%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL116-2 : 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 : n002.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 01:09:24 PM UTC 2026
% Result : Unsatisfiable 4.76s 1.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL116-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:08:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 4.76/1.10 % Refutation found
% 4.76/1.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.76/1.10 % SZS output start CNFRefutation for theBenchmark
% 4.76/1.10 fof(f1,axiom,(
% 4.76/1.10 (![X]: (implies(truth,X) = X ))),
% 4.76/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.76/1.10 fof(f2,axiom,(
% 4.76/1.10 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 4.76/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.76/1.10 fof(f3,axiom,(
% 4.76/1.10 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 4.76/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.76/1.10 fof(f4,axiom,(
% 4.76/1.10 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 4.76/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.76/1.10 fof(f5,negated_conjecture,(
% 4.76/1.10 implies(not(a),implies(b,not(implies(b,a)))) != truth ),
% 4.76/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.76/1.10 fof(f6,plain,(
% 4.76/1.10 ![X0]: (implies(truth,X0)=X0)),
% 4.76/1.10 inference(cnf_transformation,[status(thm)],[f1])).
% 4.76/1.10 fof(f7,plain,(
% 4.76/1.10 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 4.76/1.10 inference(cnf_transformation,[status(thm)],[f2])).
% 4.76/1.10 fof(f8,plain,(
% 4.76/1.10 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 4.76/1.10 inference(cnf_transformation,[status(thm)],[f3])).
% 4.76/1.10 fof(f9,plain,(
% 4.76/1.10 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 4.76/1.10 inference(cnf_transformation,[status(thm)],[f4])).
% 4.76/1.10 fof(f10,plain,(
% 4.76/1.10 ~implies(not(a),implies(b,not(implies(b,a))))=truth),
% 4.76/1.10 inference(cnf_transformation,[status(thm)],[f5])).
% 4.76/1.10 fof(f19,plain,(
% 4.76/1.10 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f6,f8])).
% 4.76/1.10 fof(f40,plain,(
% 4.76/1.10 ![X0]: (implies(implies(not(X0),not(truth)),X0)=truth)),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f6,f9])).
% 4.76/1.10 fof(f49,plain,(
% 4.76/1.10 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f6,f7])).
% 4.76/1.10 fof(f78,plain,(
% 4.76/1.10 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f6,f49])).
% 4.76/1.10 fof(f85,plain,(
% 4.76/1.10 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f6,f78])).
% 4.76/1.10 fof(f87,plain,(
% 4.76/1.10 ![X0]: (implies(X0,implies(X0,X0))=truth)),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f19,f78])).
% 4.76/1.10 fof(f107,plain,(
% 4.76/1.10 ![X0]: (implies(X0,X0)=truth)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f6,f85])).
% 4.76/1.10 fof(f134,plain,(
% 4.76/1.10 ![X0]: (implies(X0,truth)=truth)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f107,f87])).
% 4.76/1.10 fof(f149,plain,(
% 4.76/1.10 ![X0,X1]: (implies(truth,implies(implies(truth,X0),implies(X1,X0)))=truth)),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f134,f7])).
% 4.76/1.10 fof(f161,plain,(
% 4.76/1.10 ![X0,X1]: (implies(implies(truth,X0),implies(X1,X0))=truth)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f6,f149])).
% 4.76/1.10 fof(f162,plain,(
% 4.76/1.10 ![X0,X1]: (implies(X0,implies(X1,X0))=truth)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f6,f161])).
% 4.76/1.10 fof(f186,plain,(
% 4.76/1.10 ![X0,X1,X2]: (implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2)))=truth)),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f162,f7])).
% 4.76/1.10 fof(f193,plain,(
% 4.76/1.10 ![X0,X1,X2]: (implies(implies(implies(X0,X1),X2),implies(X1,X2))=truth)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f6,f186])).
% 4.76/1.10 fof(f536,plain,(
% 4.76/1.10 ![X0]: (implies(truth,implies(not(truth),X0))=truth)),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f40,f193])).
% 4.76/1.10 fof(f537,plain,(
% 4.76/1.10 ![X0,X1]: (implies(truth,implies(not(X0),implies(X0,X1)))=truth)),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f9,f193])).
% 4.76/1.10 fof(f599,plain,(
% 4.76/1.10 ![X0]: (implies(not(truth),X0)=truth)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f6,f536])).
% 4.76/1.10 fof(f600,plain,(
% 4.76/1.10 ![X0,X1]: (implies(not(X0),implies(X0,X1))=truth)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f6,f537])).
% 4.76/1.10 fof(f662,plain,(
% 4.76/1.10 ![X0]: (implies(implies(X0,not(truth)),not(truth))=implies(truth,X0))),
% 4.76/1.10 inference(paramodulation,[status(thm)],[f599,f8])).
% 4.76/1.10 fof(f679,plain,(
% 4.76/1.10 ![X0]: (implies(implies(X0,not(truth)),not(truth))=X0)),
% 4.76/1.10 inference(forward_demodulation,[status(thm)],[f6,f662])).
% 4.76/1.10 fof(f761,plain,(
% 4.76/1.10 ![X0]: (implies(not(implies(X0,not(truth))),X0)=truth)),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f679,f600])).
% 4.80/1.12 fof(f915,plain,(
% 4.80/1.12 ![X0]: (implies(truth,implies(X0,implies(not(X0),not(truth))))=truth)),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f761,f9])).
% 4.80/1.12 fof(f945,plain,(
% 4.80/1.12 ![X0]: (implies(X0,implies(not(X0),not(truth)))=truth)),
% 4.80/1.12 inference(forward_demodulation,[status(thm)],[f6,f915])).
% 4.80/1.12 fof(f991,plain,(
% 4.80/1.12 ![X0]: (implies(implies(implies(not(X0),not(truth)),X0),X0)=implies(truth,implies(not(X0),not(truth))))),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f945,f8])).
% 4.80/1.12 fof(f1008,plain,(
% 4.80/1.12 ![X0]: (implies(truth,X0)=implies(truth,implies(not(X0),not(truth))))),
% 4.80/1.12 inference(forward_demodulation,[status(thm)],[f40,f991])).
% 4.80/1.12 fof(f1009,plain,(
% 4.80/1.12 ![X0]: (X0=implies(truth,implies(not(X0),not(truth))))),
% 4.80/1.12 inference(forward_demodulation,[status(thm)],[f6,f1008])).
% 4.80/1.12 fof(f1010,plain,(
% 4.80/1.12 ![X0]: (X0=implies(not(X0),not(truth)))),
% 4.80/1.12 inference(forward_demodulation,[status(thm)],[f6,f1009])).
% 4.80/1.12 fof(f1024,plain,(
% 4.80/1.12 ![X0]: (implies(X0,not(truth))=not(X0))),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f1010,f679])).
% 4.80/1.12 fof(f1197,plain,(
% 4.80/1.12 ![X0]: (X0=not(not(X0)))),
% 4.80/1.12 inference(backward_demodulation,[status(thm)],[f1024,f1010])).
% 4.80/1.12 fof(f1237,plain,(
% 4.80/1.12 ![X0,X1]: (implies(implies(X0,X1),implies(implies(X1,not(truth)),not(X0)))=truth)),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f1024,f7])).
% 4.80/1.12 fof(f1296,plain,(
% 4.80/1.12 ![X0,X1]: (implies(implies(X0,X1),implies(not(X1),not(X0)))=truth)),
% 4.80/1.12 inference(forward_demodulation,[status(thm)],[f1024,f1237])).
% 4.80/1.12 fof(f4529,plain,(
% 4.80/1.12 ![X0,X1]: (implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),implies(X1,X0))=implies(truth,implies(not(X0),not(X1))))),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f1296,f8])).
% 4.80/1.12 fof(f4631,plain,(
% 4.80/1.12 ![X0,X1]: (implies(truth,implies(X0,X1))=implies(truth,implies(not(X1),not(X0))))),
% 4.80/1.12 inference(forward_demodulation,[status(thm)],[f9,f4529])).
% 4.80/1.12 fof(f4632,plain,(
% 4.80/1.12 ![X0,X1]: (implies(X0,X1)=implies(truth,implies(not(X1),not(X0))))),
% 4.80/1.12 inference(forward_demodulation,[status(thm)],[f6,f4631])).
% 4.80/1.12 fof(f4633,plain,(
% 4.80/1.12 ![X0,X1]: (implies(X0,X1)=implies(not(X1),not(X0)))),
% 4.80/1.12 inference(forward_demodulation,[status(thm)],[f6,f4632])).
% 4.80/1.12 fof(f4809,plain,(
% 4.80/1.12 ![X0,X1]: (implies(X0,not(X1))=implies(X1,not(X0)))),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f1197,f4633])).
% 4.80/1.12 fof(f4849,plain,(
% 4.80/1.12 ![X0,X1]: (implies(not(X0),implies(implies(X1,X0),not(X1)))=truth)),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f4633,f78])).
% 4.80/1.12 fof(f8335,plain,(
% 4.80/1.12 ![X0,X1]: (implies(not(X0),implies(X1,not(implies(X1,X0))))=truth)),
% 4.80/1.12 inference(paramodulation,[status(thm)],[f4809,f4849])).
% 4.80/1.12 fof(f12144,plain,(
% 4.80/1.12 ~truth=truth),
% 4.80/1.12 inference(backward_demodulation,[status(thm)],[f8335,f10])).
% 4.80/1.12 fof(f12308,plain,(
% 4.80/1.12 $false),
% 4.80/1.12 inference(trivial_equality_resolution,[status(thm)],[f12144])).
% 4.80/1.12 % SZS output end CNFRefutation for theBenchmark.p
% 4.80/1.15 % Elapsed time: 0.762972 seconds
% 4.80/1.15 % CPU time: 5.882482 seconds
% 4.80/1.15 % Total memory used: 132.251 MB
% 4.80/1.15 % Net memory used: 127.312 MB
%------------------------------------------------------------------------------