%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT151-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:02:16 PM UTC 2026
% Result : Unsatisfiable 259.70s 33.42s
% Output : CNFRefutation 259.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 161 ( 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,U] : meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(U,meet(X,Z))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X0,X2))))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f40,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f46,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f49,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f40]) ).
fof(f55,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f49]) ).
fof(f58,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f46]) ).
fof(f66,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f58]) ).
fof(f74,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f55,f46]) ).
fof(f86,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f66,f40]) ).
fof(f112,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f118,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f126,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f17,f40]) ).
fof(f187,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(X2,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f126]) ).
fof(f199,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f187]) ).
fof(f291,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f313,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f18,f46]) ).
fof(f349,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,meet(X2,join(X0,join(X3,X4))))) = meet(X0,join(X1,meet(X2,join(X3,join(X4,meet(X0,X2)))))),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f386,plain,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(c,join(a,join(b,d))))),
inference(backward_demodulation,[status(thm)],[f349,f20]) ).
fof(f430,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f313]) ).
fof(f457,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f430]) ).
fof(f525,plain,
! [X0,X1,X2] : meet(join(meet(X0,meet(X1,X2)),X2),X2) = join(meet(X0,meet(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f126,f74]) ).
fof(f689,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X2,meet(X1,X0))) = join(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f66,f199]) ).
fof(f743,plain,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(c,join(a,join(d,b))))),
inference(paramodulation,[status(thm)],[f16,f386]) ).
fof(f755,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,meet(X2,join(X3,meet(join(X0,X4),X2))))) = meet(X0,meet(join(X0,X4),join(X1,meet(X2,join(join(X0,X4),X3))))),
inference(paramodulation,[status(thm)],[f19,f118]) ).
fof(f761,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),X2) = meet(join(X0,X1),meet(join(X0,join(X1,X3)),X2)),
inference(paramodulation,[status(thm)],[f18,f118]) ).
fof(f800,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,meet(X2,join(X3,meet(join(X0,X4),X2))))) = meet(X0,join(X1,meet(X2,join(join(X0,X4),X3)))),
inference(forward_demodulation,[status(thm)],[f118,f755]) ).
fof(f801,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,meet(X2,join(X3,meet(join(X0,X4),X2))))) = meet(X0,join(X1,meet(X2,join(X0,join(X4,X3))))),
inference(forward_demodulation,[status(thm)],[f18,f800]) ).
fof(f1523,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(X1,X0))) = meet(join(X0,X1),X2),
inference(paramodulation,[status(thm)],[f55,f457]) ).
fof(f1807,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X1,meet(join(X2,X0),X0)),
inference(paramodulation,[status(thm)],[f457,f112]) ).
fof(f1847,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(X1,X0))) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f74,f112]) ).
fof(f1978,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1523,f1847]) ).
fof(f2047,plain,
! [X0,X1,X2] : meet(join(X0,X1),X1) = meet(X1,join(X2,join(X0,X1))),
inference(paramodulation,[status(thm)],[f457,f1807]) ).
fof(f2121,plain,
! [X0,X1,X2] : X0 = join(meet(X1,meet(X2,X0)),X0),
inference(backward_demodulation,[status(thm)],[f2126,f525]) ).
fof(f2126,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f313,f2047]) ).
fof(f2849,plain,
! [X0,X1,X2] : meet(X0,X1) = join(meet(X2,meet(X1,X0)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f66,f2121]) ).
fof(f3929,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X2,meet(X1,X0))) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f86,f291]) ).
fof(f4082,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f689,f3929]) ).
fof(f8564,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f15,f1978]) ).
fof(f9372,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,X3))) = meet(X0,join(X1,meet(X3,X2))),
inference(paramodulation,[status(thm)],[f4082,f8564]) ).
fof(f54340,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(join(X0,X2),X3))) = meet(X0,join(join(X1,meet(join(X0,X2),X3)),meet(X3,join(X0,join(X2,X1))))),
inference(paramodulation,[status(thm)],[f40,f801]) ).
fof(f54695,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(join(X0,X2),X3))) = meet(X0,join(X1,join(meet(join(X0,X2),X3),meet(X3,join(X0,join(X2,X1)))))),
inference(forward_demodulation,[status(thm)],[f18,f54340]) ).
fof(f59900,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,join(X2,X3))) = join(meet(join(X1,X2),X0),meet(X0,join(X1,join(X2,X3)))),
inference(paramodulation,[status(thm)],[f761,f2849]) ).
fof(f60376,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(join(X0,X2),X3))) = meet(X0,join(X1,meet(X3,join(X0,join(X2,X1))))),
inference(backward_demodulation,[status(thm)],[f59900,f54695]) ).
fof(f60577,plain,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(join(a,d),c))),
inference(backward_demodulation,[status(thm)],[f60376,f743]) ).
fof(f60578,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f60577,f9372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT151-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 23:15:58 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 % Drodi V4.1.1
% 259.70/33.42 % Refutation found
% 259.70/33.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 259.70/33.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 35.40/33.61 % Elapsed time: 33.156615 seconds
% 35.40/33.61 % CPU time: 260.843213 seconds
% 35.40/33.61 % Total memory used: 772.884 MB
% 35.40/33.61 % Net memory used: 750.584 MB
%------------------------------------------------------------------------------