TSTP Solution File: ALG376-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG376-1 : 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 : 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 : Mon May 20 18:21:20 EDT 2024

% Result   : Unsatisfiable 0.92s 1.01s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  11 con; 0-3 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1385,plain,
    $false,
    inference(unit_resulting_resolution,[],[f822,f1299,f1066]) ).

fof(f1066,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)
    | ~ c_lessequals(v_N1____,c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f1299,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal),
    inference(unit_resulting_resolution,[],[f1243,f1273]) ).

fof(f1273,plain,
    ! [X38] :
      ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X38,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X38,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
    inference(definition_unfolding,[],[f1065,f773]) ).

fof(f773,axiom,
    ! [X24] : c_Int_OBit0(X24) = c_HOL_Oplus__class_Oplus(X24,X24,tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Bit0__def_0) ).

fof(f1065,axiom,
    ! [X38] :
      ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X38,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X38,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f1243,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(definition_unfolding,[],[f1067,f773]) ).

fof(f1067,axiom,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f822,axiom,
    ! [X6,X9] : c_lessequals(X6,c_HOL_Oplus__class_Oplus(X6,X9,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add1_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ALG376-1 : 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
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 23:13:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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
% 0.79/0.98  % (3915)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 (2993ds/51Mi)
% 0.79/0.98  % (3917)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2993ds/33Mi)
% 0.79/0.98  % (3916)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2993ds/78Mi)
% 0.79/0.98  % (3914)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 (2993ds/34Mi)
% 0.79/0.98  % (3918)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 (2993ds/34Mi)
% 0.79/0.98  % (3919)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2993ds/45Mi)
% 0.79/0.98  % (3920)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 (2993ds/83Mi)
% 0.79/0.98  % (3921)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 (2993ds/56Mi)
% 0.79/0.99  % (3914)Instruction limit reached!
% 0.79/0.99  % (3914)------------------------------
% 0.79/0.99  % (3914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.99  % (3914)Termination reason: Unknown
% 0.79/0.99  % (3914)Termination phase: Saturation
% 0.79/0.99  
% 0.79/0.99  % (3914)Memory used [KB]: 1959
% 0.79/0.99  % (3914)Time elapsed: 0.016 s
% 0.79/0.99  % (3914)Instructions burned: 34 (million)
% 0.79/0.99  % (3914)------------------------------
% 0.79/0.99  % (3914)------------------------------
% 0.79/0.99  % (3918)Instruction limit reached!
% 0.79/0.99  % (3918)------------------------------
% 0.79/0.99  % (3918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.99  % (3918)Termination reason: Unknown
% 0.79/0.99  % (3918)Termination phase: Property scanning
% 0.79/0.99  
% 0.79/0.99  % (3918)Memory used [KB]: 1993
% 0.79/0.99  % (3918)Time elapsed: 0.016 s
% 0.79/0.99  % (3918)Instructions burned: 35 (million)
% 0.79/0.99  % (3918)------------------------------
% 0.79/0.99  % (3918)------------------------------
% 0.79/1.00  % (3917)Instruction limit reached!
% 0.79/1.00  % (3917)------------------------------
% 0.79/1.00  % (3917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/1.00  % (3917)Termination reason: Unknown
% 0.79/1.00  % (3917)Termination phase: Saturation
% 0.79/1.00  
% 0.79/1.00  % (3917)Memory used [KB]: 2267
% 0.79/1.00  % (3917)Time elapsed: 0.019 s
% 0.79/1.00  % (3917)Instructions burned: 33 (million)
% 0.79/1.00  % (3917)------------------------------
% 0.79/1.00  % (3917)------------------------------
% 0.79/1.00  % (3922)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 (2993ds/55Mi)
% 0.79/1.00  % (3923)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 (2993ds/50Mi)
% 0.79/1.00  % (3919)Instruction limit reached!
% 0.79/1.00  % (3919)------------------------------
% 0.79/1.00  % (3919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/1.00  % (3919)Termination reason: Unknown
% 0.79/1.00  % (3919)Termination phase: Saturation
% 0.79/1.00  
% 0.79/1.00  % (3919)Memory used [KB]: 2371
% 0.79/1.00  % (3919)Time elapsed: 0.022 s
% 0.79/1.00  % (3919)Instructions burned: 46 (million)
% 0.79/1.00  % (3919)------------------------------
% 0.79/1.00  % (3919)------------------------------
% 0.79/1.00  % (3924)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 (2993ds/208Mi)
% 0.79/1.00  % (3915)Instruction limit reached!
% 0.79/1.00  % (3915)------------------------------
% 0.79/1.00  % (3915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/1.00  % (3915)Termination reason: Unknown
% 0.79/1.00  % (3915)Termination phase: Saturation
% 0.79/1.00  
% 0.79/1.00  % (3915)Memory used [KB]: 2054
% 0.79/1.00  % (3915)Time elapsed: 0.024 s
% 0.79/1.00  % (3915)Instructions burned: 51 (million)
% 0.79/1.00  % (3915)------------------------------
% 0.79/1.00  % (3915)------------------------------
% 0.92/1.00  % (3925)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 (2993ds/52Mi)
% 0.92/1.00  % (3921)Instruction limit reached!
% 0.92/1.00  % (3921)------------------------------
% 0.92/1.00  % (3921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/1.00  % (3921)Termination reason: Unknown
% 0.92/1.00  % (3921)Termination phase: Saturation
% 0.92/1.00  
% 0.92/1.00  % (3921)Memory used [KB]: 2392
% 0.92/1.00  % (3921)Time elapsed: 0.026 s
% 0.92/1.00  % (3921)Instructions burned: 56 (million)
% 0.92/1.00  % (3921)------------------------------
% 0.92/1.00  % (3921)------------------------------
% 0.92/1.00  % (3926)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 theBenchmark for (2993ds/518Mi)
% 0.92/1.01  % (3927)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 theBenchmark for (2993ds/42Mi)
% 0.92/1.01  % (3920)First to succeed.
% 0.92/1.01  % (3920)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3913"
% 0.92/1.01  % (3920)Refutation found. Thanks to Tanya!
% 0.92/1.01  % SZS status Unsatisfiable for theBenchmark
% 0.92/1.01  % SZS output start Proof for theBenchmark
% See solution above
% 0.92/1.01  % (3920)------------------------------
% 0.92/1.01  % (3920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/1.01  % (3920)Termination reason: Refutation
% 0.92/1.01  
% 0.92/1.01  % (3920)Memory used [KB]: 2380
% 0.92/1.01  % (3920)Time elapsed: 0.035 s
% 0.92/1.01  % (3920)Instructions burned: 73 (million)
% 0.92/1.01  % (3913)Success in time 0.629 s
% 0.92/1.01  % Vampire---4.8 exiting
%------------------------------------------------------------------------------