TSTP Solution File: SWC024-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC024-1 : 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 : n019.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 18:41:16 EDT 2022

% Result   : Unsatisfiable 1.42s 0.59s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   38 (  20 unt;   0 def)
%            Number of atoms       :   78 (  16 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   85 (  45   ~;  40   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f484,plain,
    $false,
    inference(subsumption_resolution,[],[f483,f235]) ).

fof(f235,plain,
    frontsegP(nil,nil),
    inference(resolution,[],[f61,f8]) ).

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

fof(f61,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f483,plain,
    ~ frontsegP(nil,nil),
    inference(forward_demodulation,[],[f475,f481]) ).

fof(f481,plain,
    nil = sk4,
    inference(trivial_inequality_removal,[],[f471]) ).

fof(f471,plain,
    ( nil = sk4
    | nil != nil ),
    inference(superposition,[],[f198,f408]) ).

fof(f408,plain,
    nil = sk3,
    inference(resolution,[],[f384,f291]) ).

fof(f291,plain,
    ( ~ frontsegP(sk4,sk3)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f290,f199]) ).

fof(f199,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f290,plain,
    ( ~ frontsegP(sk4,sk3)
    | ~ ssList(sk3)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f289,f237]) ).

fof(f237,plain,
    frontsegP(sk3,sk3),
    inference(resolution,[],[f61,f199]) ).

fof(f289,plain,
    ( ~ frontsegP(sk3,sk3)
    | ~ ssList(sk3)
    | nil = sk3
    | ~ frontsegP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f288,f8]) ).

fof(f288,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | ~ frontsegP(sk4,sk3)
    | ~ frontsegP(sk3,sk3)
    | ~ ssList(sk3) ),
    inference(resolution,[],[f283,f202]) ).

fof(f202,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ frontsegP(sk3,X6)
      | ~ ssList(X6)
      | ~ frontsegP(sk4,X6) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

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

fof(f193,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ frontsegP(sk1,X6)
      | ~ ssList(X6)
      | ~ frontsegP(sk2,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f283,plain,
    ! [X11] :
      ( neq(sk3,X11)
      | ~ ssList(X11)
      | sk3 = X11 ),
    inference(resolution,[],[f100,f199]) ).

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

fof(f384,plain,
    frontsegP(sk4,sk3),
    inference(subsumption_resolution,[],[f383,f189]) ).

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

fof(f383,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk4) ),
    inference(subsumption_resolution,[],[f382,f194]) ).

fof(f194,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f382,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk4) ),
    inference(subsumption_resolution,[],[f371,f199]) ).

fof(f371,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | frontsegP(sk4,sk3)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f222,f195]) ).

fof(f195,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | frontsegP(app(X0,X1),X0)
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | frontsegP(X2,X0)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f198,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f475,plain,
    ~ frontsegP(nil,sk4),
    inference(superposition,[],[f247,f408]) ).

fof(f247,plain,
    ~ frontsegP(sk3,sk4),
    inference(resolution,[],[f238,f234]) ).

fof(f234,plain,
    ( ~ frontsegP(sk4,sk4)
    | ~ frontsegP(sk3,sk4) ),
    inference(subsumption_resolution,[],[f233,f189]) ).

fof(f233,plain,
    ( ~ frontsegP(sk3,sk4)
    | ~ frontsegP(sk4,sk4)
    | ~ ssList(sk4) ),
    inference(resolution,[],[f202,f200]) ).

fof(f200,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f238,plain,
    frontsegP(sk4,sk4),
    inference(resolution,[],[f61,f189]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC024-1 : 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 : n019.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 18:01:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (29971)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (29979)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.26/0.53  % (29985)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)
% 1.26/0.53  % (29961)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)
% 1.26/0.53  % (29987)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)
% 1.26/0.53  % (29962)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.26/0.53  % (29969)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)
% 1.26/0.54  % (29963)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)
% 1.26/0.54  % (29960)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)
% 1.42/0.54  % (29986)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.54  % (29958)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)
% 1.42/0.54  % (29975)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.54  % (29980)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)
% 1.42/0.54  % (29959)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)
% 1.42/0.54  % (29974)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)
% 1.42/0.54  % (29978)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)
% 1.42/0.54  % (29977)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)
% 1.42/0.55  % (29967)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)
% 1.42/0.55  % (29972)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)
% 1.42/0.55  % (29976)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.55  % (29970)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.55  % (29973)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)
% 1.42/0.55  % (29966)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.55  % (29966)Instruction limit reached!
% 1.42/0.55  % (29966)------------------------------
% 1.42/0.55  % (29966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (29966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (29966)Termination reason: Unknown
% 1.42/0.55  % (29966)Termination phase: Function definition elimination
% 1.42/0.55  
% 1.42/0.55  % (29966)Memory used [KB]: 1023
% 1.42/0.55  % (29966)Time elapsed: 0.002 s
% 1.42/0.55  % (29966)Instructions burned: 2 (million)
% 1.42/0.55  % (29966)------------------------------
% 1.42/0.55  % (29966)------------------------------
% 1.42/0.55  % (29984)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)
% 1.42/0.55  % (29968)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.55  % (29965)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.56  % (29982)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.56  % (29981)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)
% 1.42/0.56  % (29983)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.56  % (29964)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)
% 1.42/0.58  TRYING [1]
% 1.42/0.58  % (29965)Instruction limit reached!
% 1.42/0.58  % (29965)------------------------------
% 1.42/0.58  % (29965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58  % (29965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58  % (29965)Termination reason: Unknown
% 1.42/0.58  % (29965)Termination phase: Saturation
% 1.42/0.58  
% 1.42/0.58  % (29965)Memory used [KB]: 5628
% 1.42/0.58  % (29965)Time elapsed: 0.173 s
% 1.42/0.58  % (29965)Instructions burned: 7 (million)
% 1.42/0.58  % (29965)------------------------------
% 1.42/0.58  % (29965)------------------------------
% 1.42/0.58  TRYING [2]
% 1.42/0.58  % (29959)Refutation not found, incomplete strategy% (29959)------------------------------
% 1.42/0.58  % (29959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58  % (29959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58  % (29959)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.58  
% 1.42/0.58  % (29959)Memory used [KB]: 5884
% 1.42/0.58  % (29959)Time elapsed: 0.163 s
% 1.42/0.58  % (29959)Instructions burned: 15 (million)
% 1.42/0.58  % (29959)------------------------------
% 1.42/0.58  % (29959)------------------------------
% 1.42/0.58  TRYING [1]
% 1.42/0.59  % (29960)First to succeed.
% 1.42/0.59  TRYING [2]
% 1.42/0.59  % (29960)Refutation found. Thanks to Tanya!
% 1.42/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.59  % (29960)------------------------------
% 1.42/0.59  % (29960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.59  % (29960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.59  % (29960)Termination reason: Refutation
% 1.42/0.59  
% 1.42/0.59  % (29960)Memory used [KB]: 1279
% 1.42/0.59  % (29960)Time elapsed: 0.172 s
% 1.42/0.59  % (29960)Instructions burned: 18 (million)
% 1.42/0.59  % (29960)------------------------------
% 1.42/0.59  % (29960)------------------------------
% 1.42/0.59  % (29957)Success in time 0.234 s
%------------------------------------------------------------------------------