%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT168-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 01:02:18 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.75s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 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 : 120 ( 120 !; 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] : meet(join(X,Y),join(X,Z)) = join(X,meet(join(X,Y),meet(join(X,Z),join(Y,meet(X,Z))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
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] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),meet(join(X0,X2),join(X1,meet(X0,X2))))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
meet(a,join(c,b)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
inference(forward_demodulation,[status(thm)],[f16,f20]) ).
fof(f31,plain,
meet(a,join(c,b)) != meet(a,join(b,meet(join(b,a),join(c,meet(a,b))))),
inference(forward_demodulation,[status(thm)],[f16,f30]) ).
fof(f32,plain,
meet(a,join(c,b)) != meet(a,join(b,meet(join(b,a),join(c,meet(b,a))))),
inference(forward_demodulation,[status(thm)],[f15,f31]) ).
fof(f41,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f44,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f41]) ).
fof(f50,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f44]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f58,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f41,f55]) ).
fof(f66,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f15,f58]) ).
fof(f76,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f50,f55]) ).
fof(f132,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f139,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f140,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f149,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f17,f41]) ).
fof(f164,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f140]) ).
fof(f194,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f18,f55]) ).
fof(f224,plain,
! [X0,X1,X2] : join(X0,meet(meet(X1,X0),X2)) = X0,
inference(paramodulation,[status(thm)],[f15,f149]) ).
fof(f242,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(forward_demodulation,[status(thm)],[f17,f224]) ).
fof(f262,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f194]) ).
fof(f279,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f262]) ).
fof(f310,plain,
! [X0,X1,X2] : meet(meet(X0,meet(X1,X2)),X1) = meet(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f242,f55]) ).
fof(f317,plain,
! [X0,X1,X2] : meet(X0,meet(meet(X1,X2),X1)) = meet(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f17,f310]) ).
fof(f318,plain,
! [X0,X1,X2] : meet(X0,meet(X1,meet(X2,X1))) = meet(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f17,f317]) ).
fof(f319,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f66,f318]) ).
fof(f535,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(X0,X2)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f139,f242]) ).
fof(f561,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X0,X2))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f535]) ).
fof(f1422,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(X1,X0))) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f76,f132]) ).
fof(f1440,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X2),meet(join(X1,meet(X0,X2)),join(X0,X1)))),
inference(paramodulation,[status(thm)],[f132,f19]) ).
fof(f1549,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X2),meet(join(X0,X1),join(X1,meet(X0,X2))))),
inference(forward_demodulation,[status(thm)],[f319,f1440]) ).
fof(f2049,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(join(X1,X2),meet(X0,join(X2,X1))),
inference(paramodulation,[status(thm)],[f76,f164]) ).
fof(f2183,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f1422,f2049]) ).
fof(f2316,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X1,X0)) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f561,f55]) ).
fof(f2360,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X2),join(X1,meet(X0,X2)))),
inference(backward_demodulation,[status(thm)],[f2361,f1549]) ).
fof(f2361,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X1,meet(X0,X2))) = join(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f15,f2316]) ).
fof(f2362,plain,
meet(a,join(c,b)) != meet(a,meet(join(b,c),join(b,a))),
inference(backward_demodulation,[status(thm)],[f2360,f32]) ).
fof(f2364,plain,
meet(a,join(c,b)) != meet(a,join(b,c)),
inference(forward_demodulation,[status(thm)],[f279,f2362]) ).
fof(f2365,plain,
meet(a,join(c,b)) != meet(a,join(c,b)),
inference(forward_demodulation,[status(thm)],[f2183,f2364]) ).
fof(f2366,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT168-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n026.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 20 23:19:53 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.75 % Refutation found
% 0.15/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.87/1.98 % Elapsed time: 1.330281 seconds
% 7.87/1.98 % CPU time: 2.026818 seconds
% 7.87/1.98 % Total memory used: 29.102 MB
% 7.87/1.98 % Net memory used: 28.492 MB
%------------------------------------------------------------------------------