%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL111-2 : 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 : n012.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 0.07s 15.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL111-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/15.53 % Computer : n012.cluster.edu
% 0.03/15.53 % Model : x86_64 x86_64
% 0.03/15.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/15.53 % Memory : 8046.5625MB
% 0.03/15.53 % OS : Linux 6.8.0-71-generic
% 0.03/15.53 % CPULimit : 300
% 0.03/15.53 % WCLimit : 300
% 0.03/15.53 % DateTime : Mon Sep 21 00:05:31 UTC 2026
% 0.03/15.53 % CPUTime :
% 0.03/15.54 % Drodi V4.1.1
% 0.07/15.63 % Refutation found
% 0.07/15.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/15.63 % SZS output start CNFRefutation for theBenchmark
% 0.07/15.63 fof(f1,axiom,(
% 0.07/15.63 (![X]: (implies(truth,X) = X ))),
% 0.07/15.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.63 fof(f2,axiom,(
% 0.07/15.63 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.07/15.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.63 fof(f5,negated_conjecture,(
% 0.07/15.63 implies(implies(x,y),implies(implies(z,x),implies(z,y))) != truth ),
% 0.07/15.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.63 fof(f6,plain,(
% 0.07/15.63 ![X0]: (implies(truth,X0)=X0)),
% 0.07/15.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/15.63 fof(f7,plain,(
% 0.07/15.63 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.07/15.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/15.63 fof(f10,plain,(
% 0.07/15.63 ~implies(implies(x,y),implies(implies(z,x),implies(z,y)))=truth),
% 0.07/15.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/15.63 fof(f17,plain,(
% 0.07/15.63 ![X0,X1,X2,X3]: (implies(truth,implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))=truth)),
% 0.07/15.63 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.07/15.63 fof(f18,plain,(
% 0.07/15.63 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.07/15.63 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.07/15.63 fof(f24,plain,(
% 0.07/15.63 ![X0,X1,X2,X3]: (implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))=truth)),
% 0.07/15.63 inference(forward_demodulation,[status(thm)],[f6,f17])).
% 0.07/15.63 fof(f25,plain,(
% 0.07/15.63 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.07/15.63 inference(forward_demodulation,[status(thm)],[f6,f18])).
% 0.07/15.63 fof(f36,plain,(
% 0.07/15.63 ![X0,X1,X2]: (implies(truth,implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))=truth)),
% 0.07/15.63 inference(paramodulation,[status(thm)],[f25,f7])).
% 0.07/15.63 fof(f43,plain,(
% 0.07/15.63 ![X0,X1,X2]: (implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))=truth)),
% 0.07/15.63 inference(forward_demodulation,[status(thm)],[f6,f36])).
% 0.07/15.63 fof(f2416,plain,(
% 0.07/15.63 ![X0,X1,X2]: (implies(truth,implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))=truth)),
% 0.07/15.63 inference(paramodulation,[status(thm)],[f24,f43])).
% 0.07/15.63 fof(f2530,plain,(
% 0.07/15.63 ~truth=truth),
% 0.07/15.63 inference(backward_demodulation,[status(thm)],[f2531,f10])).
% 0.07/15.63 fof(f2531,plain,(
% 0.07/15.63 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))=truth)),
% 0.07/15.63 inference(forward_demodulation,[status(thm)],[f6,f2416])).
% 0.07/15.63 fof(f2649,plain,(
% 0.07/15.63 $false),
% 0.07/15.63 inference(trivial_equality_resolution,[status(thm)],[f2530])).
% 0.07/15.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/15.63 % Elapsed time: 0.096668 seconds
% 0.07/15.63 % CPU time: 0.696581 seconds
% 0.07/15.63 % Total memory used: 40.496 MB
% 0.07/15.63 % Net memory used: 39.953 MB
%------------------------------------------------------------------------------