%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET622+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:12:20 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET622+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n019.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 05:30:21 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [B,C,D] : intersection(intersection(B,C),D) = intersection(B,intersection(C,D)) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (! [B,C,D] : difference(B,difference(C,D)) = union(difference(B,C),intersection(B,D)) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (! [B,C] : symmetric_difference(B,C) = difference(union(B,C),intersection(B,C)) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,conjecture,(
% 0.13/0.38 (! [B,C,D] : difference(B,symmetric_difference(C,D)) = union(difference(B,union(C,D)),intersection(intersection(B,C),D)) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,negated_conjecture,(
% 0.13/0.38 ~((! [B,C,D] : difference(B,symmetric_difference(C,D)) = union(difference(B,union(C,D)),intersection(intersection(B,C),D)) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f15])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1,X2]: (intersection(intersection(X0,X1),X2)=intersection(X0,intersection(X1,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0,X1,X2]: (difference(X0,difference(X1,X2))=union(difference(X0,X1),intersection(X0,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0,X1]: (symmetric_difference(X0,X1)=difference(union(X0,X1),intersection(X0,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f59,plain,(
% 0.13/0.38 (?[B,C,D]: ~difference(B,symmetric_difference(C,D))=union(difference(B,union(C,D)),intersection(intersection(B,C),D)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f60,plain,(
% 0.13/0.38 ~difference(sK2_skl,symmetric_difference(sK3_skl,sK4_skl))=union(difference(sK2_skl,union(sK3_skl,sK4_skl)),intersection(intersection(sK2_skl,sK3_skl),sK4_skl))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl)],[f59])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.38 ~difference(sK2_skl,symmetric_difference(sK3_skl,sK4_skl))=union(difference(sK2_skl,union(sK3_skl,sK4_skl)),intersection(intersection(sK2_skl,sK3_skl),sK4_skl))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 ~difference(sK2_skl,symmetric_difference(sK3_skl,sK4_skl))=union(difference(sK2_skl,union(sK3_skl,sK4_skl)),intersection(sK2_skl,intersection(sK3_skl,sK4_skl)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f61])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 ~difference(sK2_skl,symmetric_difference(sK3_skl,sK4_skl))=difference(sK2_skl,difference(union(sK3_skl,sK4_skl),intersection(sK3_skl,sK4_skl)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f18,f64])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 ~difference(sK2_skl,symmetric_difference(sK3_skl,sK4_skl))=difference(sK2_skl,symmetric_difference(sK3_skl,sK4_skl))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f19,f65])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f66])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.045191 seconds
% 0.13/0.40 % CPU time: 0.131765 seconds
% 0.13/0.40 % Total memory used: 85.822 MB
% 0.13/0.40 % Net memory used: 85.587 MB
%------------------------------------------------------------------------------