%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU124+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 : n012.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 0.07s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU124+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 05:51:21 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.07/0.35 % Refutation found
% 0.07/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.35 fof(f2,axiom,(
% 0.07/0.35 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f3,axiom,(
% 0.07/0.35 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f4,axiom,(
% 0.07/0.35 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f14,axiom,(
% 0.07/0.35 (! [A] : set_union2(A,empty_set) = A )),
% 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f17,conjecture,(
% 0.07/0.35 (! [A,B] : subset(A,set_union2(A,B)) )),
% 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.35 fof(f18,negated_conjecture,(
% 0.07/0.35 ~((! [A,B] : subset(A,set_union2(A,B)) ))),
% 0.07/0.35 inference(negated_conjecture,[status(cth)],[f17])).
% 0.07/0.35 fof(f22,plain,(
% 0.07/0.35 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.35 fof(f23,plain,(
% 0.07/0.35 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.07/0.35 inference(NNF_transformation,[status(thm)],[f3])).
% 0.07/0.35 fof(f24,plain,(
% 0.07/0.35 (![A,B,C]: (~C=set_union2(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_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.07/0.35 inference(miniscoping,[status(thm)],[f23])).
% 0.07/0.35 fof(f25,plain,(
% 0.07/0.35 (![A,B,C]: (~C=set_union2(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_union2(A,B)|((~in(sK0_skl(C,B,A),C)|(~in(sK0_skl(C,B,A),A)&~in(sK0_skl(C,B,A),B)))&(in(sK0_skl(C,B,A),C)|(in(sK0_skl(C,B,A),A)|in(sK0_skl(C,B,A),B))))))),
% 0.07/0.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B,A))],[f24])).
% 0.07/0.35 fof(f28,plain,(
% 0.07/0.35 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|in(X3,X0)|~in(X3,X2))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f25])).
% 0.07/0.35 fof(f32,plain,(
% 0.07/0.35 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.07/0.35 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.07/0.35 fof(f33,plain,(
% 0.07/0.35 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.07/0.35 inference(NNF_transformation,[status(thm)],[f32])).
% 0.07/0.35 fof(f34,plain,(
% 0.07/0.35 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.07/0.35 inference(miniscoping,[status(thm)],[f33])).
% 0.07/0.35 fof(f35,plain,(
% 0.07/0.35 (![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))))),
% 0.07/0.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f34])).
% 0.07/0.35 fof(f37,plain,(
% 0.07/0.35 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f35])).
% 0.07/0.35 fof(f38,plain,(
% 0.07/0.35 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f35])).
% 0.07/0.35 fof(f54,plain,(
% 0.07/0.35 ![X0]: (set_union2(X0,empty_set)=X0)),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f14])).
% 0.07/0.35 fof(f60,plain,(
% 0.07/0.35 (?[A,B]: ~subset(A,set_union2(A,B)))),
% 0.07/0.35 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.07/0.35 fof(f61,plain,(
% 0.07/0.35 ~subset(sK4_skl,set_union2(sK4_skl,sK5_skl))),
% 0.07/0.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl)],[f60])).
% 0.07/0.35 fof(f62,plain,(
% 0.07/0.35 ~subset(sK4_skl,set_union2(sK4_skl,sK5_skl))),
% 0.07/0.35 inference(cnf_transformation,[status(thm)],[f61])).
% 0.07/0.35 fof(f72,plain,(
% 0.07/0.35 ![X0]: (set_union2(empty_set,X0)=X0)),
% 0.07/0.35 inference(paramodulation,[status(thm)],[f22,f54])).
% 0.07/0.35 fof(f123,plain,(
% 0.07/0.35 ![X0,X1,X2,X3]: (subset(X0,X1)|~X2=set_union2(X3,X0)|in(sK1_skl(X1,X0),X2))),
% 0.07/0.35 inference(resolution,[status(thm)],[f37,f28])).
% 0.07/0.35 fof(f129,plain,(
% 0.07/0.35 ![X0,X1,X2]: (subset(X0,X1)|in(sK1_skl(X1,X0),set_union2(empty_set,set_union2(X2,X0))))),
% 0.07/0.35 inference(resolution,[status(thm)],[f123,f72])).
% 0.07/0.35 fof(f143,plain,(
% 0.07/0.35 ![X0,X1,X2]: (subset(X0,X1)|in(sK1_skl(X1,X0),set_union2(X2,X0)))),
% 0.07/0.36 inference(forward_demodulation,[status(thm)],[f72,f129])).
% 0.07/0.36 fof(f419,plain,(
% 0.07/0.36 ![X0,X1]: (subset(X0,set_union2(X1,X0))|subset(X0,set_union2(X1,X0)))),
% 0.07/0.36 inference(resolution,[status(thm)],[f143,f38])).
% 0.07/0.36 fof(f430,plain,(
% 0.07/0.36 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 0.07/0.36 inference(duplicate_literals_removal,[status(thm)],[f419])).
% 0.07/0.36 fof(f435,plain,(
% 0.07/0.36 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 0.07/0.36 inference(paramodulation,[status(thm)],[f22,f430])).
% 0.07/0.36 fof(f494,plain,(
% 0.07/0.36 $false),
% 0.07/0.36 inference(backward_subsumption_resolution,[status(thm)],[f62,f435])).
% 0.07/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.36 % Elapsed time: 0.064564 seconds
% 0.07/0.36 % CPU time: 0.325029 seconds
% 0.07/0.36 % Total memory used: 107.507 MB
% 0.07/0.36 % Net memory used: 106.306 MB
%------------------------------------------------------------------------------