TSTP Solution File: GRP700+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 05:51:00 EDT 2024

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (  24 unt;   0 def)
%            Number of atoms       :   44 (  43 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  17   ~;   7   |;   3   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   50 (  45   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f872,plain,
    $false,
    inference(trivial_inequality_removal,[],[f871]) ).

fof(f871,plain,
    unit != unit,
    inference(duplicate_literal_removal,[],[f870]) ).

fof(f870,plain,
    ( unit != unit
    | unit != unit ),
    inference(superposition,[],[f57,f821]) ).

fof(f821,plain,
    ! [X0] : unit = mult(X0,rd(unit,X0)),
    inference(forward_demodulation,[],[f799,f42]) ).

fof(f42,plain,
    ! [X0] : unit = rd(X0,X0),
    inference(superposition,[],[f22,f24]) ).

fof(f24,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1] : mult(unit,X1) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.otlkXa2GIo/Vampire---4.8_27033',f06) ).

fof(f22,plain,
    ! [X0,X1] : rd(mult(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X1,X0),X0) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.otlkXa2GIo/Vampire---4.8_27033',f04) ).

fof(f799,plain,
    ! [X0] : rd(X0,X0) = mult(X0,rd(unit,X0)),
    inference(superposition,[],[f22,f775]) ).

fof(f775,plain,
    ! [X0] : mult(mult(X0,rd(unit,X0)),X0) = X0,
    inference(forward_demodulation,[],[f751,f22]) ).

fof(f751,plain,
    ! [X0] : rd(mult(X0,X0),X0) = mult(mult(X0,rd(unit,X0)),X0),
    inference(superposition,[],[f377,f24]) ).

fof(f377,plain,
    ! [X0,X1] : mult(mult(X1,rd(X0,X1)),X1) = rd(mult(X1,mult(X0,X1)),X1),
    inference(superposition,[],[f208,f21]) ).

fof(f21,plain,
    ! [X0,X1] : mult(rd(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X1,X0),X0) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.otlkXa2GIo/Vampire---4.8_27033',f03) ).

fof(f208,plain,
    ! [X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(mult(X1,X0),X0)),X0),
    inference(superposition,[],[f22,f91]) ).

fof(f91,plain,
    ! [X0,X1] : mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
    inference(forward_demodulation,[],[f76,f23]) ).

fof(f23,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1] : mult(X1,unit) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.otlkXa2GIo/Vampire---4.8_27033',f05) ).

fof(f76,plain,
    ! [X0,X1] : mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
    inference(superposition,[],[f25,f23]) ).

fof(f25,plain,
    ! [X2,X0,X1] : mult(mult(mult(X2,X1),X2),mult(X2,X0)) = mult(X2,mult(mult(mult(X1,X2),X2),X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1,X2] : mult(mult(mult(X2,X1),X2),mult(X2,X0)) = mult(X2,mult(mult(mult(X1,X2),X2),X0)),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(mult(mult(X1,X0),X1),mult(X1,X2)) = mult(X1,mult(mult(mult(X0,X1),X1),X2)),
    file('/export/starexec/sandbox2/tmp/tmp.otlkXa2GIo/Vampire---4.8_27033',f07) ).

fof(f57,plain,
    ! [X0] :
      ( unit != mult(sK0,rd(X0,sK0))
      | unit != X0 ),
    inference(superposition,[],[f27,f21]) ).

fof(f27,plain,
    ! [X1] :
      ( unit != mult(X1,sK0)
      | unit != mult(sK0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X1] :
      ( unit != mult(sK0,X1)
      | unit != mult(X1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).

fof(f17,plain,
    ( ? [X0] :
      ! [X1] :
        ( unit != mult(X0,X1)
        | mult(X1,X0) != unit )
   => ! [X1] :
        ( unit != mult(sK0,X1)
        | unit != mult(X1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ? [X0] :
    ! [X1] :
      ( unit != mult(X0,X1)
      | mult(X1,X0) != unit ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ~ ! [X0] :
      ? [X1] :
        ( unit = mult(X0,X1)
        & mult(X1,X0) = unit ),
    inference(rectify,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X3] :
      ? [X4] :
        ( unit = mult(X3,X4)
        & unit = mult(X4,X3) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X3] :
    ? [X4] :
      ( unit = mult(X3,X4)
      & unit = mult(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.otlkXa2GIo/Vampire---4.8_27033',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:49:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_PEQ problem
% 0.14/0.35  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.otlkXa2GIo/Vampire---4.8_27033
% 0.56/0.74  % (27238)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)
% 0.56/0.74  % (27242)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)
% 0.56/0.74  % (27242)Refutation not found, incomplete strategy% (27242)------------------------------
% 0.56/0.74  % (27242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (27242)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (27242)Memory used [KB]: 966
% 0.56/0.74  % (27242)Time elapsed: 0.001 s
% 0.56/0.74  % (27242)Instructions burned: 2 (million)
% 0.56/0.74  % (27238)Refutation not found, incomplete strategy% (27238)------------------------------
% 0.56/0.74  % (27238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (27238)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (27238)Memory used [KB]: 955
% 0.56/0.74  % (27238)Time elapsed: 0.002 s
% 0.56/0.74  % (27238)Instructions burned: 2 (million)
% 0.56/0.74  % (27242)------------------------------
% 0.56/0.74  % (27242)------------------------------
% 0.56/0.74  % (27235)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)
% 0.56/0.74  % (27238)------------------------------
% 0.56/0.74  % (27238)------------------------------
% 0.56/0.74  % (27237)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (27236)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)
% 0.56/0.74  % (27239)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)
% 0.56/0.74  % (27240)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)
% 0.56/0.74  % (27241)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)
% 0.56/0.74  % (27235)Refutation not found, incomplete strategy% (27235)------------------------------
% 0.56/0.74  % (27235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (27235)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (27239)Refutation not found, incomplete strategy% (27239)------------------------------
% 0.56/0.74  % (27239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (27239)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (27239)Memory used [KB]: 969
% 0.56/0.74  % (27239)Time elapsed: 0.002 s
% 0.56/0.74  % (27239)Instructions burned: 2 (million)
% 0.56/0.74  % (27235)Memory used [KB]: 968
% 0.56/0.74  % (27235)Time elapsed: 0.003 s
% 0.56/0.74  % (27235)Instructions burned: 2 (million)
% 0.56/0.74  % (27239)------------------------------
% 0.56/0.74  % (27239)------------------------------
% 0.56/0.74  % (27235)------------------------------
% 0.56/0.74  % (27235)------------------------------
% 0.56/0.74  % (27241)Refutation not found, incomplete strategy% (27241)------------------------------
% 0.56/0.74  % (27241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (27241)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (27241)Memory used [KB]: 956
% 0.56/0.74  % (27241)Time elapsed: 0.003 s
% 0.56/0.74  % (27241)Instructions burned: 2 (million)
% 0.56/0.74  % (27241)------------------------------
% 0.56/0.74  % (27241)------------------------------
% 0.56/0.74  % (27246)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)
% 0.56/0.74  % (27245)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)
% 0.56/0.74  % (27246)Refutation not found, incomplete strategy% (27246)------------------------------
% 0.56/0.74  % (27246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (27246)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (27246)Memory used [KB]: 955
% 0.56/0.74  % (27246)Time elapsed: 0.001 s
% 0.56/0.74  % (27246)Instructions burned: 2 (million)
% 0.56/0.74  % (27246)------------------------------
% 0.56/0.74  % (27246)------------------------------
% 0.56/0.74  % (27248)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)
% 0.56/0.74  % (27249)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)
% 0.56/0.74  % (27250)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)
% 0.56/0.74  % (27251)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)
% 0.56/0.75  % (27251)Refutation not found, incomplete strategy% (27251)------------------------------
% 0.56/0.75  % (27251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (27251)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (27251)Memory used [KB]: 952
% 0.56/0.75  % (27251)Time elapsed: 0.001 s
% 0.56/0.75  % (27251)Instructions burned: 2 (million)
% 0.56/0.75  % (27251)------------------------------
% 0.56/0.75  % (27251)------------------------------
% 0.56/0.75  % (27256)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 (2996ds/243Mi)
% 0.56/0.76  % (27245)First to succeed.
% 0.56/0.76  % (27245)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27194"
% 0.56/0.76  % (27245)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Theorem for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (27245)------------------------------
% 0.56/0.76  % (27245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (27245)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (27245)Memory used [KB]: 1415
% 0.56/0.76  % (27245)Time elapsed: 0.019 s
% 0.56/0.76  % (27245)Instructions burned: 55 (million)
% 0.56/0.76  % (27194)Success in time 0.395 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------