%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET877+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 : n010.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 02:12:48 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET877+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n010.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 05:42:55 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f2,axiom,(
% 0.16/0.47 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f3,axiom,(
% 0.16/0.47 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f5,axiom,(
% 0.16/0.47 (! [A,B] :( set_intersection2(A,singleton(B)) = singleton(B)=> in(B,A) ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f8,conjecture,(
% 0.16/0.47 (! [A,B] :( set_intersection2(singleton(A),singleton(B)) = singleton(A)=> A = B ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f9,negated_conjecture,(
% 0.16/0.47 ~((! [A,B] :( set_intersection2(singleton(A),singleton(B)) = singleton(A)=> A = B ) ))),
% 0.16/0.47 inference(negated_conjecture,[status(cth)],[f8])).
% 0.16/0.47 fof(f12,plain,(
% 0.16/0.47 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.47 fof(f13,plain,(
% 0.16/0.47 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f3])).
% 0.16/0.47 fof(f14,plain,(
% 0.16/0.47 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f13])).
% 0.16/0.47 fof(f15,plain,(
% 0.16/0.47 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sK0_skl(B,A),B)|~sK0_skl(B,A)=A)&(in(sK0_skl(B,A),B)|sK0_skl(B,A)=A))))),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f14])).
% 0.16/0.47 fof(f16,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.47 fof(f22,plain,(
% 0.16/0.47 ![A,B]: (~set_intersection2(A,singleton(B))=singleton(B)|in(B,A))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.16/0.47 fof(f23,plain,(
% 0.16/0.47 ![X0,X1]: (~set_intersection2(X0,singleton(X1))=singleton(X1)|in(X1,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/0.47 fof(f28,plain,(
% 0.16/0.47 (?[A,B]: (set_intersection2(singleton(A),singleton(B))=singleton(A)&~A=B))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.16/0.47 fof(f29,plain,(
% 0.16/0.47 (set_intersection2(singleton(sK3_skl),singleton(sK4_skl))=singleton(sK3_skl)&~sK3_skl=sK4_skl)),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f28])).
% 0.16/0.47 fof(f30,plain,(
% 0.16/0.47 set_intersection2(singleton(sK3_skl),singleton(sK4_skl))=singleton(sK3_skl)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f29])).
% 0.16/0.47 fof(f31,plain,(
% 0.16/0.47 ~sK3_skl=sK4_skl),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f29])).
% 0.16/0.47 fof(f32,plain,(
% 0.16/0.47 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.16/0.47 inference(destructive_equality_resolution,[status(thm)],[f16])).
% 0.16/0.47 fof(f34,plain,(
% 0.16/0.47 singleton(sK3_skl)=set_intersection2(singleton(sK4_skl),singleton(sK3_skl))),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f30,f12])).
% 0.16/0.47 fof(f43,plain,(
% 0.16/0.47 in(sK3_skl,singleton(sK4_skl))),
% 0.16/0.47 inference(resolution,[status(thm)],[f23,f34])).
% 0.16/0.47 fof(f78,plain,(
% 0.16/0.47 sK3_skl=sK4_skl),
% 0.16/0.47 inference(resolution,[status(thm)],[f32,f43])).
% 0.16/0.47 fof(f80,plain,(
% 0.16/0.47 $false),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f78,f31])).
% 0.16/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.51 % Elapsed time: 0.070745 seconds
% 0.16/0.51 % CPU time: 0.189478 seconds
% 0.16/0.51 % Total memory used: 95.020 MB
% 0.16/0.51 % Net memory used: 94.604 MB
%------------------------------------------------------------------------------