%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET920+1 : 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 : 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 02:12:51 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET920+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:44:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,axiom,(
% 0.13/0.40 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,conjecture,(
% 0.13/0.40 (! [A,B,C] :( set_intersection2(unordered_pair(A,B),C) = unordered_pair(A,B)=> in(A,C) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,negated_conjecture,(
% 0.13/0.40 ~((! [A,B,C] :( set_intersection2(unordered_pair(A,B),C) = unordered_pair(A,B)=> in(A,C) ) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f9])).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![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))))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 (![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))))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 (![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)))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B,A))],[f16])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f24,plain,(
% 0.13/0.40 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f25,plain,(
% 0.13/0.40 (![A,B,C]: (~C=set_intersection2(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_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 (![A,B,C]: (~C=set_intersection2(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_intersection2(A,B)|((~in(sK1_skl(C,B,A),C)|(~in(sK1_skl(C,B,A),A)|~in(sK1_skl(C,B,A),B)))&(in(sK1_skl(C,B,A),C)|(in(sK1_skl(C,B,A),A)&in(sK1_skl(C,B,A),B))))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f25])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 (?[A,B,C]: (set_intersection2(unordered_pair(A,B),C)=unordered_pair(A,B)&~in(A,C)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 ?[A,C]: ((?[B]: set_intersection2(unordered_pair(A,B),C)=unordered_pair(A,B))&~in(A,C))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f39])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 (set_intersection2(unordered_pair(sK4_skl,sK6_skl),sK5_skl)=unordered_pair(sK4_skl,sK6_skl)&~in(sK4_skl,sK5_skl))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK4_skl),skolemize(C,sK5_skl),skolemize(B,sK6_skl)],[f40])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 set_intersection2(unordered_pair(sK4_skl,sK6_skl),sK5_skl)=unordered_pair(sK4_skl,sK6_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 ~in(sK4_skl,sK5_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f19])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X2))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f28])).
% 0.13/0.41 fof(f82,plain,(
% 0.13/0.41 ![X0]: (~in(X0,unordered_pair(sK4_skl,sK6_skl))|in(X0,sK5_skl))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f42,f48])).
% 0.13/0.41 fof(f87,plain,(
% 0.13/0.41 in(sK4_skl,sK5_skl)),
% 0.13/0.41 inference(resolution,[status(thm)],[f82,f45])).
% 0.13/0.41 fof(f90,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f87,f43])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.060302 seconds
% 0.13/0.44 % CPU time: 0.161088 seconds
% 0.13/0.44 % Total memory used: 101.681 MB
% 0.13/0.44 % Net memory used: 101.352 MB
%------------------------------------------------------------------------------