TSTP Solution File: COL123-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL123-1 : 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 : n012.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 : Mon May 20 19:05:51 EDT 2024

% Result   : Unsatisfiable 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   56 (  33   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1445,plain,
    $false,
    inference(subsumption_resolution,[],[f1444,f1369]) ).

fof(f1369,axiom,
    c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1444,plain,
    ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(subsumption_resolution,[],[f1443,f1368]) ).

fof(f1368,axiom,
    c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1443,plain,
    ( ~ c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1442,f1371]) ).

fof(f1371,axiom,
    ! [X41] :
      ( c_in(c_Pair(v_y,v_xaa(X41),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_x,X41,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1442,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(duplicate_literal_removal,[],[f1441]) ).

fof(f1441,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1419,f1374]) ).

fof(f1374,axiom,
    ! [X41,X58,X59] :
      ( c_in(c_Pair(X59,v_xa(X41,X58,X59),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X41,X59,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X41,X58,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f1419,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Pair(v_z,v_xa(X0,v_xaa(v_xb),X1),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1395,f1373]) ).

fof(f1373,axiom,
    ! [X58,X41,X59] :
      ( c_in(c_Pair(X58,v_xa(X41,X58,X59),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X41,X59,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X41,X58,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f1395,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1391,f317]) ).

fof(f317,axiom,
    ! [X2,X14,X43] :
      ( c_in(X43,c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2))
      | ~ c_in(X43,X14,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).

fof(f1391,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(subsumption_resolution,[],[f1389,f1369]) ).

fof(f1389,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1375,f1370]) ).

fof(f1370,axiom,
    ! [X41] :
      ( c_in(c_Pair(X41,v_xaa(X41),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_x,X41,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1375,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Pair(v_xb,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X1,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1372,f1366]) ).

fof(f1366,axiom,
    ! [X2,X6,X14,X4,X34] :
      ( c_in(c_Pair(X4,X34,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2))
      | ~ c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2))
      | ~ c_in(c_Pair(X6,X34,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).

fof(f1372,axiom,
    ! [X41] :
      ( ~ c_in(c_Pair(v_xb,X41,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_z,X41,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : COL123-1 : TPTP v8.2.0. Released v3.2.0.
% 0.12/0.15  % 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
% 0.14/0.35  % Computer : n012.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   : Sat May 18 12:59:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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
% 0.57/0.76  % (6508)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)
% 0.57/0.76  % (6503)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.76  % (6501)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)
% 0.57/0.76  % (6504)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)
% 0.57/0.76  % (6502)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)
% 0.57/0.76  % (6505)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)
% 0.57/0.76  % (6506)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)
% 0.57/0.76  % (6507)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)
% 0.57/0.76  % (6506)First to succeed.
% 0.57/0.76  % (6506)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6317"
% 0.57/0.76  % (6508)Also succeeded, but the first one will report.
% 0.61/0.76  % (6506)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Unsatisfiable for theBenchmark
% 0.61/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.77  % (6506)------------------------------
% 0.61/0.77  % (6506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (6506)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (6506)Memory used [KB]: 1790
% 0.61/0.77  % (6506)Time elapsed: 0.008 s
% 0.61/0.77  % (6506)Instructions burned: 11 (million)
% 0.61/0.77  % (6317)Success in time 0.392 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------