TSTP Solution File: SWC332-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC332-1 : 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 : n001.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 18:43:12 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   31 (  16 unt;   0 def)
%            Number of atoms       :   54 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  19   ~;  23   |;   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   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f349,plain,
    $false,
    inference(subsumption_resolution,[],[f339,f1]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f339,plain,
    ~ equalelemsP(nil),
    inference(superposition,[],[f229,f336]) ).

fof(f336,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f335,f197]) ).

fof(f197,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f335,plain,
    ( nil = sk3
    | ~ ssList(sk3) ),
    inference(resolution,[],[f322,f80]) ).

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

fof(f322,plain,
    segmentP(nil,sk3),
    inference(superposition,[],[f192,f321]) ).

fof(f321,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f320,f229]) ).

fof(f320,plain,
    ( equalelemsP(sk3)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f316,f47]) ).

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

fof(f316,plain,
    ( ~ ssItem(skaf44(sk3))
    | equalelemsP(sk3)
    | nil = sk4 ),
    inference(superposition,[],[f64,f315]) ).

fof(f315,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f314,f197]) ).

fof(f314,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil)
    | nil = sk4 ),
    inference(resolution,[],[f301,f101]) ).

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

fof(f301,plain,
    ( singletonP(sk3)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f299,f8]) ).

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

fof(f299,plain,
    ( singletonP(sk3)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f297,f193]) ).

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

fof(f297,plain,
    ! [X16] :
      ( neq(sk4,X16)
      | ~ ssList(X16)
      | sk4 = X16 ),
    inference(resolution,[],[f100,f196]) ).

fof(f196,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

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

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

fof(f64,axiom,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

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

fof(f229,plain,
    ~ equalelemsP(sk3),
    inference(subsumption_resolution,[],[f195,f192]) ).

fof(f195,plain,
    ( ~ equalelemsP(sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f194,f190,f191,f191]) ).

fof(f194,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC332-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.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 19:09:02 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (24214)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52  % (24201)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)
% 0.19/0.52  % (24211)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)
% 0.19/0.53  % (24188)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (24187)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)
% 0.19/0.53  % (24191)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)
% 0.19/0.53  % (24186)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)
% 0.19/0.53  % (24190)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)
% 0.19/0.53  % (24195)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (24185)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54  % (24203)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (24207)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)
% 0.19/0.54  % (24200)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)
% 0.19/0.54  % (24192)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (24204)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (24198)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (24205)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)
% 0.19/0.54  % (24194)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (24192)Instruction limit reached!
% 0.19/0.54  % (24192)------------------------------
% 0.19/0.54  % (24192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (24192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (24192)Termination reason: Unknown
% 0.19/0.54  % (24192)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (24192)Memory used [KB]: 5756
% 0.19/0.54  % (24192)Time elapsed: 0.140 s
% 0.19/0.54  % (24192)Instructions burned: 8 (million)
% 0.19/0.54  % (24192)------------------------------
% 0.19/0.54  % (24192)------------------------------
% 0.19/0.54  % (24193)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (24193)Instruction limit reached!
% 0.19/0.55  % (24193)------------------------------
% 0.19/0.55  % (24193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (24193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (24193)Termination reason: Unknown
% 0.19/0.55  % (24193)Termination phase: Function definition elimination
% 0.19/0.55  
% 0.19/0.55  % (24193)Memory used [KB]: 1023
% 0.19/0.55  % (24193)Time elapsed: 0.002 s
% 0.19/0.55  % (24193)Instructions burned: 2 (million)
% 0.19/0.55  % (24193)------------------------------
% 0.19/0.55  % (24193)------------------------------
% 0.19/0.55  % (24212)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55  % (24199)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)
% 0.19/0.55  % (24210)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (24208)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)
% 0.19/0.55  % (24196)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (24213)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (24187)First to succeed.
% 0.19/0.55  % (24202)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (24209)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  % (24187)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (24187)------------------------------
% 0.19/0.56  % (24187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (24187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (24187)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (24187)Memory used [KB]: 1279
% 0.19/0.56  % (24187)Time elapsed: 0.136 s
% 0.19/0.56  % (24187)Instructions burned: 13 (million)
% 0.19/0.56  % (24187)------------------------------
% 0.19/0.56  % (24187)------------------------------
% 0.19/0.56  % (24177)Success in time 0.206 s
%------------------------------------------------------------------------------