TSTP Solution File: COL118-1 by SnakeForV---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL118-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.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 15:52:13 EDT 2022

% Result   : Unsatisfiable 1.21s 0.57s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   48 (  24   ~;  20   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-4 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1492,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1415,f1420,f1440,f1487,f1491]) ).

fof(f1491,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1490]) ).

fof(f1490,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1489,f1419]) ).

fof(f1419,plain,
    ( c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1417]) ).

fof(f1417,plain,
    ( spl0_2
  <=> c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1489,plain,
    ( ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ spl0_1
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1488,f1414]) ).

fof(f1414,plain,
    ( c_in(c_Pair(v_x,v_ya,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1412]) ).

fof(f1412,plain,
    ( spl0_1
  <=> c_in(c_Pair(v_x,v_ya,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1488,plain,
    ( ~ c_in(c_Pair(v_x,v_ya,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | spl0_16 ),
    inference(resolution,[],[f1486,f21]) ).

fof(f21,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X3,X5),c_Comb_Ocomb_Oop_A_D_D(X4,X6),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(X5,X6,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(X3,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).

fof(f1486,plain,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | spl0_16 ),
    inference(avatar_component_clause,[],[f1484]) ).

fof(f1484,plain,
    ( spl0_16
  <=> c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1487,plain,
    ( ~ spl0_16
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1444,f1438,f1484]) ).

fof(f1438,plain,
    ( spl0_7
  <=> ! [X47] :
        ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
        | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1444,plain,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ spl0_7 ),
    inference(resolution,[],[f1439,f18]) ).

fof(f18,axiom,
    ! [X3] : c_in(c_Pair(X3,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).

fof(f1439,plain,
    ( ! [X47] :
        ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
        | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1440,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f1406,f1438]) ).

fof(f1406,axiom,
    ! [X47] :
      ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1420,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f1405,f1417]) ).

fof(f1405,axiom,
    c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1415,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f1404,f1412]) ).

fof(f1404,axiom,
    c_in(c_Pair(v_x,v_ya,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COL118-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.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   : Mon Aug 29 16:59:34 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.21/0.55  % (27452)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.21/0.55  % (27460)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.21/0.55  % (27457)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.21/0.55  % (27449)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.21/0.56  % (27441)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.21/0.56  % (27443)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.21/0.56  % (27443)Instruction limit reached!
% 1.21/0.56  % (27443)------------------------------
% 1.21/0.56  % (27443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.56  % (27443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.56  % (27443)Termination reason: Unknown
% 1.21/0.56  % (27443)Termination phase: Unused predicate definition removal
% 1.21/0.56  
% 1.21/0.56  % (27443)Memory used [KB]: 2302
% 1.21/0.56  % (27443)Time elapsed: 0.003 s
% 1.21/0.56  % (27443)Instructions burned: 3 (million)
% 1.21/0.56  % (27443)------------------------------
% 1.21/0.56  % (27443)------------------------------
% 1.21/0.56  % (27447)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.21/0.56  % (27452)Instruction limit reached!
% 1.21/0.56  % (27452)------------------------------
% 1.21/0.56  % (27452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.56  % (27462)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.21/0.56  % (27447)Instruction limit reached!
% 1.21/0.56  % (27447)------------------------------
% 1.21/0.56  % (27447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.56  % (27447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.56  % (27447)Termination reason: Unknown
% 1.21/0.57  % (27447)Termination phase: Saturation
% 1.21/0.57  
% 1.21/0.57  % (27447)Memory used [KB]: 7036
% 1.21/0.57  % (27447)Time elapsed: 0.008 s
% 1.21/0.57  % (27447)Instructions burned: 5 (million)
% 1.21/0.57  % (27447)------------------------------
% 1.21/0.57  % (27447)------------------------------
% 1.21/0.57  % (27460)First to succeed.
% 1.21/0.57  % (27452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.57  % (27452)Termination reason: Unknown
% 1.21/0.57  % (27452)Termination phase: Saturation
% 1.21/0.57  
% 1.21/0.57  % (27452)Memory used [KB]: 7036
% 1.21/0.57  % (27452)Time elapsed: 0.010 s
% 1.21/0.57  % (27452)Instructions burned: 8 (million)
% 1.21/0.57  % (27452)------------------------------
% 1.21/0.57  % (27452)------------------------------
% 1.21/0.57  % (27454)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.21/0.57  % (27460)Refutation found. Thanks to Tanya!
% 1.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.57  % (27460)------------------------------
% 1.21/0.57  % (27460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.57  % (27460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.57  % (27460)Termination reason: Refutation
% 1.21/0.57  
% 1.21/0.57  % (27460)Memory used [KB]: 7036
% 1.21/0.57  % (27460)Time elapsed: 0.101 s
% 1.21/0.57  % (27460)Instructions burned: 11 (million)
% 1.21/0.57  % (27460)------------------------------
% 1.21/0.57  % (27460)------------------------------
% 1.21/0.57  % (27431)Success in time 0.212 s
%------------------------------------------------------------------------------