TSTP Solution File: SET840-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET840-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 03:13:34 EDT 2024

% Result   : Unsatisfiable 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   4 unt;   0 def)
%            Number of atoms       :   39 (   5 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   39 (  18   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(resolution,[],[f55,f1]) ).

fof(f1,axiom,
    ! [X0] : ~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f55,plain,
    ! [X0] : c_lessequals(v_S,c_insert(c_Union(v_S,t_b),X0,tc_set(t_b)),tc_set(tc_set(t_b))),
    inference(resolution,[],[f44,f5]) ).

fof(f5,axiom,
    ! [X3,X8,X6] : c_in(X8,c_insert(X8,X6,X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f44,plain,
    ! [X0] :
      ( ~ c_in(c_Union(v_S,t_b),X0,tc_set(t_b))
      | c_lessequals(v_S,X0,tc_set(tc_set(t_b))) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ c_in(c_Union(v_S,t_b),X0,tc_set(t_b))
      | c_lessequals(v_S,X0,tc_set(tc_set(t_b)))
      | c_lessequals(v_S,X0,tc_set(tc_set(t_b))) ),
    inference(superposition,[],[f8,f36]) ).

fof(f36,plain,
    ! [X0] :
      ( c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,X0,tc_set(t_b))
      | c_lessequals(v_S,X0,tc_set(tc_set(t_b))) ),
    inference(resolution,[],[f35,f7]) ).

fof(f7,axiom,
    ! [X3,X1,X6] :
      ( c_in(c_Main_OsubsetI__1(X1,X6,X3),X1,X3)
      | c_lessequals(X1,X6,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f35,plain,
    ! [X0] :
      ( ~ c_in(X0,v_S,tc_set(t_b))
      | c_Union(v_S,t_b) = X0 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ c_in(X0,v_S,tc_set(t_b))
      | c_Union(v_S,t_b) = X0
      | ~ c_in(X0,v_S,tc_set(t_b)) ),
    inference(resolution,[],[f31,f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_Union(v_S,t_b),tc_set(t_b))
      | c_Union(v_S,t_b) = X0
      | ~ c_in(X0,v_S,tc_set(t_b)) ),
    inference(resolution,[],[f9,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( c_lessequals(c_Union(v_S,t_b),X0,tc_set(t_b))
      | ~ c_in(X0,v_S,tc_set(t_b)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f9,axiom,
    ! [X3,X1,X6] :
      ( ~ c_lessequals(X6,X1,tc_set(X3))
      | ~ c_lessequals(X1,X6,tc_set(X3))
      | X1 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,c_Union(X1,X2),tc_set(X2))
      | ~ c_in(X0,X1,tc_set(X2)) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,X1,tc_set(X2))
      | c_lessequals(X0,c_Union(X1,X2),tc_set(X2))
      | c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
    inference(resolution,[],[f21,f7]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X3,c_Union(X1,X2),X2),X0,X2)
      | ~ c_in(X0,X1,tc_set(X2))
      | c_lessequals(X3,c_Union(X1,X2),tc_set(X2)) ),
    inference(resolution,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X2,X3,X1,X4] :
      ( c_in(X1,c_Union(X4,X3),X3)
      | ~ c_in(X2,X4,tc_set(X3))
      | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).

fof(f8,axiom,
    ! [X3,X1,X6] :
      ( ~ c_in(c_Main_OsubsetI__1(X1,X6,X3),X6,X3)
      | c_lessequals(X1,X6,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SET840-2 : TPTP v8.2.0. Released v3.2.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30  % Computer : n022.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon May 20 11:50:52 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.30  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.76  % (16441)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.58/0.76  % (16443)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 (2995ds/34Mi)
% 0.58/0.76  % (16442)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.58/0.76  % (16445)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 (2995ds/83Mi)
% 0.58/0.76  % (16444)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.58/0.76  % (16439)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 (2995ds/34Mi)
% 0.58/0.76  % (16440)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 (2995ds/51Mi)
% 0.58/0.76  % (16446)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 (2995ds/56Mi)
% 0.58/0.76  % (16444)Refutation not found, incomplete strategy% (16444)------------------------------
% 0.58/0.76  % (16444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (16445)Refutation not found, incomplete strategy% (16445)------------------------------
% 0.58/0.76  % (16445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (16445)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (16445)Memory used [KB]: 949
% 0.58/0.76  % (16445)Time elapsed: 0.002 s
% 0.58/0.76  % (16445)Instructions burned: 2 (million)
% 0.58/0.76  % (16444)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (16444)Memory used [KB]: 946
% 0.58/0.76  % (16443)Refutation not found, incomplete strategy% (16443)------------------------------
% 0.58/0.76  % (16443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (16444)Time elapsed: 0.002 s
% 0.58/0.76  % (16444)Instructions burned: 2 (million)
% 0.58/0.76  % (16443)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (16443)Memory used [KB]: 955
% 0.58/0.76  % (16443)Time elapsed: 0.002 s
% 0.58/0.76  % (16443)Instructions burned: 2 (million)
% 0.58/0.76  % (16446)Refutation not found, incomplete strategy% (16446)------------------------------
% 0.58/0.76  % (16446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (16446)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (16446)Memory used [KB]: 946
% 0.58/0.76  % (16446)Time elapsed: 0.002 s
% 0.58/0.76  % (16445)------------------------------
% 0.58/0.76  % (16445)------------------------------
% 0.58/0.76  % (16446)Instructions burned: 2 (million)
% 0.58/0.76  % (16444)------------------------------
% 0.58/0.76  % (16444)------------------------------
% 0.58/0.76  % (16443)------------------------------
% 0.58/0.76  % (16443)------------------------------
% 0.58/0.76  % (16446)------------------------------
% 0.58/0.76  % (16446)------------------------------
% 0.58/0.76  % (16440)First to succeed.
% 0.58/0.76  % (16440)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16438"
% 0.58/0.76  % (16448)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 (2995ds/50Mi)
% 0.58/0.76  % (16447)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 (2995ds/55Mi)
% 0.58/0.76  % (16449)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 (2995ds/208Mi)
% 0.58/0.76  % (16450)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.58/0.76  % (16449)Refutation not found, incomplete strategy% (16449)------------------------------
% 0.58/0.76  % (16449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (16449)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (16449)Memory used [KB]: 954
% 0.58/0.76  % (16449)Time elapsed: 0.002 s
% 0.58/0.76  % (16449)Instructions burned: 2 (million)
% 0.58/0.76  % (16449)------------------------------
% 0.58/0.76  % (16449)------------------------------
% 0.58/0.76  % (16440)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Unsatisfiable for theBenchmark
% 0.58/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.76  % (16440)------------------------------
% 0.58/0.76  % (16440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (16440)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (16440)Memory used [KB]: 985
% 0.58/0.76  % (16440)Time elapsed: 0.004 s
% 0.58/0.76  % (16440)Instructions burned: 4 (million)
% 0.58/0.76  % (16438)Success in time 0.455 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------