%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL140-1 : 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 : n010.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 0.10s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL140-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n010.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 00:07:11 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.60 % Refutation found
% 0.10/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.60 fof(f1,axiom,(
% 0.10/0.60 (![X]: (implies(truth,X) = X ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f2,axiom,(
% 0.10/0.60 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f3,axiom,(
% 0.10/0.60 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f4,axiom,(
% 0.10/0.60 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f5,negated_conjecture,(
% 0.10/0.60 not(not(x)) != x ),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f6,plain,(
% 0.10/0.60 ![X0]: (implies(truth,X0)=X0)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.60 fof(f7,plain,(
% 0.10/0.60 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.60 fof(f8,plain,(
% 0.10/0.60 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.60 fof(f9,plain,(
% 0.10/0.60 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.60 fof(f10,plain,(
% 0.10/0.60 ~not(not(x))=x),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.60 fof(f16,plain,(
% 0.10/0.60 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.10/0.60 fof(f36,plain,(
% 0.10/0.60 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.10/0.60 fof(f44,plain,(
% 0.10/0.60 ![X0,X1]: (implies(implies(X0,truth),implies(X1,implies(X0,X1)))=truth)),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.10/0.60 fof(f56,plain,(
% 0.10/0.60 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.10/0.60 inference(forward_demodulation,[status(thm)],[f6,f36])).
% 0.10/0.60 fof(f61,plain,(
% 0.10/0.60 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f6,f56])).
% 0.10/0.60 fof(f62,plain,(
% 0.10/0.60 ![X0]: (implies(X0,implies(X0,X0))=truth)),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f16,f56])).
% 0.10/0.60 fof(f86,plain,(
% 0.10/0.60 ![X0]: (implies(X0,X0)=truth)),
% 0.10/0.60 inference(forward_demodulation,[status(thm)],[f6,f61])).
% 0.10/0.60 fof(f91,plain,(
% 0.10/0.60 ![X0,X1]: (implies(truth,implies(X0,implies(X1,X0)))=truth)),
% 0.10/0.60 inference(backward_demodulation,[status(thm)],[f92,f44])).
% 0.10/0.60 fof(f92,plain,(
% 0.10/0.60 ![X0]: (implies(X0,truth)=truth)),
% 0.10/0.60 inference(forward_demodulation,[status(thm)],[f86,f62])).
% 0.10/0.60 fof(f116,plain,(
% 0.10/0.60 ![X0,X1]: (implies(X0,implies(X1,X0))=truth)),
% 0.10/0.60 inference(forward_demodulation,[status(thm)],[f6,f91])).
% 0.10/0.60 fof(f172,plain,(
% 0.10/0.60 ![X0,X1,X2]: (implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2)))=truth)),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f116,f7])).
% 0.10/0.60 fof(f173,plain,(
% 0.10/0.60 ![X0,X1]: (implies(implies(implies(X0,X1),X1),X1)=implies(truth,implies(X0,X1)))),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f116,f8])).
% 0.10/0.60 fof(f178,plain,(
% 0.10/0.60 ![X0,X1,X2]: (implies(implies(implies(X0,X1),X2),implies(X1,X2))=truth)),
% 0.10/0.60 inference(forward_demodulation,[status(thm)],[f6,f172])).
% 0.10/0.60 fof(f179,plain,(
% 0.10/0.60 ![X0,X1]: (implies(implies(implies(X0,X1),X1),X1)=implies(X0,X1))),
% 0.10/0.60 inference(forward_demodulation,[status(thm)],[f6,f173])).
% 0.10/0.60 fof(f383,plain,(
% 0.10/0.60 ![X0]: (implies(implies(not(X0),not(truth)),X0)=truth)),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f6,f9])).
% 0.10/0.60 fof(f607,plain,(
% 0.10/0.60 ![X0]: (implies(truth,implies(not(truth),X0))=truth)),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f383,f178])).
% 0.10/0.60 fof(f608,plain,(
% 0.10/0.60 ![X0,X1]: (implies(truth,implies(not(X0),implies(X0,X1)))=truth)),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f9,f178])).
% 0.10/0.60 fof(f677,plain,(
% 0.10/0.60 ![X0]: (implies(not(truth),X0)=truth)),
% 0.10/0.60 inference(forward_demodulation,[status(thm)],[f6,f607])).
% 0.10/0.60 fof(f678,plain,(
% 0.10/0.60 ![X0,X1]: (implies(not(X0),implies(X0,X1))=truth)),
% 0.10/0.60 inference(forward_demodulation,[status(thm)],[f6,f608])).
% 0.10/0.60 fof(f759,plain,(
% 0.10/0.60 ![X0]: (implies(implies(X0,not(truth)),not(truth))=implies(truth,X0))),
% 0.10/0.60 inference(paramodulation,[status(thm)],[f677,f8])).
% 0.10/0.62 fof(f777,plain,(
% 0.10/0.62 ![X0]: (implies(implies(X0,not(truth)),not(truth))=X0)),
% 0.10/0.62 inference(forward_demodulation,[status(thm)],[f6,f759])).
% 0.10/0.62 fof(f866,plain,(
% 0.10/0.62 ![X0]: (implies(not(implies(X0,not(truth))),X0)=truth)),
% 0.10/0.62 inference(paramodulation,[status(thm)],[f777,f678])).
% 0.10/0.62 fof(f1017,plain,(
% 0.10/0.62 ![X0]: (implies(truth,implies(X0,implies(not(X0),not(truth))))=truth)),
% 0.10/0.62 inference(paramodulation,[status(thm)],[f866,f9])).
% 0.10/0.62 fof(f1042,plain,(
% 0.10/0.62 ![X0]: (implies(X0,implies(not(X0),not(truth)))=truth)),
% 0.10/0.62 inference(forward_demodulation,[status(thm)],[f6,f1017])).
% 0.10/0.62 fof(f1096,plain,(
% 0.10/0.62 ![X0]: (implies(implies(implies(not(X0),not(truth)),X0),X0)=implies(truth,implies(not(X0),not(truth))))),
% 0.10/0.62 inference(paramodulation,[status(thm)],[f1042,f8])).
% 0.10/0.62 fof(f1116,plain,(
% 0.10/0.62 ![X0]: (implies(truth,X0)=implies(truth,implies(not(X0),not(truth))))),
% 0.10/0.62 inference(forward_demodulation,[status(thm)],[f383,f1096])).
% 0.10/0.62 fof(f1117,plain,(
% 0.10/0.62 ![X0]: (X0=implies(truth,implies(not(X0),not(truth))))),
% 0.10/0.62 inference(forward_demodulation,[status(thm)],[f6,f1116])).
% 0.10/0.62 fof(f1130,plain,(
% 0.10/0.62 ![X0]: (X0=implies(not(X0),not(truth)))),
% 0.10/0.62 inference(forward_demodulation,[status(thm)],[f6,f1117])).
% 0.10/0.62 fof(f1143,plain,(
% 0.10/0.62 ![X0]: (implies(X0,not(truth))=not(X0))),
% 0.10/0.62 inference(paramodulation,[status(thm)],[f1130,f777])).
% 0.10/0.62 fof(f1156,plain,(
% 0.10/0.62 ![X0]: (implies(implies(X0,not(truth)),not(truth))=implies(not(X0),not(truth)))),
% 0.10/0.62 inference(paramodulation,[status(thm)],[f1130,f179])).
% 0.10/0.62 fof(f1194,plain,(
% 0.10/0.62 ![X0]: (X0=implies(not(X0),not(truth)))),
% 0.10/0.62 inference(forward_demodulation,[status(thm)],[f777,f1156])).
% 0.10/0.62 fof(f1196,plain,(
% 0.10/0.62 ~x=x),
% 0.10/0.62 inference(backward_demodulation,[status(thm)],[f1199,f10])).
% 0.10/0.62 fof(f1199,plain,(
% 0.10/0.62 ![X0]: (X0=not(not(X0)))),
% 0.10/0.62 inference(forward_demodulation,[status(thm)],[f1143,f1194])).
% 0.10/0.62 fof(f1221,plain,(
% 0.10/0.62 $false),
% 0.10/0.62 inference(trivial_equality_resolution,[status(thm)],[f1196])).
% 0.10/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 9.58/1.83 % Elapsed time: 1.039445 seconds
% 9.58/1.83 % CPU time: 0.138715 seconds
% 9.58/1.83 % Total memory used: 4.724 MB
% 9.58/1.83 % Net memory used: 4.609 MB
%------------------------------------------------------------------------------