%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU323-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:22:19 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU323-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 06:07:11 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (![A,B,C]: (ifeq2(A,A,B,C) = B ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f3,axiom,(
% 0.08/0.37 (![B,A]: (ifeq(element(B,powerset(the_carrier(A))),true,ifeq(closed_subset(B,A),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(subset_complement(the_carrier(A),B),A),true),true),true),true) = true ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f9,axiom,(
% 0.08/0.37 (![B,A]: (ifeq(element(B,powerset(A)),true,element(subset_complement(A,B),powerset(A)),true) = true ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f10,axiom,(
% 0.08/0.37 (![B,A]: (ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(topstr_closure(A,B),powerset(the_carrier(A))),true),true) = true ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f11,axiom,(
% 0.08/0.37 (![B,A]: (ifeq(element(B,powerset(the_carrier(A))),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,B),A),true),true),true) = true ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f21,axiom,(
% 0.08/0.37 (![B,A]: (ifeq2(element(B,powerset(the_carrier(A))),true,ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))),interior(A,B)),interior(A,B)) = interior(A,B) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f22,negated_conjecture,(
% 0.08/0.37 top_str(sK2_t51_tops_1_A) = true ),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f23,negated_conjecture,(
% 0.08/0.37 topological_space(sK2_t51_tops_1_A) = true ),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f24,negated_conjecture,(
% 0.08/0.37 element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f25,negated_conjecture,(
% 0.08/0.37 open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true ),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f26,plain,(
% 0.08/0.37 ![X0,X1,X2]: (ifeq2(X0,X0,X1,X2)=X1)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.37 fof(f27,plain,(
% 0.08/0.37 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f28,plain,(
% 0.08/0.37 ![X0,X1]: (ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(closed_subset(X0,X1),true,ifeq(topological_space(X1),true,ifeq(top_str(X1),true,open_subset(subset_complement(the_carrier(X1),X0),X1),true),true),true),true)=true)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.37 fof(f34,plain,(
% 0.08/0.37 ![X0,X1]: (ifeq(element(X0,powerset(X1)),true,element(subset_complement(X1,X0),powerset(X1)),true)=true)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.37 fof(f35,plain,(
% 0.08/0.37 ![X0,X1]: (ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(top_str(X1),true,element(topstr_closure(X1,X0),powerset(the_carrier(X1))),true),true)=true)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.37 fof(f36,plain,(
% 0.08/0.37 ![X0,X1]: (ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(topological_space(X1),true,ifeq(top_str(X1),true,closed_subset(topstr_closure(X1,X0),X1),true),true),true)=true)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.37 fof(f46,plain,(
% 0.08/0.37 ![X0,X1]: (ifeq2(element(X0,powerset(the_carrier(X1))),true,ifeq2(top_str(X1),true,subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X0))),interior(X1,X0)),interior(X1,X0))=interior(X1,X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.37 fof(f47,plain,(
% 0.08/0.37 top_str(sK2_t51_tops_1_A)=true),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/0.37 fof(f48,plain,(
% 0.08/0.37 topological_space(sK2_t51_tops_1_A)=true),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.37 fof(f49,plain,(
% 0.08/0.37 element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A)))=true),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/0.37 fof(f50,plain,(
% 0.08/0.37 ~open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)=true),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.37 fof(f61,plain,(
% 0.08/0.37 ![X0]: (ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true),true)=true)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f48,f28])).
% 0.08/0.37 fof(f68,plain,(
% 0.08/0.37 ![X0]: (ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true)=true)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f61])).
% 0.08/0.37 fof(f69,plain,(
% 0.08/0.37 ![X0]: (ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(true,true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true)=true)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f47,f68])).
% 0.08/0.37 fof(f70,plain,(
% 0.08/0.37 ![X0]: (ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true)=true)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f69])).
% 0.08/0.37 fof(f145,plain,(
% 0.08/0.37 ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true)=true),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f49,f34])).
% 0.08/0.37 fof(f147,plain,(
% 0.08/0.37 element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f145])).
% 0.08/0.37 fof(f382,plain,(
% 0.08/0.37 ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true)=true),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f147,f36])).
% 0.08/0.37 fof(f383,plain,(
% 0.08/0.37 ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true)=true),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f147,f35])).
% 0.08/0.37 fof(f397,plain,(
% 0.08/0.37 ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f382])).
% 0.08/0.37 fof(f398,plain,(
% 0.08/0.37 ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f48,f397])).
% 0.08/0.37 fof(f399,plain,(
% 0.08/0.37 ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f398])).
% 0.08/0.37 fof(f400,plain,(
% 0.08/0.37 ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f47,f399])).
% 0.08/0.37 fof(f401,plain,(
% 0.08/0.37 closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f400])).
% 0.08/0.37 fof(f402,plain,(
% 0.08/0.37 ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f383])).
% 0.08/0.37 fof(f403,plain,(
% 0.08/0.37 ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f47,f402])).
% 0.08/0.37 fof(f404,plain,(
% 0.08/0.37 element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f403])).
% 0.08/0.37 fof(f538,plain,(
% 0.08/0.37 ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))=interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f49,f46])).
% 0.08/0.37 fof(f555,plain,(
% 0.08/0.37 ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))=interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f26,f538])).
% 0.08/0.37 fof(f556,plain,(
% 0.08/0.37 ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))=interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f47,f555])).
% 0.08/0.37 fof(f557,plain,(
% 0.08/0.37 subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))=interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f26,f556])).
% 0.08/0.37 fof(f817,plain,(
% 0.08/0.37 ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)=true),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f557,f70])).
% 0.08/0.37 fof(f826,plain,(
% 0.08/0.37 ifeq(true,true,ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f404,f817])).
% 0.08/0.37 fof(f827,plain,(
% 0.08/0.37 ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f826])).
% 0.08/0.37 fof(f828,plain,(
% 0.08/0.37 ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f401,f827])).
% 0.08/0.37 fof(f829,plain,(
% 0.08/0.37 open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)=true),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f828])).
% 0.08/0.37 fof(f830,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f829,f50])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.043841 seconds
% 0.12/0.40 % CPU time: 0.074034 seconds
% 0.12/0.40 % Total memory used: 5.291 MB
% 0.12/0.40 % Net memory used: 5.273 MB
%------------------------------------------------------------------------------