TSTP Solution File: ALG373-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n016.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 04:14:16 EDT 2024

% Result   : Unsatisfiable 0.75s 0.86s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   13 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f991,plain,
    $false,
    inference(resolution,[],[f989,f351]) ).

fof(f351,axiom,
    ! [X33] : ~ c_HOL_Oord__class_Oless(v_x(X33),X33,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.oTGFGUnajv/Vampire---4.8_16605',cls_conjecture_2) ).

fof(f989,plain,
    ! [X0] : c_HOL_Oord__class_Oless(v_x(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(equality_resolution,[],[f974]) ).

fof(f974,plain,
    ! [X0,X1] :
      ( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(subsumption_resolution,[],[f971,f349]) ).

fof(f349,axiom,
    ! [X33] : c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(X33),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.oTGFGUnajv/Vampire---4.8_16605',cls_conjecture_0) ).

fof(f971,plain,
    ! [X0,X1] :
      ( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(superposition,[],[f348,f350]) ).

fof(f350,axiom,
    ! [X33] : c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_xa(X33),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_x(X33),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.oTGFGUnajv/Vampire---4.8_16605',cls_conjecture_1) ).

fof(f348,axiom,
    ! [X21,X1] :
      ( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) != c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X21,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X21,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/tmp.oTGFGUnajv/Vampire---4.8_16605',cls_CHAINED_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.15  % 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
% 0.16/0.36  % Computer : n016.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:02:23 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36  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.oTGFGUnajv/Vampire---4.8_16605
% 0.61/0.81  % (16858)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)
% 0.61/0.81  % (16852)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)
% 0.61/0.81  % (16854)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (16853)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)
% 0.61/0.81  % (16856)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)
% 0.61/0.81  % (16857)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)
% 0.61/0.81  % (16859)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)
% 0.61/0.82  % (16855)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)
% 0.61/0.83  % (16855)Refutation not found, incomplete strategy% (16855)------------------------------
% 0.61/0.83  % (16855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (16855)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (16855)Memory used [KB]: 1349
% 0.61/0.83  % (16855)Time elapsed: 0.030 s
% 0.61/0.83  % (16855)Instructions burned: 7 (million)
% 0.61/0.83  % (16855)------------------------------
% 0.61/0.83  % (16855)------------------------------
% 0.61/0.83  % (16858)Instruction limit reached!
% 0.61/0.83  % (16858)------------------------------
% 0.61/0.83  % (16858)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (16858)Termination reason: Unknown
% 0.61/0.83  % (16858)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (16858)Memory used [KB]: 1977
% 0.61/0.83  % (16858)Time elapsed: 0.027 s
% 0.61/0.83  % (16858)Instructions burned: 85 (million)
% 0.61/0.83  % (16858)------------------------------
% 0.61/0.83  % (16858)------------------------------
% 0.61/0.83  % (16868)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)
% 0.61/0.84  % (16856)Instruction limit reached!
% 0.61/0.84  % (16856)------------------------------
% 0.61/0.84  % (16856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (16856)Termination reason: Unknown
% 0.61/0.84  % (16856)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (16856)Memory used [KB]: 1705
% 0.61/0.84  % (16856)Time elapsed: 0.028 s
% 0.61/0.84  % (16856)Instructions burned: 35 (million)
% 0.61/0.84  % (16856)------------------------------
% 0.61/0.84  % (16856)------------------------------
% 0.61/0.84  % (16870)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)
% 0.61/0.84  % (16852)Instruction limit reached!
% 0.61/0.84  % (16852)------------------------------
% 0.61/0.84  % (16852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (16852)Termination reason: Unknown
% 0.61/0.84  % (16852)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (16852)Memory used [KB]: 1536
% 0.61/0.84  % (16852)Time elapsed: 0.030 s
% 0.61/0.84  % (16852)Instructions burned: 34 (million)
% 0.61/0.84  % (16852)------------------------------
% 0.61/0.84  % (16852)------------------------------
% 0.75/0.84  % (16871)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)
% 0.75/0.84  % (16872)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)
% 0.75/0.85  % (16857)Instruction limit reached!
% 0.75/0.85  % (16857)------------------------------
% 0.75/0.85  % (16857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85  % (16857)Termination reason: Unknown
% 0.75/0.85  % (16857)Termination phase: Saturation
% 0.75/0.85  
% 0.75/0.85  % (16857)Memory used [KB]: 1593
% 0.75/0.85  % (16857)Time elapsed: 0.038 s
% 0.75/0.85  % (16857)Instructions burned: 45 (million)
% 0.75/0.85  % (16857)------------------------------
% 0.75/0.85  % (16857)------------------------------
% 0.75/0.85  % (16859)Instruction limit reached!
% 0.75/0.85  % (16859)------------------------------
% 0.75/0.85  % (16859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85  % (16859)Termination reason: Unknown
% 0.75/0.85  % (16859)Termination phase: Saturation
% 0.75/0.85  
% 0.75/0.85  % (16859)Memory used [KB]: 1760
% 0.75/0.85  % (16859)Time elapsed: 0.041 s
% 0.75/0.85  % (16859)Instructions burned: 56 (million)
% 0.75/0.85  % (16859)------------------------------
% 0.75/0.85  % (16859)------------------------------
% 0.75/0.85  % (16873)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)
% 0.75/0.86  % (16853)Instruction limit reached!
% 0.75/0.86  % (16853)------------------------------
% 0.75/0.86  % (16853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (16853)Termination reason: Unknown
% 0.75/0.86  % (16853)Termination phase: Saturation
% 0.75/0.86  
% 0.75/0.86  % (16853)Memory used [KB]: 1739
% 0.75/0.86  % (16853)Time elapsed: 0.049 s
% 0.75/0.86  % (16853)Instructions burned: 51 (million)
% 0.75/0.86  % (16853)------------------------------
% 0.75/0.86  % (16853)------------------------------
% 0.75/0.86  % (16876)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)
% 0.75/0.86  % (16873)Also succeeded, but the first one will report.
% 0.75/0.86  % (16854)First to succeed.
% 0.75/0.86  % (16854)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16848"
% 0.75/0.86  % (16854)Refutation found. Thanks to Tanya!
% 0.75/0.86  % SZS status Unsatisfiable for Vampire---4
% 0.75/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.75/0.86  % (16854)------------------------------
% 0.75/0.86  % (16854)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (16854)Termination reason: Refutation
% 0.75/0.86  
% 0.75/0.86  % (16854)Memory used [KB]: 1580
% 0.75/0.86  % (16854)Time elapsed: 0.051 s
% 0.75/0.86  % (16854)Instructions burned: 49 (million)
% 0.75/0.86  % (16848)Success in time 0.493 s
% 0.75/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------