%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT027-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:02:06 PM UTC 2026
% Result : Unsatisfiable 5.19s 1.15s
% Output : CNFRefutation 5.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 123 ( 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : join(join(meet(X,Y),meet(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [X,Y,Z] : meet(X,join(Y,join(X,Z))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
join(join(a,b),c) != join(a,join(b,c)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f12,f14]) ).
fof(f24,plain,
join(c,join(a,b)) != join(a,join(b,c)),
inference(forward_demodulation,[status(thm)],[f12,f16]) ).
fof(f31,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f10,f23]) ).
fof(f42,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f11,f31]) ).
fof(f111,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f10,f15]) ).
fof(f112,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f42,f15]) ).
fof(f160,plain,
! [X0,X1] : join(join(X0,X1),X1) = join(X0,X1),
inference(paramodulation,[status(thm)],[f112,f31]) ).
fof(f161,plain,
! [X0,X1,X2] : join(join(X0,X1),join(meet(X2,join(X0,X1)),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f112,f23]) ).
fof(f176,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f12,f160]) ).
fof(f177,plain,
! [X0,X1,X2] : join(join(X0,X1),join(X1,meet(X2,join(X0,X1)))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f12,f161]) ).
fof(f239,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f111,f31]) ).
fof(f240,plain,
! [X0,X1,X2] : join(join(X0,X1),join(meet(X2,join(X0,X1)),X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f111,f23]) ).
fof(f249,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f12,f239]) ).
fof(f250,plain,
! [X0,X1,X2] : join(join(X0,X1),join(X0,meet(X2,join(X0,X1)))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f12,f240]) ).
fof(f370,plain,
! [X0,X1,X2] : join(join(X0,X1),join(X0,meet(X2,join(X1,X0)))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f12,f177]) ).
fof(f376,plain,
! [X0,X1] : join(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f111,f177]) ).
fof(f659,plain,
! [X0,X1,X2] : join(join(X0,join(X1,X2)),join(X0,X1)) = join(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f15,f250]) ).
fof(f735,plain,
! [X0,X1,X2] : join(join(X0,X1),join(X0,join(X1,X2))) = join(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f12,f659]) ).
fof(f792,plain,
! [X0,X1,X2] : join(join(X0,X1),join(join(X0,X1),meet(X2,join(join(X1,X0),join(X0,X1))))) = join(join(X1,X0),join(X0,X1)),
inference(paramodulation,[status(thm)],[f376,f370]) ).
fof(f845,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,join(X1,X0))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f370,f15]) ).
fof(f860,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(X2,join(join(X1,X0),join(X0,X1)))) = join(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f249,f792]) ).
fof(f861,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(X2,join(X1,X0))) = join(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f376,f860]) ).
fof(f863,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(X2,join(X1,X0))) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f376,f861]) ).
fof(f1015,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(join(X1,X0),X2)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f11,f863]) ).
fof(f1244,plain,
! [X0,X1,X2] : join(join(X0,join(X1,X2)),join(X0,join(X2,X1))) = join(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f845,f250]) ).
fof(f2267,plain,
! [X0,X1,X2,X3] : join(join(X0,join(X1,X2)),join(X0,join(X2,X1))) = join(X0,join(join(X1,X2),meet(join(X2,X1),X3))),
inference(paramodulation,[status(thm)],[f1015,f735]) ).
fof(f2318,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f735,f111]) ).
fof(f2367,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,X2)) = join(X0,join(join(X1,X2),meet(join(X2,X1),X3))),
inference(forward_demodulation,[status(thm)],[f1244,f2267]) ).
fof(f2368,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f1015,f2367]) ).
fof(f2500,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,join(X2,X1))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f176,f2318]) ).
fof(f2509,plain,
! [X0,X1,X2] : join(join(join(X0,X1),X2),join(join(X0,X1),join(X2,X0))) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f2318,f370]) ).
fof(f2584,plain,
! [X0,X1,X2] : join(join(X0,X1),join(X2,X0)) = join(X2,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f735,f2509]) ).
fof(f2658,plain,
! [X0,X1,X2] : join(join(join(X0,X1),X2),join(X2,X1)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f2500,f863]) ).
fof(f2729,plain,
! [X0,X1,X2] : join(join(X0,X1),join(join(X2,X1),X0)) = join(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f12,f2658]) ).
fof(f2730,plain,
! [X0,X1,X2] : join(join(X0,X1),join(X2,X1)) = join(X2,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2584,f2729]) ).
fof(f4133,plain,
! [X0,X1,X2] : join(join(X0,X1),join(X2,X1)) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f12,f2730]) ).
fof(f4229,plain,
join(a,join(c,b)) != join(a,join(b,c)),
inference(backward_demodulation,[status(thm)],[f4270,f24]) ).
fof(f4270,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f2730,f4133]) ).
fof(f4394,plain,
join(a,join(b,c)) != join(a,join(b,c)),
inference(forward_demodulation,[status(thm)],[f2368,f4229]) ).
fof(f4395,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f4394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT027-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n019.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 20 23:07:19 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.43 % Drodi V4.1.1
% 5.19/1.15 % Refutation found
% 5.19/1.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.19/1.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.19/1.18 % Elapsed time: 0.740592 seconds
% 5.19/1.18 % CPU time: 5.678001 seconds
% 5.19/1.18 % Total memory used: 99.139 MB
% 5.19/1.18 % Net memory used: 97.042 MB
%------------------------------------------------------------------------------