%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL135-1 : 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 : n026.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 0.09s 5.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL135-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.53 % Computer : n026.cluster.edu
% 0.09/5.53 % Model : x86_64 x86_64
% 0.09/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.53 % Memory : 8046.5625MB
% 0.09/5.53 % OS : Linux 6.8.0-71-generic
% 0.09/5.53 % CPULimit : 300
% 0.09/5.53 % WCLimit : 300
% 0.09/5.53 % DateTime : Mon Sep 21 00:09:58 UTC 2026
% 0.09/5.53 % CPUTime :
% 0.09/5.54 % Drodi V4.1.1
% 0.09/5.55 % Refutation found
% 0.09/5.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.55 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.55 fof(f1,axiom,(
% 0.09/5.55 (![X]: (implies(truth,X) = X ))),
% 0.09/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f2,axiom,(
% 0.09/5.55 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.09/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f3,axiom,(
% 0.09/5.55 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.09/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f5,negated_conjecture,(
% 0.09/5.55 implies(x,implies(y,x)) != truth ),
% 0.09/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f6,plain,(
% 0.09/5.55 ![X0]: (implies(truth,X0)=X0)),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.55 fof(f7,plain,(
% 0.09/5.55 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.55 fof(f8,plain,(
% 0.09/5.55 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.55 fof(f10,plain,(
% 0.09/5.55 ~implies(x,implies(y,x))=truth),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.55 fof(f16,plain,(
% 0.09/5.55 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.09/5.55 fof(f36,plain,(
% 0.09/5.55 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.09/5.55 fof(f44,plain,(
% 0.09/5.55 ![X0,X1]: (implies(implies(X0,truth),implies(X1,implies(X0,X1)))=truth)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.09/5.55 fof(f56,plain,(
% 0.09/5.55 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.09/5.55 inference(forward_demodulation,[status(thm)],[f6,f36])).
% 0.09/5.55 fof(f61,plain,(
% 0.09/5.55 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f6,f56])).
% 0.09/5.55 fof(f62,plain,(
% 0.09/5.55 ![X0]: (implies(X0,implies(X0,X0))=truth)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f16,f56])).
% 0.09/5.55 fof(f86,plain,(
% 0.09/5.55 ![X0]: (implies(X0,X0)=truth)),
% 0.09/5.55 inference(forward_demodulation,[status(thm)],[f6,f61])).
% 0.09/5.55 fof(f91,plain,(
% 0.09/5.55 ![X0,X1]: (implies(truth,implies(X0,implies(X1,X0)))=truth)),
% 0.09/5.55 inference(backward_demodulation,[status(thm)],[f92,f44])).
% 0.09/5.55 fof(f92,plain,(
% 0.09/5.55 ![X0]: (implies(X0,truth)=truth)),
% 0.09/5.55 inference(forward_demodulation,[status(thm)],[f86,f62])).
% 0.09/5.55 fof(f115,plain,(
% 0.09/5.55 ~truth=truth),
% 0.09/5.55 inference(backward_demodulation,[status(thm)],[f117,f10])).
% 0.09/5.55 fof(f117,plain,(
% 0.09/5.55 ![X0,X1]: (implies(X0,implies(X1,X0))=truth)),
% 0.09/5.55 inference(forward_demodulation,[status(thm)],[f6,f91])).
% 0.09/5.55 fof(f118,plain,(
% 0.09/5.55 $false),
% 0.09/5.55 inference(trivial_equality_resolution,[status(thm)],[f115])).
% 0.09/5.55 % SZS output end CNFRefutation for theBenchmark.p
% 3.57/6.79 % Elapsed time: 1.031540 seconds
% 3.57/6.79 % CPU time: 0.043568 seconds
% 3.57/6.79 % Total memory used: 1.318 MB
% 3.57/6.79 % Net memory used: 1.313 MB
%------------------------------------------------------------------------------