%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU132+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 : n006.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 24.21s 3.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU132+1 : 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 : n006.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 05:51:42 UTC 2026
% 0.09/0.50 % CPUTime :
% 0.09/0.51 % Drodi V4.1.1
% 24.21/3.69 % Refutation found
% 24.21/3.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.21/3.69 % SZS output start CNFRefutation for theBenchmark
% 24.21/3.69 fof(f2,axiom,(
% 24.21/3.69 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 24.21/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.21/3.69 fof(f3,axiom,(
% 24.21/3.69 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 24.21/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.21/3.69 fof(f10,conjecture,(
% 24.21/3.69 (! [A,B,C] :( subset(A,B)=> subset(set_difference(A,C),set_difference(B,C)) ) )),
% 24.21/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.21/3.69 fof(f11,negated_conjecture,(
% 24.21/3.69 ~((! [A,B,C] :( subset(A,B)=> subset(set_difference(A,C),set_difference(B,C)) ) ))),
% 24.21/3.69 inference(negated_conjecture,[status(cth)],[f10])).
% 24.21/3.69 fof(f19,plain,(
% 24.21/3.69 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 24.21/3.69 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 24.21/3.69 fof(f20,plain,(
% 24.21/3.69 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 24.21/3.69 inference(NNF_transformation,[status(thm)],[f19])).
% 24.21/3.69 fof(f21,plain,(
% 24.21/3.69 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 24.21/3.69 inference(miniscoping,[status(thm)],[f20])).
% 24.21/3.69 fof(f22,plain,(
% 24.21/3.69 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 24.21/3.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f21])).
% 24.21/3.69 fof(f23,plain,(
% 24.21/3.69 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 24.21/3.69 inference(cnf_transformation,[status(thm)],[f22])).
% 24.21/3.69 fof(f24,plain,(
% 24.21/3.69 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 24.21/3.69 inference(cnf_transformation,[status(thm)],[f22])).
% 24.21/3.69 fof(f25,plain,(
% 24.21/3.69 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 24.21/3.69 inference(cnf_transformation,[status(thm)],[f22])).
% 24.21/3.69 fof(f26,plain,(
% 24.21/3.69 ![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)))))))),
% 24.21/3.69 inference(NNF_transformation,[status(thm)],[f3])).
% 24.21/3.69 fof(f27,plain,(
% 24.21/3.69 (![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)))))))),
% 24.21/3.69 inference(miniscoping,[status(thm)],[f26])).
% 24.21/3.69 fof(f28,plain,(
% 24.21/3.69 (![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(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))))))),
% 24.21/3.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f27])).
% 24.21/3.69 fof(f29,plain,(
% 24.21/3.69 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 24.21/3.69 inference(cnf_transformation,[status(thm)],[f28])).
% 24.21/3.69 fof(f30,plain,(
% 24.21/3.69 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 24.21/3.69 inference(cnf_transformation,[status(thm)],[f28])).
% 24.21/3.69 fof(f31,plain,(
% 24.21/3.69 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|in(X3,X0)|~in(X3,X1)|in(X3,X2))),
% 24.21/3.69 inference(cnf_transformation,[status(thm)],[f28])).
% 24.21/3.69 fof(f42,plain,(
% 24.21/3.69 (?[A,B,C]: (subset(A,B)&~subset(set_difference(A,C),set_difference(B,C))))),
% 24.21/3.69 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 24.21/3.69 fof(f43,plain,(
% 24.21/3.69 ?[A,B]: (subset(A,B)&(?[C]: ~subset(set_difference(A,C),set_difference(B,C))))),
% 24.21/3.69 inference(miniscoping,[status(thm)],[f42])).
% 24.21/3.69 fof(f44,plain,(
% 24.21/3.69 (subset(sK4_skl,sK5_skl)&~subset(set_difference(sK4_skl,sK6_skl),set_difference(sK5_skl,sK6_skl)))),
% 24.21/3.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl),skolemize(C,sK6_skl)],[f43])).
% 24.21/3.69 fof(f45,plain,(
% 24.21/3.69 subset(sK4_skl,sK5_skl)),
% 24.21/3.69 inference(cnf_transformation,[status(thm)],[f44])).
% 24.21/3.69 fof(f46,plain,(
% 24.21/3.69 ~subset(set_difference(sK4_skl,sK6_skl),set_difference(sK5_skl,sK6_skl))),
% 24.21/3.69 inference(cnf_transformation,[status(thm)],[f44])).
% 24.21/3.69 fof(f57,plain,(
% 24.21/3.69 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|in(X0,X1))),
% 7.49/3.73 inference(destructive_equality_resolution,[status(thm)],[f29])).
% 7.49/3.73 fof(f58,plain,(
% 7.49/3.73 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 7.49/3.73 inference(destructive_equality_resolution,[status(thm)],[f30])).
% 7.49/3.73 fof(f59,plain,(
% 7.49/3.73 ![X0,X1,X2]: (in(X0,set_difference(X1,X2))|~in(X0,X1)|in(X0,X2))),
% 7.49/3.73 inference(destructive_equality_resolution,[status(thm)],[f31])).
% 7.49/3.73 fof(f60,plain,(
% 7.49/3.73 ![X0]: (~in(X0,sK4_skl)|in(X0,sK5_skl))),
% 7.49/3.73 inference(resolution,[status(thm)],[f23,f45])).
% 7.49/3.73 fof(f75,plain,(
% 7.49/3.73 ![X0,X1,X2]: (subset(set_difference(X0,X1),X2)|~in(sK0_skl(X2,set_difference(X0,X1)),X1))),
% 7.49/3.73 inference(resolution,[status(thm)],[f24,f58])).
% 7.49/3.73 fof(f76,plain,(
% 7.49/3.73 ![X0,X1,X2]: (subset(set_difference(X0,X1),X2)|in(sK0_skl(X2,set_difference(X0,X1)),X0))),
% 7.49/3.73 inference(resolution,[status(thm)],[f24,f57])).
% 7.49/3.73 fof(f360,plain,(
% 7.49/3.73 ![X0,X1]: (subset(set_difference(sK4_skl,X0),X1)|in(sK0_skl(X1,set_difference(sK4_skl,X0)),sK5_skl))),
% 7.49/3.73 inference(resolution,[status(thm)],[f76,f60])).
% 7.49/3.73 fof(f375,plain,(
% 7.49/3.73 ![X0,X1,X2]: (subset(set_difference(sK4_skl,X0),X1)|in(sK0_skl(X1,set_difference(sK4_skl,X0)),set_difference(sK5_skl,X2))|in(sK0_skl(X1,set_difference(sK4_skl,X0)),X2))),
% 7.49/3.73 inference(resolution,[status(thm)],[f360,f59])).
% 7.49/3.73 fof(f784,plain,(
% 7.49/3.73 ![X0,X1]: (subset(set_difference(sK4_skl,X0),set_difference(sK5_skl,X1))|in(sK0_skl(set_difference(sK5_skl,X1),set_difference(sK4_skl,X0)),X1)|subset(set_difference(sK4_skl,X0),set_difference(sK5_skl,X1)))),
% 7.49/3.73 inference(resolution,[status(thm)],[f375,f25])).
% 7.49/3.73 fof(f793,plain,(
% 7.49/3.73 ![X0,X1]: (subset(set_difference(sK4_skl,X0),set_difference(sK5_skl,X1))|in(sK0_skl(set_difference(sK5_skl,X1),set_difference(sK4_skl,X0)),X1))),
% 7.49/3.73 inference(duplicate_literals_removal,[status(thm)],[f784])).
% 7.49/3.73 fof(f4290,plain,(
% 7.49/3.73 ![X0]: (subset(set_difference(sK4_skl,X0),set_difference(sK5_skl,X0))|subset(set_difference(sK4_skl,X0),set_difference(sK5_skl,X0)))),
% 7.49/3.73 inference(resolution,[status(thm)],[f793,f75])).
% 7.49/3.73 fof(f4304,plain,(
% 7.49/3.73 ![X0]: (subset(set_difference(sK4_skl,X0),set_difference(sK5_skl,X0)))),
% 7.49/3.73 inference(duplicate_literals_removal,[status(thm)],[f4290])).
% 7.49/3.73 fof(f28658,plain,(
% 7.49/3.73 $false),
% 7.49/3.73 inference(backward_subsumption_resolution,[status(thm)],[f46,f4304])).
% 7.49/3.73 % SZS output end CNFRefutation for theBenchmark.p
% 7.49/3.73 % Elapsed time: 3.214823 seconds
% 7.49/3.73 % CPU time: 25.189001 seconds
% 7.49/3.73 % Total memory used: 292.127 MB
% 7.49/3.73 % Net memory used: 269.235 MB
%------------------------------------------------------------------------------