TSTP Solution File: SWC243-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC243-1 : 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_uns --cores 0 -t %d %s

% Computer : n023.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 18:39:50 EDT 2022

% Result   : Unsatisfiable 0.15s 0.52s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   7 unt;   0 def)
%            Number of atoms       :   91 (  26 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  137 (  75   ~;  62   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f366,plain,
    $false,
    inference(subsumption_resolution,[],[f365,f186]) ).

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

fof(f365,plain,
    ~ ssList(sk1),
    inference(subsumption_resolution,[],[f364,f193]) ).

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f364,plain,
    ( nil = sk1
    | ~ ssList(sk1) ),
    inference(equality_resolution,[],[f353]) ).

fof(f353,plain,
    ! [X1] :
      ( sk1 != X1
      | nil = X1
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f352,f12]) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f352,plain,
    ! [X1] :
      ( ~ ssItem(skaf83(X1))
      | nil = X1
      | sk1 != X1
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f351,f13]) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f351,plain,
    ! [X1] :
      ( ~ ssList(skaf82(X1))
      | sk1 != X1
      | ~ ssList(X1)
      | nil = X1
      | ~ ssItem(skaf83(X1)) ),
    inference(superposition,[],[f346,f109]) ).

fof(f109,axiom,
    ! [X0] :
      ( cons(skaf83(X0),skaf82(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f346,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk1
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f338]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | cons(X0,X1) != sk1
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f279,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f279,plain,
    ! [X0,X1] :
      ( sk1 != app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f278,f8]) ).

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

fof(f278,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | sk1 != app(cons(X1,nil),X0)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f277]) ).

fof(f277,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | sk1 != app(cons(X1,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(resolution,[],[f269,f86]) ).

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

fof(f269,plain,
    ! [X0,X1] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | app(cons(X0,nil),X1) != sk1 ),
    inference(superposition,[],[f260,f74]) ).

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

fof(f260,plain,
    ! [X0,X1] :
      ( sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f259,f8]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ~ ssList(nil)
      | sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f258]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | sk1 != app(app(nil,cons(X0,nil)),X1) ),
    inference(resolution,[],[f257,f194]) ).

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

fof(f257,plain,
    ! [X0,X1] :
      ( ~ ssItem(sk5(X1,nil,X0))
      | ~ ssItem(X0)
      | sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f256,f8]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ~ ssList(nil)
      | ~ ssItem(sk5(X1,nil,X0))
      | sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f195,f71]) ).

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

fof(f195,axiom,
    ! [X8,X6,X7] :
      ( memberP(X7,sk5(X8,X7,X6))
      | ~ ssList(X7)
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssItem(X6)
      | ~ ssList(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWC243-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 18:59:04 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.46  % (24436)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.46  % (24431)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.47  % (24449)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.47  % (24441)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.48  % (24440)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.15/0.48  % (24448)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.15/0.48  % (24426)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.15/0.48  % (24428)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.48  % (24436)Instruction limit reached!
% 0.15/0.48  % (24436)------------------------------
% 0.15/0.48  % (24436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (24436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (24436)Termination reason: Unknown
% 0.15/0.48  % (24436)Termination phase: Property scanning
% 0.15/0.48  
% 0.15/0.48  % (24436)Memory used [KB]: 1535
% 0.15/0.48  % (24436)Time elapsed: 0.006 s
% 0.15/0.48  % (24436)Instructions burned: 7 (million)
% 0.15/0.48  % (24436)------------------------------
% 0.15/0.48  % (24436)------------------------------
% 0.15/0.48  % (24428)Instruction limit reached!
% 0.15/0.48  % (24428)------------------------------
% 0.15/0.48  % (24428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (24428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (24428)Termination reason: Unknown
% 0.15/0.48  % (24428)Termination phase: Equality proxy
% 0.15/0.48  
% 0.15/0.48  % (24428)Memory used [KB]: 1535
% 0.15/0.48  % (24428)Time elapsed: 0.004 s
% 0.15/0.48  % (24428)Instructions burned: 4 (million)
% 0.15/0.48  % (24428)------------------------------
% 0.15/0.48  % (24428)------------------------------
% 0.15/0.48  % (24441)Instruction limit reached!
% 0.15/0.48  % (24441)------------------------------
% 0.15/0.48  % (24441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (24441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (24441)Termination reason: Unknown
% 0.15/0.48  % (24441)Termination phase: Finite model building preprocessing
% 0.15/0.48  
% 0.15/0.48  % (24441)Memory used [KB]: 1535
% 0.15/0.48  % (24441)Time elapsed: 0.009 s
% 0.15/0.48  % (24441)Instructions burned: 6 (million)
% 0.15/0.48  % (24441)------------------------------
% 0.15/0.48  % (24441)------------------------------
% 0.15/0.48  % (24434)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.48  % (24433)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.48  % (24434)Instruction limit reached!
% 0.15/0.48  % (24434)------------------------------
% 0.15/0.48  % (24434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (24434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (24434)Termination reason: Unknown
% 0.15/0.48  % (24434)Termination phase: Property scanning
% 0.15/0.48  
% 0.15/0.48  % (24434)Memory used [KB]: 1535
% 0.15/0.48  % (24434)Time elapsed: 0.003 s
% 0.15/0.48  % (24434)Instructions burned: 4 (million)
% 0.15/0.48  % (24434)------------------------------
% 0.15/0.48  % (24434)------------------------------
% 0.15/0.49  % (24433)Refutation not found, incomplete strategy% (24433)------------------------------
% 0.15/0.49  % (24433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (24435)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.49  % (24432)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.49  % (24433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (24433)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49  
% 0.15/0.49  % (24433)Memory used [KB]: 6012
% 0.15/0.49  % (24433)Time elapsed: 0.069 s
% 0.15/0.49  % (24433)Instructions burned: 4 (million)
% 0.15/0.49  % (24433)------------------------------
% 0.15/0.49  % (24433)------------------------------
% 0.15/0.49  % (24429)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.15/0.50  % (24427)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.15/0.50  % (24445)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.51  % (24431)Instruction limit reached!
% 0.15/0.51  % (24431)------------------------------
% 0.15/0.51  % (24431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51  % (24430)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.15/0.51  % (24431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51  % (24431)Termination reason: Unknown
% 0.15/0.51  % (24431)Termination phase: Saturation
% 0.15/0.51  
% 0.15/0.51  % (24431)Memory used [KB]: 6396
% 0.15/0.51  % (24431)Time elapsed: 0.128 s
% 0.15/0.51  % (24431)Instructions burned: 26 (million)
% 0.15/0.51  % (24431)------------------------------
% 0.15/0.51  % (24431)------------------------------
% 0.15/0.51  % (24452)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.15/0.51  % (24451)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.15/0.51  % (24437)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.15/0.51  % (24440)First to succeed.
% 0.15/0.51  % (24450)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.52  % (24444)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.15/0.52  % (24440)Refutation found. Thanks to Tanya!
% 0.15/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.52  % (24440)------------------------------
% 0.15/0.52  % (24440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (24440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (24440)Termination reason: Refutation
% 0.15/0.52  
% 0.15/0.52  % (24440)Memory used [KB]: 1791
% 0.15/0.52  % (24440)Time elapsed: 0.145 s
% 0.15/0.52  % (24440)Instructions burned: 22 (million)
% 0.15/0.52  % (24440)------------------------------
% 0.15/0.52  % (24440)------------------------------
% 0.15/0.52  % (24425)Success in time 0.199 s
%------------------------------------------------------------------------------