%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET162+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 : n017.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 02:11:41 PM UTC 2026
% Result : Theorem 0.12s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET162+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
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 04:52:42 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.51 % Refutation found
% 0.12/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.51 fof(f1,axiom,(
% 0.12/0.51 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f2,axiom,(
% 0.12/0.51 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f5,axiom,(
% 0.12/0.51 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f6,axiom,(
% 0.12/0.51 (! [X] : ~ member(X,empty_set) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f12,conjecture,(
% 0.12/0.51 (! [A] : equal_set(union(A,empty_set),A) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f13,negated_conjecture,(
% 0.12/0.51 ~((! [A] : equal_set(union(A,empty_set),A) ))),
% 0.12/0.51 inference(negated_conjecture,[status(cth)],[f12])).
% 0.12/0.51 fof(f14,plain,(
% 0.12/0.51 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.51 fof(f15,plain,(
% 0.12/0.51 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.12/0.51 inference(NNF_transformation,[status(thm)],[f14])).
% 0.12/0.51 fof(f16,plain,(
% 0.12/0.51 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.12/0.51 inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.51 fof(f17,plain,(
% 0.12/0.51 (![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))))),
% 0.12/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.12/0.51 fof(f19,plain,(
% 0.12/0.51 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.51 fof(f20,plain,(
% 0.12/0.51 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.51 fof(f21,plain,(
% 0.12/0.51 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.12/0.51 inference(NNF_transformation,[status(thm)],[f2])).
% 0.12/0.51 fof(f22,plain,(
% 0.12/0.51 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.12/0.51 inference(miniscoping,[status(thm)],[f21])).
% 0.12/0.51 fof(f23,plain,(
% 0.12/0.51 ![X0,X1]: (~equal_set(X0,X1)|subset(X0,X1))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.51 fof(f24,plain,(
% 0.12/0.51 ![X0,X1]: (~equal_set(X0,X1)|subset(X1,X0))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.51 fof(f25,plain,(
% 0.12/0.51 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.51 fof(f35,plain,(
% 0.12/0.51 ![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))))),
% 0.12/0.51 inference(NNF_transformation,[status(thm)],[f5])).
% 0.12/0.51 fof(f36,plain,(
% 0.12/0.51 (![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))))),
% 0.12/0.51 inference(miniscoping,[status(thm)],[f35])).
% 0.12/0.51 fof(f37,plain,(
% 0.12/0.51 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.51 fof(f38,plain,(
% 0.12/0.51 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.51 fof(f40,plain,(
% 0.12/0.51 ![X0]: (~member(X0,empty_set))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.51 fof(f68,plain,(
% 0.12/0.51 (?[A]: ~equal_set(union(A,empty_set),A))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.51 fof(f69,plain,(
% 0.12/0.51 ~equal_set(union(sK3_skl,empty_set),sK3_skl)),
% 0.12/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f68])).
% 0.12/0.51 fof(f70,plain,(
% 0.12/0.51 ~equal_set(union(sK3_skl,empty_set),sK3_skl)),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.51 fof(f75,plain,(
% 0.12/0.51 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~equal_set(X1,X0))),
% 0.12/0.51 inference(resolution,[status(thm)],[f25,f23])).
% 0.12/0.51 fof(f76,plain,(
% 0.12/0.51 ![X0,X1]: (equal_set(X0,X1)|~equal_set(X1,X0))),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f75,f24])).
% 0.12/0.53 fof(f78,plain,(
% 0.12/0.53 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(sK0_skl(X2,union(X0,X1)),X0)|member(sK0_skl(X2,union(X0,X1)),X1))),
% 0.12/0.53 inference(resolution,[status(thm)],[f19,f37])).
% 0.12/0.53 fof(f81,plain,(
% 0.12/0.53 ![X0,X1,X2]: (subset(X0,X1)|member(sK0_skl(X1,X0),union(X0,X2)))),
% 0.12/0.53 inference(resolution,[status(thm)],[f19,f38])).
% 0.12/0.53 fof(f96,plain,(
% 0.12/0.53 ![X0,X1]: (subset(union(X0,empty_set),X1)|member(sK0_skl(X1,union(X0,empty_set)),X0))),
% 0.12/0.53 inference(resolution,[status(thm)],[f78,f40])).
% 0.12/0.53 fof(f130,plain,(
% 0.12/0.53 ![X0]: (subset(union(X0,empty_set),X0)|subset(union(X0,empty_set),X0))),
% 0.12/0.53 inference(resolution,[status(thm)],[f96,f20])).
% 0.12/0.53 fof(f136,plain,(
% 0.12/0.53 ![X0]: (subset(union(X0,empty_set),X0))),
% 0.12/0.53 inference(duplicate_literals_removal,[status(thm)],[f130])).
% 0.12/0.53 fof(f199,plain,(
% 0.12/0.53 ![X0]: (equal_set(X0,union(X0,empty_set))|~subset(X0,union(X0,empty_set)))),
% 0.12/0.53 inference(resolution,[status(thm)],[f136,f25])).
% 0.12/0.53 fof(f200,plain,(
% 0.12/0.53 ![X0,X1]: (subset(X0,union(X0,X1))|subset(X0,union(X0,X1)))),
% 0.12/0.53 inference(resolution,[status(thm)],[f81,f20])).
% 0.12/0.53 fof(f205,plain,(
% 0.12/0.53 ![X0]: (equal_set(X0,union(X0,empty_set)))),
% 0.12/0.53 inference(backward_subsumption_resolution,[status(thm)],[f199,f206])).
% 0.12/0.53 fof(f206,plain,(
% 0.12/0.53 ![X0,X1]: (subset(X0,union(X0,X1)))),
% 0.12/0.53 inference(duplicate_literals_removal,[status(thm)],[f200])).
% 0.12/0.53 fof(f433,plain,(
% 0.12/0.53 ![X0]: (equal_set(union(X0,empty_set),X0))),
% 0.12/0.53 inference(resolution,[status(thm)],[f205,f76])).
% 0.12/0.53 fof(f435,plain,(
% 0.12/0.53 $false),
% 0.12/0.53 inference(backward_subsumption_resolution,[status(thm)],[f70,f433])).
% 0.12/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.55 % Elapsed time: 0.158026 seconds
% 0.17/0.55 % CPU time: 0.981636 seconds
% 0.17/0.55 % Total memory used: 95.775 MB
% 0.17/0.55 % Net memory used: 94.410 MB
%------------------------------------------------------------------------------