%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM385+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 01:42:48 PM UTC 2026
% Result : Theorem 0.10s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM385+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42 % Computer : n017.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8046.5625MB
% 0.10/0.42 % OS : Linux 6.8.0-71-generic
% 0.10/0.42 % CPULimit : 300
% 0.10/0.42 % WCLimit : 300
% 0.10/0.42 % DateTime : Mon Sep 21 02:21:56 UTC 2026
% 0.10/0.43 % CPUTime :
% 0.10/0.45 % Drodi V4.1.1
% 0.10/0.47 % Refutation found
% 0.10/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.47 fof(f1,axiom,(
% 0.10/0.47 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.10/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.47 fof(f6,axiom,(
% 0.10/0.47 (! [A] : succ(A) = set_union2(A,singleton(A)) )),
% 0.10/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.47 fof(f7,axiom,(
% 0.10/0.47 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.10/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.47 fof(f8,axiom,(
% 0.10/0.47 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 0.10/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.47 fof(f28,axiom,(
% 0.10/0.47 (! [A] : in(A,succ(A)) )),
% 0.10/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.47 fof(f29,conjecture,(
% 0.10/0.47 (! [A,B] :( succ(A) = succ(B)=> A = B ) )),
% 0.10/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.47 fof(f30,negated_conjecture,(
% 0.10/0.47 ~((! [A,B] :( succ(A) = succ(B)=> A = B ) ))),
% 0.10/0.47 inference(negated_conjecture,[status(cth)],[f29])).
% 0.10/0.47 fof(f37,plain,(
% 0.10/0.47 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.10/0.47 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.47 fof(f38,plain,(
% 0.10/0.47 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.10/0.47 inference(cnf_transformation,[status(thm)],[f37])).
% 0.10/0.47 fof(f48,plain,(
% 0.10/0.47 ![X0]: (succ(X0)=set_union2(X0,singleton(X0)))),
% 0.10/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.47 fof(f49,plain,(
% 0.10/0.47 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.10/0.47 inference(NNF_transformation,[status(thm)],[f7])).
% 0.10/0.47 fof(f50,plain,(
% 0.10/0.47 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.10/0.47 inference(miniscoping,[status(thm)],[f49])).
% 0.10/0.47 fof(f51,plain,(
% 0.10/0.47 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sK0_skl(B,A),B)|~sK0_skl(B,A)=A)&(in(sK0_skl(B,A),B)|sK0_skl(B,A)=A))))),
% 0.10/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f50])).
% 0.10/0.47 fof(f52,plain,(
% 0.10/0.47 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.10/0.47 inference(cnf_transformation,[status(thm)],[f51])).
% 0.10/0.47 fof(f56,plain,(
% 0.10/0.47 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.10/0.47 inference(NNF_transformation,[status(thm)],[f8])).
% 0.10/0.47 fof(f57,plain,(
% 0.10/0.47 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.10/0.47 inference(miniscoping,[status(thm)],[f56])).
% 0.10/0.47 fof(f58,plain,(
% 0.10/0.47 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|((~in(sK1_skl(C,B,A),C)|(~in(sK1_skl(C,B,A),A)&~in(sK1_skl(C,B,A),B)))&(in(sK1_skl(C,B,A),C)|(in(sK1_skl(C,B,A),A)|in(sK1_skl(C,B,A),B))))))),
% 0.10/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f57])).
% 0.10/0.47 fof(f59,plain,(
% 0.10/0.47 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|~in(X3,X0)|in(X3,X1)|in(X3,X2))),
% 0.10/0.47 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.47 fof(f116,plain,(
% 0.10/0.47 ![X0]: (in(X0,succ(X0)))),
% 0.10/0.47 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.47 fof(f117,plain,(
% 0.10/0.47 (?[A,B]: (succ(A)=succ(B)&~A=B))),
% 0.10/0.47 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.10/0.47 fof(f118,plain,(
% 0.10/0.47 (succ(sK13_skl)=succ(sK14_skl)&~sK13_skl=sK14_skl)),
% 0.10/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(A,sK13_skl),skolemize(B,sK14_skl)],[f117])).
% 0.10/0.47 fof(f119,plain,(
% 0.10/0.47 succ(sK13_skl)=succ(sK14_skl)),
% 0.10/0.47 inference(cnf_transformation,[status(thm)],[f118])).
% 0.10/0.47 fof(f120,plain,(
% 0.10/0.47 ~sK13_skl=sK14_skl),
% 0.10/0.47 inference(cnf_transformation,[status(thm)],[f118])).
% 0.10/0.47 fof(f135,plain,(
% 0.10/0.47 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.10/0.47 inference(destructive_equality_resolution,[status(thm)],[f52])).
% 0.10/0.47 fof(f137,plain,(
% 0.10/0.47 ![X0,X1,X2]: (~in(X0,set_union2(X1,X2))|in(X0,X1)|in(X0,X2))),
% 0.10/0.47 inference(destructive_equality_resolution,[status(thm)],[f59])).
% 0.10/0.47 fof(f141,plain,(
% 0.10/0.47 in(sK14_skl,succ(sK13_skl))),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f119,f116])).
% 0.10/0.47 fof(f155,plain,(
% 0.10/0.47 ![X0,X1]: (~in(X0,succ(X1))|in(X0,X1)|in(X0,singleton(X1)))),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f48,f137])).
% 0.10/0.47 fof(f160,plain,(
% 0.10/0.47 ![X0,X1]: (~in(X0,succ(X1))|in(X0,X1)|X0=X1)),
% 0.10/0.47 inference(resolution,[status(thm)],[f155,f135])).
% 0.10/0.47 fof(f163,plain,(
% 0.10/0.47 in(sK14_skl,sK13_skl)|sK14_skl=sK13_skl),
% 0.10/0.47 inference(resolution,[status(thm)],[f160,f141])).
% 0.10/0.47 fof(f165,plain,(
% 0.10/0.47 ![X0]: (~in(X0,succ(sK13_skl))|in(X0,sK14_skl)|X0=sK14_skl)),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f119,f160])).
% 0.10/0.47 fof(f166,plain,(
% 0.10/0.47 in(sK14_skl,sK13_skl)),
% 0.10/0.47 inference(forward_subsumption_resolution,[status(thm)],[f163,f120])).
% 0.10/0.47 fof(f167,plain,(
% 0.10/0.47 ~in(sK13_skl,sK14_skl)),
% 0.10/0.47 inference(resolution,[status(thm)],[f166,f38])).
% 0.10/0.47 fof(f170,plain,(
% 0.10/0.47 in(sK13_skl,sK14_skl)|sK13_skl=sK14_skl),
% 0.10/0.47 inference(resolution,[status(thm)],[f165,f116])).
% 0.10/0.47 fof(f172,plain,(
% 0.10/0.47 ~in(sK13_skl,sK13_skl)),
% 0.10/0.47 inference(backward_demodulation,[status(thm)],[f179,f167])).
% 0.10/0.47 fof(f173,plain,(
% 0.10/0.47 in(sK13_skl,sK13_skl)),
% 0.10/0.47 inference(backward_demodulation,[status(thm)],[f179,f166])).
% 0.10/0.47 fof(f179,plain,(
% 0.10/0.47 sK13_skl=sK14_skl),
% 0.10/0.47 inference(forward_subsumption_resolution,[status(thm)],[f170,f167])).
% 0.10/0.47 fof(f181,plain,(
% 0.10/0.47 $false),
% 0.10/0.47 inference(forward_subsumption_resolution,[status(thm)],[f173,f172])).
% 0.10/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.070518 seconds
% 0.16/0.50 % CPU time: 0.152547 seconds
% 0.16/0.50 % Total memory used: 77.163 MB
% 0.16/0.50 % Net memory used: 77.132 MB
%------------------------------------------------------------------------------