%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:02:07 PM UTC 2026
% Result : Unsatisfiable 1.68s 0.83s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 33 unt; 2 def)
% Number of atoms : 33 ( 32 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] : meet(X,join(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(f10,hypothesis,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [U,V,W] : f(join(U,V),W) = join(f(U,W),f(V,W)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
f(join(aa,bb),dd) = f(join(cc,bb),dd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
f(aa,dd) != f(cc,dd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
! [X0,X1,X2] : f(join(X0,X1),X2) = join(f(X0,X2),f(X1,X2)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f32,plain,
f(join(aa,bb),dd) = f(join(cc,bb),dd),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f33,plain,
meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f34,plain,
f(aa,dd) != f(cc,dd),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f35,definition,
sF0_fnc = f(aa,dd),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f36,definition,
sF1_fnc = f(cc,dd),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f37,plain,
sF0_fnc != sF1_fnc,
inference(definition_folding,[],[f34,f36,f35]) ).
fof(f38,plain,
! [X0] : f(join(cc,X0),dd) = join(sF1_fnc,f(X0,dd)),
inference(paramodulation,[status(thm)],[f36,f28]) ).
fof(f39,plain,
! [X0] : f(join(aa,X0),dd) = join(sF0_fnc,f(X0,dd)),
inference(paramodulation,[status(thm)],[f35,f28]) ).
fof(f134,plain,
meet(sF0_fnc,f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
inference(forward_demodulation,[status(thm)],[f35,f33]) ).
fof(f135,plain,
meet(sF0_fnc,f(bb,dd)) = meet(sF1_fnc,f(bb,dd)),
inference(forward_demodulation,[status(thm)],[f36,f134]) ).
fof(f171,plain,
! [X0] : meet(sF0_fnc,f(join(aa,X0),dd)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f39,f20]) ).
fof(f172,plain,
! [X0] : meet(sF1_fnc,f(join(cc,X0),dd)) = sF1_fnc,
inference(paramodulation,[status(thm)],[f38,f20]) ).
fof(f537,plain,
meet(sF1_fnc,f(join(aa,bb),dd)) = sF1_fnc,
inference(paramodulation,[status(thm)],[f32,f172]) ).
fof(f1068,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f22,f27]) ).
fof(f1081,plain,
! [X0] : meet(sF1_fnc,join(X0,f(bb,dd))) = join(meet(sF1_fnc,X0),meet(sF0_fnc,f(bb,dd))),
inference(paramodulation,[status(thm)],[f135,f27]) ).
fof(f16307,plain,
meet(sF0_fnc,join(sF1_fnc,f(bb,dd))) = meet(sF1_fnc,join(sF0_fnc,f(bb,dd))),
inference(paramodulation,[status(thm)],[f1081,f1068]) ).
fof(f16535,plain,
meet(sF0_fnc,f(join(cc,bb),dd)) = meet(sF1_fnc,join(sF0_fnc,f(bb,dd))),
inference(forward_demodulation,[status(thm)],[f38,f16307]) ).
fof(f16536,plain,
meet(sF0_fnc,f(join(aa,bb),dd)) = meet(sF1_fnc,join(sF0_fnc,f(bb,dd))),
inference(forward_demodulation,[status(thm)],[f32,f16535]) ).
fof(f16537,plain,
sF0_fnc = meet(sF1_fnc,join(sF0_fnc,f(bb,dd))),
inference(forward_demodulation,[status(thm)],[f171,f16536]) ).
fof(f16538,plain,
sF0_fnc = meet(sF1_fnc,f(join(aa,bb),dd)),
inference(forward_demodulation,[status(thm)],[f39,f16537]) ).
fof(f16539,plain,
sF0_fnc = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f537,f16538]) ).
fof(f16540,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16539,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n005.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 20 23:07:48 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 1.68/0.83 % Refutation found
% 1.68/0.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.68/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.86 % Elapsed time: 0.492350 seconds
% 0.26/0.86 % CPU time: 3.748403 seconds
% 0.26/0.86 % Total memory used: 70.467 MB
% 0.26/0.86 % Net memory used: 68.952 MB
%------------------------------------------------------------------------------