%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS015-1 : 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 : n026.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 0.11s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS015-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 20 22:53:21 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42 fof(f1,negated_conjecture,(
% 0.11/0.42 e(exist) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f2,axiom,(
% 0.11/0.42 (![X1]: (( t2least(X1)| ~ c(X1) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f4,axiom,(
% 0.11/0.42 (![X1]: (( ~ t2least(X1)| ~ equalish(u1r2(X1),u1r1(X1)) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f5,axiom,(
% 0.11/0.42 (![X1]: (( t(X1,u1r1(X1))| ~ t2least(X1) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f6,axiom,(
% 0.11/0.42 (![X1]: (( t(X1,u1r2(X1))| ~ t2least(X1) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f8,axiom,(
% 0.11/0.42 (![X1]: (( t1most(X1)| ~ d(X1) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f10,axiom,(
% 0.11/0.42 (![X3,X2,X1]: (( equalish(X3,X2)| ~ t1most(X1)| ~ t(X1,X3)| ~ t(X1,X2) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f14,axiom,(
% 0.11/0.42 (![X1]: (( r(X1,u4r4(X1))| ~ e(X1) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f15,axiom,(
% 0.11/0.42 (![X1,X4]: (( s(X1,X4)| ~ e(X1)| ~ r(X1,X4) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f17,axiom,(
% 0.11/0.42 (![X3,X1]: (( d(X3)| ~ e(X1)| ~ s(X1,X3) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f18,axiom,(
% 0.11/0.42 (![X2,X1]: (( c(X2)| ~ e(X1)| ~ r(X1,X2) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f27,plain,(
% 0.11/0.42 e(exist)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.42 fof(f28,plain,(
% 0.11/0.42 ![X0]: (t2least(X0)|~c(X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.42 fof(f30,plain,(
% 0.11/0.42 ![X0]: (~t2least(X0)|~equalish(u1r2(X0),u1r1(X0)))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.42 fof(f31,plain,(
% 0.11/0.42 ![X0]: (t(X0,u1r1(X0))|~t2least(X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.42 fof(f32,plain,(
% 0.11/0.42 ![X0]: (t(X0,u1r2(X0))|~t2least(X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.42 fof(f35,plain,(
% 0.11/0.42 ![X0]: (t1most(X0)|~d(X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.42 fof(f37,plain,(
% 0.11/0.42 ![X2,X1]: ((![X3]: ((equalish(X3,X2)|~t1most(X1))|~t(X1,X3)))|~t(X1,X2))),
% 0.11/0.42 inference(miniscoping,[status(thm)],[f10])).
% 0.11/0.42 fof(f38,plain,(
% 0.11/0.42 ![X0,X1,X2]: (equalish(X0,X1)|~t1most(X2)|~t(X2,X0)|~t(X2,X1))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f37])).
% 0.11/0.42 fof(f42,plain,(
% 0.11/0.42 ![X0]: (r(X0,u4r4(X0))|~e(X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.42 fof(f43,plain,(
% 0.11/0.42 ![X0,X1]: (s(X0,X1)|~e(X0)|~r(X0,X1))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.42 fof(f45,plain,(
% 0.11/0.42 ![X0,X1]: (d(X0)|~e(X1)|~s(X1,X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.42 fof(f46,plain,(
% 0.11/0.42 ![X0,X1]: (c(X0)|~e(X1)|~r(X1,X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.42 fof(f68,definition,(
% 0.11/0.42 sQ1_spl <=> (e(exist))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f70,plain,(
% 0.11/0.42 ~e(exist)|sQ1_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f68])).
% 0.11/0.42 fof(f74,plain,(
% 0.11/0.42 ![X0]: (d(X0)|~s(exist,X0))),
% 0.11/0.42 inference(resolution,[status(thm)],[f45,f27])).
% 0.11/0.42 fof(f75,plain,(
% 0.11/0.42 ![X0]: (d(X0)|~e(exist)|~r(exist,X0))),
% 0.11/0.42 inference(resolution,[status(thm)],[f74,f43])).
% 0.11/0.42 fof(f76,definition,(
% 0.11/0.42 ![X0]: (sQ2_spl <=> (d(X0)|~r(exist,X0)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f77,plain,(
% 0.11/0.42 ![X0]: (d(X0)|~r(exist,X0)|~sQ2_spl)),
% 0.11/0.42 inference(component_clause,[status(thm)],[f76])).
% 0.11/0.42 fof(f79,plain,(
% 0.11/0.42 sQ2_spl|~sQ1_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f75,f76,f68])).
% 0.11/0.42 fof(f80,plain,(
% 0.11/0.42 $false|sQ1_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f70,f27])).
% 0.11/0.42 fof(f81,plain,(
% 0.11/0.42 sQ1_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f80])).
% 0.11/0.42 fof(f82,plain,(
% 0.11/0.42 d(u4r4(exist))|~e(exist)|~sQ2_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f77,f42])).
% 0.11/0.42 fof(f83,definition,(
% 0.11/0.42 sQ3_spl <=> (d(u4r4(exist)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f84,plain,(
% 0.11/0.42 d(u4r4(exist))|~sQ3_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.42 fof(f86,plain,(
% 0.11/0.42 sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f82,f83,f68,f76])).
% 0.11/0.42 fof(f87,plain,(
% 0.11/0.42 t1most(u4r4(exist))|~sQ3_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f84,f35])).
% 0.11/0.42 fof(f89,plain,(
% 0.11/0.42 ![X0]: (c(X0)|~r(exist,X0))),
% 0.11/0.42 inference(resolution,[status(thm)],[f46,f27])).
% 0.11/0.42 fof(f90,plain,(
% 0.11/0.42 ![X0,X1]: (equalish(X0,X1)|~t(u4r4(exist),X0)|~t(u4r4(exist),X1)|~sQ3_spl)),
% 0.11/0.42 inference(resolution,[status(thm)],[f38,f87])).
% 0.11/0.42 fof(f91,plain,(
% 0.11/0.42 c(u4r4(exist))|~e(exist)),
% 0.11/0.42 inference(resolution,[status(thm)],[f89,f42])).
% 0.11/0.42 fof(f92,definition,(
% 0.11/0.42 sQ4_spl <=> (c(u4r4(exist)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f93,plain,(
% 0.11/0.42 c(u4r4(exist))|~sQ4_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f92])).
% 0.11/0.42 fof(f95,plain,(
% 0.11/0.42 sQ4_spl|~sQ1_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f91,f92,f68])).
% 0.11/0.42 fof(f96,plain,(
% 0.11/0.42 t2least(u4r4(exist))|~sQ4_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f93,f28])).
% 0.11/0.42 fof(f97,plain,(
% 0.11/0.42 t(u4r4(exist),u1r2(u4r4(exist)))|~sQ4_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f96,f32])).
% 0.11/0.42 fof(f98,plain,(
% 0.11/0.42 t(u4r4(exist),u1r1(u4r4(exist)))|~sQ4_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f96,f31])).
% 0.11/0.42 fof(f101,definition,(
% 0.11/0.42 sQ5_spl <=> (t2least(u4r4(exist)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f103,plain,(
% 0.11/0.42 ~t2least(u4r4(exist))|sQ5_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f101])).
% 0.11/0.42 fof(f114,plain,(
% 0.11/0.42 ![X0]: (~t(u4r4(exist),u1r2(X0))|~t(u4r4(exist),u1r1(X0))|~t2least(X0)|~sQ3_spl)),
% 0.11/0.42 inference(resolution,[status(thm)],[f90,f30])).
% 0.11/0.42 fof(f124,plain,(
% 0.11/0.42 ~t(u4r4(exist),u1r2(u4r4(exist)))|~t2least(u4r4(exist))|~sQ3_spl|~sQ4_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f114,f98])).
% 0.11/0.42 fof(f125,definition,(
% 0.11/0.42 sQ10_spl <=> (t(u4r4(exist),u1r2(u4r4(exist))))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f127,plain,(
% 0.11/0.42 ~t(u4r4(exist),u1r2(u4r4(exist)))|sQ10_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f125])).
% 0.11/0.42 fof(f128,plain,(
% 0.11/0.42 ~sQ10_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f124,f125,f101,f83,f92])).
% 0.11/0.42 fof(f129,plain,(
% 0.11/0.42 $false|~sQ4_spl|sQ10_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f127,f97])).
% 0.11/0.42 fof(f130,plain,(
% 0.11/0.42 ~sQ4_spl|sQ10_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f129])).
% 0.11/0.42 fof(f131,plain,(
% 0.11/0.42 $false|~sQ4_spl|sQ5_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f103,f96])).
% 0.11/0.42 fof(f132,plain,(
% 0.11/0.42 ~sQ4_spl|sQ5_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f131])).
% 0.11/0.42 fof(f133,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 inference(sat_refutation,[status(thm)],[f79,f81,f86,f95,f128,f130,f132])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.45 % Elapsed time: 0.051029 seconds
% 0.11/0.45 % CPU time: 0.117319 seconds
% 0.11/0.45 % Total memory used: 17.350 MB
% 0.11/0.45 % Net memory used: 17.054 MB
%------------------------------------------------------------------------------