TSTP Solution File: SWC100-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC100-1 : 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 18:41:44 EDT 2022

% Result   : Unsatisfiable 1.35s 0.54s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   48 (  22 unt;   0 def)
%            Number of atoms       :   95 (  37 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   93 (  46   ~;  47   |;   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    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f597,plain,
    $false,
    inference(subsumption_resolution,[],[f596,f586]) ).

fof(f586,plain,
    ~ frontsegP(nil,nil),
    inference(subsumption_resolution,[],[f585,f584]) ).

fof(f584,plain,
    neq(nil,nil),
    inference(backward_demodulation,[],[f572,f575]) ).

fof(f575,plain,
    nil = sk2,
    inference(backward_demodulation,[],[f190,f571]) ).

fof(f571,plain,
    nil = sk4,
    inference(trivial_inequality_removal,[],[f523]) ).

fof(f523,plain,
    ( nil = sk4
    | nil != nil ),
    inference(backward_demodulation,[],[f234,f517]) ).

fof(f517,plain,
    nil = sk1,
    inference(subsumption_resolution,[],[f516,f233]) ).

fof(f233,plain,
    ssList(sk1),
    inference(backward_demodulation,[],[f188,f191]) ).

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

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

fof(f516,plain,
    ( ~ ssList(sk1)
    | nil = sk1 ),
    inference(duplicate_literal_removal,[],[f515]) ).

fof(f515,plain,
    ( nil = sk1
    | nil = sk1
    | ~ ssList(sk1) ),
    inference(resolution,[],[f512,f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f512,plain,
    ( frontsegP(nil,sk1)
    | nil = sk1 ),
    inference(superposition,[],[f374,f498]) ).

fof(f498,plain,
    ( nil = sk2
    | nil = sk1 ),
    inference(subsumption_resolution,[],[f497,f233]) ).

fof(f497,plain,
    ( nil = sk2
    | nil = sk1
    | ~ ssList(sk1) ),
    inference(subsumption_resolution,[],[f496,f374]) ).

fof(f496,plain,
    ( ~ frontsegP(sk2,sk1)
    | ~ ssList(sk1)
    | nil = sk2
    | nil = sk1 ),
    inference(subsumption_resolution,[],[f491,f8]) ).

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

fof(f491,plain,
    ( ~ ssList(nil)
    | nil = sk1
    | ~ frontsegP(sk2,sk1)
    | nil = sk2
    | ~ ssList(sk1) ),
    inference(resolution,[],[f100,f198]) ).

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

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

fof(f374,plain,
    frontsegP(sk2,sk1),
    inference(subsumption_resolution,[],[f373,f233]) ).

fof(f373,plain,
    ( ~ ssList(sk1)
    | frontsegP(sk2,sk1) ),
    inference(subsumption_resolution,[],[f369,f192]) ).

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

fof(f369,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk1)
    | frontsegP(sk2,sk1) ),
    inference(superposition,[],[f236,f242]) ).

fof(f242,plain,
    sk2 = app(sk1,sk5),
    inference(backward_demodulation,[],[f235,f241]) ).

fof(f241,plain,
    sk2 = sF0,
    inference(forward_demodulation,[],[f226,f190]) ).

fof(f226,plain,
    sk4 = sF0,
    inference(definition_folding,[],[f193,f225]) ).

fof(f225,plain,
    app(sk3,sk5) = sF0,
    introduced(function_definition,[]) ).

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

fof(f235,plain,
    app(sk1,sk5) = sF0,
    inference(backward_demodulation,[],[f225,f191]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f205,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f205,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(X0)
      | ~ ssList(X2)
      | frontsegP(X2,X0)
      | ~ ssList(X1)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f234,plain,
    ( nil != sk1
    | nil = sk4 ),
    inference(backward_demodulation,[],[f196,f191]) ).

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

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

fof(f572,plain,
    neq(sk2,nil),
    inference(trivial_inequality_removal,[],[f520]) ).

fof(f520,plain,
    ( nil != nil
    | neq(sk2,nil) ),
    inference(backward_demodulation,[],[f199,f517]) ).

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

fof(f585,plain,
    ( ~ frontsegP(nil,nil)
    | ~ neq(nil,nil) ),
    inference(backward_demodulation,[],[f574,f575]) ).

fof(f574,plain,
    ( ~ neq(nil,nil)
    | ~ frontsegP(sk2,nil) ),
    inference(forward_demodulation,[],[f573,f517]) ).

fof(f573,plain,
    ( ~ frontsegP(sk2,sk1)
    | ~ neq(nil,nil) ),
    inference(subsumption_resolution,[],[f521,f517]) ).

fof(f521,plain,
    ( nil != sk1
    | ~ frontsegP(sk2,sk1)
    | ~ neq(nil,nil) ),
    inference(backward_demodulation,[],[f200,f517]) ).

fof(f200,axiom,
    ( ~ neq(sk1,nil)
    | nil != sk1
    | ~ frontsegP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f596,plain,
    frontsegP(nil,nil),
    inference(forward_demodulation,[],[f530,f575]) ).

fof(f530,plain,
    frontsegP(sk2,nil),
    inference(backward_demodulation,[],[f374,f517]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC100-1 : 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 : n005.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 18:17:48 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.49  % (16903)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)
% 0.19/0.49  % (16895)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)
% 0.19/0.52  % (16888)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.35/0.53  % (16879)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)
% 1.35/0.53  % (16881)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)
% 1.35/0.53  % (16902)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)
% 1.35/0.53  % (16878)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)
% 1.35/0.53  % (16898)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)
% 1.35/0.54  % (16903)First to succeed.
% 1.35/0.54  % (16880)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.54  % (16894)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.54  % (16890)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)
% 1.35/0.54  % (16877)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)
% 1.35/0.54  % (16895)Also succeeded, but the first one will report.
% 1.35/0.54  % (16903)Refutation found. Thanks to Tanya!
% 1.35/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.35/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.54  % (16903)------------------------------
% 1.35/0.54  % (16903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (16903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (16903)Termination reason: Refutation
% 1.35/0.54  
% 1.35/0.54  % (16903)Memory used [KB]: 1535
% 1.35/0.54  % (16903)Time elapsed: 0.109 s
% 1.35/0.54  % (16903)Instructions burned: 26 (million)
% 1.35/0.54  % (16903)------------------------------
% 1.35/0.54  % (16903)------------------------------
% 1.35/0.54  % (16875)Success in time 0.185 s
%------------------------------------------------------------------------------