%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU144+2 : 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 : n015.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 0.14s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU144+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Computer : n015.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8046.5625MB
% 0.11/0.34 % OS : Linux 6.8.0-71-generic
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Sep 21 05:55:35 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.56 % Refutation found
% 0.14/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.56 fof(f7,axiom,(
% 0.14/0.56 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f11,axiom,(
% 0.14/0.56 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f29,conjecture,(
% 0.14/0.56 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f30,negated_conjecture,(
% 0.14/0.56 ~((! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) ))),
% 0.14/0.56 inference(negated_conjecture,[status(cth)],[f29])).
% 0.14/0.56 fof(f79,plain,(
% 0.14/0.56 ![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)))))),
% 0.14/0.56 inference(NNF_transformation,[status(thm)],[f7])).
% 0.14/0.56 fof(f80,plain,(
% 0.14/0.56 (![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)))))),
% 0.14/0.56 inference(miniscoping,[status(thm)],[f79])).
% 0.14/0.56 fof(f81,plain,(
% 0.14/0.56 (![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))))),
% 0.14/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f80])).
% 0.14/0.56 fof(f82,plain,(
% 0.14/0.56 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.56 fof(f83,plain,(
% 0.14/0.56 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.56 fof(f109,plain,(
% 0.14/0.56 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.14/0.56 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.14/0.56 fof(f110,plain,(
% 0.14/0.56 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.56 inference(NNF_transformation,[status(thm)],[f109])).
% 0.14/0.56 fof(f111,plain,(
% 0.14/0.56 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.56 inference(miniscoping,[status(thm)],[f110])).
% 0.14/0.56 fof(f112,plain,(
% 0.14/0.56 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK4_skl(B,A),A)&~in(sK4_skl(B,A),B))))),
% 0.14/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(C,sK4_skl(B,A))],[f111])).
% 0.14/0.56 fof(f113,plain,(
% 0.14/0.56 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f112])).
% 0.14/0.56 fof(f114,plain,(
% 0.14/0.56 ![X0,X1]: (subset(X0,X1)|in(sK4_skl(X1,X0),X0))),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f112])).
% 0.14/0.56 fof(f115,plain,(
% 0.14/0.56 ![X0,X1]: (subset(X0,X1)|~in(sK4_skl(X1,X0),X1))),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f112])).
% 0.14/0.56 fof(f157,plain,(
% 0.14/0.56 (?[A,B]: (subset(singleton(A),B)<~>in(A,B)))),
% 0.14/0.56 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.14/0.56 fof(f158,plain,(
% 0.14/0.56 ?[A,B]: ((subset(singleton(A),B)|in(A,B))&(~subset(singleton(A),B)|~in(A,B)))),
% 0.14/0.56 inference(NNF_transformation,[status(thm)],[f157])).
% 0.14/0.56 fof(f159,plain,(
% 0.14/0.56 ((subset(singleton(sK7_skl),sK8_skl)|in(sK7_skl,sK8_skl))&(~subset(singleton(sK7_skl),sK8_skl)|~in(sK7_skl,sK8_skl)))),
% 0.14/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(A,sK7_skl),skolemize(B,sK8_skl)],[f158])).
% 0.14/0.56 fof(f160,plain,(
% 0.14/0.56 subset(singleton(sK7_skl),sK8_skl)|in(sK7_skl,sK8_skl)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f159])).
% 0.14/0.56 fof(f161,plain,(
% 0.14/0.56 ~subset(singleton(sK7_skl),sK8_skl)|~in(sK7_skl,sK8_skl)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f159])).
% 0.14/0.56 fof(f246,plain,(
% 0.14/0.56 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.14/0.56 inference(destructive_equality_resolution,[status(thm)],[f82])).
% 0.14/0.56 fof(f247,plain,(
% 0.14/0.56 ![X0]: (in(X0,singleton(X0)))),
% 0.14/0.56 inference(destructive_equality_resolution,[status(thm)],[f83])).
% 0.14/0.56 fof(f266,plain,(
% 0.14/0.56 ![X0,X1]: (~subset(singleton(X0),X1)|in(X0,X1))),
% 0.14/0.56 inference(resolution,[status(thm)],[f113,f247])).
% 0.14/0.56 fof(f289,plain,(
% 0.14/0.56 in(sK7_skl,sK8_skl)),
% 0.14/0.56 inference(backward_subsumption_resolution,[status(thm)],[f160,f266])).
% 0.14/0.56 fof(f290,plain,(
% 0.14/0.56 ~subset(singleton(sK7_skl),sK8_skl)),
% 0.14/0.56 inference(backward_subsumption_resolution,[status(thm)],[f161,f266])).
% 0.14/0.57 fof(f488,plain,(
% 0.14/0.57 ![X0,X1]: (subset(singleton(X0),X1)|sK4_skl(X1,singleton(X0))=X0)),
% 0.14/0.57 inference(resolution,[status(thm)],[f114,f246])).
% 0.14/0.57 fof(f1394,plain,(
% 0.14/0.57 sK4_skl(sK8_skl,singleton(sK7_skl))=sK7_skl),
% 0.14/0.57 inference(resolution,[status(thm)],[f488,f290])).
% 0.14/0.57 fof(f1519,plain,(
% 0.14/0.57 subset(singleton(sK7_skl),sK8_skl)|~in(sK7_skl,sK8_skl)),
% 0.14/0.57 inference(paramodulation,[status(thm)],[f1394,f115])).
% 0.14/0.57 fof(f1521,plain,(
% 0.14/0.57 ~in(sK7_skl,sK8_skl)),
% 0.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1519,f290])).
% 0.14/0.57 fof(f1556,plain,(
% 0.14/0.57 $false),
% 0.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1521,f289])).
% 0.14/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 1.22/0.59 % Elapsed time: 0.229994 seconds
% 1.22/0.59 % CPU time: 1.500072 seconds
% 1.22/0.59 % Total memory used: 123.264 MB
% 1.22/0.59 % Net memory used: 120.289 MB
%------------------------------------------------------------------------------