TSTP Solution File: SWC018-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC018-1 : 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 : n023.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 18:41:14 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   41 (  14 unt;   0 def)
%            Number of atoms       :  103 (  36 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  123 (  61   ~;  62   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f561,plain,
    $false,
    inference(subsumption_resolution,[],[f560,f558]) ).

fof(f558,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f556]) ).

fof(f556,plain,
    ( nil != nil
    | nil = sk3 ),
    inference(superposition,[],[f369,f485]) ).

fof(f485,plain,
    nil = sk4,
    inference(resolution,[],[f446,f360]) ).

fof(f360,plain,
    ( ~ frontsegP(sk4,sk3)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f359,f196]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f359,plain,
    ( nil = sk3
    | ~ frontsegP(sk4,sk3)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f358,f244]) ).

fof(f244,plain,
    frontsegP(sk3,sk3),
    inference(resolution,[],[f61,f188]) ).

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

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

fof(f358,plain,
    ( nil = sk3
    | ~ frontsegP(sk3,sk3)
    | ~ frontsegP(sk4,sk3)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f357,f8]) ).

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

fof(f357,plain,
    ( nil = sk3
    | nil = sk4
    | ~ frontsegP(sk4,sk3)
    | ~ ssList(nil)
    | ~ frontsegP(sk3,sk3) ),
    inference(subsumption_resolution,[],[f356,f188]) ).

fof(f356,plain,
    ( ~ ssList(sk3)
    | nil = sk4
    | ~ frontsegP(sk3,sk3)
    | ~ frontsegP(sk4,sk3)
    | nil = sk3
    | ~ ssList(nil) ),
    inference(resolution,[],[f316,f204]) ).

fof(f204,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ frontsegP(sk4,X6)
      | ~ ssList(X6)
      | nil = sk4
      | ~ frontsegP(sk3,X6) ),
    inference(definition_unfolding,[],[f198,f191,f190,f190]) ).

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

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

fof(f198,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ frontsegP(sk1,X6)
      | nil = sk2
      | ~ frontsegP(sk2,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f316,plain,
    ! [X19] :
      ( neq(sk3,X19)
      | sk3 = X19
      | ~ ssList(X19) ),
    inference(resolution,[],[f100,f188]) ).

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

fof(f446,plain,
    frontsegP(sk4,sk3),
    inference(subsumption_resolution,[],[f445,f189]) ).

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

fof(f445,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk4) ),
    inference(subsumption_resolution,[],[f444,f188]) ).

fof(f444,plain,
    ( ~ ssList(sk3)
    | frontsegP(sk4,sk3)
    | ~ ssList(sk4) ),
    inference(subsumption_resolution,[],[f433,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f433,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk3)
    | ~ ssList(sk4)
    | frontsegP(sk4,sk3) ),
    inference(superposition,[],[f215,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f215,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f144]) ).

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

fof(f369,plain,
    ( nil != sk4
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f368,f188]) ).

fof(f368,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f364,f192]) ).

fof(f364,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | ~ ssList(sk3)
    | nil != sk4 ),
    inference(superposition,[],[f118,f193]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f560,plain,
    nil != sk3,
    inference(subsumption_resolution,[],[f548,f250]) ).

fof(f250,plain,
    ~ neq(nil,nil),
    inference(resolution,[],[f236,f8]) ).

fof(f236,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(duplicate_literal_removal,[],[f222]) ).

fof(f222,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ ssList(X0)
      | ~ neq(X0,X1)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f548,plain,
    ( neq(nil,nil)
    | nil != sk3 ),
    inference(superposition,[],[f206,f485]) ).

fof(f206,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

fof(f199,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC018-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13  % 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 : n023.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 18:18:05 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (17020)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)
% 0.20/0.50  % (17004)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)
% 0.20/0.50  % (17021)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)
% 0.20/0.51  % (17012)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)
% 0.20/0.51  % (17013)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)
% 0.20/0.51  % (17005)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.52  % (17005)Instruction limit reached!
% 0.20/0.52  % (17005)------------------------------
% 0.20/0.52  % (17005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (17005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (17005)Termination reason: Unknown
% 0.20/0.52  % (17005)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (17005)Memory used [KB]: 5628
% 0.20/0.52  % (17005)Time elapsed: 0.071 s
% 0.20/0.52  % (17005)Instructions burned: 7 (million)
% 0.20/0.52  % (17005)------------------------------
% 0.20/0.52  % (17005)------------------------------
% 0.20/0.53  % (17003)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)
% 0.20/0.53  % (17002)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (17000)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)
% 0.20/0.53  % (16998)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)
% 0.20/0.53  % (16999)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)
% 0.20/0.53  % (17001)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)
% 0.20/0.53  TRYING [2]
% 0.20/0.54  % (17018)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)
% 0.20/0.54  % (17027)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)
% 0.20/0.54  % (17014)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)
% 0.20/0.54  % (17016)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (17017)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)
% 0.20/0.54  % (17015)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (17010)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (17019)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (17006)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (17006)Instruction limit reached!
% 0.20/0.54  % (17006)------------------------------
% 0.20/0.54  % (17006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (17006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (17006)Termination reason: Unknown
% 0.20/0.54  % (17006)Termination phase: Function definition elimination
% 0.20/0.54  
% 0.20/0.54  % (17006)Memory used [KB]: 1023
% 0.20/0.54  % (17006)Time elapsed: 0.002 s
% 0.20/0.54  % (17006)Instructions burned: 2 (million)
% 0.20/0.54  % (17006)------------------------------
% 0.20/0.54  % (17006)------------------------------
% 0.20/0.55  % (17022)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (17008)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (17007)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)
% 0.20/0.55  % (17009)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)
% 0.20/0.55  % (17026)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (17011)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (17024)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)
% 0.20/0.55  % (17025)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)
% 0.20/0.55  % (17004)Instruction limit reached!
% 0.20/0.55  % (17004)------------------------------
% 0.20/0.55  % (17004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (17004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (17004)Termination reason: Unknown
% 0.20/0.55  % (17004)Termination phase: Finite model building constraint generation
% 0.20/0.55  
% 0.20/0.55  % (17004)Memory used [KB]: 7164
% 0.20/0.55  % (17004)Time elapsed: 0.132 s
% 0.20/0.55  % (17004)Instructions burned: 51 (million)
% 0.20/0.55  % (17004)------------------------------
% 0.20/0.55  % (17004)------------------------------
% 0.20/0.56  TRYING [1]
% 0.20/0.56  % (17000)First to succeed.
% 0.20/0.56  % (17000)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.56  % (17000)------------------------------
% 1.65/0.56  % (17000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56  % (17000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56  % (17000)Termination reason: Refutation
% 1.65/0.56  
% 1.65/0.56  % (17000)Memory used [KB]: 1407
% 1.65/0.56  % (17000)Time elapsed: 0.139 s
% 1.65/0.56  % (17000)Instructions burned: 23 (million)
% 1.65/0.56  % (17000)------------------------------
% 1.65/0.56  % (17000)------------------------------
% 1.65/0.56  % (16997)Success in time 0.212 s
%------------------------------------------------------------------------------