%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL110-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:09:23 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL110-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:05:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f1,axiom,(
% 0.08/0.40 (![X]: (implies(truth,X) = X ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f2,axiom,(
% 0.08/0.40 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f3,axiom,(
% 0.08/0.40 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f4,axiom,(
% 0.08/0.40 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f5,negated_conjecture,(
% 0.08/0.40 implies(not(not(x)),x) != truth ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f6,plain,(
% 0.08/0.40 ![X0]: (implies(truth,X0)=X0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.40 fof(f7,plain,(
% 0.08/0.40 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.40 fof(f8,plain,(
% 0.08/0.40 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.40 fof(f9,plain,(
% 0.08/0.40 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.40 fof(f10,plain,(
% 0.08/0.40 ~implies(not(not(x)),x)=truth),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f17,plain,(
% 0.08/0.40 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.08/0.40 fof(f37,plain,(
% 0.08/0.40 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.08/0.40 fof(f45,plain,(
% 0.08/0.40 ![X0,X1]: (implies(implies(X0,truth),implies(X1,implies(X0,X1)))=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.08/0.40 fof(f57,plain,(
% 0.08/0.40 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f6,f37])).
% 0.08/0.40 fof(f62,plain,(
% 0.08/0.40 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f6,f57])).
% 0.08/0.40 fof(f63,plain,(
% 0.08/0.40 ![X0]: (implies(X0,implies(X0,X0))=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f17,f57])).
% 0.08/0.40 fof(f87,plain,(
% 0.08/0.40 ![X0]: (implies(X0,X0)=truth)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f6,f62])).
% 0.08/0.40 fof(f92,plain,(
% 0.08/0.40 ![X0,X1]: (implies(truth,implies(X0,implies(X1,X0)))=truth)),
% 0.08/0.40 inference(backward_demodulation,[status(thm)],[f93,f45])).
% 0.08/0.40 fof(f93,plain,(
% 0.08/0.40 ![X0]: (implies(X0,truth)=truth)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f87,f63])).
% 0.08/0.40 fof(f117,plain,(
% 0.08/0.40 ![X0,X1]: (implies(X0,implies(X1,X0))=truth)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f6,f92])).
% 0.08/0.40 fof(f173,plain,(
% 0.08/0.40 ![X0,X1,X2]: (implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2)))=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f117,f7])).
% 0.08/0.40 fof(f179,plain,(
% 0.08/0.40 ![X0,X1,X2]: (implies(implies(implies(X0,X1),X2),implies(X1,X2))=truth)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f6,f173])).
% 0.08/0.40 fof(f384,plain,(
% 0.08/0.40 ![X0]: (implies(implies(not(X0),not(truth)),X0)=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f6,f9])).
% 0.08/0.40 fof(f608,plain,(
% 0.08/0.40 ![X0]: (implies(truth,implies(not(truth),X0))=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f384,f179])).
% 0.08/0.40 fof(f609,plain,(
% 0.08/0.40 ![X0,X1]: (implies(truth,implies(not(X0),implies(X0,X1)))=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f9,f179])).
% 0.08/0.40 fof(f678,plain,(
% 0.08/0.40 ![X0]: (implies(not(truth),X0)=truth)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f6,f608])).
% 0.08/0.40 fof(f679,plain,(
% 0.08/0.40 ![X0,X1]: (implies(not(X0),implies(X0,X1))=truth)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f6,f609])).
% 0.08/0.40 fof(f760,plain,(
% 0.08/0.40 ![X0]: (implies(implies(X0,not(truth)),not(truth))=implies(truth,X0))),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f678,f8])).
% 0.08/0.40 fof(f778,plain,(
% 0.08/0.40 ![X0]: (implies(implies(X0,not(truth)),not(truth))=X0)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f6,f760])).
% 0.08/0.40 fof(f867,plain,(
% 0.08/0.40 ![X0]: (implies(not(implies(X0,not(truth))),X0)=truth)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f778,f679])).
% 0.08/0.41 fof(f1018,plain,(
% 0.08/0.41 ![X0]: (implies(truth,implies(X0,implies(not(X0),not(truth))))=truth)),
% 0.08/0.41 inference(paramodulation,[status(thm)],[f867,f9])).
% 0.08/0.41 fof(f1043,plain,(
% 0.08/0.41 ![X0]: (implies(X0,implies(not(X0),not(truth)))=truth)),
% 0.08/0.41 inference(forward_demodulation,[status(thm)],[f6,f1018])).
% 0.08/0.41 fof(f1097,plain,(
% 0.08/0.41 ![X0]: (implies(implies(implies(not(X0),not(truth)),X0),X0)=implies(truth,implies(not(X0),not(truth))))),
% 0.08/0.41 inference(paramodulation,[status(thm)],[f1043,f8])).
% 0.08/0.41 fof(f1117,plain,(
% 0.08/0.41 ![X0]: (implies(truth,X0)=implies(truth,implies(not(X0),not(truth))))),
% 0.08/0.41 inference(forward_demodulation,[status(thm)],[f384,f1097])).
% 0.08/0.41 fof(f1118,plain,(
% 0.08/0.41 ![X0]: (X0=implies(truth,implies(not(X0),not(truth))))),
% 0.08/0.41 inference(forward_demodulation,[status(thm)],[f6,f1117])).
% 0.08/0.41 fof(f1131,plain,(
% 0.08/0.41 ![X0]: (X0=implies(not(X0),not(truth)))),
% 0.08/0.41 inference(forward_demodulation,[status(thm)],[f6,f1118])).
% 0.08/0.41 fof(f1146,plain,(
% 0.08/0.41 ![X0]: (implies(not(not(X0)),X0)=truth)),
% 0.08/0.41 inference(paramodulation,[status(thm)],[f1131,f679])).
% 0.08/0.41 fof(f1183,plain,(
% 0.08/0.41 ~truth=truth),
% 0.08/0.41 inference(backward_demodulation,[status(thm)],[f1146,f10])).
% 0.08/0.41 fof(f1222,plain,(
% 0.08/0.41 $false),
% 0.08/0.41 inference(trivial_equality_resolution,[status(thm)],[f1183])).
% 0.08/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 9.47/1.64 % Elapsed time: 1.051239 seconds
% 9.47/1.64 % CPU time: 0.145492 seconds
% 9.47/1.64 % Total memory used: 5.541 MB
% 9.47/1.64 % Net memory used: 5.452 MB
%------------------------------------------------------------------------------