%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:11:08 PM UTC 2026
% Result : Unsatisfiable 1.32s 0.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n011.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 21 04:41:25 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 1.32/0.65 % Refutation found
% 1.32/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.32/0.65 % SZS output start CNFRefutation for theBenchmark
% 1.32/0.65 fof(f1,axiom,(
% 1.32/0.65 (![Element,Subset,Superset]: (( ~ member(Element,Subset)| ~ subset(Subset,Superset)| member(Element,Superset) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f2,axiom,(
% 1.32/0.65 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f3,axiom,(
% 1.32/0.65 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f7,axiom,(
% 1.32/0.65 (![Set1,Set2,Intersection,Element]: (( ~ intersection(Set1,Set2,Intersection)| ~ member(Element,Intersection)| member(Element,Set1) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f8,axiom,(
% 1.32/0.65 (![Set1,Set2,Intersection,Element]: (( ~ intersection(Set1,Set2,Intersection)| ~ member(Element,Intersection)| member(Element,Set2) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f9,axiom,(
% 1.32/0.65 (![Set1,Set2,Intersection,Element]: (( ~ intersection(Set1,Set2,Intersection)| ~ member(Element,Set2)| ~ member(Element,Set1)| member(Element,Intersection) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f10,axiom,(
% 1.32/0.65 (![Set1,Set2,Intersection]: (( member(h(Set1,Set2,Intersection),Intersection)| intersection(Set1,Set2,Intersection)| member(h(Set1,Set2,Intersection),Set1) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f11,axiom,(
% 1.32/0.65 (![Set1,Set2,Intersection]: (( member(h(Set1,Set2,Intersection),Intersection)| intersection(Set1,Set2,Intersection)| member(h(Set1,Set2,Intersection),Set2) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f12,axiom,(
% 1.32/0.65 (![Set1,Set2,Intersection]: (( ~ member(h(Set1,Set2,Intersection),Intersection)| ~ member(h(Set1,Set2,Intersection),Set2)| ~ member(h(Set1,Set2,Intersection),Set1)| intersection(Set1,Set2,Intersection) ) ))),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f13,axiom,(
% 1.32/0.65 intersection(a,b,aIb) ),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f14,axiom,(
% 1.32/0.65 intersection(b,c,bIc) ),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f15,axiom,(
% 1.32/0.65 intersection(a,bIc,aIbIc) ),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f16,negated_conjecture,(
% 1.32/0.65 ~ intersection(aIb,c,aIbIc) ),
% 1.32/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.32/0.65 fof(f17,plain,(
% 1.32/0.65 ![Element,Superset]: ((![Subset]: (~member(Element,Subset)|~subset(Subset,Superset)))|member(Element,Superset))),
% 1.32/0.65 inference(miniscoping,[status(thm)],[f1])).
% 1.32/0.65 fof(f18,plain,(
% 1.32/0.65 ![X0,X1,X2]: (~member(X0,X1)|~subset(X1,X2)|member(X0,X2))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f17])).
% 1.32/0.65 fof(f19,plain,(
% 1.32/0.65 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f2])).
% 1.32/0.65 fof(f20,plain,(
% 1.32/0.65 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f3])).
% 1.32/0.65 fof(f24,plain,(
% 1.32/0.65 ![Set1,Element]: ((![Intersection]: ((![Set2]: ~intersection(Set1,Set2,Intersection))|~member(Element,Intersection)))|member(Element,Set1))),
% 1.32/0.65 inference(miniscoping,[status(thm)],[f7])).
% 1.32/0.65 fof(f25,plain,(
% 1.32/0.65 ![X0,X1,X2,X3]: (~intersection(X0,X1,X2)|~member(X3,X2)|member(X3,X0))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f24])).
% 1.32/0.65 fof(f26,plain,(
% 1.32/0.65 ![Set2,Element]: ((![Intersection]: ((![Set1]: ~intersection(Set1,Set2,Intersection))|~member(Element,Intersection)))|member(Element,Set2))),
% 1.32/0.65 inference(miniscoping,[status(thm)],[f8])).
% 1.32/0.65 fof(f27,plain,(
% 1.32/0.65 ![X0,X1,X2,X3]: (~intersection(X0,X1,X2)|~member(X3,X2)|member(X3,X1))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f26])).
% 1.32/0.65 fof(f28,plain,(
% 1.32/0.65 ![Intersection,Element]: ((![Set1]: ((![Set2]: (~intersection(Set1,Set2,Intersection)|~member(Element,Set2)))|~member(Element,Set1)))|member(Element,Intersection))),
% 1.32/0.65 inference(miniscoping,[status(thm)],[f9])).
% 1.32/0.65 fof(f29,plain,(
% 1.32/0.65 ![X0,X1,X2,X3]: (~intersection(X0,X1,X2)|~member(X3,X1)|~member(X3,X0)|member(X3,X2))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f28])).
% 1.32/0.65 fof(f30,plain,(
% 1.32/0.65 ![X0,X1,X2]: (member(h(X0,X1,X2),X2)|intersection(X0,X1,X2)|member(h(X0,X1,X2),X0))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f10])).
% 1.32/0.65 fof(f31,plain,(
% 1.32/0.65 ![X0,X1,X2]: (member(h(X0,X1,X2),X2)|intersection(X0,X1,X2)|member(h(X0,X1,X2),X1))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f11])).
% 1.32/0.65 fof(f32,plain,(
% 1.32/0.65 ![X0,X1,X2]: (~member(h(X0,X1,X2),X2)|~member(h(X0,X1,X2),X1)|~member(h(X0,X1,X2),X0)|intersection(X0,X1,X2))),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f12])).
% 1.32/0.65 fof(f33,plain,(
% 1.32/0.65 intersection(a,b,aIb)),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f13])).
% 1.32/0.65 fof(f34,plain,(
% 1.32/0.65 intersection(b,c,bIc)),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f14])).
% 1.32/0.65 fof(f35,plain,(
% 1.32/0.65 intersection(a,bIc,aIbIc)),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f15])).
% 1.32/0.65 fof(f36,plain,(
% 1.32/0.65 ~intersection(aIb,c,aIbIc)),
% 1.32/0.65 inference(cnf_transformation,[status(thm)],[f16])).
% 1.32/0.65 fof(f37,plain,(
% 1.32/0.65 ![X0]: (~member(X0,b)|~member(X0,a)|member(X0,aIb))),
% 1.32/0.65 inference(resolution,[status(thm)],[f33,f29])).
% 1.32/0.65 fof(f38,plain,(
% 1.32/0.65 ![X0]: (~member(X0,aIb)|member(X0,b))),
% 1.32/0.65 inference(resolution,[status(thm)],[f33,f27])).
% 1.32/0.65 fof(f39,plain,(
% 1.32/0.65 ![X0]: (~member(X0,aIb)|member(X0,a))),
% 1.32/0.65 inference(resolution,[status(thm)],[f33,f25])).
% 1.32/0.65 fof(f40,plain,(
% 1.32/0.65 ![X0]: (~member(X0,c)|~member(X0,b)|member(X0,bIc))),
% 1.32/0.65 inference(resolution,[status(thm)],[f34,f29])).
% 1.32/0.65 fof(f41,plain,(
% 1.32/0.65 ![X0]: (~member(X0,bIc)|member(X0,c))),
% 1.32/0.65 inference(resolution,[status(thm)],[f34,f27])).
% 1.32/0.65 fof(f42,plain,(
% 1.32/0.65 ![X0]: (~member(X0,bIc)|member(X0,b))),
% 1.32/0.65 inference(resolution,[status(thm)],[f34,f25])).
% 1.32/0.65 fof(f43,plain,(
% 1.32/0.65 ![X0]: (~member(X0,bIc)|~member(X0,a)|member(X0,aIbIc))),
% 1.32/0.65 inference(resolution,[status(thm)],[f35,f29])).
% 1.32/0.65 fof(f44,plain,(
% 1.32/0.65 ![X0]: (~member(X0,aIbIc)|member(X0,bIc))),
% 1.32/0.65 inference(resolution,[status(thm)],[f35,f27])).
% 1.32/0.65 fof(f45,plain,(
% 1.32/0.65 ![X0]: (~member(X0,aIbIc)|member(X0,a))),
% 1.32/0.65 inference(resolution,[status(thm)],[f35,f25])).
% 1.32/0.65 fof(f61,plain,(
% 1.32/0.65 ![X0,X1]: (member(h(aIb,X0,X1),X1)|intersection(aIb,X0,X1)|member(h(aIb,X0,X1),a))),
% 1.32/0.65 inference(resolution,[status(thm)],[f30,f39])).
% 1.32/0.65 fof(f62,plain,(
% 1.32/0.65 ![X0,X1]: (member(h(aIb,X0,X1),X1)|intersection(aIb,X0,X1)|member(h(aIb,X0,X1),b))),
% 1.32/0.65 inference(resolution,[status(thm)],[f30,f38])).
% 1.32/0.65 fof(f74,plain,(
% 1.32/0.65 ![X0]: (member(member_of_1_not_of_2(aIbIc,X0),bIc)|subset(aIbIc,X0))),
% 1.32/0.65 inference(resolution,[status(thm)],[f44,f19])).
% 1.32/0.65 fof(f84,plain,(
% 1.32/0.65 ![X0]: (member(member_of_1_not_of_2(aIbIc,X0),a)|subset(aIbIc,X0))),
% 1.32/0.65 inference(resolution,[status(thm)],[f45,f19])).
% 1.32/0.65 fof(f134,plain,(
% 1.32/0.65 ![X0,X1]: (member(h(X0,c,X1),X1)|intersection(X0,c,X1)|~member(h(X0,c,X1),b)|member(h(X0,c,X1),bIc))),
% 1.32/0.65 inference(resolution,[status(thm)],[f31,f40])).
% 1.32/0.65 fof(f182,plain,(
% 1.32/0.65 ![X0]: (subset(aIbIc,X0)|member(member_of_1_not_of_2(aIbIc,X0),b))),
% 1.32/0.65 inference(resolution,[status(thm)],[f74,f42])).
% 1.32/0.65 fof(f349,plain,(
% 1.32/0.65 subset(aIbIc,b)|subset(aIbIc,b)),
% 1.32/0.65 inference(resolution,[status(thm)],[f182,f20])).
% 1.32/0.65 fof(f350,plain,(
% 1.32/0.65 ![X0]: (subset(aIbIc,X0)|~member(member_of_1_not_of_2(aIbIc,X0),a)|member(member_of_1_not_of_2(aIbIc,X0),aIb))),
% 1.32/0.65 inference(resolution,[status(thm)],[f182,f37])).
% 1.32/0.65 fof(f351,plain,(
% 1.32/0.65 subset(aIbIc,b)),
% 1.32/0.65 inference(duplicate_literals_removal,[status(thm)],[f349])).
% 1.32/0.65 fof(f352,plain,(
% 1.32/0.65 ![X0]: (subset(aIbIc,X0)|member(member_of_1_not_of_2(aIbIc,X0),aIb))),
% 1.32/0.65 inference(forward_subsumption_resolution,[status(thm)],[f350,f84])).
% 1.32/0.65 fof(f354,plain,(
% 1.32/0.65 ![X0]: (~member(X0,aIbIc)|member(X0,b))),
% 1.32/0.65 inference(resolution,[status(thm)],[f351,f18])).
% 1.32/0.65 fof(f386,plain,(
% 1.32/0.65 ![X0]: (intersection(aIb,X0,aIbIc)|member(h(aIb,X0,aIbIc),a)|member(h(aIb,X0,aIbIc),a))),
% 1.32/0.65 inference(resolution,[status(thm)],[f61,f45])).
% 1.32/0.65 fof(f402,plain,(
% 1.32/0.65 ![X0]: (intersection(aIb,X0,aIbIc)|member(h(aIb,X0,aIbIc),a))),
% 1.32/0.65 inference(duplicate_literals_removal,[status(thm)],[f386])).
% 1.32/0.65 fof(f453,plain,(
% 1.32/0.65 ![X0]: (intersection(aIb,X0,aIbIc)|member(h(aIb,X0,aIbIc),b)|member(h(aIb,X0,aIbIc),b))),
% 1.32/0.65 inference(resolution,[status(thm)],[f62,f354])).
% 1.32/0.65 fof(f471,plain,(
% 1.32/0.65 ![X0]: (intersection(aIb,X0,aIbIc)|member(h(aIb,X0,aIbIc),b))),
% 1.32/0.65 inference(duplicate_literals_removal,[status(thm)],[f453])).
% 1.32/0.65 fof(f529,plain,(
% 1.32/0.65 subset(aIbIc,aIb)|subset(aIbIc,aIb)),
% 1.32/0.65 inference(resolution,[status(thm)],[f352,f20])).
% 1.32/0.65 fof(f532,plain,(
% 1.32/0.65 subset(aIbIc,aIb)),
% 1.32/0.65 inference(duplicate_literals_removal,[status(thm)],[f529])).
% 1.32/0.65 fof(f534,plain,(
% 1.32/0.65 ![X0]: (~member(X0,aIbIc)|member(X0,aIb))),
% 1.32/0.65 inference(resolution,[status(thm)],[f532,f18])).
% 1.32/0.65 fof(f1281,plain,(
% 1.32/0.65 intersection(aIb,c,aIbIc)|member(h(aIb,c,aIbIc),aIbIc)|intersection(aIb,c,aIbIc)|member(h(aIb,c,aIbIc),bIc)),
% 1.32/0.65 inference(resolution,[status(thm)],[f471,f134])).
% 1.32/0.65 fof(f1283,plain,(
% 1.32/0.65 intersection(aIb,c,aIbIc)|member(h(aIb,c,aIbIc),aIbIc)|member(h(aIb,c,aIbIc),bIc)),
% 1.32/0.65 inference(duplicate_literals_removal,[status(thm)],[f1281])).
% 1.32/0.65 fof(f1284,plain,(
% 1.32/0.65 member(h(aIb,c,aIbIc),aIbIc)|member(h(aIb,c,aIbIc),bIc)),
% 1.32/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1283,f36])).
% 1.32/0.65 fof(f1471,plain,(
% 1.32/0.65 member(h(aIb,c,aIbIc),bIc)),
% 1.32/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1284,f44])).
% 1.32/0.65 fof(f1472,plain,(
% 1.32/0.65 ~member(h(aIb,c,aIbIc),a)|member(h(aIb,c,aIbIc),aIbIc)),
% 1.32/0.65 inference(resolution,[status(thm)],[f1471,f43])).
% 1.32/0.65 fof(f1474,plain,(
% 1.32/0.65 member(h(aIb,c,aIbIc),c)),
% 1.32/0.65 inference(resolution,[status(thm)],[f1471,f41])).
% 1.32/0.65 fof(f1477,plain,(
% 1.32/0.65 member(h(aIb,c,aIbIc),aIbIc)|intersection(aIb,c,aIbIc)),
% 1.32/0.65 inference(resolution,[status(thm)],[f1472,f402])).
% 1.32/0.65 fof(f1481,plain,(
% 1.32/0.65 member(h(aIb,c,aIbIc),aIbIc)),
% 1.32/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1477,f36])).
% 1.32/0.65 fof(f1485,plain,(
% 1.32/0.65 ~member(h(aIb,c,aIbIc),c)|~member(h(aIb,c,aIbIc),aIb)|intersection(aIb,c,aIbIc)),
% 1.32/0.65 inference(resolution,[status(thm)],[f1481,f32])).
% 1.32/0.65 fof(f1486,plain,(
% 1.32/0.65 member(h(aIb,c,aIbIc),aIb)),
% 1.32/0.65 inference(resolution,[status(thm)],[f1481,f534])).
% 1.32/0.65 fof(f1491,plain,(
% 1.32/0.65 ~member(h(aIb,c,aIbIc),aIb)|intersection(aIb,c,aIbIc)),
% 1.32/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1485,f1474])).
% 1.32/0.65 fof(f1781,plain,(
% 1.32/0.65 intersection(aIb,c,aIbIc)),
% 1.32/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1491,f1486])).
% 1.32/0.65 fof(f1782,plain,(
% 1.32/0.65 $false),
% 1.32/0.65 inference(backward_subsumption_resolution,[status(thm)],[f36,f1781])).
% 1.32/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 1.32/0.66 % Elapsed time: 0.284265 seconds
% 1.32/0.66 % CPU time: 2.030071 seconds
% 1.32/0.66 % Total memory used: 41.234 MB
% 1.32/0.66 % Net memory used: 38.668 MB
%------------------------------------------------------------------------------