↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : LAT010-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:02:04 PM UTC 2026

% Result   : Unsatisfiable 4.88s 1.10s
% Output   : CNFRefutation 4.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   95 (  95 unt;   0 def)
%            Number of atoms       :   95 (  94 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    9 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  257 ( 257   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : meet(X,X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] : join(X,X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

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

fof(f7,axiom,
    ! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    ! [X,Y,Z,U] : meet(X,join(Y,meet(Z,join(X,U)))) = join(meet(X,join(Y,meet(X,Z))),meet(X,join(meet(X,Y),meet(Z,U)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    ! [X,Y,Z,U] : join(X,meet(Y,join(Z,meet(X,U)))) = meet(join(X,meet(Y,join(X,Z))),join(X,meet(join(X,Y),join(Z,U)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    ! [X,Y,Z] : meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) = join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    meet(a,meet(join(b,c),join(b,d))) != meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f14,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f15,plain,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f16,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f17,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f18,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f19,plain,
    ! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f20,plain,
    ! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),meet(X2,X3)))),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3] : join(X0,meet(X1,join(X2,meet(X0,X3)))) = meet(join(X0,meet(X1,join(X0,X2))),join(X0,meet(join(X0,X1),join(X2,X3)))),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f23,plain,
    ! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1))) = join(meet(X2,join(X0,meet(X1,X2))),meet(X0,join(X1,X2))),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f24,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f40,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),
    inference(forward_demodulation,[status(thm)],[f19,f24]) ).

fof(f41,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))),
    inference(forward_demodulation,[status(thm)],[f19,f40]) ).

fof(f53,plain,
    ! [X0,X1] : meet(X0,join(X1,X0)) = X0,
    inference(paramodulation,[status(thm)],[f18,f15]) ).

fof(f113,plain,
    ! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
    inference(paramodulation,[status(thm)],[f18,f20]) ).

fof(f115,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
    inference(paramodulation,[status(thm)],[f14,f20]) ).

fof(f117,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
    inference(paramodulation,[status(thm)],[f20,f53]) ).

fof(f128,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
    inference(paramodulation,[status(thm)],[f18,f115]) ).

fof(f148,plain,
    ! [X0,X1,X2] : meet(X0,join(join(X1,X0),X2)) = X0,
    inference(paramodulation,[status(thm)],[f18,f117]) ).

fof(f153,plain,
    ! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X0)) = meet(X0,X1),
    inference(paramodulation,[status(thm)],[f16,f117]) ).

fof(f161,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,join(X0,X2))) = X0,
    inference(forward_demodulation,[status(thm)],[f20,f148]) ).

fof(f163,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X0,X1),
    inference(forward_demodulation,[status(thm)],[f19,f153]) ).

fof(f166,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,join(X2,join(X0,X3)))) = X0,
    inference(paramodulation,[status(thm)],[f20,f161]) ).

fof(f201,plain,
    ! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
    inference(paramodulation,[status(thm)],[f128,f53]) ).

fof(f233,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f13,f19]) ).

fof(f318,plain,
    ! [X0,X1,X2] : meet(X0,meet(X1,join(X0,X2))) = meet(X0,X1),
    inference(paramodulation,[status(thm)],[f18,f163]) ).

fof(f381,plain,
    ! [X0,X1] : join(X0,X1) = meet(join(X1,X0),join(X0,X1)),
    inference(paramodulation,[status(thm)],[f201,f17]) ).

fof(f394,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(c,a),meet(a,d)))))),
    inference(paramodulation,[status(thm)],[f17,f41]) ).

fof(f397,plain,
    ! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
    inference(paramodulation,[status(thm)],[f17,f19]) ).

fof(f399,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = X0,
    inference(paramodulation,[status(thm)],[f17,f16]) ).

fof(f422,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(meet(X0,X2),join(X0,X3)))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),meet(meet(X0,X2),X3)))),
    inference(paramodulation,[status(thm)],[f233,f21]) ).

fof(f435,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X2,X3),meet(X0,X1)))),
    inference(paramodulation,[status(thm)],[f18,f21]) ).

fof(f455,plain,
    ! [X0,X1,X2,X3,X4] : meet(X0,join(X1,meet(X2,join(X0,join(X3,join(X2,X4)))))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),X2))),
    inference(paramodulation,[status(thm)],[f161,f21]) ).

fof(f495,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X0,meet(X2,join(X0,X3))))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),meet(meet(X0,X2),X3)))),
    inference(forward_demodulation,[status(thm)],[f19,f422]) ).

fof(f496,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),meet(meet(X0,X2),X3)))),
    inference(forward_demodulation,[status(thm)],[f318,f495]) ).

fof(f497,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),meet(X0,meet(X2,X3))))),
    inference(forward_demodulation,[status(thm)],[f19,f496]) ).

fof(f574,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),X2))),
    inference(forward_demodulation,[status(thm)],[f166,f455]) ).

fof(f593,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
    inference(paramodulation,[status(thm)],[f19,f399]) ).

fof(f605,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X2,join(X0,meet(X0,X1))))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,meet(X0,X1))),
    inference(paramodulation,[status(thm)],[f399,f21]) ).

fof(f626,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,meet(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f16,f605]) ).

fof(f627,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f233,f626]) ).

fof(f642,plain,
    ! [X0,X1,X2] : join(X0,meet(meet(X1,X0),X2)) = X0,
    inference(paramodulation,[status(thm)],[f17,f593]) ).

fof(f672,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = X0,
    inference(forward_demodulation,[status(thm)],[f19,f642]) ).

fof(f887,plain,
    ! [X0,X1] : join(meet(X0,X1),X1) = meet(X1,join(meet(X0,X1),X1)),
    inference(paramodulation,[status(thm)],[f399,f381]) ).

fof(f942,plain,
    ! [X0,X1] : join(meet(X0,X1),X1) = X1,
    inference(forward_demodulation,[status(thm)],[f53,f887]) ).

fof(f1011,plain,
    ! [X0,X1,X2] : join(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X1,join(X2,X0)),
    inference(paramodulation,[status(thm)],[f163,f942]) ).

fof(f1569,plain,
    ! [X0,X1,X2,X3] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,meet(X2,join(X3,meet(X0,X1))))),
    inference(paramodulation,[status(thm)],[f163,f397]) ).

fof(f1630,plain,
    ! [X0,X1,X2,X3] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X2,join(X3,meet(X1,X0))))),
    inference(forward_demodulation,[status(thm)],[f397,f1569]) ).

fof(f2092,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(meet(X0,X1),X3)))) = meet(join(meet(X0,X1),meet(X1,join(meet(X0,X1),X2))),join(meet(X0,X1),meet(X1,join(X2,X3)))),
    inference(paramodulation,[status(thm)],[f942,f22]) ).

fof(f2293,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X1,meet(X0,X3))))) = meet(join(meet(X0,X1),meet(X1,join(meet(X0,X1),X2))),join(meet(X0,X1),meet(X1,join(X2,X3)))),
    inference(forward_demodulation,[status(thm)],[f397,f2092]) ).

fof(f2389,plain,
    ! [X0,X1,X2] : meet(join(X0,meet(X1,meet(X0,X2))),join(meet(X0,X2),meet(X0,X1))) = join(meet(meet(X0,X2),X0),meet(X0,join(X1,meet(X0,X2)))),
    inference(paramodulation,[status(thm)],[f672,f23]) ).

fof(f2390,plain,
    ! [X0,X1,X2] : meet(join(X0,meet(X1,meet(X2,X0))),join(meet(X2,X0),meet(X0,X1))) = join(meet(meet(X2,X0),X0),meet(X0,join(X1,meet(X2,X0)))),
    inference(paramodulation,[status(thm)],[f593,f23]) ).

fof(f2534,plain,
    ! [X0,X1,X2] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = join(meet(meet(X0,X1),X0),meet(X0,join(X2,meet(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f672,f2389]) ).

fof(f2536,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X2,X3),meet(X0,X1)))),
    inference(backward_demodulation,[status(thm)],[f2538,f497]) ).

fof(f2538,plain,
    ! [X0,X1,X2] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = meet(X0,join(X2,meet(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f1011,f2534]) ).

fof(f2539,plain,
    ! [X0,X1,X2] : meet(X0,join(meet(X1,X0),meet(X0,X2))) = join(meet(meet(X1,X0),X0),meet(X0,join(X2,meet(X1,X0)))),
    inference(forward_demodulation,[status(thm)],[f593,f2390]) ).

fof(f2542,plain,
    ! [X0,X1,X2] : meet(X0,join(meet(X1,X0),meet(X0,X2))) = meet(X0,join(X2,meet(X1,X0))),
    inference(forward_demodulation,[status(thm)],[f1011,f2539]) ).

fof(f2810,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X0,X2))),
    inference(backward_demodulation,[status(thm)],[f2536,f435]) ).

fof(f2811,plain,
    ! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),meet(X2,X3)))),
    inference(backward_demodulation,[status(thm)],[f2810,f21]) ).

fof(f2935,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,meet(X0,X1))),
    inference(paramodulation,[status(thm)],[f672,f2811]) ).

fof(f2973,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(meet(X0,X1),X2))),
    inference(paramodulation,[status(thm)],[f161,f2811]) ).

fof(f3146,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f233,f2935]) ).

fof(f3237,plain,
    ! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X2,meet(X1,X0))),
    inference(backward_demodulation,[status(thm)],[f3275,f2542]) ).

fof(f3245,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X0,X3)))) = meet(join(meet(X0,X1),meet(X1,join(meet(X0,X1),X2))),join(meet(X0,X1),meet(X1,join(X2,X3)))),
    inference(backward_demodulation,[status(thm)],[f3275,f2293]) ).

fof(f3247,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f3275,f3146]) ).

fof(f3272,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f3275,f627]) ).

fof(f3275,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f574,f2973]) ).

fof(f3444,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f3275,f3247]) ).

fof(f3516,plain,
    ! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X2,X1)),
    inference(backward_demodulation,[status(thm)],[f3524,f3237]) ).

fof(f3524,plain,
    ! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f3444,f3272]) ).

fof(f3565,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X0,X3)))) = meet(join(meet(X0,X1),meet(X1,join(X2,X0))),join(meet(X0,X1),meet(X1,join(X2,X3)))),
    inference(backward_demodulation,[status(thm)],[f3516,f3245]) ).

fof(f3571,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X0,X3)))) = meet(meet(X1,join(X2,X0)),join(meet(X0,X1),meet(X1,join(X2,X3)))),
    inference(forward_demodulation,[status(thm)],[f1011,f3565]) ).

fof(f3572,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X0,X3)))) = meet(join(X2,X0),meet(X1,join(meet(X0,X1),meet(X1,join(X2,X3))))),
    inference(forward_demodulation,[status(thm)],[f397,f3571]) ).

fof(f3573,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X0,X3)))) = meet(join(X2,X0),meet(X1,join(join(X2,X3),meet(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f2542,f3572]) ).

fof(f3574,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X0,X3)))) = meet(join(X2,X0),meet(X1,join(join(X2,X3),X0))),
    inference(forward_demodulation,[status(thm)],[f3524,f3573]) ).

fof(f3575,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X0,X3)))) = meet(join(X2,X0),meet(X1,join(X3,join(X2,X0)))),
    inference(forward_demodulation,[status(thm)],[f113,f3574]) ).

fof(f3576,plain,
    ! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X1,join(X2,meet(X0,X3)))) = meet(join(X2,X0),X1),
    inference(forward_demodulation,[status(thm)],[f163,f3575]) ).

fof(f3631,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(join(meet(c,a),meet(a,d)),meet(a,join(b,meet(c,d))))))),
    inference(paramodulation,[status(thm)],[f18,f394]) ).

fof(f3635,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,d),join(meet(c,a),meet(a,join(b,meet(c,d)))))))),
    inference(forward_demodulation,[status(thm)],[f113,f3631]) ).

fof(f3636,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,d),meet(join(b,c),a))))),
    inference(forward_demodulation,[status(thm)],[f3576,f3635]) ).

fof(f3637,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),join(b,d))),
    inference(forward_demodulation,[status(thm)],[f1630,f3636]) ).

fof(f3638,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f3637]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LAT010-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n009.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sun Sep 20 23:05:58 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.13/0.37  % Drodi V4.1.1
% 4.88/1.10  % Refutation found
% 4.88/1.10  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.88/1.10  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.10/5.87  % Elapsed time: 5.294293 seconds
% 29.10/5.87  % CPU time: 8.476255 seconds
% 29.10/5.87  % Total memory used: 4.183 GB
% 29.10/5.87  % Net memory used: 4.182 GB
%------------------------------------------------------------------------------