TSTP Solution File: KLE144+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE144+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n026.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 : Thu Aug 31 05:37:00 EDT 2023

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   91 (  68 unt;   0 def)
%            Number of atoms       :  118 (  82 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   60 (  33   ~;  20   |;   4   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  113 (; 111   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4012,plain,
    $false,
    inference(trivial_inequality_removal,[],[f4011]) ).

fof(f4011,plain,
    sF1 != sF1,
    inference(forward_demodulation,[],[f4010,f35]) ).

fof(f35,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',idempotence) ).

fof(f4010,plain,
    sF1 != addition(sF1,sF1),
    inference(forward_literal_rewriting,[],[f4009,f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | addition(X0,X1) != X1 )
      & ( addition(X0,X1) = X1
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',order) ).

fof(f4009,plain,
    ~ leq(sF1,sF1),
    inference(duplicate_literal_removal,[],[f4008]) ).

fof(f4008,plain,
    ( ~ leq(sF1,sF1)
    | ~ leq(sF1,sF1) ),
    inference(forward_demodulation,[],[f3985,f3918]) ).

fof(f3918,plain,
    sF1 = sF3,
    inference(superposition,[],[f3777,f2662]) ).

fof(f2662,plain,
    ! [X1] : sF1 = addition(sF1,X1),
    inference(superposition,[],[f2576,f40]) ).

fof(f40,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',additive_commutativity) ).

fof(f2576,plain,
    ! [X78] : sF1 = addition(X78,sF1),
    inference(backward_demodulation,[],[f2575,f2573]) ).

fof(f2573,plain,
    sF1 = multiplication(sF1,zero),
    inference(backward_demodulation,[],[f149,f2567]) ).

fof(f2567,plain,
    ! [X11,X12] : multiplication(sF1,X12) = addition(X11,multiplication(sF1,X12)),
    inference(forward_demodulation,[],[f2566,f50]) ).

fof(f50,plain,
    strong_iteration(one) = sF1,
    introduced(function_definition,[]) ).

fof(f2566,plain,
    ! [X11,X12] : multiplication(strong_iteration(one),X12) = addition(X11,multiplication(strong_iteration(one),X12)),
    inference(trivial_inequality_removal,[],[f2565]) ).

fof(f2565,plain,
    ! [X11,X12] :
      ( addition(X11,X12) != addition(X11,X12)
      | multiplication(strong_iteration(one),X12) = addition(X11,multiplication(strong_iteration(one),X12)) ),
    inference(forward_demodulation,[],[f2517,f160]) ).

fof(f160,plain,
    ! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
    inference(superposition,[],[f43,f35]) ).

fof(f43,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',additive_associativity) ).

fof(f2517,plain,
    ! [X11,X12] :
      ( addition(X11,X12) != addition(X11,addition(X11,X12))
      | multiplication(strong_iteration(one),X12) = addition(X11,multiplication(strong_iteration(one),X12)) ),
    inference(superposition,[],[f55,f34]) ).

fof(f34,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',multiplicative_left_identity) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( addition(multiplication(X0,X2),X1) != addition(X2,addition(multiplication(X0,X2),X1))
      | multiplication(strong_iteration(X0),X1) = addition(X2,multiplication(strong_iteration(X0),X1)) ),
    inference(forward_literal_rewriting,[],[f54,f42]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( multiplication(strong_iteration(X0),X1) = addition(X2,multiplication(strong_iteration(X0),X1))
      | ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
    inference(forward_literal_rewriting,[],[f47,f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( leq(X2,multiplication(strong_iteration(X0),X1))
      | ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( leq(X2,multiplication(strong_iteration(X0),X1))
      | ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( leq(X2,addition(multiplication(X0,X2),X1))
     => leq(X2,multiplication(strong_iteration(X0),X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',infty_coinduction) ).

fof(f149,plain,
    sF1 = addition(star(one),multiplication(sF1,zero)),
    inference(superposition,[],[f39,f50]) ).

fof(f39,plain,
    ! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',isolation) ).

fof(f2575,plain,
    ! [X78] : multiplication(sF1,zero) = addition(X78,sF1),
    inference(forward_demodulation,[],[f2568,f2567]) ).

fof(f2568,plain,
    ! [X78] : addition(star(one),multiplication(sF1,zero)) = addition(X78,sF1),
    inference(backward_demodulation,[],[f1315,f2567]) ).

fof(f1315,plain,
    ! [X78] : addition(star(one),addition(X78,multiplication(sF1,zero))) = addition(X78,sF1),
    inference(superposition,[],[f184,f149]) ).

fof(f184,plain,
    ! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(X5,addition(X4,X6)),
    inference(forward_demodulation,[],[f161,f43]) ).

fof(f161,plain,
    ! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(addition(X5,X4),X6),
    inference(superposition,[],[f43,f40]) ).

fof(f3777,plain,
    ! [X23] : sF3 = addition(X23,sF3),
    inference(forward_demodulation,[],[f3690,f2911]) ).

fof(f2911,plain,
    ! [X0] : sF3 = multiplication(sF3,X0),
    inference(forward_demodulation,[],[f2910,f2870]) ).

fof(f2870,plain,
    sF3 = multiplication(sF3,zero),
    inference(superposition,[],[f2602,f1603]) ).

fof(f1603,plain,
    ! [X49] : addition(X49,multiplication(X49,zero)) = X49,
    inference(forward_demodulation,[],[f1570,f33]) ).

fof(f33,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',multiplicative_right_identity) ).

fof(f1570,plain,
    ! [X49] : addition(X49,multiplication(X49,zero)) = multiplication(X49,one),
    inference(superposition,[],[f453,f32]) ).

fof(f32,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',additive_identity) ).

fof(f453,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(superposition,[],[f45,f33]) ).

fof(f45,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',distributivity1) ).

fof(f2602,plain,
    ! [X20] : multiplication(sF3,X20) = addition(sF3,multiplication(sF3,X20)),
    inference(forward_demodulation,[],[f2601,f52]) ).

fof(f52,plain,
    strong_iteration(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f2601,plain,
    ! [X20] : multiplication(strong_iteration(sF2),X20) = addition(sF3,multiplication(strong_iteration(sF2),X20)),
    inference(trivial_inequality_removal,[],[f2600]) ).

fof(f2600,plain,
    ! [X20] :
      ( addition(sF3,X20) != addition(sF3,X20)
      | multiplication(strong_iteration(sF2),X20) = addition(sF3,multiplication(strong_iteration(sF2),X20)) ),
    inference(forward_demodulation,[],[f2523,f160]) ).

fof(f2523,plain,
    ! [X20] :
      ( addition(sF3,X20) != addition(sF3,addition(sF3,X20))
      | multiplication(strong_iteration(sF2),X20) = addition(sF3,multiplication(strong_iteration(sF2),X20)) ),
    inference(superposition,[],[f55,f1980]) ).

fof(f1980,plain,
    sF3 = multiplication(sF2,sF3),
    inference(forward_demodulation,[],[f1955,f119]) ).

fof(f119,plain,
    sF3 = addition(one,multiplication(sF2,sF3)),
    inference(forward_demodulation,[],[f109,f40]) ).

fof(f109,plain,
    sF3 = addition(multiplication(sF2,sF3),one),
    inference(superposition,[],[f38,f52]) ).

fof(f38,plain,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',infty_unfold1) ).

fof(f1955,plain,
    multiplication(sF2,sF3) = addition(one,multiplication(sF2,sF3)),
    inference(superposition,[],[f240,f1560]) ).

fof(f1560,plain,
    ! [X27] : multiplication(X27,sF3) = addition(X27,multiplication(X27,sF3)),
    inference(superposition,[],[f453,f216]) ).

fof(f216,plain,
    sF3 = addition(one,sF3),
    inference(superposition,[],[f160,f119]) ).

fof(f240,plain,
    ! [X0] : addition(sF2,X0) = addition(one,addition(sF2,X0)),
    inference(superposition,[],[f43,f214]) ).

fof(f214,plain,
    sF2 = addition(one,sF2),
    inference(superposition,[],[f160,f83]) ).

fof(f83,plain,
    sF2 = addition(one,multiplication(sK0,sF2)),
    inference(superposition,[],[f36,f51]) ).

fof(f51,plain,
    star(sK0) = sF2,
    introduced(function_definition,[]) ).

fof(f36,plain,
    ! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',star_unfold1) ).

fof(f2910,plain,
    ! [X0] : multiplication(sF3,zero) = multiplication(sF3,X0),
    inference(forward_demodulation,[],[f2902,f31]) ).

fof(f31,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',left_annihilation) ).

fof(f2902,plain,
    ! [X0] : multiplication(sF3,X0) = multiplication(sF3,multiplication(zero,X0)),
    inference(superposition,[],[f44,f2870]) ).

fof(f44,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',multiplicative_associativity) ).

fof(f3690,plain,
    ! [X23] : multiplication(sF3,X23) = addition(X23,multiplication(sF3,X23)),
    inference(superposition,[],[f786,f216]) ).

fof(f786,plain,
    ! [X8,X9] : multiplication(addition(one,X9),X8) = addition(X8,multiplication(X9,X8)),
    inference(superposition,[],[f46,f34]) ).

fof(f46,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',distributivity2) ).

fof(f3985,plain,
    ( ~ leq(sF1,sF1)
    | ~ leq(sF3,sF1) ),
    inference(backward_demodulation,[],[f53,f3918]) ).

fof(f53,plain,
    ( ~ leq(sF3,sF1)
    | ~ leq(sF1,sF3) ),
    inference(definition_folding,[],[f30,f50,f52,f51,f52,f51,f50]) ).

fof(f30,plain,
    ( ~ leq(strong_iteration(one),strong_iteration(star(sK0)))
    | ~ leq(strong_iteration(star(sK0)),strong_iteration(one)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( ~ leq(strong_iteration(one),strong_iteration(star(sK0)))
    | ~ leq(strong_iteration(star(sK0)),strong_iteration(one)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f27]) ).

fof(f27,plain,
    ( ? [X0] :
        ( ~ leq(strong_iteration(one),strong_iteration(star(X0)))
        | ~ leq(strong_iteration(star(X0)),strong_iteration(one)) )
   => ( ~ leq(strong_iteration(one),strong_iteration(star(sK0)))
      | ~ leq(strong_iteration(star(sK0)),strong_iteration(one)) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0] :
      ( ~ leq(strong_iteration(one),strong_iteration(star(X0)))
      | ~ leq(strong_iteration(star(X0)),strong_iteration(one)) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0] :
        ( leq(strong_iteration(one),strong_iteration(star(X0)))
        & leq(strong_iteration(star(X0)),strong_iteration(one)) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X3] :
        ( leq(strong_iteration(one),strong_iteration(star(X3)))
        & leq(strong_iteration(star(X3)),strong_iteration(one)) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X3] :
      ( leq(strong_iteration(one),strong_iteration(star(X3)))
      & leq(strong_iteration(star(X3)),strong_iteration(one)) ),
    file('/export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : KLE144+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.36  % Computer : n026.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Aug 29 11:25:20 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.pddWFmiwsy/Vampire---4.8_10812
% 0.13/0.37  % (10932)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42  % (10933)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.19/0.42  % (10939)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.19/0.42  % (10937)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.19/0.42  % (10936)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.19/0.42  % (10934)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.19/0.42  % (10935)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.19/0.42  % (10937)Refutation not found, incomplete strategy% (10937)------------------------------
% 0.19/0.42  % (10937)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.42  % (10937)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.42  % (10937)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.42  
% 0.19/0.42  % (10937)Memory used [KB]: 895
% 0.19/0.42  % (10937)Time elapsed: 0.003 s
% 0.19/0.42  % (10937)------------------------------
% 0.19/0.42  % (10937)------------------------------
% 0.19/0.43  % (10938)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.19/0.49  % (10940)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.19/0.49  % (10940)Refutation not found, incomplete strategy% (10940)------------------------------
% 0.19/0.49  % (10940)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.49  % (10940)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.49  % (10940)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (10940)Memory used [KB]: 895
% 0.19/0.49  % (10940)Time elapsed: 0.003 s
% 0.19/0.49  % (10940)------------------------------
% 0.19/0.49  % (10940)------------------------------
% 0.19/0.53  % (10935)First to succeed.
% 0.19/0.53  % (10935)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for Vampire---4
% 0.19/0.53  % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.53  % (10935)------------------------------
% 0.19/0.53  % (10935)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.53  % (10935)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.53  % (10935)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (10935)Memory used [KB]: 3965
% 0.19/0.53  % (10935)Time elapsed: 0.109 s
% 0.19/0.53  % (10935)------------------------------
% 0.19/0.53  % (10935)------------------------------
% 0.19/0.53  % (10932)Success in time 0.164 s
% 0.19/0.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------