%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL113-2 : 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 : 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 0.03s 0.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL113-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 00:05:36 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.33 % Refutation found
% 0.03/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.33 fof(f1,axiom,(
% 0.03/0.33 (![X]: (implies(truth,X) = X ))),
% 0.03/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f2,axiom,(
% 0.03/0.33 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.03/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f3,axiom,(
% 0.03/0.33 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.03/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f4,axiom,(
% 0.03/0.33 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 0.03/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f5,negated_conjecture,(
% 0.03/0.33 implies(implies(not(x),y),implies(not(y),x)) != truth ),
% 0.03/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f6,plain,(
% 0.03/0.33 ![X0]: (implies(truth,X0)=X0)),
% 0.03/0.33 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.33 fof(f7,plain,(
% 0.03/0.33 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.03/0.33 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.33 fof(f8,plain,(
% 0.03/0.33 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.03/0.33 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.33 fof(f9,plain,(
% 0.03/0.33 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 0.03/0.33 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.33 fof(f10,plain,(
% 0.03/0.33 ~implies(implies(not(x),y),implies(not(y),x))=truth),
% 0.03/0.33 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.33 fof(f19,plain,(
% 0.03/0.33 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.03/0.33 fof(f39,plain,(
% 0.03/0.33 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.03/0.33 fof(f47,plain,(
% 0.03/0.33 ![X0,X1]: (implies(implies(X0,truth),implies(X1,implies(X0,X1)))=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.03/0.33 fof(f59,plain,(
% 0.03/0.33 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f39])).
% 0.03/0.33 fof(f64,plain,(
% 0.03/0.33 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f6,f59])).
% 0.03/0.33 fof(f65,plain,(
% 0.03/0.33 ![X0]: (implies(X0,implies(X0,X0))=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f19,f59])).
% 0.03/0.33 fof(f89,plain,(
% 0.03/0.33 ![X0]: (implies(X0,X0)=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f64])).
% 0.03/0.33 fof(f94,plain,(
% 0.03/0.33 ![X0,X1]: (implies(truth,implies(X0,implies(X1,X0)))=truth)),
% 0.03/0.33 inference(backward_demodulation,[status(thm)],[f95,f47])).
% 0.03/0.33 fof(f95,plain,(
% 0.03/0.33 ![X0]: (implies(X0,truth)=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f89,f65])).
% 0.03/0.33 fof(f119,plain,(
% 0.03/0.33 ![X0,X1]: (implies(X0,implies(X1,X0))=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f94])).
% 0.03/0.33 fof(f175,plain,(
% 0.03/0.33 ![X0,X1,X2]: (implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2)))=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f119,f7])).
% 0.03/0.33 fof(f181,plain,(
% 0.03/0.33 ![X0,X1,X2]: (implies(implies(implies(X0,X1),X2),implies(X1,X2))=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f175])).
% 0.03/0.33 fof(f386,plain,(
% 0.03/0.33 ![X0]: (implies(implies(not(X0),not(truth)),X0)=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f6,f9])).
% 0.03/0.33 fof(f610,plain,(
% 0.03/0.33 ![X0]: (implies(truth,implies(not(truth),X0))=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f386,f181])).
% 0.03/0.33 fof(f611,plain,(
% 0.03/0.33 ![X0,X1]: (implies(truth,implies(not(X0),implies(X0,X1)))=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f9,f181])).
% 0.03/0.33 fof(f680,plain,(
% 0.03/0.33 ![X0]: (implies(not(truth),X0)=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f610])).
% 0.03/0.33 fof(f681,plain,(
% 0.03/0.33 ![X0,X1]: (implies(not(X0),implies(X0,X1))=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f611])).
% 0.03/0.33 fof(f762,plain,(
% 0.03/0.33 ![X0]: (implies(implies(X0,not(truth)),not(truth))=implies(truth,X0))),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f680,f8])).
% 0.03/0.33 fof(f780,plain,(
% 0.03/0.33 ![X0]: (implies(implies(X0,not(truth)),not(truth))=X0)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f762])).
% 0.03/0.33 fof(f869,plain,(
% 0.03/0.33 ![X0]: (implies(not(implies(X0,not(truth))),X0)=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f780,f681])).
% 0.03/0.33 fof(f1020,plain,(
% 0.03/0.33 ![X0]: (implies(truth,implies(X0,implies(not(X0),not(truth))))=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f869,f9])).
% 0.03/0.33 fof(f1045,plain,(
% 0.03/0.33 ![X0]: (implies(X0,implies(not(X0),not(truth)))=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f1020])).
% 0.03/0.33 fof(f1099,plain,(
% 0.03/0.33 ![X0]: (implies(implies(implies(not(X0),not(truth)),X0),X0)=implies(truth,implies(not(X0),not(truth))))),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f1045,f8])).
% 0.03/0.33 fof(f1119,plain,(
% 0.03/0.33 ![X0]: (implies(truth,X0)=implies(truth,implies(not(X0),not(truth))))),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f386,f1099])).
% 0.03/0.33 fof(f1120,plain,(
% 0.03/0.33 ![X0]: (X0=implies(truth,implies(not(X0),not(truth))))),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f1119])).
% 0.03/0.33 fof(f1133,plain,(
% 0.03/0.33 ![X0]: (X0=implies(not(X0),not(truth)))),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f6,f1120])).
% 0.03/0.33 fof(f1146,plain,(
% 0.03/0.33 ![X0]: (implies(X0,not(truth))=not(X0))),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f1133,f780])).
% 0.03/0.33 fof(f1163,plain,(
% 0.03/0.33 ![X0,X1]: (implies(implies(not(X0),X1),implies(implies(X1,not(truth)),X0))=truth)),
% 0.03/0.33 inference(paramodulation,[status(thm)],[f1133,f7])).
% 0.03/0.33 fof(f1202,plain,(
% 0.03/0.33 ~truth=truth),
% 0.03/0.33 inference(backward_demodulation,[status(thm)],[f1203,f10])).
% 0.03/0.33 fof(f1203,plain,(
% 0.03/0.33 ![X0,X1]: (implies(implies(not(X0),X1),implies(not(X1),X0))=truth)),
% 0.03/0.33 inference(forward_demodulation,[status(thm)],[f1146,f1163])).
% 0.03/0.33 fof(f1224,plain,(
% 0.03/0.33 $false),
% 0.03/0.33 inference(trivial_equality_resolution,[status(thm)],[f1202])).
% 0.03/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.33 % Elapsed time: 0.031892 seconds
% 0.03/0.33 % CPU time: 0.161531 seconds
% 0.03/0.33 % Total memory used: 12.168 MB
% 0.03/0.33 % Net memory used: 12.055 MB
%------------------------------------------------------------------------------