%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP134-1.003 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:36:02 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP134-1.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.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 : Sun Sep 20 20:03:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,axiom,(
% 0.12/0.41 group_element(e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f2,axiom,(
% 0.12/0.41 group_element(e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 group_element(e_3) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f4,axiom,(
% 0.12/0.41 ~ equalish(e_1,e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f5,axiom,(
% 0.12/0.41 ~ equalish(e_1,e_3) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f6,axiom,(
% 0.12/0.41 ~ equalish(e_2,e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,axiom,(
% 0.12/0.41 ~ equalish(e_2,e_3) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,axiom,(
% 0.12/0.41 ~ equalish(e_3,e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f9,axiom,(
% 0.12/0.41 ~ equalish(e_3,e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f10,axiom,(
% 0.12/0.41 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f11,axiom,(
% 0.12/0.41 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f12,axiom,(
% 0.12/0.41 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f13,axiom,(
% 0.12/0.41 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f14,negated_conjecture,(
% 0.12/0.41 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(Y,X,Z2)| product(Z1,Z2,Y) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f15,plain,(
% 0.12/0.41 group_element(e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.41 fof(f16,plain,(
% 0.12/0.41 group_element(e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f17,plain,(
% 0.12/0.41 group_element(e_3)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.41 fof(f18,plain,(
% 0.12/0.41 ~equalish(e_1,e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.41 fof(f19,plain,(
% 0.12/0.41 ~equalish(e_1,e_3)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f20,plain,(
% 0.12/0.41 ~equalish(e_2,e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.41 fof(f21,plain,(
% 0.12/0.41 ~equalish(e_2,e_3)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.41 fof(f22,plain,(
% 0.12/0.41 ~equalish(e_3,e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.41 fof(f23,plain,(
% 0.12/0.41 ~equalish(e_3,e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.41 fof(f24,plain,(
% 0.12/0.41 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.41 fof(f25,plain,(
% 0.12/0.41 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f11])).
% 0.12/0.41 fof(f26,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.41 fof(f27,plain,(
% 0.12/0.41 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f12])).
% 0.12/0.41 fof(f28,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.41 fof(f29,plain,(
% 0.12/0.41 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f13])).
% 0.12/0.41 fof(f30,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.41 fof(f31,plain,(
% 0.12/0.41 ![Y,Z1,Z2]: ((![X]: (~product(X,Y,Z1)|~product(Y,X,Z2)))|product(Z1,Z2,Y))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f14])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X0,X3)|product(X2,X3,X1))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.41 fof(f33,plain,(
% 0.12/0.41 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3))),
% 0.12/0.41 inference(resolution,[status(thm)],[f24,f17])).
% 0.12/0.41 fof(f34,plain,(
% 0.12/0.41 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3))),
% 0.12/0.41 inference(resolution,[status(thm)],[f24,f16])).
% 0.12/0.41 fof(f35,plain,(
% 0.12/0.41 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3))),
% 0.12/0.41 inference(resolution,[status(thm)],[f24,f15])).
% 0.12/0.41 fof(f37,plain,(
% 0.12/0.41 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f33,f16])).
% 0.12/0.41 fof(f38,plain,(
% 0.12/0.41 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f33,f15])).
% 0.12/0.41 fof(f39,definition,(
% 0.12/0.41 sQ0_spl <=> (product(e_3,e_3,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f40,plain,(
% 0.12/0.41 product(e_3,e_3,e_1)|~sQ0_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f39])).
% 0.12/0.41 fof(f42,definition,(
% 0.12/0.41 sQ1_spl <=> (product(e_3,e_3,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f43,plain,(
% 0.12/0.41 product(e_3,e_3,e_2)|~sQ1_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f42])).
% 0.12/0.41 fof(f45,definition,(
% 0.12/0.41 sQ2_spl <=> (product(e_3,e_3,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f46,plain,(
% 0.12/0.41 product(e_3,e_3,e_3)|~sQ2_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f45])).
% 0.12/0.41 fof(f49,definition,(
% 0.12/0.41 sQ3_spl <=> (product(e_3,e_2,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f50,plain,(
% 0.12/0.41 product(e_3,e_2,e_1)|~sQ3_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f49])).
% 0.12/0.41 fof(f52,definition,(
% 0.12/0.41 sQ4_spl <=> (product(e_3,e_2,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f53,plain,(
% 0.12/0.41 product(e_3,e_2,e_2)|~sQ4_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f52])).
% 0.12/0.41 fof(f55,definition,(
% 0.12/0.41 sQ5_spl <=> (product(e_3,e_2,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f56,plain,(
% 0.12/0.41 product(e_3,e_2,e_3)|~sQ5_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f55])).
% 0.12/0.41 fof(f58,plain,(
% 0.12/0.41 sQ3_spl|sQ4_spl|sQ5_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f37,f49,f52,f55])).
% 0.12/0.41 fof(f59,definition,(
% 0.12/0.41 sQ6_spl <=> (product(e_3,e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f60,plain,(
% 0.12/0.41 product(e_3,e_1,e_1)|~sQ6_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f59])).
% 0.12/0.41 fof(f61,plain,(
% 0.12/0.41 ~product(e_3,e_1,e_1)|sQ6_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f59])).
% 0.12/0.41 fof(f62,definition,(
% 0.12/0.41 sQ7_spl <=> (product(e_3,e_1,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f63,plain,(
% 0.12/0.41 product(e_3,e_1,e_2)|~sQ7_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f62])).
% 0.12/0.41 fof(f64,plain,(
% 0.12/0.41 ~product(e_3,e_1,e_2)|sQ7_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f62])).
% 0.12/0.41 fof(f65,definition,(
% 0.12/0.41 sQ8_spl <=> (product(e_3,e_1,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f66,plain,(
% 0.12/0.41 product(e_3,e_1,e_3)|~sQ8_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f65])).
% 0.12/0.41 fof(f68,plain,(
% 0.12/0.41 sQ6_spl|sQ7_spl|sQ8_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f38,f59,f62,f65])).
% 0.12/0.41 fof(f72,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_3,X0)|product(X0,e_3,e_3)|~sQ8_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f66,f32])).
% 0.12/0.41 fof(f76,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_3,X0)|product(X0,e_2,e_3)|~sQ7_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f63,f32])).
% 0.12/0.41 fof(f80,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_3,X0)|product(X0,e_1,e_3)|~sQ6_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f60,f32])).
% 0.12/0.41 fof(f81,plain,(
% 0.12/0.41 product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f34,f17])).
% 0.12/0.41 fof(f82,plain,(
% 0.12/0.41 product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f34,f16])).
% 0.12/0.41 fof(f83,plain,(
% 0.12/0.41 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f34,f15])).
% 0.12/0.41 fof(f84,definition,(
% 0.12/0.41 sQ9_spl <=> (product(e_2,e_3,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f85,plain,(
% 0.12/0.41 product(e_2,e_3,e_1)|~sQ9_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f84])).
% 0.12/0.41 fof(f87,definition,(
% 0.12/0.41 sQ10_spl <=> (product(e_2,e_3,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f88,plain,(
% 0.12/0.41 product(e_2,e_3,e_2)|~sQ10_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f87])).
% 0.12/0.41 fof(f90,definition,(
% 0.12/0.41 sQ11_spl <=> (product(e_2,e_3,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f91,plain,(
% 0.12/0.41 product(e_2,e_3,e_3)|~sQ11_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f90])).
% 0.12/0.41 fof(f93,plain,(
% 0.12/0.41 sQ9_spl|sQ10_spl|sQ11_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f81,f84,f87,f90])).
% 0.12/0.41 fof(f94,definition,(
% 0.12/0.41 sQ12_spl <=> (product(e_2,e_2,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f95,plain,(
% 0.12/0.41 product(e_2,e_2,e_1)|~sQ12_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f94])).
% 0.12/0.41 fof(f97,definition,(
% 0.12/0.41 sQ13_spl <=> (product(e_2,e_2,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f98,plain,(
% 0.12/0.41 product(e_2,e_2,e_2)|~sQ13_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.41 fof(f100,definition,(
% 0.12/0.41 sQ14_spl <=> (product(e_2,e_2,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f101,plain,(
% 0.12/0.41 product(e_2,e_2,e_3)|~sQ14_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f100])).
% 0.12/0.41 fof(f103,plain,(
% 0.12/0.41 sQ12_spl|sQ13_spl|sQ14_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f82,f94,f97,f100])).
% 0.12/0.41 fof(f104,definition,(
% 0.12/0.41 sQ15_spl <=> (product(e_2,e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f105,plain,(
% 0.12/0.41 product(e_2,e_1,e_1)|~sQ15_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f104])).
% 0.12/0.41 fof(f107,definition,(
% 0.12/0.41 sQ16_spl <=> (product(e_2,e_1,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f108,plain,(
% 0.12/0.41 product(e_2,e_1,e_2)|~sQ16_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f107])).
% 0.12/0.41 fof(f110,definition,(
% 0.12/0.41 sQ17_spl <=> (product(e_2,e_1,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f111,plain,(
% 0.12/0.41 product(e_2,e_1,e_3)|~sQ17_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f110])).
% 0.12/0.41 fof(f113,plain,(
% 0.12/0.41 sQ15_spl|sQ16_spl|sQ17_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f83,f104,f107,f110])).
% 0.12/0.41 fof(f114,plain,(
% 0.12/0.41 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f35,f17])).
% 0.12/0.41 fof(f115,plain,(
% 0.12/0.41 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f35,f16])).
% 0.12/0.41 fof(f116,plain,(
% 0.12/0.41 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f35,f15])).
% 0.12/0.41 fof(f117,definition,(
% 0.12/0.41 sQ18_spl <=> (product(e_1,e_3,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f118,plain,(
% 0.12/0.41 product(e_1,e_3,e_1)|~sQ18_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.41 fof(f120,definition,(
% 0.12/0.41 sQ19_spl <=> (product(e_1,e_3,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f121,plain,(
% 0.12/0.41 product(e_1,e_3,e_2)|~sQ19_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f120])).
% 0.12/0.41 fof(f123,definition,(
% 0.12/0.41 sQ20_spl <=> (product(e_1,e_3,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f124,plain,(
% 0.12/0.41 product(e_1,e_3,e_3)|~sQ20_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f123])).
% 0.12/0.41 fof(f126,plain,(
% 0.12/0.41 sQ18_spl|sQ19_spl|sQ20_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f114,f117,f120,f123])).
% 0.12/0.41 fof(f127,definition,(
% 0.12/0.41 sQ21_spl <=> (product(e_1,e_2,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f128,plain,(
% 0.12/0.41 product(e_1,e_2,e_1)|~sQ21_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f127])).
% 0.12/0.41 fof(f130,definition,(
% 0.12/0.41 sQ22_spl <=> (product(e_1,e_2,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f131,plain,(
% 0.12/0.41 product(e_1,e_2,e_2)|~sQ22_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f130])).
% 0.12/0.41 fof(f133,definition,(
% 0.12/0.41 sQ23_spl <=> (product(e_1,e_2,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f134,plain,(
% 0.12/0.41 product(e_1,e_2,e_3)|~sQ23_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.41 fof(f136,plain,(
% 0.12/0.41 sQ21_spl|sQ22_spl|sQ23_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f115,f127,f130,f133])).
% 0.12/0.41 fof(f137,definition,(
% 0.12/0.41 sQ24_spl <=> (product(e_1,e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f138,plain,(
% 0.12/0.41 product(e_1,e_1,e_1)|~sQ24_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f137])).
% 0.12/0.41 fof(f140,definition,(
% 0.12/0.41 sQ25_spl <=> (product(e_1,e_1,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f141,plain,(
% 0.12/0.41 product(e_1,e_1,e_2)|~sQ25_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f140])).
% 0.12/0.41 fof(f143,definition,(
% 0.12/0.41 sQ26_spl <=> (product(e_1,e_1,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f144,plain,(
% 0.12/0.41 product(e_1,e_1,e_3)|~sQ26_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f143])).
% 0.12/0.41 fof(f146,plain,(
% 0.12/0.41 sQ24_spl|sQ25_spl|sQ26_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f116,f137,f140,f143])).
% 0.12/0.41 fof(f150,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_3,X0)|product(X0,e_3,e_3)|~sQ5_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f56,f32])).
% 0.12/0.41 fof(f154,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_3,X0)|product(X0,e_2,e_3)|~sQ4_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f53,f32])).
% 0.12/0.41 fof(f158,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_3,X0)|product(X0,e_1,e_3)|~sQ3_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f50,f32])).
% 0.12/0.41 fof(f167,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_2,X0)|product(X0,e_3,e_2)|~sQ17_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f111,f32])).
% 0.12/0.41 fof(f171,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_2,X0)|product(X0,e_2,e_2)|~sQ16_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f108,f32])).
% 0.12/0.41 fof(f175,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_2,X0)|product(X0,e_1,e_2)|~sQ15_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f105,f32])).
% 0.12/0.41 fof(f179,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_2,X0)|product(X0,e_3,e_2)|~sQ14_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f101,f32])).
% 0.12/0.41 fof(f180,plain,(
% 0.12/0.41 product(e_3,e_3,e_2)|~sQ14_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f179,f101])).
% 0.12/0.41 fof(f183,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,X0,e_2)|equalish(X0,e_3)|~sQ14_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f180,f28])).
% 0.12/0.41 fof(f185,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_3,X0)|product(X0,e_2,e_3)|~sQ14_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f180,f32])).
% 0.12/0.41 fof(f196,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ14_spl|~sQ7_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f183,f63])).
% 0.12/0.41 fof(f202,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_2,X0)|product(X0,e_2,e_2)|~sQ13_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f98,f32])).
% 0.12/0.41 fof(f204,plain,(
% 0.12/0.41 product(e_1,e_2,e_2)|~sQ12_spl|~sQ13_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f95,f202])).
% 0.12/0.41 fof(f208,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_2,X0)|product(X0,e_1,e_2)|~sQ12_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f95,f32])).
% 0.12/0.41 fof(f209,plain,(
% 0.12/0.41 product(e_1,e_1,e_2)|~sQ12_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f208,f95])).
% 0.12/0.41 fof(f214,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_2,e_2)|equalish(X0,e_1)|~sQ12_spl|~sQ13_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f204,f30])).
% 0.12/0.41 fof(f218,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_1,e_2)|equalish(X0,e_1)|~sQ12_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f209,f30])).
% 0.12/0.41 fof(f219,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,X0,e_2)|equalish(X0,e_1)|~sQ12_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f209,f28])).
% 0.12/0.41 fof(f220,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_1,X0)|equalish(X0,e_2)|~sQ12_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f209,f26])).
% 0.12/0.41 fof(f229,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ12_spl|~sQ13_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f214,f98])).
% 0.12/0.41 fof(f230,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ13_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f229,f20])).
% 0.12/0.41 fof(f231,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ13_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f230])).
% 0.12/0.41 fof(f232,plain,(
% 0.12/0.41 product(e_3,e_1,e_3)|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f91,f158])).
% 0.12/0.41 fof(f233,plain,(
% 0.12/0.41 product(e_3,e_3,e_3)|~sQ11_spl|~sQ5_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f91,f150])).
% 0.12/0.41 fof(f237,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_2,X0)|product(X0,e_3,e_2)|~sQ11_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f91,f32])).
% 0.12/0.41 fof(f238,plain,(
% 0.12/0.41 product(e_1,e_3,e_2)|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f237,f50])).
% 0.12/0.41 fof(f239,plain,(
% 0.12/0.41 product(e_3,e_3,e_2)|~sQ11_spl|~sQ5_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f237,f56])).
% 0.12/0.41 fof(f240,plain,(
% 0.12/0.41 product(e_2,e_1,e_3)|~sQ11_spl|~sQ3_spl|~sQ6_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f238,f80])).
% 0.12/0.41 fof(f241,plain,(
% 0.12/0.41 product(e_2,e_2,e_3)|~sQ11_spl|~sQ3_spl|~sQ7_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f238,f76])).
% 0.12/0.41 fof(f243,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_3,e_2)|equalish(X0,e_1)|~sQ11_spl|~sQ3_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f238,f30])).
% 0.12/0.41 fof(f244,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,X0,e_2)|equalish(X0,e_3)|~sQ11_spl|~sQ3_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f238,f28])).
% 0.12/0.41 fof(f247,plain,(
% 0.12/0.41 sQ14_spl|~sQ11_spl|~sQ3_spl|~sQ7_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f241,f100,f90,f49,f62])).
% 0.12/0.41 fof(f267,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ12_spl|~sQ16_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f218,f108])).
% 0.12/0.41 fof(f268,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ16_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f267,f20])).
% 0.12/0.41 fof(f269,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ16_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f268])).
% 0.12/0.41 fof(f270,plain,(
% 0.12/0.41 product(e_2,e_2,e_3)|~sQ10_spl|~sQ4_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f88,f154])).
% 0.12/0.41 fof(f271,plain,(
% 0.12/0.41 product(e_2,e_3,e_3)|~sQ10_spl|~sQ5_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f88,f150])).
% 0.12/0.41 fof(f275,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_2,X0)|product(X0,e_2,e_2)|~sQ10_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f88,f32])).
% 0.12/0.41 fof(f276,plain,(
% 0.12/0.41 sQ14_spl|~sQ10_spl|~sQ4_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f270,f100,f87,f52])).
% 0.12/0.41 fof(f277,plain,(
% 0.12/0.41 sQ11_spl|~sQ10_spl|~sQ5_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f271,f90,f87,f55])).
% 0.12/0.41 fof(f285,plain,(
% 0.12/0.41 product(e_2,e_2,e_3)|~sQ14_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f185,f180])).
% 0.12/0.41 fof(f287,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_2,e_3)|equalish(X0,e_2)|~sQ14_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f285,f30])).
% 0.12/0.41 fof(f288,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,X0,e_3)|equalish(X0,e_2)|~sQ14_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f285,f28])).
% 0.12/0.41 fof(f293,plain,(
% 0.12/0.41 equalish(e_1,e_2)|~sQ14_spl|~sQ17_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f288,f111])).
% 0.12/0.41 fof(f294,plain,(
% 0.12/0.41 $false|~sQ14_spl|~sQ17_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f293,f18])).
% 0.12/0.41 fof(f295,plain,(
% 0.12/0.41 ~sQ14_spl|~sQ17_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f294])).
% 0.12/0.41 fof(f298,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_1,X0)|equalish(X0,e_2)|~sQ12_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f209,f26])).
% 0.12/0.41 fof(f309,plain,(
% 0.12/0.41 product(e_1,e_1,e_3)|~sQ9_spl|~sQ3_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f85,f158])).
% 0.12/0.41 fof(f313,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_2,X0)|product(X0,e_1,e_2)|~sQ9_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f85,f32])).
% 0.12/0.41 fof(f315,plain,(
% 0.12/0.41 equalish(e_3,e_2)|~sQ26_spl|~sQ12_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f144,f220])).
% 0.12/0.41 fof(f319,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_1,X0)|product(X0,e_3,e_1)|~sQ26_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f144,f32])).
% 0.12/0.41 fof(f320,plain,(
% 0.12/0.41 $false|~sQ26_spl|~sQ12_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f315,f23])).
% 0.12/0.41 fof(f321,plain,(
% 0.12/0.41 ~sQ26_spl|~sQ12_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f320])).
% 0.12/0.41 fof(f325,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_1,X0)|product(X0,e_2,e_1)|~sQ25_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f141,f32])).
% 0.12/0.41 fof(f329,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_1,X0)|product(X0,e_1,e_1)|~sQ24_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f138,f32])).
% 0.12/0.41 fof(f330,plain,(
% 0.12/0.41 product(e_3,e_1,e_2)|~sQ23_spl|~sQ15_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f134,f175])).
% 0.12/0.41 fof(f334,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_1,X0)|product(X0,e_3,e_1)|~sQ23_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f134,f32])).
% 0.12/0.41 fof(f335,plain,(
% 0.12/0.41 product(e_2,e_1,e_2)|~sQ22_spl|~sQ15_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f131,f175])).
% 0.12/0.41 fof(f339,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_1,X0)|product(X0,e_2,e_1)|~sQ22_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f131,f32])).
% 0.12/0.41 fof(f340,plain,(
% 0.12/0.41 product(e_1,e_1,e_2)|~sQ21_spl|~sQ15_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f128,f175])).
% 0.12/0.41 fof(f344,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_1,X0)|product(X0,e_1,e_1)|~sQ21_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f128,f32])).
% 0.12/0.41 fof(f349,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_1,X0)|product(X0,e_3,e_1)|~sQ20_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f124,f32])).
% 0.12/0.41 fof(f350,plain,(
% 0.12/0.41 product(e_2,e_3,e_3)|~sQ19_spl|~sQ8_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f121,f72])).
% 0.12/0.41 fof(f354,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_1,X0)|product(X0,e_2,e_1)|~sQ19_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f121,f32])).
% 0.12/0.41 fof(f355,plain,(
% 0.12/0.41 sQ11_spl|~sQ19_spl|~sQ8_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f350,f90,f120,f65])).
% 0.12/0.41 fof(f357,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,X0,e_3)|equalish(X0,e_1)|~sQ9_spl|~sQ3_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f309,f28])).
% 0.12/0.41 fof(f360,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_1,e_2)|equalish(X0,e_3)|~sQ23_spl|~sQ15_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f330,f30])).
% 0.12/0.41 fof(f365,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,X0,e_2)|equalish(X0,e_1)|~sQ22_spl|~sQ15_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f335,f28])).
% 0.12/0.41 fof(f370,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ9_spl|~sQ3_spl|~sQ23_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f357,f134])).
% 0.12/0.41 fof(f374,plain,(
% 0.12/0.41 sQ17_spl|~sQ11_spl|~sQ3_spl|~sQ6_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f240,f110,f90,f49,f59])).
% 0.12/0.41 fof(f375,plain,(
% 0.12/0.41 $false|~sQ14_spl|~sQ7_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f196,f19])).
% 0.12/0.41 fof(f376,plain,(
% 0.12/0.41 ~sQ14_spl|~sQ7_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f375])).
% 0.12/0.41 fof(f377,plain,(
% 0.12/0.41 sQ16_spl|~sQ22_spl|~sQ15_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f335,f107,f130,f104])).
% 0.12/0.41 fof(f378,plain,(
% 0.12/0.41 $false|~sQ23_spl|~sQ15_spl|sQ7_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f64,f330])).
% 0.12/0.41 fof(f379,plain,(
% 0.12/0.41 ~sQ23_spl|~sQ15_spl|sQ7_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f378])).
% 0.12/0.41 fof(f381,plain,(
% 0.12/0.41 product(e_2,e_2,e_1)|~sQ25_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f325,f141])).
% 0.12/0.41 fof(f384,plain,(
% 0.12/0.41 product(e_1,e_1,e_1)|~sQ21_spl|~sQ15_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f344,f105])).
% 0.12/0.41 fof(f396,plain,(
% 0.12/0.41 equalish(e_1,e_2)|~sQ12_spl|~sQ24_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f298,f138])).
% 0.12/0.41 fof(f398,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ24_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f396,f18])).
% 0.12/0.41 fof(f399,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ24_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f398])).
% 0.12/0.41 fof(f400,plain,(
% 0.12/0.41 sQ12_spl|~sQ25_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f381,f94,f140])).
% 0.12/0.41 fof(f401,plain,(
% 0.12/0.41 sQ2_spl|~sQ11_spl|~sQ5_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f233,f45,f90,f55])).
% 0.12/0.41 fof(f402,plain,(
% 0.12/0.41 sQ24_spl|~sQ21_spl|~sQ15_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f384,f137,f127,f104])).
% 0.12/0.41 fof(f419,plain,(
% 0.12/0.41 product(e_1,e_1,e_3)|~sQ18_spl|~sQ6_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f118,f80])).
% 0.12/0.41 fof(f423,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_1,X0)|product(X0,e_1,e_1)|~sQ18_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f118,f32])).
% 0.12/0.41 fof(f424,plain,(
% 0.12/0.41 product(e_3,e_1,e_1)|~sQ18_spl|~sQ6_spl|~sQ24_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f419,f329])).
% 0.12/0.41 fof(f427,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,e_1,X0)|equalish(X0,e_3)|~sQ18_spl|~sQ6_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f419,f26])).
% 0.12/0.41 fof(f439,plain,(
% 0.12/0.41 product(e_1,e_1,e_1)|~sQ18_spl|~sQ6_spl|~sQ24_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f423,f424])).
% 0.12/0.41 fof(f440,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ24_spl|~sQ18_spl|~sQ6_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f439,f427])).
% 0.12/0.41 fof(f447,plain,(
% 0.12/0.41 $false|~sQ24_spl|~sQ18_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f440,f19])).
% 0.12/0.41 fof(f448,plain,(
% 0.12/0.41 ~sQ24_spl|~sQ18_spl|~sQ6_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f447])).
% 0.12/0.41 fof(f449,plain,(
% 0.12/0.41 product(e_1,e_2,e_3)|~sQ7_spl|~sQ18_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f76,f118])).
% 0.12/0.41 fof(f472,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_3,X0)|product(X0,e_1,e_3)|~sQ0_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f40,f32])).
% 0.12/0.41 fof(f473,plain,(
% 0.12/0.41 product(e_1,e_1,e_3)|~sQ0_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f472,f40])).
% 0.12/0.41 fof(f479,plain,(
% 0.12/0.41 product(e_3,e_1,e_1)|~sQ0_spl|~sQ24_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f473,f329])).
% 0.12/0.41 fof(f480,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_1,e_3)|equalish(X0,e_1)|~sQ0_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f473,f30])).
% 0.12/0.41 fof(f491,plain,(
% 0.12/0.41 product(e_1,e_3,e_2)|~sQ21_spl|~sQ17_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f128,f167])).
% 0.12/0.41 fof(f492,plain,(
% 0.12/0.41 product(e_1,e_2,e_2)|~sQ21_spl|~sQ16_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f128,f171])).
% 0.12/0.41 fof(f497,plain,(
% 0.12/0.41 product(e_2,e_1,e_3)|~sQ21_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f491,f80])).
% 0.12/0.41 fof(f524,plain,(
% 0.12/0.41 product(e_3,e_2,e_1)|~sQ17_spl|~sQ22_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f111,f339])).
% 0.12/0.41 fof(f535,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_1,e_3)|equalish(X0,e_3)|~sQ11_spl|~sQ3_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f232,f30])).
% 0.12/0.41 fof(f536,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,X0,e_3)|equalish(X0,e_1)|~sQ11_spl|~sQ3_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f232,f28])).
% 0.12/0.41 fof(f547,plain,(
% 0.12/0.41 equalish(e_2,e_3)|~sQ11_spl|~sQ3_spl|~sQ17_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f535,f111])).
% 0.12/0.41 fof(f549,plain,(
% 0.12/0.41 $false|~sQ11_spl|~sQ3_spl|~sQ17_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f547,f21])).
% 0.12/0.41 fof(f550,plain,(
% 0.12/0.41 ~sQ11_spl|~sQ3_spl|~sQ17_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f549])).
% 0.12/0.41 fof(f551,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ22_spl|~sQ15_spl|~sQ13_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f365,f98])).
% 0.12/0.41 fof(f552,plain,(
% 0.12/0.41 $false|~sQ22_spl|~sQ15_spl|~sQ13_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f551,f20])).
% 0.12/0.41 fof(f553,plain,(
% 0.12/0.41 ~sQ22_spl|~sQ15_spl|~sQ13_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f552])).
% 0.12/0.41 fof(f554,plain,(
% 0.12/0.41 sQ3_spl|~sQ17_spl|~sQ22_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f524,f49,f110,f130])).
% 0.12/0.41 fof(f556,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,X0,e_2)|equalish(X0,e_3)|~sQ21_spl|~sQ17_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f491,f28])).
% 0.12/0.41 fof(f560,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_3,e_2)|equalish(X0,e_3)|~sQ11_spl|~sQ5_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f239,f30])).
% 0.12/0.41 fof(f562,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_3,X0)|equalish(X0,e_2)|~sQ11_spl|~sQ5_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f239,f26])).
% 0.12/0.41 fof(f604,plain,(
% 0.12/0.41 equalish(e_3,e_1)|~sQ1_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f43,f243])).
% 0.12/0.41 fof(f609,plain,(
% 0.12/0.41 $false|~sQ1_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f604,f22])).
% 0.12/0.41 fof(f610,plain,(
% 0.12/0.41 ~sQ1_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f609])).
% 0.12/0.41 fof(f612,plain,(
% 0.12/0.41 equalish(e_2,e_3)|~sQ22_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f131,f244])).
% 0.12/0.41 fof(f617,plain,(
% 0.12/0.41 $false|~sQ22_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f612,f21])).
% 0.12/0.41 fof(f618,plain,(
% 0.12/0.41 ~sQ22_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f617])).
% 0.12/0.41 fof(f619,plain,(
% 0.12/0.41 sQ22_spl|~sQ21_spl|~sQ16_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f492,f130,f127,f107])).
% 0.12/0.41 fof(f620,plain,(
% 0.12/0.41 sQ25_spl|~sQ21_spl|~sQ15_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f340,f140,f127,f104])).
% 0.12/0.41 fof(f622,plain,(
% 0.12/0.41 equalish(e_3,e_1)|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f46,f536])).
% 0.12/0.41 fof(f628,plain,(
% 0.12/0.41 $false|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f622,f22])).
% 0.12/0.41 fof(f629,plain,(
% 0.12/0.41 ~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f628])).
% 0.12/0.41 fof(f641,plain,(
% 0.12/0.41 product(e_2,e_2,e_1)|~sQ16_spl|~sQ22_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f108,f339])).
% 0.12/0.41 fof(f646,plain,(
% 0.12/0.41 sQ12_spl|~sQ16_spl|~sQ22_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f641,f94,f107,f130])).
% 0.12/0.41 fof(f647,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ19_spl|~sQ11_spl|~sQ5_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f121,f560])).
% 0.12/0.41 fof(f652,plain,(
% 0.12/0.41 $false|~sQ19_spl|~sQ11_spl|~sQ5_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f647,f19])).
% 0.12/0.41 fof(f653,plain,(
% 0.12/0.41 ~sQ19_spl|~sQ11_spl|~sQ5_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f652])).
% 0.12/0.41 fof(f654,plain,(
% 0.12/0.41 sQ6_spl|~sQ0_spl|~sQ24_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f479,f59,f39,f137])).
% 0.12/0.41 fof(f661,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,X0,e_3)|equalish(X0,e_1)|~sQ0_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f473,f28])).
% 0.12/0.41 fof(f677,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ0_spl|~sQ21_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f480,f497])).
% 0.12/0.41 fof(f679,plain,(
% 0.12/0.41 $false|~sQ0_spl|~sQ21_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f677,f20])).
% 0.12/0.41 fof(f680,plain,(
% 0.12/0.41 ~sQ0_spl|~sQ21_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f679])).
% 0.12/0.41 fof(f683,plain,(
% 0.12/0.41 product(e_3,e_2,e_3)|~sQ4_spl|~sQ11_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f154,f91])).
% 0.12/0.41 fof(f684,plain,(
% 0.12/0.41 sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f683,f55,f52,f90])).
% 0.12/0.41 fof(f685,plain,(
% 0.12/0.41 product(e_2,e_2,e_1)|~sQ23_spl|~sQ15_spl|~sQ19_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f330,f354])).
% 0.12/0.41 fof(f690,plain,(
% 0.12/0.41 sQ12_spl|~sQ23_spl|~sQ15_spl|~sQ19_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f685,f94,f133,f104,f120])).
% 0.12/0.41 fof(f706,plain,(
% 0.12/0.41 product(e_2,e_1,e_3)|~sQ0_spl|~sQ14_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f472,f180])).
% 0.12/0.41 fof(f707,plain,(
% 0.12/0.41 sQ17_spl|~sQ0_spl|~sQ14_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f706,f110,f39,f100])).
% 0.12/0.41 fof(f718,plain,(
% 0.12/0.41 product(e_1,e_2,e_2)|~sQ3_spl|~sQ10_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f50,f275])).
% 0.12/0.41 fof(f723,plain,(
% 0.12/0.41 sQ22_spl|~sQ3_spl|~sQ10_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f718,f130,f49,f87])).
% 0.12/0.41 fof(f724,plain,(
% 0.12/0.41 product(e_1,e_2,e_1)|~sQ6_spl|~sQ19_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f60,f354])).
% 0.12/0.41 fof(f729,plain,(
% 0.12/0.41 sQ21_spl|~sQ6_spl|~sQ19_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f724,f127,f59,f120])).
% 0.12/0.41 fof(f733,plain,(
% 0.12/0.41 equalish(e_1,e_2)|~sQ23_spl|~sQ14_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f134,f287])).
% 0.12/0.41 fof(f739,plain,(
% 0.12/0.41 $false|~sQ23_spl|~sQ14_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f733,f18])).
% 0.12/0.41 fof(f740,plain,(
% 0.12/0.41 ~sQ23_spl|~sQ14_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f739])).
% 0.12/0.41 fof(f756,plain,(
% 0.12/0.41 product(e_3,e_1,e_1)|~sQ17_spl|~sQ21_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f111,f344])).
% 0.12/0.41 fof(f770,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_1,e_1)|equalish(X0,e_3)|~sQ17_spl|~sQ21_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f756,f30])).
% 0.12/0.41 fof(f787,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ17_spl|~sQ21_spl|~sQ24_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f770,f138])).
% 0.12/0.41 fof(f788,plain,(
% 0.12/0.41 $false|~sQ17_spl|~sQ21_spl|~sQ24_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f787,f19])).
% 0.12/0.41 fof(f789,plain,(
% 0.12/0.41 ~sQ17_spl|~sQ21_spl|~sQ24_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f788])).
% 0.12/0.41 fof(f794,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ12_spl|~sQ21_spl|~sQ17_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f209,f556])).
% 0.12/0.41 fof(f799,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ21_spl|~sQ17_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f794,f19])).
% 0.12/0.41 fof(f800,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ21_spl|~sQ17_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f799])).
% 0.12/0.41 fof(f803,plain,(
% 0.12/0.41 product(e_1,e_3,e_3)|~sQ5_spl|~sQ9_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f150,f85])).
% 0.12/0.41 fof(f804,plain,(
% 0.12/0.41 sQ20_spl|~sQ5_spl|~sQ9_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f803,f123,f55,f84])).
% 0.12/0.41 fof(f805,plain,(
% 0.12/0.41 product(e_3,e_2,e_1)|~sQ22_spl|~sQ17_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f339,f111])).
% 0.12/0.41 fof(f806,plain,(
% 0.12/0.41 product(e_1,e_2,e_2)|~sQ22_spl|~sQ17_spl|~sQ10_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f805,f275])).
% 0.12/0.41 fof(f814,plain,(
% 0.12/0.41 $false|~sQ17_spl|~sQ21_spl|sQ6_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f61,f756])).
% 0.12/0.41 fof(f815,plain,(
% 0.12/0.41 ~sQ17_spl|~sQ21_spl|sQ6_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f814])).
% 0.12/0.41 fof(f830,plain,(
% 0.12/0.41 product(e_3,e_3,e_1)|~sQ26_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f144,f319])).
% 0.12/0.41 fof(f836,plain,(
% 0.12/0.41 sQ0_spl|~sQ26_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f830,f39,f143])).
% 0.12/0.41 fof(f840,plain,(
% 0.12/0.41 sQ26_spl|~sQ9_spl|~sQ3_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f309,f143,f84,f49])).
% 0.12/0.41 fof(f846,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_2,e_2)|equalish(X0,e_1)|~sQ22_spl|~sQ17_spl|~sQ10_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f806,f30])).
% 0.12/0.41 fof(f861,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ22_spl|~sQ17_spl|~sQ10_spl|~sQ13_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f846,f98])).
% 0.12/0.41 fof(f862,plain,(
% 0.12/0.41 $false|~sQ22_spl|~sQ17_spl|~sQ10_spl|~sQ13_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f861,f20])).
% 0.12/0.41 fof(f863,plain,(
% 0.12/0.41 ~sQ22_spl|~sQ17_spl|~sQ10_spl|~sQ13_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f862])).
% 0.12/0.41 fof(f869,plain,(
% 0.12/0.41 product(e_3,e_3,e_1)|~sQ23_spl|~sQ17_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f334,f111])).
% 0.12/0.41 fof(f870,plain,(
% 0.12/0.41 sQ0_spl|~sQ23_spl|~sQ17_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f869,f39,f133,f110])).
% 0.12/0.41 fof(f888,plain,(
% 0.12/0.41 product(e_2,e_1,e_1)|~sQ23_spl|~sQ15_spl|~sQ18_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f330,f423])).
% 0.12/0.41 fof(f894,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_1,e_1)|equalish(X0,e_2)|~sQ23_spl|~sQ15_spl|~sQ18_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f888,f30])).
% 0.12/0.41 fof(f903,plain,(
% 0.12/0.41 equalish(e_3,e_2)|~sQ11_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f562,f46])).
% 0.12/0.41 fof(f904,plain,(
% 0.12/0.41 $false|~sQ11_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f903,f23])).
% 0.12/0.41 fof(f905,plain,(
% 0.12/0.41 ~sQ11_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f904])).
% 0.12/0.41 fof(f933,plain,(
% 0.12/0.41 product(e_1,e_3,e_3)|~sQ8_spl|~sQ18_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f72,f118])).
% 0.12/0.41 fof(f934,plain,(
% 0.12/0.41 product(e_3,e_3,e_3)|~sQ18_spl|~sQ8_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f933,f72])).
% 0.12/0.41 fof(f935,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_3,e_3)|equalish(X0,e_1)|~sQ8_spl|~sQ18_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f933,f30])).
% 0.12/0.41 fof(f940,plain,(
% 0.12/0.41 equalish(e_3,e_1)|~sQ8_spl|~sQ18_spl|~sQ2_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f935,f46])).
% 0.12/0.41 fof(f941,plain,(
% 0.12/0.41 $false|~sQ8_spl|~sQ18_spl|~sQ2_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f940,f22])).
% 0.12/0.41 fof(f942,plain,(
% 0.12/0.41 ~sQ8_spl|~sQ18_spl|~sQ2_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f941])).
% 0.12/0.41 fof(f943,plain,(
% 0.12/0.41 sQ2_spl|~sQ18_spl|~sQ8_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f934,f45,f117,f65])).
% 0.12/0.41 fof(f944,plain,(
% 0.12/0.41 product(e_3,e_2,e_2)|~sQ23_spl|~sQ16_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f134,f171])).
% 0.12/0.41 fof(f950,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_2,e_2)|equalish(X0,e_3)|~sQ23_spl|~sQ16_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f944,f30])).
% 0.12/0.41 fof(f965,plain,(
% 0.12/0.41 equalish(e_2,e_3)|~sQ23_spl|~sQ16_spl|~sQ13_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f950,f98])).
% 0.12/0.41 fof(f966,plain,(
% 0.12/0.41 $false|~sQ23_spl|~sQ16_spl|~sQ13_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f965,f21])).
% 0.12/0.41 fof(f967,plain,(
% 0.12/0.41 ~sQ23_spl|~sQ16_spl|~sQ13_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f966])).
% 0.12/0.41 fof(f968,plain,(
% 0.12/0.41 product(e_2,e_3,e_1)|~sQ23_spl|~sQ15_spl|~sQ20_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f330,f349])).
% 0.12/0.41 fof(f990,plain,(
% 0.12/0.41 equalish(e_1,e_2)|~sQ23_spl|~sQ15_spl|~sQ18_spl|~sQ24_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f894,f138])).
% 0.12/0.41 fof(f992,plain,(
% 0.12/0.41 $false|~sQ23_spl|~sQ15_spl|~sQ18_spl|~sQ24_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f990,f18])).
% 0.12/0.41 fof(f993,plain,(
% 0.12/0.41 ~sQ23_spl|~sQ15_spl|~sQ18_spl|~sQ24_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f992])).
% 0.12/0.41 fof(f995,plain,(
% 0.12/0.41 product(e_1,e_3,e_3)|~sQ5_spl|~sQ23_spl|~sQ15_spl|~sQ20_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f150,f968])).
% 0.12/0.41 fof(f1001,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,X0,e_3)|equalish(X0,e_3)|~sQ5_spl|~sQ23_spl|~sQ15_spl|~sQ20_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f995,f28])).
% 0.12/0.41 fof(f1011,plain,(
% 0.12/0.41 equalish(e_2,e_3)|~sQ5_spl|~sQ15_spl|~sQ20_spl|~sQ23_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f1001,f134])).
% 0.12/0.41 fof(f1012,plain,(
% 0.12/0.41 $false|~sQ5_spl|~sQ15_spl|~sQ20_spl|~sQ23_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1011,f21])).
% 0.12/0.41 fof(f1013,plain,(
% 0.12/0.41 ~sQ5_spl|~sQ15_spl|~sQ20_spl|~sQ23_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1012])).
% 0.12/0.41 fof(f1020,plain,(
% 0.12/0.41 product(e_3,e_2,e_3)|~sQ20_spl|~sQ7_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f124,f76])).
% 0.12/0.41 fof(f1025,plain,(
% 0.12/0.41 sQ5_spl|~sQ20_spl|~sQ7_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f1020,f55,f123,f62])).
% 0.12/0.41 fof(f1026,plain,(
% 0.12/0.41 sQ26_spl|~sQ0_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f473,f143,f39])).
% 0.12/0.41 fof(f1057,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ12_spl|~sQ22_spl|~sQ17_spl|~sQ10_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f219,f806])).
% 0.12/0.41 fof(f1059,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ22_spl|~sQ17_spl|~sQ10_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1057,f20])).
% 0.12/0.41 fof(f1060,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ22_spl|~sQ17_spl|~sQ10_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1059])).
% 0.12/0.41 fof(f1085,plain,(
% 0.12/0.41 equalish(e_3,e_1)|~sQ0_spl|~sQ20_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f661,f124])).
% 0.12/0.41 fof(f1086,plain,(
% 0.12/0.41 $false|~sQ0_spl|~sQ20_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1085,f22])).
% 0.12/0.41 fof(f1087,plain,(
% 0.12/0.41 ~sQ0_spl|~sQ20_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1086])).
% 0.12/0.41 fof(f1088,plain,(
% 0.12/0.41 $false|~sQ9_spl|~sQ3_spl|~sQ23_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f370,f20])).
% 0.12/0.41 fof(f1089,plain,(
% 0.12/0.41 ~sQ9_spl|~sQ3_spl|~sQ23_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1088])).
% 0.12/0.41 fof(f1092,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ7_spl|~sQ18_spl|~sQ0_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f449,f661])).
% 0.12/0.41 fof(f1097,plain,(
% 0.12/0.41 $false|~sQ7_spl|~sQ18_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1092,f20])).
% 0.12/0.41 fof(f1098,plain,(
% 0.12/0.41 ~sQ7_spl|~sQ18_spl|~sQ0_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1097])).
% 0.12/0.41 fof(f1129,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ23_spl|~sQ15_spl|~sQ12_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f360,f209])).
% 0.12/0.41 fof(f1130,plain,(
% 0.12/0.41 $false|~sQ23_spl|~sQ15_spl|~sQ12_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1129,f19])).
% 0.12/0.41 fof(f1131,plain,(
% 0.12/0.41 ~sQ23_spl|~sQ15_spl|~sQ12_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1130])).
% 0.12/0.41 fof(f1132,plain,(
% 0.12/0.41 product(e_1,e_1,e_2)|~sQ22_spl|~sQ17_spl|~sQ9_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f805,f313])).
% 0.12/0.41 fof(f1137,plain,(
% 0.12/0.41 sQ25_spl|~sQ22_spl|~sQ17_spl|~sQ9_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f1132,f140,f130,f110,f84])).
% 0.12/0.41 fof(f1160,plain,(
% 0.12/0.41 product(e_1,e_2,e_3)|~sQ4_spl|~sQ9_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f154,f85])).
% 0.12/0.41 fof(f1161,plain,(
% 0.12/0.41 product(e_3,e_3,e_2)|~sQ4_spl|~sQ9_spl|~sQ17_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f1160,f167])).
% 0.12/0.41 fof(f1169,plain,(
% 0.12/0.41 product(e_2,e_1,e_3)|~sQ4_spl|~sQ9_spl|~sQ17_spl|~sQ0_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f1161,f472])).
% 0.12/0.41 fof(f1185,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ4_spl|~sQ9_spl|~sQ17_spl|~sQ0_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f480,f1169])).
% 0.12/0.41 fof(f1187,plain,(
% 0.12/0.41 $false|~sQ4_spl|~sQ9_spl|~sQ17_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1185,f20])).
% 0.12/0.41 fof(f1188,plain,(
% 0.12/0.41 ~sQ4_spl|~sQ9_spl|~sQ17_spl|~sQ0_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1187])).
% 0.12/0.41 fof(f1189,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f58,f68,f93,f103,f113,f126,f136,f146,f231,f247,f269,f276,f277,f295,f321,f355,f374,f376,f377,f379,f399,f400,f401,f402,f448,f550,f553,f554,f610,f618,f619,f620,f629,f646,f653,f654,f680,f684,f690,f707,f723,f729,f740,f789,f800,f804,f815,f836,f840,f863,f870,f905,f942,f943,f967,f993,f1013,f1025,f1026,f1060,f1087,f1089,f1098,f1131,f1137,f1188])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.057082 seconds
% 0.12/0.43 % CPU time: 0.262906 seconds
% 0.12/0.43 % Total memory used: 18.415 MB
% 0.12/0.43 % Net memory used: 18.133 MB
%------------------------------------------------------------------------------