%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET620+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 : n018.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 0.16s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET620+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 05:31:44 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49 fof(f1,axiom,(
% 0.16/0.49 (! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f2,axiom,(
% 0.16/0.49 (! [B,C] : difference(B,intersection(B,C)) = difference(B,C) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f3,axiom,(
% 0.16/0.49 (! [B,C,D] : difference(union(B,C),D) = union(difference(B,D),difference(C,D)) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f8,axiom,(
% 0.16/0.49 (! [B,C] : union(B,C) = union(C,B) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f9,axiom,(
% 0.16/0.49 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f14,conjecture,(
% 0.16/0.49 (! [B,C] : symmetric_difference(B,C) = difference(union(B,C),intersection(B,C)) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f15,negated_conjecture,(
% 0.16/0.49 ~((! [B,C] : symmetric_difference(B,C) = difference(union(B,C),intersection(B,C)) ))),
% 0.16/0.49 inference(negated_conjecture,[status(cth)],[f14])).
% 0.16/0.49 fof(f16,plain,(
% 0.16/0.49 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X0,X1),difference(X1,X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.49 fof(f17,plain,(
% 0.16/0.49 ![X0,X1]: (difference(X0,intersection(X0,X1))=difference(X0,X1))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.49 fof(f18,plain,(
% 0.16/0.49 ![X0,X1,X2]: (difference(union(X0,X1),X2)=union(difference(X0,X2),difference(X1,X2)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.49 fof(f39,plain,(
% 0.16/0.49 ![X0,X1]: (union(X0,X1)=union(X1,X0))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.49 fof(f40,plain,(
% 0.16/0.49 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.49 fof(f57,plain,(
% 0.16/0.49 (?[B,C]: ~symmetric_difference(B,C)=difference(union(B,C),intersection(B,C)))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.16/0.49 fof(f58,plain,(
% 0.16/0.49 ~symmetric_difference(sK2_skl,sK3_skl)=difference(union(sK2_skl,sK3_skl),intersection(sK2_skl,sK3_skl))),
% 0.16/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f57])).
% 0.16/0.49 fof(f59,plain,(
% 0.16/0.49 ~symmetric_difference(sK2_skl,sK3_skl)=difference(union(sK2_skl,sK3_skl),intersection(sK2_skl,sK3_skl))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f58])).
% 0.16/0.49 fof(f66,plain,(
% 0.16/0.49 ~symmetric_difference(sK2_skl,sK3_skl)=difference(union(sK3_skl,sK2_skl),intersection(sK2_skl,sK3_skl))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f39,f59])).
% 0.16/0.49 fof(f72,plain,(
% 0.16/0.49 ~symmetric_difference(sK2_skl,sK3_skl)=difference(union(sK3_skl,sK2_skl),intersection(sK3_skl,sK2_skl))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f40,f66])).
% 0.16/0.49 fof(f82,plain,(
% 0.16/0.49 ![X0,X1]: (difference(X0,intersection(X1,X0))=difference(X0,X1))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f40,f17])).
% 0.16/0.49 fof(f89,plain,(
% 0.16/0.49 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X1,X0),difference(X0,X1)))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f39,f16])).
% 0.16/0.49 fof(f98,plain,(
% 0.16/0.49 ![X0,X1,X2]: (difference(union(X0,X1),intersection(X0,X2))=union(difference(X0,X2),difference(X1,intersection(X0,X2))))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f17,f18])).
% 0.16/0.49 fof(f336,plain,(
% 0.16/0.49 ![X0,X1]: (difference(union(X0,X1),intersection(X0,X1))=union(difference(X0,X1),difference(X1,X0)))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f82,f98])).
% 0.16/0.49 fof(f352,plain,(
% 0.16/0.49 ~symmetric_difference(sK2_skl,sK3_skl)=symmetric_difference(sK2_skl,sK3_skl)),
% 0.16/0.49 inference(backward_demodulation,[status(thm)],[f354,f72])).
% 0.16/0.49 fof(f354,plain,(
% 0.16/0.49 ![X0,X1]: (difference(union(X0,X1),intersection(X0,X1))=symmetric_difference(X1,X0))),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f89,f336])).
% 0.16/0.49 fof(f360,plain,(
% 0.16/0.49 $false),
% 0.16/0.49 inference(trivial_equality_resolution,[status(thm)],[f352])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.53 % Elapsed time: 0.134086 seconds
% 0.16/0.53 % CPU time: 0.404058 seconds
% 0.16/0.53 % Total memory used: 57.556 MB
% 0.16/0.53 % Net memory used: 57.208 MB
%------------------------------------------------------------------------------