TSTP Solution File: SWC020-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC020-1 : 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 : n026.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 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :   62 (  27 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   52 (  22   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f264,plain,
    $false,
    inference(subsumption_resolution,[],[f261,f246]) ).

fof(f246,plain,
    nil = sk2,
    inference(subsumption_resolution,[],[f244,f232]) ).

fof(f232,plain,
    ( frontsegP(sk2,sk1)
    | nil = sk2 ),
    inference(backward_demodulation,[],[f230,f191]) ).

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

fof(f230,plain,
    ( frontsegP(sk2,sk3)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f229,f190]) ).

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

fof(f229,plain,
    ( nil = sk2
    | frontsegP(sk4,sk3) ),
    inference(backward_demodulation,[],[f195,f190]) ).

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

fof(f244,plain,
    ( nil = sk2
    | ~ frontsegP(sk2,sk1) ),
    inference(resolution,[],[f243,f237]) ).

fof(f237,plain,
    ( neq(sk1,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f236,f191]) ).

fof(f236,plain,
    ( neq(sk3,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f194,axiom,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f243,plain,
    ( ~ neq(sk1,nil)
    | ~ frontsegP(sk2,sk1) ),
    inference(subsumption_resolution,[],[f242,f186]) ).

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

fof(f242,plain,
    ( ~ ssList(sk1)
    | ~ frontsegP(sk2,sk1)
    | ~ neq(sk1,nil) ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f241,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk1)
    | ~ frontsegP(sk2,sk1)
    | ~ neq(sk1,nil) ),
    inference(resolution,[],[f61,f192]) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6)
      | ~ ssList(X6)
      | ~ neq(X6,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

fof(f261,plain,
    nil != sk2,
    inference(trivial_inequality_removal,[],[f257]) ).

fof(f257,plain,
    ( nil != nil
    | nil != sk2 ),
    inference(backward_demodulation,[],[f193,f254]) ).

fof(f254,plain,
    nil = sk1,
    inference(subsumption_resolution,[],[f253,f250]) ).

fof(f250,plain,
    ( nil = sk1
    | frontsegP(nil,sk1) ),
    inference(backward_demodulation,[],[f235,f246]) ).

fof(f235,plain,
    ( frontsegP(sk2,sk1)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f233,f191]) ).

fof(f233,plain,
    ( nil = sk3
    | frontsegP(sk2,sk1) ),
    inference(backward_demodulation,[],[f228,f191]) ).

fof(f228,plain,
    ( nil = sk3
    | frontsegP(sk2,sk3) ),
    inference(backward_demodulation,[],[f197,f190]) ).

fof(f197,axiom,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f253,plain,
    ( nil = sk1
    | ~ frontsegP(nil,sk1) ),
    inference(forward_demodulation,[],[f245,f246]) ).

fof(f245,plain,
    ( ~ frontsegP(sk2,sk1)
    | nil = sk1 ),
    inference(resolution,[],[f243,f234]) ).

fof(f234,plain,
    ( neq(sk1,nil)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f231,f191]) ).

fof(f231,plain,
    ( nil = sk3
    | neq(sk1,nil) ),
    inference(backward_demodulation,[],[f196,f191]) ).

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

fof(f193,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC020-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % 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 : n026.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 18:11:36 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (19061)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (19069)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  % (19061)Instruction limit reached!
% 0.20/0.51  % (19061)------------------------------
% 0.20/0.51  % (19061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (19061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (19061)Termination reason: Unknown
% 0.20/0.51  % (19061)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (19061)Memory used [KB]: 5628
% 0.20/0.51  % (19061)Time elapsed: 0.100 s
% 0.20/0.51  % (19061)Instructions burned: 7 (million)
% 0.20/0.51  % (19061)------------------------------
% 0.20/0.51  % (19061)------------------------------
% 0.20/0.51  % (19077)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  % (19076)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)
% 0.20/0.52  % (19068)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)
% 0.20/0.52  % (19063)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)
% 0.20/0.52  % (19070)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)
% 0.20/0.52  % (19069)First to succeed.
% 0.20/0.52  % (19078)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (19081)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)
% 0.20/0.53  % (19062)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (19058)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  % (19062)Instruction limit reached!
% 0.20/0.53  % (19062)------------------------------
% 0.20/0.53  % (19062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19062)Termination reason: Unknown
% 0.20/0.53  % (19062)Termination phase: Function definition elimination
% 0.20/0.53  
% 0.20/0.53  % (19062)Memory used [KB]: 1023
% 0.20/0.53  % (19062)Time elapsed: 0.002 s
% 0.20/0.53  % (19062)Instructions burned: 2 (million)
% 0.20/0.53  % (19062)------------------------------
% 0.20/0.53  % (19062)------------------------------
% 0.20/0.53  % (19083)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)
% 0.20/0.53  % (19056)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  % (19069)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (19069)------------------------------
% 0.20/0.53  % (19069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19069)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (19069)Memory used [KB]: 1279
% 0.20/0.53  % (19069)Time elapsed: 0.124 s
% 0.20/0.53  % (19069)Instructions burned: 9 (million)
% 0.20/0.53  % (19069)------------------------------
% 0.20/0.53  % (19069)------------------------------
% 0.20/0.53  % (19053)Success in time 0.184 s
%------------------------------------------------------------------------------