%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% 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 02:12:36 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 05:38:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![U,V]: (( ~ member(U,union(V))| member(U,unionE_sk1(U,V)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![U,V]: (( ~ member(U,union(V))| member(unionE_sk1(U,V),V) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (![U,V,W]: (( ~ member(U,cons(V,W))| U = V| member(U,W) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,axiom,(
% 0.12/0.39 (![C,A,B]: (( ~ member(C,A)| member(C,un(A,B)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,axiom,(
% 0.12/0.39 (![C,B,A]: (( ~ member(C,B)| member(C,un(A,B)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,axiom,(
% 0.12/0.39 (![X]: (~ member(X,eptset) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,negated_conjecture,(
% 0.12/0.39 member(sk2,union(cons(a,cons(b,eptset)))) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,negated_conjecture,(
% 0.12/0.39 ~ member(sk2,un(a,b)) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![X0,X1]: (~member(X0,union(X1))|member(X0,unionE_sk1(X0,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f16,plain,(
% 0.12/0.39 ![X0,X1]: (~member(X0,union(X1))|member(unionE_sk1(X0,X1),X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f19,plain,(
% 0.12/0.39 ![U,W]: ((![V]: (~member(U,cons(V,W))|U=V))|member(U,W))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.12/0.39 fof(f20,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~member(X0,cons(X1,X2))|X0=X1|member(X0,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.39 fof(f21,plain,(
% 0.12/0.39 ![C,A]: (~member(C,A)|(![B]: member(C,un(A,B))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.39 fof(f22,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~member(X0,X1)|member(X0,un(X1,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f23,plain,(
% 0.12/0.39 ![C,B]: (~member(C,B)|(![A]: member(C,un(A,B))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.39 fof(f24,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~member(X0,X1)|member(X0,un(X2,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f25,plain,(
% 0.12/0.39 ![X0]: (~member(X0,eptset))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f31,plain,(
% 0.12/0.39 member(sk2,union(cons(a,cons(b,eptset))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f32,plain,(
% 0.12/0.39 ~member(sk2,un(a,b))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f33,plain,(
% 0.12/0.39 ~member(sk2,a)),
% 0.12/0.39 inference(resolution,[status(thm)],[f22,f32])).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 ~member(sk2,b)),
% 0.12/0.39 inference(resolution,[status(thm)],[f24,f32])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f16,f31])).
% 0.12/0.39 fof(f36,plain,(
% 0.12/0.39 unionE_sk1(sk2,cons(a,cons(b,eptset)))=a|member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))),
% 0.12/0.39 inference(resolution,[status(thm)],[f35,f20])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 unionE_sk1(sk2,cons(a,cons(b,eptset)))=a|unionE_sk1(sk2,cons(a,cons(b,eptset)))=b|member(unionE_sk1(sk2,cons(a,cons(b,eptset))),eptset)),
% 0.12/0.39 inference(resolution,[status(thm)],[f36,f20])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 unionE_sk1(sk2,cons(a,cons(b,eptset)))=a|unionE_sk1(sk2,cons(a,cons(b,eptset)))=b),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f37,f25])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 ~member(sk2,union(cons(a,cons(b,eptset))))|member(sk2,b)|unionE_sk1(sk2,cons(a,cons(b,eptset)))=a),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f38,f15])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 member(sk2,b)|unionE_sk1(sk2,cons(a,cons(b,eptset)))=a),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f41,f31])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 unionE_sk1(sk2,cons(a,cons(b,eptset)))=a),
% 0.12/0.39 inference(resolution,[status(thm)],[f44,f34])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 ~member(sk2,union(cons(a,cons(b,eptset))))|member(sk2,a)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f60,f15])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 member(sk2,a)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f68,f31])).
% 0.12/0.39 fof(f71,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f33,f70])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.055634 seconds
% 0.12/0.43 % CPU time: 0.169426 seconds
% 0.12/0.43 % Total memory used: 80.617 MB
% 0.12/0.43 % Net memory used: 80.180 MB
%------------------------------------------------------------------------------