%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET633+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 : n014.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 02:12:22 PM UTC 2026
% Result : Theorem 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET633+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
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:30:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,axiom,(
% 0.11/0.41 (! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f2,axiom,(
% 0.11/0.41 (! [B,C,D] :( ( subset(B,C)& subset(D,C) )=> subset(union(B,D),C) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f5,axiom,(
% 0.11/0.41 (! [B,C] : union(B,C) = union(C,B) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f6,axiom,(
% 0.11/0.41 (! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,conjecture,(
% 0.11/0.41 (! [B,C,D] :( ( subset(difference(B,C),D)& subset(difference(C,B),D) )=> subset(symmetric_difference(B,C),D) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f10,negated_conjecture,(
% 0.11/0.41 ~((! [B,C,D] :( ( subset(difference(B,C),D)& subset(difference(C,B),D) )=> subset(symmetric_difference(B,C),D) ) ))),
% 0.11/0.41 inference(negated_conjecture,[status(cth)],[f9])).
% 0.11/0.41 fof(f11,plain,(
% 0.11/0.41 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X0,X1),difference(X1,X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.41 fof(f12,plain,(
% 0.11/0.41 ![B,C,D]: ((~subset(B,C)|~subset(D,C))|subset(union(B,D),C))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.41 fof(f13,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X2,X1)|subset(union(X0,X2),X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.41 fof(f26,plain,(
% 0.11/0.41 ![X0,X1]: (union(X0,X1)=union(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.41 fof(f27,plain,(
% 0.11/0.41 ![X0,X1]: (symmetric_difference(X0,X1)=symmetric_difference(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.41 fof(f36,plain,(
% 0.11/0.41 (?[B,C,D]: ((subset(difference(B,C),D)&subset(difference(C,B),D))&~subset(symmetric_difference(B,C),D)))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.11/0.41 fof(f37,plain,(
% 0.11/0.41 ((subset(difference(sK2_skl,sK3_skl),sK4_skl)&subset(difference(sK3_skl,sK2_skl),sK4_skl))&~subset(symmetric_difference(sK2_skl,sK3_skl),sK4_skl))),
% 0.11/0.41 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)],[f36])).
% 0.11/0.41 fof(f38,plain,(
% 0.11/0.41 subset(difference(sK2_skl,sK3_skl),sK4_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.11/0.41 fof(f39,plain,(
% 0.11/0.41 subset(difference(sK3_skl,sK2_skl),sK4_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.11/0.41 fof(f40,plain,(
% 0.11/0.41 ~subset(symmetric_difference(sK2_skl,sK3_skl),sK4_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.11/0.41 fof(f45,plain,(
% 0.11/0.41 ~subset(symmetric_difference(sK3_skl,sK2_skl),sK4_skl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f27,f40])).
% 0.11/0.41 fof(f47,plain,(
% 0.11/0.41 ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X1,X0),difference(X0,X1)))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f11,f26])).
% 0.11/0.41 fof(f61,plain,(
% 0.11/0.41 ![X0]: (~subset(X0,sK4_skl)|subset(union(X0,difference(sK3_skl,sK2_skl)),sK4_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f13,f39])).
% 0.11/0.41 fof(f65,plain,(
% 0.11/0.41 subset(union(difference(sK2_skl,sK3_skl),difference(sK3_skl,sK2_skl)),sK4_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f61,f38])).
% 0.11/0.41 fof(f67,plain,(
% 0.11/0.41 subset(symmetric_difference(sK3_skl,sK2_skl),sK4_skl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f47,f65])).
% 0.11/0.41 fof(f68,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f67,f45])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.058944 seconds
% 0.11/0.43 % CPU time: 0.169156 seconds
% 0.11/0.43 % Total memory used: 101.776 MB
% 0.11/0.43 % Net memory used: 101.368 MB
%------------------------------------------------------------------------------