TSTP Solution File: COM002_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM002_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n028.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 : Sun May  5 04:46:04 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   41
% Syntax   : Number of formulae    :   67 (  22 unt;  32 typ;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  19   ~;  14   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   19 (  10   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  16 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    state: $tType ).

tff(type_def_6,type,
    label: $tType ).

tff(type_def_7,type,
    statement: $tType ).

tff(type_def_8,type,
    register: $tType ).

tff(type_def_9,type,
    number: $tType ).

tff(type_def_10,type,
    boolean: $tType ).

tff(func_def_0,type,
    p1: state ).

tff(func_def_1,type,
    p2: state ).

tff(func_def_2,type,
    p3: state ).

tff(func_def_3,type,
    p4: state ).

tff(func_def_4,type,
    p5: state ).

tff(func_def_5,type,
    p6: state ).

tff(func_def_6,type,
    p7: state ).

tff(func_def_7,type,
    p8: state ).

tff(func_def_8,type,
    n: number ).

tff(func_def_9,type,
    n0: number ).

tff(func_def_10,type,
    n1: number ).

tff(func_def_11,type,
    n2: number ).

tff(func_def_12,type,
    register_j: register ).

tff(func_def_13,type,
    register_k: register ).

tff(func_def_14,type,
    out: label ).

tff(func_def_15,type,
    loop: label ).

tff(func_def_16,type,
    equal_function: ( register * number ) > boolean ).

tff(func_def_17,type,
    assign: ( register * number ) > statement ).

tff(func_def_18,type,
    goto: label > statement ).

tff(func_def_19,type,
    ifthen: ( boolean * state ) > statement ).

tff(func_def_20,type,
    plus: ( register * number ) > number ).

tff(func_def_21,type,
    times: ( number * register ) > number ).

tff(pred_def_1,type,
    follows: ( state * state ) > $o ).

tff(pred_def_2,type,
    succeeds: ( state * state ) > $o ).

tff(pred_def_3,type,
    labels: ( label * state ) > $o ).

tff(pred_def_4,type,
    has: ( state * statement ) > $o ).

tff(f93,plain,
    $false,
    inference(subsumption_resolution,[],[f88,f75]) ).

tff(f75,plain,
    succeeds(p3,p7),
    inference(unit_resulting_resolution,[],[f55,f67,f48]) ).

tff(f48,plain,
    ! [X2: state,X0: state,X1: state] :
      ( succeeds(X2,X0)
      | ~ succeeds(X1,X0)
      | ~ succeeds(X2,X1) ),
    inference(cnf_transformation,[],[f29]) ).

tff(f29,plain,
    ! [X0: state,X1: state,X2: state] :
      ( succeeds(X2,X0)
      | ~ succeeds(X1,X0)
      | ~ succeeds(X2,X1) ),
    inference(flattening,[],[f28]) ).

tff(f28,plain,
    ! [X0: state,X1: state,X2: state] :
      ( succeeds(X2,X0)
      | ~ succeeds(X1,X0)
      | ~ succeeds(X2,X1) ),
    inference(ennf_transformation,[],[f24]) ).

tff(f24,plain,
    ! [X0: state,X1: state,X2: state] :
      ( ( succeeds(X1,X0)
        & succeeds(X2,X1) )
     => succeeds(X2,X0) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X0: state,X2: state,X1: state] :
      ( ( succeeds(X2,X0)
        & succeeds(X1,X2) )
     => succeeds(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',transitivity_of_success) ).

tff(f67,plain,
    succeeds(p3,p8),
    inference(unit_resulting_resolution,[],[f34,f44,f46]) ).

tff(f46,plain,
    ! [X2: state,X0: state,X1: label] :
      ( ~ labels(X1,X0)
      | succeeds(X0,X2)
      | ~ has(X2,goto(X1)) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f26,plain,
    ! [X0: state,X1: label,X2: state] :
      ( succeeds(X0,X2)
      | ~ labels(X1,X0)
      | ~ has(X2,goto(X1)) ),
    inference(flattening,[],[f25]) ).

tff(f25,plain,
    ! [X0: state,X1: label,X2: state] :
      ( succeeds(X0,X2)
      | ~ labels(X1,X0)
      | ~ has(X2,goto(X1)) ),
    inference(ennf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X0: state,X1: label,X2: state] :
      ( ( labels(X1,X0)
        & has(X2,goto(X1)) )
     => succeeds(X0,X2) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: state,X3: label,X0: state] :
      ( ( labels(X3,X1)
        & has(X0,goto(X3)) )
     => succeeds(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',goto_success) ).

tff(f44,plain,
    has(p8,goto(loop)),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,axiom,
    has(p8,goto(loop)),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',state_8) ).

tff(f34,plain,
    labels(loop,p3),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,axiom,
    labels(loop,p3),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',label_state_3) ).

tff(f55,plain,
    succeeds(p8,p7),
    inference(unit_resulting_resolution,[],[f43,f49]) ).

tff(f49,plain,
    ! [X0: state,X1: state] :
      ( succeeds(X1,X0)
      | ~ follows(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,plain,
    ! [X0: state,X1: state] :
      ( succeeds(X1,X0)
      | ~ follows(X1,X0) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: state,X1: state] :
      ( follows(X1,X0)
     => succeeds(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',direct_success) ).

tff(f43,plain,
    follows(p8,p7),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,axiom,
    follows(p8,p7),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',transition_7_to_8) ).

tff(f88,plain,
    ~ succeeds(p3,p7),
    inference(unit_resulting_resolution,[],[f54,f65,f48]) ).

tff(f65,plain,
    ~ succeeds(p3,p6),
    inference(unit_resulting_resolution,[],[f45,f53,f48]) ).

tff(f53,plain,
    succeeds(p6,p3),
    inference(unit_resulting_resolution,[],[f39,f49]) ).

tff(f39,plain,
    follows(p6,p3),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,axiom,
    follows(p6,p3),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',transition_3_to_6) ).

tff(f45,plain,
    ~ succeeds(p3,p3),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ~ succeeds(p3,p3),
    inference(flattening,[],[f20]) ).

tff(f20,negated_conjecture,
    ~ succeeds(p3,p3),
    inference(negated_conjecture,[],[f19]) ).

tff(f19,conjecture,
    succeeds(p3,p3),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',prove_there_is_a_loop_through_p3) ).

tff(f54,plain,
    succeeds(p7,p6),
    inference(unit_resulting_resolution,[],[f41,f49]) ).

tff(f41,plain,
    follows(p7,p6),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,axiom,
    follows(p7,p6),
    file('/export/starexec/sandbox2/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893',transition_6_to_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : COM002_1 : TPTP v8.1.2. Released v5.0.0.
% 0.04/0.14  % 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
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 21:25:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TF0_THM_NEQ_NAR problem
% 0.15/0.35  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/tmp/tmp.M0hqwdQtbE/Vampire---4.8_15893
% 0.59/0.75  % (16254)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.75  % (16247)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)
% 0.59/0.75  % (16249)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (16250)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)
% 0.59/0.75  % (16248)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)
% 0.59/0.75  % (16252)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)
% 0.59/0.75  % (16251)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)
% 0.59/0.75  % (16253)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)
% 0.59/0.75  % (16250)First to succeed.
% 0.59/0.75  % (16253)Also succeeded, but the first one will report.
% 0.59/0.75  % (16248)Also succeeded, but the first one will report.
% 0.59/0.75  % (16249)Also succeeded, but the first one will report.
% 0.59/0.75  % (16252)Also succeeded, but the first one will report.
% 0.59/0.75  % (16250)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16075"
% 0.59/0.75  % (16250)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (16250)------------------------------
% 0.59/0.75  % (16250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (16250)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (16250)Memory used [KB]: 985
% 0.59/0.75  % (16250)Time elapsed: 0.004 s
% 0.59/0.75  % (16250)Instructions burned: 4 (million)
% 0.59/0.75  % (16075)Success in time 0.393 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------