%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:28:21 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:26:57 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.38 fof(f1,axiom,(
% 0.15/0.38 ~ eq(p_1,p_2) ),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f4,axiom,(
% 0.15/0.38 (![Row,Column,Label1,Label2]: (( ~ latin(Row,Column,Label1)| ~ latin(Row,Column,Label2)| eq(Label1,Label2) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f5,axiom,(
% 0.15/0.38 (![Row,Column1,Label,Column2]: (( ~ latin(Row,Column1,Label)| ~ latin(Row,Column2,Label)| eq(Column1,Column2) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f6,axiom,(
% 0.15/0.38 (![Row1,Column,Label,Row2]: (( ~ latin(Row1,Column,Label)| ~ latin(Row2,Column,Label)| eq(Row1,Row2) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f7,axiom,(
% 0.15/0.38 (![Row,Column,Label1,Label2]: (( ~ greek(Row,Column,Label1)| ~ greek(Row,Column,Label2)| eq(Label1,Label2) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f10,axiom,(
% 0.15/0.38 (![Row,Column]: (( latin(Row,Column,p_1)| latin(Row,Column,p_2) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f11,axiom,(
% 0.15/0.38 (![Row,Label]: (( latin(Row,p_1,Label)| latin(Row,p_2,Label) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f12,axiom,(
% 0.15/0.38 (![Column,Label]: (( latin(p_1,Column,Label)| latin(p_2,Column,Label) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f14,axiom,(
% 0.15/0.38 (![Row,Label]: (( greek(Row,p_1,Label)| greek(Row,p_2,Label) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f15,axiom,(
% 0.15/0.38 (![Column,Label]: (( greek(p_1,Column,Label)| greek(p_2,Column,Label) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f17,negated_conjecture,(
% 0.15/0.38 (![Row1,Column1,Label1,Label2,Row2,Column2]: (( ~ greek(Row1,Column1,Label1)| ~ latin(Row1,Column1,Label2)| ~ greek(Row2,Column2,Label1)| ~ latin(Row2,Column2,Label2)| eq(Row1,Row2) ) ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f18,plain,(
% 0.15/0.38 ~eq(p_1,p_2)),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.38 fof(f21,plain,(
% 0.15/0.38 ![Label1,Label2]: ((![Row,Column]: (~latin(Row,Column,Label1)|~latin(Row,Column,Label2)))|eq(Label1,Label2))),
% 0.15/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.15/0.38 fof(f22,plain,(
% 0.15/0.38 ![X0,X1,X2,X3]: (~latin(X0,X1,X2)|~latin(X0,X1,X3)|eq(X2,X3))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.38 fof(f23,plain,(
% 0.15/0.38 ![Column1,Column2]: ((![Row,Label]: (~latin(Row,Column1,Label)|~latin(Row,Column2,Label)))|eq(Column1,Column2))),
% 0.15/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.15/0.38 fof(f24,plain,(
% 0.15/0.38 ![X0,X1,X2,X3]: (~latin(X0,X1,X2)|~latin(X0,X3,X2)|eq(X1,X3))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/0.38 fof(f25,plain,(
% 0.15/0.38 ![Row1,Row2]: ((![Column,Label]: (~latin(Row1,Column,Label)|~latin(Row2,Column,Label)))|eq(Row1,Row2))),
% 0.15/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.15/0.38 fof(f26,plain,(
% 0.15/0.38 ![X0,X1,X2,X3]: (~latin(X0,X1,X2)|~latin(X3,X1,X2)|eq(X0,X3))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.38 fof(f27,plain,(
% 0.15/0.38 ![Label1,Label2]: ((![Row,Column]: (~greek(Row,Column,Label1)|~greek(Row,Column,Label2)))|eq(Label1,Label2))),
% 0.15/0.38 inference(miniscoping,[status(thm)],[f7])).
% 0.15/0.38 fof(f28,plain,(
% 0.15/0.38 ![X0,X1,X2,X3]: (~greek(X0,X1,X2)|~greek(X0,X1,X3)|eq(X2,X3))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.38 fof(f33,plain,(
% 0.15/0.38 ![X0,X1]: (latin(X0,X1,p_1)|latin(X0,X1,p_2))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.38 fof(f34,plain,(
% 0.15/0.38 ![X0,X1]: (latin(X0,p_1,X1)|latin(X0,p_2,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.38 fof(f35,plain,(
% 0.15/0.38 ![X0,X1]: (latin(p_1,X0,X1)|latin(p_2,X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.38 fof(f37,plain,(
% 0.15/0.38 ![X0,X1]: (greek(X0,p_1,X1)|greek(X0,p_2,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.38 fof(f38,plain,(
% 0.15/0.38 ![X0,X1]: (greek(p_1,X0,X1)|greek(p_2,X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.38 fof(f41,plain,(
% 0.15/0.38 ![Row1,Row2]: ((![Label2,Column2]: ((![Label1]: ((![Column1]: (~greek(Row1,Column1,Label1)|~latin(Row1,Column1,Label2)))|~greek(Row2,Column2,Label1)))|~latin(Row2,Column2,Label2)))|eq(Row1,Row2))),
% 0.15/0.38 inference(miniscoping,[status(thm)],[f17])).
% 0.15/0.38 fof(f42,plain,(
% 0.15/0.38 ![X0,X1,X2,X3,X4,X5]: (~greek(X0,X1,X2)|~latin(X0,X1,X3)|~greek(X4,X5,X2)|~latin(X4,X5,X3)|eq(X0,X4))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.15/0.38 fof(f45,plain,(
% 0.15/0.38 ![X0,X1]: (~greek(X0,X1,p_1)|~greek(X0,X1,p_2))),
% 0.15/0.38 inference(resolution,[status(thm)],[f18,f28])).
% 0.15/0.38 fof(f46,plain,(
% 0.15/0.38 ![X0,X1]: (~latin(p_1,X0,X1)|~latin(p_2,X0,X1))),
% 0.15/0.38 inference(resolution,[status(thm)],[f18,f26])).
% 0.15/0.38 fof(f47,plain,(
% 0.15/0.38 ![X0,X1]: (~latin(X0,p_1,X1)|~latin(X0,p_2,X1))),
% 0.15/0.38 inference(resolution,[status(thm)],[f18,f24])).
% 0.15/0.38 fof(f48,plain,(
% 0.15/0.38 ![X0,X1]: (~latin(X0,X1,p_1)|~latin(X0,X1,p_2))),
% 0.15/0.38 inference(resolution,[status(thm)],[f18,f22])).
% 0.15/0.38 fof(f50,plain,(
% 0.15/0.38 ![X0,X1,X2,X3]: (~greek(p_1,X0,X1)|~latin(p_1,X0,X2)|~greek(p_2,X3,X1)|~latin(p_2,X3,X2))),
% 0.15/0.38 inference(resolution,[status(thm)],[f18,f42])).
% 0.15/0.38 fof(f68,plain,(
% 0.15/0.38 ![X0]: (~latin(p_2,p_2,X0)|latin(p_1,p_1,X0))),
% 0.15/0.38 inference(resolution,[status(thm)],[f46,f34])).
% 0.15/0.38 fof(f69,plain,(
% 0.15/0.38 ![X0]: (~latin(p_2,X0,p_2)|latin(p_1,X0,p_1))),
% 0.15/0.38 inference(resolution,[status(thm)],[f46,f33])).
% 0.15/0.38 fof(f71,plain,(
% 0.15/0.38 ![X0]: (~latin(X0,p_2,p_2)|latin(X0,p_1,p_1))),
% 0.15/0.38 inference(resolution,[status(thm)],[f47,f33])).
% 0.15/0.38 fof(f74,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~latin(p_1,p_2,X0)|~greek(p_2,X1,X2)|~latin(p_2,X1,X0)|greek(p_1,p_1,X2))),
% 0.15/0.38 inference(resolution,[status(thm)],[f50,f37])).
% 0.15/0.38 fof(f135,definition,(
% 0.15/0.38 sQ7_spl <=> (latin(p_2,p_1,p_1))),
% 0.15/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.38 fof(f136,plain,(
% 0.15/0.38 latin(p_2,p_1,p_1)|~sQ7_spl),
% 0.15/0.38 inference(component_clause,[status(thm)],[f135])).
% 0.15/0.38 fof(f144,definition,(
% 0.15/0.38 sQ8_spl <=> (latin(p_2,p_2,p_2))),
% 0.15/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.38 fof(f145,plain,(
% 0.15/0.38 latin(p_2,p_2,p_2)|~sQ8_spl),
% 0.15/0.38 inference(component_clause,[status(thm)],[f144])).
% 0.15/0.38 fof(f146,plain,(
% 0.15/0.38 ~latin(p_2,p_2,p_2)|sQ8_spl),
% 0.15/0.38 inference(component_clause,[status(thm)],[f144])).
% 0.15/0.38 fof(f148,plain,(
% 0.15/0.38 ~latin(p_2,p_2,p_1)|~sQ7_spl),
% 0.15/0.38 inference(resolution,[status(thm)],[f136,f47])).
% 0.15/0.38 fof(f150,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~greek(p_2,X0,X1)|~latin(p_2,X0,X2)|greek(p_1,p_1,X1)|latin(p_1,p_1,X2))),
% 0.15/0.38 inference(resolution,[status(thm)],[f74,f34])).
% 0.15/0.38 fof(f155,definition,(
% 0.15/0.38 sQ10_spl <=> (latin(p_1,p_2,p_1))),
% 0.15/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/0.38 fof(f156,plain,(
% 0.15/0.38 latin(p_1,p_2,p_1)|~sQ10_spl),
% 0.15/0.38 inference(component_clause,[status(thm)],[f155])).
% 0.15/0.38 fof(f183,plain,(
% 0.15/0.38 latin(p_1,p_1,p_2)|latin(p_2,p_2,p_1)),
% 0.15/0.38 inference(resolution,[status(thm)],[f68,f33])).
% 0.15/0.38 fof(f184,definition,(
% 0.15/0.38 sQ11_spl <=> (latin(p_1,p_1,p_2))),
% 0.15/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.38 fof(f185,plain,(
% 0.15/0.38 latin(p_1,p_1,p_2)|~sQ11_spl),
% 0.15/0.38 inference(component_clause,[status(thm)],[f184])).
% 0.15/0.38 fof(f187,definition,(
% 0.15/0.38 sQ12_spl <=> (latin(p_2,p_2,p_1))),
% 0.15/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.38 fof(f188,plain,(
% 0.15/0.38 latin(p_2,p_2,p_1)|~sQ12_spl),
% 0.15/0.38 inference(component_clause,[status(thm)],[f187])).
% 0.15/0.38 fof(f190,plain,(
% 0.15/0.38 sQ11_spl|sQ12_spl),
% 0.15/0.38 inference(split_clause,[status(thm)],[f183,f184,f187])).
% 0.15/0.38 fof(f191,plain,(
% 0.15/0.38 $false|~sQ7_spl|~sQ12_spl),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f188,f148])).
% 0.15/0.38 fof(f192,plain,(
% 0.15/0.38 ~sQ7_spl|~sQ12_spl),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f191])).
% 0.15/0.38 fof(f207,plain,(
% 0.15/0.38 latin(p_2,p_1,p_2)|sQ8_spl),
% 0.15/0.38 inference(resolution,[status(thm)],[f146,f34])).
% 0.15/0.38 fof(f208,plain,(
% 0.15/0.38 latin(p_2,p_2,p_1)|sQ8_spl),
% 0.15/0.38 inference(resolution,[status(thm)],[f146,f33])).
% 0.15/0.38 fof(f209,plain,(
% 0.15/0.38 ~latin(p_2,p_1,p_2)|~sQ11_spl),
% 0.15/0.38 inference(resolution,[status(thm)],[f185,f46])).
% 0.15/0.38 fof(f214,plain,(
% 0.15/0.38 ~latin(p_1,p_2,p_2)|~sQ10_spl),
% 0.15/0.38 inference(resolution,[status(thm)],[f156,f48])).
% 0.15/0.38 fof(f222,plain,(
% 0.15/0.38 latin(p_2,p_1,p_1)|latin(p_1,p_2,p_2)),
% 0.15/0.38 inference(resolution,[status(thm)],[f71,f35])).
% 0.15/0.38 fof(f225,definition,(
% 0.15/0.38 sQ14_spl <=> (latin(p_1,p_2,p_2))),
% 0.15/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f226,plain,(
% 0.15/0.39 latin(p_1,p_2,p_2)|~sQ14_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f225])).
% 0.15/0.39 fof(f228,plain,(
% 0.15/0.39 sQ7_spl|sQ14_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f222,f135,f225])).
% 0.15/0.39 fof(f242,plain,(
% 0.15/0.39 $false|~sQ10_spl|~sQ14_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f226,f214])).
% 0.15/0.39 fof(f243,plain,(
% 0.15/0.39 ~sQ10_spl|~sQ14_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f242])).
% 0.15/0.39 fof(f245,plain,(
% 0.15/0.39 latin(p_2,p_1,p_1)|~sQ11_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f209,f33])).
% 0.15/0.39 fof(f246,plain,(
% 0.15/0.39 sQ7_spl|~sQ11_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f245,f135,f184])).
% 0.15/0.39 fof(f302,plain,(
% 0.15/0.39 ![X0]: (~greek(p_2,p_1,X0)|greek(p_1,p_1,X0)|latin(p_1,p_1,p_2)|sQ8_spl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f207,f150])).
% 0.15/0.39 fof(f304,definition,(
% 0.15/0.39 ![X0]: (sQ21_spl <=> (~greek(p_2,p_1,X0)|greek(p_1,p_1,X0)))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f305,plain,(
% 0.15/0.39 ![X0]: (~greek(p_2,p_1,X0)|greek(p_1,p_1,X0)|~sQ21_spl)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f304])).
% 0.15/0.39 fof(f307,plain,(
% 0.15/0.39 sQ21_spl|sQ11_spl|sQ8_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f302,f304,f184,f144])).
% 0.15/0.39 fof(f323,plain,(
% 0.15/0.39 sQ12_spl|sQ8_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f208,f187,f144])).
% 0.15/0.39 fof(f328,plain,(
% 0.15/0.39 ![X0]: (~greek(p_2,p_1,X0)|greek(p_1,p_1,X0)|latin(p_1,p_1,p_1)|~sQ7_spl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f136,f150])).
% 0.15/0.39 fof(f331,definition,(
% 0.15/0.39 sQ25_spl <=> (latin(p_1,p_1,p_1))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f332,plain,(
% 0.15/0.39 latin(p_1,p_1,p_1)|~sQ25_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f331])).
% 0.15/0.39 fof(f334,plain,(
% 0.15/0.39 sQ21_spl|sQ25_spl|~sQ7_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f328,f304,f331,f135])).
% 0.15/0.39 fof(f335,plain,(
% 0.15/0.39 ![X0]: (greek(p_1,p_1,X0)|~sQ21_spl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f305,f38])).
% 0.15/0.39 fof(f340,plain,(
% 0.15/0.39 ~greek(p_1,p_1,p_2)|~sQ21_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f335,f45])).
% 0.15/0.39 fof(f342,plain,(
% 0.15/0.39 $false|~sQ21_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f340,f335])).
% 0.15/0.39 fof(f343,plain,(
% 0.15/0.39 ~sQ21_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f342])).
% 0.15/0.39 fof(f373,plain,(
% 0.15/0.39 latin(p_1,p_2,p_1)|~sQ8_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f145,f69])).
% 0.15/0.39 fof(f376,plain,(
% 0.15/0.39 sQ10_spl|~sQ8_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f373,f155,f144])).
% 0.15/0.39 fof(f380,plain,(
% 0.15/0.39 ~latin(p_1,p_2,p_1)|~sQ25_spl),
% 0.15/0.39 inference(resolution,[status(thm)],[f332,f47])).
% 0.15/0.39 fof(f384,plain,(
% 0.15/0.39 ~sQ10_spl|~sQ25_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f380,f155,f331])).
% 0.15/0.39 fof(f386,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f190,f192,f228,f243,f246,f307,f323,f334,f343,f376,f384])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.40 % Elapsed time: 0.034350 seconds
% 0.15/0.40 % CPU time: 0.092863 seconds
% 0.15/0.40 % Total memory used: 5.208 MB
% 0.15/0.40 % Net memory used: 5.071 MB
%------------------------------------------------------------------------------