%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET619+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 : n001.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 02:12:19 PM UTC 2026
% Result : Theorem 0.13s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET619+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
% 0.09/0.35 % Computer : n001.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 05:35:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.50 % Refutation found
% 0.13/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.50 fof(f1,axiom,(
% 0.13/0.50 (! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) )),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f2,axiom,(
% 0.13/0.50 (! [B,C,D] : union(union(B,C),D) = union(B,union(C,D)) )),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f3,axiom,(
% 0.13/0.50 (! [B,C] : union(B,intersection(B,C)) = B )),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f4,axiom,(
% 0.13/0.50 (! [B,C] : union(intersection(B,C),difference(B,C)) = B )),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f8,axiom,(
% 0.13/0.50 (! [B,C] : union(B,C) = union(C,B) )),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f9,axiom,(
% 0.13/0.50 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f14,conjecture,(
% 0.13/0.50 (! [B,C] : union(B,C) = union(symmetric_difference(B,C),intersection(B,C)) )),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f15,negated_conjecture,(
% 0.13/0.50 ~((! [B,C] : union(B,C) = union(symmetric_difference(B,C),intersection(B,C)) ))),
% 0.13/0.50 inference(negated_conjecture,[status(cth)],[f14])).
% 0.13/0.50 fof(f16,plain,(
% 0.13/0.50 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X0,X1),difference(X1,X0)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.50 fof(f17,plain,(
% 0.13/0.50 ![X0,X1,X2]: (union(union(X0,X1),X2)=union(X0,union(X1,X2)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.50 fof(f18,plain,(
% 0.13/0.50 ![X0,X1]: (union(X0,intersection(X0,X1))=X0)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.50 fof(f19,plain,(
% 0.13/0.50 ![X0,X1]: (union(intersection(X0,X1),difference(X0,X1))=X0)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.50 fof(f35,plain,(
% 0.13/0.50 ![X0,X1]: (union(X0,X1)=union(X1,X0))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.50 fof(f36,plain,(
% 0.13/0.50 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.50 fof(f53,plain,(
% 0.13/0.50 (?[B,C]: ~union(B,C)=union(symmetric_difference(B,C),intersection(B,C)))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.50 fof(f54,plain,(
% 0.13/0.50 ~union(sK2_skl,sK3_skl)=union(symmetric_difference(sK2_skl,sK3_skl),intersection(sK2_skl,sK3_skl))),
% 0.13/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f53])).
% 0.13/0.50 fof(f55,plain,(
% 0.13/0.50 ~union(sK2_skl,sK3_skl)=union(symmetric_difference(sK2_skl,sK3_skl),intersection(sK2_skl,sK3_skl))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f54])).
% 0.13/0.50 fof(f64,plain,(
% 0.13/0.50 ![X0,X1,X2]: (union(X0,union(X1,X2))=union(X2,union(X0,X1)))),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f17,f35])).
% 0.13/0.50 fof(f78,plain,(
% 0.13/0.50 ![X0,X1]: (union(X0,intersection(X1,X0))=X0)),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f36,f18])).
% 0.13/0.50 fof(f97,plain,(
% 0.13/0.50 ![X0,X1]: (union(difference(X0,X1),intersection(X0,X1))=X0)),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f35,f19])).
% 0.13/0.50 fof(f104,plain,(
% 0.13/0.50 ![X0,X1,X2]: (union(X0,X1)=union(intersection(X0,X2),union(difference(X0,X2),X1)))),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f19,f17])).
% 0.13/0.50 fof(f114,plain,(
% 0.13/0.50 ![X0,X1,X2]: (union(symmetric_difference(X0,X1),X2)=union(difference(X0,X1),union(difference(X1,X0),X2)))),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f16,f17])).
% 0.13/0.50 fof(f115,plain,(
% 0.13/0.50 ![X0,X1]: (union(difference(X0,X1),intersection(X1,X0))=X0)),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f36,f97])).
% 0.13/0.50 fof(f256,plain,(
% 0.13/0.50 ![X0,X1,X2]: (union(X0,X1)=union(intersection(X2,X1),union(X0,X1)))),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f78,f64])).
% 0.13/0.50 fof(f1167,plain,(
% 0.13/0.50 ![X0,X1]: (union(difference(X0,X1),X1)=union(X0,X1))),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f104,f256])).
% 0.13/0.50 fof(f1294,plain,(
% 0.13/0.50 ![X0,X1]: (union(symmetric_difference(X0,X1),intersection(X0,X1))=union(difference(X0,X1),X1))),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f115,f114])).
% 0.13/0.50 fof(f1338,plain,(
% 0.13/0.50 ~union(sK2_skl,sK3_skl)=union(sK2_skl,sK3_skl)),
% 0.13/0.50 inference(backward_demodulation,[status(thm)],[f1339,f55])).
% 0.13/0.50 fof(f1339,plain,(
% 0.13/0.50 ![X0,X1]: (union(symmetric_difference(X0,X1),intersection(X0,X1))=union(X0,X1))),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f1167,f1294])).
% 0.13/0.50 fof(f1381,plain,(
% 0.13/0.50 $false),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1338])).
% 0.13/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.58/0.52 % Elapsed time: 0.148922 seconds
% 0.58/0.52 % CPU time: 0.917500 seconds
% 0.58/0.52 % Total memory used: 114.414 MB
% 0.58/0.52 % Net memory used: 113.108 MB
%------------------------------------------------------------------------------