%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS002-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 01:00:03 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS002-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n019.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 20 22:49:49 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.18/0.43 % Drodi V4.1.1
% 0.18/0.44 % Refutation found
% 0.18/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.44 fof(f1,negated_conjecture,(
% 0.18/0.44 e(exist) ),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f2,axiom,(
% 0.18/0.44 (![X1]: (( s2least(X1)| ~ c(X1) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f4,axiom,(
% 0.18/0.44 (![X1]: (( ~ s2least(X1)| ~ equalish(u1r2(X1),u1r1(X1)) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f5,axiom,(
% 0.18/0.44 (![X1]: (( s(X1,u1r1(X1))| ~ s2least(X1) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f6,axiom,(
% 0.18/0.44 (![X1]: (( s(X1,u1r2(X1))| ~ s2least(X1) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f8,axiom,(
% 0.18/0.44 (![X1]: (( s1most(X1)| ~ d(X1) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f10,axiom,(
% 0.18/0.44 (![X3,X2,X1]: (( equalish(X3,X2)| ~ s1most(X1)| ~ s(X1,X3)| ~ s(X1,X2) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f14,axiom,(
% 0.18/0.44 (![X1]: (( r(X1,u4r2(X1))| ~ e(X1) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f15,axiom,(
% 0.18/0.44 (![X2,X1]: (( d(X2)| ~ e(X1)| ~ r(X1,X2) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f16,axiom,(
% 0.18/0.44 (![X2,X1]: (( c(X2)| ~ e(X1)| ~ r(X1,X2) ) ))),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f19,plain,(
% 0.18/0.44 e(exist)),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.44 fof(f20,plain,(
% 0.18/0.44 ![X0]: (s2least(X0)|~c(X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.44 fof(f22,plain,(
% 0.18/0.44 ![X0]: (~s2least(X0)|~equalish(u1r2(X0),u1r1(X0)))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.44 fof(f23,plain,(
% 0.18/0.44 ![X0]: (s(X0,u1r1(X0))|~s2least(X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.44 fof(f24,plain,(
% 0.18/0.44 ![X0]: (s(X0,u1r2(X0))|~s2least(X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.44 fof(f27,plain,(
% 0.18/0.44 ![X0]: (s1most(X0)|~d(X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.18/0.44 fof(f29,plain,(
% 0.18/0.44 ![X2,X1]: ((![X3]: ((equalish(X3,X2)|~s1most(X1))|~s(X1,X3)))|~s(X1,X2))),
% 0.18/0.44 inference(miniscoping,[status(thm)],[f10])).
% 0.18/0.44 fof(f30,plain,(
% 0.18/0.44 ![X0,X1,X2]: (equalish(X0,X1)|~s1most(X2)|~s(X2,X0)|~s(X2,X1))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f29])).
% 0.18/0.44 fof(f34,plain,(
% 0.18/0.44 ![X0]: (r(X0,u4r2(X0))|~e(X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.18/0.44 fof(f35,plain,(
% 0.18/0.44 ![X0,X1]: (d(X0)|~e(X1)|~r(X1,X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.44 fof(f36,plain,(
% 0.18/0.44 ![X0,X1]: (c(X0)|~e(X1)|~r(X1,X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.18/0.44 fof(f42,plain,(
% 0.18/0.44 ![X0]: (d(X0)|~r(exist,X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f35,f19])).
% 0.18/0.44 fof(f43,plain,(
% 0.18/0.44 d(u4r2(exist))|~e(exist)),
% 0.18/0.44 inference(resolution,[status(thm)],[f42,f34])).
% 0.18/0.44 fof(f44,definition,(
% 0.18/0.44 sQ0_spl <=> (d(u4r2(exist)))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f45,plain,(
% 0.18/0.44 d(u4r2(exist))|~sQ0_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f44])).
% 0.18/0.44 fof(f47,definition,(
% 0.18/0.44 sQ1_spl <=> (e(exist))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f49,plain,(
% 0.18/0.44 ~e(exist)|sQ1_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f47])).
% 0.18/0.44 fof(f50,plain,(
% 0.18/0.44 sQ0_spl|~sQ1_spl),
% 0.18/0.44 inference(split_clause,[status(thm)],[f43,f44,f47])).
% 0.18/0.44 fof(f51,plain,(
% 0.18/0.44 s1most(u4r2(exist))|~sQ0_spl),
% 0.18/0.44 inference(resolution,[status(thm)],[f45,f27])).
% 0.18/0.44 fof(f52,plain,(
% 0.18/0.44 ![X0,X1]: (equalish(X0,X1)|~s(u4r2(exist),X0)|~s(u4r2(exist),X1)|~sQ0_spl)),
% 0.18/0.44 inference(resolution,[status(thm)],[f51,f30])).
% 0.18/0.44 fof(f54,plain,(
% 0.18/0.44 ![X0]: (c(X0)|~r(exist,X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f36,f19])).
% 0.18/0.44 fof(f55,plain,(
% 0.18/0.44 c(u4r2(exist))|~e(exist)),
% 0.18/0.44 inference(resolution,[status(thm)],[f54,f34])).
% 0.18/0.44 fof(f56,definition,(
% 0.18/0.44 sQ2_spl <=> (c(u4r2(exist)))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f57,plain,(
% 0.18/0.44 c(u4r2(exist))|~sQ2_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f56])).
% 0.18/0.44 fof(f59,plain,(
% 0.18/0.44 sQ2_spl|~sQ1_spl),
% 0.18/0.45 inference(split_clause,[status(thm)],[f55,f56,f47])).
% 0.18/0.45 fof(f60,plain,(
% 0.18/0.45 $false|sQ1_spl),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f49,f19])).
% 0.18/0.45 fof(f61,plain,(
% 0.18/0.45 sQ1_spl),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f60])).
% 0.18/0.45 fof(f67,plain,(
% 0.18/0.45 s2least(u4r2(exist))|~sQ2_spl),
% 0.18/0.45 inference(resolution,[status(thm)],[f57,f20])).
% 0.18/0.45 fof(f68,plain,(
% 0.18/0.45 s(u4r2(exist),u1r2(u4r2(exist)))|~sQ2_spl),
% 0.18/0.45 inference(resolution,[status(thm)],[f67,f24])).
% 0.18/0.45 fof(f69,plain,(
% 0.18/0.45 s(u4r2(exist),u1r1(u4r2(exist)))|~sQ2_spl),
% 0.18/0.45 inference(resolution,[status(thm)],[f67,f23])).
% 0.18/0.45 fof(f85,plain,(
% 0.18/0.45 ![X0]: (equalish(X0,u1r1(u4r2(exist)))|~s(u4r2(exist),X0)|~sQ2_spl|~sQ0_spl)),
% 0.18/0.45 inference(resolution,[status(thm)],[f69,f52])).
% 0.18/0.45 fof(f86,plain,(
% 0.18/0.45 ~s(u4r2(exist),u1r2(u4r2(exist)))|~s2least(u4r2(exist))|~sQ2_spl|~sQ0_spl),
% 0.18/0.45 inference(resolution,[status(thm)],[f85,f22])).
% 0.18/0.45 fof(f87,definition,(
% 0.18/0.45 sQ6_spl <=> (s(u4r2(exist),u1r2(u4r2(exist))))),
% 0.18/0.45 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.45 fof(f89,plain,(
% 0.18/0.45 ~s(u4r2(exist),u1r2(u4r2(exist)))|sQ6_spl),
% 0.18/0.45 inference(component_clause,[status(thm)],[f87])).
% 0.18/0.45 fof(f90,definition,(
% 0.18/0.45 sQ7_spl <=> (s2least(u4r2(exist)))),
% 0.18/0.45 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.45 fof(f92,plain,(
% 0.18/0.45 ~s2least(u4r2(exist))|sQ7_spl),
% 0.18/0.45 inference(component_clause,[status(thm)],[f90])).
% 0.18/0.45 fof(f93,plain,(
% 0.18/0.45 ~sQ6_spl|~sQ7_spl|~sQ2_spl|~sQ0_spl),
% 0.18/0.45 inference(split_clause,[status(thm)],[f86,f87,f90,f56,f44])).
% 0.18/0.45 fof(f94,plain,(
% 0.18/0.45 $false|~sQ2_spl|sQ6_spl),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f89,f68])).
% 0.18/0.45 fof(f95,plain,(
% 0.18/0.45 ~sQ2_spl|sQ6_spl),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f94])).
% 0.18/0.45 fof(f96,plain,(
% 0.18/0.45 $false|~sQ2_spl|sQ7_spl),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f92,f67])).
% 0.18/0.45 fof(f97,plain,(
% 0.18/0.45 ~sQ2_spl|sQ7_spl),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f96])).
% 0.18/0.45 fof(f98,plain,(
% 0.18/0.45 $false),
% 0.18/0.45 inference(sat_refutation,[status(thm)],[f50,f59,f61,f93,f95,f97])).
% 0.18/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.47 % Elapsed time: 0.052465 seconds
% 0.18/0.47 % CPU time: 0.114856 seconds
% 0.18/0.47 % Total memory used: 10.564 MB
% 0.18/0.47 % Net memory used: 10.325 MB
%------------------------------------------------------------------------------