%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL141-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:09:26 PM UTC 2026
% Result : Unsatisfiable 0.22s 5.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL141-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.44 % Computer : n003.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Mon Sep 21 00:08:35 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.45 % Drodi V4.1.1
% 0.22/5.82 % Refutation found
% 0.22/5.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/5.82 % SZS output start CNFRefutation for theBenchmark
% 0.22/5.82 fof(f1,axiom,(
% 0.22/5.82 (![X]: (implies(truth,X) = X ))),
% 0.22/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.82 fof(f2,axiom,(
% 0.22/5.82 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.22/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.82 fof(f3,axiom,(
% 0.22/5.82 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.22/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.82 fof(f4,axiom,(
% 0.22/5.82 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 0.22/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.82 fof(f5,negated_conjecture,(
% 0.22/5.82 implies(not(x),not(y)) != implies(y,x) ),
% 0.22/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.82 fof(f6,plain,(
% 0.22/5.82 ![X0]: (implies(truth,X0)=X0)),
% 0.22/5.82 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/5.82 fof(f7,plain,(
% 0.22/5.82 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.22/5.82 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/5.82 fof(f8,plain,(
% 0.22/5.82 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.22/5.82 inference(cnf_transformation,[status(thm)],[f3])).
% 0.22/5.82 fof(f9,plain,(
% 0.22/5.82 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 0.22/5.82 inference(cnf_transformation,[status(thm)],[f4])).
% 0.22/5.82 fof(f10,plain,(
% 0.22/5.82 ~implies(not(x),not(y))=implies(y,x)),
% 0.22/5.82 inference(cnf_transformation,[status(thm)],[f5])).
% 0.22/5.82 fof(f18,plain,(
% 0.22/5.82 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.22/5.82 fof(f39,plain,(
% 0.22/5.82 ![X0]: (implies(implies(not(X0),not(truth)),X0)=truth)),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f6,f9])).
% 0.22/5.82 fof(f43,plain,(
% 0.22/5.82 ![X0,X1,X2]: (implies(truth,implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2)))=truth)),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f9,f7])).
% 0.22/5.82 fof(f48,plain,(
% 0.22/5.82 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.22/5.82 fof(f60,plain,(
% 0.22/5.82 ![X0,X1]: (implies(implies(X0,truth),implies(X1,implies(X0,X1)))=truth)),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.22/5.82 fof(f74,plain,(
% 0.22/5.82 ![X0,X1,X2]: (implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))=truth)),
% 0.22/5.82 inference(forward_demodulation,[status(thm)],[f6,f43])).
% 0.22/5.82 fof(f77,plain,(
% 0.22/5.82 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.22/5.82 inference(forward_demodulation,[status(thm)],[f6,f48])).
% 0.22/5.82 fof(f85,plain,(
% 0.22/5.82 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f6,f77])).
% 0.22/5.82 fof(f87,plain,(
% 0.22/5.82 ![X0]: (implies(X0,implies(X0,X0))=truth)),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f18,f77])).
% 0.22/5.82 fof(f117,plain,(
% 0.22/5.82 ![X0]: (implies(X0,X0)=truth)),
% 0.22/5.82 inference(forward_demodulation,[status(thm)],[f6,f85])).
% 0.22/5.82 fof(f129,plain,(
% 0.22/5.82 ![X0,X1]: (implies(truth,implies(X0,implies(X1,X0)))=truth)),
% 0.22/5.82 inference(backward_demodulation,[status(thm)],[f130,f60])).
% 0.22/5.82 fof(f130,plain,(
% 0.22/5.82 ![X0]: (implies(X0,truth)=truth)),
% 0.22/5.82 inference(forward_demodulation,[status(thm)],[f117,f87])).
% 0.22/5.82 fof(f156,plain,(
% 0.22/5.82 ![X0,X1]: (implies(X0,implies(X1,X0))=truth)),
% 0.22/5.82 inference(forward_demodulation,[status(thm)],[f6,f129])).
% 0.22/5.82 fof(f221,plain,(
% 0.22/5.82 ![X0,X1,X2]: (implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2)))=truth)),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f156,f7])).
% 0.22/5.82 fof(f223,plain,(
% 0.22/5.82 ![X0,X1]: (implies(implies(implies(X0,X1),X1),X1)=implies(truth,implies(X0,X1)))),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f156,f8])).
% 0.22/5.82 fof(f228,plain,(
% 0.22/5.82 ![X0,X1,X2]: (implies(implies(implies(X0,X1),X2),implies(X1,X2))=truth)),
% 0.22/5.82 inference(forward_demodulation,[status(thm)],[f6,f221])).
% 0.22/5.82 fof(f229,plain,(
% 0.22/5.82 ![X0,X1]: (implies(implies(implies(X0,X1),X1),X1)=implies(X0,X1))),
% 0.22/5.82 inference(forward_demodulation,[status(thm)],[f6,f223])).
% 0.22/5.82 fof(f234,plain,(
% 0.22/5.82 ![X0,X1]: (implies(implies(implies(X0,X1),X1),X0)=implies(X1,X0))),
% 0.22/5.82 inference(paramodulation,[status(thm)],[f8,f229])).
% 0.22/5.82 fof(f275,plain,(
% 0.22/5.82 implies(truth,not(not(truth)))=implies(not(truth),not(not(truth)))),
% 0.22/5.83 inference(paramodulation,[status(thm)],[f39,f234])).
% 0.22/5.83 fof(f305,plain,(
% 0.22/5.83 not(not(truth))=implies(not(truth),not(not(truth)))),
% 0.22/5.83 inference(forward_demodulation,[status(thm)],[f6,f275])).
% 0.22/5.83 fof(f461,plain,(
% 0.22/5.83 ![X0]: (implies(truth,implies(not(truth),X0))=truth)),
% 0.22/5.83 inference(paramodulation,[status(thm)],[f39,f228])).
% 0.22/5.83 fof(f519,plain,(
% 0.22/5.83 not(not(truth))=truth),
% 0.22/5.83 inference(backward_demodulation,[status(thm)],[f520,f305])).
% 0.22/5.83 fof(f520,plain,(
% 0.22/5.83 ![X0]: (implies(not(truth),X0)=truth)),
% 0.22/5.83 inference(forward_demodulation,[status(thm)],[f6,f461])).
% 0.22/5.83 fof(f996,plain,(
% 0.22/5.83 ![X0]: (implies(truth,implies(implies(not(not(truth)),not(not(X0))),X0))=truth)),
% 0.22/5.83 inference(paramodulation,[status(thm)],[f39,f74])).
% 0.22/5.83 fof(f1076,plain,(
% 0.22/5.83 ![X0]: (implies(implies(not(not(truth)),not(not(X0))),X0)=truth)),
% 0.22/5.83 inference(forward_demodulation,[status(thm)],[f6,f996])).
% 0.22/5.83 fof(f1077,plain,(
% 0.22/5.83 ![X0]: (implies(implies(truth,not(not(X0))),X0)=truth)),
% 0.22/5.83 inference(forward_demodulation,[status(thm)],[f519,f1076])).
% 0.22/5.83 fof(f1078,plain,(
% 0.22/5.83 ![X0]: (implies(not(not(X0)),X0)=truth)),
% 0.22/5.84 inference(forward_demodulation,[status(thm)],[f6,f1077])).
% 0.22/5.84 fof(f1134,plain,(
% 0.22/5.84 ![X0]: (implies(truth,implies(X0,not(not(X0))))=truth)),
% 0.22/5.84 inference(paramodulation,[status(thm)],[f1078,f9])).
% 0.22/5.84 fof(f1162,plain,(
% 0.22/5.84 ![X0]: (implies(X0,not(not(X0)))=truth)),
% 0.22/5.84 inference(forward_demodulation,[status(thm)],[f6,f1134])).
% 0.22/5.84 fof(f1209,plain,(
% 0.22/5.84 ![X0]: (implies(implies(not(not(X0)),X0),X0)=implies(truth,not(not(X0))))),
% 0.22/5.84 inference(paramodulation,[status(thm)],[f1162,f8])).
% 0.22/5.84 fof(f1230,plain,(
% 0.22/5.84 ![X0]: (implies(truth,X0)=implies(truth,not(not(X0))))),
% 0.22/5.84 inference(forward_demodulation,[status(thm)],[f1078,f1209])).
% 0.22/5.84 fof(f1231,plain,(
% 0.22/5.84 ![X0]: (X0=implies(truth,not(not(X0))))),
% 0.22/5.84 inference(forward_demodulation,[status(thm)],[f6,f1230])).
% 0.22/5.84 fof(f1249,plain,(
% 0.22/5.84 ![X0]: (X0=not(not(X0)))),
% 0.22/5.84 inference(forward_demodulation,[status(thm)],[f6,f1231])).
% 0.22/5.84 fof(f1262,plain,(
% 0.22/5.84 ![X0,X1]: (implies(implies(not(X0),X1),implies(not(X1),X0))=truth)),
% 0.22/5.84 inference(paramodulation,[status(thm)],[f1249,f9])).
% 0.22/5.84 fof(f4081,plain,(
% 0.22/5.84 ![X0,X1]: (implies(implies(implies(not(X0),X1),implies(not(X1),X0)),implies(not(X1),X0))=implies(truth,implies(not(X0),X1)))),
% 0.22/5.84 inference(paramodulation,[status(thm)],[f1262,f8])).
% 0.22/5.84 fof(f4146,plain,(
% 0.22/5.84 ![X0,X1]: (implies(truth,implies(not(X0),X1))=implies(truth,implies(not(X1),X0)))),
% 0.22/5.84 inference(forward_demodulation,[status(thm)],[f1262,f4081])).
% 0.22/5.84 fof(f4147,plain,(
% 0.22/5.84 ![X0,X1]: (implies(not(X0),X1)=implies(truth,implies(not(X1),X0)))),
% 0.22/5.84 inference(forward_demodulation,[status(thm)],[f6,f4146])).
% 0.22/5.84 fof(f4148,plain,(
% 0.22/5.84 ![X0,X1]: (implies(not(X0),X1)=implies(not(X1),X0))),
% 0.22/5.84 inference(forward_demodulation,[status(thm)],[f6,f4147])).
% 0.22/5.84 fof(f4161,plain,(
% 0.22/5.84 ![X0,X1]: (implies(X0,X1)=implies(not(X1),not(X0)))),
% 0.22/5.84 inference(paramodulation,[status(thm)],[f1249,f4148])).
% 0.22/5.84 fof(f4288,plain,(
% 0.22/5.84 ~implies(y,x)=implies(y,x)),
% 0.22/5.84 inference(backward_demodulation,[status(thm)],[f4161,f10])).
% 0.22/5.84 fof(f4336,plain,(
% 0.22/5.84 $false),
% 0.22/5.84 inference(trivial_equality_resolution,[status(thm)],[f4288])).
% 0.22/5.84 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.86 % Elapsed time: 0.397595 seconds
% 0.22/5.86 % CPU time: 3.028622 seconds
% 0.22/5.86 % Total memory used: 48.519 MB
% 0.22/5.86 % Net memory used: 46.981 MB
%------------------------------------------------------------------------------