%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP703+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 : n017.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 May  1 02:32:25 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   40 (  20 unt;   0 def)
%            Number of atoms       :   71 (  49 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   57 (  26   ~;  21   |;   6   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   35 (  31   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f140,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f118,f136,f139]) ).

fof(f139,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f138]) ).

fof(f138,plain,
    ( $false
    | spl2_3 ),
    inference(subsumption_resolution,[],[f137,f28]) ).

fof(f28,plain,
    ! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
    file('/export/starexec/sandbox2/tmp/tmp.urtBR8Xteh/Vampire---4.8_10311',f10) ).

fof(f137,plain,
    ( mult(sK0,mult(op_c,sK1)) != mult(mult(sK0,op_c),sK1)
    | spl2_3 ),
    inference(forward_demodulation,[],[f46,f114]) ).

fof(f114,plain,
    op_c = op_e,
    inference(forward_demodulation,[],[f113,f35]) ).

fof(f35,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.urtBR8Xteh/Vampire---4.8_10311',f03) ).

fof(f113,plain,
    ! [X0] : op_e = mult(rd(op_c,X0),X0),
    inference(forward_demodulation,[],[f103,f33]) ).

fof(f33,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1] : mult(X1,unit) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.urtBR8Xteh/Vampire---4.8_10311',f05) ).

fof(f103,plain,
    ! [X0] : op_e = mult(mult(rd(op_c,X0),unit),X0),
    inference(superposition,[],[f26,f33]) ).

fof(f26,plain,
    ! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X1,X0)),X0),X1),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X1,X0)),X0),X1),
    file('/export/starexec/sandbox2/tmp/tmp.urtBR8Xteh/Vampire---4.8_10311',f12) ).

fof(f46,plain,
    ( mult(sK0,mult(op_e,sK1)) != mult(mult(sK0,op_e),sK1)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl2_3
  <=> mult(sK0,mult(op_e,sK1)) = mult(mult(sK0,op_e),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f136,plain,
    spl2_2,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | spl2_2 ),
    inference(subsumption_resolution,[],[f134,f29]) ).

fof(f29,plain,
    ! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
    file('/export/starexec/sandbox2/tmp/tmp.urtBR8Xteh/Vampire---4.8_10311',f09) ).

fof(f134,plain,
    ( mult(sK0,mult(sK1,op_c)) != mult(mult(sK0,sK1),op_c)
    | spl2_2 ),
    inference(forward_demodulation,[],[f43,f114]) ).

fof(f43,plain,
    ( mult(sK0,mult(sK1,op_e)) != mult(mult(sK0,sK1),op_e)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl2_2
  <=> mult(sK0,mult(sK1,op_e)) = mult(mult(sK0,sK1),op_e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f118,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f117]) ).

fof(f117,plain,
    ( $false
    | spl2_1 ),
    inference(subsumption_resolution,[],[f115,f30]) ).

fof(f30,plain,
    ! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
    file('/export/starexec/sandbox2/tmp/tmp.urtBR8Xteh/Vampire---4.8_10311',f08) ).

fof(f115,plain,
    ( mult(op_c,mult(sK0,sK1)) != mult(mult(op_c,sK0),sK1)
    | spl2_1 ),
    inference(backward_demodulation,[],[f40,f114]) ).

fof(f40,plain,
    ( mult(op_e,mult(sK0,sK1)) != mult(mult(op_e,sK0),sK1)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl2_1
  <=> mult(op_e,mult(sK0,sK1)) = mult(mult(op_e,sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f47,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f24,f45,f42,f39]) ).

fof(f24,plain,
    ( mult(sK0,mult(op_e,sK1)) != mult(mult(sK0,op_e),sK1)
    | mult(sK0,mult(sK1,op_e)) != mult(mult(sK0,sK1),op_e)
    | mult(op_e,mult(sK0,sK1)) != mult(mult(op_e,sK0),sK1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( mult(sK0,mult(op_e,sK1)) != mult(mult(sK0,op_e),sK1)
    | mult(sK0,mult(sK1,op_e)) != mult(mult(sK0,sK1),op_e)
    | mult(op_e,mult(sK0,sK1)) != mult(mult(op_e,sK0),sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f22]) ).

fof(f22,plain,
    ( ? [X0,X1] :
        ( mult(X0,mult(op_e,X1)) != mult(mult(X0,op_e),X1)
        | mult(X0,mult(X1,op_e)) != mult(mult(X0,X1),op_e)
        | mult(op_e,mult(X0,X1)) != mult(mult(op_e,X0),X1) )
   => ( mult(sK0,mult(op_e,sK1)) != mult(mult(sK0,op_e),sK1)
      | mult(sK0,mult(sK1,op_e)) != mult(mult(sK0,sK1),op_e)
      | mult(op_e,mult(sK0,sK1)) != mult(mult(op_e,sK0),sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ? [X0,X1] :
      ( mult(X0,mult(op_e,X1)) != mult(mult(X0,op_e),X1)
      | mult(X0,mult(X1,op_e)) != mult(mult(X0,X1),op_e)
      | mult(op_e,mult(X0,X1)) != mult(mult(op_e,X0),X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ~ ! [X0,X1] :
        ( mult(X0,mult(op_e,X1)) = mult(mult(X0,op_e),X1)
        & mult(X0,mult(X1,op_e)) = mult(mult(X0,X1),op_e)
        & mult(op_e,mult(X0,X1)) = mult(mult(op_e,X0),X1) ),
    inference(rectify,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ ! [X3,X4] :
        ( mult(X3,mult(op_e,X4)) = mult(mult(X3,op_e),X4)
        & mult(X3,mult(X4,op_e)) = mult(mult(X3,X4),op_e)
        & mult(op_e,mult(X3,X4)) = mult(mult(op_e,X3),X4) ),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    ! [X3,X4] :
      ( mult(X3,mult(op_e,X4)) = mult(mult(X3,op_e),X4)
      & mult(X3,mult(X4,op_e)) = mult(mult(X3,X4),op_e)
      & mult(op_e,mult(X3,X4)) = mult(mult(op_e,X3),X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.urtBR8Xteh/Vampire---4.8_10311',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : GRP703+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12  % 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
% 0.13/0.32  % Computer : n017.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Tue Apr 30 17:57:49 EDT 2024
% 0.13/0.32  % CPUTime    : 
% 0.13/0.32  This is a FOF_THM_RFO_PEQ problem
% 0.13/0.33  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.urtBR8Xteh/Vampire---4.8_10311
% 0.61/0.78  % (10424)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.78  % (10425)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 (2995ds/34Mi)
% 0.61/0.78  % (10421)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 (2995ds/34Mi)
% 0.61/0.78  % (10426)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.78  % (10427)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 (2995ds/83Mi)
% 0.61/0.78  % (10422)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 (2995ds/51Mi)
% 0.61/0.79  % (10428)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 (2995ds/56Mi)
% 0.61/0.79  % (10425)Refutation not found, incomplete strategy% (10425)------------------------------
% 0.61/0.79  % (10425)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (10426)Refutation not found, incomplete strategy% (10426)------------------------------
% 0.61/0.79  % (10426)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (10426)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (10426)Memory used [KB]: 958
% 0.61/0.79  % (10426)Time elapsed: 0.003 s
% 0.61/0.79  % (10426)Instructions burned: 2 (million)
% 0.61/0.79  % (10426)------------------------------
% 0.61/0.79  % (10426)------------------------------
% 0.61/0.79  % (10424)Refutation not found, incomplete strategy% (10424)------------------------------
% 0.61/0.79  % (10424)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (10425)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  % (10424)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (10424)Memory used [KB]: 958
% 0.61/0.79  % (10424)Time elapsed: 0.003 s
% 0.61/0.79  % (10424)Instructions burned: 2 (million)
% 0.61/0.79  % (10424)------------------------------
% 0.61/0.79  % (10424)------------------------------
% 0.61/0.79  
% 0.61/0.79  % (10425)Memory used [KB]: 1040
% 0.61/0.79  % (10425)Time elapsed: 0.003 s
% 0.61/0.79  % (10425)Instructions burned: 3 (million)
% 0.61/0.79  % (10425)------------------------------
% 0.61/0.79  % (10425)------------------------------
% 0.61/0.79  % (10421)Refutation not found, incomplete strategy% (10421)------------------------------
% 0.61/0.79  % (10421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (10421)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (10421)Memory used [KB]: 1035
% 0.61/0.79  % (10421)Time elapsed: 0.004 s
% 0.61/0.79  % (10421)Instructions burned: 3 (million)
% 0.61/0.79  % (10421)------------------------------
% 0.61/0.79  % (10421)------------------------------
% 0.61/0.79  % (10423)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (10428)Refutation not found, incomplete strategy% (10428)------------------------------
% 0.61/0.79  % (10428)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (10428)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (10428)Memory used [KB]: 958
% 0.61/0.79  % (10428)Time elapsed: 0.003 s
% 0.61/0.79  % (10428)Instructions burned: 2 (million)
% 0.61/0.79  % (10428)------------------------------
% 0.61/0.79  % (10428)------------------------------
% 0.61/0.79  % (10427)Refutation not found, incomplete strategy% (10427)------------------------------
% 0.61/0.79  % (10427)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (10427)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (10427)Memory used [KB]: 1022
% 0.61/0.79  % (10427)Time elapsed: 0.004 s
% 0.61/0.79  % (10427)Instructions burned: 3 (million)
% 0.61/0.79  % (10427)------------------------------
% 0.61/0.79  % (10427)------------------------------
% 0.61/0.79  % (10429)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 (2995ds/55Mi)
% 0.61/0.79  % (10430)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 (2995ds/50Mi)
% 0.61/0.79  % (10431)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 (2995ds/208Mi)
% 0.61/0.79  % (10432)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 (2995ds/52Mi)
% 0.61/0.79  % (10433)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 (2995ds/518Mi)
% 0.61/0.79  % (10430)Refutation not found, incomplete strategy% (10430)------------------------------
% 0.61/0.79  % (10430)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (10430)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (10430)Memory used [KB]: 1025
% 0.61/0.79  % (10430)Time elapsed: 0.003 s
% 0.61/0.79  % (10430)Instructions burned: 3 (million)
% 0.61/0.79  % (10430)------------------------------
% 0.61/0.79  % (10430)------------------------------
% 0.61/0.79  % (10434)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 (2995ds/42Mi)
% 0.61/0.79  % (10434)Refutation not found, incomplete strategy% (10434)------------------------------
% 0.61/0.79  % (10434)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (10434)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (10434)Memory used [KB]: 1026
% 0.61/0.79  % (10434)Time elapsed: 0.003 s
% 0.61/0.79  % (10434)Instructions burned: 3 (million)
% 0.61/0.79  % (10434)------------------------------
% 0.61/0.79  % (10434)------------------------------
% 0.61/0.79  % (10432)First to succeed.
% 0.61/0.79  % (10435)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 (2995ds/243Mi)
% 0.61/0.80  % (10423)Also succeeded, but the first one will report.
% 0.61/0.80  % (10432)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (10432)------------------------------
% 0.61/0.80  % (10432)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (10432)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (10432)Memory used [KB]: 1060
% 0.61/0.80  % (10432)Time elapsed: 0.006 s
% 0.61/0.80  % (10432)Instructions burned: 9 (million)
% 0.61/0.80  % (10432)------------------------------
% 0.61/0.80  % (10432)------------------------------
% 0.61/0.80  % (10419)Success in time 0.462 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------