TSTP Solution File: SWV629-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n007.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 Aug 31 19:01:15 EDT 2022

% Result   : Unsatisfiable 0.18s 0.56s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   13 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :    7 (   7   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_35,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_36,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_37,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f1277,plain,
    $false,
    inference(subsumption_resolution,[],[f1276,f565]) ).

fof(f565,plain,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
    inference(literal_reordering,[],[f352]) ).

fof(f352,axiom,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1276,plain,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
    inference(superposition,[],[f479,f1266]) ).

fof(f1266,plain,
    ! [X0] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X0,
    inference(resolution,[],[f680,f493]) ).

fof(f493,plain,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    inference(literal_reordering,[],[f383]) ).

fof(f383,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

fof(f680,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__mult(X2)
      | c_Power_Opower__class_Opower(X3,c_HOL_Oone__class_Oone(tc_nat),X2) = X3 ),
    inference(literal_reordering,[],[f311]) ).

fof(f311,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__mult(X2)
      | c_Power_Opower__class_Opower(X3,c_HOL_Oone__class_Oone(tc_nat),X2) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one__right_0) ).

fof(f479,plain,
    ! [X5] : c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X5),X5,tc_Complex_Ocomplex),
    inference(literal_reordering,[],[f334]) ).

fof(f334,axiom,
    ! [X5] : c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X5),X5,tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__unity_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 19:33:16 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.50  % (18424)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (18432)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51  % (18441)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.51  % (18429)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (18433)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.52  % (18421)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (18420)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.53  % (18425)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  % (18428)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (18419)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (18418)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.54  % (18432)First to succeed.
% 0.18/0.54  % (18440)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.54  % (18425)Instruction limit reached!
% 0.18/0.54  % (18425)------------------------------
% 0.18/0.54  % (18425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (18425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (18425)Termination reason: Unknown
% 0.18/0.54  % (18425)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (18425)Memory used [KB]: 5756
% 0.18/0.54  % (18425)Time elapsed: 0.088 s
% 0.18/0.54  % (18425)Instructions burned: 7 (million)
% 0.18/0.54  % (18425)------------------------------
% 0.18/0.54  % (18425)------------------------------
% 0.18/0.54  % (18423)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.55  % (18431)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.55  % (18444)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.55  % (18422)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.56  % (18432)Refutation found. Thanks to Tanya!
% 0.18/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.56  % (18432)------------------------------
% 0.18/0.56  % (18432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (18432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (18432)Termination reason: Refutation
% 0.18/0.56  
% 0.18/0.56  % (18432)Memory used [KB]: 6652
% 0.18/0.56  % (18432)Time elapsed: 0.022 s
% 0.18/0.56  % (18432)Instructions burned: 23 (million)
% 0.18/0.56  % (18432)------------------------------
% 0.18/0.56  % (18432)------------------------------
% 0.18/0.56  % (18417)Success in time 0.221 s
%------------------------------------------------------------------------------