%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:03:14 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n017.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 23:05:56 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.49 % Refutation found
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.49 fof(f1,axiom,(
% 0.17/0.49 (![A,B]: (join(meet(A,B),meet(A,join(A,B))) = A ))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f4,axiom,(
% 0.17/0.49 (![A,B,C]: (meet(meet(join(A,B),join(C,A)),A) = A ))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f5,axiom,(
% 0.17/0.49 (![A,B,C]: (join(join(meet(A,B),meet(C,A)),A) = A ))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f6,negated_conjecture,(
% 0.17/0.49 meet(a,a) != a ),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f7,plain,(
% 0.17/0.49 ![X0,X1]: (join(meet(X0,X1),meet(X0,join(X0,X1)))=X0)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.49 fof(f10,plain,(
% 0.17/0.49 ![X0,X1,X2]: (meet(meet(join(X0,X1),join(X2,X0)),X0)=X0)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.49 fof(f11,plain,(
% 0.17/0.49 ![X0,X1,X2]: (join(join(meet(X0,X1),meet(X2,X0)),X0)=X0)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.49 fof(f12,plain,(
% 0.17/0.49 ~meet(a,a)=a),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.49 fof(f13,definition,(
% 0.17/0.49 sF0_fnc=meet(a,a)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.17/0.49 fof(f14,plain,(
% 0.17/0.49 ~sF0_fnc=a),
% 0.17/0.49 inference(definition_folding,[],[f12,f13])).
% 0.17/0.49 fof(f15,plain,(
% 0.17/0.49 ![X0,X1,X2]: (join(X0,meet(meet(join(X0,X1),join(X2,X0)),join(meet(join(X0,X1),join(X2,X0)),X0)))=meet(join(X0,X1),join(X2,X0)))),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f10,f7])).
% 0.17/0.49 fof(f55,plain,(
% 0.17/0.49 ![X0,X1]: (meet(meet(join(X0,X1),X0),X0)=X0)),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f11,f10])).
% 0.17/0.49 fof(f124,plain,(
% 0.17/0.49 ![X0,X1,X2]: (meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0)=X0)),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f15,f55])).
% 0.17/0.49 fof(f203,plain,(
% 0.17/0.49 sF0_fnc=a),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f212,f13])).
% 0.17/0.49 fof(f212,plain,(
% 0.17/0.49 ![X0]: (meet(X0,X0)=X0)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f10,f124])).
% 0.17/0.49 fof(f213,plain,(
% 0.17/0.49 $false),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f203,f14])).
% 0.17/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.43/0.55 % Elapsed time: 0.086922 seconds
% 0.43/0.55 % CPU time: 0.106016 seconds
% 0.43/0.55 % Total memory used: 4.087 MB
% 0.43/0.55 % Net memory used: 3.984 MB
%------------------------------------------------------------------------------