TSTP Solution File: LAT164-1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : LAT164-1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n023.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 : Mon Jun 24 10:33:19 EDT 2024

% Result   : Unsatisfiable 14.93s 2.50s
% Output   : Refutation 14.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  158 ( 158 unt;   0 def)
%            Number of atoms       :  158 ( 152 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   70 (  70   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18424,plain,
    $false,
    inference(subsumption_resolution,[],[f17886,f21]) ).

fof(f21,plain,
    ~ sP0(sF3),
    inference(definition_folding,[],[f11,f15,f14,f13]) ).

fof(f13,plain,
    meet(a,c) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f14,plain,
    join(b,sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f15,plain,
    meet(a,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f11,plain,
    ~ sP0(meet(a,join(b,meet(a,c)))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f17886,plain,
    sP0(sF3),
    inference(backward_demodulation,[],[f20,f17884]) ).

fof(f17884,plain,
    sF3 = sF7,
    inference(backward_demodulation,[],[f190,f17883]) ).

fof(f17883,plain,
    sF3 = meet(a,sF7),
    inference(forward_demodulation,[],[f17859,f6358]) ).

fof(f6358,plain,
    sF3 = meet(sF3,sF7),
    inference(forward_demodulation,[],[f6339,f110]) ).

fof(f110,plain,
    sF3 = meet(sF3,a),
    inference(superposition,[],[f42,f29]) ).

fof(f29,plain,
    a = join(a,sF3),
    inference(superposition,[],[f4,f15]) ).

fof(f4,axiom,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f42,plain,
    ! [X0,X1] : meet(X0,join(X1,X0)) = X0,
    inference(superposition,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6339,plain,
    meet(sF3,a) = meet(sF3,sF7),
    inference(superposition,[],[f88,f5890]) ).

fof(f5890,plain,
    sF7 = meet(sF6,a),
    inference(forward_demodulation,[],[f5760,f394]) ).

fof(f394,plain,
    sF7 = meet(sF6,sF7),
    inference(superposition,[],[f123,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f123,plain,
    sF7 = meet(sF7,sF6),
    inference(superposition,[],[f42,f51]) ).

fof(f51,plain,
    sF6 = join(sF6,sF7),
    inference(superposition,[],[f40,f19]) ).

fof(f19,plain,
    meet(a,sF6) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

fof(f40,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = X0,
    inference(superposition,[],[f4,f5]) ).

fof(f5760,plain,
    meet(sF6,a) = meet(sF6,sF7),
    inference(superposition,[],[f130,f19]) ).

fof(f130,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
    inference(forward_demodulation,[],[f104,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f104,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
    inference(superposition,[],[f42,f4]) ).

fof(f88,plain,
    ! [X0] : meet(sF3,X0) = meet(sF3,meet(sF6,X0)),
    inference(superposition,[],[f7,f25]) ).

fof(f25,plain,
    sF3 = meet(sF3,sF6),
    inference(superposition,[],[f3,f18]) ).

fof(f18,plain,
    join(sF3,sF5) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f17859,plain,
    meet(a,sF7) = meet(sF3,sF7),
    inference(superposition,[],[f83,f17678]) ).

fof(f17678,plain,
    sF7 = meet(sF2,sF7),
    inference(superposition,[],[f17648,f5]) ).

fof(f17648,plain,
    sF7 = meet(sF7,sF2),
    inference(forward_demodulation,[],[f17647,f42]) ).

fof(f17647,plain,
    meet(sF7,sF2) = meet(sF7,join(b,sF7)),
    inference(forward_demodulation,[],[f17646,f3469]) ).

fof(f3469,plain,
    sF2 = join(b,sF3),
    inference(forward_demodulation,[],[f3459,f49]) ).

fof(f49,plain,
    sF2 = join(sF2,sF3),
    inference(superposition,[],[f40,f15]) ).

fof(f3459,plain,
    join(sF2,sF3) = join(b,sF3),
    inference(superposition,[],[f155,f3391]) ).

fof(f3391,plain,
    sF3 = join(sF1,sF3),
    inference(superposition,[],[f1700,f6]) ).

fof(f1700,plain,
    sF3 = join(sF3,sF1),
    inference(backward_demodulation,[],[f1220,f1689]) ).

fof(f1689,plain,
    sF1 = meet(a,sF5),
    inference(backward_demodulation,[],[f320,f1680]) ).

fof(f1680,plain,
    sF1 = meet(sF1,sF4),
    inference(backward_demodulation,[],[f807,f1676]) ).

fof(f1676,plain,
    sF4 = join(a,sF2),
    inference(backward_demodulation,[],[f709,f1665]) ).

fof(f1665,plain,
    sF4 = join(sF4,sF1),
    inference(superposition,[],[f1531,f109]) ).

fof(f109,plain,
    sF1 = meet(sF1,a),
    inference(superposition,[],[f42,f28]) ).

fof(f28,plain,
    a = join(a,sF1),
    inference(superposition,[],[f4,f13]) ).

fof(f1531,plain,
    ! [X0] : sF4 = join(sF4,meet(X0,a)),
    inference(superposition,[],[f95,f23]) ).

fof(f23,plain,
    a = meet(a,sF4),
    inference(superposition,[],[f3,f16]) ).

fof(f16,plain,
    join(a,b) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f95,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
    inference(superposition,[],[f40,f7]) ).

fof(f709,plain,
    join(sF4,sF1) = join(a,sF2),
    inference(superposition,[],[f150,f14]) ).

fof(f150,plain,
    ! [X0] : join(a,join(b,X0)) = join(sF4,X0),
    inference(superposition,[],[f8,f16]) ).

fof(f8,axiom,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f807,plain,
    sF1 = meet(sF1,join(a,sF2)),
    inference(superposition,[],[f42,f709]) ).

fof(f320,plain,
    meet(sF1,sF4) = meet(a,sF5),
    inference(superposition,[],[f82,f17]) ).

fof(f17,plain,
    meet(c,sF4) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f82,plain,
    ! [X0] : meet(a,meet(c,X0)) = meet(sF1,X0),
    inference(superposition,[],[f7,f13]) ).

fof(f1220,plain,
    sF3 = join(sF3,meet(a,sF5)),
    inference(superposition,[],[f4,f1207]) ).

fof(f1207,plain,
    meet(a,sF5) = meet(sF3,sF5),
    inference(forward_demodulation,[],[f1206,f341]) ).

fof(f341,plain,
    ! [X0] : meet(sF3,X0) = meet(a,meet(X0,sF2)),
    inference(superposition,[],[f83,f5]) ).

fof(f1206,plain,
    meet(a,sF5) = meet(a,meet(sF5,sF2)),
    inference(forward_demodulation,[],[f1204,f7]) ).

fof(f1204,plain,
    meet(a,sF5) = meet(meet(a,sF5),sF2),
    inference(superposition,[],[f42,f1005]) ).

fof(f1005,plain,
    sF2 = join(sF2,meet(a,sF5)),
    inference(forward_demodulation,[],[f991,f14]) ).

fof(f991,plain,
    join(b,sF1) = join(sF2,meet(a,sF5)),
    inference(superposition,[],[f155,f517]) ).

fof(f517,plain,
    sF1 = join(sF1,meet(a,sF5)),
    inference(superposition,[],[f4,f320]) ).

fof(f155,plain,
    ! [X0] : join(b,join(sF1,X0)) = join(sF2,X0),
    inference(superposition,[],[f8,f14]) ).

fof(f17646,plain,
    meet(sF7,join(b,sF7)) = meet(sF7,join(b,sF3)),
    inference(forward_demodulation,[],[f17624,f190]) ).

fof(f17624,plain,
    meet(sF7,join(b,sF3)) = meet(sF7,join(b,meet(a,sF7))),
    inference(superposition,[],[f215,f17479]) ).

fof(f17479,plain,
    sF3 = meet(a,join(b,sF7)),
    inference(forward_demodulation,[],[f17478,f7853]) ).

fof(f7853,plain,
    join(b,sF7) = join(sF2,sF7),
    inference(superposition,[],[f155,f7833]) ).

fof(f7833,plain,
    sF7 = join(sF1,sF7),
    inference(superposition,[],[f7811,f6]) ).

fof(f7811,plain,
    sF7 = join(sF7,sF1),
    inference(superposition,[],[f6586,f1725]) ).

fof(f1725,plain,
    sF1 = meet(sF1,sF3),
    inference(backward_demodulation,[],[f1703,f1721]) ).

fof(f1721,plain,
    ! [X0] : meet(sF1,X0) = meet(a,meet(sF5,X0)),
    inference(backward_demodulation,[],[f452,f1684]) ).

fof(f1684,plain,
    ! [X0] : meet(sF1,X0) = meet(sF1,meet(sF4,X0)),
    inference(backward_demodulation,[],[f955,f1676]) ).

fof(f955,plain,
    ! [X0] : meet(sF1,X0) = meet(sF1,meet(join(a,sF2),X0)),
    inference(superposition,[],[f7,f807]) ).

fof(f452,plain,
    ! [X0] : meet(sF1,meet(sF4,X0)) = meet(a,meet(sF5,X0)),
    inference(superposition,[],[f82,f87]) ).

fof(f87,plain,
    ! [X0] : meet(c,meet(sF4,X0)) = meet(sF5,X0),
    inference(superposition,[],[f7,f17]) ).

fof(f1703,plain,
    sF1 = meet(a,meet(sF5,sF3)),
    inference(backward_demodulation,[],[f1232,f1689]) ).

fof(f1232,plain,
    meet(a,sF5) = meet(a,meet(sF5,sF3)),
    inference(forward_demodulation,[],[f1230,f7]) ).

fof(f1230,plain,
    meet(a,sF5) = meet(meet(a,sF5),sF3),
    inference(superposition,[],[f42,f1220]) ).

fof(f6586,plain,
    ! [X0] : sF7 = join(sF7,meet(X0,sF3)),
    inference(superposition,[],[f95,f6358]) ).

fof(f17478,plain,
    sF3 = meet(a,join(sF2,sF7)),
    inference(forward_demodulation,[],[f17477,f7642]) ).

fof(f7642,plain,
    sF3 = meet(a,join(b,sF5)),
    inference(forward_demodulation,[],[f7641,f15]) ).

fof(f7641,plain,
    meet(a,sF2) = meet(a,join(b,sF5)),
    inference(forward_demodulation,[],[f7638,f304]) ).

fof(f304,plain,
    sF2 = join(sF2,sF1),
    inference(superposition,[],[f40,f113]) ).

fof(f113,plain,
    sF1 = meet(sF1,sF2),
    inference(superposition,[],[f42,f14]) ).

fof(f7638,plain,
    meet(a,join(sF2,sF1)) = meet(a,join(b,sF5)),
    inference(backward_demodulation,[],[f6265,f7637]) ).

fof(f7637,plain,
    sF1 = meet(sF5,a),
    inference(forward_demodulation,[],[f7607,f1690]) ).

fof(f1690,plain,
    sF1 = meet(sF1,sF5),
    inference(backward_demodulation,[],[f359,f1689]) ).

fof(f359,plain,
    meet(a,sF5) = meet(sF1,sF5),
    inference(superposition,[],[f82,f286]) ).

fof(f286,plain,
    sF5 = meet(c,sF5),
    inference(superposition,[],[f77,f17]) ).

fof(f77,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
    inference(superposition,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : meet(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7607,plain,
    meet(sF1,sF5) = meet(sF5,a),
    inference(superposition,[],[f5759,f5]) ).

fof(f5759,plain,
    meet(sF5,sF1) = meet(sF5,a),
    inference(superposition,[],[f130,f1689]) ).

fof(f6265,plain,
    meet(a,join(b,sF5)) = meet(a,join(sF2,meet(sF5,a))),
    inference(forward_demodulation,[],[f6264,f5205]) ).

fof(f5205,plain,
    ! [X0] : meet(a,join(sF2,meet(X0,a))) = meet(a,join(sF2,meet(X0,sF4))),
    inference(superposition,[],[f215,f1737]) ).

fof(f1737,plain,
    sF4 = join(sF2,a),
    inference(forward_demodulation,[],[f1734,f1686]) ).

fof(f1686,plain,
    sF4 = join(sF2,sF4),
    inference(backward_demodulation,[],[f1183,f1676]) ).

fof(f1183,plain,
    join(a,sF2) = join(sF2,sF4),
    inference(superposition,[],[f710,f6]) ).

fof(f710,plain,
    join(a,sF2) = join(sF4,sF2),
    inference(superposition,[],[f150,f65]) ).

fof(f65,plain,
    sF2 = join(b,sF2),
    inference(superposition,[],[f52,f6]) ).

fof(f52,plain,
    sF2 = join(sF2,b),
    inference(superposition,[],[f40,f24]) ).

fof(f24,plain,
    b = meet(b,sF2),
    inference(superposition,[],[f3,f14]) ).

fof(f1734,plain,
    join(sF2,a) = join(sF2,sF4),
    inference(superposition,[],[f56,f1676]) ).

fof(f56,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
    inference(forward_demodulation,[],[f45,f8]) ).

fof(f45,plain,
    ! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
    inference(superposition,[],[f40,f3]) ).

fof(f6264,plain,
    meet(a,join(b,sF5)) = meet(a,join(sF2,meet(sF5,sF4))),
    inference(forward_demodulation,[],[f6263,f3696]) ).

fof(f3696,plain,
    ! [X0,X1] : meet(a,join(X0,meet(X1,join(X0,sF4)))) = meet(a,join(X0,meet(X1,sF4))),
    inference(superposition,[],[f9,f1662]) ).

fof(f1662,plain,
    ! [X0] : sF4 = join(sF4,meet(a,X0)),
    inference(superposition,[],[f1531,f5]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X1,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X0,X1))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6263,plain,
    meet(a,join(sF2,meet(sF5,join(sF2,sF4)))) = meet(a,join(b,sF5)),
    inference(forward_demodulation,[],[f6182,f3317]) ).

fof(f3317,plain,
    join(sF2,sF5) = join(b,sF5),
    inference(superposition,[],[f155,f2497]) ).

fof(f2497,plain,
    sF5 = join(sF1,sF5),
    inference(superposition,[],[f1743,f6]) ).

fof(f1743,plain,
    sF5 = join(sF5,sF1),
    inference(superposition,[],[f40,f1689]) ).

fof(f6182,plain,
    meet(a,join(sF2,meet(sF5,join(sF2,sF4)))) = meet(a,join(sF2,sF5)),
    inference(superposition,[],[f205,f460]) ).

fof(f460,plain,
    ! [X0] : sF5 = meet(sF5,join(sF4,X0)),
    inference(forward_demodulation,[],[f449,f17]) ).

fof(f449,plain,
    ! [X0] : meet(c,sF4) = meet(sF5,join(sF4,X0)),
    inference(superposition,[],[f87,f3]) ).

fof(f205,plain,
    ! [X0,X1] : meet(a,join(sF2,meet(X0,join(sF2,X1)))) = meet(a,join(sF2,meet(X0,join(X1,sF3)))),
    inference(superposition,[],[f9,f15]) ).

fof(f17477,plain,
    meet(a,join(sF2,sF7)) = meet(a,join(b,sF5)),
    inference(forward_demodulation,[],[f17476,f5890]) ).

fof(f17476,plain,
    meet(a,join(b,sF5)) = meet(a,join(sF2,meet(sF6,a))),
    inference(forward_demodulation,[],[f17475,f5205]) ).

fof(f17475,plain,
    meet(a,join(b,sF5)) = meet(a,join(sF2,meet(sF6,sF4))),
    inference(forward_demodulation,[],[f17474,f3696]) ).

fof(f17474,plain,
    meet(a,join(b,sF5)) = meet(a,join(sF2,meet(sF6,join(sF2,sF4)))),
    inference(forward_demodulation,[],[f17438,f4468]) ).

fof(f4468,plain,
    join(sF2,sF6) = join(b,sF5),
    inference(backward_demodulation,[],[f3083,f4467]) ).

fof(f4467,plain,
    join(b,sF6) = join(b,sF5),
    inference(forward_demodulation,[],[f4466,f1302]) ).

fof(f1302,plain,
    sF6 = join(sF5,sF3),
    inference(forward_demodulation,[],[f1250,f473]) ).

fof(f473,plain,
    sF6 = join(sF5,sF6),
    inference(superposition,[],[f318,f6]) ).

fof(f318,plain,
    sF6 = join(sF6,sF5),
    inference(superposition,[],[f40,f119]) ).

fof(f119,plain,
    sF5 = meet(sF5,sF6),
    inference(superposition,[],[f42,f18]) ).

fof(f1250,plain,
    join(sF5,sF3) = join(sF5,sF6),
    inference(superposition,[],[f56,f18]) ).

fof(f4466,plain,
    join(b,sF5) = join(b,join(sF5,sF3)),
    inference(forward_demodulation,[],[f4453,f8]) ).

fof(f4453,plain,
    join(b,sF5) = join(join(b,sF5),sF3),
    inference(superposition,[],[f40,f4250]) ).

fof(f4250,plain,
    sF3 = meet(sF3,join(b,sF5)),
    inference(superposition,[],[f354,f3317]) ).

fof(f354,plain,
    ! [X0] : sF3 = meet(sF3,join(sF2,X0)),
    inference(forward_demodulation,[],[f344,f15]) ).

fof(f344,plain,
    ! [X0] : meet(a,sF2) = meet(sF3,join(sF2,X0)),
    inference(superposition,[],[f83,f3]) ).

fof(f3083,plain,
    join(sF2,sF6) = join(b,sF6),
    inference(superposition,[],[f155,f2485]) ).

fof(f2485,plain,
    sF6 = join(sF1,sF6),
    inference(superposition,[],[f1738,f6]) ).

fof(f1738,plain,
    sF6 = join(sF6,sF1),
    inference(superposition,[],[f1027,f1689]) ).

fof(f1027,plain,
    ! [X0] : sF6 = join(sF6,meet(X0,sF5)),
    inference(forward_demodulation,[],[f1018,f18]) ).

fof(f1018,plain,
    ! [X0] : join(sF3,sF5) = join(sF6,meet(X0,sF5)),
    inference(superposition,[],[f161,f40]) ).

fof(f161,plain,
    ! [X0] : join(sF3,join(sF5,X0)) = join(sF6,X0),
    inference(superposition,[],[f8,f18]) ).

fof(f17438,plain,
    meet(a,join(sF2,meet(sF6,join(sF2,sF4)))) = meet(a,join(sF2,sF6)),
    inference(superposition,[],[f205,f17222]) ).

fof(f17222,plain,
    ! [X0] : sF6 = meet(sF6,join(sF4,X0)),
    inference(superposition,[],[f14008,f6]) ).

fof(f14008,plain,
    ! [X0] : sF6 = meet(sF6,join(X0,sF4)),
    inference(superposition,[],[f173,f4637]) ).

fof(f4637,plain,
    sF4 = join(sF4,sF6),
    inference(forward_demodulation,[],[f4636,f53]) ).

fof(f53,plain,
    sF4 = join(sF4,sF5),
    inference(superposition,[],[f40,f17]) ).

fof(f4636,plain,
    join(sF4,sF5) = join(sF4,sF6),
    inference(forward_demodulation,[],[f4623,f150]) ).

fof(f4623,plain,
    join(sF4,sF6) = join(a,join(b,sF5)),
    inference(superposition,[],[f150,f4467]) ).

fof(f173,plain,
    ! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
    inference(superposition,[],[f42,f8]) ).

fof(f215,plain,
    ! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,meet(X2,join(X1,X0)))),
    inference(superposition,[],[f9,f4]) ).

fof(f83,plain,
    ! [X0] : meet(a,meet(sF2,X0)) = meet(sF3,X0),
    inference(superposition,[],[f7,f15]) ).

fof(f190,plain,
    sF7 = meet(a,sF7),
    inference(superposition,[],[f112,f5]) ).

fof(f112,plain,
    sF7 = meet(sF7,a),
    inference(superposition,[],[f42,f31]) ).

fof(f31,plain,
    a = join(a,sF7),
    inference(superposition,[],[f4,f19]) ).

fof(f20,plain,
    sP0(sF7),
    inference(definition_folding,[],[f12,f19,f18,f17,f16,f15,f14,f13]) ).

fof(f12,plain,
    sP0(meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))),
    inference(inequality_splitting,[],[f10,f11]) ).

fof(f10,axiom,
    meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LAT164-1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.11/0.33  % Computer : n023.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   : Fri Jun 21 23:30:24 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.35  Running first-order theorem proving
% 0.11/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (13300)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (3000ds/313Mi)
% 0.20/0.41  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (13295)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (3000ds/224446Mi)
% 0.20/0.41  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (13298)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (3000ds/401Mi)
% 0.20/0.41  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (13299)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (3000ds/1122Mi)
% 0.20/0.41  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (13297)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (3000ds/140Mi)
% 0.20/0.41  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (13296)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (3000ds/107Mi)
% 0.20/0.41  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (13294)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (3000ds/125345Mi)
% 0.20/0.47  % (13296)Instruction limit reached!
% 0.20/0.47  % (13296)------------------------------
% 0.20/0.47  % (13296)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47  % (13296)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47  % (13296)Termination reason: Time limit
% 0.20/0.47  % (13296)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (13296)Memory used [KB]: 1987
% 0.20/0.47  % (13296)Time elapsed: 0.059 s
% 0.20/0.47  % (13296)Instructions burned: 107 (million)
% 0.20/0.49  % (13297)Instruction limit reached!
% 0.20/0.49  % (13297)------------------------------
% 0.20/0.49  % (13297)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49  % (13297)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49  % (13297)Termination reason: Time limit
% 0.20/0.49  % (13297)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (13297)Memory used [KB]: 1842
% 0.20/0.49  % (13297)Time elapsed: 0.076 s
% 0.20/0.49  % (13297)Instructions burned: 140 (million)
% 0.20/0.53  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53  % (13301)dis+10_1:9_bsr=unit_only:slsqr=31,32:sil=256000:tgt=full:urr=on:slsqc=2:slsq=on:i=1149:s2at=5.0:slsql=off:ins=1:rawr=on:fd=preordered:drc=encompass_0 on theBenchmark for (2998ds/1149Mi)
% 0.20/0.55  % (13293)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.55  % (13302)lrs+10_1:10_drc=encompass:sil=2000:tgt=ground:plsq=on:plsqr=92626939,1048576:sp=occurrence:fd=preordered:i=1914:kws=precedence:ins=8:rawr=on_0 on theBenchmark for (2998ds/1914Mi)
% 0.20/0.58  % (13300)Instruction limit reached!
% 0.20/0.58  % (13300)------------------------------
% 0.20/0.58  % (13300)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.58  % (13300)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.58  % (13300)Termination reason: Time limit
% 0.20/0.58  % (13300)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (13300)Memory used [KB]: 3974
% 0.20/0.58  % (13300)Time elapsed: 0.166 s
% 0.20/0.58  % (13300)Instructions burned: 313 (million)
% 1.87/0.62  % (13298)Instruction limit reached!
% 1.87/0.62  % (13298)------------------------------
% 1.87/0.62  % (13298)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.87/0.62  % (13298)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.87/0.62  % (13298)Termination reason: Time limit
% 1.87/0.62  % (13298)Termination phase: Saturation
% 1.87/0.62  
% 1.87/0.62  % (13298)Memory used [KB]: 4928
% 1.87/0.62  % (13298)Time elapsed: 0.213 s
% 1.87/0.62  % (13298)Instructions burned: 401 (million)
% 2.08/0.64  % (13293)Running in auto input_syntax mode. Trying TPTP
% 2.08/0.64  % (13303)lrs+10_16:1_bsr=on:drc=encompass:sil=64000:i=281:bd=off:to=lpo_0 on theBenchmark for (2997ds/281Mi)
% 2.08/0.69  % (13293)Running in auto input_syntax mode. Trying TPTP
% 2.08/0.69  % (13304)lrs+10_1:64_drc=encompass:sil=2000:fde=none:sp=reverse_arity:s2a=on:i=1826:ins=2:dpc=on:awrs=decay:awrsf=200_0 on theBenchmark for (2997ds/1826Mi)
% 2.87/0.77  % (13303)Instruction limit reached!
% 2.87/0.77  % (13303)------------------------------
% 2.87/0.77  % (13303)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.87/0.77  % (13303)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.87/0.77  % (13303)Termination reason: Time limit
% 2.87/0.77  % (13303)Termination phase: Saturation
% 2.87/0.77  
% 2.87/0.77  % (13303)Memory used [KB]: 2998
% 2.87/0.77  % (13303)Time elapsed: 0.134 s
% 2.87/0.77  % (13303)Instructions burned: 281 (million)
% 2.87/0.83  % (13293)Running in auto input_syntax mode. Trying TPTP
% 2.87/0.83  % (13305)dis+10_1:1024_slsqr=7,2:to=lpo:sil=256000:tgt=full:s2agt=8:slsqc=1:slsq=on:s2a=on:i=807:rawr=on_0 on theBenchmark for (2995ds/807Mi)
% 3.50/0.90  % (13299)Instruction limit reached!
% 3.50/0.90  % (13299)------------------------------
% 3.50/0.90  % (13299)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.50/0.90  % (13299)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.50/0.90  % (13299)Termination reason: Time limit
% 3.50/0.90  % (13299)Termination phase: Saturation
% 3.50/0.90  
% 3.50/0.90  % (13299)Memory used [KB]: 6557
% 3.50/0.90  % (13299)Time elapsed: 0.487 s
% 3.50/0.90  % (13299)Instructions burned: 1123 (million)
% 3.70/0.96  % (13293)Running in auto input_syntax mode. Trying TPTP
% 3.70/0.96  % (13306)dis+10_1:14_bsr=unit_only:to=lpo:drc=encompass:sil=256000:tgt=ground:urr=on:slsq=on:i=519:awrs=converge:awrsf=50:rawr=on:fsr=off_0 on theBenchmark for (2994ds/519Mi)
% 4.23/1.08  % (13301)Instruction limit reached!
% 4.23/1.08  % (13301)------------------------------
% 4.23/1.08  % (13301)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.23/1.08  % (13301)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.23/1.08  % (13301)Termination reason: Time limit
% 4.23/1.08  % (13301)Termination phase: Saturation
% 4.23/1.08  
% 4.23/1.08  % (13301)Memory used [KB]: 13963
% 4.23/1.08  % (13301)Time elapsed: 0.554 s
% 4.23/1.08  % (13301)Instructions burned: 1151 (million)
% 4.23/1.15  % (13293)Running in auto input_syntax mode. Trying TPTP
% 4.23/1.15  % (13307)lrs+10_1:1_to=lpo:drc=encompass:sil=8000:tgt=full:sp=const_frequency:i=525:lwlo=on:nwc=10.0_0 on theBenchmark for (2992ds/525Mi)
% 6.10/1.22  % (13306)Instruction limit reached!
% 6.10/1.22  % (13306)------------------------------
% 6.10/1.22  % (13306)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.10/1.22  % (13306)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.10/1.22  % (13306)Termination reason: Time limit
% 6.10/1.22  % (13306)Termination phase: Saturation
% 6.10/1.22  
% 6.10/1.22  % (13306)Memory used [KB]: 5270
% 6.10/1.22  % (13306)Time elapsed: 0.258 s
% 6.10/1.22  % (13306)Instructions burned: 520 (million)
% 6.10/1.24  % (13305)Instruction limit reached!
% 6.10/1.24  % (13305)------------------------------
% 6.10/1.24  % (13305)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.10/1.24  % (13305)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.10/1.24  % (13305)Termination reason: Time limit
% 6.10/1.24  % (13305)Termination phase: Saturation
% 6.10/1.24  
% 6.10/1.24  % (13305)Memory used [KB]: 7739
% 6.10/1.24  % (13305)Time elapsed: 0.404 s
% 6.10/1.24  % (13305)Instructions burned: 808 (million)
% 6.35/1.29  % (13293)Running in auto input_syntax mode. Trying TPTP
% 6.35/1.29  % (13308)lrs+10_1:32_drc=encompass:sil=256000:tgt=ground:sp=reverse_frequency:s2a=on:i=4287:s2at=5.0:kws=precedence_0 on theBenchmark for (2991ds/4287Mi)
% 6.35/1.30  % (13293)Running in auto input_syntax mode. Trying TPTP
% 6.35/1.30  % (13309)lrs+10_1:1024_sil=2000:tgt=ground:plsq=on:sp=frequency:s2a=on:i=1997:kws=precedence:rawr=on:bd=off:awrs=converge:awrsf=10:ins=2_0 on theBenchmark for (2991ds/1997Mi)
% 7.04/1.42  % (13307)Instruction limit reached!
% 7.04/1.42  % (13307)------------------------------
% 7.04/1.42  % (13307)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.04/1.42  % (13307)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.04/1.42  % (13307)Termination reason: Time limit
% 7.04/1.42  % (13307)Termination phase: Saturation
% 7.04/1.42  
% 7.04/1.42  % (13307)Memory used [KB]: 4640
% 7.04/1.42  % (13307)Time elapsed: 0.274 s
% 7.04/1.42  % (13307)Instructions burned: 526 (million)
% 7.39/1.49  % (13293)Running in auto input_syntax mode. Trying TPTP
% 7.39/1.49  % (13311)dis+10_1:3_to=lpo:drc=encompass:sil=256000:tgt=ground:i=637:fsr=off_0 on theBenchmark for (2989ds/637Mi)
% 7.59/1.52  % (13304)Instruction limit reached!
% 7.59/1.52  % (13304)------------------------------
% 7.59/1.52  % (13304)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.59/1.52  % (13304)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.59/1.52  % (13304)Termination reason: Time limit
% 7.59/1.52  % (13304)Termination phase: Saturation
% 7.59/1.52  
% 7.59/1.52  % (13304)Memory used [KB]: 4757
% 7.59/1.52  % (13304)Time elapsed: 0.836 s
% 7.59/1.52  % (13304)Instructions burned: 1827 (million)
% 7.73/1.58  % (13302)Instruction limit reached!
% 7.73/1.58  % (13302)------------------------------
% 7.73/1.58  % (13302)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.73/1.58  % (13302)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.73/1.58  % (13302)Termination reason: Time limit
% 7.73/1.58  % (13302)Termination phase: Saturation
% 7.73/1.58  
% 7.73/1.58  % (13302)Memory used [KB]: 14575
% 7.73/1.58  % (13302)Time elapsed: 1.032 s
% 7.73/1.58  % (13302)Instructions burned: 1914 (million)
% 7.73/1.59  % (13293)Running in auto input_syntax mode. Trying TPTP
% 7.73/1.59  % (13312)lrs+10_1:512_sil=4000:tgt=ground:sp=reverse_frequency:s2a=on:i=702:bs=unit_only:bd=off:ss=axioms:rawr=on:slsq=on:slsqc=3:slsqr=19,8_0 on theBenchmark for (2988ds/702Mi)
% 7.94/1.65  % (13293)Running in auto input_syntax mode. Trying TPTP
% 7.94/1.65  % (13313)lrs+10_1:4_drc=encompass:sil=16000:lwlo=on:st=-1.0:i=6272:ss=axioms_0 on theBenchmark for (2987ds/6272Mi)
% 10.06/1.78  % (13311)Instruction limit reached!
% 10.06/1.78  % (13311)------------------------------
% 10.06/1.78  % (13311)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.06/1.78  % (13311)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.06/1.78  % (13311)Termination reason: Time limit
% 10.06/1.78  % (13311)Termination phase: Saturation
% 10.06/1.78  
% 10.06/1.78  % (13311)Memory used [KB]: 6749
% 10.06/1.78  % (13311)Time elapsed: 0.297 s
% 10.06/1.78  % (13311)Instructions burned: 638 (million)
% 10.51/1.85  % (13293)Running in auto input_syntax mode. Trying TPTP
% 10.51/1.85  % (13314)lrs+10_1:10_drc=encompass:sil=16000:tgt=ground:plsq=on:fd=preordered:i=10171:bd=preordered:ins=1:rawr=on:ss=axioms:sgt=16_0 on theBenchmark for (2985ds/10171Mi)
% 11.19/1.97  % (13312)Instruction limit reached!
% 11.19/1.97  % (13312)------------------------------
% 11.19/1.97  % (13312)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.19/1.97  % (13312)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.19/1.97  % (13312)Termination reason: Time limit
% 11.19/1.97  % (13312)Termination phase: Saturation
% 11.19/1.97  
% 11.19/1.97  % (13312)Memory used [KB]: 6642
% 11.19/1.97  % (13312)Time elapsed: 0.375 s
% 11.19/1.97  % (13312)Instructions burned: 702 (million)
% 11.19/2.03  % (13293)Running in auto input_syntax mode. Trying TPTP
% 11.19/2.03  % (13315)lrs+10_7:24_to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:i=1061:irc=lazy:slsq=on:fdi=256:nwc=10.0:dpc=on:ss=included:st=2.0_0 on theBenchmark for (2983ds/1061Mi)
% 12.48/2.28  % (13309)Instruction limit reached!
% 12.48/2.28  % (13309)------------------------------
% 12.48/2.28  % (13309)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.48/2.28  % (13309)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.48/2.28  % (13309)Termination reason: Time limit
% 12.48/2.28  % (13309)Termination phase: Saturation
% 12.48/2.28  
% 12.48/2.28  % (13309)Memory used [KB]: 9853
% 12.48/2.28  % (13309)Time elapsed: 0.980 s
% 12.48/2.28  % (13309)Instructions burned: 1998 (million)
% 13.61/2.34  % (13293)Running in auto input_syntax mode. Trying TPTP
% 13.61/2.34  % (13316)lrs+10_1:14_slsqr=3,4:drc=encompass:sil=4000:tgt=ground:sp=const_max:s2agt=16:slsqc=3:slsq=on:i=1157:kws=precedence:slsql=off:irc=lazy:rawr=on_0 on theBenchmark for (2980ds/1157Mi)
% 14.50/2.49  % (13314)First to succeed.
% 14.50/2.49  % (13314)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13293"
% 14.93/2.50  % (13293)Running in auto input_syntax mode. Trying TPTP
% 14.93/2.50  % (13314)Refutation found. Thanks to Tanya!
% 14.93/2.50  % SZS status Unsatisfiable for theBenchmark
% 14.93/2.50  % SZS output start Proof for theBenchmark
% See solution above
% 14.93/2.50  % (13314)------------------------------
% 14.93/2.50  % (13314)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.93/2.50  % (13314)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.93/2.50  % (13314)Termination reason: Refutation
% 14.93/2.50  
% 14.93/2.50  % (13314)Memory used [KB]: 11182
% 14.93/2.50  % (13314)Time elapsed: 0.645 s
% 14.93/2.50  % (13314)Instructions burned: 1128 (million)
% 14.93/2.50  % (13314)------------------------------
% 14.93/2.50  % (13314)------------------------------
% 14.93/2.50  % (13293)Success in time 2.131 s
%------------------------------------------------------------------------------