%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU145+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:21:47 PM UTC 2026
% Result : Theorem 202.67s 26.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU145+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n019.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 21 05:53:05 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.19/0.43 % Drodi V4.1.1
% 202.67/26.09 % Refutation found
% 202.67/26.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 202.67/26.09 % SZS output start CNFRefutation for theBenchmark
% 202.67/26.09 fof(f2,axiom,(
% 202.67/26.09 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 202.67/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 202.67/26.09 fof(f3,axiom,(
% 202.67/26.09 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 202.67/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 202.67/26.09 fof(f4,axiom,(
% 202.67/26.09 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 202.67/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 202.67/26.09 fof(f7,conjecture,(
% 202.67/26.09 (! [A,B,C] :( subset(A,B)=> ( in(C,A)| subset(A,set_difference(B,singleton(C))) ) ) )),
% 202.67/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 202.67/26.09 fof(f8,negated_conjecture,(
% 202.67/26.09 ~((! [A,B,C] :( subset(A,B)=> ( in(C,A)| subset(A,set_difference(B,singleton(C))) ) ) ))),
% 202.67/26.09 inference(negated_conjecture,[status(cth)],[f7])).
% 202.67/26.09 fof(f12,plain,(
% 202.67/26.09 ![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)))))),
% 202.67/26.09 inference(NNF_transformation,[status(thm)],[f2])).
% 202.67/26.09 fof(f13,plain,(
% 202.67/26.09 (![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)))))),
% 202.67/26.09 inference(miniscoping,[status(thm)],[f12])).
% 202.67/26.09 fof(f14,plain,(
% 202.67/26.09 (![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))))),
% 202.67/26.09 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f13])).
% 202.67/26.09 fof(f15,plain,(
% 202.67/26.09 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f14])).
% 202.67/26.09 fof(f19,plain,(
% 202.67/26.09 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 202.67/26.09 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 202.67/26.09 fof(f20,plain,(
% 202.67/26.09 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 202.67/26.09 inference(NNF_transformation,[status(thm)],[f19])).
% 202.67/26.09 fof(f21,plain,(
% 202.67/26.09 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 202.67/26.09 inference(miniscoping,[status(thm)],[f20])).
% 202.67/26.09 fof(f22,plain,(
% 202.67/26.09 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK1_skl(B,A),A)&~in(sK1_skl(B,A),B))))),
% 202.67/26.09 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f21])).
% 202.67/26.09 fof(f23,plain,(
% 202.67/26.09 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f22])).
% 202.67/26.09 fof(f24,plain,(
% 202.67/26.09 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f22])).
% 202.67/26.09 fof(f25,plain,(
% 202.67/26.09 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f22])).
% 202.67/26.09 fof(f26,plain,(
% 202.67/26.09 ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 202.67/26.09 inference(NNF_transformation,[status(thm)],[f4])).
% 202.67/26.09 fof(f27,plain,(
% 202.67/26.09 (![A,B,C]: (~C=set_difference(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_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 202.67/26.09 inference(miniscoping,[status(thm)],[f26])).
% 202.67/26.09 fof(f28,plain,(
% 202.67/26.09 (![A,B,C]: (~C=set_difference(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_difference(A,B)|((~in(sK2_skl(C,B,A),C)|(~in(sK2_skl(C,B,A),A)|in(sK2_skl(C,B,A),B)))&(in(sK2_skl(C,B,A),C)|(in(sK2_skl(C,B,A),A)&~in(sK2_skl(C,B,A),B))))))),
% 202.67/26.09 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(D,sK2_skl(C,B,A))],[f27])).
% 202.67/26.09 fof(f30,plain,(
% 202.67/26.09 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f28])).
% 202.67/26.09 fof(f31,plain,(
% 202.67/26.09 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|in(X3,X0)|~in(X3,X1)|in(X3,X2))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f28])).
% 202.67/26.09 fof(f32,plain,(
% 202.67/26.09 ![X0,X1,X2]: (X0=set_difference(X1,X2)|~in(sK2_skl(X0,X2,X1),X0)|~in(sK2_skl(X0,X2,X1),X1)|in(sK2_skl(X0,X2,X1),X2))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f28])).
% 202.67/26.09 fof(f33,plain,(
% 202.67/26.09 ![X0,X1,X2]: (X0=set_difference(X1,X2)|in(sK2_skl(X0,X2,X1),X0)|in(sK2_skl(X0,X2,X1),X1))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f28])).
% 202.67/26.09 fof(f34,plain,(
% 202.67/26.09 ![X0,X1,X2]: (X0=set_difference(X1,X2)|in(sK2_skl(X0,X2,X1),X0)|~in(sK2_skl(X0,X2,X1),X2))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f28])).
% 202.67/26.09 fof(f35,plain,(
% 202.67/26.09 (?[A,B,C]: (subset(A,B)&(~in(C,A)&~subset(A,set_difference(B,singleton(C))))))),
% 202.67/26.09 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 202.67/26.09 fof(f36,plain,(
% 202.67/26.09 ?[A,B]: (subset(A,B)&(?[C]: (~in(C,A)&~subset(A,set_difference(B,singleton(C))))))),
% 202.67/26.09 inference(miniscoping,[status(thm)],[f35])).
% 202.67/26.09 fof(f37,plain,(
% 202.67/26.09 (subset(sK3_skl,sK4_skl)&(~in(sK5_skl,sK3_skl)&~subset(sK3_skl,set_difference(sK4_skl,singleton(sK5_skl)))))),
% 202.67/26.09 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(C,sK5_skl)],[f36])).
% 202.67/26.09 fof(f38,plain,(
% 202.67/26.09 subset(sK3_skl,sK4_skl)),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f37])).
% 202.67/26.09 fof(f39,plain,(
% 202.67/26.09 ~in(sK5_skl,sK3_skl)),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f37])).
% 202.67/26.09 fof(f40,plain,(
% 202.67/26.09 ~subset(sK3_skl,set_difference(sK4_skl,singleton(sK5_skl)))),
% 202.67/26.09 inference(cnf_transformation,[status(thm)],[f37])).
% 202.67/26.09 fof(f46,plain,(
% 202.67/26.09 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 202.67/26.09 inference(equality_resolution,[status(thm)],[f15])).
% 202.67/26.09 fof(f47,plain,(
% 202.67/26.09 ![X0]: (~in(X0,sK3_skl)|in(X0,sK4_skl))),
% 202.67/26.09 inference(resolution,[status(thm)],[f23,f38])).
% 202.67/26.09 fof(f50,plain,(
% 202.67/26.09 ![X0]: (subset(sK3_skl,X0)|in(sK1_skl(X0,sK3_skl),sK4_skl))),
% 202.67/26.09 inference(resolution,[status(thm)],[f24,f47])).
% 202.67/26.09 fof(f66,plain,(
% 202.67/26.09 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 202.67/26.09 inference(equality_resolution,[status(thm)],[f30])).
% 202.67/26.09 fof(f68,plain,(
% 202.67/26.09 ![X0,X1,X2]: (~in(sK1_skl(X0,set_difference(X1,X2)),X2)|subset(set_difference(X1,X2),X0))),
% 202.67/26.09 inference(resolution,[status(thm)],[f66,f24])).
% 202.67/26.09 fof(f70,plain,(
% 202.67/26.09 ![X0,X1,X2]: (in(X0,set_difference(X1,X2))|~in(X0,X1)|in(X0,X2))),
% 202.67/26.09 inference(equality_resolution,[status(thm)],[f31])).
% 202.67/26.09 fof(f73,plain,(
% 202.67/26.09 ![X0,X1,X2,X3]: (X0=set_difference(X1,set_difference(X2,X3))|~in(sK2_skl(X0,set_difference(X2,X3),X1),X0)|~in(sK2_skl(X0,set_difference(X2,X3),X1),X1)|~in(sK2_skl(X0,set_difference(X2,X3),X1),X3))),
% 202.67/26.09 inference(resolution,[status(thm)],[f32,f66])).
% 202.67/26.09 fof(f81,plain,(
% 202.67/26.09 ![X0,X1]: (in(sK1_skl(X0,sK3_skl),set_difference(sK4_skl,X1))|in(sK1_skl(X0,sK3_skl),X1)|subset(sK3_skl,X0))),
% 202.67/26.09 inference(resolution,[status(thm)],[f70,f50])).
% 202.67/26.09 fof(f97,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,X1)|X0=set_difference(X0,X1)|~in(sK2_skl(X0,X1,X0),X0)|in(sK2_skl(X0,X1,X0),X1))),
% 202.67/26.09 inference(resolution,[status(thm)],[f33,f32])).
% 202.67/26.09 fof(f118,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,X1)|~in(sK2_skl(X0,X1,X0),X0)|in(sK2_skl(X0,X1,X0),X1))),
% 202.67/26.09 inference(duplicate_literals_removal,[status(thm)],[f97])).
% 202.67/26.09 fof(f175,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,X1)|in(sK2_skl(X0,X1,X0),X1)|X0=set_difference(X0,X1))),
% 202.67/26.09 inference(resolution,[status(thm)],[f118,f33])).
% 202.67/26.09 fof(f181,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,X1)|in(sK2_skl(X0,X1,X0),X1))),
% 202.67/26.09 inference(duplicate_literals_removal,[status(thm)],[f175])).
% 202.67/26.09 fof(f189,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,X1)|X0=set_difference(X0,X1)|in(sK2_skl(X0,X1,X0),X0))),
% 202.67/26.09 inference(resolution,[status(thm)],[f181,f34])).
% 202.67/26.09 fof(f194,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,singleton(X1))|sK2_skl(X0,singleton(X1),X0)=X1)),
% 202.67/26.09 inference(resolution,[status(thm)],[f181,f46])).
% 202.67/26.09 fof(f199,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,X1)|in(sK2_skl(X0,X1,X0),X0))),
% 202.67/26.09 inference(duplicate_literals_removal,[status(thm)],[f189])).
% 202.67/26.09 fof(f349,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,singleton(X1))|in(X1,X0)|X0=set_difference(X0,singleton(X1)))),
% 202.67/26.09 inference(paramodulation,[status(thm)],[f194,f199])).
% 202.67/26.09 fof(f367,plain,(
% 202.67/26.09 ![X0,X1]: (X0=set_difference(X0,singleton(X1))|in(X1,X0))),
% 202.67/26.09 inference(duplicate_literals_removal,[status(thm)],[f349])).
% 139.65/26.16 fof(f396,plain,(
% 139.65/26.16 sK3_skl=set_difference(sK3_skl,singleton(sK5_skl))),
% 139.65/26.16 inference(resolution,[status(thm)],[f367,f39])).
% 139.65/26.16 fof(f504,plain,(
% 139.65/26.16 ![X0,X1]: (X0=set_difference(X0,set_difference(X1,X0))|~in(sK2_skl(X0,set_difference(X1,X0),X0),X0)|X0=set_difference(X0,set_difference(X1,X0)))),
% 139.65/26.16 inference(resolution,[status(thm)],[f73,f199])).
% 139.65/26.16 fof(f538,plain,(
% 139.65/26.16 ![X0,X1]: (X0=set_difference(X0,set_difference(X1,X0))|~in(sK2_skl(X0,set_difference(X1,X0),X0),X0))),
% 139.65/26.16 inference(duplicate_literals_removal,[status(thm)],[f504])).
% 139.65/26.16 fof(f539,plain,(
% 139.65/26.16 ![X0,X1]: (X0=set_difference(X0,set_difference(X1,X0)))),
% 139.65/26.16 inference(forward_subsumption_resolution,[status(thm)],[f538,f199])).
% 139.65/26.16 fof(f791,plain,(
% 139.65/26.16 singleton(sK5_skl)=set_difference(singleton(sK5_skl),sK3_skl)),
% 139.65/26.16 inference(paramodulation,[status(thm)],[f396,f539])).
% 139.65/26.16 fof(f800,plain,(
% 139.65/26.16 ![X0,X1,X2]: (~in(sK1_skl(X0,X1),set_difference(X2,X1))|subset(set_difference(X1,set_difference(X2,X1)),X0))),
% 139.65/26.16 inference(paramodulation,[status(thm)],[f539,f68])).
% 139.65/26.16 fof(f827,plain,(
% 139.65/26.16 ![X0,X1,X2]: (~in(sK1_skl(X0,X1),set_difference(X2,X1))|subset(X1,X0))),
% 139.65/26.16 inference(forward_demodulation,[status(thm)],[f539,f800])).
% 139.65/26.16 fof(f2498,plain,(
% 139.65/26.16 ![X0]: (in(sK1_skl(set_difference(sK4_skl,X0),sK3_skl),X0)|subset(sK3_skl,set_difference(sK4_skl,X0))|subset(sK3_skl,set_difference(sK4_skl,X0)))),
% 139.65/26.16 inference(resolution,[status(thm)],[f81,f25])).
% 139.65/26.16 fof(f2511,plain,(
% 139.65/26.16 ![X0]: (in(sK1_skl(set_difference(sK4_skl,X0),sK3_skl),X0)|subset(sK3_skl,set_difference(sK4_skl,X0)))),
% 139.65/26.16 inference(duplicate_literals_removal,[status(thm)],[f2498])).
% 139.65/26.16 fof(f88679,plain,(
% 139.65/26.16 ![X0]: (subset(sK3_skl,set_difference(sK4_skl,set_difference(X0,sK3_skl)))|subset(sK3_skl,set_difference(sK4_skl,set_difference(X0,sK3_skl))))),
% 139.65/26.16 inference(resolution,[status(thm)],[f2511,f827])).
% 139.65/26.16 fof(f88788,plain,(
% 139.65/26.16 ![X0]: (subset(sK3_skl,set_difference(sK4_skl,set_difference(X0,sK3_skl))))),
% 139.65/26.16 inference(duplicate_literals_removal,[status(thm)],[f88679])).
% 139.65/26.16 fof(f88839,plain,(
% 139.65/26.16 subset(sK3_skl,set_difference(sK4_skl,singleton(sK5_skl)))),
% 139.65/26.16 inference(paramodulation,[status(thm)],[f791,f88788])).
% 139.65/26.16 fof(f88853,plain,(
% 139.65/26.16 $false),
% 139.65/26.16 inference(forward_subsumption_resolution,[status(thm)],[f88839,f40])).
% 139.65/26.16 % SZS output end CNFRefutation for theBenchmark.p
% 20.69/26.31 % Elapsed time: 25.882280 seconds
% 20.69/26.31 % CPU time: 204.061775 seconds
% 20.69/26.31 % Total memory used: 732.152 MB
% 20.69/26.31 % Net memory used: 613.613 MB
%------------------------------------------------------------------------------