%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL161-1 : 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 : n006.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 01:09:28 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:07:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![X]: (not(X) = xor(X,truth) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![X]: (xor(X,falsehood) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![X]: (and_star(X,truth) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,axiom,(
% 0.09/0.39 (![X,Y]: (xor(X,xor(truth,Y)) = xor(xor(X,truth),Y) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f9,axiom,(
% 0.09/0.39 (![X,Y]: (xor(X,Y) = xor(Y,X) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,axiom,(
% 0.09/0.39 (![X,Y]: (and_star(X,Y) = and_star(Y,X) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f12,axiom,(
% 0.09/0.39 not(truth) = falsehood ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,axiom,(
% 0.09/0.39 (![X,Y]: (implies(X,Y) = xor(truth,and_star(X,xor(truth,Y))) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f14,negated_conjecture,(
% 0.09/0.39 implies(truth,x) != x ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 ![X0]: (not(X0)=xor(X0,truth))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 ![X0]: (xor(X0,falsehood)=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f18,plain,(
% 0.09/0.39 ![X0]: (and_star(X0,truth)=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f21,plain,(
% 0.09/0.39 ![X0,X1]: (xor(X0,xor(truth,X1))=xor(xor(X0,truth),X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 ![X0,X1]: (xor(X0,X1)=xor(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 ![X0,X1]: (and_star(X0,X1)=and_star(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 not(truth)=falsehood),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f27,plain,(
% 0.09/0.39 ![X0,X1]: (implies(X0,X1)=xor(truth,and_star(X0,xor(truth,X1))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ~implies(truth,x)=x),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.39 fof(f29,definition,(
% 0.09/0.39 sF0_fnc=implies(truth,x)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 ~sF0_fnc=x),
% 0.09/0.39 inference(definition_folding,[],[f28,f29])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 ![X0,X1]: (xor(X0,xor(truth,X1))=xor(not(X0),X1))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f15,f21])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 ![X0]: (X0=and_star(truth,X0))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f18,f25])).
% 0.09/0.39 fof(f66,plain,(
% 0.09/0.39 ![X0]: (not(X0)=xor(truth,X0))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f15,f23])).
% 0.09/0.39 fof(f78,plain,(
% 0.09/0.39 ![X0,X1]: (implies(X0,X1)=not(and_star(X0,xor(truth,X1))))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f66,f27])).
% 0.09/0.39 fof(f80,plain,(
% 0.09/0.39 ![X0,X1]: (xor(X0,not(X1))=xor(not(X0),X1))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f66,f31])).
% 0.09/0.39 fof(f82,plain,(
% 0.09/0.39 ![X0,X1]: (implies(X0,X1)=not(and_star(X0,not(X1))))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f66,f78])).
% 0.09/0.39 fof(f189,plain,(
% 0.09/0.39 ![X0]: (implies(truth,X0)=not(not(X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f39,f82])).
% 0.09/0.39 fof(f202,plain,(
% 0.09/0.39 sF0_fnc=not(not(x))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f189,f29])).
% 0.09/0.39 fof(f238,plain,(
% 0.09/0.39 ![X0]: (xor(X0,not(truth))=not(not(X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f15,f80])).
% 0.09/0.39 fof(f252,plain,(
% 0.09/0.39 ![X0]: (xor(X0,falsehood)=not(not(X0)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f26,f238])).
% 0.09/0.39 fof(f253,plain,(
% 0.09/0.39 sF0_fnc=x),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f256,f202])).
% 0.09/0.39 fof(f256,plain,(
% 0.09/0.39 ![X0]: (X0=not(not(X0)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f16,f252])).
% 0.09/0.39 fof(f268,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f253,f30])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.038020 seconds
% 0.09/0.41 % CPU time: 0.073609 seconds
% 0.09/0.41 % Total memory used: 3.309 MB
% 0.09/0.41 % Net memory used: 3.222 MB
%------------------------------------------------------------------------------