%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 01:02:05 PM UTC 2026
% Result : Unsatisfiable 0.98s 0.59s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 82 ( 82 unt; 11 def)
% Number of atoms : 82 ( 81 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : join(complement(X),X) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : meet(complement(X),X) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : complement(complement(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] : join(X,join(Y,complement(Y))) = join(Y,complement(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : meet(X,Y) = complement(join(complement(X),complement(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b)) != n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : join(complement(X0),X0) = n1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0] : meet(complement(X0),X0) = n0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0] : complement(complement(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,plain,
! [X0,X1] : join(X0,join(X1,complement(X1))) = join(X1,complement(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b)) != n1,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f23,definition,
sF5_fnc = complement(a),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f24,definition,
sF4_fnc = meet(sF5_fnc,b),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f25,definition,
sF7_fnc = complement(b),
introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition]) ).
fof(f26,definition,
sF6_fnc = meet(sF5_fnc,sF7_fnc),
introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).
fof(f27,definition,
sF3_fnc = join(sF4_fnc,sF6_fnc),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f28,definition,
sF9_fnc = join(sF5_fnc,b),
introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition]) ).
fof(f29,definition,
sF8_fnc = meet(a,sF9_fnc),
introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition]) ).
fof(f30,definition,
sF2_fnc = join(sF3_fnc,sF8_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f31,definition,
sF1_fnc = complement(sF2_fnc),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f32,definition,
sF10_fnc = join(sF5_fnc,b),
introduced(definition,[new_symbols(definition,[sF10_fnc])],[function_definition]) ).
fof(f33,definition,
sF0_fnc = join(sF1_fnc,sF10_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f34,plain,
sF0_fnc != n1,
inference(definition_folding,[],[f22,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23]) ).
fof(f35,plain,
! [X0] : meet(X0,complement(X0)) = n0,
inference(backward_demodulation,[status(thm)],[f15,f13]) ).
fof(f36,plain,
! [X0] : join(X0,complement(X0)) = n1,
inference(backward_demodulation,[status(thm)],[f16,f12]) ).
fof(f37,plain,
sF4_fnc = meet(b,sF5_fnc),
inference(forward_demodulation,[status(thm)],[f15,f24]) ).
fof(f38,plain,
sF9_fnc = join(b,sF5_fnc),
inference(forward_demodulation,[status(thm)],[f16,f28]) ).
fof(f39,plain,
sF10_fnc = join(b,sF5_fnc),
inference(forward_demodulation,[status(thm)],[f16,f32]) ).
fof(f40,plain,
sF10_fnc = sF9_fnc,
inference(forward_demodulation,[status(thm)],[f38,f39]) ).
fof(f41,plain,
sF0_fnc = join(sF1_fnc,sF9_fnc),
inference(forward_demodulation,[status(thm)],[f40,f33]) ).
fof(f42,plain,
! [X0,X1] : join(X0,join(X1,complement(X1))) = n1,
inference(backward_demodulation,[status(thm)],[f36,f20]) ).
fof(f43,plain,
! [X0] : join(X0,n1) = n1,
inference(forward_demodulation,[status(thm)],[f36,f42]) ).
fof(f45,plain,
complement(sF1_fnc) = sF2_fnc,
inference(paramodulation,[status(thm)],[f31,f19]) ).
fof(f52,plain,
join(sF5_fnc,sF6_fnc) = sF5_fnc,
inference(paramodulation,[status(thm)],[f26,f14]) ).
fof(f58,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f60,plain,
! [X0] : n1 = join(n1,X0),
inference(paramodulation,[status(thm)],[f43,f16]) ).
fof(f83,plain,
! [X0] : join(X0,n0) = X0,
inference(paramodulation,[status(thm)],[f35,f14]) ).
fof(f89,plain,
! [X0] : join(n0,X0) = X0,
inference(paramodulation,[status(thm)],[f16,f83]) ).
fof(f121,plain,
complement(n0) = n1,
inference(paramodulation,[status(thm)],[f89,f36]) ).
fof(f125,plain,
join(sF1_fnc,sF2_fnc) = n1,
inference(paramodulation,[status(thm)],[f45,f36]) ).
fof(f138,plain,
complement(n1) = n0,
inference(paramodulation,[status(thm)],[f121,f19]) ).
fof(f148,plain,
join(sF9_fnc,sF8_fnc) = sF9_fnc,
inference(paramodulation,[status(thm)],[f29,f58]) ).
fof(f159,plain,
join(sF8_fnc,sF9_fnc) = sF9_fnc,
inference(forward_demodulation,[status(thm)],[f16,f148]) ).
fof(f208,plain,
! [X0] : join(n1,X0) = join(sF1_fnc,join(sF2_fnc,X0)),
inference(paramodulation,[status(thm)],[f125,f18]) ).
fof(f209,plain,
! [X0] : join(sF0_fnc,X0) = join(sF1_fnc,join(sF9_fnc,X0)),
inference(paramodulation,[status(thm)],[f41,f18]) ).
fof(f210,plain,
! [X0] : join(sF2_fnc,X0) = join(sF3_fnc,join(sF8_fnc,X0)),
inference(paramodulation,[status(thm)],[f30,f18]) ).
fof(f213,plain,
! [X0] : join(sF9_fnc,X0) = join(b,join(sF5_fnc,X0)),
inference(paramodulation,[status(thm)],[f38,f18]) ).
fof(f214,plain,
! [X0] : join(sF3_fnc,X0) = join(sF4_fnc,join(sF6_fnc,X0)),
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f234,plain,
! [X0] : n1 = join(sF1_fnc,join(sF2_fnc,X0)),
inference(forward_demodulation,[status(thm)],[f60,f208]) ).
fof(f244,plain,
! [X0] : meet(n1,X0) = complement(join(n0,complement(X0))),
inference(paramodulation,[status(thm)],[f138,f21]) ).
fof(f267,plain,
! [X0] : meet(n1,X0) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f89,f244]) ).
fof(f268,plain,
! [X0] : meet(n1,X0) = X0,
inference(forward_demodulation,[status(thm)],[f19,f267]) ).
fof(f352,plain,
! [X0] : join(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f268,f58]) ).
fof(f399,plain,
! [X0] : n1 = join(sF1_fnc,join(X0,sF2_fnc)),
inference(paramodulation,[status(thm)],[f16,f234]) ).
fof(f1411,plain,
join(sF0_fnc,sF2_fnc) = n1,
inference(paramodulation,[status(thm)],[f399,f209]) ).
fof(f1420,plain,
join(sF0_fnc,sF9_fnc) = join(sF1_fnc,sF9_fnc),
inference(paramodulation,[status(thm)],[f352,f209]) ).
fof(f1434,plain,
join(sF0_fnc,sF9_fnc) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f41,f1420]) ).
fof(f1439,plain,
! [X0] : join(n1,X0) = join(sF0_fnc,join(sF2_fnc,X0)),
inference(paramodulation,[status(thm)],[f1411,f18]) ).
fof(f1440,plain,
! [X0] : n1 = join(sF0_fnc,join(sF2_fnc,X0)),
inference(forward_demodulation,[status(thm)],[f60,f1439]) ).
fof(f3730,plain,
join(sF2_fnc,sF9_fnc) = join(sF3_fnc,sF9_fnc),
inference(paramodulation,[status(thm)],[f159,f210]) ).
fof(f3838,plain,
join(sF9_fnc,sF6_fnc) = join(b,sF5_fnc),
inference(paramodulation,[status(thm)],[f52,f213]) ).
fof(f3848,plain,
! [X0] : join(sF9_fnc,meet(X0,sF5_fnc)) = join(b,sF5_fnc),
inference(paramodulation,[status(thm)],[f58,f213]) ).
fof(f3874,plain,
join(sF6_fnc,sF9_fnc) = join(b,sF5_fnc),
inference(forward_demodulation,[status(thm)],[f16,f3838]) ).
fof(f3875,plain,
join(sF6_fnc,sF9_fnc) = sF9_fnc,
inference(forward_demodulation,[status(thm)],[f38,f3874]) ).
fof(f3890,plain,
! [X0] : join(sF9_fnc,meet(X0,sF5_fnc)) = sF9_fnc,
inference(forward_demodulation,[status(thm)],[f38,f3848]) ).
fof(f4559,plain,
join(sF9_fnc,sF4_fnc) = sF9_fnc,
inference(paramodulation,[status(thm)],[f37,f3890]) ).
fof(f4575,plain,
join(sF4_fnc,sF9_fnc) = sF9_fnc,
inference(forward_demodulation,[status(thm)],[f16,f4559]) ).
fof(f4642,plain,
join(sF3_fnc,sF9_fnc) = join(sF4_fnc,sF9_fnc),
inference(paramodulation,[status(thm)],[f3875,f214]) ).
fof(f4675,plain,
join(sF2_fnc,sF9_fnc) = join(sF4_fnc,sF9_fnc),
inference(forward_demodulation,[status(thm)],[f3730,f4642]) ).
fof(f4677,plain,
join(sF2_fnc,sF9_fnc) = sF9_fnc,
inference(forward_demodulation,[status(thm)],[f4575,f4675]) ).
fof(f4981,plain,
n1 = join(sF0_fnc,sF9_fnc),
inference(paramodulation,[status(thm)],[f4677,f1440]) ).
fof(f4991,plain,
n1 = sF0_fnc,
inference(backward_demodulation,[status(thm)],[f4981,f1434]) ).
fof(f4999,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4991,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 23:05:51 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.98/0.59 % Refutation found
% 0.98/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.98/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.98/0.62 % Elapsed time: 0.246746 seconds
% 0.98/0.62 % CPU time: 1.808904 seconds
% 0.98/0.62 % Total memory used: 37.592 MB
% 0.98/0.62 % Net memory used: 36.526 MB
%------------------------------------------------------------------------------