TSTP Solution File: LAT021-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LAT021-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%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 : Tue Apr 30 20:25:12 EDT 2024

% Result   : Unsatisfiable 8.20s 1.41s
% Output   : CNFRefutation 8.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  119 ( 119 unt;   0 def)
%            Number of atoms       :  119 ( 118 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  323 ( 323   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : meet(X,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] : join(X,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] : meet(X,Y) = meet(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y] : join(X,Y) = join(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y,Z] : join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y,Z] : meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    ! [X,Y,Z] : join(join(X,meet(Y,Z)),meet(join(X,Y),Z)) = join(X,meet(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f11,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f12,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f13,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f14,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f15,plain,
    ! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f16,plain,
    ! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f17,plain,
    ! [X0,X1,X2] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f18,plain,
    ! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f19,plain,
    ! [X0,X1,X2] : join(join(X0,meet(X1,X2)),meet(join(X0,X1),X2)) = join(X0,meet(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f20,plain,
    meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f21,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f14,f17]) ).

fof(f22,plain,
    ! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f13,f18]) ).

fof(f23,plain,
    ! [X0,X1,X2] : join(X0,join(meet(X1,X2),meet(join(X0,X1),X2))) = join(X0,meet(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f16,f19]) ).

fof(f24,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
    inference(paramodulation,[status(thm)],[f13,f15]) ).

fof(f30,plain,
    ! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
    inference(paramodulation,[status(thm)],[f13,f15]) ).

fof(f31,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f15,f30]) ).

fof(f34,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f11,f15]) ).

fof(f44,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
    inference(paramodulation,[status(thm)],[f13,f34]) ).

fof(f55,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X2,X0))),
    inference(paramodulation,[status(thm)],[f15,f44]) ).

fof(f72,plain,
    ! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(meet(X1,X0),X2)),
    inference(paramodulation,[status(thm)],[f44,f15]) ).

fof(f73,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(meet(X1,X0),X2)),
    inference(forward_demodulation,[status(thm)],[f15,f72]) ).

fof(f74,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X0,X2))),
    inference(forward_demodulation,[status(thm)],[f15,f73]) ).

fof(f77,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
    inference(paramodulation,[status(thm)],[f14,f16]) ).

fof(f83,plain,
    ! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
    inference(paramodulation,[status(thm)],[f14,f16]) ).

fof(f84,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f16,f83]) ).

fof(f87,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
    inference(paramodulation,[status(thm)],[f12,f16]) ).

fof(f97,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
    inference(paramodulation,[status(thm)],[f14,f87]) ).

fof(f108,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X1,join(X2,X0))),
    inference(paramodulation,[status(thm)],[f16,f97]) ).

fof(f125,plain,
    ! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(join(X1,X0),X2)),
    inference(paramodulation,[status(thm)],[f97,f16]) ).

fof(f126,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(join(X1,X0),X2)),
    inference(forward_demodulation,[status(thm)],[f16,f125]) ).

fof(f127,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X1,join(X0,X2))),
    inference(forward_demodulation,[status(thm)],[f16,f126]) ).

fof(f151,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X2,meet(X1,X0)),
    inference(paramodulation,[status(thm)],[f13,f24]) ).

fof(f210,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,meet(X0,X1))),
    inference(paramodulation,[status(thm)],[f24,f34]) ).

fof(f211,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f74,f210]) ).

fof(f245,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
    inference(paramodulation,[status(thm)],[f14,f77]) ).

fof(f304,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,join(X0,X1))),
    inference(paramodulation,[status(thm)],[f77,f87]) ).

fof(f305,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f127,f304]) ).

fof(f653,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(X1,join(X0,X2))) = meet(X1,join(X0,X2)),
    inference(paramodulation,[status(thm)],[f13,f21]) ).

fof(f655,plain,
    ! [X0,X1] : join(X0,meet(X0,join(X0,X1))) = meet(X0,join(X0,X1)),
    inference(paramodulation,[status(thm)],[f11,f21]) ).

fof(f661,plain,
    ! [X0,X1] : join(meet(join(X0,X1),X0),join(X0,X1)) = meet(join(X0,X1),join(X0,X1)),
    inference(paramodulation,[status(thm)],[f11,f21]) ).

fof(f662,plain,
    ! [X0,X1] : join(X0,join(meet(join(X0,X1),X0),X1)) = meet(join(X0,X1),join(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f84,f661]) ).

fof(f663,plain,
    ! [X0,X1] : join(X0,join(X1,meet(join(X0,X1),X0))) = meet(join(X0,X1),join(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f305,f662]) ).

fof(f664,plain,
    ! [X0,X1] : join(X0,join(X1,meet(X0,join(X0,X1)))) = meet(join(X0,X1),join(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f13,f663]) ).

fof(f665,plain,
    ! [X0,X1] : join(X0,join(X1,meet(X0,join(X0,X1)))) = join(X0,X1),
    inference(forward_demodulation,[status(thm)],[f11,f664]) ).

fof(f679,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(X0,join(X2,X1))) = meet(X0,join(X1,X2)),
    inference(paramodulation,[status(thm)],[f14,f21]) ).

fof(f706,plain,
    ! [X0,X1,X2] : meet(join(X0,X1),join(X1,meet(X0,X2))) = join(X1,meet(X0,X2)),
    inference(paramodulation,[status(thm)],[f14,f22]) ).

fof(f708,plain,
    ! [X0,X1] : meet(X0,join(X0,meet(X0,X1))) = join(X0,meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f12,f22]) ).

fof(f718,plain,
    ! [X0,X1] : meet(join(meet(X0,X1),X0),meet(X0,X1)) = join(meet(X0,X1),meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f12,f22]) ).

fof(f719,plain,
    ! [X0,X1] : meet(X0,meet(join(meet(X0,X1),X0),X1)) = join(meet(X0,X1),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f31,f718]) ).

fof(f720,plain,
    ! [X0,X1] : meet(X0,meet(X1,join(meet(X0,X1),X0))) = join(meet(X0,X1),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f211,f719]) ).

fof(f721,plain,
    ! [X0,X1] : meet(X0,meet(X1,join(X0,meet(X0,X1)))) = join(meet(X0,X1),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f14,f720]) ).

fof(f722,plain,
    ! [X0,X1] : meet(X0,meet(X1,join(X0,meet(X0,X1)))) = meet(X0,X1),
    inference(forward_demodulation,[status(thm)],[f12,f721]) ).

fof(f738,plain,
    ! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X1,X2)),
    inference(paramodulation,[status(thm)],[f13,f22]) ).

fof(f753,plain,
    ! [X0,X1,X2,X3] : meet(join(X0,X1),meet(X2,join(X0,meet(X1,X3)))) = meet(X2,join(X0,meet(X1,X3))),
    inference(paramodulation,[status(thm)],[f22,f31]) ).

fof(f1188,plain,
    ! [X0,X1] : join(X0,meet(X0,join(X1,X0))) = meet(X0,join(X0,X1)),
    inference(paramodulation,[status(thm)],[f14,f655]) ).

fof(f1201,plain,
    ! [X0,X1,X2] : join(meet(X0,join(X0,X1)),join(X2,X0)) = join(meet(X0,join(X0,X1)),join(X2,meet(X0,join(X0,X1)))),
    inference(paramodulation,[status(thm)],[f655,f108]) ).

fof(f1202,plain,
    ! [X0,X1,X2] : join(X0,join(X1,meet(X0,join(X0,X2)))) = join(meet(X0,join(X0,X2)),join(X1,meet(X0,join(X0,X2)))),
    inference(forward_demodulation,[status(thm)],[f245,f1201]) ).

fof(f1203,plain,
    ! [X0,X1,X2] : join(X0,join(X1,meet(X0,join(X0,X2)))) = join(meet(X0,join(X0,X2)),X1),
    inference(forward_demodulation,[status(thm)],[f97,f1202]) ).

fof(f1227,plain,
    ! [X0,X1] : join(meet(X0,join(X0,X1)),X1) = join(X0,X1),
    inference(backward_demodulation,[status(thm)],[f1203,f665]) ).

fof(f1228,plain,
    ! [X0,X1] : join(X0,meet(X1,join(X1,X0))) = join(X1,X0),
    inference(forward_demodulation,[status(thm)],[f14,f1227]) ).

fof(f1236,plain,
    ! [X0,X1,X2] : join(meet(X0,join(X1,X2)),meet(meet(X0,X1),meet(X0,join(X1,X2)))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
    inference(paramodulation,[status(thm)],[f21,f1228]) ).

fof(f1237,plain,
    ! [X0,X1,X2] : join(meet(X0,join(X1,X2)),meet(X0,meet(X1,meet(X0,join(X1,X2))))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
    inference(forward_demodulation,[status(thm)],[f15,f1236]) ).

fof(f1238,plain,
    ! [X0,X1,X2] : join(meet(X0,join(X1,X2)),meet(X0,meet(X1,join(X1,X2)))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
    inference(forward_demodulation,[status(thm)],[f74,f1237]) ).

fof(f1239,plain,
    ! [X0,X1,X2] : join(meet(X0,join(X1,X2)),meet(X0,meet(X1,join(X1,X2)))) = meet(X0,join(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f21,f1238]) ).

fof(f1300,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(X0,join(X2,X1))) = meet(X0,join(X1,meet(X2,join(X2,X1)))),
    inference(paramodulation,[status(thm)],[f1228,f21]) ).

fof(f1301,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X2,join(X2,X1)))),
    inference(forward_demodulation,[status(thm)],[f679,f1300]) ).

fof(f1302,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f1228,f1301]) ).

fof(f1594,plain,
    ! [X0,X1,X2,X3] : meet(X0,meet(X1,join(X2,X3))) = meet(meet(X0,X1),join(X3,X2)),
    inference(paramodulation,[status(thm)],[f15,f1302]) ).

fof(f1595,plain,
    ! [X0,X1,X2,X3] : meet(X0,meet(X1,join(X2,X3))) = meet(X0,meet(X1,join(X3,X2))),
    inference(forward_demodulation,[status(thm)],[f15,f1594]) ).

fof(f1903,plain,
    ! [X0,X1] : meet(X0,join(X0,meet(X1,X0))) = join(X0,meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f13,f708]) ).

fof(f1931,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,join(X0,meet(X0,X2)))) = meet(X1,join(X0,meet(X0,X2))),
    inference(paramodulation,[status(thm)],[f708,f31]) ).

fof(f1944,plain,
    ! [X0,X1] : meet(X0,join(X1,meet(X1,X0))) = meet(X1,X0),
    inference(backward_demodulation,[status(thm)],[f1931,f722]) ).

fof(f2038,plain,
    ! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X1,join(X2,meet(X2,X1)))),
    inference(paramodulation,[status(thm)],[f1944,f22]) ).

fof(f2039,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X1,join(X2,meet(X2,X1)))),
    inference(forward_demodulation,[status(thm)],[f738,f2038]) ).

fof(f2040,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f1944,f2039]) ).

fof(f2894,plain,
    ! [X0,X1,X2] : join(X0,join(meet(X1,X2),meet(join(X1,X0),X2))) = join(X0,meet(X1,X2)),
    inference(paramodulation,[status(thm)],[f14,f23]) ).

fof(f3227,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(join(X0,X2),X1)) = meet(X1,join(X0,X2)),
    inference(paramodulation,[status(thm)],[f2040,f653]) ).

fof(f3436,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,join(X2,X0))) = join(X0,meet(X2,X1)),
    inference(backward_demodulation,[status(thm)],[f3227,f2894]) ).

fof(f3455,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f3436,f1188]) ).

fof(f3475,plain,
    ! [X0,X1] : meet(X0,meet(X0,join(X0,X1))) = join(X0,meet(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f3455,f1903]) ).

fof(f3476,plain,
    ! [X0,X1] : meet(X0,join(X0,X1)) = join(X0,meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f34,f3475]) ).

fof(f3562,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(X0,meet(X2,X1))) = meet(meet(X0,X1),join(meet(X0,X1),X2)),
    inference(paramodulation,[status(thm)],[f31,f3455]) ).

fof(f3563,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(X0,meet(X2,X1))) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
    inference(forward_demodulation,[status(thm)],[f15,f3562]) ).

fof(f3667,plain,
    ! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(meet(X0,join(X1,X2)),X1))) = meet(X0,join(X1,X2)),
    inference(backward_demodulation,[status(thm)],[f3563,f1239]) ).

fof(f3668,plain,
    ! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(X1,meet(X0,join(X1,X2))))) = meet(X0,join(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f1595,f3667]) ).

fof(f4274,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X2,X1)),
    inference(paramodulation,[status(thm)],[f1302,f3436]) ).

fof(f4303,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(X2,meet(X0,join(X0,X1)))) = join(meet(X0,X1),meet(X0,X2)),
    inference(paramodulation,[status(thm)],[f3476,f3436]) ).

fof(f4479,plain,
    ! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(X1,meet(X2,X0)))) = meet(X0,join(X1,X2)),
    inference(backward_demodulation,[status(thm)],[f4274,f3668]) ).

fof(f4480,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f22,f4479]) ).

fof(f5309,plain,
    ! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X1,X2))) = meet(join(X0,X1),join(X0,X2)),
    inference(paramodulation,[status(thm)],[f4274,f4480]) ).

fof(f5310,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f22,f5309]) ).

fof(f5311,plain,
    ! [X0,X1,X2] : meet(join(X0,X1),join(X1,meet(X0,X2))) = meet(join(X0,X1),join(X1,X2)),
    inference(paramodulation,[status(thm)],[f3436,f4480]) ).

fof(f5312,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f706,f5311]) ).

fof(f5316,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,X2)),
    inference(paramodulation,[status(thm)],[f2040,f4480]) ).

fof(f6253,plain,
    ! [X0,X1,X2,X3] : meet(join(X0,X1),meet(X2,join(X0,X3))) = meet(join(X0,X1),meet(X2,join(X0,meet(X1,X3)))),
    inference(paramodulation,[status(thm)],[f5310,f74]) ).

fof(f6254,plain,
    ! [X0,X1,X2,X3] : meet(join(X0,X1),meet(X2,join(X0,X3))) = meet(X2,join(X0,meet(X1,X3))),
    inference(forward_demodulation,[status(thm)],[f753,f6253]) ).

fof(f6578,plain,
    ! [X0,X1,X2,X3] : meet(join(X0,X1),meet(X2,join(X3,X0))) = meet(join(X0,X1),meet(X2,join(X0,meet(X3,X1)))),
    inference(paramodulation,[status(thm)],[f5312,f55]) ).

fof(f6579,plain,
    ! [X0,X1,X2,X3] : meet(join(X0,X1),meet(X2,join(X3,X0))) = meet(X2,join(X0,meet(X1,meet(X3,X1)))),
    inference(forward_demodulation,[status(thm)],[f6254,f6578]) ).

fof(f6580,plain,
    ! [X0,X1,X2,X3] : meet(join(X0,X1),meet(X2,join(X3,X0))) = meet(X2,join(X0,meet(X1,X3))),
    inference(forward_demodulation,[status(thm)],[f44,f6579]) ).

fof(f7026,plain,
    ! [X0,X1,X2,X3] : meet(join(X0,meet(X1,X2)),meet(X1,X3)) = meet(X3,meet(X1,join(X0,X2))),
    inference(paramodulation,[status(thm)],[f5316,f151]) ).

fof(f7027,plain,
    ! [X0,X1,X2,X3] : meet(X0,meet(join(X1,meet(X0,X2)),X3)) = meet(X3,meet(X0,join(X1,X2))),
    inference(forward_demodulation,[status(thm)],[f31,f7026]) ).

fof(f7620,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,meet(X0,join(X3,X1)))) = meet(join(X2,meet(X0,X1)),meet(X0,join(X1,X3))),
    inference(paramodulation,[status(thm)],[f679,f5312]) ).

fof(f7621,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,meet(X0,join(X3,X1)))) = meet(X0,meet(join(X2,meet(X0,X1)),join(X1,X3))),
    inference(forward_demodulation,[status(thm)],[f31,f7620]) ).

fof(f7622,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,meet(X0,join(X3,X1)))) = meet(join(X1,X3),meet(X0,join(X2,X1))),
    inference(forward_demodulation,[status(thm)],[f7027,f7621]) ).

fof(f7623,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,meet(X0,join(X3,X1)))) = meet(X0,join(X1,meet(X3,X2))),
    inference(forward_demodulation,[status(thm)],[f6580,f7622]) ).

fof(f7715,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,X1),meet(X0,X2)),
    inference(backward_demodulation,[status(thm)],[f7623,f4303]) ).

fof(f7716,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f5316,f7715]) ).

fof(f7741,plain,
    meet(a,join(b,c)) != meet(a,join(b,c)),
    inference(backward_demodulation,[status(thm)],[f7716,f20]) ).

fof(f7742,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f7741]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LAT021-1 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 20:21:19 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 8.20/1.41  % Refutation found
% 8.20/1.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.20/1.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.20/1.44  % Elapsed time: 1.082254 seconds
% 8.20/1.44  % CPU time: 8.484109 seconds
% 8.20/1.44  % Total memory used: 73.594 MB
% 8.20/1.44  % Net memory used: 72.324 MB
%------------------------------------------------------------------------------