TSTP Solution File: LAT273-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT273-2 : TPTP v8.1.2. 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 : n016.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 May  1 03:07:43 EDT 2024

% Result   : Unsatisfiable 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  15   ~;  12   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f15]) ).

fof(f15,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)),
    inference(unit_resulting_resolution,[],[f6,f4,f7,f3]) ).

fof(f3,axiom,
    ! [X1,X6,X7] :
      ( ~ 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_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_Tarski_OisLub(X1,v_cl,X6,t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.84BcvnA9mS/Vampire---4.8_32657',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) ).

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/sandbox/tmp/tmp.84BcvnA9mS/Vampire---4.8_32657',cls_conjecture_6) ).

fof(f4,axiom,
    c_in(v_b,v_A,t_a),
    file('/export/starexec/sandbox/tmp/tmp.84BcvnA9mS/Vampire---4.8_32657',cls_conjecture_1) ).

fof(f6,axiom,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('/export/starexec/sandbox/tmp/tmp.84BcvnA9mS/Vampire---4.8_32657',cls_conjecture_4) ).

fof(f17,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)),
    inference(unit_resulting_resolution,[],[f12,f14,f8]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1,X5] :
      ( ~ c_in(X0,X1,X2)
      | c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2))
      | sP0(X3,X5,X2,X1) ),
    inference(cnf_transformation,[],[f8_D]) ).

fof(f8_D,plain,
    ! [X1,X2,X5,X3] :
      ( ! [X0] :
          ( ~ c_in(X0,X1,X2)
          | c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)) )
    <=> ~ sP0(X3,X5,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f14,plain,
    c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
    inference(unit_resulting_resolution,[],[f6,f4,f7,f2]) ).

fof(f2,axiom,
    ! [X1,X6,X7] :
      ( ~ 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))
      | ~ c_in(X7,v_A,t_a)
      | c_in(v_sko__4mi(X1,v_r,X7),X1,t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.84BcvnA9mS/Vampire---4.8_32657',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(f12,plain,
    ~ sP0(v_r,v_b,t_a,v_S),
    inference(unit_resulting_resolution,[],[f5,f9]) ).

fof(f9,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
      | ~ sP0(X3,X5,X2,X1) ),
    inference(general_splitting,[],[f1,f8_D]) ).

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/sandbox/tmp/tmp.84BcvnA9mS/Vampire---4.8_32657',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(f5,axiom,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.84BcvnA9mS/Vampire---4.8_32657',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 17:01:26 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.35  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/tmp/tmp.84BcvnA9mS/Vampire---4.8_32657
% 0.58/0.74  % (456)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 Vampire---4 for (2996ds/83Mi)
% 0.58/0.74  % (456)First to succeed.
% 0.58/0.75  % (450)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (453)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (451)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 Vampire---4 for (2996ds/51Mi)
% 0.58/0.75  % (452)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (454)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (455)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (456)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (456)------------------------------
% 0.58/0.75  % (456)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (456)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (456)Memory used [KB]: 979
% 0.58/0.75  % (456)Time elapsed: 0.002 s
% 0.58/0.75  % (456)Instructions burned: 3 (million)
% 0.58/0.75  % (456)------------------------------
% 0.58/0.75  % (456)------------------------------
% 0.58/0.75  % (446)Success in time 0.387 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------