TSTP Solution File: SWC322-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC322-1 : 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 : n005.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 18:43:09 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (   6 unt;   0 def)
%            Number of atoms       :   72 (  59 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   72 (  33   ~;  39   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f271,plain,
    $false,
    inference(subsumption_resolution,[],[f269,f259]) ).

fof(f259,plain,
    nil != sk3,
    inference(subsumption_resolution,[],[f258,f204]) ).

fof(f204,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f191,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(f200,axiom,
    ( nil != sk1
    | sk2 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f258,plain,
    ( nil != sk3
    | sk4 != app(sk6,cons(sk5,nil)) ),
    inference(subsumption_resolution,[],[f257,f208]) ).

fof(f208,plain,
    ( sk3 != app(cons(sk5,nil),sk6)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f201,f191,f191]) ).

fof(f201,axiom,
    ( nil != sk1
    | sk1 != app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f257,plain,
    ( nil != sk3
    | sk3 = app(cons(sk5,nil),sk6)
    | sk4 != app(sk6,cons(sk5,nil)) ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f256,plain,
    ( nil != sk3
    | sk4 != app(sk6,cons(sk5,nil))
    | nil != sk3
    | sk3 = app(cons(sk5,nil),sk6) ),
    inference(resolution,[],[f243,f205]) ).

fof(f205,plain,
    ( ssList(sk6)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f191]) ).

fof(f199,axiom,
    ( nil != sk1
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f243,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | nil != sk3
      | sk3 = app(cons(sk5,nil),X1)
      | sk4 != app(X1,cons(sk5,nil)) ),
    inference(resolution,[],[f192,f202]) ).

fof(f202,plain,
    ( ssItem(sk5)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f195,f191]) ).

fof(f195,axiom,
    ( ssItem(sk5)
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f192,axiom,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | sk4 != app(X7,cons(X6,nil))
      | sk3 = app(cons(X6,nil),X7)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f269,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f268]) ).

fof(f268,plain,
    ( nil != nil
    | nil = sk3 ),
    inference(superposition,[],[f193,f250]) ).

fof(f250,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f249,f207]) ).

fof(f207,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | nil = sk4 ),
    inference(definition_unfolding,[],[f197,f190,f190]) ).

fof(f197,axiom,
    ( sk2 = app(sk6,cons(sk5,nil))
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f249,plain,
    ( sk4 != app(sk6,cons(sk5,nil))
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f248,f210]) ).

fof(f210,plain,
    ( sk3 != app(cons(sk5,nil),sk6)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f198,f190,f191]) ).

fof(f198,axiom,
    ( nil = sk2
    | sk1 != app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f248,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | nil = sk4
    | sk4 != app(sk6,cons(sk5,nil)) ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ( nil = sk4
    | nil = sk4
    | sk3 = app(cons(sk5,nil),sk6)
    | sk4 != app(sk6,cons(sk5,nil)) ),
    inference(resolution,[],[f242,f206]) ).

fof(f206,plain,
    ( ssList(sk6)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f196,f190]) ).

fof(f196,axiom,
    ( ssList(sk6)
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f242,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk3 = app(cons(sk5,nil),X0)
      | sk4 != app(X0,cons(sk5,nil))
      | nil = sk4 ),
    inference(resolution,[],[f192,f211]) ).

fof(f211,plain,
    ( ssItem(sk5)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f194,f190]) ).

fof(f194,axiom,
    ( ssItem(sk5)
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC322-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % 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 : n005.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 18:46:48 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.45  % (16400)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.46  % (16411)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51  % (16391)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)
% 0.19/0.51  % (16400)Instruction limit reached!
% 0.19/0.51  % (16400)------------------------------
% 0.19/0.51  % (16400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (16400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (16400)Termination reason: Unknown
% 0.19/0.51  % (16400)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (16400)Memory used [KB]: 6652
% 0.19/0.51  % (16400)Time elapsed: 0.115 s
% 0.19/0.51  % (16400)Instructions burned: 51 (million)
% 0.19/0.51  % (16400)------------------------------
% 0.19/0.51  % (16400)------------------------------
% 0.19/0.51  % (16398)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (16398)Instruction limit reached!
% 0.19/0.51  % (16398)------------------------------
% 0.19/0.51  % (16398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (16398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (16398)Termination reason: Unknown
% 0.19/0.51  % (16398)Termination phase: Function definition elimination
% 0.19/0.51  
% 0.19/0.51  % (16398)Memory used [KB]: 1023
% 0.19/0.51  % (16398)Time elapsed: 0.002 s
% 0.19/0.51  % (16398)Instructions burned: 2 (million)
% 0.19/0.51  % (16398)------------------------------
% 0.19/0.51  % (16398)------------------------------
% 0.19/0.52  % (16406)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  % (16412)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)
% 0.19/0.52  % (16394)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (16416)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)
% 0.19/0.52  % (16415)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (16402)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (16395)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  % (16392)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  % (16403)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (16408)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (16419)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)
% 0.19/0.53  % (16393)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  % (16390)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)
% 0.19/0.53  % (16404)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  % (16417)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)
% 0.19/0.54  % (16407)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (16418)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (16396)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)
% 0.19/0.54  % (16409)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  % (16401)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)
% 0.19/0.54  % (16399)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  % (16410)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  % (16412)First to succeed.
% 0.19/0.55  % (16412)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (16412)------------------------------
% 0.19/0.55  % (16412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (16412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (16412)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (16412)Memory used [KB]: 1151
% 0.19/0.55  % (16412)Time elapsed: 0.119 s
% 0.19/0.55  % (16412)Instructions burned: 8 (million)
% 0.19/0.55  % (16412)------------------------------
% 0.19/0.55  % (16412)------------------------------
% 0.19/0.55  % (16389)Success in time 0.203 s
%------------------------------------------------------------------------------