%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT250-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:02:24 PM UTC 2026
% Result : Unsatisfiable 8.02s 1.45s
% Output : CNFRefutation 8.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 58 ( 47 unt; 2 def)
% Number of atoms : 71 ( 57 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 : 6 ( 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 : 68 ( 68 !; 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] : meet(X,join(Y,Z)) = meet(X,join(Y,meet(X,join(Z,meet(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] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
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(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(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] :
( complement(X0) = X1
| join(X0,X1) != one
| meet(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,join(X2,meet(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(f36,plain,
join(complement(a),complement(b)) != complement(a),
inference(paramodulation,[status(thm)],[f20,f28]) ).
fof(f40,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f18,f22]) ).
fof(f68,plain,
! [X0] : meet(X0,one) = X0,
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f74,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f17,f21]) ).
fof(f90,plain,
! [X0] : join(X0,zero) = X0,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f99,plain,
( join(a,join(complement(a),complement(b))) != one
| meet(a,join(complement(a),complement(b))) != zero ),
inference(resolution,[status(thm)],[f36,f25]) ).
fof(f100,definition,
( sQ2_spl
<=> meet(a,join(complement(a),complement(b))) = zero ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ2_spl
| meet(a,join(complement(a),complement(b))) != zero ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ3_spl
<=> join(a,join(complement(a),complement(b))) = one ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( sQ3_spl
| join(a,join(complement(a),complement(b))) != one ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f99,f100,f103]) ).
fof(f110,plain,
! [X0] : meet(one,X0) = X0,
inference(paramodulation,[status(thm)],[f19,f68]) ).
fof(f120,plain,
! [X0] : join(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f90]) ).
fof(f143,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),meet(X0,join(X1,zero)))),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f172,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f90,f143]) ).
fof(f189,plain,
join(b,a) = b,
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f226,plain,
! [X0] : zero = meet(zero,X0),
inference(paramodulation,[status(thm)],[f18,f120]) ).
fof(f288,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X0,join(complement(X0),meet(one,X1))),
inference(paramodulation,[status(thm)],[f23,f40]) ).
fof(f316,plain,
! [X0,X1] : one = join(X0,join(complement(X0),meet(one,X1))),
inference(forward_demodulation,[status(thm)],[f23,f288]) ).
fof(f317,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f110,f316]) ).
fof(f746,plain,
! [X0] : zero = meet(X0,zero),
inference(paramodulation,[status(thm)],[f19,f226]) ).
fof(f1179,plain,
join(a,b) = b,
inference(paramodulation,[status(thm)],[f20,f189]) ).
fof(f1227,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = meet(X0,zero),
inference(paramodulation,[status(thm)],[f24,f74]) ).
fof(f1276,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = zero,
inference(forward_demodulation,[status(thm)],[f746,f1227]) ).
fof(f7779,plain,
meet(a,complement(b)) = zero,
inference(paramodulation,[status(thm)],[f1179,f1276]) ).
fof(f7909,plain,
meet(a,join(complement(a),complement(b))) = meet(a,join(complement(a),zero)),
inference(paramodulation,[status(thm)],[f7779,f172]) ).
fof(f7939,plain,
meet(a,join(complement(a),complement(b))) = meet(a,complement(a)),
inference(forward_demodulation,[status(thm)],[f90,f7909]) ).
fof(f7940,plain,
meet(a,join(complement(a),complement(b))) = zero,
inference(forward_demodulation,[status(thm)],[f24,f7939]) ).
fof(f7941,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7940,f102]) ).
fof(f7942,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f7941]) ).
fof(f7959,plain,
( sQ3_spl
| one != one ),
inference(forward_demodulation,[status(thm)],[f317,f105]) ).
fof(f7960,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7959]) ).
fof(f7961,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f7960]) ).
fof(f7962,plain,
$false,
inference(sat_refutation,[status(thm)],[f106,f7942,f7961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT250-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n004.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 23:23:22 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 8.02/1.45 % Refutation found
% 8.02/1.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.02/1.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.02/1.47 % Elapsed time: 1.107897 seconds
% 8.02/1.47 % CPU time: 8.499830 seconds
% 8.02/1.47 % Total memory used: 161.843 MB
% 8.02/1.47 % Net memory used: 158.853 MB
%------------------------------------------------------------------------------