TSTP Solution File: GRP700+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP700+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 16:18:19 EDT 2022

% Result   : Theorem 1.68s 0.56s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  42 unt;   0 def)
%            Number of atoms       :   62 (  61 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  17   ~;   7   |;   3   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   68 (  63   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f437,plain,
    $false,
    inference(subsumption_resolution,[],[f434,f43]) ).

fof(f43,plain,
    ! [X3] : sF1(rd(X3,sK0)) = X3,
    inference(superposition,[],[f24,f33]) ).

fof(f33,plain,
    ! [X1] : sF1(X1) = mult(X1,sK0),
    introduced(function_definition,[]) ).

fof(f24,plain,
    ! [X0,X1] : mult(rd(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] : mult(rd(X1,X0),X0) = X1,
    inference(rectify,[],[f14]) ).

fof(f14,plain,
    ! [X1,X0] : mult(rd(X0,X1),X1) = X0,
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] : mult(rd(X1,X0),X0) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

fof(f434,plain,
    unit != sF1(rd(unit,sK0)),
    inference(trivial_inequality_removal,[],[f425]) ).

fof(f425,plain,
    ( unit != sF1(rd(unit,sK0))
    | unit != unit ),
    inference(superposition,[],[f35,f415]) ).

fof(f415,plain,
    unit = sF2(rd(unit,sK0)),
    inference(forward_demodulation,[],[f410,f54]) ).

fof(f54,plain,
    ! [X4] : unit = rd(X4,X4),
    inference(superposition,[],[f30,f31]) ).

fof(f31,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1] : mult(unit,X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).

fof(f30,plain,
    ! [X0,X1] : rd(mult(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] : rd(mult(X1,X0),X0) = X1,
    inference(rectify,[],[f13]) ).

fof(f13,plain,
    ! [X1,X0] : rd(mult(X0,X1),X1) = X0,
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] : rd(mult(X1,X0),X0) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).

fof(f410,plain,
    rd(sK0,sK0) = sF2(rd(unit,sK0)),
    inference(superposition,[],[f53,f398]) ).

fof(f398,plain,
    sF1(sF2(rd(unit,sK0))) = sK0,
    inference(forward_demodulation,[],[f388,f55]) ).

fof(f55,plain,
    ! [X5] : rd(sF2(X5),X5) = sK0,
    inference(superposition,[],[f30,f34]) ).

fof(f34,plain,
    ! [X1] : mult(sK0,X1) = sF2(X1),
    introduced(function_definition,[]) ).

fof(f388,plain,
    sF1(sF2(rd(unit,sK0))) = rd(sF2(sK0),sK0),
    inference(superposition,[],[f206,f36]) ).

fof(f36,plain,
    sK0 = sF1(unit),
    inference(superposition,[],[f33,f31]) ).

fof(f206,plain,
    ! [X2] : rd(sF2(sF1(X2)),sK0) = sF1(sF2(rd(X2,sK0))),
    inference(superposition,[],[f53,f178]) ).

fof(f178,plain,
    ! [X0] : sF1(sF1(sF2(rd(X0,sK0)))) = sF2(sF1(X0)),
    inference(superposition,[],[f176,f43]) ).

fof(f176,plain,
    ! [X0] : sF2(sF1(sF1(X0))) = sF1(sF1(sF2(X0))),
    inference(forward_demodulation,[],[f175,f26]) ).

fof(f26,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1] : mult(X1,unit) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

fof(f175,plain,
    ! [X0] : sF2(mult(sF1(sF1(X0)),unit)) = sF1(sF1(sF2(X0))),
    inference(forward_demodulation,[],[f166,f33]) ).

fof(f166,plain,
    ! [X0] : sF2(mult(sF1(sF1(X0)),unit)) = mult(sF1(sF2(X0)),sK0),
    inference(superposition,[],[f131,f38]) ).

fof(f38,plain,
    sF2(unit) = sK0,
    inference(superposition,[],[f34,f26]) ).

fof(f131,plain,
    ! [X16,X17] : mult(sF1(sF2(X17)),sF2(X16)) = sF2(mult(sF1(sF1(X17)),X16)),
    inference(forward_demodulation,[],[f130,f33]) ).

fof(f130,plain,
    ! [X16,X17] : sF2(mult(sF1(mult(X17,sK0)),X16)) = mult(sF1(sF2(X17)),sF2(X16)),
    inference(forward_demodulation,[],[f129,f33]) ).

fof(f129,plain,
    ! [X16,X17] : sF2(mult(mult(mult(X17,sK0),sK0),X16)) = mult(sF1(sF2(X17)),sF2(X16)),
    inference(forward_demodulation,[],[f128,f34]) ).

fof(f128,plain,
    ! [X16,X17] : sF2(mult(mult(mult(X17,sK0),sK0),X16)) = mult(sF1(mult(sK0,X17)),sF2(X16)),
    inference(forward_demodulation,[],[f127,f33]) ).

fof(f127,plain,
    ! [X16,X17] : sF2(mult(mult(mult(X17,sK0),sK0),X16)) = mult(mult(mult(sK0,X17),sK0),sF2(X16)),
    inference(forward_demodulation,[],[f124,f34]) ).

fof(f124,plain,
    ! [X16,X17] : mult(mult(mult(sK0,X17),sK0),sF2(X16)) = mult(sK0,mult(mult(mult(X17,sK0),sK0),X16)),
    inference(superposition,[],[f27,f34]) ).

fof(f27,plain,
    ! [X2,X0,X1] : mult(X1,mult(mult(mult(X2,X1),X1),X0)) = mult(mult(mult(X1,X2),X1),mult(X1,X0)),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] : mult(X1,mult(mult(mult(X2,X1),X1),X0)) = mult(mult(mult(X1,X2),X1),mult(X1,X0)),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X1,X0] : mult(mult(mult(X1,X0),X1),mult(X1,X2)) = mult(X1,mult(mult(mult(X0,X1),X1),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).

fof(f53,plain,
    ! [X1] : rd(sF1(X1),sK0) = X1,
    inference(superposition,[],[f30,f33]) ).

fof(f35,plain,
    ! [X1] :
      ( unit != sF2(X1)
      | unit != sF1(X1) ),
    inference(definition_folding,[],[f28,f34,f33]) ).

fof(f28,plain,
    ! [X1] :
      ( unit != mult(X1,sK0)
      | unit != mult(sK0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X1] :
      ( unit != mult(X1,sK0)
      | unit != mult(sK0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f21]) ).

fof(f21,plain,
    ( ? [X0] :
      ! [X1] :
        ( mult(X1,X0) != unit
        | unit != mult(X0,X1) )
   => ! [X1] :
        ( unit != mult(X1,sK0)
        | unit != mult(sK0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ? [X0] :
    ! [X1] :
      ( mult(X1,X0) != unit
      | unit != mult(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ~ ! [X0] :
      ? [X1] :
        ( mult(X1,X0) = unit
        & unit = mult(X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X3] :
      ? [X4] :
        ( unit = mult(X3,X4)
        & unit = mult(X4,X3) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X3] :
    ? [X4] :
      ( unit = mult(X3,X4)
      & unit = mult(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP700+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:43:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  % (3456)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.46  % (3464)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.47  % (3472)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.47  % (3464)Refutation not found, incomplete strategy% (3464)------------------------------
% 0.19/0.47  % (3464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (3464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (3464)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47  
% 0.19/0.47  % (3464)Memory used [KB]: 6012
% 0.19/0.47  % (3464)Time elapsed: 0.092 s
% 0.19/0.47  % (3464)Instructions burned: 2 (million)
% 0.19/0.47  % (3464)------------------------------
% 0.19/0.47  % (3464)------------------------------
% 0.19/0.48  % (3472)Refutation not found, incomplete strategy% (3472)------------------------------
% 0.19/0.48  % (3472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (3472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (3472)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48  
% 0.19/0.48  % (3472)Memory used [KB]: 5884
% 0.19/0.48  % (3472)Time elapsed: 0.107 s
% 0.19/0.48  % (3472)Instructions burned: 1 (million)
% 0.19/0.48  % (3472)------------------------------
% 0.19/0.48  % (3472)------------------------------
% 0.19/0.48  % (3474)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48  % (3474)Refutation not found, incomplete strategy% (3474)------------------------------
% 0.19/0.48  % (3474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (3474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (3474)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48  
% 0.19/0.48  % (3474)Memory used [KB]: 6012
% 0.19/0.48  % (3474)Time elapsed: 0.100 s
% 0.19/0.48  % (3474)Instructions burned: 2 (million)
% 0.19/0.48  % (3474)------------------------------
% 0.19/0.48  % (3474)------------------------------
% 0.19/0.49  % (3450)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (3465)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (3457)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50  % (3449)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (3449)Refutation not found, incomplete strategy% (3449)------------------------------
% 0.19/0.50  % (3449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (3449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (3449)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (3449)Memory used [KB]: 5884
% 0.19/0.50  % (3449)Time elapsed: 0.101 s
% 0.19/0.50  % (3449)Instructions burned: 2 (million)
% 0.19/0.50  % (3449)------------------------------
% 0.19/0.50  % (3449)------------------------------
% 0.19/0.50  TRYING [1]
% 0.19/0.50  % (3457)Refutation not found, incomplete strategy% (3457)------------------------------
% 0.19/0.50  % (3457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (3457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (3457)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (3457)Memory used [KB]: 5884
% 0.19/0.50  % (3457)Time elapsed: 0.109 s
% 0.19/0.50  % (3457)Instructions burned: 2 (million)
% 0.19/0.50  % (3457)------------------------------
% 0.19/0.50  % (3457)------------------------------
% 0.19/0.50  TRYING [1]
% 0.19/0.50  % (3465)Instruction limit reached!
% 0.19/0.50  % (3465)------------------------------
% 0.19/0.50  % (3465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (3465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (3465)Termination reason: Unknown
% 0.19/0.50  % (3465)Termination phase: Finite model building constraint generation
% 0.19/0.50  
% 0.19/0.50  % (3465)Memory used [KB]: 5884
% 0.19/0.50  % (3465)Time elapsed: 0.004 s
% 0.19/0.50  % (3465)Instructions burned: 3 (million)
% 0.19/0.50  % (3465)------------------------------
% 0.19/0.50  % (3465)------------------------------
% 0.19/0.50  % (3455)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50  % (3470)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50  % (3455)Refutation not found, incomplete strategy% (3455)------------------------------
% 0.19/0.50  % (3455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (3455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (3455)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (3455)Memory used [KB]: 5884
% 0.19/0.50  % (3455)Time elapsed: 0.102 s
% 0.19/0.50  % (3455)Instructions burned: 2 (million)
% 0.19/0.50  % (3455)------------------------------
% 0.19/0.50  % (3455)------------------------------
% 0.19/0.51  % (3452)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (3453)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51  % (3458)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51  % (3448)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (3450)Refutation not found, incomplete strategy% (3450)------------------------------
% 0.19/0.51  % (3450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (3450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (3450)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (3450)Memory used [KB]: 5884
% 0.19/0.51  % (3450)Time elapsed: 0.116 s
% 0.19/0.51  % (3450)Instructions burned: 2 (million)
% 0.19/0.51  % (3450)------------------------------
% 0.19/0.51  % (3450)------------------------------
% 0.19/0.51  % (3466)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (3466)Instruction limit reached!
% 0.19/0.51  % (3466)------------------------------
% 0.19/0.51  % (3466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (3458)Refutation not found, incomplete strategy% (3458)------------------------------
% 0.19/0.51  % (3458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (3458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (3458)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (3458)Memory used [KB]: 5884
% 0.19/0.51  % (3458)Time elapsed: 0.122 s
% 0.19/0.51  % (3458)Instructions burned: 2 (million)
% 0.19/0.51  % (3458)------------------------------
% 0.19/0.51  % (3458)------------------------------
% 0.19/0.51  % (3466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (3466)Termination reason: Unknown
% 0.19/0.51  % (3466)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (3466)Memory used [KB]: 5884
% 0.19/0.51  % (3466)Time elapsed: 0.003 s
% 0.19/0.51  % (3466)Instructions burned: 2 (million)
% 0.19/0.51  % (3466)------------------------------
% 0.19/0.51  % (3466)------------------------------
% 0.19/0.51  % (3475)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (3471)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52  % (3451)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (3451)Refutation not found, incomplete strategy% (3451)------------------------------
% 0.19/0.52  % (3451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (3451)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (3451)Memory used [KB]: 5884
% 0.19/0.52  % (3451)Time elapsed: 0.127 s
% 0.19/0.52  % (3451)Instructions burned: 3 (million)
% 0.19/0.52  % (3451)------------------------------
% 0.19/0.52  % (3451)------------------------------
% 0.19/0.52  % (3462)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (3462)Instruction limit reached!
% 0.19/0.52  % (3462)------------------------------
% 0.19/0.52  % (3462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (3462)Termination reason: Unknown
% 0.19/0.52  % (3462)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (3462)Memory used [KB]: 5884
% 0.19/0.52  % (3462)Time elapsed: 0.098 s
% 0.19/0.52  % (3462)Instructions burned: 4 (million)
% 0.19/0.52  % (3462)------------------------------
% 0.19/0.52  % (3462)------------------------------
% 0.19/0.52  % (3468)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52  % (3468)Refutation not found, incomplete strategy% (3468)------------------------------
% 0.19/0.52  % (3468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (3468)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (3468)Memory used [KB]: 5884
% 0.19/0.52  % (3468)Time elapsed: 0.130 s
% 0.19/0.52  % (3468)Instructions burned: 3 (million)
% 0.19/0.52  % (3468)------------------------------
% 0.19/0.52  % (3468)------------------------------
% 0.19/0.52  % (3467)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.52  % (3476)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (3476)Refutation not found, incomplete strategy% (3476)------------------------------
% 0.19/0.52  % (3476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (3476)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (3476)Memory used [KB]: 5884
% 0.19/0.52  % (3476)Time elapsed: 0.128 s
% 0.19/0.52  % (3476)------------------------------
% 0.19/0.52  % (3476)------------------------------
% 0.19/0.52  % (3467)Refutation not found, incomplete strategy% (3467)------------------------------
% 0.19/0.52  % (3467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (3467)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (3467)Memory used [KB]: 5884
% 0.19/0.52  % (3467)Time elapsed: 0.128 s
% 0.19/0.52  % (3467)------------------------------
% 0.19/0.52  % (3467)------------------------------
% 0.19/0.52  % (3477)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53  % (3454)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (3456)Instruction limit reached!
% 0.19/0.53  % (3456)------------------------------
% 0.19/0.53  % (3456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3456)Termination reason: Unknown
% 0.19/0.53  % (3456)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (3456)Memory used [KB]: 6524
% 0.19/0.53  % (3456)Time elapsed: 0.143 s
% 0.19/0.53  % (3456)Instructions burned: 49 (million)
% 0.19/0.53  % (3456)------------------------------
% 0.19/0.53  % (3456)------------------------------
% 0.19/0.53  % (3469)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (3452)Instruction limit reached!
% 0.19/0.53  % (3452)------------------------------
% 0.19/0.53  % (3452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3452)Termination reason: Unknown
% 0.19/0.53  % (3452)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (3452)Memory used [KB]: 6140
% 0.19/0.53  % (3452)Time elapsed: 0.125 s
% 0.19/0.53  % (3452)Instructions burned: 14 (million)
% 0.19/0.53  % (3452)------------------------------
% 0.19/0.53  % (3452)------------------------------
% 0.19/0.53  % (3459)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (3460)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53  % (3460)Refutation not found, incomplete strategy% (3460)------------------------------
% 0.19/0.53  % (3460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3460)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (3460)Memory used [KB]: 1407
% 0.19/0.53  % (3460)Time elapsed: 0.143 s
% 0.19/0.53  % (3460)Instructions burned: 2 (million)
% 0.19/0.53  % (3460)------------------------------
% 0.19/0.53  % (3460)------------------------------
% 0.19/0.54  % (3459)Instruction limit reached!
% 0.19/0.54  % (3459)------------------------------
% 0.19/0.54  % (3459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (3459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (3459)Termination reason: Unknown
% 0.19/0.54  % (3459)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (3459)Memory used [KB]: 6012
% 0.19/0.54  % (3459)Time elapsed: 0.144 s
% 0.19/0.54  % (3459)Instructions burned: 7 (million)
% 0.19/0.54  % (3459)------------------------------
% 0.19/0.54  % (3459)------------------------------
% 0.19/0.54  % (3453)Instruction limit reached!
% 0.19/0.54  % (3453)------------------------------
% 0.19/0.54  % (3453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (3453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (3453)Termination reason: Unknown
% 0.19/0.54  % (3453)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (3453)Memory used [KB]: 1663
% 0.19/0.54  % (3453)Time elapsed: 0.142 s
% 0.19/0.54  % (3453)Instructions burned: 16 (million)
% 0.19/0.54  % (3453)------------------------------
% 0.19/0.54  % (3453)------------------------------
% 0.19/0.54  % (3475)Instruction limit reached!
% 0.19/0.54  % (3475)------------------------------
% 0.19/0.54  % (3475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (3475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (3475)Termination reason: Unknown
% 0.19/0.54  % (3475)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (3475)Memory used [KB]: 6396
% 0.19/0.54  % (3475)Time elapsed: 0.146 s
% 0.19/0.54  % (3475)Instructions burned: 26 (million)
% 0.19/0.54  % (3475)------------------------------
% 0.19/0.54  % (3475)------------------------------
% 0.19/0.54  % (3463)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (3448)First to succeed.
% 0.19/0.54  % (3473)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54  % (3463)Instruction limit reached!
% 0.19/0.54  % (3463)------------------------------
% 0.19/0.54  % (3463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (3463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (3463)Termination reason: Unknown
% 0.19/0.54  % (3463)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (3463)Memory used [KB]: 6012
% 0.19/0.54  % (3463)Time elapsed: 0.146 s
% 0.19/0.54  % (3463)Instructions burned: 7 (million)
% 0.19/0.54  % (3463)------------------------------
% 0.19/0.54  % (3463)------------------------------
% 0.19/0.54  % (3461)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (3477)Instruction limit reached!
% 0.19/0.55  % (3477)------------------------------
% 0.19/0.55  % (3477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (3477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (3477)Termination reason: Unknown
% 0.19/0.55  % (3477)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (3477)Memory used [KB]: 6396
% 0.19/0.55  % (3477)Time elapsed: 0.141 s
% 0.19/0.55  % (3477)Instructions burned: 25 (million)
% 0.19/0.55  % (3477)------------------------------
% 0.19/0.55  % (3477)------------------------------
% 1.68/0.56  % (3448)Refutation found. Thanks to Tanya!
% 1.68/0.56  % SZS status Theorem for theBenchmark
% 1.68/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.56  % (3448)------------------------------
% 1.68/0.56  % (3448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.56  % (3448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.56  % (3448)Termination reason: Refutation
% 1.68/0.56  
% 1.68/0.56  % (3448)Memory used [KB]: 6268
% 1.68/0.56  % (3448)Time elapsed: 0.148 s
% 1.68/0.56  % (3448)Instructions burned: 17 (million)
% 1.68/0.56  % (3448)------------------------------
% 1.68/0.56  % (3448)------------------------------
% 1.68/0.56  % (3447)Success in time 0.204 s
%------------------------------------------------------------------------------