TSTP Solution File: SWC370-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC370-1 : 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 : n029.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 18:40:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :   98 (  29 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  128 (  65   ~;  63   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f548,plain,
    $false,
    inference(subsumption_resolution,[],[f547,f200]) ).

fof(f200,plain,
    ~ segmentP(sk4,sk3),
    inference(definition_unfolding,[],[f196,f190,f191]) ).

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

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f196,axiom,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f547,plain,
    segmentP(sk4,sk3),
    inference(subsumption_resolution,[],[f546,f192]) ).

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

fof(f546,plain,
    ( ~ ssList(sk5)
    | segmentP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f538,f198]) ).

fof(f198,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f538,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk5)
    | segmentP(sk4,sk3) ),
    inference(superposition,[],[f445,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f445,plain,
    ! [X7] :
      ( segmentP(app(sk3,X7),sk3)
      | ~ ssList(app(sk3,X7))
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f444,f188]) ).

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

fof(f444,plain,
    ! [X7] :
      ( ~ ssList(app(sk3,X7))
      | ~ ssList(X7)
      | ~ ssList(sk3)
      | segmentP(app(sk3,X7),sk3) ),
    inference(subsumption_resolution,[],[f437,f8]) ).

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

fof(f437,plain,
    ! [X7] :
      ( segmentP(app(sk3,X7),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(app(sk3,X7))
      | ~ ssList(X7) ),
    inference(superposition,[],[f201,f427]) ).

fof(f427,plain,
    sk3 = app(nil,sk3),
    inference(subsumption_resolution,[],[f426,f198]) ).

fof(f426,plain,
    ( ~ ssList(sk4)
    | sk3 = app(nil,sk3) ),
    inference(subsumption_resolution,[],[f423,f8]) ).

fof(f423,plain,
    ( sk3 = app(nil,sk3)
    | ~ ssList(nil)
    | ~ ssList(sk4) ),
    inference(trivial_inequality_removal,[],[f421]) ).

fof(f421,plain,
    ( sk4 != sk4
    | ~ ssList(nil)
    | sk3 = app(nil,sk3)
    | ~ ssList(sk4) ),
    inference(superposition,[],[f401,f74]) ).

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

fof(f401,plain,
    ! [X4] :
      ( sk4 != app(X4,sk4)
      | ~ ssList(X4)
      | sk3 = app(X4,sk3) ),
    inference(subsumption_resolution,[],[f387,f188]) ).

fof(f387,plain,
    ! [X4] :
      ( sk3 = app(X4,sk3)
      | ~ ssList(sk3)
      | sk4 != app(X4,sk4)
      | ~ ssList(X4) ),
    inference(superposition,[],[f242,f193]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( sk4 != app(X0,app(X1,sk5))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X1) = sk3 ),
    inference(subsumption_resolution,[],[f241,f85]) ).

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

fof(f241,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | sk4 != app(X0,app(X1,sk5))
      | app(X0,X1) = sk3
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(subsumption_resolution,[],[f236,f192]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | sk4 != app(X0,app(X1,sk5))
      | ~ ssList(sk5)
      | app(X0,X1) = sk3 ),
    inference(superposition,[],[f228,f149]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f228,plain,
    ! [X3] :
      ( sk4 != app(X3,sk5)
      | ~ ssList(X3)
      | sk3 = X3 ),
    inference(subsumption_resolution,[],[f227,f192]) ).

fof(f227,plain,
    ! [X3] :
      ( sk3 = X3
      | ~ ssList(sk5)
      | ~ ssList(X3)
      | sk4 != app(X3,sk5) ),
    inference(subsumption_resolution,[],[f221,f188]) ).

fof(f221,plain,
    ! [X3] :
      ( ~ ssList(X3)
      | sk4 != app(X3,sk5)
      | sk3 = X3
      | ~ ssList(sk3)
      | ~ ssList(sk5) ),
    inference(superposition,[],[f151,f193]) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != app(X2,X1)
      | X0 = X2
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X3)
      | app(app(X0,X1),X2) != X3
      | ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC370-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n029.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 19:00:12 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (10236)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)
% 0.19/0.50  % (10228)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)
% 0.19/0.50  % (10220)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)
% 0.19/0.51  % (10230)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (10227)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (10214)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (10221)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)
% 0.19/0.51  % (10229)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)
% 0.19/0.52  % (10229)Instruction limit reached!
% 0.19/0.52  % (10229)------------------------------
% 0.19/0.52  % (10229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (10222)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)
% 0.19/0.52  % (10230)Instruction limit reached!
% 0.19/0.52  % (10230)------------------------------
% 0.19/0.52  % (10230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (10230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (10230)Termination reason: Unknown
% 0.19/0.52  % (10230)Termination phase: Unused predicate definition removal
% 0.19/0.52  % (10222)Instruction limit reached!
% 0.19/0.52  % (10222)------------------------------
% 0.19/0.52  % (10222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  
% 0.19/0.52  % (10230)Memory used [KB]: 1407
% 0.19/0.52  % (10230)Time elapsed: 0.003 s
% 0.19/0.52  % (10230)Instructions burned: 2 (million)
% 0.19/0.52  % (10230)------------------------------
% 0.19/0.52  % (10230)------------------------------
% 0.19/0.52  % (10222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (10222)Termination reason: Unknown
% 0.19/0.52  % (10222)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (10222)Memory used [KB]: 1535
% 0.19/0.52  % (10222)Time elapsed: 0.003 s
% 0.19/0.52  % (10222)Instructions burned: 3 (million)
% 0.19/0.52  % (10222)------------------------------
% 0.19/0.52  % (10222)------------------------------
% 0.19/0.53  % (10217)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)
% 0.19/0.53  % (10229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (10229)Termination reason: Unknown
% 0.19/0.53  % (10229)Termination phase: Finite model building preprocessing
% 0.19/0.53  
% 0.19/0.53  % (10229)Memory used [KB]: 1535
% 0.19/0.53  % (10229)Time elapsed: 0.006 s
% 0.19/0.53  % (10229)Instructions burned: 7 (million)
% 0.19/0.53  % (10229)------------------------------
% 0.19/0.53  % (10229)------------------------------
% 0.19/0.53  % (10219)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (10237)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)
% 0.19/0.53  % (10228)Instruction limit reached!
% 0.19/0.53  % (10228)------------------------------
% 0.19/0.53  % (10228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (10228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (10228)Termination reason: Unknown
% 0.19/0.53  % (10228)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (10228)Memory used [KB]: 1791
% 0.19/0.53  % (10228)Time elapsed: 0.075 s
% 0.19/0.53  % (10228)Instructions burned: 30 (million)
% 0.19/0.53  % (10228)------------------------------
% 0.19/0.53  % (10228)------------------------------
% 0.19/0.53  % (10218)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)
% 0.19/0.53  % (10239)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)
% 0.19/0.53  % (10215)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)
% 0.19/0.53  % (10226)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.53  % (10227)Instruction limit reached!
% 0.19/0.53  % (10227)------------------------------
% 0.19/0.53  % (10227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (10227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (10227)Termination reason: Unknown
% 0.19/0.53  % (10227)Termination phase: Equality resolution with deletion
% 0.19/0.53  
% 0.19/0.53  % (10227)Memory used [KB]: 1535
% 0.19/0.53  % (10227)Time elapsed: 0.004 s
% 0.19/0.53  % (10227)Instructions burned: 4 (million)
% 0.19/0.53  % (10227)------------------------------
% 0.19/0.53  % (10227)------------------------------
% 0.19/0.53  % (10241)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.53  % (10243)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (10226)Instruction limit reached!
% 0.19/0.53  % (10226)------------------------------
% 0.19/0.53  % (10226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (10226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (10226)Termination reason: Unknown
% 0.19/0.53  % (10226)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (10226)Memory used [KB]: 6012
% 0.19/0.53  % (10226)Time elapsed: 0.005 s
% 0.19/0.53  % (10226)Instructions burned: 6 (million)
% 0.19/0.53  % (10226)------------------------------
% 0.19/0.53  % (10226)------------------------------
% 0.19/0.54  % (10242)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54  % (10221)First to succeed.
% 0.19/0.54  % (10216)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)
% 0.19/0.54  % (10216)Instruction limit reached!
% 0.19/0.54  % (10216)------------------------------
% 0.19/0.54  % (10216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (10216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (10216)Termination reason: Unknown
% 0.19/0.54  % (10216)Termination phase: Equality proxy
% 0.19/0.54  
% 0.19/0.54  % (10216)Memory used [KB]: 1535
% 0.19/0.54  % (10216)Time elapsed: 0.003 s
% 0.19/0.54  % (10216)Instructions burned: 4 (million)
% 0.19/0.54  % (10216)------------------------------
% 0.19/0.54  % (10216)------------------------------
% 0.19/0.54  % (10221)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (10221)------------------------------
% 0.19/0.54  % (10221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (10221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (10221)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (10221)Memory used [KB]: 6140
% 0.19/0.54  % (10221)Time elapsed: 0.117 s
% 0.19/0.54  % (10221)Instructions burned: 16 (million)
% 0.19/0.54  % (10221)------------------------------
% 0.19/0.54  % (10221)------------------------------
% 0.19/0.54  % (10213)Success in time 0.191 s
%------------------------------------------------------------------------------