%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT273-2 : 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 : n025.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 17:33:05 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   77 (  40   ~;  33   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   5 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f19,f34,f36,f39]) ).

fof(f39,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f38]) ).

fof(f38,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f37,f7]) ).

fof(f7,axiom,
    ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f37,plain,
    ( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ spl0_4 ),
    inference(resolution,[],[f30,f6]) ).

fof(f6,axiom,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f30,plain,
    ( ! [X1] :
        ( ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a)
        | c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl0_4
  <=> ! [X1] :
        ( ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a)
        | c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f36,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f33,f5]) ).

fof(f5,axiom,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f33,plain,
    ( ! [X0] : ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,X0,v_b,t_a),tc_set(t_a))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_5
  <=> ! [X0] : ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,X0,v_b,t_a),tc_set(t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f34,plain,
    ( spl0_4
    | ~ spl0_1
    | spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f27,f15,f32,f11,f29]) ).

fof(f11,plain,
    ( spl0_1
  <=> c_in(v_b,v_A,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f15,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
        | ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f27,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,X0,v_b,t_a),tc_set(t_a))
        | ~ c_in(v_b,v_A,t_a)
        | ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a)
        | c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f22,f2]) ).

fof(f2,axiom,
    ! [X1,X6,X7] :
      ( c_in(v_sko__4mi(X1,v_r,X7),X1,t_a)
      | ~ c_in(X7,v_A,t_a)
      | ~ c_Tarski_OisLub(X1,v_cl,X6,t_a)
      | c_in(c_Pair(X6,X7,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f22,plain,
    ( ! [X2,X1] :
        ( ~ c_in(v_sko__4mi(v_S,v_r,v_b),X1,t_a)
        | ~ c_lessequals(X1,c_Tarski_Ointerval(v_r,X2,v_b,t_a),tc_set(t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f20,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2))
      | ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f20,plain,
    ( ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ spl0_2 ),
    inference(resolution,[],[f16,f6]) ).

fof(f16,plain,
    ( ! [X0] :
        ( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
        | ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f19,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f18]) ).

fof(f18,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f13,f4]) ).

fof(f4,axiom,
    c_in(v_b,v_A,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f13,plain,
    ( ~ c_in(v_b,v_A,t_a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f17,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f15,f11]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
      | ~ c_in(v_b,v_A,t_a) ),
    inference(resolution,[],[f3,f7]) ).

fof(f3,axiom,
    ! [X1,X6,X7] :
      ( c_in(c_Pair(X6,X7,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X7,v_A,t_a)
      | ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X7),X7,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_Tarski_OisLub(X1,v_cl,X6,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 01:07:29 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (12290)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50  % (12315)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (12290)First to succeed.
% 0.20/0.50  % (12298)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (12303)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.51  % (12290)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (12290)------------------------------
% 0.20/0.51  % (12290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (12290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (12290)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (12290)Memory used [KB]: 5756
% 0.20/0.51  % (12290)Time elapsed: 0.094 s
% 0.20/0.51  % (12290)Instructions burned: 2 (million)
% 0.20/0.51  % (12290)------------------------------
% 0.20/0.51  % (12290)------------------------------
% 0.20/0.51  % (12277)Success in time 0.155 s
%------------------------------------------------------------------------------