TSTP Solution File: KRS090+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n007.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 07:17:49 EDT 2024

% Result   : Unsatisfiable 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   41 (   6 unt;   0 def)
%            Number of atoms       :  125 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  151 (  67   ~;  63   |;  13   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   41 (  38   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f82,plain,
    $false,
    inference(resolution,[],[f81,f62]) ).

fof(f62,plain,
    cC4(i2003_11_14_17_19_57994),
    inference(resolution,[],[f59,f61]) ).

fof(f61,plain,
    cTEST(i2003_11_14_17_19_57994),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    cTEST(i2003_11_14_17_19_57994),
    file('/export/starexec/sandbox2/tmp/tmp.yLE7sdkoiB/Vampire---4.8_32003',axiom_8) ).

fof(f59,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC4(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ( cC5(X0)
        & cC4(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC5(X0)
        & cC4(X0) ) ),
    inference(pure_predicate_removal,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( cTEST(X0)
     => ( cC5(X0)
        & cC1(X0)
        & cC4(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yLE7sdkoiB/Vampire---4.8_32003',axiom_7) ).

fof(f81,plain,
    ~ cC4(i2003_11_14_17_19_57994),
    inference(resolution,[],[f80,f63]) ).

fof(f63,plain,
    cC5(i2003_11_14_17_19_57994),
    inference(resolution,[],[f60,f61]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC5(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ cC5(X0)
      | ~ cC4(X0) ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ cC4(X0)
      | ~ cC5(X0)
      | ~ cC4(X0)
      | ~ cC5(X0) ),
    inference(resolution,[],[f78,f69]) ).

fof(f69,plain,
    ! [X0] :
      ( cB(sK0(X0))
      | ~ cC4(X0)
      | ~ cC5(X0) ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ cC4(X0)
      | cB(sK0(X0))
      | ~ cC5(X0)
      | cB(sK0(X0))
      | ~ cC4(X0) ),
    inference(resolution,[],[f66,f64]) ).

fof(f64,plain,
    ! [X0] :
      ( cA(sK0(X0))
      | cB(sK0(X0))
      | ~ cC4(X0) ),
    inference(resolution,[],[f53,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( cC2(sK0(X0))
      | ~ cC4(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( cC2(sK0(X0))
        & rR(X0,sK0(X0)) )
      | ~ cC4(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ? [X1] :
          ( cC2(X1)
          & rR(X0,X1) )
     => ( cC2(sK0(X0))
        & rR(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X1] :
          ( cC2(X1)
          & rR(X0,X1) )
      | ~ cC4(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( cC4(X0)
     => ? [X1] :
          ( cC2(X1)
          & rR(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yLE7sdkoiB/Vampire---4.8_32003',axiom_5) ).

fof(f53,plain,
    ! [X0] :
      ( ~ cC2(X0)
      | cB(X0)
      | cA(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ( ( cA(X0)
          | cB(X0) )
        & ( cA(X0)
          | ~ cB(X0) ) )
      | ~ cC2(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cC2(X0)
     => ( ( cA(X0)
          | cB(X0) )
        & ( cA(X0)
          | ~ cB(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yLE7sdkoiB/Vampire---4.8_32003',axiom_3) ).

fof(f66,plain,
    ! [X0] :
      ( ~ cA(sK0(X0))
      | ~ cC4(X0)
      | cB(sK0(X0))
      | ~ cC5(X0) ),
    inference(resolution,[],[f65,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ cC3(X0)
      | cB(X0)
      | ~ cA(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ( ( ~ cA(X0)
          | cB(X0) )
        & ( ~ cA(X0)
          | ~ cB(X0) ) )
      | ~ cC3(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( cC3(X0)
     => ( ( ~ cA(X0)
          | cB(X0) )
        & ( ~ cA(X0)
          | ~ cB(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yLE7sdkoiB/Vampire---4.8_32003',axiom_4) ).

fof(f65,plain,
    ! [X0] :
      ( cC3(sK0(X0))
      | ~ cC5(X0)
      | ~ cC4(X0) ),
    inference(resolution,[],[f58,f56]) ).

fof(f56,plain,
    ! [X0] :
      ( rR(X0,sK0(X0))
      | ~ cC4(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ rR(X0,X1)
      | cC3(X1)
      | ~ cC5(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( cC3(X1)
          | ~ rR(X0,X1) )
      | ~ cC5(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( cC5(X0)
     => ! [X1] :
          ( rR(X0,X1)
         => cC3(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yLE7sdkoiB/Vampire---4.8_32003',axiom_6) ).

fof(f78,plain,
    ! [X0] :
      ( ~ cB(sK0(X0))
      | ~ cC4(X0)
      | ~ cC5(X0) ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ cC5(X0)
      | ~ cC4(X0)
      | ~ cC4(X0)
      | ~ cB(sK0(X0))
      | ~ cC5(X0) ),
    inference(resolution,[],[f74,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ cA(sK0(X0))
      | ~ cC4(X0)
      | ~ cB(sK0(X0))
      | ~ cC5(X0) ),
    inference(resolution,[],[f65,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ cC3(X0)
      | ~ cB(X0)
      | ~ cA(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f74,plain,
    ! [X0] :
      ( cA(sK0(X0))
      | ~ cC5(X0)
      | ~ cC4(X0) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ cC5(X0)
      | cA(sK0(X0))
      | ~ cC4(X0)
      | ~ cC4(X0) ),
    inference(resolution,[],[f70,f57]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ cC2(sK0(X0))
      | ~ cC5(X0)
      | cA(sK0(X0))
      | ~ cC4(X0) ),
    inference(resolution,[],[f69,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ cB(X0)
      | cA(X0)
      | ~ cC2(X0) ),
    inference(cnf_transformation,[],[f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.12  % 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
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 19:50:53 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_UNS_RFO_NEQ problem
% 0.11/0.32  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.yLE7sdkoiB/Vampire---4.8_32003
% 0.62/0.79  % (32118)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 (2995ds/34Mi)
% 0.62/0.79  % (32117)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.79  % (32119)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.79  % (32116)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79  % (32120)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 (2995ds/83Mi)
% 0.62/0.79  % (32114)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 (2995ds/34Mi)
% 0.62/0.79  % (32121)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 (2995ds/56Mi)
% 0.62/0.79  % (32117)Refutation not found, incomplete strategy% (32117)------------------------------
% 0.62/0.79  % (32117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (32119)Refutation not found, incomplete strategy% (32119)------------------------------
% 0.62/0.79  % (32119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (32117)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (32117)Memory used [KB]: 963
% 0.62/0.79  % (32117)Time elapsed: 0.002 s
% 0.62/0.79  % (32117)Instructions burned: 2 (million)
% 0.62/0.79  % (32119)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (32120)Refutation not found, incomplete strategy% (32120)------------------------------
% 0.62/0.79  % (32120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (32120)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (32120)Memory used [KB]: 963
% 0.62/0.79  % (32120)Time elapsed: 0.002 s
% 0.62/0.79  % (32120)Instructions burned: 2 (million)
% 0.62/0.79  % (32114)Refutation not found, incomplete strategy% (32114)------------------------------
% 0.62/0.79  % (32114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (32119)Memory used [KB]: 963
% 0.62/0.79  % (32119)Time elapsed: 0.002 s
% 0.62/0.79  % (32119)Instructions burned: 2 (million)
% 0.62/0.79  % (32114)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (32114)Memory used [KB]: 963
% 0.62/0.79  % (32121)Refutation not found, incomplete strategy% (32121)------------------------------
% 0.62/0.79  % (32121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (32121)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (32121)Memory used [KB]: 963
% 0.62/0.79  % (32121)Time elapsed: 0.002 s
% 0.62/0.79  % (32121)Instructions burned: 2 (million)
% 0.62/0.79  % (32114)Time elapsed: 0.002 s
% 0.62/0.79  % (32114)Instructions burned: 2 (million)
% 0.62/0.80  % (32117)------------------------------
% 0.62/0.80  % (32117)------------------------------
% 0.62/0.80  % (32120)------------------------------
% 0.62/0.80  % (32120)------------------------------
% 0.62/0.80  % (32119)------------------------------
% 0.62/0.80  % (32119)------------------------------
% 0.62/0.80  % (32121)------------------------------
% 0.62/0.80  % (32121)------------------------------
% 0.62/0.80  % (32114)------------------------------
% 0.62/0.80  % (32114)------------------------------
% 0.62/0.80  % (32118)Refutation not found, incomplete strategy% (32118)------------------------------
% 0.62/0.80  % (32118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (32118)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (32118)Memory used [KB]: 989
% 0.62/0.80  % (32118)Time elapsed: 0.003 s
% 0.62/0.80  % (32118)Instructions burned: 3 (million)
% 0.62/0.80  % (32118)------------------------------
% 0.62/0.80  % (32118)------------------------------
% 0.62/0.80  % (32116)Refutation not found, incomplete strategy% (32116)------------------------------
% 0.62/0.80  % (32116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (32116)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (32116)Memory used [KB]: 962
% 0.62/0.80  % (32116)Time elapsed: 0.003 s
% 0.62/0.80  % (32116)Instructions burned: 2 (million)
% 0.62/0.80  % (32116)------------------------------
% 0.62/0.80  % (32116)------------------------------
% 0.62/0.80  % (32115)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 (2995ds/51Mi)
% 0.62/0.80  % (32115)First to succeed.
% 0.62/0.80  % (32115)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32112"
% 0.62/0.80  % (32122)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 Vampire---4 for (2995ds/55Mi)
% 0.62/0.80  % (32124)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.80  % (32123)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 Vampire---4 for (2995ds/50Mi)
% 0.62/0.80  % (32126)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.80  % (32125)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 Vampire---4 for (2995ds/52Mi)
% 0.62/0.80  % (32127)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.80  % (32124)Refutation not found, incomplete strategy% (32124)------------------------------
% 0.62/0.80  % (32124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (32124)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (32124)Memory used [KB]: 963
% 0.62/0.80  % (32124)Time elapsed: 0.002 s
% 0.62/0.80  % (32128)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.62/0.80  % (32124)Instructions burned: 2 (million)
% 0.62/0.80  % (32126)Refutation not found, incomplete strategy% (32126)------------------------------
% 0.62/0.80  % (32126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (32126)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (32126)Memory used [KB]: 963
% 0.62/0.80  % (32126)Time elapsed: 0.002 s
% 0.62/0.80  % (32126)Instructions burned: 2 (million)
% 0.62/0.80  % (32115)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (32115)------------------------------
% 0.62/0.80  % (32115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (32115)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (32115)Memory used [KB]: 1020
% 0.62/0.80  % (32115)Time elapsed: 0.004 s
% 0.62/0.80  % (32115)Instructions burned: 4 (million)
% 0.62/0.80  % (32112)Success in time 0.471 s
% 0.62/0.80  % Vampire---4.8 exiting
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