%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU159+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 02:21:50 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU159+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:53:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,conjecture,(
% 0.09/0.40 (! [A,B,C] :( subset(unordered_pair(A,B),C)<=> ( in(A,C)& in(B,C) ) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,negated_conjecture,(
% 0.09/0.40 ~((! [A,B,C] :( subset(unordered_pair(A,B),C)<=> ( in(A,C)& in(B,C) ) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f8])).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f14,plain,(
% 0.09/0.40 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sK0_skl(C,B,A),C)|(~sK0_skl(C,B,A)=A&~sK0_skl(C,B,A)=B))&(in(sK0_skl(C,B,A),C)|(sK0_skl(C,B,A)=A|sK0_skl(C,B,A)=B)))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B,A))],[f14])).
% 0.09/0.40 fof(f16,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|~in(X3,X0)|X3=X1|X3=X2)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X2)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f22])).
% 0.09/0.40 fof(f24,plain,(
% 0.09/0.40 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f23])).
% 0.09/0.40 fof(f25,plain,(
% 0.09/0.40 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK1_skl(B,A),A)&~in(sK1_skl(B,A),B))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f24])).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 (?[A,B,C]: (subset(unordered_pair(A,B),C)<~>(in(A,C)&in(B,C))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 ?[A,B,C]: ((subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C)))&(~subset(unordered_pair(A,B),C)|(~in(A,C)|~in(B,C))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f35])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 ((subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)|(in(sK4_skl,sK6_skl)&in(sK5_skl,sK6_skl)))&(~subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)|(~in(sK4_skl,sK6_skl)|~in(sK5_skl,sK6_skl))))),
% 0.09/0.40 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)],[f36])).
% 0.09/0.40 fof(f38,plain,(
% 0.09/0.40 subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)|in(sK4_skl,sK6_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.40 fof(f39,plain,(
% 0.09/0.40 subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)|in(sK5_skl,sK6_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 ~subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)|~in(sK4_skl,sK6_skl)|~in(sK5_skl,sK6_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~in(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f16])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f17])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f18])).
% 0.09/0.40 fof(f62,plain,(
% 0.09/0.40 ![X0,X1,X2]: (subset(unordered_pair(X0,X1),X2)|sK1_skl(X2,unordered_pair(X0,X1))=X0|sK1_skl(X2,unordered_pair(X0,X1))=X1)),
% 0.09/0.40 inference(resolution,[status(thm)],[f27,f41])).
% 0.09/0.40 fof(f70,plain,(
% 0.09/0.40 ![X0]: (~in(X0,unordered_pair(sK4_skl,sK5_skl))|in(X0,sK6_skl)|in(sK5_skl,sK6_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f26,f39])).
% 0.09/0.40 fof(f71,plain,(
% 0.09/0.40 ![X0]: (~in(X0,unordered_pair(sK4_skl,sK5_skl))|in(X0,sK6_skl)|in(sK4_skl,sK6_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f26,f38])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 in(sK5_skl,sK6_skl)|in(sK5_skl,sK6_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f70,f43])).
% 0.09/0.40 fof(f77,plain,(
% 0.09/0.40 ~subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)|~in(sK4_skl,sK6_skl)),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f40,f78])).
% 0.09/0.40 fof(f78,plain,(
% 0.09/0.40 in(sK5_skl,sK6_skl)),
% 0.09/0.40 inference(duplicate_literals_removal,[status(thm)],[f75])).
% 0.09/0.40 fof(f83,plain,(
% 0.09/0.40 in(sK4_skl,sK6_skl)|in(sK4_skl,sK6_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f71,f42])).
% 0.09/0.40 fof(f84,plain,(
% 0.09/0.40 ~subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f77,f85])).
% 0.09/0.40 fof(f85,plain,(
% 0.09/0.40 in(sK4_skl,sK6_skl)),
% 0.09/0.40 inference(duplicate_literals_removal,[status(thm)],[f83])).
% 0.09/0.40 fof(f86,plain,(
% 0.09/0.40 sK1_skl(sK6_skl,unordered_pair(sK4_skl,sK5_skl))=sK4_skl|sK1_skl(sK6_skl,unordered_pair(sK4_skl,sK5_skl))=sK5_skl),
% 0.09/0.40 inference(resolution,[status(thm)],[f62,f84])).
% 0.09/0.40 fof(f96,plain,(
% 0.09/0.40 subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)|~in(sK5_skl,sK6_skl)|sK1_skl(sK6_skl,unordered_pair(sK4_skl,sK5_skl))=sK4_skl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f86,f28])).
% 0.09/0.40 fof(f99,plain,(
% 0.09/0.40 ~in(sK5_skl,sK6_skl)|sK1_skl(sK6_skl,unordered_pair(sK4_skl,sK5_skl))=sK4_skl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f96,f84])).
% 0.09/0.40 fof(f100,plain,(
% 0.09/0.40 sK1_skl(sK6_skl,unordered_pair(sK4_skl,sK5_skl))=sK4_skl),
% 0.09/0.40 inference(resolution,[status(thm)],[f99,f78])).
% 0.09/0.40 fof(f128,plain,(
% 0.09/0.40 subset(unordered_pair(sK4_skl,sK5_skl),sK6_skl)|~in(sK4_skl,sK6_skl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f100,f28])).
% 0.09/0.40 fof(f131,plain,(
% 0.09/0.40 ~in(sK4_skl,sK6_skl)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f128,f84])).
% 0.09/0.40 fof(f132,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f85,f131])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.046675 seconds
% 0.09/0.41 % CPU time: 0.150256 seconds
% 0.09/0.41 % Total memory used: 76.737 MB
% 0.09/0.41 % Net memory used: 76.415 MB
%------------------------------------------------------------------------------