%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT009-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 01:02:03 PM UTC 2026
% Result : Unsatisfiable 3.72s 1.25s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 10
% Syntax : Number of formulae : 127 ( 127 unt; 0 def)
% Number of atoms : 127 ( 126 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 : 341 ( 341 !; 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,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) = meet(join(meet(join(X,Y),Z),Y),join(Z,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(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,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : join(meet(join(meet(X0,X1),X2),X1),meet(X2,X0)) = meet(join(meet(join(X0,X1),X2),X1),join(X2,X0)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f35,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f43,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f47,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f48,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f52,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f53,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f17]) ).
fof(f59,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,meet(X1,X2))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f17,f14]) ).
fof(f63,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f14,f18]) ).
fof(f64,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f68,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(meet(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f14,f18]) ).
fof(f69,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f71,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f18]) ).
fof(f75,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f18,f13]) ).
fof(f82,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f35]) ).
fof(f91,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f82]) ).
fof(f96,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f43]) ).
fof(f107,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f96]) ).
fof(f131,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(join(meet(X1,X2),X0),X2)) = meet(join(meet(join(X1,X2),X0),X2),join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f133,plain,
! [X0,X1,X2] : join(meet(X0,join(meet(X1,X0),X2)),meet(X2,X1)) = meet(join(meet(join(X1,X0),X2),X0),join(X2,X1)),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f138,plain,
! [X0,X1,X2] : join(meet(join(X0,meet(X1,X2)),X2),meet(X0,X1)) = meet(join(meet(join(X1,X2),X0),X2),join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f145,plain,
! [X0,X1,X2] : join(meet(join(meet(X0,X1),X2),X0),meet(X2,X1)) = meet(join(meet(join(X1,X0),X2),X0),join(X2,X1)),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f151,plain,
! [X0,X1,X2] : join(meet(join(meet(join(X0,X1),X2),X0),X2),X0) = meet(join(meet(join(join(X0,X1),X2),X0),X2),join(X0,join(X0,X1))),
inference(paramodulation,[status(thm)],[f13,f19]) ).
fof(f186,plain,
! [X0,X1,X2] : join(meet(join(meet(join(X0,X1),X2),X0),X2),X0) = meet(join(meet(join(X0,join(X1,X2)),X0),X2),join(X0,join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f18,f151]) ).
fof(f187,plain,
! [X0,X1,X2] : join(meet(join(meet(join(X0,X1),X2),X0),X2),X0) = meet(join(meet(join(X0,join(X1,X2)),X0),X2),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f71,f186]) ).
fof(f221,plain,
! [X0,X1,X2] : join(meet(X0,join(meet(X1,X0),X2)),meet(X1,X0)) = meet(X0,join(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f47,f35]) ).
fof(f314,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f48,f14]) ).
fof(f362,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(X1,join(X0,X2))),
inference(paramodulation,[status(thm)],[f15,f52]) ).
fof(f381,plain,
! [X0,X1,X2] : join(meet(join(X0,X1),X2),meet(X0,X2)) = meet(join(X0,X1),X2),
inference(paramodulation,[status(thm)],[f52,f35]) ).
fof(f491,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X1,meet(X0,join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f13,f53]) ).
fof(f996,plain,
! [X0,X1,X2,X3] : join(X0,X1) = join(X1,join(meet(X2,meet(X1,X3)),X0)),
inference(paramodulation,[status(thm)],[f314,f64]) ).
fof(f997,plain,
! [X0,X1,X2,X3] : join(X0,meet(X1,meet(X0,X2))) = join(X0,join(meet(X1,meet(X0,X2)),meet(X0,X3))),
inference(paramodulation,[status(thm)],[f314,f63]) ).
fof(f1016,plain,
! [X0,X1,X2,X3] : X0 = join(X0,join(meet(X1,meet(X0,X2)),meet(X0,X3))),
inference(forward_demodulation,[status(thm)],[f314,f997]) ).
fof(f1024,plain,
! [X0,X1] : X0 = join(meet(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f996,f1016]) ).
fof(f1046,plain,
! [X0,X1] : X0 = join(meet(X1,X0),X0),
inference(paramodulation,[status(thm)],[f15,f1024]) ).
fof(f1060,plain,
! [X0,X1,X2] : join(X0,X1) = join(meet(X0,X2),join(X0,X1)),
inference(paramodulation,[status(thm)],[f1024,f18]) ).
fof(f1326,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),X2) = meet(join(X0,join(X1,X3)),meet(join(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f75,f53]) ).
fof(f1418,plain,
! [X0,X1,X2] : join(X0,meet(join(meet(join(X1,X0),X2),X0),X2)) = meet(join(meet(join(join(X1,X0),X2),X0),X2),join(X0,join(X1,X0))),
inference(paramodulation,[status(thm)],[f43,f131]) ).
fof(f1500,plain,
! [X0,X1,X2] : join(X0,meet(join(meet(join(X1,X0),X2),X0),X2)) = meet(join(meet(join(X0,join(X1,X2)),X0),X2),join(X0,join(X1,X0))),
inference(forward_demodulation,[status(thm)],[f69,f1418]) ).
fof(f1501,plain,
! [X0,X1,X2] : join(meet(join(meet(join(X0,X1),X2),X0),X2),X0) = join(X0,meet(join(meet(join(X1,X0),X2),X0),X2)),
inference(backward_demodulation,[status(thm)],[f1502,f187]) ).
fof(f1502,plain,
! [X0,X1,X2] : join(X0,meet(join(meet(join(X1,X0),X2),X0),X2)) = meet(join(meet(join(X0,join(X1,X2)),X0),X2),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f91,f1500]) ).
fof(f1643,plain,
! [X0,X1,X2] : join(meet(meet(X0,X1),join(meet(X1,X0),X2)),meet(X2,X1)) = meet(join(meet(join(X1,meet(X0,X1)),X2),meet(X0,X1)),join(X2,X1)),
inference(paramodulation,[status(thm)],[f107,f133]) ).
fof(f1646,plain,
! [X0,X1,X2] : join(meet(meet(X0,X1),join(meet(X0,X1),X2)),meet(X2,X0)) = meet(join(meet(join(X0,meet(X0,X1)),X2),meet(X0,X1)),join(X2,X0)),
inference(paramodulation,[status(thm)],[f55,f133]) ).
fof(f1667,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(join(meet(join(X2,X0),X1),X0),join(X1,X2))),
inference(paramodulation,[status(thm)],[f133,f68]) ).
fof(f1754,plain,
! [X0,X1,X2] : join(meet(X0,meet(X1,join(meet(X0,X1),X2))),meet(X2,X0)) = meet(join(meet(join(X0,meet(X1,X0)),X2),meet(X1,X0)),join(X2,X0)),
inference(forward_demodulation,[status(thm)],[f53,f1643]) ).
fof(f1755,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X0)) = meet(join(meet(join(X0,meet(X1,X0)),X2),meet(X1,X0)),join(X2,X0)),
inference(forward_demodulation,[status(thm)],[f47,f1754]) ).
fof(f1756,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X0)) = meet(join(meet(X0,X2),meet(X1,X0)),join(X2,X0)),
inference(forward_demodulation,[status(thm)],[f35,f1755]) ).
fof(f1759,plain,
! [X0,X1,X2] : join(meet(X0,meet(X1,join(meet(X1,X0),X2))),meet(X2,X1)) = meet(join(meet(join(X1,meet(X1,X0)),X2),meet(X1,X0)),join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f53,f1646]) ).
fof(f1760,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X0)) = meet(join(meet(join(X0,meet(X0,X1)),X2),meet(X0,X1)),join(X2,X0)),
inference(forward_demodulation,[status(thm)],[f491,f1759]) ).
fof(f1763,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X0)) = meet(join(meet(X0,X2),meet(X0,X1)),join(X2,X0)),
inference(forward_demodulation,[status(thm)],[f14,f1760]) ).
fof(f1841,plain,
! [X0,X1,X2] : join(meet(X0,meet(X0,X1)),meet(X0,X2)) = meet(join(meet(join(X2,meet(X0,X1)),X0),meet(X0,X1)),join(X0,X2)),
inference(paramodulation,[status(thm)],[f314,f138]) ).
fof(f1860,plain,
! [X0,X1] : join(meet(join(X0,X1),X1),meet(X0,X1)) = meet(join(meet(join(X1,X1),X0),X1),join(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f138]) ).
fof(f1931,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,X2)) = meet(join(meet(join(X2,meet(X0,X1)),X0),meet(X0,X1)),join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f55,f1841]) ).
fof(f1957,plain,
! [X0,X1] : meet(join(X0,X1),X1) = meet(join(meet(join(X1,X1),X0),X1),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f381,f1860]) ).
fof(f1958,plain,
! [X0,X1] : meet(join(X0,X1),X1) = meet(join(meet(X1,X0),X1),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f12,f1957]) ).
fof(f1959,plain,
! [X0,X1] : meet(join(X0,X1),X1) = meet(X1,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1024,f1958]) ).
fof(f1966,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f43,f1959]) ).
fof(f2071,plain,
! [X0,X1,X2] : meet(join(meet(X0,join(X1,X2)),X1),join(X1,X2)) = join(meet(X0,join(X1,X2)),X1),
inference(paramodulation,[status(thm)],[f1046,f75]) ).
fof(f2075,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X0,X2)) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f1046,f75]) ).
fof(f2079,plain,
! [X0,X1,X2] : join(X0,X1) = join(meet(X2,X1),join(X1,X0)),
inference(paramodulation,[status(thm)],[f1046,f64]) ).
fof(f2721,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(paramodulation,[status(thm)],[f16,f1966]) ).
fof(f2733,plain,
! [X0,X1,X2] : join(meet(join(X0,meet(X1,X2)),X1),meet(X1,X2)) = meet(join(X0,meet(X1,X2)),X1),
inference(paramodulation,[status(thm)],[f1966,f59]) ).
fof(f2754,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f1966,f48]) ).
fof(f2778,plain,
! [X0,X1,X2] : join(X0,meet(join(meet(join(X1,X0),X2),X0),X2)) = meet(join(X0,X2),join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f2721,f1502]) ).
fof(f2796,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,X2)) = meet(meet(join(X2,meet(X0,X1)),X0),join(X0,X2)),
inference(backward_demodulation,[status(thm)],[f2733,f1931]) ).
fof(f2848,plain,
! [X0,X1,X2] : join(meet(join(meet(join(X0,X1),X2),X0),X2),X0) = meet(join(X0,X2),join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f2778,f1501]) ).
fof(f2849,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,meet(join(X2,meet(X0,X1)),join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f53,f2796]) ).
fof(f2862,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X0)) = meet(meet(X0,join(X1,meet(X0,X2))),join(X2,X0)),
inference(backward_demodulation,[status(thm)],[f2867,f1763]) ).
fof(f2867,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X2,meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f362,f2849]) ).
fof(f2877,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X0)) = meet(join(X1,meet(X0,X2)),meet(X0,join(X2,X0))),
inference(forward_demodulation,[status(thm)],[f53,f2862]) ).
fof(f2880,plain,
! [X0,X1,X2] : meet(join(join(meet(X0,X1),X2),meet(X1,X0)),X1) = meet(X1,join(meet(X0,X1),X2)),
inference(backward_demodulation,[status(thm)],[f2889,f221]) ).
fof(f2885,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X0)) = meet(meet(join(X2,meet(X0,X1)),X0),join(X2,X0)),
inference(backward_demodulation,[status(thm)],[f2889,f1756]) ).
fof(f2889,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,X0)) = meet(join(X1,meet(X0,X2)),X0),
inference(forward_demodulation,[status(thm)],[f43,f2877]) ).
fof(f2894,plain,
! [X0,X1,X2] : meet(join(X0,join(meet(X1,X2),meet(X2,X1))),X2) = meet(X2,join(meet(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f69,f2880]) ).
fof(f2895,plain,
! [X0,X1,X2] : meet(join(X0,meet(join(X1,meet(X2,X1)),X2)),X1) = meet(X1,join(meet(X2,X1),X0)),
inference(forward_demodulation,[status(thm)],[f2889,f2894]) ).
fof(f2906,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),X1) = meet(X1,join(meet(X2,X1),X0)),
inference(forward_demodulation,[status(thm)],[f35,f2895]) ).
fof(f2911,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),X1) = meet(meet(join(X2,meet(X1,X0)),X1),join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f2889,f2885]) ).
fof(f2912,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(meet(join(X1,meet(X0,X2)),X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2906,f2911]) ).
fof(f2913,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,meet(join(X1,meet(X0,X2)),join(X1,X0))),
inference(forward_demodulation,[status(thm)],[f53,f2912]) ).
fof(f2914,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(join(X1,meet(X0,X2)),X0),
inference(forward_demodulation,[status(thm)],[f2754,f2913]) ).
fof(f2985,plain,
! [X0,X1,X2] : join(meet(join(meet(X0,X1),join(X1,X2)),X0),X1) = meet(join(meet(join(X1,X0),join(X1,X2)),X0),join(join(X1,X2),X1)),
inference(paramodulation,[status(thm)],[f2721,f145]) ).
fof(f2992,plain,
! [X0,X1,X2] : join(meet(X0,join(meet(X1,X0),join(X1,X2))),X1) = meet(join(meet(join(X1,X0),join(X1,X2)),X0),join(join(X1,X2),X1)),
inference(paramodulation,[status(thm)],[f2721,f133]) ).
fof(f2995,plain,
! [X0,X1,X2] : join(X0,meet(join(meet(X0,X1),join(X0,X2)),X1)) = meet(join(meet(join(X0,X1),join(X0,X2)),X1),join(join(X0,X2),X0)),
inference(paramodulation,[status(thm)],[f2721,f131]) ).
fof(f3033,plain,
! [X0,X1,X2] : join(meet(join(X0,X1),X2),X1) = meet(join(meet(join(X1,X2),join(X1,X0)),X2),join(join(X1,X0),X1)),
inference(forward_demodulation,[status(thm)],[f2079,f2985]) ).
fof(f3034,plain,
! [X0,X1,X2] : join(meet(join(X0,X1),X2),X1) = meet(join(meet(join(X1,X2),join(X1,X0)),X2),join(X0,join(X1,X1))),
inference(forward_demodulation,[status(thm)],[f69,f3033]) ).
fof(f3036,plain,
! [X0,X1,X2] : join(meet(join(X0,X1),X2),X1) = meet(join(meet(join(X1,X2),join(X1,X0)),X2),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f12,f3034]) ).
fof(f3049,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X2)),X1) = meet(join(meet(join(X1,X0),join(X1,X2)),X0),join(join(X1,X2),X1)),
inference(forward_demodulation,[status(thm)],[f1060,f2992]) ).
fof(f3050,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X2)),X1) = meet(join(meet(join(X1,X0),join(X1,X2)),X0),join(X2,join(X1,X1))),
inference(forward_demodulation,[status(thm)],[f69,f3049]) ).
fof(f3051,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X2)),X1) = meet(join(meet(join(X1,X0),join(X1,X2)),X0),join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f12,f3050]) ).
fof(f3059,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),X2)) = meet(join(meet(join(X0,X2),join(X0,X1)),X2),join(join(X0,X1),X0)),
inference(forward_demodulation,[status(thm)],[f1060,f2995]) ).
fof(f3060,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),X2)) = meet(join(meet(join(X0,X2),join(X0,X1)),X2),join(X1,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f69,f3059]) ).
fof(f3061,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X2)),X1) = join(X1,meet(join(X1,X2),X0)),
inference(backward_demodulation,[status(thm)],[f3063,f3051]) ).
fof(f3062,plain,
! [X0,X1,X2] : join(meet(join(X0,X1),X2),X1) = join(X1,meet(join(X1,X0),X2)),
inference(backward_demodulation,[status(thm)],[f3063,f3036]) ).
fof(f3063,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),X2)) = meet(join(meet(join(X0,X2),join(X0,X1)),X2),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f12,f3060]) ).
fof(f3084,plain,
! [X0,X1,X2] : meet(join(meet(X0,join(X1,X2)),X1),join(X1,X2)) = join(X1,meet(join(X1,X2),X0)),
inference(backward_demodulation,[status(thm)],[f3061,f2071]) ).
fof(f3097,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,meet(join(X0,X1),X2)),X2)) = meet(join(X0,X2),join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f3062,f2848]) ).
fof(f3268,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(join(X0,meet(join(X0,X2),X1)),join(X1,X2))),
inference(backward_demodulation,[status(thm)],[f3062,f1667]) ).
fof(f3298,plain,
! [X0,X1,X2] : meet(join(X0,meet(join(X0,X1),X2)),join(X0,X1)) = join(X0,meet(join(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f3061,f3084]) ).
fof(f3299,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X0,join(X0,X1)),X2)) = join(X0,meet(join(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f2914,f3298]) ).
fof(f3309,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f13,f3299]) ).
fof(f3345,plain,
! [X0,X1,X2] : meet(join(X0,meet(join(X0,X1),X2)),join(X0,X2)) = meet(join(X0,X2),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f3309,f3097]) ).
fof(f3346,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),X2)) = meet(join(X0,X2),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2075,f3345]) ).
fof(f3813,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,join(X1,X2)),join(X0,meet(join(X0,X2),X1))),
inference(forward_demodulation,[status(thm)],[f3346,f3268]) ).
fof(f3814,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,join(X1,X2)),meet(join(X0,X1),join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f3346,f3813]) ).
fof(f3815,plain,
join(a,meet(b,c)) != join(a,meet(b,c)),
inference(backward_demodulation,[status(thm)],[f3850,f20]) ).
fof(f3850,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1326,f3814]) ).
fof(f4011,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f3815]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT009-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43 % Computer : n010.cluster.edu
% 0.10/0.43 % Model : x86_64 x86_64
% 0.10/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.43 % Memory : 8046.5625MB
% 0.10/0.43 % OS : Linux 6.8.0-71-generic
% 0.10/0.43 % CPULimit : 300
% 0.10/0.43 % WCLimit : 300
% 0.10/0.43 % DateTime : Sun Sep 20 23:04:58 UTC 2026
% 0.10/0.43 % CPUTime :
% 0.10/0.44 % Drodi V4.1.1
% 3.72/1.25 % Refutation found
% 3.72/1.25 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.72/1.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.51/5.59 % Elapsed time: 5.147107 seconds
% 17.51/5.59 % CPU time: 29.754265 seconds
% 17.51/5.59 % Total memory used: 16.354 GB
% 17.51/5.59 % Net memory used: 16.353 GB
%------------------------------------------------------------------------------