%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT013-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 01:02:04 PM UTC 2026
% Result : Unsatisfiable 7.65s 1.40s
% Output : CNFRefutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 72 ( 72 unt; 0 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 179 ( 179 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : join(X,meet(Y,meet(X,Z))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : meet(X,join(Y,join(X,Z))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : meet(meet(join(X,Y),join(Y,Z)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f17,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f16,f6]) ).
fof(f21,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f7,f6]) ).
fof(f23,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : meet(meet(X0,join(meet(X1,meet(X0,X2)),X3)),meet(X1,meet(X0,X2))) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f6,f9]) ).
fof(f33,plain,
! [X0] : join(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f16,f21]) ).
fof(f39,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f21,f16]) ).
fof(f44,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f33,f7]) ).
fof(f59,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f44,f21]) ).
fof(f72,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f17,f23]) ).
fof(f104,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f115,plain,
! [X0,X1,X2,X3] : join(join(meet(X0,meet(join(X1,X2),join(X2,X3))),X2),meet(join(X1,X2),join(X2,X3))) = meet(join(X1,X2),join(X2,X3)),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f214,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f23,f104]) ).
fof(f318,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X0,X2))) = meet(meet(join(X1,X0),join(X0,X2)),X0),
inference(paramodulation,[status(thm)],[f9,f72]) ).
fof(f329,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(paramodulation,[status(thm)],[f72,f104]) ).
fof(f339,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X0,X2))) = X0,
inference(forward_demodulation,[status(thm)],[f9,f318]) ).
fof(f370,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f329,f7]) ).
fof(f479,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
inference(paramodulation,[status(thm)],[f214,f9]) ).
fof(f577,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f214,f339]) ).
fof(f628,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X0,X2))),meet(X0,X2)) = meet(X0,X2),
inference(paramodulation,[status(thm)],[f17,f479]) ).
fof(f629,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X2,X0))),meet(X2,X0)) = meet(X2,X0),
inference(paramodulation,[status(thm)],[f21,f479]) ).
fof(f678,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,meet(X0,X2))) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f329,f25]) ).
fof(f1410,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f59,f577]) ).
fof(f1608,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)],[f1410,f115]) ).
fof(f1645,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f17,f1608]) ).
fof(f1895,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = meet(join(X1,X0),join(X0,X1)),
inference(paramodulation,[status(thm)],[f1645,f39]) ).
fof(f1951,plain,
! [X0,X1] : join(X0,X1) = meet(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1645,f1895]) ).
fof(f2015,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f1645,f1951]) ).
fof(f4073,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X0,meet(X1,X2))) = meet(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f6,f628]) ).
fof(f4350,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f17,f629]) ).
fof(f4686,plain,
! [X0,X1] : meet(meet(meet(X0,X1),meet(X1,X0)),meet(X0,X1)) = meet(meet(X1,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f4350,f4350]) ).
fof(f4725,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,meet(X1,X0))) = meet(meet(X1,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f4350,f370]) ).
fof(f4734,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f4350,f17]) ).
fof(f4767,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X1,X0)) = meet(meet(X1,X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f72,f4686]) ).
fof(f4768,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f4350,f4767]) ).
fof(f4776,plain,
meet(c,meet(a,b)) != meet(a,meet(b,c)),
inference(backward_demodulation,[status(thm)],[f4929,f10]) ).
fof(f4929,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f4350,f4768]) ).
fof(f5020,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,meet(X1,X0))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f4350,f4725]) ).
fof(f5808,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,meet(X0,X2))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f678,f17]) ).
fof(f5946,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,meet(X2,X0))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f39,f5808]) ).
fof(f5957,plain,
! [X0,X1,X2] : meet(meet(meet(X0,X1),X2),meet(X0,X2)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f5808,f5020]) ).
fof(f6049,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(meet(X0,X2),X1)) = meet(meet(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f4929,f5957]) ).
fof(f6972,plain,
! [X0,X1,X2] : join(meet(meet(X0,X1),meet(X0,X2)),meet(X2,meet(X0,X1))) = meet(meet(X0,X1),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f678,f5946]) ).
fof(f7015,plain,
! [X0,X1,X2] : meet(meet(meet(X0,X1),X2),meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f5946,f5020]) ).
fof(f7087,plain,
! [X0,X1,X2] : join(meet(X0,meet(X1,X2)),meet(meet(X1,X2),meet(X1,X0))) = meet(meet(X1,X2),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2015,f6972]) ).
fof(f7089,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X0)) = meet(X2,meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f7092,f4073]) ).
fof(f7092,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X1,X2),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f5946,f7087]) ).
fof(f7131,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(meet(X2,X0),X1)) = meet(meet(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f4929,f7015]) ).
fof(f7216,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X1)) = meet(X2,meet(X1,meet(X0,X1))),
inference(paramodulation,[status(thm)],[f39,f7089]) ).
fof(f7276,plain,
! [X0,X1,X2] : join(meet(meet(X0,X1),meet(X1,X2)),meet(X0,meet(X1,X2))) = meet(meet(X0,X1),meet(X1,X2)),
inference(paramodulation,[status(thm)],[f7089,f4734]) ).
fof(f7277,plain,
! [X0,X1,X2] : join(meet(X0,meet(X1,X2)),meet(meet(X0,X1),meet(X1,X2))) = meet(meet(X1,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f7089,f4734]) ).
fof(f7324,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(backward_demodulation,[status(thm)],[f7326,f7131]) ).
fof(f7325,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X0,X2)) = meet(meet(X0,X1),X2),
inference(backward_demodulation,[status(thm)],[f7326,f6049]) ).
fof(f7326,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X1)) = meet(X2,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f39,f7216]) ).
fof(f7358,plain,
! [X0,X1,X2] : join(meet(X0,meet(X1,X2)),meet(meet(X0,X1),meet(X1,X2))) = meet(meet(X0,X1),meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f2015,f7276]) ).
fof(f7359,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,X2)) = meet(meet(X1,X2),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f7358,f7277]) ).
fof(f7373,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,X2)) = meet(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f7089,f7359]) ).
fof(f7613,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f7373,f7324]) ).
fof(f7614,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f7092,f7325]) ).
fof(f7615,plain,
meet(a,meet(b,c)) != meet(a,meet(b,c)),
inference(backward_demodulation,[status(thm)],[f7641,f4776]) ).
fof(f7641,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(forward_demodulation,[status(thm)],[f7613,f7614]) ).
fof(f7911,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f7615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT013-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 23:07:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 7.65/1.40 % Refutation found
% 7.65/1.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.65/1.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.43/2.65 % Elapsed time: 2.064024 seconds
% 10.43/2.65 % CPU time: 6.718794 seconds
% 10.43/2.65 % Total memory used: 142.674 MB
% 10.43/2.65 % Net memory used: 137.639 MB
%------------------------------------------------------------------------------