TSTP Solution File: SET830-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET830-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 : Tue May 21 03:13:29 EDT 2024

% Result   : Unsatisfiable 0.54s 0.72s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  21   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f107,plain,
    $false,
    inference(subsumption_resolution,[],[f106,f7]) ).

fof(f7,axiom,
    c_in(v_x,v_Y,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f106,plain,
    ~ c_in(v_x,v_Y,t_a),
    inference(subsumption_resolution,[],[f101,f8]) ).

fof(f8,axiom,
    c_in(v_x,v_Z,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f101,plain,
    ( ~ c_in(v_x,v_Z,t_a)
    | ~ c_in(v_x,v_Y,t_a) ),
    inference(resolution,[],[f78,f9]) ).

fof(f9,axiom,
    ~ c_in(v_x,v_X,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f78,plain,
    ! [X0] :
      ( c_in(X0,v_X,t_a)
      | ~ c_in(X0,v_Z,t_a)
      | ~ c_in(X0,v_Y,t_a) ),
    inference(resolution,[],[f56,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_inter(X1,X2,X3),X3)
      | ~ c_in(X0,X1,X3)
      | ~ c_in(X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).

fof(f56,plain,
    ! [X0] :
      ( ~ c_in(X0,c_inter(v_Z,v_Y,t_a),t_a)
      | c_in(X0,v_X,t_a) ),
    inference(resolution,[],[f46,f36]) ).

fof(f36,plain,
    ! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))
      | c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)) ),
    inference(resolution,[],[f12,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
      | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2)
      | c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_inter(X1,X2,X3),X3)
      | c_in(X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).

fof(f5,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
      | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_inter(v_Z,X1,t_a),v_Y,tc_set(t_a))
      | c_in(X0,v_X,t_a)
      | ~ c_in(X0,c_inter(v_Z,X1,t_a),t_a) ),
    inference(resolution,[],[f32,f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X1,v_Z,tc_set(t_a))
      | ~ c_in(X0,X1,t_a)
      | c_in(X0,v_X,t_a)
      | ~ c_lessequals(X1,v_Y,tc_set(t_a)) ),
    inference(resolution,[],[f4,f10]) ).

fof(f10,axiom,
    ! [X4] :
      ( c_lessequals(X4,v_X,tc_set(t_a))
      | ~ c_lessequals(X4,v_Z,tc_set(t_a))
      | ~ c_lessequals(X4,v_Y,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X2,tc_set(X3))
      | c_in(X0,X2,X3)
      | ~ c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f32,plain,
    ! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))
      | c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)) ),
    inference(resolution,[],[f11,f6]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
      | c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_inter(X1,X2,X3),X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET830-2 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon May 20 11:52:23 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.12/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.72  % (24596)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.72  % (24597)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.54/0.72  % (24598)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.72  % (24599)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.72  % (24600)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.54/0.72  % (24601)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.72  % (24594)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.72  % (24599)Refutation not found, incomplete strategy% (24599)------------------------------
% 0.54/0.72  % (24599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (24597)Refutation not found, incomplete strategy% (24597)------------------------------
% 0.54/0.72  % (24597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (24597)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24597)Memory used [KB]: 951
% 0.54/0.72  % (24597)Time elapsed: 0.002 s
% 0.54/0.72  % (24597)Instructions burned: 2 (million)
% 0.54/0.72  % (24599)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24599)Memory used [KB]: 963
% 0.54/0.72  % (24599)Time elapsed: 0.002 s
% 0.54/0.72  % (24599)Instructions burned: 2 (million)
% 0.54/0.72  % (24601)Refutation not found, incomplete strategy% (24601)------------------------------
% 0.54/0.72  % (24601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (24601)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24601)Memory used [KB]: 963
% 0.54/0.72  % (24601)Time elapsed: 0.002 s
% 0.54/0.72  % (24601)Instructions burned: 2 (million)
% 0.54/0.72  % (24597)------------------------------
% 0.54/0.72  % (24597)------------------------------
% 0.54/0.72  % (24599)------------------------------
% 0.54/0.72  % (24599)------------------------------
% 0.54/0.72  % (24600)Refutation not found, incomplete strategy% (24600)------------------------------
% 0.54/0.72  % (24600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (24601)------------------------------
% 0.54/0.72  % (24601)------------------------------
% 0.54/0.72  % (24600)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24600)Memory used [KB]: 968
% 0.54/0.72  % (24600)Time elapsed: 0.003 s
% 0.54/0.72  % (24600)Instructions burned: 2 (million)
% 0.54/0.72  % (24600)------------------------------
% 0.54/0.72  % (24600)------------------------------
% 0.54/0.72  % (24594)First to succeed.
% 0.54/0.72  % (24594)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24593"
% 0.54/0.72  % (24602)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.54/0.72  % (24595)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.54/0.72  % (24604)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.54/0.72  % (24603)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.54/0.72  % (24594)Refutation found. Thanks to Tanya!
% 0.54/0.72  % SZS status Unsatisfiable for theBenchmark
% 0.54/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.72  % (24594)------------------------------
% 0.54/0.72  % (24594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (24594)Termination reason: Refutation
% 0.54/0.72  
% 0.54/0.72  % (24594)Memory used [KB]: 1055
% 0.54/0.72  % (24594)Time elapsed: 0.005 s
% 0.54/0.72  % (24594)Instructions burned: 6 (million)
% 0.54/0.72  % (24593)Success in time 0.369 s
% 0.54/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------