%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL133-1 : 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 : n018.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 01:09:25 PM UTC 2026
% Result : Unsatisfiable 0.22s 5.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.87 % Computer : n018.cluster.edu
% 0.17/5.87 % Model : x86_64 x86_64
% 0.17/5.87 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.87 % Memory : 8046.5625MB
% 0.17/5.87 % OS : Linux 6.8.0-71-generic
% 0.17/5.87 % CPULimit : 300
% 0.17/5.87 % WCLimit : 300
% 0.17/5.87 % DateTime : Mon Sep 21 00:08:49 UTC 2026
% 0.17/5.87 % CPUTime :
% 0.17/5.88 % Drodi V4.1.1
% 0.22/5.94 % Refutation found
% 0.22/5.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/5.94 % SZS output start CNFRefutation for theBenchmark
% 0.22/5.94 fof(f1,axiom,(
% 0.22/5.94 (![X]: (implies(truth,X) = X ))),
% 0.22/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.94 fof(f2,axiom,(
% 0.22/5.94 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.22/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.94 fof(f3,axiom,(
% 0.22/5.94 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.22/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.94 fof(f5,negated_conjecture,(
% 0.22/5.94 (![X,Y]: (implies(X,Y) = implies(Y,X) ))),
% 0.22/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.94 fof(f6,negated_conjecture,(
% 0.22/5.94 x != y ),
% 0.22/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.94 fof(f7,plain,(
% 0.22/5.94 ![X0]: (implies(truth,X0)=X0)),
% 0.22/5.94 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/5.94 fof(f8,plain,(
% 0.22/5.94 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.22/5.94 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/5.94 fof(f9,plain,(
% 0.22/5.94 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.22/5.94 inference(cnf_transformation,[status(thm)],[f3])).
% 0.22/5.94 fof(f11,plain,(
% 0.22/5.94 ![X0,X1]: (implies(X0,X1)=implies(X1,X0))),
% 0.22/5.94 inference(cnf_transformation,[status(thm)],[f5])).
% 0.22/5.94 fof(f12,plain,(
% 0.22/5.94 ~x=y),
% 0.22/5.94 inference(cnf_transformation,[status(thm)],[f6])).
% 0.22/5.94 fof(f13,plain,(
% 0.22/5.94 ![X0]: (X0=implies(X0,truth))),
% 0.22/5.94 inference(paramodulation,[status(thm)],[f7,f11])).
% 0.22/5.94 fof(f29,plain,(
% 0.22/5.94 ![X0]: (implies(X0,truth)=implies(implies(truth,X0),X0))),
% 0.22/5.94 inference(paramodulation,[status(thm)],[f13,f9])).
% 0.22/5.94 fof(f51,plain,(
% 0.22/5.94 ![X0]: (X0=implies(implies(truth,X0),X0))),
% 0.22/5.94 inference(forward_demodulation,[status(thm)],[f13,f29])).
% 0.22/5.94 fof(f52,plain,(
% 0.22/5.94 ![X0]: (X0=implies(X0,X0))),
% 0.22/5.94 inference(forward_demodulation,[status(thm)],[f7,f51])).
% 0.22/5.94 fof(f76,plain,(
% 0.22/5.94 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(X0,X1)))=truth)),
% 0.22/5.94 inference(paramodulation,[status(thm)],[f52,f8])).
% 0.22/5.94 fof(f104,plain,(
% 0.22/5.94 ![X0,X1]: (implies(X0,implies(X0,X1))=truth)),
% 0.22/5.94 inference(forward_demodulation,[status(thm)],[f52,f76])).
% 0.22/5.94 fof(f117,plain,(
% 0.22/5.94 ![X0,X1]: (implies(implies(X0,X1),truth)=truth)),
% 0.22/5.94 inference(paramodulation,[status(thm)],[f8,f104])).
% 0.22/5.94 fof(f136,plain,(
% 0.22/5.94 ![X0]: (truth=X0)),
% 0.22/5.94 inference(backward_demodulation,[status(thm)],[f161,f7])).
% 0.22/5.94 fof(f161,plain,(
% 0.22/5.94 ![X0,X1]: (implies(X0,X1)=truth)),
% 0.22/5.94 inference(forward_demodulation,[status(thm)],[f13,f117])).
% 0.22/5.94 fof(f170,plain,(
% 0.22/5.94 ![X0,X1]: (X0=X1)),
% 0.22/5.94 inference(paramodulation,[status(thm)],[f136,f136])).
% 0.22/5.94 fof(f172,plain,(
% 0.22/5.94 $false),
% 0.22/5.94 inference(backward_subsumption_resolution,[status(thm)],[f12,f170])).
% 0.22/5.94 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.96 % Elapsed time: 0.078306 seconds
% 0.22/5.96 % CPU time: 0.073719 seconds
% 0.22/5.96 % Total memory used: 1.553 MB
% 0.22/5.96 % Net memory used: 1.475 MB
%------------------------------------------------------------------------------