%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU122+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:21:43 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU122+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.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 05:50:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,axiom,(
% 0.14/0.40 (? [A] : empty(A) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,conjecture,(
% 0.14/0.40 (! [A] : subset(empty_set,A) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 ~((! [A] : subset(empty_set,A) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f8])).
% 0.14/0.40 fof(f10,axiom,(
% 0.14/0.40 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,axiom,(
% 0.14/0.40 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f15])).
% 0.14/0.41 fof(f17,plain,(
% 0.14/0.41 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f16])).
% 0.14/0.41 fof(f18,plain,(
% 0.14/0.41 (![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))))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f17])).
% 0.14/0.41 fof(f20,plain,(
% 0.14/0.41 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.41 fof(f23,plain,(
% 0.14/0.41 empty(sK1_skl)),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(A,sK1_skl)],[f5])).
% 0.14/0.41 fof(f24,plain,(
% 0.14/0.41 empty(sK1_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.41 fof(f29,plain,(
% 0.14/0.41 (?[A]: ~subset(empty_set,A))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.14/0.41 fof(f30,plain,(
% 0.14/0.41 ~subset(empty_set,sK3_skl)),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f29])).
% 0.14/0.41 fof(f31,plain,(
% 0.14/0.41 ~subset(empty_set,sK3_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.41 fof(f32,plain,(
% 0.14/0.41 ![A]: (~empty(A)|A=empty_set)),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.14/0.41 fof(f33,plain,(
% 0.14/0.41 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.41 fof(f34,plain,(
% 0.14/0.41 ![A,B]: (~in(A,B)|~empty(B))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.14/0.41 fof(f35,plain,(
% 0.14/0.41 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.41 fof(f36,plain,(
% 0.14/0.41 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.41 fof(f45,plain,(
% 0.14/0.41 sK1_skl=empty_set),
% 0.14/0.41 inference(resolution,[status(thm)],[f24,f33])).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 ~subset(sK1_skl,sK3_skl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f45,f31])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 ![X0,X1]: (~empty(X0)|subset(X0,X1))),
% 0.14/0.41 inference(resolution,[status(thm)],[f36,f20])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 ![X0]: (subset(sK1_skl,X0))),
% 0.14/0.41 inference(resolution,[status(thm)],[f50,f24])).
% 0.14/0.41 fof(f54,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(backward_subsumption_resolution,[status(thm)],[f48,f52])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.061588 seconds
% 0.14/0.43 % CPU time: 0.146957 seconds
% 0.14/0.43 % Total memory used: 79.864 MB
% 0.14/0.43 % Net memory used: 79.407 MB
%------------------------------------------------------------------------------