%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET618+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 : n007.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 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET618+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
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:27:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (! [B] : union(B,B) = B )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (! [B] : difference(B,B) = empty_set )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,conjecture,(
% 0.10/0.41 (! [B] : symmetric_difference(B,B) = empty_set )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f13,negated_conjecture,(
% 0.10/0.41 ~((! [B] : symmetric_difference(B,B) = empty_set ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f12])).
% 0.10/0.41 fof(f14,plain,(
% 0.10/0.41 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X0,X1),difference(X1,X0)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f15,plain,(
% 0.10/0.41 ![X0]: (union(X0,X0)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f16,plain,(
% 0.10/0.41 ![X0]: (difference(X0,X0)=empty_set)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f45,plain,(
% 0.10/0.41 (?[B]: ~symmetric_difference(B,B)=empty_set)),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.10/0.41 fof(f46,plain,(
% 0.10/0.41 ~symmetric_difference(sK3_skl,sK3_skl)=empty_set),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(B,sK3_skl)],[f45])).
% 0.10/0.41 fof(f47,plain,(
% 0.10/0.41 ~symmetric_difference(sK3_skl,sK3_skl)=empty_set),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f46])).
% 0.10/0.41 fof(f54,plain,(
% 0.10/0.41 ![X0]: (symmetric_difference(X0,X0)=union(empty_set,difference(X0,X0)))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f16,f14])).
% 0.10/0.41 fof(f56,plain,(
% 0.10/0.41 ![X0]: (symmetric_difference(X0,X0)=union(empty_set,empty_set))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f16,f54])).
% 0.10/0.41 fof(f57,plain,(
% 0.10/0.41 ~empty_set=empty_set),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f58,f47])).
% 0.10/0.41 fof(f58,plain,(
% 0.10/0.41 ![X0]: (symmetric_difference(X0,X0)=empty_set)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f15,f56])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f57])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.056068 seconds
% 0.10/0.44 % CPU time: 0.153887 seconds
% 0.10/0.44 % Total memory used: 101.477 MB
% 0.10/0.44 % Net memory used: 101.084 MB
%------------------------------------------------------------------------------