TSTP Solution File: SWC206-1 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC206-1 : 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 : n011.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 18:42:23 EDT 2022

% Result   : Unsatisfiable 0.17s 0.52s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   37 (  21 unt;   3 typ;   0 def)
%            Number of atoms       :   54 (  11 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_21,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_22,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_23,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f839,plain,
    $false,
    inference(subsumption_resolution,[],[f835,f823]) ).

fof(f823,plain,
    ~ neq(nil,nil),
    inference(backward_demodulation,[],[f294,f817]) ).

fof(f817,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f816,f383]) ).

fof(f383,plain,
    ssList(sk3),
    inference(literal_reordering,[],[f188]) ).

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

fof(f816,plain,
    ( ~ ssList(sk3)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f811,f275]) ).

fof(f275,plain,
    ssList(nil),
    inference(literal_reordering,[],[f8]) ).

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

fof(f811,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | ~ ssList(sk3) ),
    inference(resolution,[],[f353,f294]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(literal_reordering,[],[f100]) ).

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

fof(f294,plain,
    ~ neq(sk3,nil),
    inference(literal_reordering,[],[f199]) ).

fof(f199,plain,
    ~ neq(sk3,nil),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f835,plain,
    neq(nil,nil),
    inference(backward_demodulation,[],[f584,f827]) ).

fof(f827,plain,
    nil = sk5,
    inference(subsumption_resolution,[],[f826,f581]) ).

fof(f581,plain,
    ssList(sk5),
    inference(subsumption_resolution,[],[f348,f283]) ).

fof(f283,plain,
    neq(sk4,nil),
    inference(literal_reordering,[],[f202]) ).

fof(f202,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

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

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

fof(f348,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    inference(literal_reordering,[],[f195]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f826,plain,
    ( nil = sk5
    | ~ ssList(sk5) ),
    inference(resolution,[],[f822,f400]) ).

fof(f400,plain,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(literal_reordering,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( nil = X0
      | ~ segmentP(nil,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f822,plain,
    segmentP(nil,sk5),
    inference(backward_demodulation,[],[f585,f817]) ).

fof(f585,plain,
    segmentP(sk3,sk5),
    inference(subsumption_resolution,[],[f401,f283]) ).

fof(f401,plain,
    ( ~ neq(sk4,nil)
    | segmentP(sk3,sk5) ),
    inference(literal_reordering,[],[f198]) ).

fof(f198,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk3,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f584,plain,
    neq(sk5,nil),
    inference(subsumption_resolution,[],[f274,f283]) ).

fof(f274,plain,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    inference(literal_reordering,[],[f196]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC206-1 : 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
% 0.12/0.32  % Computer : n011.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 18:31:55 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.17/0.48  % (27042)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)
% 0.17/0.48  % (27059)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)
% 0.17/0.48  % (27050)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)
% 0.17/0.49  % (27051)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)
% 0.17/0.50  % (27043)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.51  % (27058)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)
% 0.17/0.51  % (27043)Instruction limit reached!
% 0.17/0.51  % (27043)------------------------------
% 0.17/0.51  % (27043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (27043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (27043)Termination reason: Unknown
% 0.17/0.51  % (27043)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (27043)Memory used [KB]: 5628
% 0.17/0.51  % (27043)Time elapsed: 0.077 s
% 0.17/0.51  % (27043)Instructions burned: 7 (million)
% 0.17/0.51  % (27043)------------------------------
% 0.17/0.51  % (27043)------------------------------
% 0.17/0.51  % (27046)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.51  % (27048)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.51  % (27050)First to succeed.
% 0.17/0.51  % (27047)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)
% 0.17/0.51  % (27049)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.52  % (27050)Refutation found. Thanks to Tanya!
% 0.17/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52  % (27050)------------------------------
% 0.17/0.52  % (27050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (27050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (27050)Termination reason: Refutation
% 0.17/0.52  
% 0.17/0.52  % (27050)Memory used [KB]: 6396
% 0.17/0.52  % (27050)Time elapsed: 0.018 s
% 0.17/0.52  % (27050)Instructions burned: 21 (million)
% 0.17/0.52  % (27050)------------------------------
% 0.17/0.52  % (27050)------------------------------
% 0.17/0.52  % (27035)Success in time 0.186 s
%------------------------------------------------------------------------------