TSTP Solution File: SWW215+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW215+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : 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 11:16:29 EDT 2024

% Result   : Theorem 0.68s 0.85s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   51 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   51 (  23   ~;  18   |;   4   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2587,plain,
    $false,
    inference(subsumption_resolution,[],[f2583,f1994]) ).

fof(f1994,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/tmp/tmp.1oR4tLyZtL/Vampire---4.8_32050',fact_H_I2_J) ).

fof(f2583,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(resolution,[],[f2428,f1811]) ).

fof(f1811,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
    file('/export/starexec/sandbox2/tmp/tmp.1oR4tLyZtL/Vampire---4.8_32050',fact_H_I5_J) ).

fof(f2428,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X0) ),
    inference(resolution,[],[f2384,f1838]) ).

fof(f1838,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f1728]) ).

fof(f1728,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( X0 != X1
          & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
      & ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(flattening,[],[f1727]) ).

fof(f1727,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( X0 != X1
          & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
      & ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(nnf_transformation,[],[f1295]) ).

fof(f1295,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
    <=> ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(rectify,[],[f61]) ).

fof(f61,axiom,
    ! [X20,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16,X20)
    <=> ( X16 = X20
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X16,X20) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1oR4tLyZtL/Vampire---4.8_32050',fact_less__eq__real__def) ).

fof(f2384,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(resolution,[],[f2372,f1838]) ).

fof(f2372,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X0) ),
    inference(resolution,[],[f1810,f1841]) ).

fof(f1841,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(cnf_transformation,[],[f1534]) ).

fof(f1534,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(flattening,[],[f1533]) ).

fof(f1533,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(ennf_transformation,[],[f1297]) ).

fof(f1297,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X13,X14,X15] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X13)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X13) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1oR4tLyZtL/Vampire---4.8_32050',fact_real__le__trans) ).

fof(f1810,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(cnf_transformation,[],[f1280]) ).

fof(f1280,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(flattening,[],[f1279]) ).

fof(f1279,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(negated_conjecture,[],[f1278]) ).

fof(f1278,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/tmp/tmp.1oR4tLyZtL/Vampire---4.8_32050',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW215+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14  % 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 : n027.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 19:40:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.1oR4tLyZtL/Vampire---4.8_32050
% 0.65/0.83  % (32224)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)
% 0.65/0.83  % (32227)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)
% 0.65/0.83  % (32226)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.83  % (32228)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)
% 0.65/0.83  % (32225)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)
% 0.65/0.83  % (32231)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)
% 0.65/0.83  % (32230)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)
% 0.65/0.83  % (32229)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)
% 0.65/0.84  % (32224)Instruction limit reached!
% 0.65/0.84  % (32224)------------------------------
% 0.65/0.84  % (32224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (32224)Termination reason: Unknown
% 0.65/0.84  % (32224)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (32224)Memory used [KB]: 2436
% 0.65/0.84  % (32224)Time elapsed: 0.012 s
% 0.65/0.84  % (32224)Instructions burned: 35 (million)
% 0.65/0.84  % (32224)------------------------------
% 0.65/0.84  % (32224)------------------------------
% 0.65/0.84  % (32232)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)
% 0.65/0.85  % (32228)Instruction limit reached!
% 0.65/0.85  % (32228)------------------------------
% 0.65/0.85  % (32228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85  % (32228)Termination reason: Unknown
% 0.65/0.85  % (32228)Termination phase: Preprocessing 3
% 0.65/0.85  
% 0.65/0.85  % (32228)Memory used [KB]: 3216
% 0.65/0.85  % (32228)Time elapsed: 0.018 s
% 0.65/0.85  % (32228)Instructions burned: 35 (million)
% 0.65/0.85  % (32228)------------------------------
% 0.65/0.85  % (32228)------------------------------
% 0.68/0.85  % (32227)Instruction limit reached!
% 0.68/0.85  % (32227)------------------------------
% 0.68/0.85  % (32227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (32227)Termination reason: Unknown
% 0.68/0.85  % (32227)Termination phase: Saturation
% 0.68/0.85  
% 0.68/0.85  % (32227)Memory used [KB]: 2376
% 0.68/0.85  % (32227)Time elapsed: 0.019 s
% 0.68/0.85  % (32227)Instructions burned: 34 (million)
% 0.68/0.85  % (32227)------------------------------
% 0.68/0.85  % (32227)------------------------------
% 0.68/0.85  % (32231)First to succeed.
% 0.68/0.85  % (32234)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)
% 0.68/0.85  % (32231)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32221"
% 0.68/0.85  % (32231)Refutation found. Thanks to Tanya!
% 0.68/0.85  % SZS status Theorem for Vampire---4
% 0.68/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.85  % (32231)------------------------------
% 0.68/0.85  % (32231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (32231)Termination reason: Refutation
% 0.68/0.85  
% 0.68/0.85  % (32231)Memory used [KB]: 2411
% 0.68/0.85  % (32231)Time elapsed: 0.022 s
% 0.68/0.85  % (32231)Instructions burned: 45 (million)
% 0.68/0.85  % (32221)Success in time 0.486 s
% 0.68/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------