TSTP Solution File: SWC207-1 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC207-1 : 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 : n006.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 18:42:24 EDT 2022

% Result   : Unsatisfiable 1.80s 0.59s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   35 (  18 unt;   3 typ;   0 def)
%            Number of atoms       :   56 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  23   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   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    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   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(f879,plain,
    $false,
    inference(subsumption_resolution,[],[f875,f837]) ).

fof(f837,plain,
    ~ neq(nil,nil),
    inference(backward_demodulation,[],[f381,f835]) ).

fof(f835,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f834,f287]) ).

fof(f287,plain,
    ssList(sk3),
    inference(literal_reordering,[],[f203]) ).

fof(f203,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f834,plain,
    ( nil = sk3
    | ~ ssList(sk3) ),
    inference(subsumption_resolution,[],[f822,f377]) ).

fof(f377,plain,
    ssList(nil),
    inference(literal_reordering,[],[f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f822,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | ~ ssList(sk3) ),
    inference(resolution,[],[f291,f381]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(literal_reordering,[],[f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | X0 = X1
      | neq(X1,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f381,plain,
    ~ neq(sk3,nil),
    inference(literal_reordering,[],[f205]) ).

fof(f205,plain,
    ~ neq(sk3,nil),
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f193,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f875,plain,
    neq(nil,nil),
    inference(backward_demodulation,[],[f379,f868]) ).

fof(f868,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f867,f371]) ).

fof(f371,plain,
    ( ssItem(sk5)
    | nil = sk4 ),
    inference(literal_reordering,[],[f194]) ).

fof(f194,axiom,
    ( nil = sk4
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f867,plain,
    ( nil = sk4
    | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f865,f377]) ).

fof(f865,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(trivial_inequality_removal,[],[f859]) ).

fof(f859,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | nil = sk4
    | nil != nil ),
    inference(superposition,[],[f374,f838]) ).

fof(f838,plain,
    ( nil = cons(sk5,nil)
    | nil = sk4 ),
    inference(backward_demodulation,[],[f420,f835]) ).

fof(f420,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(literal_reordering,[],[f196]) ).

fof(f196,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f374,plain,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(literal_reordering,[],[f98]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f379,plain,
    neq(sk4,nil),
    inference(literal_reordering,[],[f204]) ).

fof(f204,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC207-1 : 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
% 0.13/0.34  % Computer : n006.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 18:33:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.54  % (12359)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)
% 0.18/0.55  % (12360)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.55  % (12375)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)
% 0.18/0.55  % (12367)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)
% 0.18/0.55  % (12368)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)
% 0.18/0.56  % (12377)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.56  % (12360)Instruction limit reached!
% 0.18/0.56  % (12360)------------------------------
% 0.18/0.56  % (12360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (12361)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.56  % (12361)Instruction limit reached!
% 0.18/0.56  % (12361)------------------------------
% 0.18/0.56  % (12361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (12361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (12361)Termination reason: Unknown
% 0.18/0.56  % (12361)Termination phase: Function definition elimination
% 0.18/0.56  
% 0.18/0.56  % (12361)Memory used [KB]: 1023
% 0.18/0.56  % (12361)Time elapsed: 0.002 s
% 0.18/0.56  % (12361)Instructions burned: 2 (million)
% 0.18/0.56  % (12361)------------------------------
% 0.18/0.56  % (12361)------------------------------
% 0.18/0.56  % (12376)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)
% 0.18/0.57  % (12369)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)
% 0.18/0.57  % (12362)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)
% 0.18/0.57  % (12355)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)
% 0.18/0.58  % (12360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (12360)Termination reason: Unknown
% 0.18/0.58  % (12360)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (12360)Memory used [KB]: 5628
% 0.18/0.58  % (12360)Time elapsed: 0.128 s
% 0.18/0.58  % (12360)Instructions burned: 7 (million)
% 0.18/0.58  % (12360)------------------------------
% 0.18/0.58  % (12360)------------------------------
% 0.18/0.58  TRYING [1]
% 0.18/0.58  TRYING [2]
% 0.18/0.58  % (12381)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.59  % (12370)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.80/0.59  % (12367)First to succeed.
% 1.80/0.59  % (12374)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.80/0.59  % (12364)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)
% 1.80/0.59  % (12367)Refutation found. Thanks to Tanya!
% 1.80/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.80/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.59  % (12367)------------------------------
% 1.80/0.59  % (12367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59  % (12367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59  % (12367)Termination reason: Refutation
% 1.80/0.59  
% 1.80/0.59  % (12367)Memory used [KB]: 6396
% 1.80/0.59  % (12367)Time elapsed: 0.014 s
% 1.80/0.59  % (12367)Instructions burned: 22 (million)
% 1.80/0.59  % (12367)------------------------------
% 1.80/0.59  % (12367)------------------------------
% 1.80/0.59  % (12352)Success in time 0.24 s
%------------------------------------------------------------------------------