%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL115-2 : 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 : 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 01:09:24 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL115-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n017.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 00:00:56 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.52 % Refutation found
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.52 fof(f1,axiom,(
% 0.19/0.52 (![X]: (implies(truth,X) = X ))),
% 0.19/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f2,axiom,(
% 0.19/0.52 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.19/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f3,axiom,(
% 0.19/0.52 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.19/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f4,axiom,(
% 0.19/0.52 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 0.19/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f5,negated_conjecture,(
% 0.19/0.52 implies(not(implies(a,b)),not(b)) != truth ),
% 0.19/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f6,plain,(
% 0.19/0.52 ![X0]: (implies(truth,X0)=X0)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.19/0.52 fof(f7,plain,(
% 0.19/0.52 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.19/0.52 fof(f8,plain,(
% 0.19/0.52 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.19/0.52 fof(f9,plain,(
% 0.19/0.52 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.52 fof(f10,plain,(
% 0.19/0.52 ~implies(not(implies(a,b)),not(b))=truth),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/0.52 fof(f18,plain,(
% 0.19/0.52 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.19/0.52 fof(f38,plain,(
% 0.19/0.52 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.19/0.52 fof(f46,plain,(
% 0.19/0.52 ![X0,X1]: (implies(implies(X0,truth),implies(X1,implies(X0,X1)))=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.19/0.52 fof(f58,plain,(
% 0.19/0.52 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f38])).
% 0.19/0.52 fof(f63,plain,(
% 0.19/0.52 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f6,f58])).
% 0.19/0.52 fof(f64,plain,(
% 0.19/0.52 ![X0]: (implies(X0,implies(X0,X0))=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f18,f58])).
% 0.19/0.52 fof(f88,plain,(
% 0.19/0.52 ![X0]: (implies(X0,X0)=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f63])).
% 0.19/0.52 fof(f93,plain,(
% 0.19/0.52 ![X0,X1]: (implies(truth,implies(X0,implies(X1,X0)))=truth)),
% 0.19/0.52 inference(backward_demodulation,[status(thm)],[f94,f46])).
% 0.19/0.52 fof(f94,plain,(
% 0.19/0.52 ![X0]: (implies(X0,truth)=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f88,f64])).
% 0.19/0.52 fof(f118,plain,(
% 0.19/0.52 ![X0,X1]: (implies(X0,implies(X1,X0))=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f93])).
% 0.19/0.52 fof(f174,plain,(
% 0.19/0.52 ![X0,X1,X2]: (implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2)))=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f118,f7])).
% 0.19/0.52 fof(f180,plain,(
% 0.19/0.52 ![X0,X1,X2]: (implies(implies(implies(X0,X1),X2),implies(X1,X2))=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f174])).
% 0.19/0.52 fof(f385,plain,(
% 0.19/0.52 ![X0]: (implies(implies(not(X0),not(truth)),X0)=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f6,f9])).
% 0.19/0.52 fof(f609,plain,(
% 0.19/0.52 ![X0]: (implies(truth,implies(not(truth),X0))=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f385,f180])).
% 0.19/0.52 fof(f610,plain,(
% 0.19/0.52 ![X0,X1]: (implies(truth,implies(not(X0),implies(X0,X1)))=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f9,f180])).
% 0.19/0.52 fof(f679,plain,(
% 0.19/0.52 ![X0]: (implies(not(truth),X0)=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f609])).
% 0.19/0.52 fof(f680,plain,(
% 0.19/0.52 ![X0,X1]: (implies(not(X0),implies(X0,X1))=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f610])).
% 0.19/0.52 fof(f761,plain,(
% 0.19/0.52 ![X0]: (implies(implies(X0,not(truth)),not(truth))=implies(truth,X0))),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f679,f8])).
% 0.19/0.52 fof(f779,plain,(
% 0.19/0.52 ![X0]: (implies(implies(X0,not(truth)),not(truth))=X0)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f761])).
% 0.19/0.52 fof(f868,plain,(
% 0.19/0.52 ![X0]: (implies(not(implies(X0,not(truth))),X0)=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f779,f680])).
% 0.19/0.52 fof(f1019,plain,(
% 0.19/0.52 ![X0]: (implies(truth,implies(X0,implies(not(X0),not(truth))))=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f868,f9])).
% 0.19/0.52 fof(f1044,plain,(
% 0.19/0.52 ![X0]: (implies(X0,implies(not(X0),not(truth)))=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f1019])).
% 0.19/0.52 fof(f1098,plain,(
% 0.19/0.52 ![X0]: (implies(implies(implies(not(X0),not(truth)),X0),X0)=implies(truth,implies(not(X0),not(truth))))),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f1044,f8])).
% 0.19/0.52 fof(f1118,plain,(
% 0.19/0.52 ![X0]: (implies(truth,X0)=implies(truth,implies(not(X0),not(truth))))),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f385,f1098])).
% 0.19/0.52 fof(f1119,plain,(
% 0.19/0.52 ![X0]: (X0=implies(truth,implies(not(X0),not(truth))))),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f1118])).
% 0.19/0.52 fof(f1132,plain,(
% 0.19/0.52 ![X0]: (X0=implies(not(X0),not(truth)))),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f6,f1119])).
% 0.19/0.52 fof(f1145,plain,(
% 0.19/0.52 ![X0]: (implies(X0,not(truth))=not(X0))),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f1132,f779])).
% 0.19/0.52 fof(f1237,plain,(
% 0.19/0.52 ![X0,X1]: (implies(not(implies(X0,X1)),implies(X1,not(truth)))=truth)),
% 0.19/0.52 inference(paramodulation,[status(thm)],[f1145,f180])).
% 0.19/0.52 fof(f1283,plain,(
% 0.19/0.52 ~truth=truth),
% 0.19/0.52 inference(backward_demodulation,[status(thm)],[f1284,f10])).
% 0.19/0.52 fof(f1284,plain,(
% 0.19/0.52 ![X0,X1]: (implies(not(implies(X0,X1)),not(X1))=truth)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f1145,f1237])).
% 0.19/0.52 fof(f1318,plain,(
% 0.19/0.52 $false),
% 0.19/0.52 inference(trivial_equality_resolution,[status(thm)],[f1283])).
% 0.19/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.56 % Elapsed time: 0.094980 seconds
% 0.19/0.56 % CPU time: 0.309805 seconds
% 0.19/0.56 % Total memory used: 11.736 MB
% 0.19/0.56 % Net memory used: 11.546 MB
%------------------------------------------------------------------------------