TSTP Solution File: SWC325-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC325-1 : 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 : n027.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 18:43:10 EDT 2022

% Result   : Unsatisfiable 2.04s 0.65s
% Output   : Refutation 2.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   60 (  17 unt;   0 def)
%            Number of atoms       :  131 (  68 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  136 (  65   ~;  71   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f645,plain,
    $false,
    inference(subsumption_resolution,[],[f644,f587]) ).

fof(f587,plain,
    nil != sk1,
    inference(backward_demodulation,[],[f383,f570]) ).

fof(f570,plain,
    nil = sk2,
    inference(subsumption_resolution,[],[f569,f525]) ).

fof(f525,plain,
    ( sk1 = sF1
    | nil = sk2 ),
    inference(subsumption_resolution,[],[f524,f235]) ).

fof(f235,plain,
    ssList(sk2),
    inference(backward_demodulation,[],[f189,f190]) ).

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

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

fof(f524,plain,
    ( nil = sk2
    | sk1 = sF1
    | ~ ssList(sk2) ),
    inference(subsumption_resolution,[],[f510,f8]) ).

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

fof(f510,plain,
    ( ~ ssList(nil)
    | sk1 = sF1
    | nil = sk2
    | ~ ssList(sk2) ),
    inference(resolution,[],[f100,f243]) ).

fof(f243,plain,
    ( ~ neq(sk2,nil)
    | sk1 = sF1 ),
    inference(forward_demodulation,[],[f242,f190]) ).

fof(f242,plain,
    ( sk1 = sF1
    | ~ neq(sk4,nil) ),
    inference(forward_demodulation,[],[f224,f191]) ).

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

fof(f224,plain,
    ( sk3 = sF1
    | ~ neq(sk4,nil) ),
    inference(definition_folding,[],[f196,f223,f222]) ).

fof(f222,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f223,plain,
    sF1 = app(sF0,sk6),
    introduced(function_definition,[]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

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

fof(f569,plain,
    ( nil = sk2
    | sk1 != sF1 ),
    inference(subsumption_resolution,[],[f568,f523]) ).

fof(f523,plain,
    ( nil = sk2
    | sk2 = sF2 ),
    inference(subsumption_resolution,[],[f522,f235]) ).

fof(f522,plain,
    ( ~ ssList(sk2)
    | nil = sk2
    | sk2 = sF2 ),
    inference(subsumption_resolution,[],[f511,f8]) ).

fof(f511,plain,
    ( ~ ssList(nil)
    | nil = sk2
    | ~ ssList(sk2)
    | sk2 = sF2 ),
    inference(resolution,[],[f100,f236]) ).

fof(f236,plain,
    ( ~ neq(sk2,nil)
    | sk2 = sF2 ),
    inference(forward_demodulation,[],[f234,f190]) ).

fof(f234,plain,
    ( ~ neq(sk2,nil)
    | sk4 = sF2 ),
    inference(backward_demodulation,[],[f226,f190]) ).

fof(f226,plain,
    ( sk4 = sF2
    | ~ neq(sk4,nil) ),
    inference(definition_folding,[],[f197,f225,f222]) ).

fof(f225,plain,
    sF2 = app(sk6,sF0),
    introduced(function_definition,[]) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f568,plain,
    ( sk2 != sF2
    | sk1 != sF1
    | nil = sk2 ),
    inference(subsumption_resolution,[],[f561,f519]) ).

fof(f519,plain,
    ( ssList(sk6)
    | nil = sk2 ),
    inference(subsumption_resolution,[],[f518,f235]) ).

fof(f518,plain,
    ( ssList(sk6)
    | ~ ssList(sk2)
    | nil = sk2 ),
    inference(subsumption_resolution,[],[f512,f8]) ).

fof(f512,plain,
    ( ssList(sk6)
    | ~ ssList(nil)
    | ~ ssList(sk2)
    | nil = sk2 ),
    inference(resolution,[],[f100,f239]) ).

fof(f239,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk6) ),
    inference(forward_demodulation,[],[f195,f190]) ).

fof(f195,axiom,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f561,plain,
    ( sk2 != sF2
    | nil = sk2
    | ~ ssList(sk6)
    | sk1 != sF1 ),
    inference(resolution,[],[f548,f248]) ).

fof(f248,plain,
    ( ~ ssList(sF0)
    | sk2 != sF2
    | ~ ssList(sk6)
    | sk1 != sF1 ),
    inference(forward_demodulation,[],[f247,f223]) ).

fof(f247,plain,
    ( ~ ssList(sF0)
    | ~ ssList(sk6)
    | sk2 != sF2
    | sk1 != app(sF0,sk6) ),
    inference(superposition,[],[f192,f225]) ).

fof(f192,axiom,
    ! [X6,X7] :
      ( sk2 != app(X6,X7)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk1 != app(X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f548,plain,
    ( ssList(sF0)
    | nil = sk2 ),
    inference(resolution,[],[f521,f378]) ).

fof(f378,plain,
    ( ~ ssItem(sk5)
    | ssList(sF0) ),
    inference(subsumption_resolution,[],[f377,f8]) ).

fof(f377,plain,
    ( ssList(sF0)
    | ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f86,f222]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f521,plain,
    ( ssItem(sk5)
    | nil = sk2 ),
    inference(subsumption_resolution,[],[f520,f235]) ).

fof(f520,plain,
    ( ssItem(sk5)
    | nil = sk2
    | ~ ssList(sk2) ),
    inference(subsumption_resolution,[],[f513,f8]) ).

fof(f513,plain,
    ( nil = sk2
    | ~ ssList(nil)
    | ~ ssList(sk2)
    | ssItem(sk5) ),
    inference(resolution,[],[f100,f238]) ).

fof(f238,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f383,plain,
    sk1 != sk2,
    inference(subsumption_resolution,[],[f382,f352]) ).

fof(f352,plain,
    sk1 = app(nil,sk1),
    inference(resolution,[],[f74,f186]) ).

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

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

fof(f382,plain,
    ( sk1 != app(nil,sk1)
    | sk1 != sk2 ),
    inference(subsumption_resolution,[],[f381,f186]) ).

fof(f381,plain,
    ( ~ ssList(sk1)
    | sk1 != sk2
    | sk1 != app(nil,sk1) ),
    inference(subsumption_resolution,[],[f380,f8]) ).

fof(f380,plain,
    ( ~ ssList(nil)
    | sk1 != app(nil,sk1)
    | sk1 != sk2
    | ~ ssList(sk1) ),
    inference(superposition,[],[f192,f318]) ).

fof(f318,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f186]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f644,plain,
    nil = sk1,
    inference(trivial_inequality_removal,[],[f643]) ).

fof(f643,plain,
    ( nil = sk1
    | nil != nil ),
    inference(superposition,[],[f241,f571]) ).

fof(f571,plain,
    nil = sk4,
    inference(backward_demodulation,[],[f190,f570]) ).

fof(f241,plain,
    ( nil != sk4
    | nil = sk1 ),
    inference(backward_demodulation,[],[f193,f191]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC325-1 : 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
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 19:02:01 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.57  % (22138)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)
% 0.20/0.57  % (22130)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)
% 0.20/0.57  % (22122)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)
% 0.20/0.57  % (22131)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)
% 0.20/0.58  % (22123)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58  % (22123)Instruction limit reached!
% 0.20/0.58  % (22123)------------------------------
% 0.20/0.58  % (22123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (22123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (22123)Termination reason: Unknown
% 0.20/0.58  % (22123)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (22123)Memory used [KB]: 5628
% 0.20/0.58  % (22123)Time elapsed: 0.144 s
% 0.20/0.58  % (22123)Instructions burned: 7 (million)
% 0.20/0.58  % (22123)------------------------------
% 0.20/0.58  % (22123)------------------------------
% 0.20/0.58  % (22139)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)
% 0.20/0.60  TRYING [1]
% 0.20/0.61  TRYING [2]
% 0.20/0.61  % (22118)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)
% 0.20/0.62  % (22121)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)
% 0.20/0.62  % (22120)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.62  % (22141)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.62  % (22137)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.62  % (22135)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)
% 0.20/0.62  % (22142)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)
% 0.20/0.62  % (22136)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)
% 0.20/0.63  % (22133)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.63  % (22127)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)
% 0.20/0.63  % (22128)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.63  % (22134)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.63  % (22119)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)
% 0.20/0.63  % (22116)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)
% 0.20/0.64  % (22129)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.64  % (22125)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)
% 0.20/0.64  % (22126)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.64  % (22144)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.64  % (22131)First to succeed.
% 0.20/0.64  % (22117)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)
% 2.04/0.64  % (22143)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)
% 2.04/0.64  % (22145)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)
% 2.04/0.65  % (22131)Refutation found. Thanks to Tanya!
% 2.04/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.04/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.65  % (22131)------------------------------
% 2.04/0.65  % (22131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.65  % (22131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.65  % (22131)Termination reason: Refutation
% 2.04/0.65  
% 2.04/0.65  % (22131)Memory used [KB]: 1535
% 2.04/0.65  % (22131)Time elapsed: 0.187 s
% 2.04/0.65  % (22131)Instructions burned: 27 (million)
% 2.04/0.65  % (22131)------------------------------
% 2.04/0.65  % (22131)------------------------------
% 2.04/0.65  % (22115)Success in time 0.291 s
%------------------------------------------------------------------------------