%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT237-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 01:02:23 PM UTC 2026
% Result : Unsatisfiable 213.54s 27.29s
% Output : CNFRefutation 24.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 49 unt; 2 def)
% Number of atoms : 73 ( 59 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : join(X,complement(X)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : meet(X,complement(X)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( complement(X) = Y
| join(X,Y) != one
| meet(X,Y) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z,U] : meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(U,meet(Z,join(X,Y)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0] : join(X0,complement(X0)) = one,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0] : meet(X0,complement(X0)) = zero,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0,X1] :
( X1 = complement(X0)
| join(X0,X1) != one
| meet(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X2,join(X0,X1)))))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
meet(b,a) = a,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
join(complement(b),complement(a)) != complement(a),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f34,plain,
join(complement(a),complement(b)) != complement(a),
inference(paramodulation,[status(thm)],[f20,f28]) ).
fof(f38,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f41,plain,
! [X0] : X0 = meet(X0,one),
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f45,plain,
! [X0] : X0 = join(X0,zero),
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f47,plain,
! [X0] : join(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f45]) ).
fof(f62,plain,
! [X0] : meet(zero,X0) = zero,
inference(paramodulation,[status(thm)],[f47,f17]) ).
fof(f97,plain,
join(b,a) = b,
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f101,plain,
! [X0] : meet(one,X0) = X0,
inference(paramodulation,[status(thm)],[f41,f19]) ).
fof(f105,plain,
! [X0] : meet(X0,zero) = zero,
inference(paramodulation,[status(thm)],[f62,f19]) ).
fof(f148,plain,
! [X0,X1,X2] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,meet(X1,one))))),
inference(paramodulation,[status(thm)],[f23,f26]) ).
fof(f163,plain,
! [X0,X1,X2] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f41,f148]) ).
fof(f164,plain,
! [X0,X1,X2] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),meet(X1,join(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f38,f163]) ).
fof(f193,plain,
! [X0] : one = join(one,X0),
inference(paramodulation,[status(thm)],[f17,f101]) ).
fof(f233,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(paramodulation,[status(thm)],[f23,f22]) ).
fof(f252,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f193,f233]) ).
fof(f328,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f18,f38]) ).
fof(f340,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f21,f328]) ).
fof(f343,plain,
b = join(a,b),
inference(paramodulation,[status(thm)],[f20,f97]) ).
fof(f408,plain,
( join(a,join(complement(a),complement(b))) != one
| meet(a,join(complement(a),complement(b))) != zero ),
inference(resolution,[status(thm)],[f25,f34]) ).
fof(f420,definition,
( sQ2_spl
<=> meet(a,join(complement(a),complement(b))) = zero ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ2_spl
| meet(a,join(complement(a),complement(b))) != zero ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ3_spl
<=> join(a,join(complement(a),complement(b))) = one ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ3_spl
| join(a,join(complement(a),complement(b))) != one ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f408,f420,f423]) ).
fof(f703,plain,
! [X0] : meet(complement(X0),X0) = meet(complement(X0),zero),
inference(paramodulation,[status(thm)],[f24,f340]) ).
fof(f724,plain,
! [X0] : meet(complement(X0),X0) = zero,
inference(forward_demodulation,[status(thm)],[f105,f703]) ).
fof(f6394,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X0,X1)))) = meet(X0,join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f724,f164]) ).
fof(f6504,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X0,X1)))) = meet(X0,complement(X0)),
inference(forward_demodulation,[status(thm)],[f45,f6394]) ).
fof(f6505,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X0,X1)))) = zero,
inference(forward_demodulation,[status(thm)],[f24,f6504]) ).
fof(f85935,plain,
meet(a,join(complement(a),complement(b))) = zero,
inference(paramodulation,[status(thm)],[f343,f6505]) ).
fof(f86205,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f85935,f422]) ).
fof(f86206,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f86205]) ).
fof(f86300,plain,
( sQ3_spl
| one != one ),
inference(forward_demodulation,[status(thm)],[f252,f425]) ).
fof(f86301,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f86300]) ).
fof(f86302,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f86301]) ).
fof(f86303,plain,
$false,
inference(sat_refutation,[status(thm)],[f426,f86206,f86302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT237-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 23:21:52 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 213.54/27.29 % Refutation found
% 213.54/27.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 213.54/27.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.47/27.68 % Elapsed time: 27.372508 seconds
% 12.47/27.68 % CPU time: 215.683184 seconds
% 12.47/27.68 % Total memory used: 899.622 MB
% 12.47/27.68 % Net memory used: 872.276 MB
%------------------------------------------------------------------------------