%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT249-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 01:02:24 PM UTC 2026
% Result : Unsatisfiable 13.89s 2.25s
% Output : CNFRefutation 13.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 47 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 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] : join(X,complement(X)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : meet(X,complement(X)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( complement(X) = Y
| join(X,Y) != one
| meet(X,Y) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = meet(X,join(Y,meet(X,join(Z,meet(X,join(Y,meet(X,Z))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0] : join(X0,complement(X0)) = one,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0] : meet(X0,complement(X0)) = zero,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0,X1] :
( complement(X0) = X1
| join(X0,X1) != one
| meet(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,join(X2,meet(X0,join(X1,meet(X0,X2))))))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
meet(b,a) = a,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
join(complement(b),complement(a)) != complement(a),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f45,plain,
! [X0] : meet(X0,one) = X0,
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f46,plain,
! [X0] : meet(one,X0) = X0,
inference(paramodulation,[status(thm)],[f19,f45]) ).
fof(f55,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f75,plain,
! [X0] : one = join(one,X0),
inference(paramodulation,[status(thm)],[f17,f46]) ).
fof(f104,plain,
! [X0,X1] : join(one,X0) = join(X1,join(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f23,f22]) ).
fof(f118,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f75,f104]) ).
fof(f142,plain,
! [X0] : join(X0,zero) = X0,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f148,plain,
! [X0] : join(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f142]) ).
fof(f182,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,join(X1,zero)))))),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f246,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f142,f182]) ).
fof(f269,plain,
! [X0] : zero = meet(zero,X0),
inference(paramodulation,[status(thm)],[f18,f148]) ).
fof(f301,plain,
meet(a,b) = a,
inference(paramodulation,[status(thm)],[f19,f27]) ).
fof(f312,plain,
! [X0] : zero = meet(X0,zero),
inference(paramodulation,[status(thm)],[f19,f269]) ).
fof(f356,plain,
( join(a,join(complement(b),complement(a))) != one
| meet(a,join(complement(b),complement(a))) != zero ),
inference(resolution,[status(thm)],[f28,f25]) ).
fof(f554,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = meet(X1,zero),
inference(paramodulation,[status(thm)],[f24,f55]) ).
fof(f619,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = zero,
inference(forward_demodulation,[status(thm)],[f312,f554]) ).
fof(f797,plain,
! [X0,X1] : one = join(X0,join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f20,f118]) ).
fof(f811,plain,
( one != one
| meet(a,join(complement(b),complement(a))) != zero ),
inference(backward_demodulation,[status(thm)],[f797,f356]) ).
fof(f816,plain,
meet(a,join(complement(b),complement(a))) != zero,
inference(trivial_equality_resolution,[status(thm)],[f811]) ).
fof(f2453,plain,
meet(complement(b),a) = zero,
inference(paramodulation,[status(thm)],[f301,f619]) ).
fof(f2762,plain,
meet(a,complement(b)) = zero,
inference(paramodulation,[status(thm)],[f19,f2453]) ).
fof(f7256,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),meet(a,join(complement(a),zero)))),
inference(paramodulation,[status(thm)],[f2762,f246]) ).
fof(f7427,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),meet(a,complement(a)))),
inference(forward_demodulation,[status(thm)],[f142,f7256]) ).
fof(f7428,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),zero)),
inference(forward_demodulation,[status(thm)],[f24,f7427]) ).
fof(f7429,plain,
meet(a,join(complement(b),complement(a))) = meet(a,complement(b)),
inference(forward_demodulation,[status(thm)],[f142,f7428]) ).
fof(f7430,plain,
meet(a,join(complement(b),complement(a))) = zero,
inference(forward_demodulation,[status(thm)],[f2762,f7429]) ).
fof(f7431,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7430,f816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT249-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n020.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 23:24:02 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 % Drodi V4.1.1
% 13.89/2.25 % Refutation found
% 13.89/2.25 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.89/2.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.89/2.30 % Elapsed time: 1.857467 seconds
% 13.89/2.30 % CPU time: 14.351744 seconds
% 13.89/2.30 % Total memory used: 169.000 MB
% 13.89/2.30 % Net memory used: 166.703 MB
%------------------------------------------------------------------------------