%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET829-2 : 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_sat --cores 0 -t %d %s

% Computer : n018.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 18:25:47 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   15 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f4]) ).

fof(f4,axiom,
    ~ c_in(v_x,v_Z,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f9,plain,
    c_in(v_x,v_Z,t_a),
    inference(resolution,[],[f8,f3]) ).

fof(f3,axiom,
    c_in(v_x,v_X,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f8,plain,
    ! [X0] :
      ( ~ c_in(X0,v_X,t_a)
      | c_in(X0,v_Z,t_a) ),
    inference(resolution,[],[f7,f6]) ).

fof(f6,plain,
    c_lessequals(v_X,v_Z,sF0),
    inference(definition_folding,[],[f2,f5]) ).

fof(f5,plain,
    tc_set(t_a) = sF0,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    c_lessequals(v_X,v_Z,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f7,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,sF0)
      | ~ c_in(X2,X0,t_a)
      | c_in(X2,X1,t_a) ),
    inference(superposition,[],[f1,f5]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X3,tc_set(X2))
      | ~ c_in(X0,X1,X2)
      | c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET829-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:26:10 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.52  % (3618)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.52  % (3607)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.21/0.52  % (3635)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.52  % (3635)First to succeed.
% 0.21/0.52  % (3635)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (3635)------------------------------
% 0.21/0.52  % (3635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (3635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (3635)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (3635)Memory used [KB]: 5373
% 0.21/0.52  % (3635)Time elapsed: 0.121 s
% 0.21/0.52  % (3635)------------------------------
% 0.21/0.52  % (3635)------------------------------
% 0.21/0.52  % (3603)Success in time 0.166 s
%------------------------------------------------------------------------------