%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT022-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:02:05 PM UTC 2026
% Result : Unsatisfiable 204.95s 26.32s
% Output : CNFRefutation 186.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 10
% Syntax : Number of formulae : 165 ( 165 unt; 0 def)
% Number of atoms : 165 ( 164 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 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 : 464 ( 464 !; 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(meet(X,Y),meet(Z,join(X,Y))) = meet(join(X,Y),join(Z,meet(X,Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,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(thm)],[f1]) ).
fof(f12,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[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(thm)],[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(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,join(X0,X1))) = meet(join(X0,X1),join(X2,meet(X0,X1))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,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(f28,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(f37,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f41,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f43,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f49,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f15,f41]) ).
fof(f54,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f43]) ).
fof(f70,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X2,X0))),
inference(paramodulation,[status(thm)],[f15,f54]) ).
fof(f79,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f54,f15]) ).
fof(f92,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(meet(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f15,f79]) ).
fof(f94,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X0,X2))),
inference(forward_demodulation,[status(thm)],[f15,f92]) ).
fof(f95,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f14,f16]) ).
fof(f99,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(paramodulation,[status(thm)],[f14,f16]) ).
fof(f101,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f16]) ).
fof(f107,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f16,f99]) ).
fof(f112,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f101]) ).
fof(f137,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(join(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f112,f16]) ).
fof(f150,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(join(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f16,f137]) ).
fof(f152,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X1,join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f16,f150]) ).
fof(f166,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f37]) ).
fof(f198,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,meet(X0,X1))),
inference(paramodulation,[status(thm)],[f37,f43]) ).
fof(f240,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f94,f198]) ).
fof(f262,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f95]) ).
fof(f294,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,join(X0,X1))),
inference(paramodulation,[status(thm)],[f95,f101]) ).
fof(f336,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f152,f294]) ).
fof(f350,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,join(X0,X2))) = meet(X1,join(X0,X2)),
inference(paramodulation,[status(thm)],[f13,f27]) ).
fof(f352,plain,
! [X0,X1] : join(X0,meet(X0,join(X0,X1))) = meet(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f27]) ).
fof(f354,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(join(X1,X2),X0)) = meet(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f13,f27]) ).
fof(f356,plain,
! [X0,X1] : join(meet(join(X0,X1),X0),join(X0,X1)) = meet(join(X0,X1),join(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f27]) ).
fof(f363,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,join(X2,X1))) = meet(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f14,f27]) ).
fof(f375,plain,
! [X0,X1] : join(X0,join(meet(join(X1,X0),X1),X1)) = meet(join(X1,X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f95,f356]) ).
fof(f376,plain,
! [X0,X1] : join(X0,join(X1,meet(join(X1,X0),X1))) = meet(join(X1,X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f336,f375]) ).
fof(f377,plain,
! [X0,X1] : join(X0,join(X1,meet(X1,join(X1,X0)))) = meet(join(X1,X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f13,f376]) ).
fof(f378,plain,
! [X0,X1] : join(X0,meet(X1,join(X1,X0))) = meet(join(X1,X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f352,f377]) ).
fof(f379,plain,
! [X0,X1] : join(X0,meet(X1,join(X1,X0))) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f11,f378]) ).
fof(f395,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X1,meet(X0,X2))) = join(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f14,f28]) ).
fof(f397,plain,
! [X0,X1] : meet(X0,join(X0,meet(X0,X1))) = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f28]) ).
fof(f398,plain,
! [X0,X1,X2] : meet(join(meet(X0,X1),X0),meet(X0,join(X1,X2))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
inference(paramodulation,[status(thm)],[f27,f28]) ).
fof(f402,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),meet(X0,X1)) = join(meet(X0,X1),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f28]) ).
fof(f409,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f13,f28]) ).
fof(f424,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(meet(X0,X1),X0))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f37,f398]) ).
fof(f425,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(X0,meet(X0,X1)))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f14,f424]) ).
fof(f426,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(X0,meet(X0,X1)))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f27,f425]) ).
fof(f429,plain,
! [X0,X1] : meet(X0,meet(join(meet(X1,X0),X1),X1)) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f37,f402]) ).
fof(f430,plain,
! [X0,X1] : meet(X0,meet(X1,join(meet(X1,X0),X1))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f240,f429]) ).
fof(f431,plain,
! [X0,X1] : meet(X0,meet(X1,join(X1,meet(X1,X0)))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f430]) ).
fof(f432,plain,
! [X0,X1] : meet(X0,join(X1,meet(X1,X0))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f397,f431]) ).
fof(f433,plain,
! [X0,X1] : meet(X0,join(X1,meet(X1,X0))) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f12,f432]) ).
fof(f706,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)],[f379,f27]) ).
fof(f734,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X2,join(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f363,f706]) ).
fof(f735,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f379,f734]) ).
fof(f759,plain,
! [X0,X1] : meet(X0,join(X1,meet(X0,X1))) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f13,f433]) ).
fof(f765,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,join(X1,meet(X1,X0))),
inference(paramodulation,[status(thm)],[f433,f27]) ).
fof(f768,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)],[f433,f28]) ).
fof(f800,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f433,f765]) ).
fof(f801,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X1,join(X2,meet(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f409,f768]) ).
fof(f802,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f433,f801]) ).
fof(f1032,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f735]) ).
fof(f1066,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),join(X0,meet(X1,join(X2,X3)))) = join(X0,meet(X1,join(X3,X2))),
inference(paramodulation,[status(thm)],[f735,f28]) ).
fof(f1072,plain,
! [X0,X1,X2,X3] : meet(meet(X0,join(X1,X2)),X3) = meet(X0,meet(join(X2,X1),X3)),
inference(paramodulation,[status(thm)],[f735,f15]) ).
fof(f1109,plain,
! [X0,X1,X2,X3] : join(X0,meet(X1,join(X2,X3))) = join(X0,meet(X1,join(X3,X2))),
inference(forward_demodulation,[status(thm)],[f28,f1066]) ).
fof(f1114,plain,
! [X0,X1,X2,X3] : meet(X0,meet(join(X1,X2),X3)) = meet(X0,meet(join(X2,X1),X3)),
inference(forward_demodulation,[status(thm)],[f15,f1072]) ).
fof(f1255,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X2,meet(X1,X0))) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f800,f107]) ).
fof(f1260,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(meet(X2,X1),join(meet(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f800,f95]) ).
fof(f1401,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,join(X2,X3))) = meet(join(X3,X2),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f735,f166]) ).
fof(f1785,plain,
! [X0,X1,X2] : join(meet(X0,join(X0,X1)),join(X0,meet(X1,X2))) = meet(join(X0,X1),join(X0,meet(X1,X2))),
inference(paramodulation,[status(thm)],[f28,f350]) ).
fof(f1814,plain,
! [X0,X1,X2] : meet(join(meet(X0,X1),X1),meet(X1,join(X0,X2))) = join(meet(X0,X1),meet(X1,join(X0,X2))),
inference(paramodulation,[status(thm)],[f350,f28]) ).
fof(f1855,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,join(X0,X1)),meet(X1,X2))) = meet(join(X0,X1),join(X0,meet(X1,X2))),
inference(forward_demodulation,[status(thm)],[f107,f1785]) ).
fof(f1856,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,join(X0,X1)),meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f28,f1855]) ).
fof(f1885,plain,
! [X0,X1,X2] : meet(X0,meet(join(meet(X1,X0),X0),join(X1,X2))) = join(meet(X1,X0),meet(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f49,f1814]) ).
fof(f1886,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,meet(X1,X0)),join(X1,X2))) = join(meet(X1,X0),meet(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f1114,f1885]) ).
fof(f1887,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,meet(X1,X0)),join(X1,X2))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f350,f1886]) ).
fof(f1918,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(join(X1,X0),join(X0,meet(X1,X0))),
inference(paramodulation,[status(thm)],[f350,f19]) ).
fof(f1922,plain,
! [X0,X1,X2,X3] : join(meet(X0,meet(X1,X2)),meet(X3,join(meet(X0,X1),X2))) = meet(join(meet(X0,X1),X2),join(X3,meet(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f1927,plain,
! [X0,X1,X2,X3] : join(meet(X0,meet(X1,X2)),meet(X3,join(X2,meet(X1,X0)))) = meet(join(X2,meet(X1,X0)),join(X3,meet(X2,meet(X1,X0)))),
inference(paramodulation,[status(thm)],[f166,f19]) ).
fof(f1986,plain,
! [X0,X1] : meet(X0,meet(X1,join(X0,X1))) = meet(X1,X0),
inference(backward_demodulation,[status(thm)],[f1994,f759]) ).
fof(f1988,plain,
! [X0,X1,X2] : meet(X0,meet(meet(X0,join(X1,X0)),join(X1,X2))) = meet(X0,join(X1,X2)),
inference(backward_demodulation,[status(thm)],[f1994,f1887]) ).
fof(f1994,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f395,f1918]) ).
fof(f2017,plain,
! [X0,X1,X2,X3] : join(meet(X0,meet(X1,X2)),meet(X3,join(meet(X0,X1),X2))) = meet(join(meet(X0,X1),X2),join(X3,meet(X0,meet(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f1922]) ).
fof(f2144,plain,
! [X0,X1,X2] : meet(X0,meet(X0,meet(join(X1,X0),join(X1,X2)))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f15,f1988]) ).
fof(f2145,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X1,X2))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f43,f2144]) ).
fof(f2416,plain,
! [X0,X1,X2] : join(meet(X0,join(X0,X1)),join(X0,X2)) = join(X2,meet(X0,join(X0,X1))),
inference(paramodulation,[status(thm)],[f352,f262]) ).
fof(f2506,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,join(X2,X0))) = join(X2,meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f2507,f1856]) ).
fof(f2507,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,join(X0,X1)),X2)) = join(X2,meet(X0,join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f107,f2416]) ).
fof(f2537,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X2),X0)) = join(X0,meet(X1,meet(X2,X0))),
inference(paramodulation,[status(thm)],[f15,f1994]) ).
fof(f2549,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f13,f1994]) ).
fof(f2573,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X0)),X2) = join(X0,join(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f1994,f16]) ).
fof(f2637,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),meet(X0,join(X1,X0)))) = meet(X0,join(X1,X2)),
inference(backward_demodulation,[status(thm)],[f2549,f426]) ).
fof(f2721,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(X1,X0))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f94,f2637]) ).
fof(f3847,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X1,meet(X2,X0))) = join(X1,meet(X0,meet(X2,join(X0,X2)))),
inference(paramodulation,[status(thm)],[f1986,f395]) ).
fof(f3864,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X0)),join(X0,meet(X1,X2))) = meet(join(X1,X0),join(X0,meet(X1,X2))),
inference(paramodulation,[status(thm)],[f395,f350]) ).
fof(f3992,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X1,meet(X2,X0))) = join(X1,meet(X2,X0)),
inference(forward_demodulation,[status(thm)],[f1986,f3847]) ).
fof(f4015,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,join(X1,X0)),meet(X1,X2))) = meet(join(X1,X0),join(X0,meet(X1,X2))),
inference(forward_demodulation,[status(thm)],[f107,f3864]) ).
fof(f4016,plain,
! [X0,X1,X2] : join(X0,join(X0,join(meet(X1,X0),meet(X1,X2)))) = meet(join(X1,X0),join(X0,meet(X1,X2))),
inference(forward_demodulation,[status(thm)],[f2573,f4015]) ).
fof(f4017,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X1,X2))) = meet(join(X1,X0),join(X0,meet(X1,X2))),
inference(forward_demodulation,[status(thm)],[f101,f4016]) ).
fof(f4019,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f395,f4017]) ).
fof(f7267,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X2,meet(X0,X1))) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f1255]) ).
fof(f7508,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f112,f7267]) ).
fof(f7698,plain,
! [X0,X1,X2,X3] : join(meet(X0,X1),meet(join(X1,meet(X2,X3)),X0)) = meet(X0,join(X1,meet(X3,X2))),
inference(paramodulation,[status(thm)],[f802,f354]) ).
fof(f7816,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,X3))) = meet(X0,join(X1,meet(X3,X2))),
inference(forward_demodulation,[status(thm)],[f354,f7698]) ).
fof(f9734,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(X0,X1))) = meet(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f1032,f2145]) ).
fof(f10543,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,meet(X1,X0))) = meet(meet(X0,X1),join(X2,X1)),
inference(paramodulation,[status(thm)],[f409,f2721]) ).
fof(f10678,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,meet(X1,X0)))) = meet(meet(X0,X1),join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f15,f10543]) ).
fof(f10689,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,meet(X1,X0)))) = meet(X0,meet(X1,join(X2,X1))),
inference(forward_demodulation,[status(thm)],[f15,f10678]) ).
fof(f12216,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X0)),join(X0,meet(X2,X1))) = meet(join(X1,X0),join(X0,meet(X2,X1))),
inference(paramodulation,[status(thm)],[f3992,f350]) ).
fof(f12460,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,join(X1,X0)),meet(X2,X1))) = meet(join(X1,X0),join(X0,meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f107,f12216]) ).
fof(f12461,plain,
! [X0,X1,X2] : join(X0,join(X0,join(meet(X1,X0),meet(X2,X1)))) = meet(join(X1,X0),join(X0,meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f2573,f12460]) ).
fof(f12462,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X2,X1))) = meet(join(X1,X0),join(X0,meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f101,f12461]) ).
fof(f12464,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X2,X1))) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3992,f12462]) ).
fof(f14687,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X2),meet(X1,X0))) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f336,f4019]) ).
fof(f15934,plain,
! [X0,X1,X2,X3] : join(meet(X0,X1),meet(meet(X2,X3),join(X0,meet(X3,X2)))) = join(meet(X2,X3),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f7508,f2506]) ).
fof(f15957,plain,
! [X0,X1,X2,X3] : join(meet(meet(X0,X1),X2),meet(X3,join(X2,meet(X1,X0)))) = meet(join(meet(X0,X1),X2),join(X3,meet(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f7508,f19]) ).
fof(f16194,plain,
! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,meet(X3,join(X0,meet(X3,X2))))) = join(meet(X2,X3),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f15934]) ).
fof(f16198,plain,
! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,meet(X3,join(X0,X3)))) = join(meet(X2,X3),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10689,f16194]) ).
fof(f16218,plain,
! [X0,X1,X2,X3] : join(meet(X0,meet(X1,X2)),meet(X3,join(X2,meet(X1,X0)))) = meet(join(meet(X0,X1),X2),join(X3,meet(meet(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f15,f15957]) ).
fof(f16219,plain,
! [X0,X1,X2,X3] : meet(join(X0,meet(X1,X2)),join(X3,meet(X0,meet(X1,X2)))) = meet(join(meet(X2,X1),X0),join(X3,meet(meet(X2,X1),X0))),
inference(forward_demodulation,[status(thm)],[f1927,f16218]) ).
fof(f16220,plain,
! [X0,X1,X2,X3] : meet(join(X0,meet(X1,X2)),join(X3,meet(X0,meet(X1,X2)))) = meet(join(meet(X2,X1),X0),join(X3,meet(X2,meet(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f15,f16219]) ).
fof(f16987,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,join(meet(meet(X0,X1),X0),X1))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(paramodulation,[status(thm)],[f11,f2017]) ).
fof(f17288,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,join(X1,meet(meet(X0,X1),X0)))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f1109,f16987]) ).
fof(f17289,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,join(X1,meet(X0,meet(X0,X1))))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f7816,f17288]) ).
fof(f17290,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,meet(X1,join(meet(X0,X0),X1)))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f2537,f17289]) ).
fof(f17291,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,meet(X1,join(X0,X1)))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f11,f17290]) ).
fof(f17292,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X1)) = meet(join(meet(meet(X2,X1),X2),X1),join(X0,meet(meet(X2,X1),meet(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f16198,f17291]) ).
fof(f17293,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X1)) = meet(join(X1,meet(X2,meet(X2,X1))),join(X0,meet(X1,meet(X2,meet(X2,X1))))),
inference(forward_demodulation,[status(thm)],[f16220,f17292]) ).
fof(f17294,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X1)) = meet(meet(X1,join(meet(X2,X2),X1)),join(X0,meet(X1,meet(X2,meet(X2,X1))))),
inference(forward_demodulation,[status(thm)],[f2537,f17293]) ).
fof(f17295,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,meet(join(meet(X2,X2),X1),join(X0,meet(X1,meet(X2,meet(X2,X1)))))),
inference(forward_demodulation,[status(thm)],[f15,f17294]) ).
fof(f17296,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,meet(join(X2,X1),join(X0,meet(X1,meet(X2,meet(X2,X1)))))),
inference(forward_demodulation,[status(thm)],[f11,f17295]) ).
fof(f17297,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,meet(join(X2,X1),join(X0,meet(X1,meet(X2,X2))))),
inference(forward_demodulation,[status(thm)],[f70,f17296]) ).
fof(f17301,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,meet(join(X2,X1),join(X0,meet(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f11,f17297]) ).
fof(f19529,plain,
! [X0,X1,X2,X3,X4] : meet(X0,meet(meet(X1,join(X2,X3)),X4)) = meet(X0,meet(join(X3,X2),meet(X1,X4))),
inference(paramodulation,[status(thm)],[f1401,f240]) ).
fof(f19900,plain,
! [X0,X1,X2,X3,X4] : meet(X0,meet(X1,meet(join(X2,X3),X4))) = meet(X0,meet(join(X3,X2),meet(X1,X4))),
inference(forward_demodulation,[status(thm)],[f15,f19529]) ).
fof(f22710,plain,
! [X0,X1,X2] : meet(X0,meet(join(meet(X0,X1),X2),meet(X0,join(X1,X0)))) = meet(X0,join(meet(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f2549,f9734]) ).
fof(f23029,plain,
! [X0,X1,X2] : meet(X0,meet(X0,meet(join(X1,meet(X0,X2)),join(X2,X0)))) = meet(X0,join(meet(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f19900,f22710]) ).
fof(f23030,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,meet(X0,X2)),join(X2,X0))) = meet(X0,join(meet(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f43,f23029]) ).
fof(f23031,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X2,meet(X0,X1)))) = meet(X0,join(meet(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f240,f23030]) ).
fof(f23050,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(meet(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f17301,f23031]) ).
fof(f31264,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(X1,X0),meet(X2,X1))) = join(meet(X0,X1),meet(X2,X1)),
inference(paramodulation,[status(thm)],[f54,f12464]) ).
fof(f31551,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = join(meet(X2,X1),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1260,f31264]) ).
fof(f31604,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f23050,f31551]) ).
fof(f32190,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(X1,X2),meet(X1,X0))) = join(meet(X0,X1),meet(X1,X2)),
inference(paramodulation,[status(thm)],[f54,f14687]) ).
fof(f32635,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X2,X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1255,f32190]) ).
fof(f32636,plain,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,c),b)),
inference(backward_demodulation,[status(thm)],[f32895,f20]) ).
fof(f32895,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f31604,f32635]) ).
fof(f33249,plain,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(a,c))),
inference(forward_demodulation,[status(thm)],[f735,f32636]) ).
fof(f33250,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f33249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT022-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 23:06:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 204.95/26.32 % Refutation found
% 204.95/26.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 204.95/26.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 105.63/27.60 % Elapsed time: 27.029224 seconds
% 105.63/27.60 % CPU time: 155.580499 seconds
% 105.63/27.60 % Total memory used: 520.202 MB
% 105.63/27.60 % Net memory used: 504.899 MB
%------------------------------------------------------------------------------