%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS013-1 : 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 : n019.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 01:00:05 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS013-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n019.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 20 22:50:51 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.46 fof(f1,negated_conjecture,(
% 0.16/0.46 e(exist) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f2,negated_conjecture,(
% 0.16/0.46 ~ f(exist) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f3,axiom,(
% 0.16/0.46 (![X1]: (( t2least(X1)| ~ c(X1) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f5,axiom,(
% 0.16/0.46 (![X1]: (( ~ t2least(X1)| ~ equalish(u1r2(X1),u1r1(X1)) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f6,axiom,(
% 0.16/0.46 (![X1]: (( t(X1,u1r1(X1))| ~ t2least(X1) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f7,axiom,(
% 0.16/0.46 (![X1]: (( t(X1,u1r2(X1))| ~ t2least(X1) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f9,axiom,(
% 0.16/0.46 (![X1]: (( t1most(X1)| ~ d(X1) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f11,axiom,(
% 0.16/0.46 (![X3,X2,X1]: (( equalish(X3,X2)| ~ t1most(X1)| ~ t(X1,X3)| ~ t(X1,X2) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f15,axiom,(
% 0.16/0.46 (![X3,X1]: (( d(X3)| ~ e(X1)| ~ r(X1,X3) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f16,axiom,(
% 0.16/0.46 (![X2,X1]: (( c(X2)| ~ e(X1)| ~ r(X1,X2)| ~ s2least(X2) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f26,axiom,(
% 0.16/0.46 (![X1,X3,X2]: (( s2least(X1)| equalish(X3,X2)| ~ s(X1,X3)| ~ s(X1,X2) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f28,axiom,(
% 0.16/0.46 (![X1]: (( f(X1)| ~ s1most(u6r1(X1)) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f29,axiom,(
% 0.16/0.46 (![X1]: (( f(X1)| r(X1,u6r1(X1)) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f31,axiom,(
% 0.16/0.46 (![X1]: (( s1most(X1)| ~ equalish(u7r2(X1),u7r1(X1)) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f32,axiom,(
% 0.16/0.46 (![X1]: (( s1most(X1)| s(X1,u7r1(X1)) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f33,axiom,(
% 0.16/0.46 (![X1]: (( s1most(X1)| s(X1,u7r2(X1)) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f34,plain,(
% 0.16/0.46 e(exist)),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.46 fof(f35,plain,(
% 0.16/0.46 ~f(exist)),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.46 fof(f36,plain,(
% 0.16/0.46 ![X0]: (t2least(X0)|~c(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.46 fof(f38,plain,(
% 0.16/0.46 ![X0]: (~t2least(X0)|~equalish(u1r2(X0),u1r1(X0)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/0.46 fof(f39,plain,(
% 0.16/0.46 ![X0]: (t(X0,u1r1(X0))|~t2least(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.46 fof(f40,plain,(
% 0.16/0.46 ![X0]: (t(X0,u1r2(X0))|~t2least(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.46 fof(f43,plain,(
% 0.16/0.46 ![X0]: (t1most(X0)|~d(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.46 fof(f45,plain,(
% 0.16/0.46 ![X2,X1]: ((![X3]: ((equalish(X3,X2)|~t1most(X1))|~t(X1,X3)))|~t(X1,X2))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f11])).
% 0.16/0.46 fof(f46,plain,(
% 0.16/0.46 ![X0,X1,X2]: (equalish(X0,X1)|~t1most(X2)|~t(X2,X0)|~t(X2,X1))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.46 fof(f50,plain,(
% 0.16/0.46 ![X0,X1]: (d(X0)|~e(X1)|~r(X1,X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.46 fof(f51,plain,(
% 0.16/0.46 ![X2]: ((![X1]: ((c(X2)|~e(X1))|~r(X1,X2)))|~s2least(X2))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f16])).
% 0.16/0.46 fof(f52,plain,(
% 0.16/0.46 ![X0,X1]: (c(X0)|~e(X1)|~r(X1,X0)|~s2least(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f51])).
% 0.16/0.46 fof(f62,plain,(
% 0.16/0.46 ![X1,X2]: ((![X3]: ((s2least(X1)|equalish(X3,X2))|~s(X1,X3)))|~s(X1,X2))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f26])).
% 0.16/0.46 fof(f63,plain,(
% 0.16/0.46 ![X0,X1,X2]: (s2least(X0)|equalish(X1,X2)|~s(X0,X1)|~s(X0,X2))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f62])).
% 0.16/0.46 fof(f65,plain,(
% 0.16/0.46 ![X0]: (f(X0)|~s1most(u6r1(X0)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f28])).
% 0.16/0.46 fof(f66,plain,(
% 0.16/0.46 ![X0]: (f(X0)|r(X0,u6r1(X0)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f29])).
% 0.16/0.46 fof(f69,plain,(
% 0.16/0.46 ![X0]: (s1most(X0)|~equalish(u7r2(X0),u7r1(X0)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/0.46 fof(f70,plain,(
% 0.16/0.46 ![X0]: (s1most(X0)|s(X0,u7r1(X0)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f32])).
% 0.16/0.46 fof(f71,plain,(
% 0.16/0.46 ![X0]: (s1most(X0)|s(X0,u7r2(X0)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f33])).
% 0.16/0.46 fof(f74,plain,(
% 0.16/0.46 ![X0]: (d(X0)|~r(exist,X0))),
% 0.16/0.46 inference(resolution,[status(thm)],[f50,f34])).
% 0.16/0.46 fof(f75,plain,(
% 0.16/0.46 d(u6r1(exist))|f(exist)),
% 0.16/0.46 inference(resolution,[status(thm)],[f74,f66])).
% 0.16/0.46 fof(f76,definition,(
% 0.16/0.46 sQ0_spl <=> (d(u6r1(exist)))),
% 0.16/0.46 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.46 fof(f77,plain,(
% 0.16/0.46 d(u6r1(exist))|~sQ0_spl),
% 0.16/0.46 inference(component_clause,[status(thm)],[f76])).
% 0.16/0.46 fof(f79,definition,(
% 0.16/0.46 sQ1_spl <=> (f(exist))),
% 0.16/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.46 fof(f80,plain,(
% 0.16/0.46 f(exist)|~sQ1_spl),
% 0.16/0.46 inference(component_clause,[status(thm)],[f79])).
% 0.16/0.46 fof(f82,plain,(
% 0.16/0.46 sQ0_spl|sQ1_spl),
% 0.16/0.46 inference(split_clause,[status(thm)],[f75,f76,f79])).
% 0.16/0.46 fof(f83,plain,(
% 0.16/0.46 t1most(u6r1(exist))|~sQ0_spl),
% 0.16/0.46 inference(resolution,[status(thm)],[f77,f43])).
% 0.16/0.46 fof(f84,plain,(
% 0.16/0.46 ![X0,X1]: (equalish(X0,X1)|~t(u6r1(exist),X0)|~t(u6r1(exist),X1)|~sQ0_spl)),
% 0.16/0.46 inference(resolution,[status(thm)],[f83,f46])).
% 0.16/0.46 fof(f124,plain,(
% 0.16/0.46 ![X0,X1]: (s2least(X0)|equalish(X1,u7r1(X0))|~s(X0,X1)|s1most(X0))),
% 0.16/0.46 inference(resolution,[status(thm)],[f63,f70])).
% 0.16/0.46 fof(f145,plain,(
% 0.16/0.46 ![X0]: (s2least(X0)|~s(X0,u7r2(X0))|s1most(X0)|s1most(X0))),
% 0.16/0.46 inference(resolution,[status(thm)],[f124,f69])).
% 0.16/0.46 fof(f146,plain,(
% 0.16/0.46 ![X0]: (s2least(X0)|~s(X0,u7r2(X0))|s1most(X0))),
% 0.16/0.46 inference(duplicate_literals_removal,[status(thm)],[f145])).
% 0.16/0.46 fof(f147,plain,(
% 0.16/0.46 ![X0]: (s2least(X0)|s1most(X0))),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f146,f71])).
% 0.16/0.46 fof(f148,plain,(
% 0.16/0.46 ![X0]: (s2least(u6r1(X0))|f(X0))),
% 0.16/0.46 inference(resolution,[status(thm)],[f147,f65])).
% 0.16/0.46 fof(f150,plain,(
% 0.16/0.46 ![X0,X1]: (f(X0)|c(u6r1(X0))|~e(X1)|~r(X1,u6r1(X0)))),
% 0.16/0.46 inference(resolution,[status(thm)],[f148,f52])).
% 0.16/0.46 fof(f155,plain,(
% 0.16/0.46 ![X0]: (f(X0)|c(u6r1(X0))|~r(exist,u6r1(X0)))),
% 0.16/0.46 inference(resolution,[status(thm)],[f150,f34])).
% 0.16/0.46 fof(f156,plain,(
% 0.16/0.46 f(exist)|c(u6r1(exist))|f(exist)),
% 0.16/0.46 inference(resolution,[status(thm)],[f155,f66])).
% 0.16/0.46 fof(f157,definition,(
% 0.16/0.46 sQ12_spl <=> (c(u6r1(exist)))),
% 0.16/0.46 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.16/0.46 fof(f158,plain,(
% 0.16/0.46 c(u6r1(exist))|~sQ12_spl),
% 0.16/0.46 inference(component_clause,[status(thm)],[f157])).
% 0.16/0.46 fof(f160,plain,(
% 0.16/0.46 sQ1_spl|sQ12_spl),
% 0.16/0.46 inference(split_clause,[status(thm)],[f156,f79,f157])).
% 0.16/0.46 fof(f161,plain,(
% 0.16/0.46 $false|~sQ1_spl),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f80,f35])).
% 0.16/0.46 fof(f162,plain,(
% 0.16/0.46 ~sQ1_spl),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f161])).
% 0.16/0.46 fof(f165,plain,(
% 0.16/0.46 t2least(u6r1(exist))|~sQ12_spl),
% 0.16/0.46 inference(resolution,[status(thm)],[f158,f36])).
% 0.16/0.46 fof(f171,plain,(
% 0.16/0.46 t(u6r1(exist),u1r2(u6r1(exist)))|~sQ12_spl),
% 0.16/0.46 inference(resolution,[status(thm)],[f165,f40])).
% 0.16/0.46 fof(f172,plain,(
% 0.16/0.46 t(u6r1(exist),u1r1(u6r1(exist)))|~sQ12_spl),
% 0.16/0.46 inference(resolution,[status(thm)],[f165,f39])).
% 0.16/0.46 fof(f176,definition,(
% 0.16/0.46 sQ13_spl <=> (t2least(u6r1(exist)))),
% 0.16/0.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.16/0.46 fof(f178,plain,(
% 0.16/0.46 ~t2least(u6r1(exist))|sQ13_spl),
% 0.16/0.46 inference(component_clause,[status(thm)],[f176])).
% 0.16/0.46 fof(f183,plain,(
% 0.16/0.46 ![X0]: (equalish(X0,u1r1(u6r1(exist)))|~t(u6r1(exist),X0)|~sQ12_spl|~sQ0_spl)),
% 0.16/0.46 inference(resolution,[status(thm)],[f172,f84])).
% 0.16/0.46 fof(f189,plain,(
% 0.16/0.46 ~t(u6r1(exist),u1r2(u6r1(exist)))|~t2least(u6r1(exist))|~sQ12_spl|~sQ0_spl),
% 0.16/0.46 inference(resolution,[status(thm)],[f183,f38])).
% 0.16/0.46 fof(f190,definition,(
% 0.16/0.46 sQ16_spl <=> (t(u6r1(exist),u1r2(u6r1(exist))))),
% 0.16/0.46 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.16/0.46 fof(f192,plain,(
% 0.16/0.46 ~t(u6r1(exist),u1r2(u6r1(exist)))|sQ16_spl),
% 0.16/0.46 inference(component_clause,[status(thm)],[f190])).
% 0.16/0.46 fof(f193,plain,(
% 0.16/0.46 ~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.16/0.46 inference(split_clause,[status(thm)],[f189,f190,f176,f157,f76])).
% 0.16/0.46 fof(f194,plain,(
% 0.16/0.46 $false|~sQ12_spl|sQ16_spl),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f192,f171])).
% 0.16/0.46 fof(f195,plain,(
% 0.16/0.46 ~sQ12_spl|sQ16_spl),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f194])).
% 0.16/0.46 fof(f196,plain,(
% 0.16/0.46 $false|~sQ12_spl|sQ13_spl),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f178,f165])).
% 0.16/0.46 fof(f197,plain,(
% 0.16/0.46 ~sQ12_spl|sQ13_spl),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f196])).
% 0.16/0.46 fof(f198,plain,(
% 0.16/0.46 $false),
% 0.16/0.46 inference(sat_refutation,[status(thm)],[f82,f160,f162,f193,f195,f197])).
% 0.16/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.49 % Elapsed time: 0.059322 seconds
% 0.16/0.49 % CPU time: 0.051839 seconds
% 0.16/0.49 % Total memory used: 625.616 KB
% 0.16/0.49 % Net memory used: 624.384 KB
%------------------------------------------------------------------------------