%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN612-1 : 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 : n011.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 03:20:14 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN612-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.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 11:10:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f2,negated_conjecture,(
% 0.13/0.40 (![X11]: (p2(X11,X11) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,negated_conjecture,(
% 0.13/0.40 (![X18]: (p3(X18,X18) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,negated_conjecture,(
% 0.13/0.40 (![X16,X17]: (( p2(f9(X16),f9(X17))| ~ p3(X16,X17) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,negated_conjecture,(
% 0.13/0.40 (![X19,X20,X18]: (( p3(X19,X20)| ~ p3(X18,X19)| ~ p3(X18,X20) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,negated_conjecture,(
% 0.13/0.40 (![X2,X3,X4,X5]: (( p17(X2,X3)| ~ p2(X4,X2)| ~ p2(X5,X3)| ~ p17(X4,X5) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,negated_conjecture,(
% 0.13/0.40 p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,negated_conjecture,(
% 0.13/0.40 (![X21,X22,X23,X24]: (( p3(f10(X21,X22),f10(X23,X24))| ~ p3(X21,X23)| ~ p3(X22,X24) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f28,negated_conjecture,(
% 0.13/0.40 (![X50]: (~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f29,negated_conjecture,(
% 0.13/0.40 p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 ![X0]: (p2(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 ![X0]: (p3(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 ![X0,X1]: (p2(f9(X0),f9(X1))|~p3(X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 ![X20,X18]: ((![X19]: (p3(X19,X20)|~p3(X18,X19)))|~p3(X18,X20))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f19])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 ![X4,X5]: ((![X3]: ((![X2]: (p17(X2,X3)|~p2(X4,X2)))|~p2(X5,X3)))|~p17(X4,X5))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f20])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (p17(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p17(X2,X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f53])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20)))))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 ![X22,X24]: ((![X21,X23]: (p3(f10(X21,X22),f10(X23,X24))|~p3(X21,X23)))|~p3(X22,X24))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (p3(f10(X0,X1),f10(X2,X3))|~p3(X0,X2)|~p3(X1,X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 ![X0]: (~p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20))))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.40 fof(f93,plain,(
% 0.13/0.40 ![X0,X1]: (p17(X0,X1)|~p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),X0)|~p2(f6(f7(f8(c20))),X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f68,f54])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 ![X0]: (~p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))|~p2(f6(f7(f8(c20))),f6(f7(f8(c20)))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f93,f67])).
% 0.13/0.40 fof(f102,definition,(
% 0.13/0.40 ![X0]: (sQ2_spl <=> (~p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 ![X0]: (~p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))|~sQ2_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f102])).
% 0.13/0.40 fof(f105,definition,(
% 0.13/0.40 sQ3_spl <=> (p2(f6(f7(f8(c20))),f6(f7(f8(c20)))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f107,plain,(
% 0.13/0.40 ~p2(f6(f7(f8(c20))),f6(f7(f8(c20))))|sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.40 fof(f108,plain,(
% 0.13/0.40 sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f100,f102,f105])).
% 0.13/0.40 fof(f124,plain,(
% 0.13/0.40 ![X0]: (~p3(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20))))),f10(f14(f4(f9(c19)),c19),f12(X0,c21)))|~sQ2_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f103,f42])).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 ![X0]: (~p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))|~p3(f4(f6(f7(f8(c20)))),f12(X0,c21))|~sQ2_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f124,f61])).
% 0.13/0.40 fof(f142,definition,(
% 0.13/0.40 sQ8_spl <=> (p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f144,plain,(
% 0.13/0.40 ~p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))|sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.40 fof(f145,definition,(
% 0.13/0.40 ![X0]: (sQ9_spl <=> (~p3(f4(f6(f7(f8(c20)))),f12(X0,c21))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 ![X0]: (~p3(f4(f6(f7(f8(c20)))),f12(X0,c21))|~sQ9_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ~sQ8_spl|sQ9_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f140,f142,f145,f102])).
% 0.13/0.40 fof(f149,plain,(
% 0.13/0.40 $false|sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f107,f32])).
% 0.13/0.40 fof(f150,plain,(
% 0.13/0.40 sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f149])).
% 0.13/0.40 fof(f151,plain,(
% 0.13/0.40 $false|sQ8_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f144,f34])).
% 0.13/0.40 fof(f152,plain,(
% 0.13/0.40 sQ8_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f151])).
% 0.13/0.40 fof(f153,plain,(
% 0.13/0.40 ![X0,X1]: (~p3(X0,f4(f6(f7(f8(c20)))))|~p3(X0,f12(X1,c21))|~sQ9_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f146,f52])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 ![X0]: (~p3(f12(X0,c21),f4(f6(f7(f8(c20)))))|~sQ9_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f153,f34])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 $false|~sQ9_spl),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f57,f156])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 ~sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f162])).
% 0.13/0.40 fof(f165,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f108,f148,f150,f152,f164])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.047400 seconds
% 0.13/0.42 % CPU time: 0.186198 seconds
% 0.13/0.42 % Total memory used: 17.160 MB
% 0.13/0.42 % Net memory used: 16.764 MB
%------------------------------------------------------------------------------