TSTP Solution File: SWV558-1.007 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV558-1.007 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 May 31 12:43:31 EDT 2023

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   51
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  148 ( 148 unt;   0 def)
%            Number of atoms       :  148 ( 147 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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   :   10 (;  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,I,E] : select(store(A,I,E),I) = E,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,I] : store(A,I,select(A,I)) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,hypothesis,
    a_29 = store(a1,i1,e_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    a_31 = store(a2,i1,e_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    a_33 = store(a_29,i2,e_32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    a_35 = store(a_31,i2,e_34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    a_37 = store(a_33,i3,e_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    a_39 = store(a_35,i3,e_38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    a_41 = store(a_37,i4,e_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    a_43 = store(a_39,i4,e_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    a_45 = store(a_41,i5,e_44),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    a_47 = store(a_43,i5,e_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,hypothesis,
    a_49 = store(a_45,i6,e_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    a_51 = store(a_47,i6,e_50),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    a_53 = store(a_49,i7,e_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    a_55 = store(a_51,i7,e_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    e_28 = select(a2,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,hypothesis,
    e_30 = select(a1,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,hypothesis,
    e_32 = select(a_31,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,hypothesis,
    e_34 = select(a_29,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,hypothesis,
    e_36 = select(a_35,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,hypothesis,
    e_38 = select(a_33,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,hypothesis,
    e_40 = select(a_39,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,hypothesis,
    e_42 = select(a_37,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,hypothesis,
    e_44 = select(a_43,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,hypothesis,
    e_46 = select(a_41,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,hypothesis,
    e_48 = select(a_47,i6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,hypothesis,
    e_50 = select(a_45,i6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,hypothesis,
    e_52 = select(a_51,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,hypothesis,
    e_54 = select(a_49,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,hypothesis,
    a_53 = a_55,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    a1 != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36,plain,
    ! [X0,X1,X2] : select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f39,plain,
    ! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f43,plain,
    a_29 = store(a1,i1,e_28),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f44,plain,
    a_31 = store(a2,i1,e_30),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f45,plain,
    a_33 = store(a_29,i2,e_32),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f46,plain,
    a_35 = store(a_31,i2,e_34),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f47,plain,
    a_37 = store(a_33,i3,e_36),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f48,plain,
    a_39 = store(a_35,i3,e_38),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f49,plain,
    a_41 = store(a_37,i4,e_40),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f50,plain,
    a_43 = store(a_39,i4,e_42),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f51,plain,
    a_45 = store(a_41,i5,e_44),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f52,plain,
    a_47 = store(a_43,i5,e_46),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f53,plain,
    a_49 = store(a_45,i6,e_48),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f54,plain,
    a_51 = store(a_47,i6,e_50),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f55,plain,
    a_53 = store(a_49,i7,e_52),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f56,plain,
    a_55 = store(a_51,i7,e_54),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f57,plain,
    e_28 = select(a2,i1),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f58,plain,
    e_30 = select(a1,i1),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f59,plain,
    e_32 = select(a_31,i2),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f60,plain,
    e_34 = select(a_29,i2),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f61,plain,
    e_36 = select(a_35,i3),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f62,plain,
    e_38 = select(a_33,i3),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f63,plain,
    e_40 = select(a_39,i4),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f64,plain,
    e_42 = select(a_37,i4),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f65,plain,
    e_44 = select(a_43,i5),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f66,plain,
    e_46 = select(a_41,i5),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f67,plain,
    e_48 = select(a_47,i6),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f68,plain,
    e_50 = select(a_45,i6),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f69,plain,
    e_52 = select(a_51,i7),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f70,plain,
    e_54 = select(a_49,i7),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f71,plain,
    a_53 = a_55,
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f72,plain,
    a1 != a2,
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f73,plain,
    store(a_51,i7,e_52) = a_51,
    inference(paramodulation,[status(thm)],[f69,f39]) ).

fof(f75,plain,
    store(a_47,i6,e_48) = a_47,
    inference(paramodulation,[status(thm)],[f67,f39]) ).

fof(f76,plain,
    store(a_41,i5,e_46) = a_41,
    inference(paramodulation,[status(thm)],[f66,f39]) ).

fof(f77,plain,
    store(a_43,i5,e_44) = a_43,
    inference(paramodulation,[status(thm)],[f65,f39]) ).

fof(f78,plain,
    store(a_37,i4,e_42) = a_37,
    inference(paramodulation,[status(thm)],[f64,f39]) ).

fof(f79,plain,
    store(a_39,i4,e_40) = a_39,
    inference(paramodulation,[status(thm)],[f63,f39]) ).

fof(f80,plain,
    store(a_33,i3,e_38) = a_33,
    inference(paramodulation,[status(thm)],[f62,f39]) ).

fof(f81,plain,
    store(a_35,i3,e_36) = a_35,
    inference(paramodulation,[status(thm)],[f61,f39]) ).

fof(f82,plain,
    store(a_29,i2,e_34) = a_29,
    inference(paramodulation,[status(thm)],[f60,f39]) ).

fof(f85,plain,
    store(a_31,i2,e_32) = a_31,
    inference(paramodulation,[status(thm)],[f59,f39]) ).

fof(f86,plain,
    store(a1,i1,e_30) = a1,
    inference(paramodulation,[status(thm)],[f58,f39]) ).

fof(f87,plain,
    store(a2,i1,e_28) = a2,
    inference(paramodulation,[status(thm)],[f57,f39]) ).

fof(f90,plain,
    select(a_29,i1) = e_28,
    inference(paramodulation,[status(thm)],[f43,f36]) ).

fof(f93,plain,
    select(a_31,i1) = e_30,
    inference(paramodulation,[status(thm)],[f44,f36]) ).

fof(f96,plain,
    select(a_33,i2) = e_32,
    inference(paramodulation,[status(thm)],[f45,f36]) ).

fof(f99,plain,
    select(a_35,i2) = e_34,
    inference(paramodulation,[status(thm)],[f46,f36]) ).

fof(f102,plain,
    select(a_37,i3) = e_36,
    inference(paramodulation,[status(thm)],[f47,f36]) ).

fof(f105,plain,
    select(a_39,i3) = e_38,
    inference(paramodulation,[status(thm)],[f48,f36]) ).

fof(f108,plain,
    select(a_41,i4) = e_40,
    inference(paramodulation,[status(thm)],[f49,f36]) ).

fof(f155,plain,
    select(a_43,i4) = e_42,
    inference(paramodulation,[status(thm)],[f50,f36]) ).

fof(f161,plain,
    select(a_45,i5) = e_44,
    inference(paramodulation,[status(thm)],[f51,f36]) ).

fof(f167,plain,
    select(a_47,i5) = e_46,
    inference(paramodulation,[status(thm)],[f52,f36]) ).

fof(f173,plain,
    select(a_49,i6) = e_48,
    inference(paramodulation,[status(thm)],[f53,f36]) ).

fof(f179,plain,
    select(a_51,i6) = e_50,
    inference(paramodulation,[status(thm)],[f54,f36]) ).

fof(f185,plain,
    select(a_53,i7) = e_52,
    inference(paramodulation,[status(thm)],[f55,f36]) ).

fof(f187,plain,
    a_53 = store(a_51,i7,e_54),
    inference(forward_demodulation,[status(thm)],[f71,f56]) ).

fof(f192,plain,
    select(a_53,i7) = e_54,
    inference(paramodulation,[status(thm)],[f187,f36]) ).

fof(f193,plain,
    e_52 = e_54,
    inference(forward_demodulation,[status(thm)],[f185,f192]) ).

fof(f194,plain,
    a_53 = store(a_51,i7,e_52),
    inference(backward_demodulation,[status(thm)],[f193,f187]) ).

fof(f195,plain,
    e_52 = select(a_49,i7),
    inference(backward_demodulation,[status(thm)],[f193,f70]) ).

fof(f196,plain,
    store(a_49,i7,e_52) = a_49,
    inference(paramodulation,[status(thm)],[f195,f39]) ).

fof(f197,plain,
    a_53 = a_49,
    inference(forward_demodulation,[status(thm)],[f55,f196]) ).

fof(f201,plain,
    a_49 = store(a_51,i7,e_52),
    inference(forward_demodulation,[status(thm)],[f197,f194]) ).

fof(f210,plain,
    a_49 = a_51,
    inference(forward_demodulation,[status(thm)],[f201,f73]) ).

fof(f212,plain,
    select(a_49,i6) = e_50,
    inference(backward_demodulation,[status(thm)],[f210,f179]) ).

fof(f213,plain,
    e_48 = e_50,
    inference(forward_demodulation,[status(thm)],[f173,f212]) ).

fof(f214,plain,
    a_49 = store(a_47,i6,e_50),
    inference(backward_demodulation,[status(thm)],[f210,f54]) ).

fof(f216,plain,
    e_48 = select(a_45,i6),
    inference(backward_demodulation,[status(thm)],[f213,f68]) ).

fof(f217,plain,
    store(a_45,i6,e_48) = a_45,
    inference(paramodulation,[status(thm)],[f216,f39]) ).

fof(f218,plain,
    a_49 = a_45,
    inference(forward_demodulation,[status(thm)],[f53,f217]) ).

fof(f250,plain,
    a_45 = store(a_47,i6,e_50),
    inference(forward_demodulation,[status(thm)],[f218,f214]) ).

fof(f251,plain,
    a_45 = store(a_47,i6,e_48),
    inference(forward_demodulation,[status(thm)],[f213,f250]) ).

fof(f252,plain,
    a_45 = a_47,
    inference(forward_demodulation,[status(thm)],[f75,f251]) ).

fof(f255,plain,
    select(a_45,i5) = e_46,
    inference(backward_demodulation,[status(thm)],[f252,f167]) ).

fof(f256,plain,
    e_44 = e_46,
    inference(forward_demodulation,[status(thm)],[f161,f255]) ).

fof(f257,plain,
    a_45 = store(a_43,i5,e_46),
    inference(backward_demodulation,[status(thm)],[f252,f52]) ).

fof(f262,plain,
    store(a_41,i5,e_44) = a_41,
    inference(backward_demodulation,[status(thm)],[f256,f76]) ).

fof(f263,plain,
    a_45 = a_41,
    inference(forward_demodulation,[status(thm)],[f51,f262]) ).

fof(f278,plain,
    a_41 = store(a_43,i5,e_46),
    inference(forward_demodulation,[status(thm)],[f263,f257]) ).

fof(f279,plain,
    a_41 = store(a_43,i5,e_44),
    inference(forward_demodulation,[status(thm)],[f256,f278]) ).

fof(f280,plain,
    a_41 = a_43,
    inference(forward_demodulation,[status(thm)],[f77,f279]) ).

fof(f283,plain,
    select(a_41,i4) = e_42,
    inference(backward_demodulation,[status(thm)],[f280,f155]) ).

fof(f284,plain,
    e_40 = e_42,
    inference(forward_demodulation,[status(thm)],[f108,f283]) ).

fof(f285,plain,
    a_41 = store(a_39,i4,e_42),
    inference(backward_demodulation,[status(thm)],[f280,f50]) ).

fof(f287,plain,
    store(a_37,i4,e_40) = a_37,
    inference(backward_demodulation,[status(thm)],[f284,f78]) ).

fof(f288,plain,
    a_41 = a_37,
    inference(forward_demodulation,[status(thm)],[f49,f287]) ).

fof(f339,plain,
    a_37 = store(a_39,i4,e_42),
    inference(forward_demodulation,[status(thm)],[f288,f285]) ).

fof(f340,plain,
    a_37 = store(a_39,i4,e_40),
    inference(forward_demodulation,[status(thm)],[f284,f339]) ).

fof(f341,plain,
    a_37 = a_39,
    inference(forward_demodulation,[status(thm)],[f79,f340]) ).

fof(f344,plain,
    select(a_37,i3) = e_38,
    inference(backward_demodulation,[status(thm)],[f341,f105]) ).

fof(f345,plain,
    e_36 = e_38,
    inference(forward_demodulation,[status(thm)],[f102,f344]) ).

fof(f346,plain,
    a_37 = store(a_35,i3,e_38),
    inference(backward_demodulation,[status(thm)],[f341,f48]) ).

fof(f351,plain,
    store(a_33,i3,e_36) = a_33,
    inference(backward_demodulation,[status(thm)],[f345,f80]) ).

fof(f352,plain,
    a_37 = a_33,
    inference(forward_demodulation,[status(thm)],[f47,f351]) ).

fof(f375,plain,
    a_33 = store(a_35,i3,e_38),
    inference(forward_demodulation,[status(thm)],[f352,f346]) ).

fof(f376,plain,
    a_33 = store(a_35,i3,e_36),
    inference(forward_demodulation,[status(thm)],[f345,f375]) ).

fof(f377,plain,
    a_33 = a_35,
    inference(forward_demodulation,[status(thm)],[f81,f376]) ).

fof(f380,plain,
    select(a_33,i2) = e_34,
    inference(backward_demodulation,[status(thm)],[f377,f99]) ).

fof(f381,plain,
    e_32 = e_34,
    inference(forward_demodulation,[status(thm)],[f96,f380]) ).

fof(f382,plain,
    a_33 = store(a_31,i2,e_34),
    inference(backward_demodulation,[status(thm)],[f377,f46]) ).

fof(f384,plain,
    store(a_29,i2,e_32) = a_29,
    inference(backward_demodulation,[status(thm)],[f381,f82]) ).

fof(f385,plain,
    a_33 = a_29,
    inference(forward_demodulation,[status(thm)],[f45,f384]) ).

fof(f441,plain,
    a_29 = store(a_31,i2,e_34),
    inference(forward_demodulation,[status(thm)],[f385,f382]) ).

fof(f442,plain,
    a_29 = store(a_31,i2,e_32),
    inference(forward_demodulation,[status(thm)],[f381,f441]) ).

fof(f443,plain,
    a_29 = a_31,
    inference(forward_demodulation,[status(thm)],[f85,f442]) ).

fof(f448,plain,
    select(a_29,i1) = e_30,
    inference(backward_demodulation,[status(thm)],[f443,f93]) ).

fof(f449,plain,
    e_28 = e_30,
    inference(forward_demodulation,[status(thm)],[f90,f448]) ).

fof(f450,plain,
    a_29 = store(a2,i1,e_30),
    inference(backward_demodulation,[status(thm)],[f443,f44]) ).

fof(f452,plain,
    store(a1,i1,e_28) = a1,
    inference(backward_demodulation,[status(thm)],[f449,f86]) ).

fof(f453,plain,
    a_29 = a1,
    inference(forward_demodulation,[status(thm)],[f43,f452]) ).

fof(f456,plain,
    a_29 != a2,
    inference(backward_demodulation,[status(thm)],[f453,f72]) ).

fof(f473,plain,
    a_29 = store(a2,i1,e_28),
    inference(forward_demodulation,[status(thm)],[f449,f450]) ).

fof(f474,plain,
    a_29 = a2,
    inference(forward_demodulation,[status(thm)],[f87,f473]) ).

fof(f475,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f474,f456]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV558-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n001.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 : Tue May 30 12:06:45 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.57  % Elapsed time: 0.017423 seconds
% 0.27/0.57  % CPU time: 0.062159 seconds
% 0.27/0.57  % Memory used: 15.095 MB
%------------------------------------------------------------------------------