%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% 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 01:02:08 PM UTC 2026
% Result : Unsatisfiable 20.05s 3.16s
% Output : CNFRefutation 20.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 90 ( 90 unt; 7 def)
% Number of atoms : 90 ( 89 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 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] : complement(join(X,Y)) = meet(complement(X),complement(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : complement(meet(X,Y)) = join(complement(X),complement(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : join(complement(X),X) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : complement(complement(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y] : join(X,meet(complement(X),join(X,Y))) = join(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f23,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
! [X0] : join(complement(X0),X0) = n1,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
! [X0] : complement(complement(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f29,plain,
! [X0,X1] : join(X0,meet(complement(X0),join(X0,X1))) = join(X0,X1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f30,plain,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f31,definition,
sF2_fnc = complement(a),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f32,definition,
sF3_fnc = join(a,b),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f33,definition,
sF1_fnc = meet(sF2_fnc,sF3_fnc),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f34,definition,
sF5_fnc = complement(b),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f35,definition,
sF6_fnc = meet(a,b),
introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).
fof(f36,definition,
sF4_fnc = join(sF5_fnc,sF6_fnc),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f37,definition,
sF0_fnc = join(sF1_fnc,sF4_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f38,plain,
sF0_fnc != n1,
inference(definition_folding,[],[f30,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f39,plain,
! [X0] : join(X0,complement(X0)) = n1,
inference(forward_demodulation,[status(thm)],[f21,f26]) ).
fof(f41,plain,
sF3_fnc = join(b,a),
inference(forward_demodulation,[status(thm)],[f21,f32]) ).
fof(f42,plain,
sF1_fnc = meet(sF3_fnc,sF2_fnc),
inference(forward_demodulation,[status(thm)],[f20,f33]) ).
fof(f43,plain,
sF6_fnc = meet(b,a),
inference(forward_demodulation,[status(thm)],[f20,f35]) ).
fof(f44,plain,
sF4_fnc = join(sF6_fnc,sF5_fnc),
inference(forward_demodulation,[status(thm)],[f21,f36]) ).
fof(f45,plain,
sF0_fnc = join(sF4_fnc,sF1_fnc),
inference(forward_demodulation,[status(thm)],[f21,f37]) ).
fof(f47,plain,
complement(sF2_fnc) = a,
inference(paramodulation,[status(thm)],[f31,f28]) ).
fof(f59,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f19]) ).
fof(f65,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f21,f18]) ).
fof(f254,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X1),complement(X0)),
inference(paramodulation,[status(thm)],[f20,f24]) ).
fof(f261,plain,
! [X0] : complement(join(b,X0)) = meet(sF5_fnc,complement(X0)),
inference(paramodulation,[status(thm)],[f34,f24]) ).
fof(f278,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f24,f254]) ).
fof(f304,plain,
! [X0] : join(sF4_fnc,X0) = join(sF6_fnc,join(sF5_fnc,X0)),
inference(paramodulation,[status(thm)],[f44,f23]) ).
fof(f306,plain,
! [X0] : join(sF0_fnc,X0) = join(sF4_fnc,join(sF1_fnc,X0)),
inference(paramodulation,[status(thm)],[f45,f23]) ).
fof(f307,plain,
meet(sF4_fnc,sF0_fnc) = sF4_fnc,
inference(paramodulation,[status(thm)],[f45,f18]) ).
fof(f317,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f22,f59]) ).
fof(f340,plain,
meet(sF5_fnc,sF4_fnc) = sF5_fnc,
inference(paramodulation,[status(thm)],[f44,f65]) ).
fof(f341,plain,
meet(a,sF3_fnc) = a,
inference(paramodulation,[status(thm)],[f41,f65]) ).
fof(f360,plain,
meet(sF3_fnc,a) = a,
inference(forward_demodulation,[status(thm)],[f20,f341]) ).
fof(f366,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),complement(X0)),
inference(paramodulation,[status(thm)],[f21,f25]) ).
fof(f372,plain,
! [X0] : complement(meet(sF2_fnc,X0)) = join(a,complement(X0)),
inference(paramodulation,[status(thm)],[f47,f25]) ).
fof(f373,plain,
! [X0] : complement(meet(b,X0)) = join(sF5_fnc,complement(X0)),
inference(paramodulation,[status(thm)],[f34,f25]) ).
fof(f382,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f28,f25]) ).
fof(f391,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f25,f366]) ).
fof(f450,plain,
! [X0,X1] : join(complement(X0),meet(complement(complement(X0)),complement(meet(X0,X1)))) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f25,f29]) ).
fof(f482,plain,
! [X0,X1] : join(complement(X0),complement(join(complement(X0),meet(X0,X1)))) = join(complement(X0),complement(X1)),
inference(forward_demodulation,[status(thm)],[f24,f450]) ).
fof(f483,plain,
! [X0,X1] : complement(meet(X0,join(complement(X0),meet(X0,X1)))) = join(complement(X0),complement(X1)),
inference(forward_demodulation,[status(thm)],[f25,f482]) ).
fof(f484,plain,
! [X0,X1] : complement(meet(X0,join(complement(X0),meet(X0,X1)))) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f25,f483]) ).
fof(f1244,plain,
! [X0] : join(sF0_fnc,meet(X0,sF4_fnc)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f307,f317]) ).
fof(f3698,plain,
join(sF0_fnc,sF5_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f340,f1244]) ).
fof(f3720,plain,
join(sF5_fnc,sF0_fnc) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f21,f3698]) ).
fof(f3759,plain,
meet(sF5_fnc,sF0_fnc) = sF5_fnc,
inference(paramodulation,[status(thm)],[f3720,f18]) ).
fof(f3803,plain,
! [X0] : join(sF0_fnc,meet(X0,sF5_fnc)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f3759,f317]) ).
fof(f6872,plain,
! [X0,X1,X2] : complement(meet(X0,join(X1,X2))) = join(complement(X0),complement(join(X2,X1))),
inference(paramodulation,[status(thm)],[f278,f25]) ).
fof(f6915,plain,
! [X0,X1,X2] : complement(meet(X0,join(X1,X2))) = complement(meet(X0,join(X2,X1))),
inference(forward_demodulation,[status(thm)],[f25,f6872]) ).
fof(f7319,plain,
complement(join(b,a)) = meet(sF5_fnc,sF2_fnc),
inference(paramodulation,[status(thm)],[f31,f261]) ).
fof(f7362,plain,
complement(sF3_fnc) = meet(sF5_fnc,sF2_fnc),
inference(forward_demodulation,[status(thm)],[f41,f7319]) ).
fof(f8985,plain,
! [X0] : join(sF0_fnc,meet(sF5_fnc,X0)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f20,f3803]) ).
fof(f12804,plain,
join(sF0_fnc,complement(sF3_fnc)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f7362,f8985]) ).
fof(f13369,plain,
complement(meet(b,a)) = join(sF5_fnc,sF2_fnc),
inference(paramodulation,[status(thm)],[f31,f373]) ).
fof(f13417,plain,
complement(sF6_fnc) = join(sF5_fnc,sF2_fnc),
inference(forward_demodulation,[status(thm)],[f43,f13369]) ).
fof(f13455,plain,
join(sF4_fnc,sF2_fnc) = join(sF6_fnc,complement(sF6_fnc)),
inference(paramodulation,[status(thm)],[f13417,f304]) ).
fof(f13477,plain,
join(sF4_fnc,sF2_fnc) = n1,
inference(forward_demodulation,[status(thm)],[f39,f13455]) ).
fof(f14796,plain,
! [X0,X1,X2] : complement(meet(X0,complement(meet(X1,X2)))) = join(complement(X0),meet(X2,X1)),
inference(paramodulation,[status(thm)],[f391,f382]) ).
fof(f14881,plain,
! [X0,X1,X2] : join(complement(X0),meet(X1,X2)) = join(complement(X0),meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f382,f14796]) ).
fof(f20714,plain,
complement(meet(sF3_fnc,join(complement(sF3_fnc),a))) = complement(meet(sF3_fnc,a)),
inference(paramodulation,[status(thm)],[f360,f484]) ).
fof(f21230,plain,
complement(meet(sF3_fnc,join(a,complement(sF3_fnc)))) = complement(meet(sF3_fnc,a)),
inference(forward_demodulation,[status(thm)],[f6915,f20714]) ).
fof(f21231,plain,
complement(meet(sF3_fnc,complement(meet(sF2_fnc,sF3_fnc)))) = complement(meet(sF3_fnc,a)),
inference(forward_demodulation,[status(thm)],[f372,f21230]) ).
fof(f21232,plain,
join(complement(sF3_fnc),meet(sF2_fnc,sF3_fnc)) = complement(meet(sF3_fnc,a)),
inference(forward_demodulation,[status(thm)],[f382,f21231]) ).
fof(f21233,plain,
join(complement(sF3_fnc),meet(sF3_fnc,sF2_fnc)) = complement(meet(sF3_fnc,a)),
inference(forward_demodulation,[status(thm)],[f14881,f21232]) ).
fof(f21234,plain,
join(complement(sF3_fnc),sF1_fnc) = complement(meet(sF3_fnc,a)),
inference(forward_demodulation,[status(thm)],[f42,f21233]) ).
fof(f21235,plain,
join(sF1_fnc,complement(sF3_fnc)) = complement(meet(sF3_fnc,a)),
inference(forward_demodulation,[status(thm)],[f21,f21234]) ).
fof(f21236,plain,
join(sF1_fnc,complement(sF3_fnc)) = complement(a),
inference(forward_demodulation,[status(thm)],[f360,f21235]) ).
fof(f21238,plain,
join(sF1_fnc,complement(sF3_fnc)) = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f31,f21236]) ).
fof(f21392,plain,
join(sF0_fnc,complement(sF3_fnc)) = join(sF4_fnc,sF2_fnc),
inference(paramodulation,[status(thm)],[f21238,f306]) ).
fof(f21416,plain,
sF0_fnc = join(sF4_fnc,sF2_fnc),
inference(forward_demodulation,[status(thm)],[f12804,f21392]) ).
fof(f21417,plain,
sF0_fnc = n1,
inference(forward_demodulation,[status(thm)],[f13477,f21416]) ).
fof(f21418,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f21417,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.55 % Computer : n006.cluster.edu
% 0.08/0.55 % Model : x86_64 x86_64
% 0.08/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.55 % Memory : 8046.5625MB
% 0.08/0.55 % OS : Linux 6.8.0-71-generic
% 0.08/0.55 % CPULimit : 300
% 0.08/0.55 % WCLimit : 300
% 0.08/0.55 % DateTime : Sun Sep 20 23:07:58 UTC 2026
% 0.08/0.55 % CPUTime :
% 0.14/0.56 % Drodi V4.1.1
% 20.05/3.16 % Refutation found
% 20.05/3.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.05/3.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.89/3.24 % Elapsed time: 2.666360 seconds
% 3.89/3.24 % CPU time: 20.920152 seconds
% 3.89/3.24 % Total memory used: 159.600 MB
% 3.89/3.24 % Net memory used: 150.734 MB
%------------------------------------------------------------------------------