%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 03:20:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n006.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Mon Sep 21 11:11:19 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.13/5.40 % Refutation found
% 0.13/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.40 fof(f5,negated_conjecture,(
% 0.13/5.40 (![X65]: (p3(X65,X65) ))),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f14,negated_conjecture,(
% 0.13/5.40 p2(c27,c30) ),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f15,negated_conjecture,(
% 0.13/5.40 p26(c31,c30) ),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f16,negated_conjecture,(
% 0.13/5.40 ~ p24(f4(c27,c28),c29) ),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f30,negated_conjecture,(
% 0.13/5.40 (![X56,X57]: (( p24(f4(c30,X56),X57)| ~ p24(f4(f6(c32,c30),X56),X57) ) ))),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f43,negated_conjecture,(
% 0.13/5.40 (![X52,X54,X55,X53]: (( p24(X52,c29)| ~ p3(X52,X54)| ~ p2(X55,X53)| ~ p26(c31,X53)| ~ p3(X54,f4(X55,c28))| ~ p24(f4(X53,f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53)) ) ))),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f44,negated_conjecture,(
% 0.13/5.40 (![X52,X53,X54,X55]: (( p24(X52,c29)| p24(f4(f6(c32,X53),f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53))| ~ p3(X52,X54)| ~ p2(X55,X53)| ~ p26(c31,X53)| ~ p3(X54,f4(X55,c28)) ) ))),
% 0.13/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f49,plain,(
% 0.13/5.40 ![X0]: (p3(X0,X0))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/5.40 fof(f58,plain,(
% 0.13/5.40 p2(c27,c30)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/5.40 fof(f59,plain,(
% 0.13/5.40 p26(c31,c30)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/5.40 fof(f60,plain,(
% 0.13/5.40 ~p24(f4(c27,c28),c29)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/5.40 fof(f87,plain,(
% 0.13/5.40 ![X0,X1]: (p24(f4(c30,X0),X1)|~p24(f4(f6(c32,c30),X0),X1))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/5.40 fof(f112,plain,(
% 0.13/5.40 ![X0,X1,X2,X3]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,X3)|~p26(c31,X3)|~p3(X1,f4(X2,c28))|~p24(f4(X3,f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3)))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/5.40 fof(f113,plain,(
% 0.13/5.40 ![X54,X55]: ((![X53]: (((![X52]: ((p24(X52,c29)|p24(f4(f6(c32,X53),f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53)))|~p3(X52,X54)))|~p2(X55,X53))|~p26(c31,X53)))|~p3(X54,f4(X55,c28)))),
% 0.13/5.40 inference(miniscoping,[status(thm)],[f44])).
% 0.13/5.40 fof(f114,plain,(
% 0.13/5.40 ![X0,X1,X2,X3]: (p24(X0,c29)|p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,X0),X2),X3),X1)),f9(f11(f13(f15(c34,X0),X2),X3),X1))|~p3(X0,X2)|~p2(X3,X1)|~p26(c31,X1)|~p3(X2,f4(X3,c28)))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f113])).
% 0.13/5.40 fof(f115,plain,(
% 0.13/5.40 ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p26(c31,c30)|~p3(X1,f4(X2,c28))|p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30)))),
% 0.13/5.40 inference(resolution,[status(thm)],[f114,f87])).
% 0.13/5.40 fof(f117,definition,(
% 0.13/5.40 ![X0,X1,X2]: (sQ0_spl <=> (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))))),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f118,plain,(
% 0.13/5.40 ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))|~sQ0_spl)),
% 0.13/5.40 inference(component_clause,[status(thm)],[f117])).
% 0.13/5.40 fof(f120,definition,(
% 0.13/5.40 sQ1_spl <=> (p26(c31,c30))),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f122,plain,(
% 0.13/5.40 ~p26(c31,c30)|sQ1_spl),
% 0.13/5.40 inference(component_clause,[status(thm)],[f120])).
% 0.13/5.40 fof(f123,plain,(
% 0.13/5.40 sQ0_spl|~sQ1_spl),
% 0.13/5.40 inference(split_clause,[status(thm)],[f115,f117,f120])).
% 0.13/5.40 fof(f124,plain,(
% 0.13/5.40 ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p26(c31,c30)|~p3(X1,f4(X2,c28))|~sQ0_spl)),
% 0.13/5.40 inference(resolution,[status(thm)],[f118,f112])).
% 0.13/5.40 fof(f126,definition,(
% 0.13/5.40 ![X0,X1,X2]: (sQ2_spl <=> (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f127,plain,(
% 0.13/5.41 ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|~sQ2_spl)),
% 0.13/5.41 inference(component_clause,[status(thm)],[f126])).
% 0.13/5.41 fof(f129,plain,(
% 0.13/5.41 sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f124,f126,f120,f117])).
% 0.13/5.41 fof(f130,plain,(
% 0.13/5.41 $false|sQ1_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f122,f59])).
% 0.13/5.41 fof(f131,plain,(
% 0.13/5.41 sQ1_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f130])).
% 0.13/5.41 fof(f132,plain,(
% 0.13/5.41 ![X0,X1,X2]: (p24(X0,c29)|~p3(X0,X1)|~p2(X2,c30)|~p3(X1,f4(X2,c28))|~sQ2_spl)),
% 0.13/5.41 inference(duplicate_literals_removal,[status(thm)],[f127])).
% 0.13/5.41 fof(f139,plain,(
% 0.13/5.41 ![X0,X1]: (~p3(f4(c27,c28),X0)|~p2(X1,c30)|~p3(X0,f4(X1,c28))|~sQ2_spl)),
% 0.13/5.41 inference(resolution,[status(thm)],[f132,f60])).
% 0.13/5.41 fof(f141,plain,(
% 0.13/5.41 ![X0]: (~p3(f4(c27,c28),X0)|~p3(X0,f4(c27,c28))|~sQ2_spl)),
% 0.13/5.41 inference(resolution,[status(thm)],[f139,f58])).
% 0.13/5.41 fof(f146,plain,(
% 0.13/5.41 ~p3(f4(c27,c28),f4(c27,c28))|~sQ2_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f141,f49])).
% 0.13/5.41 fof(f148,plain,(
% 0.13/5.41 $false|~sQ2_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f146,f49])).
% 0.13/5.41 fof(f149,plain,(
% 0.13/5.41 ~sQ2_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f148])).
% 0.13/5.41 fof(f150,plain,(
% 0.13/5.41 $false),
% 0.13/5.41 inference(sat_refutation,[status(thm)],[f123,f129,f131,f149])).
% 0.13/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.043392 seconds
% 0.13/5.43 % CPU time: 0.132876 seconds
% 0.13/5.43 % Total memory used: 18.600 MB
% 0.13/5.43 % Net memory used: 18.466 MB
%------------------------------------------------------------------------------