TSTP Solution File: GRP657+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP657+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 : n028.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 05:50:32 EDT 2024

% Result   : Theorem 0.64s 0.75s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (  20 unt;   0 def)
%            Number of atoms       :   38 (  37 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  16   ~;   6   |;   3   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   0 con; 1-2 aty)
%            Number of variables   :   56 (  51   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f365,plain,
    $false,
    inference(trivial_inequality_removal,[],[f364]) ).

fof(f364,plain,
    ! [X0] : sK0(ld(X0,X0)) != sK0(ld(X0,X0)),
    inference(superposition,[],[f329,f201]) ).

fof(f201,plain,
    ! [X0,X1] : mult(ld(X0,X0),X1) = X1,
    inference(forward_demodulation,[],[f186,f16]) ).

fof(f16,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.uUricEKYWt/Vampire---4.8_13797',f04) ).

fof(f186,plain,
    ! [X0,X1] : rd(mult(X1,X0),X0) = mult(ld(X0,X0),X1),
    inference(superposition,[],[f16,f165]) ).

fof(f165,plain,
    ! [X0,X1] : mult(X1,X0) = mult(mult(ld(X0,X0),X1),X0),
    inference(superposition,[],[f40,f14]) ).

fof(f14,plain,
    ! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.uUricEKYWt/Vampire---4.8_13797',f02) ).

fof(f40,plain,
    ! [X2,X0,X1] : mult(mult(ld(X0,X1),X2),X0) = ld(X0,mult(X1,mult(X2,X0))),
    inference(superposition,[],[f14,f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] : mult(X0,mult(mult(ld(X0,X1),X2),X0)) = mult(X1,mult(X2,X0)),
    inference(superposition,[],[f17,f13]) ).

fof(f13,plain,
    ! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.uUricEKYWt/Vampire---4.8_13797',f01) ).

fof(f17,plain,
    ! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,X2)) = mult(X2,mult(mult(X1,X0),X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1,X2] : mult(mult(X2,X1),mult(X0,X2)) = mult(X2,mult(mult(X1,X0),X2)),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : mult(mult(X1,X0),mult(X2,X1)) = mult(X1,mult(mult(X0,X2),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.uUricEKYWt/Vampire---4.8_13797',f05) ).

fof(f329,plain,
    ! [X0] : sK0(ld(X0,X0)) != mult(ld(X0,X0),sK0(ld(X0,X0))),
    inference(trivial_inequality_removal,[],[f328]) ).

fof(f328,plain,
    ! [X0] :
      ( sK0(ld(X0,X0)) != sK0(ld(X0,X0))
      | sK0(ld(X0,X0)) != mult(ld(X0,X0),sK0(ld(X0,X0))) ),
    inference(superposition,[],[f18,f242]) ).

fof(f242,plain,
    ! [X2,X0] : mult(X2,ld(X0,X0)) = X2,
    inference(forward_demodulation,[],[f224,f16]) ).

fof(f224,plain,
    ! [X2,X0,X1] : mult(X2,ld(X0,X0)) = rd(mult(X2,mult(X1,X2)),mult(X1,X2)),
    inference(superposition,[],[f31,f201]) ).

fof(f31,plain,
    ! [X2,X0,X1] : mult(X0,X1) = rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0)),
    inference(superposition,[],[f16,f17]) ).

fof(f18,plain,
    ! [X0] :
      ( sK0(X0) != mult(sK0(X0),X0)
      | sK0(X0) != mult(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( sK0(X0) != mult(X0,sK0(X0))
      | sK0(X0) != mult(sK0(X0),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ? [X1] :
          ( mult(X0,X1) != X1
          | mult(X1,X0) != X1 )
     => ( sK0(X0) != mult(X0,sK0(X0))
        | sK0(X0) != mult(sK0(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ! [X0] :
    ? [X1] :
      ( mult(X0,X1) != X1
      | mult(X1,X0) != X1 ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ ? [X0] :
      ! [X1] :
        ( mult(X0,X1) = X1
        & mult(X1,X0) = X1 ),
    inference(rectify,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ? [X3] :
      ! [X4] :
        ( mult(X3,X4) = X4
        & mult(X4,X3) = X4 ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ? [X3] :
    ! [X4] :
      ( mult(X3,X4) = X4
      & mult(X4,X3) = X4 ),
    file('/export/starexec/sandbox2/tmp/tmp.uUricEKYWt/Vampire---4.8_13797',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP657+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15  % 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
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:43:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_PEQ problem
% 0.15/0.36  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.uUricEKYWt/Vampire---4.8_13797
% 0.59/0.74  % (14008)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)
% 0.59/0.74  % (14011)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)
% 0.59/0.74  % (14011)Refutation not found, incomplete strategy% (14011)------------------------------
% 0.59/0.74  % (14011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14011)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (14008)Refutation not found, incomplete strategy% (14008)------------------------------
% 0.59/0.74  % (14008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14008)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (14008)Memory used [KB]: 967
% 0.59/0.74  % (14008)Time elapsed: 0.002 s
% 0.59/0.74  % (14008)Instructions burned: 2 (million)
% 0.59/0.74  % (14011)Memory used [KB]: 950
% 0.59/0.74  % (14011)Time elapsed: 0.001 s
% 0.59/0.74  % (14011)Instructions burned: 2 (million)
% 0.59/0.74  % (14008)------------------------------
% 0.59/0.74  % (14008)------------------------------
% 0.59/0.74  % (14011)------------------------------
% 0.59/0.74  % (14011)------------------------------
% 0.59/0.74  % (14004)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)
% 0.59/0.74  % (14006)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (14005)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)
% 0.59/0.74  % (14009)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)
% 0.59/0.74  % (14007)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)
% 0.59/0.74  % (14010)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)
% 0.59/0.74  % (14009)Refutation not found, incomplete strategy% (14009)------------------------------
% 0.59/0.74  % (14009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14007)Refutation not found, incomplete strategy% (14007)------------------------------
% 0.59/0.74  % (14007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14007)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (14007)Memory used [KB]: 952
% 0.59/0.74  % (14007)Time elapsed: 0.002 s
% 0.59/0.74  % (14007)Instructions burned: 2 (million)
% 0.59/0.74  % (14009)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  % (14004)Refutation not found, incomplete strategy% (14004)------------------------------
% 0.59/0.74  % (14004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14004)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (14004)Memory used [KB]: 966
% 0.59/0.74  % (14004)Time elapsed: 0.003 s
% 0.59/0.74  % (14004)Instructions burned: 2 (million)
% 0.59/0.74  
% 0.59/0.74  % (14009)Memory used [KB]: 951
% 0.59/0.74  % (14009)Time elapsed: 0.002 s
% 0.59/0.74  % (14009)Instructions burned: 2 (million)
% 0.59/0.74  % (14010)Refutation not found, incomplete strategy% (14010)------------------------------
% 0.59/0.74  % (14010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14007)------------------------------
% 0.59/0.74  % (14007)------------------------------
% 0.59/0.74  % (14010)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  % (14004)------------------------------
% 0.59/0.74  % (14004)------------------------------
% 0.59/0.74  
% 0.59/0.74  % (14010)Memory used [KB]: 950
% 0.59/0.74  % (14010)Time elapsed: 0.003 s
% 0.59/0.74  % (14010)Instructions burned: 2 (million)
% 0.59/0.74  % (14009)------------------------------
% 0.59/0.74  % (14009)------------------------------
% 0.59/0.74  % (14010)------------------------------
% 0.59/0.74  % (14010)------------------------------
% 0.59/0.74  % (14012)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)
% 0.59/0.74  % (14013)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)
% 0.59/0.74  % (14013)Refutation not found, incomplete strategy% (14013)------------------------------
% 0.59/0.74  % (14013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14013)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (14013)Memory used [KB]: 952
% 0.59/0.74  % (14013)Time elapsed: 0.001 s
% 0.59/0.74  % (14013)Instructions burned: 2 (million)
% 0.59/0.74  % (14013)------------------------------
% 0.59/0.74  % (14013)------------------------------
% 0.59/0.74  % (14014)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)
% 0.59/0.74  % (14015)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)
% 0.59/0.74  % (14016)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)
% 0.59/0.74  % (14018)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)
% 0.59/0.75  % (14017)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)
% 0.59/0.75  % (14016)Refutation not found, incomplete strategy% (14016)------------------------------
% 0.59/0.75  % (14016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14016)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14016)Memory used [KB]: 952
% 0.59/0.75  % (14016)Time elapsed: 0.003 s
% 0.59/0.75  % (14016)Instructions burned: 2 (million)
% 0.59/0.75  % (14016)------------------------------
% 0.59/0.75  % (14016)------------------------------
% 0.59/0.75  % (14017)Refutation not found, incomplete strategy% (14017)------------------------------
% 0.59/0.75  % (14017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14017)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14017)Memory used [KB]: 967
% 0.59/0.75  % (14017)Time elapsed: 0.003 s
% 0.59/0.75  % (14017)Instructions burned: 2 (million)
% 0.59/0.75  % (14017)------------------------------
% 0.59/0.75  % (14017)------------------------------
% 0.59/0.75  % (14019)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.59/0.75  % (14020)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.59/0.75  % (14005)First to succeed.
% 0.59/0.75  % (14019)Refutation not found, incomplete strategy% (14019)------------------------------
% 0.59/0.75  % (14019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14019)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14019)Memory used [KB]: 951
% 0.59/0.75  % (14019)Time elapsed: 0.003 s
% 0.59/0.75  % (14019)Instructions burned: 2 (million)
% 0.59/0.75  % (14012)Also succeeded, but the first one will report.
% 0.59/0.75  % (14019)------------------------------
% 0.59/0.75  % (14019)------------------------------
% 0.59/0.75  % (14005)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13994"
% 0.64/0.75  % (14020)Refutation not found, incomplete strategy% (14020)------------------------------
% 0.64/0.75  % (14020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.75  % (14020)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.75  
% 0.64/0.75  % (14020)Memory used [KB]: 967
% 0.64/0.75  % (14020)Time elapsed: 0.003 s
% 0.64/0.75  % (14020)Instructions burned: 2 (million)
% 0.64/0.75  % (14005)Refutation found. Thanks to Tanya!
% 0.64/0.75  % SZS status Theorem for Vampire---4
% 0.64/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.75  % (14005)------------------------------
% 0.64/0.75  % (14005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.75  % (14005)Termination reason: Refutation
% 0.64/0.75  
% 0.64/0.75  % (14005)Memory used [KB]: 1161
% 0.64/0.75  % (14005)Time elapsed: 0.014 s
% 0.64/0.75  % (14005)Instructions burned: 21 (million)
% 0.64/0.75  % (13994)Success in time 0.384 s
% 0.64/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------