TSTP Solution File: SWV558-1.007 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV558-1.007 : 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 : n025.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 18:52:50 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  116 ( 116 unt;   0 def)
%            Number of atoms       :  116 ( 115 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   39 (  39 usr;  37 con; 0-3 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f344,plain,
    $false,
    inference(subsumption_resolution,[],[f343,f338]) ).

fof(f338,plain,
    a_29 != a2,
    inference(backward_demodulation,[],[f35,f336]) ).

fof(f336,plain,
    a_29 = a1,
    inference(forward_demodulation,[],[f334,f6]) ).

fof(f6,axiom,
    a_29 = store(a1,i1,e_28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

fof(f334,plain,
    a1 = store(a1,i1,e_28),
    inference(backward_demodulation,[],[f38,f333]) ).

fof(f333,plain,
    e_28 = e_30,
    inference(forward_demodulation,[],[f330,f53]) ).

fof(f53,plain,
    e_28 = select(a_29,i1),
    inference(superposition,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

fof(f330,plain,
    e_30 = select(a_29,i1),
    inference(backward_demodulation,[],[f58,f325]) ).

fof(f325,plain,
    a_29 = a_31,
    inference(forward_demodulation,[],[f324,f296]) ).

fof(f296,plain,
    a_29 = a_33,
    inference(backward_demodulation,[],[f8,f294]) ).

fof(f294,plain,
    a_29 = store(a_29,i2,e_32),
    inference(backward_demodulation,[],[f40,f293]) ).

fof(f293,plain,
    e_32 = e_34,
    inference(forward_demodulation,[],[f288,f63]) ).

fof(f63,plain,
    e_32 = select(a_33,i2),
    inference(superposition,[],[f1,f8]) ).

fof(f288,plain,
    e_34 = select(a_33,i2),
    inference(backward_demodulation,[],[f68,f283]) ).

fof(f283,plain,
    a_33 = a_35,
    inference(forward_demodulation,[],[f282,f261]) ).

fof(f261,plain,
    a_33 = a_37,
    inference(backward_demodulation,[],[f10,f259]) ).

fof(f259,plain,
    a_33 = store(a_33,i3,e_36),
    inference(backward_demodulation,[],[f42,f256]) ).

fof(f256,plain,
    e_36 = e_38,
    inference(forward_demodulation,[],[f235,f73]) ).

fof(f73,plain,
    e_36 = select(a_37,i3),
    inference(superposition,[],[f1,f10]) ).

fof(f235,plain,
    e_38 = select(a_37,i3),
    inference(backward_demodulation,[],[f78,f230]) ).

fof(f230,plain,
    a_37 = a_39,
    inference(backward_demodulation,[],[f211,f208]) ).

fof(f208,plain,
    a_37 = store(a_37,i4,e_40),
    inference(backward_demodulation,[],[f44,f205]) ).

fof(f205,plain,
    e_40 = e_42,
    inference(forward_demodulation,[],[f199,f83]) ).

fof(f83,plain,
    e_40 = select(a_41,i4),
    inference(superposition,[],[f1,f12]) ).

fof(f12,axiom,
    a_41 = store(a_37,i4,e_40),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

fof(f199,plain,
    e_42 = select(a_41,i4),
    inference(backward_demodulation,[],[f88,f194]) ).

fof(f194,plain,
    a_41 = a_43,
    inference(forward_demodulation,[],[f193,f178]) ).

fof(f178,plain,
    a_41 = a_45,
    inference(backward_demodulation,[],[f14,f176]) ).

fof(f176,plain,
    a_41 = store(a_41,i5,e_44),
    inference(backward_demodulation,[],[f46,f174]) ).

fof(f174,plain,
    e_44 = e_46,
    inference(forward_demodulation,[],[f162,f93]) ).

fof(f93,plain,
    e_44 = select(a_45,i5),
    inference(superposition,[],[f1,f14]) ).

fof(f162,plain,
    e_46 = select(a_45,i5),
    inference(backward_demodulation,[],[f98,f157]) ).

fof(f157,plain,
    a_45 = a_47,
    inference(backward_demodulation,[],[f147,f144]) ).

fof(f144,plain,
    a_45 = store(a_45,i6,e_48),
    inference(backward_demodulation,[],[f48,f141]) ).

fof(f141,plain,
    e_48 = e_50,
    inference(forward_demodulation,[],[f135,f103]) ).

fof(f103,plain,
    e_48 = select(a_49,i6),
    inference(superposition,[],[f1,f16]) ).

fof(f16,axiom,
    a_49 = store(a_45,i6,e_48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

fof(f135,plain,
    e_50 = select(a_49,i6),
    inference(backward_demodulation,[],[f108,f130]) ).

fof(f130,plain,
    a_49 = a_51,
    inference(backward_demodulation,[],[f127,f123]) ).

fof(f123,plain,
    a_49 = store(a_49,i7,e_52),
    inference(backward_demodulation,[],[f50,f121]) ).

fof(f121,plain,
    e_52 = e_54,
    inference(backward_demodulation,[],[f113,f118]) ).

fof(f118,plain,
    e_52 = select(a_55,i7),
    inference(superposition,[],[f1,f36]) ).

fof(f36,plain,
    store(a_49,i7,e_52) = a_55,
    inference(definition_unfolding,[],[f18,f34]) ).

fof(f34,axiom,
    a_53 = a_55,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).

fof(f18,axiom,
    a_53 = store(a_49,i7,e_52),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

fof(f113,plain,
    e_54 = select(a_55,i7),
    inference(superposition,[],[f1,f19]) ).

fof(f19,axiom,
    a_55 = store(a_51,i7,e_54),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

fof(f50,plain,
    a_49 = store(a_49,i7,e_54),
    inference(superposition,[],[f3,f33]) ).

fof(f33,axiom,
    e_54 = select(a_49,i7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).

fof(f3,axiom,
    ! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).

fof(f127,plain,
    a_51 = store(a_49,i7,e_52),
    inference(backward_demodulation,[],[f36,f126]) ).

fof(f126,plain,
    a_51 = a_55,
    inference(forward_demodulation,[],[f124,f49]) ).

fof(f49,plain,
    a_51 = store(a_51,i7,e_52),
    inference(superposition,[],[f3,f32]) ).

fof(f32,axiom,
    e_52 = select(a_51,i7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).

fof(f124,plain,
    a_55 = store(a_51,i7,e_52),
    inference(backward_demodulation,[],[f19,f121]) ).

fof(f108,plain,
    e_50 = select(a_51,i6),
    inference(superposition,[],[f1,f17]) ).

fof(f17,axiom,
    a_51 = store(a_47,i6,e_50),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

fof(f48,plain,
    a_45 = store(a_45,i6,e_50),
    inference(superposition,[],[f3,f31]) ).

fof(f31,axiom,
    e_50 = select(a_45,i6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).

fof(f147,plain,
    a_47 = store(a_45,i6,e_48),
    inference(backward_demodulation,[],[f16,f146]) ).

fof(f146,plain,
    a_47 = a_49,
    inference(forward_demodulation,[],[f143,f47]) ).

fof(f47,plain,
    a_47 = store(a_47,i6,e_48),
    inference(superposition,[],[f3,f30]) ).

fof(f30,axiom,
    e_48 = select(a_47,i6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).

fof(f143,plain,
    a_49 = store(a_47,i6,e_48),
    inference(backward_demodulation,[],[f131,f141]) ).

fof(f131,plain,
    a_49 = store(a_47,i6,e_50),
    inference(backward_demodulation,[],[f17,f130]) ).

fof(f98,plain,
    e_46 = select(a_47,i5),
    inference(superposition,[],[f1,f15]) ).

fof(f15,axiom,
    a_47 = store(a_43,i5,e_46),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

fof(f46,plain,
    a_41 = store(a_41,i5,e_46),
    inference(superposition,[],[f3,f29]) ).

fof(f29,axiom,
    e_46 = select(a_41,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).

fof(f14,axiom,
    a_45 = store(a_41,i5,e_44),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

fof(f193,plain,
    a_43 = a_45,
    inference(forward_demodulation,[],[f192,f45]) ).

fof(f45,plain,
    a_43 = store(a_43,i5,e_44),
    inference(superposition,[],[f3,f28]) ).

fof(f28,axiom,
    e_44 = select(a_43,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).

fof(f192,plain,
    a_45 = store(a_43,i5,e_44),
    inference(forward_demodulation,[],[f158,f174]) ).

fof(f158,plain,
    a_45 = store(a_43,i5,e_46),
    inference(backward_demodulation,[],[f15,f157]) ).

fof(f88,plain,
    e_42 = select(a_43,i4),
    inference(superposition,[],[f1,f13]) ).

fof(f13,axiom,
    a_43 = store(a_39,i4,e_42),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

fof(f44,plain,
    a_37 = store(a_37,i4,e_42),
    inference(superposition,[],[f3,f27]) ).

fof(f27,axiom,
    e_42 = select(a_37,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).

fof(f211,plain,
    a_39 = store(a_37,i4,e_40),
    inference(backward_demodulation,[],[f12,f210]) ).

fof(f210,plain,
    a_39 = a_41,
    inference(forward_demodulation,[],[f207,f43]) ).

fof(f43,plain,
    a_39 = store(a_39,i4,e_40),
    inference(superposition,[],[f3,f26]) ).

fof(f26,axiom,
    e_40 = select(a_39,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).

fof(f207,plain,
    a_41 = store(a_39,i4,e_40),
    inference(backward_demodulation,[],[f195,f205]) ).

fof(f195,plain,
    a_41 = store(a_39,i4,e_42),
    inference(backward_demodulation,[],[f13,f194]) ).

fof(f78,plain,
    e_38 = select(a_39,i3),
    inference(superposition,[],[f1,f11]) ).

fof(f11,axiom,
    a_39 = store(a_35,i3,e_38),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

fof(f42,plain,
    a_33 = store(a_33,i3,e_38),
    inference(superposition,[],[f3,f25]) ).

fof(f25,axiom,
    e_38 = select(a_33,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

fof(f10,axiom,
    a_37 = store(a_33,i3,e_36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

fof(f282,plain,
    a_35 = a_37,
    inference(forward_demodulation,[],[f257,f41]) ).

fof(f41,plain,
    a_35 = store(a_35,i3,e_36),
    inference(superposition,[],[f3,f24]) ).

fof(f24,axiom,
    e_36 = select(a_35,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).

fof(f257,plain,
    a_37 = store(a_35,i3,e_36),
    inference(backward_demodulation,[],[f231,f256]) ).

fof(f231,plain,
    a_37 = store(a_35,i3,e_38),
    inference(backward_demodulation,[],[f11,f230]) ).

fof(f68,plain,
    e_34 = select(a_35,i2),
    inference(superposition,[],[f1,f9]) ).

fof(f9,axiom,
    a_35 = store(a_31,i2,e_34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

fof(f40,plain,
    a_29 = store(a_29,i2,e_34),
    inference(superposition,[],[f3,f23]) ).

fof(f23,axiom,
    e_34 = select(a_29,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).

fof(f8,axiom,
    a_33 = store(a_29,i2,e_32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

fof(f324,plain,
    a_31 = a_33,
    inference(forward_demodulation,[],[f323,f39]) ).

fof(f39,plain,
    a_31 = store(a_31,i2,e_32),
    inference(superposition,[],[f3,f22]) ).

fof(f22,axiom,
    e_32 = select(a_31,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

fof(f323,plain,
    a_33 = store(a_31,i2,e_32),
    inference(forward_demodulation,[],[f284,f293]) ).

fof(f284,plain,
    a_33 = store(a_31,i2,e_34),
    inference(backward_demodulation,[],[f9,f283]) ).

fof(f58,plain,
    e_30 = select(a_31,i1),
    inference(superposition,[],[f1,f7]) ).

fof(f7,axiom,
    a_31 = store(a2,i1,e_30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).

fof(f38,plain,
    a1 = store(a1,i1,e_30),
    inference(superposition,[],[f3,f21]) ).

fof(f21,axiom,
    e_30 = select(a1,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

fof(f35,axiom,
    a1 != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

fof(f343,plain,
    a_29 = a2,
    inference(backward_demodulation,[],[f37,f342]) ).

fof(f342,plain,
    a_29 = store(a2,i1,e_28),
    inference(forward_demodulation,[],[f326,f333]) ).

fof(f326,plain,
    a_29 = store(a2,i1,e_30),
    inference(backward_demodulation,[],[f7,f325]) ).

fof(f37,plain,
    a2 = store(a2,i1,e_28),
    inference(superposition,[],[f3,f20]) ).

fof(f20,axiom,
    e_28 = select(a2,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV558-1.007 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 19:50:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.47  % (10518)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.47  % (10526)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.49  % (10510)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (10509)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (10526)First to succeed.
% 0.20/0.51  % (10518)Also succeeded, but the first one will report.
% 0.20/0.51  % (10526)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (10526)------------------------------
% 0.20/0.51  % (10526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (10526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (10526)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (10526)Memory used [KB]: 6140
% 0.20/0.51  % (10526)Time elapsed: 0.088 s
% 0.20/0.51  % (10526)Instructions burned: 26 (million)
% 0.20/0.51  % (10526)------------------------------
% 0.20/0.51  % (10526)------------------------------
% 0.20/0.51  % (10499)Success in time 0.165 s
%------------------------------------------------------------------------------