TSTP Solution File: SWC241-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC241-1 : 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 : n012.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 1.53s 0.55s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   34 (  11 unt;   0 def)
%            Number of atoms       :   95 (  18 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  127 (  66   ~;  61   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f375,plain,
    $false,
    inference(unit_resulting_resolution,[],[f257,f354,f364,f374,f103]) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | leq(X0,X1)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f374,plain,
    ~ leq(sk6,sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f373,f256]) ).

fof(f256,plain,
    ssList(sk7),
    inference(subsumption_resolution,[],[f199,f206]) ).

fof(f206,plain,
    nil != sk3,
    inference(definition_unfolding,[],[f192,f191]) ).

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

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

fof(f199,axiom,
    ( ssList(sk7)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f373,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7) ),
    inference(subsumption_resolution,[],[f372,f257]) ).

fof(f372,plain,
    ( ~ ssItem(sk6)
    | ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7) ),
    inference(subsumption_resolution,[],[f371,f267]) ).

fof(f267,plain,
    ssList(sk8),
    inference(subsumption_resolution,[],[f200,f206]) ).

fof(f200,axiom,
    ( nil = sk3
    | ssList(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f371,plain,
    ( ~ ssList(sk8)
    | ~ ssItem(sk6)
    | ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7) ),
    inference(trivial_inequality_removal,[],[f370]) ).

fof(f370,plain,
    ( ~ ssItem(sk6)
    | sk3 != sk3
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ leq(sk6,sk5(sk8,sk7,sk6)) ),
    inference(superposition,[],[f210,f263]) ).

fof(f263,plain,
    sk3 = app(app(sk7,cons(sk6,nil)),sk8),
    inference(subsumption_resolution,[],[f201,f206]) ).

fof(f201,axiom,
    ( nil = sk3
    | sk3 = app(app(sk7,cons(sk6,nil)),sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f210,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ leq(X6,sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f197,f191]) ).

fof(f197,axiom,
    ! [X8,X6,X7] :
      ( sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ leq(X6,sk5(X8,X7,X6))
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f364,plain,
    lt(sk6,sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f363,f267]) ).

fof(f363,plain,
    ( lt(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8) ),
    inference(subsumption_resolution,[],[f362,f256]) ).

fof(f362,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk8)
    | lt(sk6,sk5(sk8,sk7,sk6)) ),
    inference(subsumption_resolution,[],[f361,f257]) ).

fof(f361,plain,
    ( ~ ssItem(sk6)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | lt(sk6,sk5(sk8,sk7,sk6)) ),
    inference(trivial_inequality_removal,[],[f360]) ).

fof(f360,plain,
    ( ~ ssList(sk8)
    | sk3 != sk3
    | ~ ssItem(sk6)
    | lt(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7) ),
    inference(superposition,[],[f204,f263]) ).

fof(f204,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssItem(X6)
      | ~ ssList(X8)
      | lt(X6,sk5(X8,X7,X6))
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f196,f191]) ).

fof(f196,axiom,
    ! [X8,X6,X7] :
      ( ~ ssList(X8)
      | ~ ssList(X7)
      | lt(X6,sk5(X8,X7,X6))
      | ~ ssItem(X6)
      | sk1 != app(app(X7,cons(X6,nil)),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f354,plain,
    ssItem(sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f353,f267]) ).

fof(f353,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk8) ),
    inference(subsumption_resolution,[],[f352,f256]) ).

fof(f352,plain,
    ( ~ ssList(sk7)
    | ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk8) ),
    inference(subsumption_resolution,[],[f351,f257]) ).

fof(f351,plain,
    ( ~ ssItem(sk6)
    | ~ ssList(sk8)
    | ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk7) ),
    inference(trivial_inequality_removal,[],[f350]) ).

fof(f350,plain,
    ( sk3 != sk3
    | ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | ssItem(sk5(sk8,sk7,sk6)) ),
    inference(superposition,[],[f205,f263]) ).

fof(f205,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | ssItem(sk5(X8,X7,X6))
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | ~ ssList(X8) ),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f257,plain,
    ssItem(sk6),
    inference(subsumption_resolution,[],[f198,f206]) ).

fof(f198,axiom,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC241-1 : 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
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:36:50 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.50  % (14630)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)
% 0.18/0.50  % (14651)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)
% 0.18/0.51  % (14631)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)
% 0.18/0.51  % (14643)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)
% 0.18/0.52  % (14654)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (14637)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (14629)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)
% 0.18/0.52  % (14637)Instruction limit reached!
% 0.18/0.52  % (14637)------------------------------
% 0.18/0.52  % (14637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (14637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (14637)Termination reason: Unknown
% 0.18/0.52  % (14637)Termination phase: Property scanning
% 0.18/0.52  
% 0.18/0.52  % (14637)Memory used [KB]: 1151
% 0.18/0.52  % (14637)Time elapsed: 0.002 s
% 0.18/0.52  % (14637)Instructions burned: 2 (million)
% 0.18/0.52  % (14637)------------------------------
% 0.18/0.52  % (14637)------------------------------
% 0.18/0.52  % (14633)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.52  % (14634)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)
% 1.39/0.52  % (14642)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.53  % (14655)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)
% 1.39/0.53  % (14657)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.53  % (14653)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.39/0.53  % (14632)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)
% 1.39/0.53  % (14646)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.39/0.53  % (14635)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)
% 1.39/0.53  % (14649)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)
% 1.39/0.53  % (14645)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)
% 1.39/0.53  % (14636)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.39/0.54  % (14647)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.54  % (14658)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)
% 1.39/0.54  % (14650)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.53/0.54  % (14636)Instruction limit reached!
% 1.53/0.54  % (14636)------------------------------
% 1.53/0.54  % (14636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54  % (14652)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)
% 1.53/0.54  % (14639)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.54  % (14641)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.53/0.55  TRYING [1]
% 1.53/0.55  % (14638)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)
% 1.53/0.55  % (14636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (14636)Termination reason: Unknown
% 1.53/0.55  % (14636)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (14636)Memory used [KB]: 5628
% 1.53/0.55  % (14636)Time elapsed: 0.146 s
% 1.53/0.55  % (14636)Instructions burned: 7 (million)
% 1.53/0.55  % (14636)------------------------------
% 1.53/0.55  % (14636)------------------------------
% 1.53/0.55  % (14630)First to succeed.
% 1.53/0.55  % (14640)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)
% 1.53/0.55  % (14630)Refutation found. Thanks to Tanya!
% 1.53/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.55  % (14630)------------------------------
% 1.53/0.55  % (14630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (14630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (14630)Termination reason: Refutation
% 1.53/0.55  
% 1.53/0.55  % (14630)Memory used [KB]: 6012
% 1.53/0.55  % (14630)Time elapsed: 0.151 s
% 1.53/0.55  % (14630)Instructions burned: 20 (million)
% 1.53/0.55  % (14630)------------------------------
% 1.53/0.55  % (14630)------------------------------
% 1.53/0.55  % (14628)Success in time 0.207 s
%------------------------------------------------------------------------------