%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU133+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 : n016.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 02:21:45 PM UTC 2026
% Result : Theorem 0.84s 0.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU133+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.50 % Computer : n016.cluster.edu
% 0.09/0.50 % Model : x86_64 x86_64
% 0.09/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.50 % Memory : 8046.5625MB
% 0.09/0.50 % OS : Linux 6.8.0-71-generic
% 0.09/0.50 % CPULimit : 300
% 0.09/0.50 % WCLimit : 300
% 0.09/0.50 % DateTime : Mon Sep 21 05:56:37 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.09/0.52 % Drodi V4.1.1
% 0.84/0.77 % Refutation found
% 0.84/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.84/0.77 % SZS output start CNFRefutation for theBenchmark
% 0.84/0.77 fof(f7,axiom,(
% 0.84/0.77 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.84/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.84/0.77 fof(f9,axiom,(
% 0.84/0.77 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 0.84/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.84/0.77 fof(f36,conjecture,(
% 0.84/0.77 (! [A,B] : subset(set_difference(A,B),A) )),
% 0.84/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.84/0.77 fof(f37,negated_conjecture,(
% 0.84/0.77 ~((! [A,B] : subset(set_difference(A,B),A) ))),
% 0.84/0.77 inference(negated_conjecture,[status(cth)],[f36])).
% 0.84/0.77 fof(f71,plain,(
% 0.84/0.77 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.84/0.77 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.84/0.77 fof(f72,plain,(
% 0.84/0.77 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.84/0.77 inference(NNF_transformation,[status(thm)],[f71])).
% 0.84/0.77 fof(f73,plain,(
% 0.84/0.77 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.84/0.77 inference(miniscoping,[status(thm)],[f72])).
% 0.84/0.77 fof(f74,plain,(
% 0.84/0.77 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK2_skl(B,A),A)&~in(sK2_skl(B,A),B))))),
% 0.84/0.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f73])).
% 0.84/0.77 fof(f76,plain,(
% 0.84/0.77 ![X0,X1]: (subset(X0,X1)|in(sK2_skl(X1,X0),X0))),
% 0.84/0.77 inference(cnf_transformation,[status(thm)],[f74])).
% 0.84/0.77 fof(f77,plain,(
% 0.84/0.77 ![X0,X1]: (subset(X0,X1)|~in(sK2_skl(X1,X0),X1))),
% 0.84/0.77 inference(cnf_transformation,[status(thm)],[f74])).
% 0.84/0.77 fof(f87,plain,(
% 0.84/0.77 ![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)))))))),
% 0.84/0.77 inference(NNF_transformation,[status(thm)],[f9])).
% 0.84/0.77 fof(f88,plain,(
% 0.84/0.77 (![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)))))))),
% 0.84/0.77 inference(miniscoping,[status(thm)],[f87])).
% 0.84/0.77 fof(f89,plain,(
% 0.84/0.77 (![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(sK4_skl(C,B,A),C)|(~in(sK4_skl(C,B,A),A)|in(sK4_skl(C,B,A),B)))&(in(sK4_skl(C,B,A),C)|(in(sK4_skl(C,B,A),A)&~in(sK4_skl(C,B,A),B))))))),
% 0.84/0.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(D,sK4_skl(C,B,A))],[f88])).
% 0.84/0.77 fof(f90,plain,(
% 0.84/0.77 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 0.84/0.77 inference(cnf_transformation,[status(thm)],[f89])).
% 0.84/0.77 fof(f147,plain,(
% 0.84/0.77 (?[A,B]: ~subset(set_difference(A,B),A))),
% 0.84/0.77 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.84/0.77 fof(f148,plain,(
% 0.84/0.77 ~subset(set_difference(sK8_skl,sK9_skl),sK8_skl)),
% 0.84/0.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl)],[f147])).
% 0.84/0.77 fof(f149,plain,(
% 0.84/0.77 ~subset(set_difference(sK8_skl,sK9_skl),sK8_skl)),
% 0.84/0.77 inference(cnf_transformation,[status(thm)],[f148])).
% 0.84/0.77 fof(f185,plain,(
% 0.84/0.77 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|in(X0,X1))),
% 0.84/0.77 inference(destructive_equality_resolution,[status(thm)],[f90])).
% 0.84/0.77 fof(f311,plain,(
% 0.84/0.77 ![X0,X1,X2]: (subset(set_difference(X0,X1),X2)|in(sK2_skl(X2,set_difference(X0,X1)),X0))),
% 0.84/0.77 inference(resolution,[status(thm)],[f76,f185])).
% 0.84/0.77 fof(f2369,plain,(
% 0.84/0.77 ![X0,X1]: (subset(set_difference(X0,X1),X0)|subset(set_difference(X0,X1),X0))),
% 0.84/0.77 inference(resolution,[status(thm)],[f311,f77])).
% 0.84/0.77 fof(f2387,plain,(
% 0.84/0.77 ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 0.84/0.77 inference(duplicate_literals_removal,[status(thm)],[f2369])).
% 0.84/0.77 fof(f2394,plain,(
% 0.84/0.77 $false),
% 0.84/0.77 inference(backward_subsumption_resolution,[status(thm)],[f149,f2387])).
% 0.84/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 0.84/0.79 % Elapsed time: 0.268311 seconds
% 0.84/0.79 % CPU time: 1.781151 seconds
% 0.84/0.79 % Total memory used: 123.658 MB
% 0.84/0.79 % Net memory used: 120.430 MB
%------------------------------------------------------------------------------