%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN630-1 : 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 : n015.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 03:20:15 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 11:13:36 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.52 % Refutation found
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.52 fof(f5,negated_conjecture,(
% 0.19/0.52 p21(c28,f9(f10(f11(c29)))) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f6,negated_conjecture,(
% 0.19/0.52 p21(c27,f12(f9(f10(f11(c29))),c24)) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f12,negated_conjecture,(
% 0.19/0.52 ~ p4(f5(f7(c23,f8(c24,c25)),c26),c27) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f17,negated_conjecture,(
% 0.19/0.52 p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f30,negated_conjecture,(
% 0.19/0.52 p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f34,negated_conjecture,(
% 0.19/0.52 (![X19,X20,X21,X18,X23,X22,X24]: (( p4(f5(f7(X19,f8(X20,X21)),X18),X23)| ~ p21(X22,f9(f10(f11(c29))))| ~ p21(X23,f12(f9(f10(f11(c29))),X20))| ~ p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)| ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))) ) ))),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f41,plain,(
% 0.19/0.52 p21(c28,f9(f10(f11(c29))))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/0.52 fof(f42,plain,(
% 0.19/0.52 p21(c27,f12(f9(f10(f11(c29))),c24))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f6])).
% 0.19/0.52 fof(f48,plain,(
% 0.19/0.52 ~p4(f5(f7(c23,f8(c24,c25)),c26),c27)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.52 fof(f57,plain,(
% 0.19/0.52 p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.19/0.52 fof(f82,plain,(
% 0.19/0.52 p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f30])).
% 0.19/0.52 fof(f89,plain,(
% 0.19/0.52 ![X21,X18,X23,X22]: ((![X20]: ((((![X19]: p4(f5(f7(X19,f8(X20,X21)),X18),X23))|~p21(X22,f9(f10(f11(c29)))))|~p21(X23,f12(f9(f10(f11(c29))),X20)))|~p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)))|(![X24]: ~p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21)))))))),
% 0.19/0.52 inference(miniscoping,[status(thm)],[f34])).
% 0.19/0.52 fof(f90,plain,(
% 0.19/0.52 ![X0,X1,X2,X3,X4,X5,X6]: (p4(f5(f7(X0,f8(X1,X2)),X3),X4)|~p21(X5,f9(f10(f11(c29))))|~p21(X4,f12(f9(f10(f11(c29))),X1))|~p22(f12(f9(f10(f11(c29))),f18(X1,f9(f11(c29)))),X4)|~p3(X3,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X4),f15(f16(f9(f10(f11(c29)))),X2))))))),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f89])).
% 0.19/0.52 fof(f100,definition,(
% 0.19/0.52 sQ1_spl <=> (p21(c27,f12(f9(f10(f11(c29))),c24)))),
% 0.19/0.52 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/0.52 fof(f102,plain,(
% 0.19/0.52 ~p21(c27,f12(f9(f10(f11(c29))),c24))|sQ1_spl),
% 0.19/0.52 inference(component_clause,[status(thm)],[f100])).
% 0.19/0.52 fof(f104,plain,(
% 0.19/0.52 ![X0,X1]: (~p21(X0,f9(f10(f11(c29))))|~p21(c27,f12(f9(f10(f11(c29))),c24))|~p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)|~p3(c26,f13(f15(f17(f16(f9(f11(c29)))),X0),f13(f15(f16(f9(f10(f11(c29)))),X1),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))))),
% 0.19/0.52 inference(resolution,[status(thm)],[f90,f48])).
% 0.19/0.52 fof(f105,definition,(
% 0.19/0.52 ![X0,X1]: (sQ2_spl <=> (~p21(X0,f9(f10(f11(c29))))|~p3(c26,f13(f15(f17(f16(f9(f11(c29)))),X0),f13(f15(f16(f9(f10(f11(c29)))),X1),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))))),
% 0.19/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.19/0.52 fof(f106,plain,(
% 0.19/0.52 ![X0,X1]: (~p21(X0,f9(f10(f11(c29))))|~p3(c26,f13(f15(f17(f16(f9(f11(c29)))),X0),f13(f15(f16(f9(f10(f11(c29)))),X1),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))|~sQ2_spl)),
% 0.19/0.52 inference(component_clause,[status(thm)],[f105])).
% 0.19/0.52 fof(f108,definition,(
% 0.19/0.52 sQ3_spl <=> (p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27))),
% 0.19/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.53 fof(f110,plain,(
% 0.19/0.53 ~p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)|sQ3_spl),
% 0.19/0.53 inference(component_clause,[status(thm)],[f108])).
% 0.19/0.53 fof(f111,plain,(
% 0.19/0.53 sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.19/0.53 inference(split_clause,[status(thm)],[f104,f105,f100,f108])).
% 0.19/0.53 fof(f112,plain,(
% 0.19/0.53 $false|sQ1_spl),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f102,f42])).
% 0.19/0.53 fof(f113,plain,(
% 0.19/0.53 sQ1_spl),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f112])).
% 0.19/0.53 fof(f140,plain,(
% 0.19/0.53 ~p21(c28,f9(f10(f11(c29))))|~sQ2_spl),
% 0.19/0.53 inference(resolution,[status(thm)],[f106,f82])).
% 0.19/0.53 fof(f142,plain,(
% 0.19/0.53 $false|~sQ2_spl),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f140,f41])).
% 0.19/0.53 fof(f143,plain,(
% 0.19/0.53 ~sQ2_spl),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f142])).
% 0.19/0.53 fof(f144,plain,(
% 0.19/0.53 $false|sQ3_spl),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f110,f57])).
% 0.19/0.53 fof(f145,plain,(
% 0.19/0.53 sQ3_spl),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f144])).
% 0.19/0.53 fof(f146,plain,(
% 0.19/0.53 $false),
% 0.19/0.53 inference(sat_refutation,[status(thm)],[f111,f113,f143,f145])).
% 0.19/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.54 % Elapsed time: 0.081841 seconds
% 0.23/0.54 % CPU time: 0.395493 seconds
% 0.23/0.54 % Total memory used: 24.625 MB
% 0.23/0.54 % Net memory used: 24.078 MB
%------------------------------------------------------------------------------