%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN614-1 : 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 : n013.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 2.03s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN614-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:09:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 2.03/0.71 % Refutation found
% 2.03/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.03/0.71 % SZS output start CNFRefutation for theBenchmark
% 2.03/0.71 fof(f2,negated_conjecture,(
% 2.03/0.71 (![X43]: (p7(X43,X43) ))),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f6,negated_conjecture,(
% 2.03/0.71 p19(c23,f3(f4(f5(c22)))) ),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f7,negated_conjecture,(
% 2.03/0.71 p20(c24,f6(f3(f4(f5(c22))),c21)) ),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f13,negated_conjecture,(
% 2.03/0.71 p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f15,negated_conjecture,(
% 2.03/0.71 (![X44,X45,X43]: (( p7(X44,X45)| ~ p7(X43,X44)| ~ p7(X43,X45) ) ))),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f18,negated_conjecture,(
% 2.03/0.71 p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24) ),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f23,negated_conjecture,(
% 2.03/0.71 (![X54,X55,X56,X57]: (( p7(f8(X54,X55),f8(X56,X57))| ~ p7(X54,X56)| ~ p7(X55,X57) ) ))),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f24,negated_conjecture,(
% 2.03/0.71 (![X46,X47,X48,X49]: (( p7(f10(X46,X47),f10(X48,X49))| ~ p2(X47,X49)| ~ p7(X46,X48) ) ))),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f29,negated_conjecture,(
% 2.03/0.71 p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f31,negated_conjecture,(
% 2.03/0.71 (![X62,X63]: (( ~ p19(X62,f3(f4(f5(c22))))| ~ p20(X63,f6(f3(f4(f5(c22))),c21))| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X63)| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27))))) ) ))),
% 2.03/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.03/0.71 fof(f33,plain,(
% 2.03/0.71 ![X0]: (p7(X0,X0))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f2])).
% 2.03/0.71 fof(f37,plain,(
% 2.03/0.71 p19(c23,f3(f4(f5(c22))))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f6])).
% 2.03/0.71 fof(f38,plain,(
% 2.03/0.71 p20(c24,f6(f3(f4(f5(c22))),c21))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f7])).
% 2.03/0.71 fof(f44,plain,(
% 2.03/0.71 p2(c26,f14(f16(c28,f17(c21,c27)),c25))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f13])).
% 2.03/0.71 fof(f47,plain,(
% 2.03/0.71 ![X45,X43]: ((![X44]: (p7(X44,X45)|~p7(X43,X44)))|~p7(X43,X45))),
% 2.03/0.71 inference(miniscoping,[status(thm)],[f15])).
% 2.03/0.71 fof(f48,plain,(
% 2.03/0.71 ![X0,X1,X2]: (p7(X0,X1)|~p7(X2,X0)|~p7(X2,X1))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f47])).
% 2.03/0.71 fof(f53,plain,(
% 2.03/0.71 p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24)),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f18])).
% 2.03/0.71 fof(f62,plain,(
% 2.03/0.71 ![X55,X57]: ((![X54,X56]: (p7(f8(X54,X55),f8(X56,X57))|~p7(X54,X56)))|~p7(X55,X57))),
% 2.03/0.71 inference(miniscoping,[status(thm)],[f23])).
% 2.03/0.71 fof(f63,plain,(
% 2.03/0.71 ![X0,X1,X2,X3]: (p7(f8(X0,X1),f8(X2,X3))|~p7(X0,X2)|~p7(X1,X3))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f62])).
% 2.03/0.71 fof(f64,plain,(
% 2.03/0.71 ![X46,X48]: ((![X47,X49]: (p7(f10(X46,X47),f10(X48,X49))|~p2(X47,X49)))|~p7(X46,X48))),
% 2.03/0.71 inference(miniscoping,[status(thm)],[f24])).
% 2.03/0.71 fof(f65,plain,(
% 2.03/0.71 ![X0,X1,X2,X3]: (p7(f10(X0,X1),f10(X2,X3))|~p2(X1,X3)|~p7(X0,X2))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f64])).
% 2.03/0.71 fof(f74,plain,(
% 2.03/0.71 p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f29])).
% 2.03/0.71 fof(f76,plain,(
% 2.03/0.71 ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p20(X1,f6(f3(f4(f5(c22))),c21))|~p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X1)|~p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))))),
% 2.03/0.71 inference(cnf_transformation,[status(thm)],[f31])).
% 2.03/0.71 fof(f167,plain,(
% 2.03/0.71 ![X0,X1,X2]: (~p19(X0,f3(f4(f5(c22))))|~p20(X1,f6(f3(f4(f5(c22))),c21))|~p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X1)|~p7(X2,c25)|~p7(X2,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))))),
% 2.03/0.71 inference(resolution,[status(thm)],[f76,f48])).
% 2.03/0.71 fof(f168,plain,(
% 2.03/0.71 ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24)|~p7(X1,c25)|~p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))))),
% 2.03/0.71 inference(resolution,[status(thm)],[f167,f38])).
% 2.03/0.71 fof(f172,definition,(
% 2.03/0.71 ![X0,X1]: (sQ4_spl <=> (~p19(X0,f3(f4(f5(c22))))|~p7(X1,c25)|~p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))))),
% 2.03/0.71 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 2.03/0.71 fof(f173,plain,(
% 2.03/0.71 ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p7(X1,c25)|~p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~sQ4_spl)),
% 2.03/0.71 inference(component_clause,[status(thm)],[f172])).
% 2.03/0.71 fof(f175,definition,(
% 2.03/0.71 sQ5_spl <=> (p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24))),
% 2.03/0.71 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 2.03/0.71 fof(f177,plain,(
% 2.03/0.71 ~p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24)|sQ5_spl),
% 2.03/0.71 inference(component_clause,[status(thm)],[f175])).
% 2.03/0.71 fof(f178,plain,(
% 2.03/0.71 sQ4_spl|~sQ5_spl),
% 2.03/0.71 inference(split_clause,[status(thm)],[f168,f172,f175])).
% 2.03/0.71 fof(f204,plain,(
% 2.03/0.71 ![X0]: (~p7(X0,c25)|~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~sQ4_spl)),
% 2.03/0.71 inference(resolution,[status(thm)],[f173,f37])).
% 2.03/0.71 fof(f217,plain,(
% 2.03/0.71 ![X0,X1]: (~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~p7(X1,X0)|~p7(X1,c25)|~sQ4_spl)),
% 2.03/0.71 inference(resolution,[status(thm)],[f204,f48])).
% 2.03/0.71 fof(f245,plain,(
% 2.03/0.71 ![X0]: (~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~p7(c25,X0)|~sQ4_spl)),
% 2.03/0.71 inference(resolution,[status(thm)],[f217,f33])).
% 2.03/0.71 fof(f280,plain,(
% 2.03/0.71 ~p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~sQ4_spl),
% 2.03/0.71 inference(resolution,[status(thm)],[f245,f74])).
% 2.03/0.71 fof(f339,plain,(
% 2.03/0.71 ~p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))|~p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))|~sQ4_spl),
% 2.03/0.71 inference(resolution,[status(thm)],[f280,f63])).
% 2.03/0.71 fof(f341,definition,(
% 2.03/0.71 sQ11_spl <=> (p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)))),
% 2.03/0.71 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 2.03/0.71 fof(f343,plain,(
% 2.03/0.71 ~p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))|sQ11_spl),
% 2.03/0.71 inference(component_clause,[status(thm)],[f341])).
% 2.03/0.71 fof(f344,definition,(
% 2.03/0.71 sQ12_spl <=> (p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))),
% 2.03/0.71 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 2.03/0.71 fof(f346,plain,(
% 2.03/0.71 ~p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))|sQ12_spl),
% 2.03/0.71 inference(component_clause,[status(thm)],[f344])).
% 2.03/0.71 fof(f347,plain,(
% 2.03/0.71 ~sQ11_spl|~sQ12_spl|~sQ4_spl),
% 2.03/0.71 inference(split_clause,[status(thm)],[f339,f341,f344,f172])).
% 2.03/0.71 fof(f348,plain,(
% 2.03/0.71 $false|sQ11_spl),
% 2.03/0.71 inference(forward_subsumption_resolution,[status(thm)],[f343,f33])).
% 2.03/0.71 fof(f349,plain,(
% 2.03/0.71 sQ11_spl),
% 2.03/0.71 inference(contradiction_clause,[status(thm)],[f348])).
% 2.03/0.71 fof(f350,plain,(
% 2.03/0.72 $false|sQ5_spl),
% 2.03/0.72 inference(forward_subsumption_resolution,[status(thm)],[f177,f53])).
% 2.03/0.72 fof(f351,plain,(
% 2.03/0.72 sQ5_spl),
% 2.03/0.72 inference(contradiction_clause,[status(thm)],[f350])).
% 2.03/0.72 fof(f473,plain,(
% 2.03/0.72 ~p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))|~p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))|sQ12_spl),
% 2.03/0.72 inference(resolution,[status(thm)],[f346,f63])).
% 2.03/0.72 fof(f475,definition,(
% 2.03/0.72 sQ20_spl <=> (p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))))),
% 2.03/0.72 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 2.03/0.72 fof(f477,plain,(
% 2.03/0.72 ~p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))|sQ20_spl),
% 2.03/0.72 inference(component_clause,[status(thm)],[f475])).
% 2.03/0.72 fof(f478,definition,(
% 2.03/0.72 sQ21_spl <=> (p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
% 2.03/0.72 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 2.03/0.72 fof(f480,plain,(
% 2.03/0.72 ~p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))|sQ21_spl),
% 2.03/0.72 inference(component_clause,[status(thm)],[f478])).
% 2.03/0.72 fof(f481,plain,(
% 2.03/0.72 ~sQ20_spl|~sQ21_spl|sQ12_spl),
% 2.03/0.72 inference(split_clause,[status(thm)],[f473,f475,f478,f344])).
% 2.03/0.72 fof(f482,plain,(
% 2.03/0.72 ~p2(c26,f14(f16(c28,f17(c21,c27)),c25))|~p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))|sQ20_spl),
% 2.03/0.72 inference(resolution,[status(thm)],[f477,f65])).
% 2.03/0.72 fof(f484,definition,(
% 2.03/0.72 sQ22_spl <=> (p2(c26,f14(f16(c28,f17(c21,c27)),c25)))),
% 2.03/0.72 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 2.03/0.72 fof(f486,plain,(
% 2.03/0.72 ~p2(c26,f14(f16(c28,f17(c21,c27)),c25))|sQ22_spl),
% 2.03/0.72 inference(component_clause,[status(thm)],[f484])).
% 2.03/0.72 fof(f487,definition,(
% 2.03/0.72 sQ23_spl <=> (p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22))))))),
% 2.03/0.72 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 2.03/0.72 fof(f489,plain,(
% 2.03/0.72 ~p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))|sQ23_spl),
% 2.03/0.72 inference(component_clause,[status(thm)],[f487])).
% 2.03/0.72 fof(f490,plain,(
% 2.03/0.72 ~sQ22_spl|~sQ23_spl|sQ20_spl),
% 2.03/0.72 inference(split_clause,[status(thm)],[f482,f484,f487,f475])).
% 2.03/0.72 fof(f491,plain,(
% 2.03/0.72 $false|sQ21_spl),
% 2.03/0.72 inference(forward_subsumption_resolution,[status(thm)],[f480,f33])).
% 2.03/0.72 fof(f492,plain,(
% 2.03/0.72 sQ21_spl),
% 2.03/0.72 inference(contradiction_clause,[status(thm)],[f491])).
% 2.03/0.72 fof(f493,plain,(
% 2.03/0.72 $false|sQ22_spl),
% 2.03/0.72 inference(forward_subsumption_resolution,[status(thm)],[f486,f44])).
% 2.03/0.72 fof(f494,plain,(
% 2.03/0.72 sQ22_spl),
% 2.03/0.72 inference(contradiction_clause,[status(thm)],[f493])).
% 2.03/0.72 fof(f495,plain,(
% 2.03/0.72 $false|sQ23_spl),
% 2.03/0.72 inference(forward_subsumption_resolution,[status(thm)],[f489,f33])).
% 2.03/0.72 fof(f496,plain,(
% 2.03/0.72 sQ23_spl),
% 2.03/0.72 inference(contradiction_clause,[status(thm)],[f495])).
% 2.03/0.72 fof(f497,plain,(
% 2.03/0.72 $false),
% 2.03/0.72 inference(sat_refutation,[status(thm)],[f178,f347,f349,f351,f481,f490,f492,f494,f496])).
% 2.03/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 2.03/0.73 % Elapsed time: 0.366094 seconds
% 2.03/0.73 % CPU time: 2.544931 seconds
% 2.03/0.73 % Total memory used: 91.617 MB
% 2.03/0.73 % Net memory used: 86.677 MB
%------------------------------------------------------------------------------