%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET639+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 02:12:22 PM UTC 2026
% Result : Theorem 0.13s 10.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET639+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n006.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Mon Sep 21 05:30:53 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.39 % Drodi V4.1.1
% 0.13/10.41 % Refutation found
% 0.13/10.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/10.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/10.41 fof(f1,axiom,(
% 0.13/10.41 (! [B,C] :( subset(B,C)=> intersection(B,C) = B ) )),
% 0.13/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.41 fof(f6,axiom,(
% 0.13/10.41 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.13/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.41 fof(f10,conjecture,(
% 0.13/10.41 (! [B,C] :( ( subset(B,C)& intersection(C,B) = empty_set )=> B = empty_set ) )),
% 0.13/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.41 fof(f11,negated_conjecture,(
% 0.13/10.41 ~((! [B,C] :( ( subset(B,C)& intersection(C,B) = empty_set )=> B = empty_set ) ))),
% 0.13/10.41 inference(negated_conjecture,[status(cth)],[f10])).
% 0.13/10.41 fof(f12,plain,(
% 0.13/10.41 ![B,C]: (~subset(B,C)|intersection(B,C)=B)),
% 0.13/10.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/10.41 fof(f13,plain,(
% 0.13/10.41 ![X0,X1]: (~subset(X0,X1)|intersection(X0,X1)=X0)),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/10.41 fof(f32,plain,(
% 0.13/10.41 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/10.41 fof(f46,plain,(
% 0.13/10.41 (?[B,C]: ((subset(B,C)&intersection(C,B)=empty_set)&~B=empty_set))),
% 0.13/10.41 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.13/10.41 fof(f47,plain,(
% 0.13/10.41 ?[B]: ((?[C]: (subset(B,C)&intersection(C,B)=empty_set))&~B=empty_set)),
% 0.13/10.41 inference(miniscoping,[status(thm)],[f46])).
% 0.13/10.41 fof(f48,plain,(
% 0.13/10.41 ((subset(sK3_skl,sK4_skl)&intersection(sK4_skl,sK3_skl)=empty_set)&~sK3_skl=empty_set)),
% 0.13/10.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f47])).
% 0.13/10.41 fof(f49,plain,(
% 0.13/10.41 subset(sK3_skl,sK4_skl)),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/10.41 fof(f50,plain,(
% 0.13/10.41 intersection(sK4_skl,sK3_skl)=empty_set),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/10.41 fof(f51,plain,(
% 0.13/10.41 ~sK3_skl=empty_set),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/10.41 fof(f54,plain,(
% 0.13/10.41 intersection(sK3_skl,sK4_skl)=sK3_skl),
% 0.13/10.41 inference(resolution,[status(thm)],[f13,f49])).
% 0.13/10.41 fof(f60,plain,(
% 0.13/10.41 intersection(sK4_skl,sK3_skl)=sK3_skl),
% 0.13/10.41 inference(paramodulation,[status(thm)],[f32,f54])).
% 0.13/10.41 fof(f64,plain,(
% 0.13/10.41 sK3_skl=empty_set),
% 0.13/10.41 inference(backward_demodulation,[status(thm)],[f60,f50])).
% 0.13/10.41 fof(f65,plain,(
% 0.13/10.41 $false),
% 0.13/10.41 inference(forward_subsumption_resolution,[status(thm)],[f64,f51])).
% 0.13/10.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.44 % Elapsed time: 0.050522 seconds
% 0.13/10.44 % CPU time: 0.151146 seconds
% 0.13/10.44 % Total memory used: 101.540 MB
% 0.13/10.44 % Net memory used: 101.130 MB
%------------------------------------------------------------------------------