TSTP Solution File: AGT016+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : AGT016+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n016.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 : Wed Aug 31 15:38:37 EDT 2022

% Result   : Theorem 1.70s 0.59s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   33 (  13 unt;   0 def)
%            Number of atoms       :   93 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  114 (  54   ~;  39   |;  16   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   47 (  41   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2724,plain,
    $false,
    inference(subsumption_resolution,[],[f2723,f966]) ).

fof(f966,plain,
    ! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X1,X0),
    inference(cnf_transformation,[],[f597]) ).

fof(f597,plain,
    ! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X1,X0),
    inference(ennf_transformation,[],[f561]) ).

fof(f561,plain,
    ~ ? [X0,X1] : ~ accept_population(muslimcountrybhumanitarianorganization,X1,X0),
    inference(rectify,[],[f557]) ).

fof(f557,negated_conjecture,
    ~ ? [X7,X6] : ~ accept_population(muslimcountrybhumanitarianorganization,X6,X7),
    inference(negated_conjecture,[],[f556]) ).

fof(f556,conjecture,
    ? [X7,X6] : ~ accept_population(muslimcountrybhumanitarianorganization,X6,X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_16) ).

fof(f2723,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(subsumption_resolution,[],[f2722,f966]) ).

fof(f2722,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
    inference(subsumption_resolution,[],[f2721,f1861]) ).

fof(f1861,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(subsumption_resolution,[],[f1860,f1394]) ).

fof(f1394,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(resolution,[],[f884,f651]) ).

fof(f651,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_12) ).

fof(f884,plain,
    ! [X2,X0,X1] :
      ( ~ any_agent_in_all_proposed_teams(X2,X1,X0)
      | accept_leader(X2,X1) ),
    inference(cnf_transformation,[],[f619]) ).

fof(f619,plain,
    ! [X0,X1,X2] :
      ( accept_leader(X2,X1)
      | ~ any_agent_in_all_proposed_teams(X2,X1,X0) ),
    inference(rectify,[],[f604]) ).

fof(f604,plain,
    ! [X1,X2,X0] :
      ( accept_leader(X0,X2)
      | ~ any_agent_in_all_proposed_teams(X0,X2,X1) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f560,plain,
    ! [X2,X1,X0] :
      ( any_agent_in_all_proposed_teams(X0,X2,X1)
     => accept_leader(X0,X2) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X3] :
      ( any_agent_in_all_proposed_teams(X0,X3,X1)
     => accept_leader(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_5) ).

fof(f1860,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
    inference(resolution,[],[f988,f1157]) ).

fof(f1157,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_11) ).

fof(f988,plain,
    ! [X2,X0,X1] :
      ( ~ the_agent_not_in_any_proposed_teams(X2,X1,X0)
      | ~ accept_leader(X2,X1)
      | ~ accept_city(X2,X0) ),
    inference(cnf_transformation,[],[f630]) ).

fof(f630,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X2,X1)
      | ~ the_agent_not_in_any_proposed_teams(X2,X1,X0)
      | ~ accept_city(X2,X0) ),
    inference(rectify,[],[f586]) ).

fof(f586,plain,
    ! [X0,X2,X1] :
      ( ~ accept_leader(X1,X2)
      | ~ the_agent_not_in_any_proposed_teams(X1,X2,X0)
      | ~ accept_city(X1,X0) ),
    inference(flattening,[],[f585]) ).

fof(f585,plain,
    ! [X1,X0,X2] :
      ( ~ accept_leader(X1,X2)
      | ~ accept_city(X1,X0)
      | ~ the_agent_not_in_any_proposed_teams(X1,X2,X0) ),
    inference(ennf_transformation,[],[f577]) ).

fof(f577,plain,
    ! [X1,X0,X2] :
      ( the_agent_not_in_any_proposed_teams(X1,X2,X0)
     => ~ ( accept_leader(X1,X2)
          & accept_city(X1,X0) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0,X3] :
      ( the_agent_not_in_any_proposed_teams(X0,X3,X1)
     => ~ ( accept_city(X0,X1)
          & accept_leader(X0,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_6) ).

fof(f2721,plain,
    ( accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    inference(subsumption_resolution,[],[f2720,f966]) ).

fof(f2720,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
    inference(subsumption_resolution,[],[f2714,f966]) ).

fof(f2714,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(resolution,[],[f788,f966]) ).

fof(f788,plain,
    ! [X0] :
      ( ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,atheist,n75)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | accept_city(X0,towna) ),
    inference(cnf_transformation,[],[f608]) ).

fof(f608,plain,
    ! [X0] :
      ( ( accept_city(X0,towna)
        | ~ accept_population(X0,christian,n24)
        | ~ accept_population(X0,muslim,n1)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,atheist,n75) )
      & ( ( accept_population(X0,christian,n24)
          & accept_population(X0,muslim,n1)
          & accept_population(X0,native,n0)
          & accept_population(X0,other,n0)
          & accept_population(X0,atheist,n75) )
        | ~ accept_city(X0,towna) ) ),
    inference(flattening,[],[f607]) ).

fof(f607,plain,
    ! [X0] :
      ( ( accept_city(X0,towna)
        | ~ accept_population(X0,christian,n24)
        | ~ accept_population(X0,muslim,n1)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,atheist,n75) )
      & ( ( accept_population(X0,christian,n24)
          & accept_population(X0,muslim,n1)
          & accept_population(X0,native,n0)
          & accept_population(X0,other,n0)
          & accept_population(X0,atheist,n75) )
        | ~ accept_city(X0,towna) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( accept_city(X0,towna)
    <=> ( accept_population(X0,christian,n24)
        & accept_population(X0,muslim,n1)
        & accept_population(X0,native,n0)
        & accept_population(X0,other,n0)
        & accept_population(X0,atheist,n75) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem    : AGT016+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:07:44 EDT 2022
% 0.20/0.34  % CPUTime    : 
% 0.20/0.49  % (13009)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (13001)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (13025)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  % (13024)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (13017)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53  % (13001)Instruction limit reached!
% 0.20/0.53  % (13001)------------------------------
% 0.20/0.53  % (13001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13022)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54  % (13000)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54  % (13004)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (13001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13001)Termination reason: Unknown
% 0.20/0.54  % (13001)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (13001)Memory used [KB]: 6908
% 0.20/0.54  % (13001)Time elapsed: 0.113 s
% 0.20/0.54  % (13001)Instructions burned: 51 (million)
% 0.20/0.54  % (13001)------------------------------
% 0.20/0.54  % (13001)------------------------------
% 0.20/0.54  % (13012)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (13013)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (13002)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55  % (13016)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (13010)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (13020)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  % (13021)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56  % (13014)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56  % (13005)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.56  % (13011)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (13018)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.56  % (13008)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.58/0.56  % (13028)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.58/0.56  % (13023)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.58/0.57  % (13006)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.57  % (13027)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.58/0.57  % (13003)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.58  % (13029)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.70/0.58  % (13019)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.70/0.58  % (13024)First to succeed.
% 1.70/0.58  % (13026)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.70/0.58  % (13007)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.70/0.58  % (13008)Instruction limit reached!
% 1.70/0.58  % (13008)------------------------------
% 1.70/0.58  % (13008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58  % (13008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58  % (13008)Termination reason: Unknown
% 1.70/0.58  % (13008)Termination phase: Preprocessing 1
% 1.70/0.58  
% 1.70/0.58  % (13008)Memory used [KB]: 1279
% 1.70/0.58  % (13008)Time elapsed: 0.002 s
% 1.70/0.58  % (13008)Instructions burned: 2 (million)
% 1.70/0.58  % (13008)------------------------------
% 1.70/0.58  % (13008)------------------------------
% 1.70/0.59  % (13024)Refutation found. Thanks to Tanya!
% 1.70/0.59  % SZS status Theorem for theBenchmark
% 1.70/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.59  % (13024)------------------------------
% 1.70/0.59  % (13024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (13024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (13024)Termination reason: Refutation
% 1.70/0.59  
% 1.70/0.59  % (13024)Memory used [KB]: 7419
% 1.70/0.59  % (13024)Time elapsed: 0.164 s
% 1.70/0.59  % (13024)Instructions burned: 94 (million)
% 1.70/0.59  % (13024)------------------------------
% 1.70/0.59  % (13024)------------------------------
% 1.70/0.59  % (12999)Success in time 0.237 s
%------------------------------------------------------------------------------