%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET697+4 : TPTP v9.3.1. Released v2.2.0.
% 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 02:12:29 PM UTC 2026
% Result : Theorem 175.25s 22.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET697+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55 % Computer : n016.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Mon Sep 21 05:37:39 UTC 2026
% 0.09/0.55 % CPUTime :
% 0.09/0.56 % Drodi V4.1.1
% 175.25/22.80 % Refutation found
% 175.25/22.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 175.25/22.80 % SZS output start CNFRefutation for theBenchmark
% 175.25/22.80 fof(f1,axiom,(
% 175.25/22.80 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f2,axiom,(
% 175.25/22.80 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f4,axiom,(
% 175.25/22.80 (! [X,A,B] :( member(X,intersection(A,B))<=> ( member(X,A)& member(X,B) ) ) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f5,axiom,(
% 175.25/22.80 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f6,axiom,(
% 175.25/22.80 (! [X] : ~ member(X,empty_set) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f7,axiom,(
% 175.25/22.80 (! [B,A,E] :( member(B,difference(E,A))<=> ( member(B,E)& ~ member(B,A) ) ) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f8,axiom,(
% 175.25/22.80 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f10,axiom,(
% 175.25/22.80 (! [X,A] :( member(X,sum(A))<=> (? [Y] :( member(Y,A)& member(X,Y) ) )) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f11,axiom,(
% 175.25/22.80 (! [X,A] :( member(X,product(A))<=> (! [Y] :( member(Y,A)=> member(X,Y) ) )) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f12,conjecture,(
% 175.25/22.80 (! [A,B,E] :( ( subset(A,E)& subset(B,E) )=> ( subset(A,B)<=> equal_set(intersection(A,difference(E,B)),empty_set) ) ) )),
% 175.25/22.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.25/22.80 fof(f13,negated_conjecture,(
% 175.25/22.80 ~((! [A,B,E] :( ( subset(A,E)& subset(B,E) )=> ( subset(A,B)<=> equal_set(intersection(A,difference(E,B)),empty_set) ) ) ))),
% 175.25/22.80 inference(negated_conjecture,[status(cth)],[f12])).
% 175.25/22.80 fof(f14,plain,(
% 175.25/22.80 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 175.25/22.80 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 175.25/22.80 fof(f15,plain,(
% 175.25/22.80 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 175.25/22.80 inference(NNF_transformation,[status(thm)],[f14])).
% 175.25/22.80 fof(f16,plain,(
% 175.25/22.80 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 175.25/22.80 inference(miniscoping,[status(thm)],[f15])).
% 175.25/22.80 fof(f17,plain,(
% 175.25/22.80 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sK0_skl(B,A),A)&~member(sK0_skl(B,A),B))))),
% 175.25/22.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 175.25/22.80 fof(f18,plain,(
% 175.25/22.80 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 175.25/22.80 inference(cnf_transformation,[status(thm)],[f17])).
% 175.25/22.80 fof(f19,plain,(
% 175.25/22.80 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 175.25/22.80 inference(cnf_transformation,[status(thm)],[f17])).
% 175.25/22.80 fof(f20,plain,(
% 175.25/22.80 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 175.25/22.80 inference(cnf_transformation,[status(thm)],[f17])).
% 175.25/22.80 fof(f21,plain,(
% 175.25/22.80 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 175.25/22.80 inference(NNF_transformation,[status(thm)],[f2])).
% 175.25/22.80 fof(f22,plain,(
% 175.25/22.80 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 175.25/22.80 inference(miniscoping,[status(thm)],[f21])).
% 175.25/22.80 fof(f23,plain,(
% 175.25/22.80 ![X0,X1]: (~equal_set(X0,X1)|subset(X0,X1))),
% 175.25/22.80 inference(cnf_transformation,[status(thm)],[f22])).
% 175.25/22.80 fof(f25,plain,(
% 175.25/22.80 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 175.25/22.80 inference(cnf_transformation,[status(thm)],[f22])).
% 175.25/22.80 fof(f30,plain,(
% 175.25/22.80 ![X,A,B]: ((~member(X,intersection(A,B))|(member(X,A)&member(X,B)))&(member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 175.25/22.80 inference(NNF_transformation,[status(thm)],[f4])).
% 175.25/22.80 fof(f31,plain,(
% 175.25/22.80 (![X,A,B]: (~member(X,intersection(A,B))|(member(X,A)&member(X,B))))&(![X,A,B]: (member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 175.25/22.80 inference(miniscoping,[status(thm)],[f30])).
% 175.25/22.80 fof(f32,plain,(
% 175.25/22.80 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f31])).
% 175.25/22.81 fof(f33,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f31])).
% 175.25/22.81 fof(f34,plain,(
% 175.25/22.81 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f31])).
% 175.25/22.81 fof(f35,plain,(
% 175.25/22.81 ![X,A,B]: ((~member(X,union(A,B))|(member(X,A)|member(X,B)))&(member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 175.25/22.81 inference(NNF_transformation,[status(thm)],[f5])).
% 175.25/22.81 fof(f36,plain,(
% 175.25/22.81 (![X,A,B]: (~member(X,union(A,B))|(member(X,A)|member(X,B))))&(![X,A,B]: (member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 175.25/22.81 inference(miniscoping,[status(thm)],[f35])).
% 175.25/22.81 fof(f37,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f36])).
% 175.25/22.81 fof(f40,plain,(
% 175.25/22.81 ![X0]: (~member(X0,empty_set))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f6])).
% 175.25/22.81 fof(f41,plain,(
% 175.25/22.81 ![B,A,E]: ((~member(B,difference(E,A))|(member(B,E)&~member(B,A)))&(member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 175.25/22.81 inference(NNF_transformation,[status(thm)],[f7])).
% 175.25/22.81 fof(f42,plain,(
% 175.25/22.81 (![B,A,E]: (~member(B,difference(E,A))|(member(B,E)&~member(B,A))))&(![B,A,E]: (member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 175.25/22.81 inference(miniscoping,[status(thm)],[f41])).
% 175.25/22.81 fof(f43,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f42])).
% 175.25/22.81 fof(f44,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f42])).
% 175.25/22.81 fof(f45,plain,(
% 175.25/22.81 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f42])).
% 175.25/22.81 fof(f46,plain,(
% 175.25/22.81 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 175.25/22.81 inference(NNF_transformation,[status(thm)],[f8])).
% 175.25/22.81 fof(f47,plain,(
% 175.25/22.81 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 175.25/22.81 inference(miniscoping,[status(thm)],[f46])).
% 175.25/22.81 fof(f49,plain,(
% 175.25/22.81 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f47])).
% 175.25/22.81 fof(f55,plain,(
% 175.25/22.81 ![X,A]: ((~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y))))&(member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 175.25/22.81 inference(NNF_transformation,[status(thm)],[f10])).
% 175.25/22.81 fof(f56,plain,(
% 175.25/22.81 (![X,A]: (~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y)))))&(![X,A]: (member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 175.25/22.81 inference(miniscoping,[status(thm)],[f55])).
% 175.25/22.81 fof(f57,plain,(
% 175.25/22.81 (![X,A]: (~member(X,sum(A))|(member(sK1_skl(A,X),A)&member(X,sK1_skl(A,X)))))&(![X,A]: (member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 175.25/22.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(A,X))],[f56])).
% 175.25/22.81 fof(f58,plain,(
% 175.25/22.81 ![X0,X1]: (~member(X0,sum(X1))|member(sK1_skl(X1,X0),X1))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f57])).
% 175.25/22.81 fof(f60,plain,(
% 175.25/22.81 ![X0,X1,X2]: (member(X0,sum(X1))|~member(X2,X1)|~member(X0,X2))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f57])).
% 175.25/22.81 fof(f61,plain,(
% 175.25/22.81 ![X,A]: (member(X,product(A))<=>(![Y]: (~member(Y,A)|member(X,Y))))),
% 175.25/22.81 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 175.25/22.81 fof(f62,plain,(
% 175.25/22.81 ![X,A]: ((~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y))))&(member(X,product(A))|(?[Y]: (member(Y,A)&~member(X,Y)))))),
% 175.25/22.81 inference(NNF_transformation,[status(thm)],[f61])).
% 175.25/22.81 fof(f63,plain,(
% 175.25/22.81 (![X,A]: (~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y)))))&(![X,A]: (member(X,product(A))|(?[Y]: (member(Y,A)&~member(X,Y)))))),
% 175.25/22.81 inference(miniscoping,[status(thm)],[f62])).
% 175.25/22.81 fof(f64,plain,(
% 175.25/22.81 (![X,A]: (~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y)))))&(![X,A]: (member(X,product(A))|(member(sK2_skl(A,X),A)&~member(X,sK2_skl(A,X)))))),
% 175.25/22.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(A,X))],[f63])).
% 175.25/22.81 fof(f65,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,product(X1))|~member(X2,X1)|member(X0,X2))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f64])).
% 175.25/22.81 fof(f66,plain,(
% 175.25/22.81 ![X0,X1]: (member(X0,product(X1))|member(sK2_skl(X1,X0),X1))),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f64])).
% 175.25/22.81 fof(f68,plain,(
% 175.25/22.81 (?[A,B,E]: ((subset(A,E)&subset(B,E))&(subset(A,B)<~>equal_set(intersection(A,difference(E,B)),empty_set))))),
% 175.25/22.81 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 175.25/22.81 fof(f69,plain,(
% 175.25/22.81 ?[A,B,E]: ((subset(A,E)&subset(B,E))&((subset(A,B)|equal_set(intersection(A,difference(E,B)),empty_set))&(~subset(A,B)|~equal_set(intersection(A,difference(E,B)),empty_set))))),
% 175.25/22.81 inference(NNF_transformation,[status(thm)],[f68])).
% 175.25/22.81 fof(f70,plain,(
% 175.25/22.81 ((subset(sK3_skl,sK5_skl)&subset(sK4_skl,sK5_skl))&((subset(sK3_skl,sK4_skl)|equal_set(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),empty_set))&(~subset(sK3_skl,sK4_skl)|~equal_set(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),empty_set))))),
% 175.25/22.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(E,sK5_skl)],[f69])).
% 175.25/22.81 fof(f71,plain,(
% 175.25/22.81 subset(sK3_skl,sK5_skl)),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f70])).
% 175.25/22.81 fof(f73,plain,(
% 175.25/22.81 subset(sK3_skl,sK4_skl)|equal_set(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),empty_set)),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f70])).
% 175.25/22.81 fof(f74,plain,(
% 175.25/22.81 ~subset(sK3_skl,sK4_skl)|~equal_set(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),empty_set)),
% 175.25/22.81 inference(cnf_transformation,[status(thm)],[f70])).
% 175.25/22.81 fof(f75,plain,(
% 175.25/22.81 ![X0]: (member(X0,singleton(X0)))),
% 175.25/22.81 inference(destructive_equality_resolution,[status(thm)],[f49])).
% 175.25/22.81 fof(f78,plain,(
% 175.25/22.81 subset(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),empty_set)|subset(sK3_skl,sK4_skl)),
% 175.25/22.81 inference(resolution,[status(thm)],[f23,f73])).
% 175.25/22.81 fof(f82,plain,(
% 175.25/22.81 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f19,f32])).
% 175.25/22.81 fof(f83,plain,(
% 175.25/22.81 ![X0]: (subset(empty_set,X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f19,f40])).
% 175.25/22.81 fof(f84,plain,(
% 175.25/22.81 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sK0_skl(X1,X0),X2))),
% 175.25/22.81 inference(resolution,[status(thm)],[f19,f18])).
% 175.25/22.81 fof(f87,plain,(
% 175.25/22.81 ![X0,X1,X2]: (member(sK0_skl(X0,intersection(X1,X2)),X2)|subset(intersection(X1,X2),X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f33,f19])).
% 175.25/22.81 fof(f88,plain,(
% 175.25/22.81 ![X0,X1,X2]: (member(sK0_skl(X0,difference(X1,X2)),X1)|subset(difference(X1,X2),X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f43,f19])).
% 175.25/22.81 fof(f96,plain,(
% 175.25/22.81 ![X0]: (subset(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),X0)|member(sK0_skl(X0,intersection(sK3_skl,difference(sK5_skl,sK4_skl))),empty_set)|subset(sK3_skl,sK4_skl))),
% 175.25/22.81 inference(resolution,[status(thm)],[f84,f78])).
% 175.25/22.81 fof(f99,plain,(
% 175.25/22.81 ![X0]: (subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),sK5_skl))),
% 175.25/22.81 inference(resolution,[status(thm)],[f84,f71])).
% 175.25/22.81 fof(f101,plain,(
% 175.25/22.81 ![X0]: (subset(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),X0)|subset(sK3_skl,sK4_skl))),
% 175.25/22.81 inference(forward_subsumption_resolution,[status(thm)],[f96,f40])).
% 175.25/22.81 fof(f111,plain,(
% 175.25/22.81 ![X0,X1]: (member(sK0_skl(X0,sK3_skl),difference(sK5_skl,X1))|member(sK0_skl(X0,sK3_skl),X1)|subset(sK3_skl,X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f45,f99])).
% 175.25/22.81 fof(f121,plain,(
% 175.25/22.81 ![X0,X1]: (subset(intersection(empty_set,X0),X1))),
% 175.25/22.81 inference(resolution,[status(thm)],[f82,f40])).
% 175.25/22.81 fof(f124,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (subset(intersection(X0,X1),X2)|~subset(X0,X3)|member(sK0_skl(X2,intersection(X0,X1)),X3))),
% 175.25/22.81 inference(resolution,[status(thm)],[f82,f18])).
% 175.25/22.81 fof(f129,plain,(
% 175.25/22.81 ![X0,X1]: (member(X0,intersection(X1,singleton(X0)))|~member(X0,X1))),
% 175.25/22.81 inference(resolution,[status(thm)],[f75,f34])).
% 175.25/22.81 fof(f140,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (member(sK0_skl(X0,intersection(union(X1,X2),X3)),X1)|member(sK0_skl(X0,intersection(union(X1,X2),X3)),X2)|subset(intersection(union(X1,X2),X3),X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f37,f82])).
% 175.25/22.81 fof(f173,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (subset(intersection(X0,difference(X1,X2)),X3)|~member(sK0_skl(X3,intersection(X0,difference(X1,X2))),X2))),
% 175.25/22.81 inference(resolution,[status(thm)],[f87,f44])).
% 175.25/22.81 fof(f213,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,X1)|~member(X2,X0)|member(sK1_skl(X1,X2),X1))),
% 175.25/22.81 inference(resolution,[status(thm)],[f60,f58])).
% 175.25/22.81 fof(f244,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,X1)|~subset(intersection(X1,singleton(X0)),X2)|member(X0,X2))),
% 175.25/22.81 inference(resolution,[status(thm)],[f129,f18])).
% 175.25/22.81 fof(f307,plain,(
% 175.25/22.81 ![X0,X1,X2]: (member(X0,product(X1))|~subset(X1,X2)|member(sK2_skl(X1,X0),X2))),
% 175.25/22.81 inference(resolution,[status(thm)],[f66,f18])).
% 175.25/22.81 fof(f323,plain,(
% 175.25/22.81 ![X0,X1,X2]: (member(sK0_skl(X0,sK3_skl),X1)|subset(sK3_skl,X0)|member(sK0_skl(X0,sK3_skl),intersection(X2,difference(sK5_skl,X1)))|~member(sK0_skl(X0,sK3_skl),X2))),
% 175.25/22.81 inference(resolution,[status(thm)],[f111,f34])).
% 175.25/22.81 fof(f1063,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (~member(X0,difference(X1,X2))|~member(X3,X0)|member(sK1_skl(difference(X1,X2),X3),X1))),
% 175.25/22.81 inference(resolution,[status(thm)],[f213,f43])).
% 175.25/22.81 fof(f1065,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (~member(X0,intersection(X1,X2))|~member(X3,X0)|member(sK1_skl(intersection(X1,X2),X3),X1))),
% 175.25/22.81 inference(resolution,[status(thm)],[f213,f32])).
% 175.25/22.81 fof(f1449,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,intersection(empty_set,X1))|~member(X2,X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f1065,f40])).
% 175.25/22.81 fof(f1961,plain,(
% 175.25/22.81 ![X0,X1]: (member(X0,product(X1))|~subset(X1,empty_set))),
% 175.25/22.81 inference(resolution,[status(thm)],[f307,f40])).
% 175.25/22.81 fof(f1999,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~subset(X0,empty_set)|~member(X1,X0)|member(X2,X1))),
% 175.25/22.81 inference(resolution,[status(thm)],[f1961,f65])).
% 175.25/22.81 fof(f2034,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,intersection(empty_set,X1))|member(X2,X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f1999,f121])).
% 175.25/22.81 fof(f2068,plain,(
% 175.25/22.81 ![X0,X1]: (~member(X0,intersection(empty_set,X1)))),
% 175.25/22.81 inference(forward_subsumption_resolution,[status(thm)],[f2034,f1449])).
% 175.25/22.81 fof(f2138,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (~member(X0,difference(intersection(empty_set,X1),X2))|~member(X3,X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f2068,f1063])).
% 175.25/22.81 fof(f2158,plain,(
% 175.25/22.81 ![X0,X1,X2]: (subset(difference(intersection(empty_set,X0),X1),X2))),
% 175.25/22.81 inference(resolution,[status(thm)],[f2068,f88])).
% 175.25/22.81 fof(f2551,plain,(
% 175.25/22.81 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|~subset(X0,empty_set))),
% 175.25/22.81 inference(resolution,[status(thm)],[f124,f40])).
% 175.25/22.81 fof(f2602,plain,(
% 175.25/22.81 ![X0,X1]: (subset(intersection(union(empty_set,empty_set),X0),X1))),
% 175.25/22.81 inference(resolution,[status(thm)],[f140,f40])).
% 175.25/22.81 fof(f2744,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (~member(X0,difference(intersection(empty_set,X1),X2))|member(X3,X0))),
% 175.25/22.81 inference(resolution,[status(thm)],[f2158,f1999])).
% 175.25/22.81 fof(f2746,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,difference(intersection(empty_set,X1),X2)))),
% 175.25/22.81 inference(forward_subsumption_resolution,[status(thm)],[f2744,f2138])).
% 175.25/22.81 fof(f3238,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (subset(intersection(X0,difference(X1,X2)),X3)|subset(intersection(X0,difference(X1,X2)),X3)|~subset(X0,X2))),
% 175.25/22.81 inference(resolution,[status(thm)],[f173,f124])).
% 175.25/22.81 fof(f3280,plain,(
% 175.25/22.81 ![X0]: (subset(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),X0))),
% 175.25/22.81 inference(backward_subsumption_resolution,[status(thm)],[f101,f3281])).
% 175.25/22.81 fof(f3281,plain,(
% 175.25/22.81 ![X0,X1,X2,X3]: (subset(intersection(X0,difference(X1,X2)),X3)|~subset(X0,X2))),
% 175.25/22.81 inference(duplicate_literals_removal,[status(thm)],[f3238])).
% 175.25/22.81 fof(f4916,plain,(
% 175.25/22.81 ![X0,X1]: (~member(X0,union(empty_set,empty_set))|member(X0,X1))),
% 175.25/22.81 inference(resolution,[status(thm)],[f244,f2602])).
% 175.25/22.81 fof(f4934,plain,(
% 175.25/22.81 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|~subset(X1,empty_set))),
% 175.25/22.81 inference(resolution,[status(thm)],[f244,f2551])).
% 175.25/22.81 fof(f5795,plain,(
% 175.25/22.81 ![X0]: (~member(X0,union(empty_set,empty_set)))),
% 175.25/22.81 inference(resolution,[status(thm)],[f4916,f2746])).
% 175.25/22.81 fof(f6315,plain,(
% 175.25/22.81 ![X0,X1]: (~member(X0,X1)|~subset(X1,empty_set))),
% 175.25/22.81 inference(resolution,[status(thm)],[f4934,f5795])).
% 175.25/22.81 fof(f6448,plain,(
% 175.25/22.81 ![X0]: (~member(X0,intersection(sK3_skl,difference(sK5_skl,sK4_skl))))),
% 175.25/22.81 inference(resolution,[status(thm)],[f6315,f3280])).
% 175.25/22.81 fof(f7114,plain,(
% 175.25/22.81 ![X0]: (member(sK0_skl(X0,sK3_skl),sK4_skl)|subset(sK3_skl,X0)|~member(sK0_skl(X0,sK3_skl),sK3_skl))),
% 175.25/22.81 inference(resolution,[status(thm)],[f6448,f323])).
% 175.25/22.81 fof(f7120,plain,(
% 175.25/22.81 ![X0]: (member(sK0_skl(X0,sK3_skl),sK4_skl)|subset(sK3_skl,X0))),
% 175.25/22.81 inference(forward_subsumption_resolution,[status(thm)],[f7114,f19])).
% 91.20/22.99 fof(f7128,plain,(
% 91.20/22.99 subset(sK3_skl,sK4_skl)|subset(sK3_skl,sK4_skl)),
% 91.20/22.99 inference(resolution,[status(thm)],[f7120,f20])).
% 91.20/22.99 fof(f7138,plain,(
% 91.20/22.99 ~equal_set(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),empty_set)),
% 91.20/22.99 inference(backward_subsumption_resolution,[status(thm)],[f74,f7139])).
% 91.20/22.99 fof(f7139,plain,(
% 91.20/22.99 subset(sK3_skl,sK4_skl)),
% 91.20/22.99 inference(duplicate_literals_removal,[status(thm)],[f7128])).
% 91.20/22.99 fof(f7140,plain,(
% 91.20/22.99 ~subset(intersection(sK3_skl,difference(sK5_skl,sK4_skl)),empty_set)|~subset(empty_set,intersection(sK3_skl,difference(sK5_skl,sK4_skl)))),
% 91.20/22.99 inference(resolution,[status(thm)],[f7138,f25])).
% 91.20/22.99 fof(f7141,plain,(
% 91.20/22.99 ~subset(empty_set,intersection(sK3_skl,difference(sK5_skl,sK4_skl)))),
% 91.20/22.99 inference(forward_subsumption_resolution,[status(thm)],[f7140,f3280])).
% 91.20/22.99 fof(f7378,plain,(
% 91.20/22.99 $false),
% 91.20/22.99 inference(resolution,[status(thm)],[f7141,f83])).
% 91.20/22.99 % SZS output end CNFRefutation for theBenchmark.p
% 91.20/22.99 % Elapsed time: 22.408769 seconds
% 91.20/22.99 % CPU time: 176.930539 seconds
% 91.20/22.99 % Total memory used: 696.656 MB
% 91.20/22.99 % Net memory used: 604.042 MB
%------------------------------------------------------------------------------