%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL001-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:03:09 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.65s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of formulae : 70 ( 70 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(zero,sk1) != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
join(zero,sk1) != sk1,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f18,f31]) ).
fof(f34,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f32]) ).
fof(f42,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f48,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f16,f42]) ).
fof(f50,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f27,f34]) ).
fof(f51,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f15,f34]) ).
fof(f53,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f34,f16]) ).
fof(f54,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f18,f50]) ).
fof(f58,plain,
! [X0,X1] : join(zero,join(meet(X0,X0),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f54,f16]) ).
fof(f59,plain,
! [X0] : join(zero,X0) = join(X0,complement(join(complement(X0),X0))),
inference(paramodulation,[status(thm)],[f34,f58]) ).
fof(f60,plain,
! [X0,X1] : join(zero,join(X0,meet(X1,X1))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f15,f58]) ).
fof(f63,plain,
! [X0] : join(zero,X0) = join(X0,complement(join(X0,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f59]) ).
fof(f64,plain,
! [X0] : join(zero,X0) = join(X0,complement(top)),
inference(forward_demodulation,[status(thm)],[f26,f63]) ).
fof(f68,plain,
! [X0] : join(zero,X0) = join(complement(top),X0),
inference(paramodulation,[status(thm)],[f15,f64]) ).
fof(f93,plain,
! [X0,X1] : join(X0,meet(X1,X1)) = join(X1,meet(X0,X0)),
inference(paramodulation,[status(thm)],[f58,f60]) ).
fof(f121,plain,
! [X0] : X0 = join(X0,meet(zero,zero)),
inference(paramodulation,[status(thm)],[f54,f93]) ).
fof(f164,plain,
complement(top) = join(zero,meet(zero,zero)),
inference(paramodulation,[status(thm)],[f68,f121]) ).
fof(f168,plain,
! [X0] : X0 = join(meet(zero,zero),X0),
inference(paramodulation,[status(thm)],[f15,f121]) ).
fof(f186,plain,
complement(top) = zero,
inference(forward_demodulation,[status(thm)],[f54,f164]) ).
fof(f195,plain,
zero = meet(top,zero),
inference(paramodulation,[status(thm)],[f186,f27]) ).
fof(f413,plain,
top = join(top,zero),
inference(paramodulation,[status(thm)],[f186,f26]) ).
fof(f414,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f26,f34]) ).
fof(f415,plain,
! [X0] : join(zero,top) = join(X0,complement(meet(X0,X0))),
inference(paramodulation,[status(thm)],[f26,f58]) ).
fof(f423,plain,
top = join(zero,top),
inference(forward_demodulation,[status(thm)],[f15,f413]) ).
fof(f424,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f414]) ).
fof(f425,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f186,f424]) ).
fof(f426,plain,
! [X0] : top = join(X0,complement(meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f423,f415]) ).
fof(f457,plain,
complement(meet(meet(zero,zero),meet(zero,zero))) = top,
inference(paramodulation,[status(thm)],[f426,f168]) ).
fof(f458,plain,
complement(meet(zero,zero)) = top,
inference(paramodulation,[status(thm)],[f26,f168]) ).
fof(f576,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f579,plain,
! [X0] : meet(meet(zero,zero),X0) = complement(join(top,complement(X0))),
inference(paramodulation,[status(thm)],[f458,f18]) ).
fof(f595,plain,
zero = meet(zero,top),
inference(backward_demodulation,[status(thm)],[f600,f195]) ).
fof(f600,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f18,f576]) ).
fof(f603,plain,
complement(complement(join(top,complement(meet(zero,zero))))) = top,
inference(backward_demodulation,[status(thm)],[f579,f457]) ).
fof(f625,plain,
complement(complement(join(top,top))) = top,
inference(forward_demodulation,[status(thm)],[f458,f603]) ).
fof(f684,plain,
! [X0,X1] : join(meet(meet(zero,zero),X0),join(complement(join(top,X0)),X1)) = join(meet(zero,zero),X1),
inference(paramodulation,[status(thm)],[f458,f53]) ).
fof(f723,plain,
! [X0,X1] : join(complement(join(top,X0)),join(meet(meet(zero,zero),X0),X1)) = join(meet(zero,zero),X1),
inference(forward_demodulation,[status(thm)],[f48,f684]) ).
fof(f724,plain,
! [X0,X1] : join(complement(join(top,X0)),join(complement(join(top,complement(X0))),X1)) = join(meet(zero,zero),X1),
inference(forward_demodulation,[status(thm)],[f579,f723]) ).
fof(f725,plain,
! [X0,X1] : join(complement(join(top,X0)),join(complement(join(top,complement(X0))),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f168,f724]) ).
fof(f767,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(paramodulation,[status(thm)],[f595,f51]) ).
fof(f784,plain,
! [X0,X1] : join(meet(complement(join(top,top)),X0),join(complement(join(top,X0)),X1)) = join(complement(join(top,top)),X1),
inference(paramodulation,[status(thm)],[f625,f53]) ).
fof(f785,plain,
! [X0] : meet(X0,complement(join(top,top))) = complement(join(complement(X0),top)),
inference(paramodulation,[status(thm)],[f625,f18]) ).
fof(f786,plain,
! [X0] : meet(complement(join(top,top)),X0) = complement(join(top,complement(X0))),
inference(paramodulation,[status(thm)],[f625,f18]) ).
fof(f787,plain,
complement(join(top,top)) = join(zero,meet(complement(join(top,top)),complement(top))),
inference(paramodulation,[status(thm)],[f625,f425]) ).
fof(f795,plain,
! [X0,X1] : join(complement(join(top,X0)),join(meet(complement(join(top,top)),X0),X1)) = join(complement(join(top,top)),X1),
inference(forward_demodulation,[status(thm)],[f48,f784]) ).
fof(f796,plain,
! [X0] : meet(X0,complement(join(top,top))) = complement(join(top,complement(X0))),
inference(forward_demodulation,[status(thm)],[f15,f785]) ).
fof(f798,plain,
! [X0,X1] : join(complement(join(top,X0)),join(complement(join(top,complement(X0))),X1)) = join(complement(join(top,top)),X1),
inference(backward_demodulation,[status(thm)],[f786,f795]) ).
fof(f799,plain,
complement(join(top,top)) = join(zero,meet(complement(top),complement(join(top,top)))),
inference(forward_demodulation,[status(thm)],[f600,f787]) ).
fof(f800,plain,
complement(join(top,top)) = join(zero,complement(join(top,complement(complement(top))))),
inference(forward_demodulation,[status(thm)],[f796,f799]) ).
fof(f801,plain,
complement(join(top,top)) = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[status(thm)],[f186,f800]) ).
fof(f806,plain,
complement(join(top,top)) = zero,
inference(forward_demodulation,[status(thm)],[f767,f801]) ).
fof(f833,plain,
! [X0] : X0 = join(complement(join(top,top)),X0),
inference(forward_demodulation,[status(thm)],[f725,f798]) ).
fof(f840,plain,
sk1 != sk1,
inference(backward_demodulation,[status(thm)],[f863,f28]) ).
fof(f863,plain,
! [X0] : X0 = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f806,f833]) ).
fof(f898,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f840]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL001-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n018.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 03:59:30 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.14/0.65 % Refutation found
% 0.14/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.67 % Elapsed time: 0.102493 seconds
% 0.14/0.67 % CPU time: 0.694320 seconds
% 0.14/0.67 % Total memory used: 19.500 MB
% 0.14/0.67 % Net memory used: 19.142 MB
%------------------------------------------------------------------------------