%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP128-1.003 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:35:54 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP128-1.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:03:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 group_element(e_1) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 group_element(e_2) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 group_element(e_3) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 ~ equalish(e_1,e_2) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 ~ equalish(e_1,e_3) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,axiom,(
% 0.09/0.40 ~ equalish(e_2,e_3) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,axiom,(
% 0.09/0.40 ~ equalish(e_3,e_2) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f10,axiom,(
% 0.09/0.40 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f11,axiom,(
% 0.09/0.40 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f12,axiom,(
% 0.09/0.40 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f13,axiom,(
% 0.09/0.40 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f14,negated_conjecture,(
% 0.09/0.40 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(Z1,Y,Z2)| product(X,Z1,Z2) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 group_element(e_1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f16,plain,(
% 0.09/0.40 group_element(e_2)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 group_element(e_3)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 ~equalish(e_1,e_2)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 ~equalish(e_1,e_3)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ~equalish(e_2,e_3)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 ~equalish(e_3,e_2)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f24,plain,(
% 0.09/0.40 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f25,plain,(
% 0.09/0.40 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f12])).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.40 fof(f29,plain,(
% 0.09/0.40 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 ![X,Z1,Z2]: ((![Y]: (~product(X,Y,Z1)|~product(Z1,Y,Z2)))|product(X,Z1,Z2))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f14])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X2,X1,X3)|product(X0,X2,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.40 fof(f33,plain,(
% 0.09/0.40 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3))),
% 0.09/0.40 inference(resolution,[status(thm)],[f24,f17])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3))),
% 0.09/0.40 inference(resolution,[status(thm)],[f24,f16])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3))),
% 0.09/0.40 inference(resolution,[status(thm)],[f24,f15])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 product(e_3,e_3,e_1)|product(e_3,e_3,e_2)|product(e_3,e_3,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f33,f17])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f33,f16])).
% 0.09/0.40 fof(f38,plain,(
% 0.09/0.40 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f33,f15])).
% 0.09/0.40 fof(f39,definition,(
% 0.09/0.40 sQ0_spl <=> (product(e_3,e_3,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 product(e_3,e_3,e_1)|~sQ0_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f39])).
% 0.09/0.40 fof(f42,definition,(
% 0.09/0.40 sQ1_spl <=> (product(e_3,e_3,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 product(e_3,e_3,e_2)|~sQ1_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f42])).
% 0.09/0.40 fof(f45,definition,(
% 0.09/0.40 sQ2_spl <=> (product(e_3,e_3,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 product(e_3,e_3,e_3)|~sQ2_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f45])).
% 0.09/0.40 fof(f48,plain,(
% 0.09/0.40 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f36,f39,f42,f45])).
% 0.09/0.40 fof(f49,definition,(
% 0.09/0.40 sQ3_spl <=> (product(e_3,e_2,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f50,plain,(
% 0.09/0.40 product(e_3,e_2,e_1)|~sQ3_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f49])).
% 0.09/0.40 fof(f52,definition,(
% 0.09/0.40 sQ4_spl <=> (product(e_3,e_2,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f53,plain,(
% 0.09/0.40 product(e_3,e_2,e_2)|~sQ4_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.09/0.40 fof(f55,definition,(
% 0.09/0.40 sQ5_spl <=> (product(e_3,e_2,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f56,plain,(
% 0.09/0.40 product(e_3,e_2,e_3)|~sQ5_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.09/0.40 fof(f58,plain,(
% 0.09/0.40 sQ3_spl|sQ4_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f37,f49,f52,f55])).
% 0.09/0.40 fof(f59,definition,(
% 0.09/0.40 sQ6_spl <=> (product(e_3,e_1,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f60,plain,(
% 0.09/0.40 product(e_3,e_1,e_1)|~sQ6_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.09/0.40 fof(f62,definition,(
% 0.09/0.40 sQ7_spl <=> (product(e_3,e_1,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f63,plain,(
% 0.09/0.40 product(e_3,e_1,e_2)|~sQ7_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f62])).
% 0.09/0.40 fof(f65,definition,(
% 0.09/0.40 sQ8_spl <=> (product(e_3,e_1,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f66,plain,(
% 0.09/0.40 product(e_3,e_1,e_3)|~sQ8_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f65])).
% 0.09/0.40 fof(f68,plain,(
% 0.09/0.40 sQ6_spl|sQ7_spl|sQ8_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f38,f59,f62,f65])).
% 0.09/0.40 fof(f72,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_3)|product(X0,e_3,e_3)|~sQ8_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f66,f32])).
% 0.09/0.40 fof(f76,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_3)|product(X0,e_3,e_2)|~sQ7_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f63,f32])).
% 0.09/0.40 fof(f77,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_1)|equalish(X0,e_3)|~sQ6_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f60,f30])).
% 0.09/0.40 fof(f80,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_3)|product(X0,e_3,e_1)|~sQ6_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f60,f32])).
% 0.09/0.40 fof(f81,plain,(
% 0.09/0.40 product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f34,f17])).
% 0.09/0.40 fof(f82,plain,(
% 0.09/0.40 product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f34,f16])).
% 0.09/0.40 fof(f83,plain,(
% 0.09/0.40 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f34,f15])).
% 0.09/0.40 fof(f84,definition,(
% 0.09/0.40 sQ9_spl <=> (product(e_2,e_3,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f85,plain,(
% 0.09/0.40 product(e_2,e_3,e_1)|~sQ9_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f84])).
% 0.09/0.40 fof(f87,definition,(
% 0.09/0.40 sQ10_spl <=> (product(e_2,e_3,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f88,plain,(
% 0.09/0.40 product(e_2,e_3,e_2)|~sQ10_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f87])).
% 0.09/0.40 fof(f90,definition,(
% 0.09/0.40 sQ11_spl <=> (product(e_2,e_3,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f91,plain,(
% 0.09/0.40 product(e_2,e_3,e_3)|~sQ11_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f90])).
% 0.09/0.40 fof(f93,plain,(
% 0.09/0.40 sQ9_spl|sQ10_spl|sQ11_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f81,f84,f87,f90])).
% 0.09/0.40 fof(f94,definition,(
% 0.09/0.40 sQ12_spl <=> (product(e_2,e_2,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f95,plain,(
% 0.09/0.40 product(e_2,e_2,e_1)|~sQ12_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f94])).
% 0.09/0.40 fof(f97,definition,(
% 0.09/0.40 sQ13_spl <=> (product(e_2,e_2,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f98,plain,(
% 0.09/0.40 product(e_2,e_2,e_2)|~sQ13_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.09/0.40 fof(f99,plain,(
% 0.09/0.40 ~product(e_2,e_2,e_2)|sQ13_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.09/0.40 fof(f100,definition,(
% 0.09/0.40 sQ14_spl <=> (product(e_2,e_2,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f101,plain,(
% 0.09/0.40 product(e_2,e_2,e_3)|~sQ14_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f100])).
% 0.09/0.40 fof(f103,plain,(
% 0.09/0.40 sQ12_spl|sQ13_spl|sQ14_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f82,f94,f97,f100])).
% 0.09/0.40 fof(f104,definition,(
% 0.09/0.40 sQ15_spl <=> (product(e_2,e_1,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f105,plain,(
% 0.09/0.40 product(e_2,e_1,e_1)|~sQ15_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f104])).
% 0.09/0.40 fof(f107,definition,(
% 0.09/0.40 sQ16_spl <=> (product(e_2,e_1,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f108,plain,(
% 0.09/0.40 product(e_2,e_1,e_2)|~sQ16_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.09/0.40 fof(f110,definition,(
% 0.09/0.40 sQ17_spl <=> (product(e_2,e_1,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f111,plain,(
% 0.09/0.40 product(e_2,e_1,e_3)|~sQ17_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f110])).
% 0.09/0.40 fof(f113,plain,(
% 0.09/0.40 sQ15_spl|sQ16_spl|sQ17_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f83,f104,f107,f110])).
% 0.09/0.40 fof(f114,plain,(
% 0.09/0.40 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f35,f17])).
% 0.09/0.40 fof(f115,plain,(
% 0.09/0.40 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f35,f16])).
% 0.09/0.40 fof(f116,plain,(
% 0.09/0.40 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.09/0.40 inference(resolution,[status(thm)],[f35,f15])).
% 0.09/0.40 fof(f117,definition,(
% 0.09/0.40 sQ18_spl <=> (product(e_1,e_3,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f118,plain,(
% 0.09/0.40 product(e_1,e_3,e_1)|~sQ18_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.09/0.40 fof(f120,definition,(
% 0.09/0.40 sQ19_spl <=> (product(e_1,e_3,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f121,plain,(
% 0.09/0.40 product(e_1,e_3,e_2)|~sQ19_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f120])).
% 0.09/0.40 fof(f123,definition,(
% 0.09/0.40 sQ20_spl <=> (product(e_1,e_3,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f124,plain,(
% 0.09/0.40 product(e_1,e_3,e_3)|~sQ20_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f123])).
% 0.09/0.40 fof(f126,plain,(
% 0.09/0.40 sQ18_spl|sQ19_spl|sQ20_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f114,f117,f120,f123])).
% 0.09/0.40 fof(f127,definition,(
% 0.09/0.40 sQ21_spl <=> (product(e_1,e_2,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f128,plain,(
% 0.09/0.40 product(e_1,e_2,e_1)|~sQ21_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f127])).
% 0.09/0.40 fof(f130,definition,(
% 0.09/0.40 sQ22_spl <=> (product(e_1,e_2,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f131,plain,(
% 0.09/0.40 product(e_1,e_2,e_2)|~sQ22_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f130])).
% 0.09/0.40 fof(f133,definition,(
% 0.09/0.40 sQ23_spl <=> (product(e_1,e_2,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f134,plain,(
% 0.09/0.40 product(e_1,e_2,e_3)|~sQ23_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.09/0.40 fof(f136,plain,(
% 0.09/0.40 sQ21_spl|sQ22_spl|sQ23_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f115,f127,f130,f133])).
% 0.09/0.40 fof(f137,definition,(
% 0.09/0.40 sQ24_spl <=> (product(e_1,e_1,e_1))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f138,plain,(
% 0.09/0.40 product(e_1,e_1,e_1)|~sQ24_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f137])).
% 0.09/0.40 fof(f140,definition,(
% 0.09/0.40 sQ25_spl <=> (product(e_1,e_1,e_2))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f141,plain,(
% 0.09/0.40 product(e_1,e_1,e_2)|~sQ25_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f140])).
% 0.09/0.40 fof(f143,definition,(
% 0.09/0.40 sQ26_spl <=> (product(e_1,e_1,e_3))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f144,plain,(
% 0.09/0.40 product(e_1,e_1,e_3)|~sQ26_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f143])).
% 0.09/0.40 fof(f146,plain,(
% 0.09/0.40 sQ24_spl|sQ25_spl|sQ26_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f116,f137,f140,f143])).
% 0.09/0.40 fof(f147,plain,(
% 0.09/0.40 product(e_3,e_3,e_3)|~sQ8_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f72,f66])).
% 0.09/0.40 fof(f149,plain,(
% 0.09/0.40 ![X0]: (~product(e_3,X0,e_3)|equalish(X0,e_3)|~sQ8_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f147,f28])).
% 0.09/0.40 fof(f154,plain,(
% 0.09/0.40 equalish(e_1,e_3)|~sQ8_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f149,f66])).
% 0.09/0.40 fof(f155,plain,(
% 0.09/0.40 $false|~sQ8_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f154,f19])).
% 0.09/0.40 fof(f156,plain,(
% 0.09/0.40 ~sQ8_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f155])).
% 0.09/0.40 fof(f160,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_2,e_3)|product(X0,e_3,e_3)|~sQ5_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f56,f32])).
% 0.09/0.40 fof(f161,plain,(
% 0.09/0.40 product(e_3,e_3,e_3)|~sQ5_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f160,f56])).
% 0.09/0.40 fof(f163,plain,(
% 0.09/0.40 ![X0]: (~product(e_3,X0,e_3)|equalish(X0,e_3)|~sQ5_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f161,f28])).
% 0.09/0.40 fof(f168,plain,(
% 0.09/0.40 equalish(e_2,e_3)|~sQ5_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f163,f56])).
% 0.09/0.40 fof(f169,plain,(
% 0.09/0.40 $false|~sQ5_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f168,f21])).
% 0.09/0.40 fof(f170,plain,(
% 0.09/0.40 ~sQ5_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f169])).
% 0.09/0.40 fof(f178,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_2,e_3)|product(X0,e_3,e_1)|~sQ3_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f50,f32])).
% 0.09/0.40 fof(f179,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_3,e_3)|equalish(X0,e_3)|~sQ2_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f46,f30])).
% 0.09/0.40 fof(f184,plain,(
% 0.09/0.40 product(e_2,e_3,e_2)|~sQ17_spl|~sQ7_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f111,f76])).
% 0.09/0.40 fof(f194,plain,(
% 0.09/0.40 ![X0]: (~product(e_2,X0,e_2)|equalish(X0,e_3)|~sQ17_spl|~sQ7_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f184,f28])).
% 0.09/0.40 fof(f206,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_2)|product(X0,e_2,e_2)|~sQ16_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f108,f32])).
% 0.09/0.40 fof(f207,plain,(
% 0.09/0.40 product(e_2,e_2,e_2)|~sQ16_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f206,f108])).
% 0.09/0.40 fof(f208,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_2,e_2)|equalish(X0,e_2)|~sQ16_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f207,f30])).
% 0.09/0.40 fof(f213,plain,(
% 0.09/0.40 equalish(e_3,e_2)|~sQ16_spl|~sQ4_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f208,f53])).
% 0.09/0.40 fof(f214,plain,(
% 0.09/0.40 $false|~sQ16_spl|~sQ4_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f213,f23])).
% 0.09/0.40 fof(f215,plain,(
% 0.09/0.40 ~sQ16_spl|~sQ4_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f214])).
% 0.09/0.40 fof(f219,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_2)|product(X0,e_2,e_1)|~sQ15_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f105,f32])).
% 0.09/0.40 fof(f220,plain,(
% 0.09/0.40 product(e_2,e_3,e_1)|~sQ14_spl|~sQ3_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f101,f178])).
% 0.09/0.40 fof(f226,plain,(
% 0.09/0.40 ![X0]: (~product(e_2,X0,e_1)|equalish(X0,e_3)|~sQ14_spl|~sQ3_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f220,f28])).
% 0.09/0.40 fof(f231,plain,(
% 0.09/0.40 equalish(e_1,e_3)|~sQ14_spl|~sQ3_spl|~sQ15_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f226,f105])).
% 0.09/0.40 fof(f232,plain,(
% 0.09/0.40 $false|~sQ14_spl|~sQ3_spl|~sQ15_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f231,f19])).
% 0.09/0.40 fof(f233,plain,(
% 0.09/0.40 ~sQ14_spl|~sQ3_spl|~sQ15_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f232])).
% 0.09/0.40 fof(f241,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_2,e_2)|product(X0,e_2,e_1)|~sQ12_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f95,f32])).
% 0.09/0.40 fof(f246,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_3,e_2)|product(X0,e_2,e_3)|~sQ11_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f91,f32])).
% 0.09/0.40 fof(f251,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_3,e_2)|product(X0,e_2,e_2)|~sQ10_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f88,f32])).
% 0.09/0.40 fof(f256,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_3,e_2)|product(X0,e_2,e_1)|~sQ9_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f85,f32])).
% 0.09/0.40 fof(f257,plain,(
% 0.09/0.40 product(e_1,e_3,e_1)|~sQ26_spl|~sQ6_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f144,f80])).
% 0.09/0.40 fof(f261,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_1)|product(X0,e_1,e_3)|~sQ26_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f144,f32])).
% 0.09/0.40 fof(f270,plain,(
% 0.09/0.40 product(e_1,e_2,e_1)|~sQ25_spl|~sQ15_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f141,f219])).
% 0.09/0.40 fof(f274,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_1)|product(X0,e_1,e_2)|~sQ25_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f141,f32])).
% 0.09/0.40 fof(f288,plain,(
% 0.09/0.40 product(e_1,e_3,e_1)|~sQ23_spl|~sQ3_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f134,f178])).
% 0.09/0.40 fof(f292,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_2,e_1)|product(X0,e_1,e_3)|~sQ23_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f134,f32])).
% 0.09/0.40 fof(f294,plain,(
% 0.09/0.40 ![X0]: (~product(e_1,X0,e_1)|equalish(X0,e_3)|~sQ23_spl|~sQ3_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f288,f28])).
% 0.09/0.40 fof(f309,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_2,e_1)|product(X0,e_1,e_1)|~sQ21_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f128,f32])).
% 0.09/0.40 fof(f314,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_3,e_1)|product(X0,e_1,e_3)|~sQ20_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f124,f32])).
% 0.09/0.40 fof(f315,plain,(
% 0.09/0.40 product(e_2,e_1,e_3)|~sQ20_spl|~sQ9_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f314,f85])).
% 0.09/0.40 fof(f316,plain,(
% 0.09/0.40 sQ17_spl|~sQ20_spl|~sQ9_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f315,f110,f123,f84])).
% 0.09/0.40 fof(f317,plain,(
% 0.09/0.40 product(e_1,e_2,e_1)|~sQ19_spl|~sQ9_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f121,f256])).
% 0.09/0.40 fof(f322,plain,(
% 0.09/0.40 sQ21_spl|~sQ19_spl|~sQ9_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f317,f127,f120,f84])).
% 0.09/0.40 fof(f325,plain,(
% 0.09/0.40 product(e_3,e_1,e_2)|~sQ25_spl|~sQ6_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f274,f60])).
% 0.09/0.40 fof(f330,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_3,e_1)|product(X0,e_1,e_1)|~sQ18_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f118,f32])).
% 0.09/0.40 fof(f331,plain,(
% 0.09/0.40 product(e_1,e_1,e_1)|~sQ18_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f330,f118])).
% 0.09/0.40 fof(f332,plain,(
% 0.09/0.40 product(e_2,e_1,e_1)|~sQ18_spl|~sQ9_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f330,f85])).
% 0.09/0.40 fof(f341,plain,(
% 0.09/0.40 equalish(e_1,e_3)|~sQ6_spl|~sQ24_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f77,f138])).
% 0.09/0.40 fof(f344,plain,(
% 0.09/0.40 $false|~sQ6_spl|~sQ24_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f341,f19])).
% 0.09/0.40 fof(f345,plain,(
% 0.09/0.40 ~sQ6_spl|~sQ24_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f344])).
% 0.09/0.40 fof(f347,plain,(
% 0.09/0.40 sQ24_spl|~sQ18_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f331,f137,f117])).
% 0.09/0.40 fof(f352,plain,(
% 0.09/0.40 ![X0]: (~product(e_3,e_1,X0)|equalish(X0,e_2)|~sQ25_spl|~sQ6_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f325,f26])).
% 0.09/0.40 fof(f360,plain,(
% 0.09/0.40 equalish(e_1,e_2)|~sQ25_spl|~sQ6_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f352,f60])).
% 0.09/0.40 fof(f361,plain,(
% 0.09/0.40 $false|~sQ25_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f360,f18])).
% 0.09/0.40 fof(f362,plain,(
% 0.09/0.40 ~sQ25_spl|~sQ6_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f361])).
% 0.09/0.40 fof(f364,plain,(
% 0.09/0.40 sQ18_spl|~sQ26_spl|~sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f257,f117,f143,f59])).
% 0.09/0.40 fof(f368,plain,(
% 0.09/0.40 equalish(e_1,e_2)|~sQ22_spl|~sQ16_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f131,f208])).
% 0.09/0.40 fof(f373,plain,(
% 0.09/0.40 $false|~sQ22_spl|~sQ16_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f368,f18])).
% 0.09/0.40 fof(f374,plain,(
% 0.09/0.40 ~sQ22_spl|~sQ16_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f373])).
% 0.09/0.40 fof(f375,plain,(
% 0.09/0.40 product(e_3,e_2,e_3)|~sQ1_spl|~sQ11_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f43,f246])).
% 0.09/0.40 fof(f380,plain,(
% 0.09/0.40 sQ5_spl|~sQ1_spl|~sQ11_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f375,f55,f42,f90])).
% 0.09/0.40 fof(f381,plain,(
% 0.09/0.40 product(e_3,e_1,e_1)|~sQ0_spl|~sQ18_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f40,f330])).
% 0.09/0.40 fof(f385,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_3,e_3)|product(X0,e_3,e_1)|~sQ0_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f40,f32])).
% 0.09/0.40 fof(f386,plain,(
% 0.09/0.40 sQ6_spl|~sQ0_spl|~sQ18_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f381,f59,f39,f117])).
% 0.09/0.40 fof(f387,plain,(
% 0.09/0.40 product(e_3,e_1,e_1)|~sQ3_spl|~sQ21_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f50,f309])).
% 0.09/0.40 fof(f392,plain,(
% 0.09/0.40 sQ6_spl|~sQ3_spl|~sQ21_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f387,f59,f49,f127])).
% 0.09/0.40 fof(f393,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_1,e_1)|equalish(X0,e_2)|~sQ18_spl|~sQ9_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f332,f30])).
% 0.09/0.40 fof(f404,plain,(
% 0.09/0.40 equalish(e_2,e_3)|~sQ17_spl|~sQ7_spl|~sQ13_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f194,f98])).
% 0.09/0.40 fof(f405,plain,(
% 0.09/0.40 $false|~sQ17_spl|~sQ7_spl|~sQ13_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f404,f21])).
% 0.09/0.40 fof(f406,plain,(
% 0.09/0.40 ~sQ17_spl|~sQ7_spl|~sQ13_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f405])).
% 0.09/0.40 fof(f411,plain,(
% 0.09/0.40 product(e_1,e_1,e_1)|~sQ18_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f118,f330])).
% 0.09/0.40 fof(f416,plain,(
% 0.09/0.40 product(e_3,e_2,e_1)|~sQ7_spl|~sQ15_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f63,f219])).
% 0.09/0.40 fof(f421,plain,(
% 0.09/0.40 sQ3_spl|~sQ7_spl|~sQ15_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f416,f49,f62,f104])).
% 0.09/0.40 fof(f435,plain,(
% 0.09/0.40 product(e_1,e_2,e_1)|~sQ22_spl|~sQ12_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f131,f241])).
% 0.09/0.40 fof(f440,plain,(
% 0.09/0.40 sQ21_spl|~sQ22_spl|~sQ12_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f435,f127,f130,f94])).
% 0.09/0.40 fof(f445,plain,(
% 0.09/0.40 equalish(e_2,e_3)|~sQ2_spl|~sQ11_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f179,f91])).
% 0.09/0.40 fof(f447,plain,(
% 0.09/0.40 $false|~sQ2_spl|~sQ11_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f445,f21])).
% 0.09/0.40 fof(f448,plain,(
% 0.09/0.40 ~sQ2_spl|~sQ11_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f447])).
% 0.09/0.40 fof(f449,plain,(
% 0.09/0.40 product(e_2,e_3,e_1)|~sQ0_spl|~sQ11_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f385,f91])).
% 0.09/0.40 fof(f450,plain,(
% 0.09/0.40 sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f449,f84,f39,f90])).
% 0.09/0.40 fof(f452,plain,(
% 0.09/0.40 equalish(e_1,e_2)|~sQ18_spl|~sQ9_spl|~sQ24_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f393,f138])).
% 0.09/0.40 fof(f453,plain,(
% 0.09/0.40 $false|~sQ18_spl|~sQ9_spl|~sQ24_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f452,f18])).
% 0.09/0.40 fof(f454,plain,(
% 0.09/0.40 ~sQ18_spl|~sQ9_spl|~sQ24_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f453])).
% 0.09/0.40 fof(f455,plain,(
% 0.09/0.40 product(e_2,e_1,e_3)|~sQ26_spl|~sQ15_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f261,f105])).
% 0.09/0.40 fof(f456,plain,(
% 0.09/0.40 sQ17_spl|~sQ26_spl|~sQ15_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f455,f110,f143,f104])).
% 0.09/0.40 fof(f457,plain,(
% 0.09/0.40 sQ21_spl|~sQ25_spl|~sQ15_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f270,f127,f140,f104])).
% 0.09/0.40 fof(f477,plain,(
% 0.09/0.40 product(e_3,e_2,e_1)|~sQ15_spl|~sQ7_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f219,f63])).
% 0.09/0.40 fof(f479,plain,(
% 0.09/0.40 product(e_2,e_2,e_2)|~sQ10_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f88,f251])).
% 0.09/0.40 fof(f502,plain,(
% 0.09/0.40 ![X0]: (~product(X0,e_2,e_2)|equalish(X0,e_2)|~sQ10_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f479,f30])).
% 0.09/0.40 fof(f506,plain,(
% 0.09/0.40 equalish(e_1,e_2)|~sQ10_spl|~sQ22_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f502,f131])).
% 0.09/0.40 fof(f508,plain,(
% 0.09/0.40 $false|~sQ10_spl|~sQ22_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f506,f18])).
% 0.09/0.40 fof(f509,plain,(
% 0.09/0.40 ~sQ10_spl|~sQ22_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f508])).
% 0.09/0.40 fof(f511,plain,(
% 0.09/0.40 sQ18_spl|~sQ23_spl|~sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f288,f117,f133,f49])).
% 0.09/0.40 fof(f512,plain,(
% 0.09/0.40 $false|~sQ10_spl|sQ13_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f99,f479])).
% 0.09/0.40 fof(f513,plain,(
% 0.09/0.40 ~sQ10_spl|sQ13_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f512])).
% 0.09/0.40 fof(f514,plain,(
% 0.09/0.40 sQ10_spl|~sQ17_spl|~sQ7_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f184,f87,f110,f62])).
% 0.09/0.40 fof(f528,plain,(
% 0.09/0.40 product(e_3,e_1,e_3)|~sQ23_spl|~sQ15_spl|~sQ7_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f292,f477])).
% 0.09/0.40 fof(f529,plain,(
% 0.09/0.40 sQ8_spl|~sQ23_spl|~sQ15_spl|~sQ7_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f528,f65,f133,f104,f62])).
% 0.09/0.40 fof(f530,plain,(
% 0.09/0.40 equalish(e_1,e_3)|~sQ23_spl|~sQ3_spl|~sQ18_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f294,f411])).
% 0.09/0.40 fof(f531,plain,(
% 0.09/0.40 $false|~sQ23_spl|~sQ3_spl|~sQ18_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f530,f19])).
% 0.09/0.40 fof(f532,plain,(
% 0.09/0.40 ~sQ23_spl|~sQ3_spl|~sQ18_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f531])).
% 0.09/0.40 fof(f533,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f48,f58,f68,f93,f103,f113,f126,f136,f146,f156,f170,f215,f233,f316,f322,f345,f347,f362,f364,f374,f380,f386,f392,f406,f421,f440,f448,f450,f454,f456,f457,f509,f511,f513,f514,f529,f532])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.044181 seconds
% 0.09/0.43 % CPU time: 0.156362 seconds
% 0.09/0.43 % Total memory used: 15.290 MB
% 0.09/0.43 % Net memory used: 14.984 MB
%------------------------------------------------------------------------------