%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE006+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:58:08 PM UTC 2026
% Result : Theorem 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE006+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:37:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,axiom,(
% 0.11/0.41 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f14,axiom,(
% 0.11/0.41 (! [X0,X1] :( complement(X1,X0)<=> ( multiplication(X0,X1) = zero& multiplication(X1,X0) = zero& addition(X0,X1) = one ) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f15,axiom,(
% 0.11/0.41 (! [X0,X1] :( test(X0)=> ( c(X0) = X1<=> complement(X0,X1) ) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f17,conjecture,(
% 0.11/0.41 (! [X0] :( test(X0)=> one = addition(X0,c(X0)) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f18,negated_conjecture,(
% 0.11/0.41 ~((! [X0] :( test(X0)=> one = addition(X0,c(X0)) ) ))),
% 0.11/0.41 inference(negated_conjecture,[status(cth)],[f17])).
% 0.11/0.41 fof(f19,plain,(
% 0.11/0.41 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.41 fof(f39,plain,(
% 0.11/0.41 ![X0,X1]: ((~complement(X1,X0)|((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one))&(complement(X1,X0)|((~multiplication(X0,X1)=zero|~multiplication(X1,X0)=zero)|~addition(X0,X1)=one)))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f14])).
% 0.11/0.41 fof(f40,plain,(
% 0.11/0.41 (![X0,X1]: (~complement(X1,X0)|((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one)))&(![X0,X1]: (complement(X1,X0)|((~multiplication(X0,X1)=zero|~multiplication(X1,X0)=zero)|~addition(X0,X1)=one)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f39])).
% 0.11/0.41 fof(f43,plain,(
% 0.11/0.41 ![X0,X1]: (~complement(X0,X1)|addition(X1,X0)=one)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/0.41 fof(f45,plain,(
% 0.11/0.41 ![X0,X1]: (~test(X0)|(c(X0)=X1<=>complement(X0,X1)))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.11/0.41 fof(f46,plain,(
% 0.11/0.41 ![X0,X1]: (~test(X0)|((~c(X0)=X1|complement(X0,X1))&(c(X0)=X1|~complement(X0,X1))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f45])).
% 0.11/0.41 fof(f47,plain,(
% 0.11/0.41 ![X0]: (~test(X0)|((![X1]: (~c(X0)=X1|complement(X0,X1)))&(![X1]: (c(X0)=X1|~complement(X0,X1)))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f46])).
% 0.11/0.41 fof(f48,plain,(
% 0.11/0.41 ![X0,X1]: (~test(X0)|~c(X0)=X1|complement(X0,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f47])).
% 0.11/0.41 fof(f52,plain,(
% 0.11/0.41 (?[X0]: (test(X0)&~one=addition(X0,c(X0))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.11/0.41 fof(f53,plain,(
% 0.11/0.41 (test(sK1_skl)&~one=addition(sK1_skl,c(sK1_skl)))),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X0,sK1_skl)],[f52])).
% 0.11/0.41 fof(f54,plain,(
% 0.11/0.41 test(sK1_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.11/0.41 fof(f55,plain,(
% 0.11/0.41 ~one=addition(sK1_skl,c(sK1_skl))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.11/0.41 fof(f56,plain,(
% 0.11/0.41 ![X0]: (~test(X0)|complement(X0,c(X0)))),
% 0.11/0.41 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 0.11/0.41 fof(f63,plain,(
% 0.11/0.41 complement(sK1_skl,c(sK1_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f56,f54])).
% 0.11/0.41 fof(f67,plain,(
% 0.11/0.41 addition(c(sK1_skl),sK1_skl)=one),
% 0.11/0.41 inference(resolution,[status(thm)],[f43,f63])).
% 0.11/0.41 fof(f68,plain,(
% 0.11/0.41 addition(sK1_skl,c(sK1_skl))=one),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f19,f67])).
% 0.11/0.41 fof(f72,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f68,f55])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.45 % Elapsed time: 0.058001 seconds
% 0.11/0.45 % CPU time: 0.161165 seconds
% 0.11/0.45 % Total memory used: 101.716 MB
% 0.11/0.45 % Net memory used: 101.409 MB
%------------------------------------------------------------------------------