%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n015.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 18:18:18 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  10   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f84,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f47]) ).

fof(f47,plain,
    ~ sP0(bDa,a),
    inference(unit_resulting_resolution,[],[f19,f23]) ).

fof(f23,plain,
    ! [X3,X7,X4] :
      ( ~ difference(X7,X3,X4)
      | ~ sP0(X4,X3) ),
    inference(general_splitting,[],[f14,f22_D]) ).

fof(f22,plain,
    ! [X3,X0,X4] :
      ( ~ member(X0,X4)
      | sP0(X4,X3)
      | ~ member(X0,X3) ),
    inference(cnf_transformation,[],[f22_D]) ).

fof(f22_D,plain,
    ! [X3,X4] :
      ( ! [X0] :
          ( ~ member(X0,X4)
          | ~ member(X0,X3) )
    <=> ~ sP0(X4,X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f14,axiom,
    ! [X3,X0,X7,X4] :
      ( ~ difference(X7,X3,X4)
      | ~ member(X0,X3)
      | ~ member(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_member_of_difference) ).

fof(f19,axiom,
    difference(b,a,bDa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_minus_a) ).

fof(f78,plain,
    sP0(bDa,a),
    inference(unit_resulting_resolution,[],[f42,f43,f22]) ).

fof(f43,plain,
    member(h(a,bDa,aI_bDa),a),
    inference(unit_resulting_resolution,[],[f21,f20,f10]) ).

fof(f10,axiom,
    ! [X3,X4,X5] :
      ( member(h(X3,X4,X5),X5)
      | member(h(X3,X4,X5),X3)
      | intersection(X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_axiom1) ).

fof(f20,axiom,
    ~ intersection(a,bDa,aI_bDa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bDa) ).

fof(f21,axiom,
    ! [X8] : ~ member(X8,aI_bDa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).

fof(f42,plain,
    member(h(a,bDa,aI_bDa),bDa),
    inference(unit_resulting_resolution,[],[f21,f20,f11]) ).

fof(f11,axiom,
    ! [X3,X4,X5] :
      ( member(h(X3,X4,X5),X5)
      | member(h(X3,X4,X5),X4)
      | intersection(X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_axiom2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.14/0.34  % Computer : n015.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 13:02:21 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (28315)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51  % (28317)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.51  % (28335)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)
% 0.20/0.51  % (28315)First to succeed.
% 0.20/0.51  % (28327)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)
% 0.20/0.51  % (28324)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.51  % (28313)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (28314)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.51  % (28329)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (28337)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.52  % (28335)Also succeeded, but the first one will report.
% 0.20/0.52  % (28315)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (28315)------------------------------
% 0.20/0.52  % (28315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (28315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (28315)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (28315)Memory used [KB]: 5884
% 0.20/0.52  % (28315)Time elapsed: 0.110 s
% 0.20/0.52  % (28315)Instructions burned: 3 (million)
% 0.20/0.52  % (28315)------------------------------
% 0.20/0.52  % (28315)------------------------------
% 0.20/0.52  % (28312)Success in time 0.17 s
%------------------------------------------------------------------------------