%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET912+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 02:12:51 PM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET912+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
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:43:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f8,axiom,(
% 0.12/0.40 (! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,axiom,(
% 0.12/0.40 (! [A,B,C] :( subset(unordered_pair(A,B),C)<=> ( in(A,C)& in(B,C) ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f10,conjecture,(
% 0.12/0.40 (! [A,B,C] :( ( in(A,B)& in(C,B) )=> set_intersection2(unordered_pair(A,C),B) = unordered_pair(A,C) ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,negated_conjecture,(
% 0.12/0.40 ~((! [A,B,C] :( ( in(A,B)& in(C,B) )=> set_intersection2(unordered_pair(A,C),B) = unordered_pair(A,C) ) ))),
% 0.12/0.40 inference(negated_conjecture,[status(cth)],[f10])).
% 0.12/0.40 fof(f24,plain,(
% 0.12/0.40 ![A,B]: (~subset(A,B)|set_intersection2(A,B)=A)),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f25,plain,(
% 0.12/0.40 ![X0,X1]: (~subset(X0,X1)|set_intersection2(X0,X1)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.40 fof(f26,plain,(
% 0.12/0.40 ![A,B,C]: ((~subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C)))&(subset(unordered_pair(A,B),C)|(~in(A,C)|~in(B,C))))),
% 0.12/0.40 inference(NNF_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f27,plain,(
% 0.12/0.40 (![A,B,C]: (~subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C))))&(![A,B,C]: (subset(unordered_pair(A,B),C)|(~in(A,C)|~in(B,C))))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f26])).
% 0.12/0.40 fof(f30,plain,(
% 0.12/0.40 ![X0,X1,X2]: (subset(unordered_pair(X0,X1),X2)|~in(X0,X2)|~in(X1,X2))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.40 fof(f31,plain,(
% 0.12/0.40 (?[A,B,C]: ((in(A,B)&in(C,B))&~set_intersection2(unordered_pair(A,C),B)=unordered_pair(A,C)))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f32,plain,(
% 0.12/0.40 ((in(sK2_skl,sK3_skl)&in(sK4_skl,sK3_skl))&~set_intersection2(unordered_pair(sK2_skl,sK4_skl),sK3_skl)=unordered_pair(sK2_skl,sK4_skl))),
% 0.12/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f31])).
% 0.12/0.40 fof(f33,plain,(
% 0.12/0.40 in(sK2_skl,sK3_skl)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.40 fof(f34,plain,(
% 0.12/0.40 in(sK4_skl,sK3_skl)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.40 fof(f35,plain,(
% 0.12/0.40 ~set_intersection2(unordered_pair(sK2_skl,sK4_skl),sK3_skl)=unordered_pair(sK2_skl,sK4_skl)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.40 fof(f65,plain,(
% 0.12/0.40 ![X0]: (subset(unordered_pair(X0,sK4_skl),sK3_skl)|~in(X0,sK3_skl))),
% 0.12/0.40 inference(resolution,[status(thm)],[f30,f34])).
% 0.12/0.40 fof(f70,plain,(
% 0.12/0.40 subset(unordered_pair(sK2_skl,sK4_skl),sK3_skl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f65,f33])).
% 0.12/0.40 fof(f76,plain,(
% 0.12/0.40 set_intersection2(unordered_pair(sK2_skl,sK4_skl),sK3_skl)=unordered_pair(sK2_skl,sK4_skl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f70,f25])).
% 0.12/0.40 fof(f77,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f76,f35])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.066971 seconds
% 0.12/0.43 % CPU time: 0.192550 seconds
% 0.12/0.43 % Total memory used: 66.529 MB
% 0.12/0.43 % Net memory used: 66.081 MB
%------------------------------------------------------------------------------