%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:21:40 PM UTC 2026
% Result : Theorem 0.16s 5.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.41 % Computer : n008.cluster.edu
% 0.16/5.41 % Model : x86_64 x86_64
% 0.16/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.41 % Memory : 8046.5625MB
% 0.16/5.41 % OS : Linux 6.8.0-71-generic
% 0.16/5.42 % CPULimit : 300
% 0.16/5.42 % WCLimit : 300
% 0.16/5.42 % DateTime : Mon Sep 21 05:51:18 UTC 2026
% 0.16/5.42 % CPUTime :
% 0.16/5.43 % Drodi V4.1.1
% 0.16/5.46 % Refutation found
% 0.16/5.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.46 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.46 fof(f13,axiom,(
% 0.16/5.46 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.16/5.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f14,axiom,(
% 0.16/5.46 (! [A,B] : symmetric_difference(A,B) = symmetric_difference(B,A) )),
% 0.16/5.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f15,axiom,(
% 0.16/5.46 (! [A,B] : symmetric_difference(A,B) = set_union2(set_difference(A,B),set_difference(B,A)) )),
% 0.16/5.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f17,axiom,(
% 0.16/5.46 (! [A,B] :( finite(A)=> finite(set_difference(A,B)) ) )),
% 0.16/5.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f28,axiom,(
% 0.16/5.46 (! [A,B] :( ( finite(A)& finite(B) )=> finite(set_union2(A,B)) ) )),
% 0.16/5.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f60,conjecture,(
% 0.16/5.46 (! [A,B] :( ( finite(A)& finite(B) )=> finite(symmetric_difference(A,B)) ) )),
% 0.16/5.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.46 fof(f61,negated_conjecture,(
% 0.16/5.46 ~((! [A,B] :( ( finite(A)& finite(B) )=> finite(symmetric_difference(A,B)) ) ))),
% 0.16/5.46 inference(negated_conjecture,[status(cth)],[f60])).
% 0.16/5.46 fof(f109,plain,(
% 0.16/5.46 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/5.46 fof(f110,plain,(
% 0.16/5.46 ![X0,X1]: (symmetric_difference(X0,X1)=symmetric_difference(X1,X0))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/5.46 fof(f111,plain,(
% 0.16/5.46 ![X0,X1]: (symmetric_difference(X0,X1)=set_union2(set_difference(X0,X1),set_difference(X1,X0)))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/5.46 fof(f114,plain,(
% 0.16/5.46 ![A,B]: (~finite(A)|finite(set_difference(A,B)))),
% 0.16/5.46 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.16/5.46 fof(f115,plain,(
% 0.16/5.46 ![A]: (~finite(A)|(![B]: finite(set_difference(A,B))))),
% 0.16/5.46 inference(miniscoping,[status(thm)],[f114])).
% 0.16/5.46 fof(f116,plain,(
% 0.16/5.46 ![X0,X1]: (~finite(X0)|finite(set_difference(X0,X1)))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f115])).
% 0.16/5.46 fof(f143,plain,(
% 0.16/5.46 ![A,B]: ((~finite(A)|~finite(B))|finite(set_union2(A,B)))),
% 0.16/5.46 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.16/5.46 fof(f144,plain,(
% 0.16/5.46 ![X0,X1]: (~finite(X0)|~finite(X1)|finite(set_union2(X0,X1)))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/5.46 fof(f269,plain,(
% 0.16/5.46 (?[A,B]: ((finite(A)&finite(B))&~finite(symmetric_difference(A,B))))),
% 0.16/5.46 inference(pre_NNF_transformation,[status(thm)],[f61])).
% 0.16/5.46 fof(f270,plain,(
% 0.16/5.46 ((finite(sK26_skl)&finite(sK27_skl))&~finite(symmetric_difference(sK26_skl,sK27_skl)))),
% 0.16/5.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl]),skolemize(A,sK26_skl),skolemize(B,sK27_skl)],[f269])).
% 0.16/5.46 fof(f271,plain,(
% 0.16/5.46 finite(sK26_skl)),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f270])).
% 0.16/5.46 fof(f272,plain,(
% 0.16/5.46 finite(sK27_skl)),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f270])).
% 0.16/5.46 fof(f273,plain,(
% 0.16/5.46 ~finite(symmetric_difference(sK26_skl,sK27_skl))),
% 0.16/5.46 inference(cnf_transformation,[status(thm)],[f270])).
% 0.16/5.46 fof(f303,plain,(
% 0.16/5.46 ~finite(symmetric_difference(sK27_skl,sK26_skl))),
% 0.16/5.46 inference(paramodulation,[status(thm)],[f110,f273])).
% 0.16/5.46 fof(f370,plain,(
% 0.16/5.46 ![X0,X1]: (symmetric_difference(X0,X1)=set_union2(set_difference(X1,X0),set_difference(X0,X1)))),
% 0.16/5.46 inference(paramodulation,[status(thm)],[f111,f109])).
% 0.16/5.46 fof(f419,plain,(
% 0.16/5.46 ![X0,X1]: (~finite(set_difference(X0,X1))|~finite(set_difference(X1,X0))|finite(symmetric_difference(X1,X0)))),
% 0.16/5.46 inference(paramodulation,[status(thm)],[f370,f144])).
% 0.16/5.46 fof(f423,plain,(
% 0.16/5.46 ![X0,X1]: (~finite(set_difference(X0,X1))|finite(symmetric_difference(X1,X0))|~finite(X1))),
% 0.16/5.46 inference(resolution,[status(thm)],[f419,f116])).
% 0.16/5.46 fof(f424,plain,(
% 0.16/5.46 ![X0,X1]: (finite(symmetric_difference(X0,X1))|~finite(X0)|~finite(X1))),
% 0.16/5.46 inference(resolution,[status(thm)],[f423,f116])).
% 0.16/5.46 fof(f425,plain,(
% 0.16/5.46 ~finite(sK27_skl)|~finite(sK26_skl)),
% 0.16/5.46 inference(resolution,[status(thm)],[f424,f303])).
% 0.16/5.46 fof(f432,plain,(
% 0.16/5.46 ~finite(sK26_skl)),
% 0.16/5.46 inference(forward_subsumption_resolution,[status(thm)],[f425,f272])).
% 0.16/5.46 fof(f433,plain,(
% 0.16/5.46 $false),
% 0.16/5.46 inference(backward_subsumption_resolution,[status(thm)],[f271,f432])).
% 0.16/5.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.49 % Elapsed time: 0.052920 seconds
% 0.16/5.49 % CPU time: 0.180219 seconds
% 0.16/5.49 % Total memory used: 103.221 MB
% 0.16/5.49 % Net memory used: 103.149 MB
%------------------------------------------------------------------------------