%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:02:11 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.55s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 6
% Syntax : Number of formulae : 116 ( 116 unt; 0 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 219 ( 219 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : join(meet(A,A),meet(B,join(A,A))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
join(b,a) != join(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
join(b,a) != join(a,b),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f17,plain,
! [X0,X1,X2] : join(meet(join(meet(X0,X1),meet(X2,X0)),X0),meet(join(meet(X0,X1),meet(X2,X0)),X0)) = join(meet(X0,X1),meet(X2,X0)),
inference(paramodulation,[status(thm)],[f11,f7]) ).
fof(f24,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X1,join(X0,X1)),X1)) = meet(X1,join(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f34,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f40,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f41,plain,
! [X0,X1,X2,X3] : join(join(X0,meet(X1,meet(join(X0,X2),join(X3,X0)))),meet(join(X0,X2),join(X3,X0))) = meet(join(X0,X2),join(X3,X0)),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f50,plain,
! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f40,f9]) ).
fof(f53,plain,
! [X0,X1] : meet(meet(X0,join(meet(X0,X1),X0)),join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f40,f34]) ).
fof(f55,plain,
! [X0,X1] : meet(meet(X0,meet(X1,X0)),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f9,f34]) ).
fof(f59,plain,
! [X0,X1] : join(join(X0,meet(join(X0,X1),X0)),meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
inference(paramodulation,[status(thm)],[f34,f40]) ).
fof(f72,plain,
! [X0,X1,X2] : meet(meet(X0,X0),meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f10,f55]) ).
fof(f79,plain,
! [X0,X1] : join(join(meet(X0,X1),meet(X1,meet(X0,X1))),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f55,f40]) ).
fof(f84,plain,
! [X0,X1,X2] : meet(meet(X0,X0),X0) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f10,f72]) ).
fof(f88,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f84]) ).
fof(f104,plain,
! [X0] : join(X0,meet(X0,join(meet(X0,X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f88,f9]) ).
fof(f110,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f104,f10]) ).
fof(f113,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X1,join(X0,X1))),X1) = meet(X1,join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f110,f24]) ).
fof(f117,plain,
! [X0] : meet(meet(meet(X0,X0),X0),meet(X0,X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f50,f110]) ).
fof(f119,plain,
! [X0,X1] : meet(meet(meet(X0,join(X1,X0)),X0),meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f9,f110]) ).
fof(f128,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(paramodulation,[status(thm)],[f110,f9]) ).
fof(f131,plain,
! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f110,f7]) ).
fof(f132,plain,
! [X0] : meet(X0,meet(X0,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f88,f117]) ).
fof(f135,plain,
! [X0,X1] : meet(X0,meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f110,f119]) ).
fof(f141,plain,
! [X0] : meet(meet(X0,X0),meet(X0,X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f132,f55]) ).
fof(f177,plain,
! [X0,X1,X2] : join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),join(meet(join(X0,X1),join(X2,X0)),X0))),meet(meet(meet(join(X0,X1),join(X2,X0)),X0),meet(join(X0,X1),join(X2,X0)))) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f10,f16]) ).
fof(f194,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,join(X0,X0))),X0) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f88,f16]) ).
fof(f199,plain,
! [X0] : join(meet(meet(meet(X0,X0),meet(X0,X0)),meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0)))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(paramodulation,[status(thm)],[f141,f16]) ).
fof(f208,plain,
! [X0,X1,X2] : join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),join(meet(join(X0,X1),join(X2,X0)),X0))),meet(X0,meet(join(X0,X1),join(X2,X0)))) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f10,f177]) ).
fof(f209,plain,
! [X0,X1,X2] : join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),join(meet(join(X0,X1),join(X2,X0)),X0))),meet(X0,meet(join(X0,X1),join(X2,X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f10,f208]) ).
fof(f233,plain,
! [X0] : meet(X0,join(X0,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f113,f194]) ).
fof(f243,plain,
! [X0] : join(meet(meet(X0,X0),meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0)))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f141,f199]) ).
fof(f244,plain,
! [X0] : join(meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f135,f243]) ).
fof(f245,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,X0)),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f233,f244]) ).
fof(f246,plain,
! [X0] : join(meet(X0,X0),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f141,f245]) ).
fof(f247,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f141,f246]) ).
fof(f252,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f141,f247]) ).
fof(f363,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,X0)),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f233,f16]) ).
fof(f365,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f233,f9]) ).
fof(f368,plain,
! [X0,X1] : join(meet(join(meet(join(X0,X0),X1),meet(X0,join(X0,X0))),join(X0,X0)),meet(join(meet(join(X0,X0),X1),meet(X0,X0)),join(X0,X0))) = join(meet(join(X0,X0),X1),meet(X0,join(X0,X0))),
inference(paramodulation,[status(thm)],[f233,f17]) ).
fof(f385,plain,
! [X0] : join(meet(X0,X0),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f141,f363]) ).
fof(f386,plain,
! [X0] : join(X0,meet(X0,meet(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f392,f104]) ).
fof(f392,plain,
! [X0] : join(meet(X0,X0),X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f88,f385]) ).
fof(f399,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f428,f8]) ).
fof(f428,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f252,f365]) ).
fof(f431,plain,
! [X0,X1] : join(meet(join(meet(join(X0,X0),X1),meet(X0,X0)),join(X0,X0)),meet(join(meet(join(X0,X0),X1),meet(X0,X0)),join(X0,X0))) = join(meet(join(X0,X0),X1),meet(X0,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f233,f368]) ).
fof(f432,plain,
! [X0,X1] : join(meet(join(meet(join(X0,X0),X1),X0),join(X0,X0)),meet(join(meet(join(X0,X0),X1),meet(X0,X0)),join(X0,X0))) = join(meet(join(X0,X0),X1),meet(X0,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f428,f431]) ).
fof(f433,plain,
! [X0,X1] : join(meet(join(meet(join(X0,X0),X1),X0),join(X0,X0)),meet(join(meet(join(X0,X0),X1),X0),join(X0,X0))) = join(meet(join(X0,X0),X1),meet(X0,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f428,f432]) ).
fof(f434,plain,
! [X0,X1] : join(meet(join(meet(join(X0,X0),X1),X0),join(X0,X0)),meet(join(meet(join(X0,X0),X1),X0),join(X0,X0))) = join(meet(join(X0,X0),X1),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f233,f433]) ).
fof(f435,plain,
! [X0,X1] : join(meet(join(meet(join(X0,X0),X1),X0),join(X0,X0)),meet(join(meet(join(X0,X0),X1),X0),join(X0,X0))) = join(meet(join(X0,X0),X1),X0),
inference(forward_demodulation,[status(thm)],[f428,f434]) ).
fof(f473,plain,
! [X0] : join(X0,meet(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f132,f386]) ).
fof(f475,plain,
! [X0,X1] : meet(join(meet(join(X0,X0),X1),X0),join(X0,X0)) = join(meet(join(X0,X0),X1),X0),
inference(backward_demodulation,[status(thm)],[f490,f435]) ).
fof(f490,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f428,f473]) ).
fof(f504,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f506,f79]) ).
fof(f505,plain,
! [X0,X1] : join(X0,meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f506,f59]) ).
fof(f506,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f490,f399]) ).
fof(f539,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),join(X0,X0)) = join(meet(join(X0,X0),X1),X0),
inference(forward_demodulation,[status(thm)],[f490,f475]) ).
fof(f540,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = join(meet(join(X0,X0),X1),X0),
inference(forward_demodulation,[status(thm)],[f490,f539]) ).
fof(f544,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = join(meet(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f490,f540]) ).
fof(f567,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f506,f504]) ).
fof(f573,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f506,f505]) ).
fof(f634,plain,
! [X0,X1] : join(meet(meet(X0,meet(X1,X0)),meet(X0,X0)),meet(meet(X0,meet(X1,X0)),X0)) = meet(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f506,f16]) ).
fof(f639,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f506,f7]) ).
fof(f640,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X1,X1)),meet(meet(X1,meet(X0,X1)),X1)) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f567,f634]) ).
fof(f641,plain,
! [X0,X1] : join(meet(meet(X0,X1),X1),meet(meet(X1,meet(X0,X1)),X1)) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f428,f640]) ).
fof(f642,plain,
! [X0,X1] : join(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f567,f641]) ).
fof(f643,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f490,f642]) ).
fof(f646,plain,
! [X0,X1] : meet(X0,join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f650,f53]) ).
fof(f650,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f567,f643]) ).
fof(f653,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f567,f639]) ).
fof(f656,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f428,f653]) ).
fof(f658,plain,
! [X0,X1] : join(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(backward_demodulation,[status(thm)],[f646,f128]) ).
fof(f689,plain,
! [X0,X1] : join(meet(meet(join(X0,X1),X0),meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = meet(join(X0,X1),X0),
inference(paramodulation,[status(thm)],[f573,f16]) ).
fof(f695,plain,
! [X0,X1] : join(X0,meet(join(X0,X1),join(join(X0,X1),X0))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f573,f7]) ).
fof(f696,plain,
! [X0,X1] : join(meet(X0,meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f573,f689]) ).
fof(f697,plain,
! [X0,X1] : join(meet(X0,meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[status(thm)],[f573,f696]) ).
fof(f808,plain,
! [X0,X1] : join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(paramodulation,[status(thm)],[f658,f16]) ).
fof(f823,plain,
! [X0,X1] : join(meet(join(meet(X0,join(X1,X0)),X0),meet(X0,X0)),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f646,f808]) ).
fof(f824,plain,
! [X0,X1] : join(meet(join(meet(X0,join(X1,X0)),X0),X0),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f428,f823]) ).
fof(f825,plain,
! [X0,X1] : join(join(meet(X0,join(X1,X0)),X0),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f544,f824]) ).
fof(f826,plain,
! [X0,X1] : join(join(meet(X0,join(X1,X0)),X0),X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f110,f825]) ).
fof(f827,plain,
! [X0,X1] : X0 = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f40,f826]) ).
fof(f830,plain,
! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),X0)) = meet(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f831,f131]) ).
fof(f831,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f646,f827]) ).
fof(f849,plain,
! [X0,X1] : X0 = join(meet(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f859,f646]) ).
fof(f859,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f506,f830]) ).
fof(f877,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(join(X0,X1),join(X2,X0))),
inference(paramodulation,[status(thm)],[f10,f849]) ).
fof(f889,plain,
! [X0,X1] : meet(join(X0,X1),join(join(X0,X1),X0)) = join(X0,X1),
inference(backward_demodulation,[status(thm)],[f877,f695]) ).
fof(f904,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(backward_demodulation,[status(thm)],[f889,f697]) ).
fof(f908,plain,
! [X0,X1,X2] : join(meet(X0,meet(join(X0,X1),join(X2,X0))),meet(X0,meet(join(X0,X1),join(X2,X0)))) = X0,
inference(backward_demodulation,[status(thm)],[f912,f209]) ).
fof(f912,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f490,f904]) ).
fof(f913,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),join(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f490,f908]) ).
fof(f924,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f859,f656]) ).
fof(f944,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f912,f506]) ).
fof(f1447,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f849,f944]) ).
fof(f1469,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f849,f1447]) ).
fof(f1815,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f924,f913]) ).
fof(f2069,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f944,f1815]) ).
fof(f2339,plain,
! [X0,X1] : join(join(X0,X1),meet(join(X0,X1),join(X1,X0))) = meet(join(X0,X1),join(X1,X0)),
inference(paramodulation,[status(thm)],[f2069,f41]) ).
fof(f2370,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1469,f2339]) ).
fof(f2440,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = meet(join(X1,X0),join(X0,X1)),
inference(paramodulation,[status(thm)],[f2370,f567]) ).
fof(f2493,plain,
! [X0,X1] : join(X0,X1) = meet(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2370,f2440]) ).
fof(f2500,plain,
join(b,a) != join(b,a),
inference(backward_demodulation,[status(thm)],[f2535,f12]) ).
fof(f2535,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f2370,f2493]) ).
fof(f2540,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n003.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 20 23:13:00 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.55 % Refutation found
% 0.08/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.59 % Elapsed time: 0.193357 seconds
% 0.08/0.59 % CPU time: 1.202658 seconds
% 0.08/0.59 % Total memory used: 46.101 MB
% 0.08/0.59 % Net memory used: 44.665 MB
%------------------------------------------------------------------------------