TSTP Solution File: SYN072+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 11:55:55 EDT 2024

% Result   : Theorem 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (  13 unt;   0 def)
%            Number of atoms       :   77 (  26 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   64 (  28   ~;  31   |;   0   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   16 (  10   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f174,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f49,f129,f172]) ).

fof(f172,plain,
    ( ~ spl3_1
    | spl3_5 ),
    inference(avatar_contradiction_clause,[],[f171]) ).

fof(f171,plain,
    ( $false
    | ~ spl3_1
    | spl3_5 ),
    inference(subsumption_resolution,[],[f167,f13]) ).

fof(f13,plain,
    big_p(a),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    big_p(a),
    file('/export/starexec/sandbox/tmp/tmp.w74eqhFhGI/Vampire---4.8_15218',pel49_2) ).

fof(f167,plain,
    ( ~ big_p(a)
    | ~ spl3_1
    | spl3_5 ),
    inference(backward_demodulation,[],[f50,f158]) ).

fof(f158,plain,
    ( a = sK0
    | spl3_5 ),
    inference(unit_resulting_resolution,[],[f15,f115,f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( X0 = X1
      | sK0 = X1
      | sK0 = X0 ),
    inference(superposition,[],[f12,f12]) ).

fof(f12,plain,
    ! [X2] :
      ( sK1 = X2
      | sK0 = X2 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X2] :
      ( sK1 = X2
      | sK0 = X2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1,f8]) ).

fof(f8,plain,
    ( ? [X0,X1] :
      ! [X2] :
        ( X1 = X2
        | X0 = X2 )
   => ! [X2] :
        ( sK1 = X2
        | sK0 = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0,X1] :
    ! [X2] :
      ( X1 = X2
      | X0 = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.w74eqhFhGI/Vampire---4.8_15218',pel49_1) ).

fof(f115,plain,
    ( b != sK0
    | spl3_5 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl3_5
  <=> b = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f15,plain,
    a != b,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    a != b,
    file('/export/starexec/sandbox/tmp/tmp.w74eqhFhGI/Vampire---4.8_15218',pel49_4) ).

fof(f50,plain,
    ( ~ big_p(sK0)
    | ~ spl3_1 ),
    inference(backward_demodulation,[],[f16,f23]) ).

fof(f23,plain,
    ( sK0 = sK2
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl3_1
  <=> sK0 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f16,plain,
    ~ big_p(sK2),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ big_p(sK2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f7,f10]) ).

fof(f10,plain,
    ( ? [X0] : ~ big_p(X0)
   => ~ big_p(sK2) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ? [X0] : ~ big_p(X0),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X0] : big_p(X0),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X0] : big_p(X0),
    file('/export/starexec/sandbox/tmp/tmp.w74eqhFhGI/Vampire---4.8_15218',pel49) ).

fof(f129,plain,
    ( ~ spl3_1
    | ~ spl3_5 ),
    inference(avatar_contradiction_clause,[],[f128]) ).

fof(f128,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(subsumption_resolution,[],[f125,f14]) ).

fof(f14,plain,
    big_p(b),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    big_p(b),
    file('/export/starexec/sandbox/tmp/tmp.w74eqhFhGI/Vampire---4.8_15218',pel49_3) ).

fof(f125,plain,
    ( ~ big_p(b)
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(backward_demodulation,[],[f50,f116]) ).

fof(f116,plain,
    ( b = sK0
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f49,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f48]) ).

fof(f48,plain,
    ( $false
    | spl3_2 ),
    inference(subsumption_resolution,[],[f47,f15]) ).

fof(f47,plain,
    ( a = b
    | spl3_2 ),
    inference(backward_demodulation,[],[f42,f41]) ).

fof(f41,plain,
    ( a = sK0
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f13,f37]) ).

fof(f37,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | sK0 = X0 )
    | spl3_2 ),
    inference(superposition,[],[f27,f12]) ).

fof(f27,plain,
    ( ~ big_p(sK1)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl3_2
  <=> big_p(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f42,plain,
    ( b = sK0
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f14,f37]) ).

fof(f28,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f18,f25,f21]) ).

fof(f18,plain,
    ( ~ big_p(sK1)
    | sK0 = sK2 ),
    inference(superposition,[],[f16,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.17  % 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
% 0.15/0.38  % Computer : n027.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Fri May  3 17:30:38 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a FOF_THM_EPR_SEQ problem
% 0.15/0.38  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.w74eqhFhGI/Vampire---4.8_15218
% 0.54/0.75  % (15334)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)
% 0.54/0.76  % (15334)Refutation not found, incomplete strategy% (15334)------------------------------
% 0.54/0.76  % (15334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15334)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15334)Memory used [KB]: 948
% 0.54/0.76  % (15334)Time elapsed: 0.002 s
% 0.54/0.76  % (15334)Instructions burned: 2 (million)
% 0.54/0.76  % (15328)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)
% 0.54/0.76  % (15334)------------------------------
% 0.54/0.76  % (15334)------------------------------
% 0.54/0.76  % (15330)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (15329)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)
% 0.54/0.76  % (15333)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)
% 0.54/0.76  % (15331)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)
% 0.54/0.76  % (15333)Refutation not found, incomplete strategy% (15333)------------------------------
% 0.54/0.76  % (15333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15333)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15333)Memory used [KB]: 942
% 0.54/0.76  % (15333)Time elapsed: 0.003 s
% 0.54/0.76  % (15333)Instructions burned: 2 (million)
% 0.54/0.76  % (15331)Refutation not found, incomplete strategy% (15331)------------------------------
% 0.54/0.76  % (15331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15328)Refutation not found, incomplete strategy% (15328)------------------------------
% 0.54/0.76  % (15328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15328)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15328)Memory used [KB]: 945
% 0.54/0.76  % (15328)Time elapsed: 0.002 s
% 0.54/0.76  % (15328)Instructions burned: 2 (million)
% 0.54/0.76  % (15331)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  % (15335)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)
% 0.54/0.76  
% 0.54/0.76  % (15331)Memory used [KB]: 942
% 0.54/0.76  % (15331)Time elapsed: 0.002 s
% 0.54/0.76  % (15331)Instructions burned: 2 (million)
% 0.54/0.76  % (15333)------------------------------
% 0.54/0.76  % (15333)------------------------------
% 0.54/0.76  % (15328)------------------------------
% 0.54/0.76  % (15328)------------------------------
% 0.54/0.76  % (15331)------------------------------
% 0.54/0.76  % (15331)------------------------------
% 0.54/0.76  % (15335)Refutation not found, incomplete strategy% (15335)------------------------------
% 0.54/0.76  % (15335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15335)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15335)Memory used [KB]: 942
% 0.54/0.76  % (15335)Time elapsed: 0.003 s
% 0.54/0.76  % (15335)Instructions burned: 2 (million)
% 0.54/0.76  % (15335)------------------------------
% 0.54/0.76  % (15335)------------------------------
% 0.54/0.76  % (15332)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)
% 0.54/0.76  % (15332)Refutation not found, incomplete strategy% (15332)------------------------------
% 0.54/0.76  % (15332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15332)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15332)Memory used [KB]: 947
% 0.54/0.76  % (15332)Time elapsed: 0.002 s
% 0.54/0.76  % (15332)Instructions burned: 2 (million)
% 0.54/0.76  % (15332)------------------------------
% 0.54/0.76  % (15332)------------------------------
% 0.54/0.76  % (15336)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 (2996ds/55Mi)
% 0.54/0.76  % (15338)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 (2996ds/208Mi)
% 0.54/0.76  % (15341)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 (2996ds/42Mi)
% 0.54/0.76  % (15339)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 (2996ds/52Mi)
% 0.54/0.76  % (15340)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 (2996ds/518Mi)
% 0.54/0.76  % (15341)Refutation not found, incomplete strategy% (15341)------------------------------
% 0.54/0.76  % (15341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15341)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15341)Memory used [KB]: 947
% 0.54/0.76  % (15341)Time elapsed: 0.001 s
% 0.54/0.76  % (15341)Instructions burned: 2 (million)
% 0.54/0.76  % (15338)Refutation not found, incomplete strategy% (15338)------------------------------
% 0.54/0.76  % (15338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15337)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 (2996ds/50Mi)
% 0.54/0.76  % (15338)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15338)Memory used [KB]: 945
% 0.54/0.76  % (15338)Time elapsed: 0.003 s
% 0.54/0.76  % (15338)Instructions burned: 2 (million)
% 0.54/0.76  % (15341)------------------------------
% 0.54/0.76  % (15341)------------------------------
% 0.54/0.76  % (15338)------------------------------
% 0.54/0.76  % (15338)------------------------------
% 0.54/0.76  % (15340)Refutation not found, incomplete strategy% (15340)------------------------------
% 0.54/0.76  % (15340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15340)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15340)Memory used [KB]: 946
% 0.54/0.76  % (15340)Time elapsed: 0.003 s
% 0.54/0.76  % (15340)Instructions burned: 2 (million)
% 0.54/0.76  % (15337)Refutation not found, incomplete strategy% (15337)------------------------------
% 0.54/0.76  % (15337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (15337)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (15337)Memory used [KB]: 950
% 0.54/0.76  % (15337)Time elapsed: 0.002 s
% 0.54/0.76  % (15337)Instructions burned: 2 (million)
% 0.54/0.76  % (15340)------------------------------
% 0.54/0.76  % (15340)------------------------------
% 0.54/0.76  % (15337)------------------------------
% 0.54/0.76  % (15337)------------------------------
% 0.54/0.76  % (15336)First to succeed.
% 0.54/0.76  % (15336)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15326"
% 0.54/0.76  % (15336)Refutation found. Thanks to Tanya!
% 0.54/0.76  % SZS status Theorem for Vampire---4
% 0.54/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.77  % (15336)------------------------------
% 0.54/0.77  % (15336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (15336)Termination reason: Refutation
% 0.54/0.77  
% 0.54/0.77  % (15336)Memory used [KB]: 1007
% 0.54/0.77  % (15336)Time elapsed: 0.006 s
% 0.54/0.77  % (15336)Instructions burned: 8 (million)
% 0.54/0.77  % (15326)Success in time 0.369 s
% 0.54/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------