%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL134-1 : 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 : n007.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 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL134-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n007.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 00:05:06 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![X]: (implies(truth,X) = X ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,axiom,(
% 0.12/0.37 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,negated_conjecture,(
% 0.12/0.37 implies(x,truth) != truth ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ![X0]: (implies(truth,X0)=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f7,plain,(
% 0.12/0.37 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f8,plain,(
% 0.12/0.37 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ~implies(x,truth)=truth),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.37 fof(f11,definition,(
% 0.12/0.37 sF0_fnc=implies(x,truth)),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ~sF0_fnc=truth),
% 0.12/0.37 inference(definition_folding,[],[f10,f11])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.12/0.37 fof(f44,plain,(
% 0.12/0.37 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.12/0.37 fof(f73,plain,(
% 0.12/0.37 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f6,f44])).
% 0.12/0.37 fof(f79,plain,(
% 0.12/0.37 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f6,f73])).
% 0.12/0.37 fof(f80,plain,(
% 0.12/0.37 ![X0]: (implies(X0,implies(X0,X0))=truth)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f15,f73])).
% 0.12/0.37 fof(f116,plain,(
% 0.12/0.37 ![X0]: (implies(X0,X0)=truth)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f6,f79])).
% 0.12/0.37 fof(f117,plain,(
% 0.12/0.37 sF0_fnc=truth),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f125,f11])).
% 0.12/0.37 fof(f125,plain,(
% 0.12/0.37 ![X0]: (implies(X0,truth)=truth)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f116,f80])).
% 0.12/0.37 fof(f163,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f117,f12])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.030079 seconds
% 0.12/0.39 % CPU time: 0.054023 seconds
% 0.12/0.39 % Total memory used: 1.970 MB
% 0.12/0.39 % Net memory used: 1.965 MB
%------------------------------------------------------------------------------