TSTP Solution File: SWC348-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC348-1 : 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 : n017.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 18:40:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   29 (  14 unt;   0 def)
%            Number of atoms       :   53 (  18 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  22   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f485,plain,
    $false,
    inference(subsumption_resolution,[],[f479,f3]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f479,plain,
    ~ strictorderedP(nil),
    inference(backward_demodulation,[],[f228,f475]) ).

fof(f475,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f474,f188]) ).

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

fof(f474,plain,
    ( ~ ssList(sk3)
    | nil = sk3 ),
    inference(resolution,[],[f469,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f469,plain,
    segmentP(nil,sk3),
    inference(backward_demodulation,[],[f192,f463]) ).

fof(f463,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f462,f228]) ).

fof(f462,plain,
    ( strictorderedP(sk3)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f452,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f452,plain,
    ( ~ ssItem(skaf44(sk3))
    | nil = sk4
    | strictorderedP(sk3) ),
    inference(superposition,[],[f66,f449]) ).

fof(f449,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f448,f8]) ).

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

fof(f448,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f447,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f447,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | sk3 = cons(skaf44(sk3),nil) ),
    inference(resolution,[],[f446,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f446,plain,
    ( ~ neq(sk4,nil)
    | sk3 = cons(skaf44(sk3),nil) ),
    inference(subsumption_resolution,[],[f445,f188]) ).

fof(f445,plain,
    ( ~ ssList(sk3)
    | ~ neq(sk4,nil)
    | sk3 = cons(skaf44(sk3),nil) ),
    inference(resolution,[],[f101,f193]) ).

fof(f193,axiom,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | cons(skaf44(X0),nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f66,axiom,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f228,plain,
    ~ strictorderedP(sk3),
    inference(subsumption_resolution,[],[f197,f192]) ).

fof(f197,plain,
    ( ~ strictorderedP(sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f194,f190,f191,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(f194,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWC348-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n017.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 18:13:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (10213)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)
% 0.20/0.51  % (10213)Instruction limit reached!
% 0.20/0.51  % (10213)------------------------------
% 0.20/0.51  % (10213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (10231)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)
% 0.20/0.51  % (10223)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (10213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (10213)Termination reason: Unknown
% 0.20/0.51  % (10213)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (10213)Memory used [KB]: 1535
% 0.20/0.51  % (10213)Time elapsed: 0.005 s
% 0.20/0.51  % (10213)Instructions burned: 6 (million)
% 0.20/0.51  % (10213)------------------------------
% 0.20/0.51  % (10213)------------------------------
% 0.20/0.51  % (10216)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)
% 0.20/0.52  % (10223)Instruction limit reached!
% 0.20/0.52  % (10223)------------------------------
% 0.20/0.52  % (10223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10223)Termination reason: Unknown
% 0.20/0.52  % (10223)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (10223)Memory used [KB]: 1535
% 0.20/0.52  % (10223)Time elapsed: 0.007 s
% 0.20/0.52  % (10223)Instructions burned: 6 (million)
% 0.20/0.52  % (10223)------------------------------
% 0.20/0.52  % (10223)------------------------------
% 0.20/0.52  % (10222)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)
% 0.20/0.53  % (10209)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)
% 0.20/0.53  % (10231)Instruction limit reached!
% 0.20/0.53  % (10231)------------------------------
% 0.20/0.53  % (10231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10231)Termination reason: Unknown
% 0.20/0.53  % (10231)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (10231)Memory used [KB]: 6396
% 0.20/0.53  % (10231)Time elapsed: 0.115 s
% 0.20/0.53  % (10231)Instructions burned: 21 (million)
% 0.20/0.53  % (10231)------------------------------
% 0.20/0.53  % (10231)------------------------------
% 0.20/0.53  % (10216)Instruction limit reached!
% 0.20/0.53  % (10216)------------------------------
% 0.20/0.53  % (10216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10216)Termination reason: Unknown
% 0.20/0.53  % (10216)Termination phase: shuffling
% 0.20/0.53  
% 0.20/0.53  % (10216)Memory used [KB]: 1535
% 0.20/0.53  % (10216)Time elapsed: 0.004 s
% 0.20/0.53  % (10216)Instructions burned: 4 (million)
% 0.20/0.53  % (10216)------------------------------
% 0.20/0.53  % (10216)------------------------------
% 0.20/0.54  % (10222)Instruction limit reached!
% 0.20/0.54  % (10222)------------------------------
% 0.20/0.54  % (10222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (10222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (10222)Termination reason: Unknown
% 0.20/0.54  % (10222)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (10222)Memory used [KB]: 1535
% 0.20/0.54  % (10222)Time elapsed: 0.006 s
% 0.20/0.54  % (10222)Instructions burned: 8 (million)
% 0.20/0.54  % (10222)------------------------------
% 0.20/0.54  % (10222)------------------------------
% 0.20/0.54  % (10207)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)
% 0.20/0.54  % (10206)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)
% 0.20/0.54  % (10204)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)
% 0.20/0.54  % (10205)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)
% 0.20/0.54  % (10203)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.55  % (10208)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55  % (10205)Instruction limit reached!
% 0.20/0.55  % (10205)------------------------------
% 0.20/0.55  % (10205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (10205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (10205)Termination reason: Unknown
% 0.20/0.55  % (10205)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (10205)Memory used [KB]: 1535
% 0.20/0.55  % (10205)Time elapsed: 0.003 s
% 0.20/0.55  % (10205)Instructions burned: 6 (million)
% 0.20/0.55  % (10205)------------------------------
% 0.20/0.55  % (10205)------------------------------
% 0.20/0.55  % (10209)First to succeed.
% 0.20/0.55  % (10209)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (10209)------------------------------
% 0.20/0.55  % (10209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (10209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (10209)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (10209)Memory used [KB]: 1663
% 0.20/0.55  % (10209)Time elapsed: 0.114 s
% 0.20/0.55  % (10209)Instructions burned: 17 (million)
% 0.20/0.55  % (10209)------------------------------
% 0.20/0.55  % (10209)------------------------------
% 0.20/0.55  % (10202)Success in time 0.182 s
%------------------------------------------------------------------------------