TSTP Solution File: KRS124+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS124+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 23:20:11 EDT 2024

% Result   : Unsatisfiable 0.47s 0.69s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (   4 unt;   0 def)
%            Number of atoms       :   96 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   90 (  34   ~;  26   |;  12   &)
%                                         (   6 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   59 (  46   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f59,plain,
    $false,
    inference(resolution,[],[f58,f49]) ).

fof(f49,plain,
    cUnsatisfiable(i2003_11_14_17_22_10903),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    cUnsatisfiable(i2003_11_14_17_22_10903),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f58,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f56,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( cdxcomp(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f53,f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ~ cc(X0)
      | cdxcomp(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( cdxcomp(X0)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cc(X0)
     => cdxcomp(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f53,plain,
    ! [X0] :
      ( cc(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f52,f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ ca_Ax3(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ( cc(X0)
        & cd(X0) )
      | ~ ca_Ax3(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ca_Ax3(X0)
     => ( cc(X0)
        & cd(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ca_Ax3(X0)
    <=> ( cc(X0)
        & cd(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f52,plain,
    ! [X0] :
      ( ca_Ax3(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ca_Ax3(sK0(X0))
      | ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f43,f42]) ).

fof(f42,plain,
    ! [X0] :
      ( rr(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Ax3(X1)
            | ~ rr(X0,X1) )
        & rr(X0,sK0(X0)) )
      | ~ cUnsatisfiable(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ? [X2] : rr(X0,X2)
     => rr(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Ax3(X1)
            | ~ rr(X0,X1) )
        & ? [X2] : rr(X0,X2) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ! [X1] :
            ( rr(X0,X1)
           => ca_Ax3(X1) )
        & ? [X2] : rr(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ! [X1] :
            ( rr(X0,X1)
           => ca_Ax3(X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rr(X0,X2) ) ) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rr(X0,X1)
           => ca_Ax3(X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rr(X0,X2) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rr(X0,X1)
           => ca_Ax3(X1) )
        & ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | ca_Ax3(X1)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ cdxcomp(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f54,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cdxcomp(X0) ),
    inference(resolution,[],[f46,f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1] : ~ ra_Px1(X0,X1)
      | ~ cd(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( cd(X0)
     => ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( cd(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f46,plain,
    ! [X0] :
      ( ra_Px1(X0,sK1(X0))
      | ~ cdxcomp(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ra_Px1(X0,sK1(X0))
      | ~ cdxcomp(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f36,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
      | ~ cdxcomp(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( cdxcomp(X0)
     => ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( cdxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( cdxcomp(X0)
    <=> ? [X2] : ra_Px1(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f54,plain,
    ! [X0] :
      ( cd(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f52,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ ca_Ax3(X0)
      | cd(X0) ),
    inference(cnf_transformation,[],[f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : KRS124+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.12  % 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
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat May 18 22:08:52 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_UNS_RFO_NEQ problem
% 0.12/0.33  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/benchmark/theBenchmark.p
% 0.47/0.69  % (8038)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)
% 0.47/0.69  % (8045)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)
% 0.47/0.69  % (8038)Refutation not found, incomplete strategy% (8038)------------------------------
% 0.47/0.69  % (8038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (8038)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (8038)Memory used [KB]: 946
% 0.47/0.69  % (8038)Time elapsed: 0.001 s
% 0.47/0.69  % (8038)Instructions burned: 2 (million)
% 0.47/0.69  % (8045)Refutation not found, incomplete strategy% (8045)------------------------------
% 0.47/0.69  % (8045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (8045)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (8045)Memory used [KB]: 946
% 0.47/0.69  % (8045)Time elapsed: 0.001 s
% 0.47/0.69  % (8045)Instructions burned: 2 (million)
% 0.47/0.69  % (8038)------------------------------
% 0.47/0.69  % (8038)------------------------------
% 0.47/0.69  % (8040)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.69  % (8045)------------------------------
% 0.47/0.69  % (8045)------------------------------
% 0.47/0.69  % (8040)Refutation not found, incomplete strategy% (8040)------------------------------
% 0.47/0.69  % (8040)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (8040)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (8040)Memory used [KB]: 945
% 0.47/0.69  % (8040)Time elapsed: 0.001 s
% 0.47/0.69  % (8040)Instructions burned: 2 (million)
% 0.47/0.69  % (8040)------------------------------
% 0.47/0.69  % (8040)------------------------------
% 0.47/0.69  % (8046)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)
% 0.47/0.69  % (8046)Refutation not found, incomplete strategy% (8046)------------------------------
% 0.47/0.69  % (8046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (8046)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (8046)Memory used [KB]: 945
% 0.47/0.69  % (8046)Time elapsed: 0.002 s
% 0.47/0.69  % (8046)Instructions burned: 2 (million)
% 0.47/0.69  % (8046)------------------------------
% 0.47/0.69  % (8046)------------------------------
% 0.47/0.69  % (8039)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)
% 0.47/0.69  % (8041)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)
% 0.47/0.69  % (8044)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)
% 0.47/0.69  % (8041)Refutation not found, incomplete strategy% (8041)------------------------------
% 0.47/0.69  % (8041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (8041)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (8041)Memory used [KB]: 945
% 0.47/0.69  % (8041)Time elapsed: 0.001 s
% 0.47/0.69  % (8041)Instructions burned: 2 (million)
% 0.47/0.69  % (8044)Refutation not found, incomplete strategy% (8044)------------------------------
% 0.47/0.69  % (8044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (8044)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (8044)Memory used [KB]: 945
% 0.47/0.69  % (8044)Time elapsed: 0.001 s
% 0.47/0.69  % (8044)Instructions burned: 2 (million)
% 0.47/0.69  % (8041)------------------------------
% 0.47/0.69  % (8041)------------------------------
% 0.47/0.69  % (8043)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)
% 0.47/0.69  % (8039)First to succeed.
% 0.47/0.69  % (8044)------------------------------
% 0.47/0.69  % (8044)------------------------------
% 0.47/0.69  % (8039)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8037"
% 0.47/0.69  % (8043)Refutation not found, incomplete strategy% (8043)------------------------------
% 0.47/0.69  % (8043)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (8043)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69  
% 0.47/0.69  % (8043)Memory used [KB]: 953
% 0.47/0.69  % (8043)Time elapsed: 0.002 s
% 0.47/0.69  % (8043)Instructions burned: 2 (million)
% 0.47/0.69  % (8047)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 theBenchmark for (2996ds/55Mi)
% 0.47/0.69  % (8049)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.47/0.69  % (8039)Refutation found. Thanks to Tanya!
% 0.47/0.69  % SZS status Unsatisfiable for theBenchmark
% 0.47/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.69  % (8039)------------------------------
% 0.47/0.69  % (8039)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (8039)Termination reason: Refutation
% 0.47/0.69  
% 0.47/0.69  % (8039)Memory used [KB]: 967
% 0.47/0.69  % (8039)Time elapsed: 0.002 s
% 0.47/0.69  % (8039)Instructions burned: 3 (million)
% 0.47/0.69  % (8037)Success in time 0.347 s
% 0.47/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------