%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN645-1 : 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 03:20:17 PM UTC 2026
% Result : Unsatisfiable 6.60s 6.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n015.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 11:14:43 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 6.60/6.30 % Refutation found
% 6.60/6.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.60/6.30 % SZS output start CNFRefutation for theBenchmark
% 6.60/6.30 fof(f1,negated_conjecture,(
% 6.60/6.30 (![X0]: (p12(X0,X0) ))),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f7,negated_conjecture,(
% 6.60/6.30 p22(f3(f4(f5(c26))),c27) ),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f9,negated_conjecture,(
% 6.60/6.30 p23(c28,f8(f10(c29,f11(c27,c30)))) ),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f16,negated_conjecture,(
% 6.60/6.30 (![X1,X2,X0]: (( p12(X1,X2)| ~ p12(X0,X1)| ~ p12(X0,X2) ) ))),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f22,negated_conjecture,(
% 6.60/6.30 ~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f23,negated_conjecture,(
% 6.60/6.30 (![X66,X67,X69,X68]: (( p25(X66,X67)| ~ p12(X69,X67)| ~ p25(X68,X69)| ~ p12(X68,X66) ) ))),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f32,negated_conjecture,(
% 6.60/6.30 ~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))) ),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f33,negated_conjecture,(
% 6.60/6.30 p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f37,negated_conjecture,(
% 6.60/6.30 (![X7,X4,X5,X6,X3]: (( p25(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),f13(f14(X7,X3)))| ~ p22(f3(f4(f5(c26))),X5)| ~ p23(X3,f8(f10(X4,f11(X5,X6)))) ) ))),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f41,negated_conjecture,(
% 6.60/6.30 (![X3,X4,X5,X6,X7]: (( p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))| p23(f21(X4,X5,X6,X7,X3),f8(f10(X4,f11(X5,X6))))| p24(f17(f10(X4,f11(X5,X6)),f16(f10(X4,f11(X5,X6)),c32,X7)))| ~ p22(f3(f4(f5(c26))),X5)| ~ p23(X3,f8(f10(X4,f11(X5,X6)))) ) ))),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f42,negated_conjecture,(
% 6.60/6.30 (![X3,X4,X5,X6,X7]: (( p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))| p24(f17(f10(X4,f11(X5,X6)),f16(f10(X4,f11(X5,X6)),c32,X7)))| ~ p22(f3(f4(f5(c26))),X5)| ~ p23(X3,f8(f10(X4,f11(X5,X6))))| ~ p25(f13(f14(X7,X3)),f13(f14(X7,f21(X4,X5,X6,X7,X3)))) ) ))),
% 6.60/6.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.60/6.30 fof(f43,plain,(
% 6.60/6.30 ![X0]: (p12(X0,X0))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f1])).
% 6.60/6.30 fof(f49,plain,(
% 6.60/6.30 p22(f3(f4(f5(c26))),c27)),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f7])).
% 6.60/6.30 fof(f51,plain,(
% 6.60/6.30 p23(c28,f8(f10(c29,f11(c27,c30))))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f9])).
% 6.60/6.30 fof(f58,plain,(
% 6.60/6.30 ![X2,X0]: ((![X1]: (p12(X1,X2)|~p12(X0,X1)))|~p12(X0,X2))),
% 6.60/6.30 inference(miniscoping,[status(thm)],[f16])).
% 6.60/6.30 fof(f59,plain,(
% 6.60/6.30 ![X0,X1,X2]: (p12(X0,X1)|~p12(X2,X0)|~p12(X2,X1))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f58])).
% 6.60/6.30 fof(f70,plain,(
% 6.60/6.30 ~p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f22])).
% 6.60/6.30 fof(f71,plain,(
% 6.60/6.30 ![X66,X68]: ((![X69]: ((![X67]: (p25(X66,X67)|~p12(X69,X67)))|~p25(X68,X69)))|~p12(X68,X66))),
% 6.60/6.30 inference(miniscoping,[status(thm)],[f23])).
% 6.60/6.30 fof(f72,plain,(
% 6.60/6.30 ![X0,X1,X2,X3]: (p25(X0,X1)|~p12(X2,X1)|~p25(X3,X2)|~p12(X3,X0))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f71])).
% 6.60/6.30 fof(f89,plain,(
% 6.60/6.30 ~p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31)))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f32])).
% 6.60/6.30 fof(f90,plain,(
% 6.60/6.30 p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f33])).
% 6.60/6.30 fof(f97,plain,(
% 6.60/6.30 ![X4,X5,X6,X3]: (((![X7]: p25(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),f13(f14(X7,X3))))|~p22(f3(f4(f5(c26))),X5))|~p23(X3,f8(f10(X4,f11(X5,X6)))))),
% 6.60/6.30 inference(miniscoping,[status(thm)],[f37])).
% 6.60/6.30 fof(f98,plain,(
% 6.60/6.30 ![X0,X1,X2,X3,X4]: (p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4)))|~p22(f3(f4(f5(c26))),X2)|~p23(X4,f8(f10(X1,f11(X2,X3)))))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f97])).
% 6.60/6.30 fof(f104,plain,(
% 6.60/6.30 ![X3,X4,X5,X6]: (((![X7]: ((p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))|p23(f21(X4,X5,X6,X7,X3),f8(f10(X4,f11(X5,X6)))))|p24(f17(f10(X4,f11(X5,X6)),f16(f10(X4,f11(X5,X6)),c32,X7)))))|~p22(f3(f4(f5(c26))),X5))|~p23(X3,f8(f10(X4,f11(X5,X6)))))),
% 6.60/6.30 inference(miniscoping,[status(thm)],[f41])).
% 6.60/6.30 fof(f105,plain,(
% 6.60/6.30 ![X0,X1,X2,X3,X4]: (p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))|p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))|p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))|~p22(f3(f4(f5(c26))),X2)|~p23(X0,f8(f10(X1,f11(X2,X3)))))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f104])).
% 6.60/6.30 fof(f106,plain,(
% 6.60/6.30 ![X0,X1,X2,X3,X4]: (p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))|p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))|~p22(f3(f4(f5(c26))),X2)|~p23(X0,f8(f10(X1,f11(X2,X3))))|~p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0)))))),
% 6.60/6.30 inference(cnf_transformation,[status(thm)],[f42])).
% 6.60/6.30 fof(f132,plain,(
% 6.60/6.30 ![X0,X1]: (p12(X0,X1)|~p12(X1,X0))),
% 6.60/6.30 inference(resolution,[status(thm)],[f59,f43])).
% 6.60/6.30 fof(f152,plain,(
% 6.60/6.30 p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))),
% 6.60/6.30 inference(resolution,[status(thm)],[f132,f90])).
% 6.60/6.30 fof(f226,plain,(
% 6.60/6.30 ![X0,X1,X2]: (p25(X0,X1)|~p25(X2,X1)|~p12(X2,X0))),
% 6.60/6.30 inference(resolution,[status(thm)],[f72,f43])).
% 6.60/6.30 fof(f272,plain,(
% 6.60/6.30 ![X0]: (p25(f13(f14(c31,c28)),X0)|~p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0))),
% 6.60/6.30 inference(resolution,[status(thm)],[f226,f152])).
% 6.60/6.30 fof(f315,definition,(
% 6.60/6.30 sQ5_spl <=> (p22(f3(f4(f5(c26))),c27))),
% 6.60/6.30 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 6.60/6.30 fof(f317,plain,(
% 6.60/6.30 ~p22(f3(f4(f5(c26))),c27)|sQ5_spl),
% 6.60/6.30 inference(component_clause,[status(thm)],[f315])).
% 6.60/6.30 fof(f323,plain,(
% 6.60/6.30 $false|sQ5_spl),
% 6.60/6.30 inference(forward_subsumption_resolution,[status(thm)],[f317,f49])).
% 6.60/6.30 fof(f324,plain,(
% 6.60/6.30 sQ5_spl),
% 6.60/6.30 inference(contradiction_clause,[status(thm)],[f323])).
% 6.60/6.30 fof(f405,plain,(
% 6.60/6.30 ![X0]: (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))|p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X0)))|~p22(f3(f4(f5(c26))),c27))),
% 6.60/6.30 inference(resolution,[status(thm)],[f105,f51])).
% 6.60/6.30 fof(f410,definition,(
% 6.60/6.30 ![X0]: (sQ8_spl <=> (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))|p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X0)))))),
% 6.60/6.30 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 6.60/6.30 fof(f411,plain,(
% 6.60/6.30 ![X0]: (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))|p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X0)))|~sQ8_spl)),
% 6.60/6.30 inference(component_clause,[status(thm)],[f410])).
% 6.60/6.30 fof(f413,plain,(
% 6.60/6.30 sQ8_spl|~sQ5_spl),
% 6.60/6.30 inference(split_clause,[status(thm)],[f405,f410,f315])).
% 6.60/6.30 fof(f1260,plain,(
% 6.60/6.30 p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))|p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))|~sQ8_spl),
% 6.60/6.30 inference(resolution,[status(thm)],[f411,f89])).
% 6.60/6.30 fof(f1264,definition,(
% 6.60/6.30 sQ11_spl <=> (p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)))),
% 6.60/6.30 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 6.60/6.30 fof(f1265,plain,(
% 6.60/6.30 p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))|~sQ11_spl),
% 6.60/6.30 inference(component_clause,[status(thm)],[f1264])).
% 6.60/6.30 fof(f1267,definition,(
% 6.60/6.30 sQ12_spl <=> (p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))))),
% 6.60/6.30 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 6.60/6.30 fof(f1268,plain,(
% 6.60/6.30 p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))|~sQ12_spl),
% 6.60/6.30 inference(component_clause,[status(thm)],[f1267])).
% 6.60/6.30 fof(f1270,plain,(
% 6.60/6.30 sQ11_spl|sQ12_spl|~sQ8_spl),
% 6.60/6.30 inference(split_clause,[status(thm)],[f1260,f1264,f1267,f410])).
% 6.60/6.30 fof(f1281,plain,(
% 6.60/6.30 $false|~sQ11_spl),
% 6.60/6.30 inference(forward_subsumption_resolution,[status(thm)],[f1265,f70])).
% 6.60/6.30 fof(f1282,plain,(
% 6.60/6.30 ~sQ11_spl),
% 6.60/6.30 inference(contradiction_clause,[status(thm)],[f1281])).
% 6.60/6.30 fof(f1284,plain,(
% 6.60/6.30 ![X0]: (p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28))))|~p22(f3(f4(f5(c26))),c27)|~sQ12_spl)),
% 6.60/6.30 inference(resolution,[status(thm)],[f1268,f98])).
% 6.60/6.30 fof(f1291,definition,(
% 6.60/6.30 ![X0]: (sQ16_spl <=> (p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28))))))),
% 6.60/6.33 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 6.60/6.33 fof(f1292,plain,(
% 6.60/6.33 ![X0]: (p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28))))|~sQ16_spl)),
% 6.60/6.33 inference(component_clause,[status(thm)],[f1291])).
% 6.60/6.33 fof(f1294,plain,(
% 6.60/6.33 sQ16_spl|~sQ5_spl|~sQ12_spl),
% 6.60/6.33 inference(split_clause,[status(thm)],[f1284,f1291,f315,f1267])).
% 6.60/6.33 fof(f1303,plain,(
% 6.60/6.33 p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28))))|~sQ16_spl),
% 6.60/6.33 inference(resolution,[status(thm)],[f1292,f272])).
% 6.60/6.33 fof(f1310,plain,(
% 6.60/6.33 p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))|p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31)))|~p22(f3(f4(f5(c26))),c27)|~p23(c28,f8(f10(c29,f11(c27,c30))))|~sQ16_spl),
% 6.60/6.33 inference(resolution,[status(thm)],[f1303,f106])).
% 6.60/6.33 fof(f1314,definition,(
% 6.60/6.33 sQ17_spl <=> (p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))))),
% 6.60/6.33 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 6.60/6.33 fof(f1315,plain,(
% 6.60/6.33 p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31)))|~sQ17_spl),
% 6.60/6.33 inference(component_clause,[status(thm)],[f1314])).
% 6.60/6.33 fof(f1317,definition,(
% 6.60/6.33 sQ18_spl <=> (p23(c28,f8(f10(c29,f11(c27,c30)))))),
% 6.60/6.33 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 6.60/6.33 fof(f1319,plain,(
% 6.60/6.33 ~p23(c28,f8(f10(c29,f11(c27,c30))))|sQ18_spl),
% 6.60/6.33 inference(component_clause,[status(thm)],[f1317])).
% 6.60/6.33 fof(f1320,plain,(
% 6.60/6.33 sQ11_spl|sQ17_spl|~sQ5_spl|~sQ18_spl|~sQ16_spl),
% 6.60/6.33 inference(split_clause,[status(thm)],[f1310,f1264,f1314,f315,f1317,f1291])).
% 6.60/6.33 fof(f1321,plain,(
% 6.60/6.33 $false|~sQ17_spl),
% 6.60/6.33 inference(forward_subsumption_resolution,[status(thm)],[f1315,f89])).
% 6.60/6.33 fof(f1322,plain,(
% 6.60/6.33 ~sQ17_spl),
% 6.60/6.33 inference(contradiction_clause,[status(thm)],[f1321])).
% 6.60/6.33 fof(f1323,plain,(
% 6.60/6.33 $false|sQ18_spl),
% 6.60/6.33 inference(forward_subsumption_resolution,[status(thm)],[f1319,f51])).
% 6.60/6.33 fof(f1324,plain,(
% 6.60/6.33 sQ18_spl),
% 6.60/6.33 inference(contradiction_clause,[status(thm)],[f1323])).
% 6.60/6.33 fof(f1325,plain,(
% 6.60/6.33 $false),
% 6.60/6.33 inference(sat_refutation,[status(thm)],[f324,f413,f1270,f1282,f1294,f1320,f1322,f1324])).
% 6.60/6.33 % SZS output end CNFRefutation for theBenchmark.p
% 6.60/6.36 % Elapsed time: 0.974709 seconds
% 6.60/6.36 % CPU time: 7.478536 seconds
% 6.60/6.36 % Total memory used: 92.671 MB
% 6.60/6.36 % Net memory used: 81.435 MB
%------------------------------------------------------------------------------