%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET621+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 : n004.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 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET621+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
% 0.09/0.35 % Computer : n004.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 05:29:35 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,axiom,(
% 0.12/0.41 (! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f2,axiom,(
% 0.12/0.41 (! [B,C,D] : difference(difference(B,C),D) = difference(B,union(C,D)) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 (! [B,C,D] : difference(union(B,C),D) = union(difference(B,D),difference(C,D)) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f12,conjecture,(
% 0.12/0.41 (! [B,C,D] : difference(symmetric_difference(B,C),D) = union(difference(B,union(C,D)),difference(C,union(B,D))) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f13,negated_conjecture,(
% 0.12/0.41 ~((! [B,C,D] : difference(symmetric_difference(B,C),D) = union(difference(B,union(C,D)),difference(C,union(B,D))) ))),
% 0.12/0.41 inference(negated_conjecture,[status(cth)],[f12])).
% 0.12/0.41 fof(f14,plain,(
% 0.12/0.41 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X0,X1),difference(X1,X0)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.41 fof(f15,plain,(
% 0.12/0.41 ![X0,X1,X2]: (difference(difference(X0,X1),X2)=difference(X0,union(X1,X2)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f16,plain,(
% 0.12/0.41 ![X0,X1,X2]: (difference(union(X0,X1),X2)=union(difference(X0,X2),difference(X1,X2)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.41 fof(f49,plain,(
% 0.12/0.41 (?[B,C,D]: ~difference(symmetric_difference(B,C),D)=union(difference(B,union(C,D)),difference(C,union(B,D))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.41 fof(f50,plain,(
% 0.12/0.41 ~difference(symmetric_difference(sK2_skl,sK3_skl),sK4_skl)=union(difference(sK2_skl,union(sK3_skl,sK4_skl)),difference(sK3_skl,union(sK2_skl,sK4_skl)))),
% 0.12/0.41 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)],[f49])).
% 0.12/0.41 fof(f51,plain,(
% 0.12/0.41 ~difference(symmetric_difference(sK2_skl,sK3_skl),sK4_skl)=union(difference(sK2_skl,union(sK3_skl,sK4_skl)),difference(sK3_skl,union(sK2_skl,sK4_skl)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f50])).
% 0.12/0.41 fof(f60,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (difference(union(difference(X0,X1),X2),X3)=union(difference(X0,union(X1,X3)),difference(X2,X3)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.12/0.41 fof(f102,plain,(
% 0.12/0.41 ![X0,X1,X2,X3,X4]: (difference(union(difference(X0,X1),difference(X2,X3)),X4)=union(difference(X0,union(X1,X4)),difference(X2,union(X3,X4))))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f15,f60])).
% 0.12/0.41 fof(f110,plain,(
% 0.12/0.41 ~difference(symmetric_difference(sK2_skl,sK3_skl),sK4_skl)=difference(union(difference(sK2_skl,sK3_skl),difference(sK3_skl,sK2_skl)),sK4_skl)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f102,f51])).
% 0.12/0.41 fof(f111,plain,(
% 0.12/0.41 ~difference(symmetric_difference(sK2_skl,sK3_skl),sK4_skl)=difference(symmetric_difference(sK2_skl,sK3_skl),sK4_skl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f14,f110])).
% 0.12/0.41 fof(f112,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f111])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.059106 seconds
% 0.12/0.42 % CPU time: 0.226579 seconds
% 0.12/0.42 % Total memory used: 97.333 MB
% 0.12/0.42 % Net memory used: 96.949 MB
%------------------------------------------------------------------------------