373]) ).

fof(f373,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f240]) ).

fof(f240,plain,
    ssList(sk1),
    inference(forward_demodulation,[],[f188,f191]) ).

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

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

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f411,plain,
    ! [X0] :
      ( sk1 != app(sk1,X0)
      | ~ ssList(X0) ),
    inference(backward_demodulation,[],[f291,f409]) ).

fof(f409,plain,
    sk1 = app(nil,sk1),
    inference(resolution,[],[f74,f240]) ).

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

fof(f291,plain,
    ! [X0] :
      ( sk1 != app(app(nil,sk1),X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f289,f192]) ).

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

fof(f289,plain,
    ! [X0] :
      ( sk1 != app(app(nil,sk1),X0)
      | ~ ssList(X0)
      | nil = sk1 ),
    inference(superposition,[],[f288,f248]) ).

fof(f248,plain,
    ( sk1 = sF0
    | nil = sk1 ),
    inference(forward_demodulation,[],[f247,f191]) ).

fof(f247,plain,
    ( nil = sk3
    | sk1 = sF0 ),
    inference(forward_demodulation,[],[f231,f191]) ).

fof(f231,plain,
    ( sk3 = sF0
    | nil = sk3 ),
    inference(definition_folding,[],[f203,f230]) ).

fof(f230,plain,
    cons(sk6,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f203,axiom,
    ( nil = sk3
    | sk3 = cons(sk6,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

fof(f288,plain,
    ! [X1] :
      ( sk1 != app(app(nil,sF0),X1)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f287,f192]) ).

fof(f287,plain,
    ! [X1] :
      ( nil = sk1
      | sk1 != app(app(nil,sF0),X1)
      | ~ ssList(X1) ),
    inference(resolution,[],[f285,f239]) ).

fof(f239,plain,
    ( ssItem(sk6)
    | nil = sk1 ),
    inference(backward_demodulation,[],[f199,f191]) ).

fof(f199,axiom,
    ( nil = sk3
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f285,plain,
    ! [X0] :
      ( ~ ssItem(sk6)
      | sk1 != app(app(nil,sF0),X0)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f284]) ).

fof(f284,plain,
    ! [X0] :
      ( sk1 != app(app(nil,sF0),X0)
      | ~ ssList(X0)
      | sk1 != app(app(nil,sF0),X0)
      | ~ ssItem(sk6) ),
    inference(forward_demodulation,[],[f283,f230]) ).

fof(f283,plain,
    ! [X0] :
      ( ~ ssItem(sk6)
      | ~ ssList(X0)
      | sk1 != app(app(nil,cons(sk6,nil)),X0)
      | sk1 != app(app(nil,sF0),X0) ),
    inference(subsumption_resolution,[],[f282,f8]) ).

fof(f282,plain,
    ! [X0] :
      ( sk1 != app(app(nil,sF0),X0)
      | ~ ssItem(sk6)
      | ~ ssList(X0)
      | sk1 != app(app(nil,cons(sk6,nil)),X0)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f281]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssItem(sk6)
      | ~ ssList(nil)
      | sk1 != app(app(nil,sF0),X0)
      | sk1 != app(app(nil,cons(sk6,nil)),X0)
      | ~ ssList(X0)
      | ~ ssItem(sk6) ),
    inference(resolution,[],[f280,f193]) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | ~ ssList(X8)
      | sk1 != app(app(X7,cons(X6,nil)),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f280,plain,
    ! [X0] :
      ( ~ ssItem(sk5(X0,nil,sk6))
      | ~ ssList(X0)
      | sk1 != app(app(nil,sF0),X0)
      | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f279,f8]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | ~ ssItem(sk5(X0,nil,sk6))
      | ~ ssItem(sk6)
      | sk1 != app(app(nil,sF0),X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f263,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f263,plain,
    ! [X6,X7] :
      ( memberP(X6,sk5(X7,X6,sk6))
      | ~ ssItem(sk6)
      | sk1 != app(app(X6,sF0),X7)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(superposition,[],[f194,f230]) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X6)
      | memberP(X7,sk5(X8,X7,X6))
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC239-1 : 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
% 0.12/0.34  % Computer : n022.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 18:38:41 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.55  % (1194)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)
% 0.19/0.55  % (1179)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56  % (1186)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)
% 0.19/0.56  % (1196)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.56  % (1180)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56  % (1180)Instruction limit reached!
% 0.19/0.56  % (1180)------------------------------
% 0.19/0.56  % (1180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (1178)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)
% 0.19/0.56  % (1187)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)
% 0.19/0.56  % (1188)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)
% 0.19/0.56  % (1180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (1180)Termination reason: Unknown
% 0.19/0.56  % (1180)Termination phase: Equality resolution with deletion
% 0.19/0.56  
% 0.19/0.56  % (1180)Memory used [KB]: 1151
% 0.19/0.56  % (1180)Time elapsed: 0.004 s
% 0.19/0.56  % (1180)Instructions burned: 2 (million)
% 0.19/0.56  % (1180)------------------------------
% 0.19/0.56  % (1180)------------------------------
% 0.19/0.57  % (1195)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)
% 0.19/0.57  % (1179)Instruction limit reached!
% 0.19/0.57  % (1179)------------------------------
% 0.19/0.57  % (1179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (1179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (1179)Termination reason: Unknown
% 0.19/0.58  % (1179)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (1179)Memory used [KB]: 5628
% 0.19/0.58  % (1179)Time elapsed: 0.135 s
% 0.19/0.58  % (1179)Instructions burned: 8 (million)
% 0.19/0.58  % (1179)------------------------------
% 0.19/0.58  % (1179)------------------------------
% 0.19/0.59  % (1190)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.59  % (1192)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)
% 1.76/0.60  % (1177)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)
% 1.76/0.60  % (1174)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)
% 1.76/0.60  TRYING [1]
% 1.76/0.60  TRYING [2]
% 1.76/0.60  % (1184)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.76/0.60  % (1173)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)
% 1.76/0.60  % (1187)First to succeed.
% 1.76/0.60  % (1195)Also succeeded, but the first one will report.
% 1.76/0.60  % (1187)Refutation found. Thanks to Tanya!
% 1.76/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.76/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.60  % (1187)------------------------------
% 1.76/0.60  % (1187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (1187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (1187)Termination reason: Refutation
% 1.76/0.60  
% 1.76/0.60  % (1187)Memory used [KB]: 1407
% 1.76/0.60  % (1187)Time elapsed: 0.168 s
% 1.76/0.60  % (1187)Instructions burned: 19 (million)
% 1.76/0.60  % (1187)------------------------------
% 1.76/0.60  % (1187)------------------------------
% 1.76/0.60  % (1171)Success in time 0.252 s
%------------------------------------------------------------------------------