%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT143-1 : 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 0.14s 6.05s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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] : join(meet(X,Y),meet(Y,Z)) = join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
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] : join(meet(X0,X1),meet(X1,X2)) = join(meet(X0,X1),meet(X1,join(meet(X0,X1),meet(X2,join(X0,X1))))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f40,plain,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(b,a),join(meet(a,c),meet(c,join(a,b))))),
inference(paramodulation,[status(thm)],[f15,f20]) ).
fof(f41,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f50,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f54,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f41]) ).
fof(f60,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f54]) ).
fof(f63,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f50]) ).
fof(f71,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f63]) ).
fof(f79,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f60,f50]) ).
fof(f88,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f15,f71]) ).
fof(f134,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f135,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f196,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f18,f50]) ).
fof(f262,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f196]) ).
fof(f279,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f262]) ).
fof(f373,plain,
! [X0,X1] : meet(join(meet(X0,X1),X1),X1) = join(meet(X0,X1),X1),
inference(paramodulation,[status(thm)],[f41,f79]) ).
fof(f515,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f135]) ).
fof(f629,plain,
! [X0,X1] : meet(join(X0,X1),X1) = meet(X1,X1),
inference(paramodulation,[status(thm)],[f50,f515]) ).
fof(f675,plain,
! [X0,X1] : X0 = join(meet(X1,X0),X0),
inference(backward_demodulation,[status(thm)],[f677,f373]) ).
fof(f677,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f11,f629]) ).
fof(f1123,plain,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(b,a),join(meet(a,c),meet(c,join(b,a))))),
inference(paramodulation,[status(thm)],[f16,f40]) ).
fof(f1892,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = join(meet(X1,X0),meet(X0,join(meet(X1,X0),X2))),
inference(paramodulation,[status(thm)],[f134,f675]) ).
fof(f1990,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X2,join(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f1892,f19]) ).
fof(f2105,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),meet(X0,X2))) = meet(X0,join(meet(X1,X0),meet(X2,join(X1,X0)))),
inference(paramodulation,[status(thm)],[f1990,f88]) ).
fof(f2287,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),meet(X0,X2))) = join(meet(X1,X0),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1990,f2105]) ).
fof(f3768,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X0,join(X1,X2))),
inference(paramodulation,[status(thm)],[f279,f675]) ).
fof(f3846,plain,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(b,a),meet(c,join(b,a)))),
inference(backward_demodulation,[status(thm)],[f3768,f1123]) ).
fof(f3866,plain,
meet(a,join(meet(a,b),meet(a,c))) != join(meet(b,a),meet(a,c)),
inference(forward_demodulation,[status(thm)],[f1990,f3846]) ).
fof(f4881,plain,
meet(a,join(meet(b,a),meet(a,c))) != join(meet(b,a),meet(a,c)),
inference(paramodulation,[status(thm)],[f15,f3866]) ).
fof(f4885,plain,
join(meet(b,a),meet(a,c)) != join(meet(b,a),meet(a,c)),
inference(forward_demodulation,[status(thm)],[f2287,f4881]) ).
fof(f4886,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f4885]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT143-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n006.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sun Sep 20 23:15:07 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.14/6.05 % Refutation found
% 0.14/6.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/6.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.20/7.27 % Elapsed time: 1.678839 seconds
% 9.20/7.27 % CPU time: 4.359675 seconds
% 9.20/7.27 % Total memory used: 65.257 MB
% 9.20/7.27 % Net memory used: 63.652 MB
%------------------------------------------------------------------------------