%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS001-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:00:03 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS001-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n015.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 22:52:35 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f1,negated_conjecture,(
% 0.19/0.48 e(exist) ),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f2,axiom,(
% 0.19/0.48 (![X1]: (( r2least(X1)| ~ c(X1) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f4,axiom,(
% 0.19/0.48 (![X1]: (( ~ r2least(X1)| ~ equalish(u1r2(X1),u1r1(X1)) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f5,axiom,(
% 0.19/0.48 (![X1]: (( r(X1,u1r1(X1))| ~ r2least(X1) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f6,axiom,(
% 0.19/0.48 (![X1]: (( r(X1,u1r2(X1))| ~ r2least(X1) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f8,axiom,(
% 0.19/0.48 (![X1]: (( r1most(X1)| ~ d(X1) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f10,axiom,(
% 0.19/0.48 (![X3,X2,X1]: (( equalish(X3,X2)| ~ r1most(X1)| ~ r(X1,X3)| ~ r(X1,X2) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f14,axiom,(
% 0.19/0.48 (![X1]: (( d(X1)| ~ e(X1) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f15,axiom,(
% 0.19/0.48 (![X1]: (( c(X1)| ~ e(X1) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f17,plain,(
% 0.19/0.48 e(exist)),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.19/0.48 fof(f18,plain,(
% 0.19/0.48 ![X0]: (r2least(X0)|~c(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.19/0.48 fof(f20,plain,(
% 0.19/0.48 ![X0]: (~r2least(X0)|~equalish(u1r2(X0),u1r1(X0)))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.48 fof(f21,plain,(
% 0.19/0.48 ![X0]: (r(X0,u1r1(X0))|~r2least(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/0.48 fof(f22,plain,(
% 0.19/0.48 ![X0]: (r(X0,u1r2(X0))|~r2least(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.19/0.48 fof(f25,plain,(
% 0.19/0.48 ![X0]: (r1most(X0)|~d(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.19/0.48 fof(f27,plain,(
% 0.19/0.48 ![X2,X1]: ((![X3]: ((equalish(X3,X2)|~r1most(X1))|~r(X1,X3)))|~r(X1,X2))),
% 0.19/0.48 inference(miniscoping,[status(thm)],[f10])).
% 0.19/0.48 fof(f28,plain,(
% 0.19/0.48 ![X0,X1,X2]: (equalish(X0,X1)|~r1most(X2)|~r(X2,X0)|~r(X2,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.19/0.48 fof(f32,plain,(
% 0.19/0.48 ![X0]: (d(X0)|~e(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.48 fof(f33,plain,(
% 0.19/0.48 ![X0]: (c(X0)|~e(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.19/0.48 fof(f35,plain,(
% 0.19/0.48 d(exist)),
% 0.19/0.48 inference(resolution,[status(thm)],[f32,f17])).
% 0.19/0.48 fof(f36,plain,(
% 0.19/0.48 c(exist)),
% 0.19/0.48 inference(resolution,[status(thm)],[f33,f17])).
% 0.19/0.48 fof(f45,plain,(
% 0.19/0.48 r2least(exist)),
% 0.19/0.48 inference(resolution,[status(thm)],[f18,f36])).
% 0.19/0.48 fof(f47,plain,(
% 0.19/0.48 r1most(exist)),
% 0.19/0.48 inference(resolution,[status(thm)],[f25,f35])).
% 0.19/0.48 fof(f49,plain,(
% 0.19/0.48 r(exist,u1r1(exist))),
% 0.19/0.48 inference(resolution,[status(thm)],[f21,f45])).
% 0.19/0.48 fof(f50,plain,(
% 0.19/0.48 r(exist,u1r2(exist))),
% 0.19/0.48 inference(resolution,[status(thm)],[f22,f45])).
% 0.19/0.48 fof(f51,plain,(
% 0.19/0.48 ![X0]: (equalish(X0,u1r1(exist))|~r1most(exist)|~r(exist,X0))),
% 0.19/0.48 inference(resolution,[status(thm)],[f28,f49])).
% 0.19/0.48 fof(f52,definition,(
% 0.19/0.48 ![X0]: (sQ2_spl <=> (equalish(X0,u1r1(exist))|~r(exist,X0)))),
% 0.19/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.19/0.48 fof(f53,plain,(
% 0.19/0.48 ![X0]: (equalish(X0,u1r1(exist))|~r(exist,X0)|~sQ2_spl)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f52])).
% 0.19/0.48 fof(f55,definition,(
% 0.19/0.48 sQ3_spl <=> (r1most(exist))),
% 0.19/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.48 fof(f57,plain,(
% 0.19/0.48 ~r1most(exist)|sQ3_spl),
% 0.19/0.48 inference(component_clause,[status(thm)],[f55])).
% 0.19/0.48 fof(f58,plain,(
% 0.19/0.48 sQ2_spl|~sQ3_spl),
% 0.19/0.48 inference(split_clause,[status(thm)],[f51,f52,f55])).
% 0.19/0.48 fof(f105,plain,(
% 0.19/0.48 equalish(u1r2(exist),u1r1(exist))|~sQ2_spl),
% 0.19/0.48 inference(resolution,[status(thm)],[f53,f50])).
% 0.19/0.48 fof(f130,plain,(
% 0.19/0.48 ~r2least(exist)|~sQ2_spl),
% 0.19/0.48 inference(resolution,[status(thm)],[f105,f20])).
% 0.19/0.48 fof(f131,plain,(
% 0.19/0.48 $false|~sQ2_spl),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f130,f45])).
% 0.19/0.48 fof(f132,plain,(
% 0.19/0.48 ~sQ2_spl),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f131])).
% 0.19/0.48 fof(f133,plain,(
% 0.19/0.48 $false|sQ3_spl),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f57,f47])).
% 0.19/0.49 fof(f134,plain,(
% 0.19/0.49 sQ3_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f133])).
% 0.19/0.49 fof(f135,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f58,f132,f134])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.55 % Elapsed time: 0.082668 seconds
% 0.25/0.55 % CPU time: 0.079485 seconds
% 0.25/0.55 % Total memory used: 5.332 MB
% 0.25/0.55 % Net memory used: 5.245 MB
%------------------------------------------------------------------------------