%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 01:03:11 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 23:08:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f3,axiom,(
% 0.08/0.39 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f5,axiom,(
% 0.08/0.39 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f6,axiom,(
% 0.08/0.39 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f11,axiom,(
% 0.08/0.39 (![X]: (join(complement(X),X) = n1 ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f14,axiom,(
% 0.08/0.39 (![X,Y,Z]: (join(X,meet(Y,join(X,Z))) = meet(join(X,Y),join(X,Z)) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f15,negated_conjecture,(
% 0.08/0.39 join(a,meet(complement(a),join(a,b))) != join(a,b) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f18,plain,(
% 0.08/0.39 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.39 fof(f20,plain,(
% 0.08/0.39 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.39 fof(f21,plain,(
% 0.08/0.39 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.39 fof(f26,plain,(
% 0.08/0.39 ![X0]: (join(complement(X0),X0)=n1)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.39 fof(f29,plain,(
% 0.08/0.39 ![X0,X1,X2]: (join(X0,meet(X1,join(X0,X2)))=meet(join(X0,X1),join(X0,X2)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.39 fof(f30,plain,(
% 0.08/0.39 ~join(a,meet(complement(a),join(a,b)))=join(a,b)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.39 fof(f36,plain,(
% 0.08/0.39 ~meet(join(a,complement(a)),join(a,b))=join(a,b)),
% 0.08/0.39 inference(forward_demodulation,[status(thm)],[f29,f30])).
% 0.08/0.39 fof(f46,plain,(
% 0.08/0.39 ~meet(join(a,b),join(a,complement(a)))=join(a,b)),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f20,f36])).
% 0.08/0.39 fof(f74,plain,(
% 0.08/0.39 ![X0]: (join(X0,complement(X0))=n1)),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f21,f26])).
% 0.08/0.39 fof(f82,plain,(
% 0.08/0.39 ~meet(join(a,b),n1)=join(a,b)),
% 0.08/0.39 inference(backward_demodulation,[status(thm)],[f74,f46])).
% 0.08/0.39 fof(f84,plain,(
% 0.08/0.39 ![X0]: (meet(X0,n1)=X0)),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f74,f18])).
% 0.08/0.39 fof(f85,plain,(
% 0.08/0.39 ~join(a,b)=join(a,b)),
% 0.08/0.39 inference(backward_demodulation,[status(thm)],[f84,f82])).
% 0.08/0.39 fof(f87,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(trivial_equality_resolution,[status(thm)],[f85])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.067814 seconds
% 0.13/0.45 % CPU time: 0.042648 seconds
% 0.13/0.45 % Total memory used: 786.592 KB
% 0.13/0.45 % Net memory used: 779.024 KB
%------------------------------------------------------------------------------