TSTP Solution File: SWW470+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW470+2 : TPTP v8.1.2. Released v5.3.0.
% 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 : Sun May  5 11:17:51 EDT 2024

% Result   : Theorem 0.71s 0.92s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (  16 unt;   0 def)
%            Number of atoms       :   42 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  11   ~;   5   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   40 (  40 usr;  19 con; 0-4 aty)
%            Number of variables   :   47 (  43   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1041,plain,
    $false,
    inference(subsumption_resolution,[],[f1040,f884]) ).

fof(f884,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f737]) ).

fof(f737,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox/tmp/tmp.8oQS80vDqX/Vampire---4.8_3108',help_fFalse_1_1_U) ).

fof(f1040,plain,
    hBOOL(fFalse),
    inference(forward_demodulation,[],[f1039,f941]) ).

fof(f941,plain,
    ! [X0] : fFalse = hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),X0),
    inference(unit_resulting_resolution,[],[f875,f912]) ).

fof(f912,plain,
    ! [X0,X1] :
      ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0
      | ~ is_bool(X0) ),
    inference(cnf_transformation,[],[f866]) ).

fof(f866,plain,
    ! [X0,X1] :
      ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0
      | ~ is_bool(X0) ),
    inference(ennf_transformation,[],[f851]) ).

fof(f851,plain,
    ! [X0,X1] :
      ( is_bool(X0)
     => hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
    inference(rectify,[],[f749]) ).

fof(f749,axiom,
    ! [X204,X205] :
      ( is_bool(X204)
     => hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X204),X205) = X204 ),
    file('/export/starexec/sandbox/tmp/tmp.8oQS80vDqX/Vampire---4.8_3108',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).

fof(f875,plain,
    is_bool(fFalse),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    is_bool(fFalse),
    file('/export/starexec/sandbox/tmp/tmp.8oQS80vDqX/Vampire---4.8_3108',gsy_c_fFalse) ).

fof(f1039,plain,
    hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),sK4(g,c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse))))),
    inference(forward_demodulation,[],[f1028,f907]) ).

fof(f907,plain,
    ! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
    inference(cnf_transformation,[],[f847]) ).

fof(f847,plain,
    ! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
    inference(rectify,[],[f755]) ).

fof(f755,axiom,
    ! [X204,X205] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X204),X205) = X204,
    file('/export/starexec/sandbox/tmp/tmp.8oQS80vDqX/Vampire---4.8_3108',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).

fof(f1028,plain,
    hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),sK3(g,c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)))),sK4(g,c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse))))),
    inference(unit_resulting_resolution,[],[f877,f908]) ).

fof(f908,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X1,X2)),bot_bo1181479936a_bool)))
      | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK3(X0,X1,X2,X3)),sK4(X0,X1,X2,X3))) ),
    inference(cnf_transformation,[],[f874]) ).

fof(f874,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X1,X2)),bot_bo1181479936a_bool)))
      | ( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK4(X0,X1,X2,X3))),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,sK3(X0,X1,X2,X3))))),bot_bo1181479936a_bool)))
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK3(X0,X1,X2,X3)),sK4(X0,X1,X2,X3))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f865,f873]) ).

fof(f873,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5] :
          ( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,X4)))),bot_bo1181479936a_bool)))
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) )
     => ( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK4(X0,X1,X2,X3))),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,sK3(X0,X1,X2,X3))))),bot_bo1181479936a_bool)))
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK3(X0,X1,X2,X3)),sK4(X0,X1,X2,X3))) ) ),
    introduced(choice_axiom,[]) ).

fof(f865,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X1,X2)),bot_bo1181479936a_bool)))
      | ? [X4,X5] :
          ( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,X4)))),bot_bo1181479936a_bool)))
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) ) ),
    inference(ennf_transformation,[],[f848]) ).

fof(f848,plain,
    ! [X0,X1,X2,X3] :
      ( ! [X4,X5] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
         => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,X4)))),bot_bo1181479936a_bool))) )
     => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X1,X2)),bot_bo1181479936a_bool))) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X4,X15,X16,X14] :
      ( ! [X18,X19] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X14,X18),X19))
         => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X19)),X15,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X16,X18)))),bot_bo1181479936a_bool))) )
     => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X14,X15,X16)),bot_bo1181479936a_bool))) ),
    file('/export/starexec/sandbox/tmp/tmp.8oQS80vDqX/Vampire---4.8_3108',fact_10_escape) ).

fof(f877,plain,
    ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
    inference(cnf_transformation,[],[f832]) ).

fof(f832,plain,
    ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
    inference(flattening,[],[f831]) ).

fof(f831,negated_conjecture,
    ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
    inference(negated_conjecture,[],[f830]) ).

fof(f830,conjecture,
    hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
    file('/export/starexec/sandbox/tmp/tmp.8oQS80vDqX/Vampire---4.8_3108',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWW470+2 : TPTP v8.1.2. Released v5.3.0.
% 0.03/0.15  % 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
% 0.16/0.37  % Computer : n022.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 19:34:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.8oQS80vDqX/Vampire---4.8_3108
% 0.71/0.90  % (3354)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 (2994ds/34Mi)
% 0.71/0.90  % (3357)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.71/0.90  % (3356)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.91  % (3355)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 (2994ds/51Mi)
% 0.71/0.91  % (3359)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.71/0.91  % (3361)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 (2994ds/56Mi)
% 0.71/0.91  % (3360)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 (2994ds/83Mi)
% 0.71/0.91  % (3358)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 (2994ds/34Mi)
% 0.71/0.92  % (3357)First to succeed.
% 0.71/0.92  % (3357)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3340"
% 0.71/0.92  % (3354)Instruction limit reached!
% 0.71/0.92  % (3354)------------------------------
% 0.71/0.92  % (3354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92  % (3354)Termination reason: Unknown
% 0.71/0.92  % (3354)Termination phase: Saturation
% 0.71/0.92  
% 0.71/0.92  % (3354)Memory used [KB]: 2179
% 0.71/0.92  % (3354)Time elapsed: 0.013 s
% 0.71/0.92  % (3354)Instructions burned: 37 (million)
% 0.71/0.92  % (3354)------------------------------
% 0.71/0.92  % (3354)------------------------------
% 0.71/0.92  % (3357)Refutation found. Thanks to Tanya!
% 0.71/0.92  % SZS status Theorem for Vampire---4
% 0.71/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.92  % (3357)------------------------------
% 0.71/0.92  % (3357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92  % (3357)Termination reason: Refutation
% 0.71/0.92  
% 0.71/0.92  % (3357)Memory used [KB]: 1961
% 0.71/0.92  % (3357)Time elapsed: 0.012 s
% 0.71/0.92  % (3357)Instructions burned: 20 (million)
% 0.71/0.92  % (3340)Success in time 0.542 s
% 0.71/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------