%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET046-5 : 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 : n018.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 02:11:20 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET046-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n018.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:49:43 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f1,negated_conjecture,(
% 0.18/0.49 (![X,Y]: (( ~ element(X,a)| ~ element(X,Y)| ~ element(Y,X) ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f2,negated_conjecture,(
% 0.18/0.49 (![X]: (( element(X,f(X))| element(X,a) ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f3,negated_conjecture,(
% 0.18/0.49 (![X]: (( element(f(X),X)| element(X,a) ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f4,plain,(
% 0.18/0.49 ![X0,X1]: (~element(X0,a)|~element(X0,X1)|~element(X1,X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.49 fof(f5,plain,(
% 0.18/0.49 ![X0]: (element(X0,f(X0))|element(X0,a))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.49 fof(f6,plain,(
% 0.18/0.49 ![X0]: (element(f(X0),X0)|element(X0,a))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.49 fof(f7,plain,(
% 0.18/0.49 ![X0]: (~element(f(a),X0)|~element(X0,f(a))|element(a,a))),
% 0.18/0.49 inference(resolution,[status(thm)],[f4,f6])).
% 0.18/0.49 fof(f8,definition,(
% 0.18/0.49 ![X0]: (sQ0_spl <=> (~element(f(a),X0)|~element(X0,f(a))))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f9,plain,(
% 0.18/0.49 ![X0]: (~element(f(a),X0)|~element(X0,f(a))|~sQ0_spl)),
% 0.18/0.49 inference(component_clause,[status(thm)],[f8])).
% 0.18/0.49 fof(f11,definition,(
% 0.18/0.49 sQ1_spl <=> (element(a,a))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f12,plain,(
% 0.18/0.49 element(a,a)|~sQ1_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f11])).
% 0.18/0.49 fof(f14,plain,(
% 0.18/0.49 sQ0_spl|sQ1_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f7,f8,f11])).
% 0.18/0.49 fof(f15,plain,(
% 0.18/0.49 ~element(a,f(a))|element(a,a)|~sQ0_spl),
% 0.18/0.49 inference(resolution,[status(thm)],[f9,f6])).
% 0.18/0.49 fof(f17,definition,(
% 0.18/0.49 sQ2_spl <=> (element(a,f(a)))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f19,plain,(
% 0.18/0.49 ~element(a,f(a))|sQ2_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f17])).
% 0.18/0.49 fof(f20,plain,(
% 0.18/0.49 ~sQ2_spl|sQ1_spl|~sQ0_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f15,f17,f11,f8])).
% 0.18/0.49 fof(f28,plain,(
% 0.18/0.49 ![X0]: (~element(a,X0)|~element(X0,a)|~sQ1_spl)),
% 0.18/0.49 inference(resolution,[status(thm)],[f12,f4])).
% 0.18/0.49 fof(f30,plain,(
% 0.18/0.49 ~element(a,a)|~sQ1_spl),
% 0.18/0.49 inference(resolution,[status(thm)],[f28,f12])).
% 0.18/0.49 fof(f32,plain,(
% 0.18/0.49 $false|~sQ1_spl),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f30,f12])).
% 0.18/0.49 fof(f33,plain,(
% 0.18/0.49 ~sQ1_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f32])).
% 0.18/0.49 fof(f34,plain,(
% 0.18/0.49 element(a,a)|sQ2_spl),
% 0.18/0.49 inference(resolution,[status(thm)],[f19,f5])).
% 0.18/0.49 fof(f35,plain,(
% 0.18/0.49 sQ1_spl|sQ2_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f34,f11,f17])).
% 0.18/0.49 fof(f36,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(sat_refutation,[status(thm)],[f14,f20,f33,f35])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.51 % Elapsed time: 0.059300 seconds
% 0.18/0.51 % CPU time: 0.056820 seconds
% 0.18/0.51 % Total memory used: 515.648 KB
% 0.18/0.51 % Net memory used: 515.088 KB
%------------------------------------------------------------------------------