TSTP Solution File: ALG398-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG398-1 : TPTP v8.2.0. 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 : n009.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 : Mon May 20 18:21:26 EDT 2024

% Result   : Unsatisfiable 0.64s 0.79s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   33 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  21   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1427,plain,
    $false,
    inference(subsumption_resolution,[],[f1426,f900]) ).

fof(f900,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).

fof(f1426,plain,
    ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    inference(subsumption_resolution,[],[f1425,f878]) ).

fof(f878,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).

fof(f1425,plain,
    ( ~ class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
    | ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
    inference(subsumption_resolution,[],[f1422,f810]) ).

fof(f810,axiom,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_a00_0) ).

fof(f1422,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | ~ class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
    | ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
    inference(trivial_inequality_removal,[],[f1413]) ).

fof(f1413,plain,
    ( c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex)
    | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | ~ class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
    | ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f1021,f571]) ).

fof(f571,axiom,
    ! [X2,X3,X0] :
      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X3,X0) = X2
      | c_HOL_Ozero__class_Ozero(X0) = X3
      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
      | ~ class_Ring__and__Field_Ofield(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__divide__eq_0) ).

fof(f1021,plain,
    c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(forward_demodulation,[],[f1020,f785]) ).

fof(f785,axiom,
    ! [X9,X5] : c_HOL_Oinverse__class_Odivide(X5,X9,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Oinverse(X9,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__divide__def_0) ).

fof(f1020,plain,
    c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(subsumption_resolution,[],[f1000,f879]) ).

fof(f879,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

fof(f1000,plain,
    ( c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f972,f830]) ).

fof(f830,axiom,
    ! [X0,X9,X5] :
      ( c_HOL_Otimes__class_Otimes(X5,X9,X0) = c_HOL_Otimes__class_Otimes(X9,X5,X0)
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).

fof(f972,plain,
    c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(subsumption_resolution,[],[f960,f880]) ).

fof(f880,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

fof(f960,plain,
    ( c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f835,f832]) ).

fof(f832,axiom,
    ! [X0,X1,X5,X13] :
      ( c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X13,X0),X5,X0) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X13,X5,X0),X0)
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__smult_0) ).

fof(f835,axiom,
    c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ALG398-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.14  % 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
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 23:35:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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/benchmark/theBenchmark.p
% 0.59/0.77  % (3870)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 theBenchmark for (2995ds/34Mi)
% 0.59/0.77  % (3871)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 theBenchmark for (2995ds/51Mi)
% 0.59/0.77  % (3872)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.59/0.77  % (3874)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 theBenchmark for (2995ds/34Mi)
% 0.59/0.77  % (3875)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.59/0.77  % (3877)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.59/0.78  % (3873)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.59/0.78  % (3876)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 theBenchmark for (2995ds/83Mi)
% 0.59/0.78  % (3877)Refutation not found, incomplete strategy% (3877)------------------------------
% 0.59/0.78  % (3877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (3877)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (3877)Memory used [KB]: 1751
% 0.59/0.78  % (3877)Time elapsed: 0.008 s
% 0.59/0.78  % (3877)Instructions burned: 11 (million)
% 0.59/0.78  % (3877)------------------------------
% 0.59/0.78  % (3877)------------------------------
% 0.59/0.78  % (3870)Instruction limit reached!
% 0.59/0.78  % (3870)------------------------------
% 0.59/0.78  % (3870)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (3870)Termination reason: Unknown
% 0.59/0.78  % (3870)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (3870)Memory used [KB]: 1999
% 0.59/0.78  % (3870)Time elapsed: 0.013 s
% 0.59/0.78  % (3870)Instructions burned: 34 (million)
% 0.59/0.78  % (3870)------------------------------
% 0.59/0.78  % (3870)------------------------------
% 0.59/0.78  % (3878)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 theBenchmark for (2995ds/55Mi)
% 0.59/0.78  % (3873)Refutation not found, incomplete strategy% (3873)------------------------------
% 0.59/0.78  % (3873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (3873)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (3873)Memory used [KB]: 1756
% 0.59/0.78  % (3873)Time elapsed: 0.009 s
% 0.59/0.78  % (3873)Instructions burned: 10 (million)
% 0.64/0.79  % (3873)------------------------------
% 0.64/0.79  % (3873)------------------------------
% 0.64/0.79  % (3879)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 theBenchmark for (2995ds/50Mi)
% 0.64/0.79  % (3874)Instruction limit reached!
% 0.64/0.79  % (3874)------------------------------
% 0.64/0.79  % (3874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79  % (3874)Termination reason: Unknown
% 0.64/0.79  % (3874)Termination phase: Saturation
% 0.64/0.79  
% 0.64/0.79  % (3874)Memory used [KB]: 2342
% 0.64/0.79  % (3874)Time elapsed: 0.019 s
% 0.64/0.79  % (3874)Instructions burned: 34 (million)
% 0.64/0.79  % (3874)------------------------------
% 0.64/0.79  % (3874)------------------------------
% 0.64/0.79  % (3875)First to succeed.
% 0.64/0.79  % (3875)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3860"
% 0.64/0.79  % (3880)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.64/0.79  % (3881)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 theBenchmark for (2995ds/52Mi)
% 0.64/0.79  % (3875)Refutation found. Thanks to Tanya!
% 0.64/0.79  % SZS status Unsatisfiable for theBenchmark
% 0.64/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.79  % (3875)------------------------------
% 0.64/0.79  % (3875)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79  % (3875)Termination reason: Refutation
% 0.64/0.79  
% 0.64/0.79  % (3875)Memory used [KB]: 1997
% 0.64/0.79  % (3875)Time elapsed: 0.021 s
% 0.64/0.79  % (3875)Instructions burned: 36 (million)
% 0.64/0.79  % (3860)Success in time 0.431 s
% 0.64/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------