%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN639-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 03:20:16 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN639-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:12:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.51 % Refutation found
% 0.09/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.51 fof(f5,negated_conjecture,(
% 0.09/0.51 (![X16]: (p2(X16,X16) ))),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f7,negated_conjecture,(
% 0.09/0.51 ~ p20(f17(c25),f17(c22)) ),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f9,negated_conjecture,(
% 0.09/0.51 p2(f12(f11(c25)),f7(c24)) ),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f10,negated_conjecture,(
% 0.09/0.51 p2(f12(f11(c22)),f7(c24)) ),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f12,negated_conjecture,(
% 0.09/0.51 p19(f13(f11(c23)),f13(f11(c22))) ),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f26,negated_conjecture,(
% 0.09/0.51 (![X17,X18,X16]: (( p2(X17,X18)| ~ p2(X16,X17)| ~ p2(X16,X18) ) ))),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f28,negated_conjecture,(
% 0.09/0.51 (![X12,X13,X14,X15]: (( p19(X12,X13)| ~ p2(X14,X12)| ~ p2(X15,X13)| ~ p19(X14,X15) ) ))),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f33,negated_conjecture,(
% 0.09/0.51 p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f34,negated_conjecture,(
% 0.09/0.51 p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f35,negated_conjecture,(
% 0.09/0.51 (![X35,X36]: (( p20(f17(X35),f17(X36))| ~ p2(f12(f11(X36)),f7(c24))| ~ p2(f12(f11(X35)),f7(c24))| ~ p19(f13(f11(X35)),f13(f11(X36))) ) ))),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f47,plain,(
% 0.09/0.51 ![X0]: (p2(X0,X0))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.51 fof(f49,plain,(
% 0.09/0.51 ~p20(f17(c25),f17(c22))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.51 fof(f51,plain,(
% 0.09/0.51 p2(f12(f11(c25)),f7(c24))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.51 fof(f52,plain,(
% 0.09/0.51 p2(f12(f11(c22)),f7(c24))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.51 fof(f54,plain,(
% 0.09/0.51 p19(f13(f11(c23)),f13(f11(c22)))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.51 fof(f71,plain,(
% 0.09/0.51 ![X18,X16]: ((![X17]: (p2(X17,X18)|~p2(X16,X17)))|~p2(X16,X18))),
% 0.09/0.51 inference(miniscoping,[status(thm)],[f26])).
% 0.09/0.51 fof(f72,plain,(
% 0.09/0.51 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f71])).
% 0.09/0.51 fof(f75,plain,(
% 0.09/0.51 ![X14,X15]: ((![X13]: ((![X12]: (p19(X12,X13)|~p2(X14,X12)))|~p2(X15,X13)))|~p19(X14,X15))),
% 0.09/0.51 inference(miniscoping,[status(thm)],[f28])).
% 0.09/0.51 fof(f76,plain,(
% 0.09/0.51 ![X0,X1,X2,X3]: (p19(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p19(X2,X3))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f75])).
% 0.09/0.51 fof(f85,plain,(
% 0.09/0.51 p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.51 fof(f86,plain,(
% 0.09/0.51 p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.51 fof(f87,plain,(
% 0.09/0.51 ![X0,X1]: (p20(f17(X0),f17(X1))|~p2(f12(f11(X1)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p19(f13(f11(X0)),f13(f11(X1))))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.51 fof(f115,plain,(
% 0.09/0.51 ![X0,X1,X2,X3]: (p20(f17(X0),f17(X1))|~p2(f12(f11(X1)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p2(X2,f13(f11(X0)))|~p2(X3,f13(f11(X1)))|~p19(X2,X3))),
% 0.09/0.51 inference(resolution,[status(thm)],[f87,f76])).
% 0.09/0.51 fof(f119,definition,(
% 0.09/0.51 sQ1_spl <=> (p2(f12(f11(c22)),f7(c24)))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f121,plain,(
% 0.09/0.51 ~p2(f12(f11(c22)),f7(c24))|sQ1_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f119])).
% 0.09/0.51 fof(f169,plain,(
% 0.09/0.51 ![X0,X1,X2,X3,X4,X5]: (p20(f17(X0),f17(X1))|~p2(f12(f11(X1)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p2(X2,f13(f11(X0)))|~p2(X3,f13(f11(X1)))|~p2(X4,X2)|~p2(X5,X3)|~p19(X4,X5))),
% 0.09/0.51 inference(resolution,[status(thm)],[f115,f76])).
% 0.09/0.51 fof(f177,plain,(
% 0.09/0.51 ![X0,X1,X2,X3]: (p20(f17(X0),f17(X1))|~p2(f12(f11(X1)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p2(X2,f13(f11(X0)))|~p2(X3,f13(f11(X1)))|~p2(f13(f11(c23)),X2)|~p2(f13(f11(c22)),X3))),
% 0.09/0.51 inference(resolution,[status(thm)],[f169,f54])).
% 0.09/0.52 fof(f191,plain,(
% 0.09/0.52 $false|sQ1_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f121,f52])).
% 0.09/0.52 fof(f192,plain,(
% 0.09/0.52 sQ1_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f191])).
% 0.09/0.52 fof(f222,plain,(
% 0.09/0.52 ![X0,X1]: (~p2(f12(f11(c22)),f7(c24))|~p2(f12(f11(c25)),f7(c24))|~p2(X0,f13(f11(c25)))|~p2(X1,f13(f11(c22)))|~p2(f13(f11(c23)),X0)|~p2(f13(f11(c22)),X1))),
% 0.09/0.52 inference(resolution,[status(thm)],[f177,f49])).
% 0.09/0.52 fof(f231,definition,(
% 0.09/0.52 sQ8_spl <=> (p2(f12(f11(c25)),f7(c24)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f233,plain,(
% 0.09/0.52 ~p2(f12(f11(c25)),f7(c24))|sQ8_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f231])).
% 0.09/0.52 fof(f234,definition,(
% 0.09/0.52 ![X0]: (sQ9_spl <=> (~p2(X0,f13(f11(c25)))|~p2(f13(f11(c23)),X0)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f235,plain,(
% 0.09/0.52 ![X0]: (~p2(X0,f13(f11(c25)))|~p2(f13(f11(c23)),X0)|~sQ9_spl)),
% 0.09/0.52 inference(component_clause,[status(thm)],[f234])).
% 0.09/0.52 fof(f237,definition,(
% 0.09/0.52 ![X1]: (sQ10_spl <=> (~p2(X1,f13(f11(c22)))|~p2(f13(f11(c22)),X1)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f238,plain,(
% 0.09/0.52 ![X0]: (~p2(X0,f13(f11(c22)))|~p2(f13(f11(c22)),X0)|~sQ10_spl)),
% 0.09/0.52 inference(component_clause,[status(thm)],[f237])).
% 0.09/0.52 fof(f240,plain,(
% 0.09/0.52 ~sQ1_spl|~sQ8_spl|sQ9_spl|sQ10_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f222,f119,f231,f234,f237])).
% 0.09/0.52 fof(f336,plain,(
% 0.09/0.52 $false|sQ8_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f233,f51])).
% 0.09/0.52 fof(f337,plain,(
% 0.09/0.52 sQ8_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f336])).
% 0.09/0.52 fof(f393,plain,(
% 0.09/0.52 ![X0,X1]: (~p2(f13(f11(c23)),X0)|~p2(X1,X0)|~p2(X1,f13(f11(c25)))|~sQ9_spl)),
% 0.09/0.52 inference(resolution,[status(thm)],[f235,f72])).
% 0.09/0.52 fof(f679,plain,(
% 0.09/0.52 ![X0]: (~p2(f13(f11(c23)),X0)|~p2(f13(f11(c25)),X0)|~sQ9_spl)),
% 0.09/0.52 inference(resolution,[status(thm)],[f393,f47])).
% 0.09/0.52 fof(f680,plain,(
% 0.09/0.52 ~p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))|~sQ9_spl),
% 0.09/0.52 inference(resolution,[status(thm)],[f679,f85])).
% 0.09/0.52 fof(f684,plain,(
% 0.09/0.52 $false|~sQ9_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f680,f86])).
% 0.09/0.52 fof(f685,plain,(
% 0.09/0.52 ~sQ9_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f684])).
% 0.09/0.52 fof(f691,plain,(
% 0.09/0.52 ~p2(f13(f11(c22)),f13(f11(c22)))|~sQ10_spl),
% 0.09/0.52 inference(resolution,[status(thm)],[f238,f47])).
% 0.09/0.52 fof(f693,plain,(
% 0.09/0.52 $false|~sQ10_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f691,f47])).
% 0.09/0.52 fof(f694,plain,(
% 0.09/0.52 ~sQ10_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f693])).
% 0.09/0.52 fof(f695,plain,(
% 0.09/0.52 $false),
% 0.09/0.52 inference(sat_refutation,[status(thm)],[f192,f240,f337,f685,f694])).
% 0.09/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.54 % Elapsed time: 0.165736 seconds
% 0.09/0.54 % CPU time: 1.056900 seconds
% 0.09/0.54 % Total memory used: 82.316 MB
% 0.09/0.54 % Net memory used: 79.444 MB
%------------------------------------------------------------------------------