%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP129-1.003 : 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 : n012.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 12:35:55 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP129-1.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 20 20:00:08 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.35 fof(f1,axiom,(
% 0.14/0.35 group_element(e_1) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f2,axiom,(
% 0.14/0.35 group_element(e_2) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f3,axiom,(
% 0.14/0.35 group_element(e_3) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f4,axiom,(
% 0.14/0.35 ~ equalish(e_1,e_2) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f5,axiom,(
% 0.14/0.35 ~ equalish(e_1,e_3) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f6,axiom,(
% 0.14/0.35 ~ equalish(e_2,e_1) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f7,axiom,(
% 0.14/0.35 ~ equalish(e_2,e_3) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f8,axiom,(
% 0.14/0.35 ~ equalish(e_3,e_1) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f9,axiom,(
% 0.14/0.35 ~ equalish(e_3,e_2) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f10,axiom,(
% 0.14/0.35 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f11,axiom,(
% 0.14/0.35 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f12,axiom,(
% 0.14/0.35 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f13,axiom,(
% 0.14/0.35 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f14,negated_conjecture,(
% 0.14/0.35 (![Y,X,Z1,Z2]: (( ~ product(Y,X,Z1)| ~ product(X,Z1,Z2)| product(Z1,Y,Z2) ) ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f15,plain,(
% 0.14/0.35 group_element(e_1)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.35 fof(f16,plain,(
% 0.14/0.35 group_element(e_2)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.35 fof(f17,plain,(
% 0.14/0.35 group_element(e_3)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.35 fof(f18,plain,(
% 0.14/0.35 ~equalish(e_1,e_2)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.35 fof(f19,plain,(
% 0.14/0.35 ~equalish(e_1,e_3)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.35 fof(f20,plain,(
% 0.14/0.35 ~equalish(e_2,e_1)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.35 fof(f21,plain,(
% 0.14/0.35 ~equalish(e_2,e_3)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.35 fof(f22,plain,(
% 0.14/0.35 ~equalish(e_3,e_1)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.35 fof(f23,plain,(
% 0.14/0.35 ~equalish(e_3,e_2)),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.35 fof(f24,plain,(
% 0.14/0.35 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.35 fof(f25,plain,(
% 0.14/0.35 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.14/0.35 inference(miniscoping,[status(thm)],[f11])).
% 0.14/0.35 fof(f26,plain,(
% 0.14/0.35 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.35 fof(f27,plain,(
% 0.14/0.35 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.14/0.35 inference(miniscoping,[status(thm)],[f12])).
% 0.14/0.35 fof(f28,plain,(
% 0.14/0.35 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.35 fof(f29,plain,(
% 0.14/0.35 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.14/0.35 inference(miniscoping,[status(thm)],[f13])).
% 0.14/0.35 fof(f30,plain,(
% 0.14/0.35 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.35 fof(f31,plain,(
% 0.14/0.35 ![Y,Z1,Z2]: ((![X]: (~product(Y,X,Z1)|~product(X,Z1,Z2)))|product(Z1,Y,Z2))),
% 0.14/0.35 inference(miniscoping,[status(thm)],[f14])).
% 0.14/0.35 fof(f32,plain,(
% 0.14/0.35 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X2,X3)|product(X2,X0,X3))),
% 0.14/0.35 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.35 fof(f33,plain,(
% 0.14/0.35 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3))),
% 0.14/0.35 inference(resolution,[status(thm)],[f24,f17])).
% 0.14/0.35 fof(f34,plain,(
% 0.14/0.35 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3))),
% 0.14/0.35 inference(resolution,[status(thm)],[f24,f16])).
% 0.14/0.35 fof(f35,plain,(
% 0.14/0.35 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3))),
% 0.14/0.35 inference(resolution,[status(thm)],[f24,f15])).
% 0.14/0.35 fof(f36,plain,(
% 0.14/0.35 product(e_3,e_3,e_1)|product(e_3,e_3,e_2)|product(e_3,e_3,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f33,f17])).
% 0.14/0.35 fof(f37,plain,(
% 0.14/0.35 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f33,f16])).
% 0.14/0.35 fof(f38,plain,(
% 0.14/0.35 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f33,f15])).
% 0.14/0.35 fof(f39,definition,(
% 0.14/0.35 sQ0_spl <=> (product(e_3,e_3,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f40,plain,(
% 0.14/0.35 product(e_3,e_3,e_1)|~sQ0_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f39])).
% 0.14/0.35 fof(f42,definition,(
% 0.14/0.35 sQ1_spl <=> (product(e_3,e_3,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f43,plain,(
% 0.14/0.35 product(e_3,e_3,e_2)|~sQ1_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f42])).
% 0.14/0.35 fof(f45,definition,(
% 0.14/0.35 sQ2_spl <=> (product(e_3,e_3,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f46,plain,(
% 0.14/0.35 product(e_3,e_3,e_3)|~sQ2_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f45])).
% 0.14/0.35 fof(f48,plain,(
% 0.14/0.35 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f36,f39,f42,f45])).
% 0.14/0.35 fof(f49,definition,(
% 0.14/0.35 sQ3_spl <=> (product(e_3,e_2,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f50,plain,(
% 0.14/0.35 product(e_3,e_2,e_1)|~sQ3_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f49])).
% 0.14/0.35 fof(f52,definition,(
% 0.14/0.35 sQ4_spl <=> (product(e_3,e_2,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f53,plain,(
% 0.14/0.35 product(e_3,e_2,e_2)|~sQ4_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.35 fof(f55,definition,(
% 0.14/0.35 sQ5_spl <=> (product(e_3,e_2,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f56,plain,(
% 0.14/0.35 product(e_3,e_2,e_3)|~sQ5_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f55])).
% 0.14/0.35 fof(f58,plain,(
% 0.14/0.35 sQ3_spl|sQ4_spl|sQ5_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f37,f49,f52,f55])).
% 0.14/0.35 fof(f59,definition,(
% 0.14/0.35 sQ6_spl <=> (product(e_3,e_1,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f60,plain,(
% 0.14/0.35 product(e_3,e_1,e_1)|~sQ6_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f59])).
% 0.14/0.35 fof(f62,definition,(
% 0.14/0.35 sQ7_spl <=> (product(e_3,e_1,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f63,plain,(
% 0.14/0.35 product(e_3,e_1,e_2)|~sQ7_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f62])).
% 0.14/0.35 fof(f65,definition,(
% 0.14/0.35 sQ8_spl <=> (product(e_3,e_1,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f66,plain,(
% 0.14/0.35 product(e_3,e_1,e_3)|~sQ8_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f65])).
% 0.14/0.35 fof(f68,plain,(
% 0.14/0.35 sQ6_spl|sQ7_spl|sQ8_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f38,f59,f62,f65])).
% 0.14/0.35 fof(f72,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_1)|product(e_1,X0,e_3)|~sQ8_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f66,f32])).
% 0.14/0.35 fof(f76,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_1)|product(e_1,X0,e_2)|~sQ7_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f63,f32])).
% 0.14/0.35 fof(f80,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_1)|product(e_1,X0,e_1)|~sQ6_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f60,f32])).
% 0.14/0.35 fof(f81,plain,(
% 0.14/0.35 product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f34,f17])).
% 0.14/0.35 fof(f82,plain,(
% 0.14/0.35 product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f34,f16])).
% 0.14/0.35 fof(f83,plain,(
% 0.14/0.35 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f34,f15])).
% 0.14/0.35 fof(f84,definition,(
% 0.14/0.35 sQ9_spl <=> (product(e_2,e_3,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f85,plain,(
% 0.14/0.35 product(e_2,e_3,e_1)|~sQ9_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f84])).
% 0.14/0.35 fof(f87,definition,(
% 0.14/0.35 sQ10_spl <=> (product(e_2,e_3,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f88,plain,(
% 0.14/0.35 product(e_2,e_3,e_2)|~sQ10_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f87])).
% 0.14/0.35 fof(f90,definition,(
% 0.14/0.35 sQ11_spl <=> (product(e_2,e_3,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f91,plain,(
% 0.14/0.35 product(e_2,e_3,e_3)|~sQ11_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.35 fof(f92,plain,(
% 0.14/0.35 ~product(e_2,e_3,e_3)|sQ11_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.35 fof(f93,plain,(
% 0.14/0.35 sQ9_spl|sQ10_spl|sQ11_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f81,f84,f87,f90])).
% 0.14/0.35 fof(f94,definition,(
% 0.14/0.35 sQ12_spl <=> (product(e_2,e_2,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f95,plain,(
% 0.14/0.35 product(e_2,e_2,e_1)|~sQ12_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f94])).
% 0.14/0.35 fof(f97,definition,(
% 0.14/0.35 sQ13_spl <=> (product(e_2,e_2,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f98,plain,(
% 0.14/0.35 product(e_2,e_2,e_2)|~sQ13_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.35 fof(f100,definition,(
% 0.14/0.35 sQ14_spl <=> (product(e_2,e_2,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f101,plain,(
% 0.14/0.35 product(e_2,e_2,e_3)|~sQ14_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f100])).
% 0.14/0.35 fof(f103,plain,(
% 0.14/0.35 sQ12_spl|sQ13_spl|sQ14_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f82,f94,f97,f100])).
% 0.14/0.35 fof(f104,definition,(
% 0.14/0.35 sQ15_spl <=> (product(e_2,e_1,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f105,plain,(
% 0.14/0.35 product(e_2,e_1,e_1)|~sQ15_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f104])).
% 0.14/0.35 fof(f106,plain,(
% 0.14/0.35 ~product(e_2,e_1,e_1)|sQ15_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f104])).
% 0.14/0.35 fof(f107,definition,(
% 0.14/0.35 sQ16_spl <=> (product(e_2,e_1,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f108,plain,(
% 0.14/0.35 product(e_2,e_1,e_2)|~sQ16_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f107])).
% 0.14/0.35 fof(f110,definition,(
% 0.14/0.35 sQ17_spl <=> (product(e_2,e_1,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f111,plain,(
% 0.14/0.35 product(e_2,e_1,e_3)|~sQ17_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f110])).
% 0.14/0.35 fof(f113,plain,(
% 0.14/0.35 sQ15_spl|sQ16_spl|sQ17_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f83,f104,f107,f110])).
% 0.14/0.35 fof(f114,plain,(
% 0.14/0.35 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f35,f17])).
% 0.14/0.35 fof(f115,plain,(
% 0.14/0.35 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f35,f16])).
% 0.14/0.35 fof(f116,plain,(
% 0.14/0.35 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.14/0.35 inference(resolution,[status(thm)],[f35,f15])).
% 0.14/0.35 fof(f117,definition,(
% 0.14/0.35 sQ18_spl <=> (product(e_1,e_3,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f118,plain,(
% 0.14/0.35 product(e_1,e_3,e_1)|~sQ18_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.35 fof(f120,definition,(
% 0.14/0.35 sQ19_spl <=> (product(e_1,e_3,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f121,plain,(
% 0.14/0.35 product(e_1,e_3,e_2)|~sQ19_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f120])).
% 0.14/0.35 fof(f123,definition,(
% 0.14/0.35 sQ20_spl <=> (product(e_1,e_3,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f124,plain,(
% 0.14/0.35 product(e_1,e_3,e_3)|~sQ20_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f123])).
% 0.14/0.35 fof(f126,plain,(
% 0.14/0.35 sQ18_spl|sQ19_spl|sQ20_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f114,f117,f120,f123])).
% 0.14/0.35 fof(f127,definition,(
% 0.14/0.35 sQ21_spl <=> (product(e_1,e_2,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f128,plain,(
% 0.14/0.35 product(e_1,e_2,e_1)|~sQ21_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f127])).
% 0.14/0.35 fof(f130,definition,(
% 0.14/0.35 sQ22_spl <=> (product(e_1,e_2,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f131,plain,(
% 0.14/0.35 product(e_1,e_2,e_2)|~sQ22_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f130])).
% 0.14/0.35 fof(f133,definition,(
% 0.14/0.35 sQ23_spl <=> (product(e_1,e_2,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f134,plain,(
% 0.14/0.35 product(e_1,e_2,e_3)|~sQ23_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.35 fof(f136,plain,(
% 0.14/0.35 sQ21_spl|sQ22_spl|sQ23_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f115,f127,f130,f133])).
% 0.14/0.35 fof(f137,definition,(
% 0.14/0.35 sQ24_spl <=> (product(e_1,e_1,e_1))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f138,plain,(
% 0.14/0.35 product(e_1,e_1,e_1)|~sQ24_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f137])).
% 0.14/0.35 fof(f140,definition,(
% 0.14/0.35 sQ25_spl <=> (product(e_1,e_1,e_2))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f141,plain,(
% 0.14/0.35 product(e_1,e_1,e_2)|~sQ25_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f140])).
% 0.14/0.35 fof(f143,definition,(
% 0.14/0.35 sQ26_spl <=> (product(e_1,e_1,e_3))),
% 0.14/0.35 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.35 fof(f144,plain,(
% 0.14/0.35 product(e_1,e_1,e_3)|~sQ26_spl),
% 0.14/0.35 inference(component_clause,[status(thm)],[f143])).
% 0.14/0.35 fof(f146,plain,(
% 0.14/0.35 sQ24_spl|sQ25_spl|sQ26_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f116,f137,f140,f143])).
% 0.14/0.35 fof(f150,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_2)|product(e_2,X0,e_3)|~sQ5_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f56,f32])).
% 0.14/0.35 fof(f154,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_2)|product(e_2,X0,e_2)|~sQ4_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f53,f32])).
% 0.14/0.35 fof(f158,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_2)|product(e_2,X0,e_1)|~sQ3_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f50,f32])).
% 0.14/0.35 fof(f167,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_1)|product(e_1,X0,e_3)|~sQ17_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f111,f32])).
% 0.14/0.35 fof(f181,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_1)|product(e_1,X0,e_2)|~sQ16_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f108,f32])).
% 0.14/0.35 fof(f185,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_1)|product(e_1,X0,e_1)|~sQ15_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f105,f32])).
% 0.14/0.35 fof(f189,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_2)|product(e_2,X0,e_3)|~sQ14_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f101,f32])).
% 0.14/0.35 fof(f190,plain,(
% 0.14/0.35 product(e_2,e_3,e_3)|~sQ14_spl|~sQ4_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f189,f53])).
% 0.14/0.35 fof(f192,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_3)|equalish(X0,e_2)|~sQ14_spl|~sQ4_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f190,f30])).
% 0.14/0.35 fof(f197,plain,(
% 0.14/0.35 equalish(e_3,e_2)|~sQ14_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f192,f46])).
% 0.14/0.35 fof(f198,plain,(
% 0.14/0.35 $false|~sQ14_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f197,f23])).
% 0.14/0.35 fof(f199,plain,(
% 0.14/0.35 ~sQ14_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f198])).
% 0.14/0.35 fof(f203,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_2)|product(e_2,X0,e_2)|~sQ13_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f98,f32])).
% 0.14/0.35 fof(f205,plain,(
% 0.14/0.35 product(e_1,e_2,e_1)|~sQ12_spl|~sQ15_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f95,f185])).
% 0.14/0.35 fof(f206,plain,(
% 0.14/0.35 product(e_1,e_2,e_2)|~sQ12_spl|~sQ16_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f95,f181])).
% 0.14/0.35 fof(f210,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_2)|product(e_2,X0,e_1)|~sQ12_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f95,f32])).
% 0.14/0.35 fof(f214,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_1)|equalish(X0,e_1)|~sQ12_spl|~sQ15_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f205,f30])).
% 0.14/0.35 fof(f218,plain,(
% 0.14/0.35 product(e_2,e_1,e_1)|~sQ16_spl|~sQ12_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f206,f210])).
% 0.14/0.35 fof(f233,plain,(
% 0.14/0.35 equalish(e_2,e_1)|~sQ15_spl|~sQ12_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f214,f95])).
% 0.14/0.35 fof(f234,plain,(
% 0.14/0.35 $false|~sQ15_spl|~sQ12_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f233,f20])).
% 0.14/0.35 fof(f235,plain,(
% 0.14/0.35 ~sQ15_spl|~sQ12_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f234])).
% 0.14/0.35 fof(f239,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_3)|product(e_3,X0,e_3)|~sQ11_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f91,f32])).
% 0.14/0.35 fof(f242,plain,(
% 0.14/0.35 product(e_2,e_2,e_3)|~sQ10_spl|~sQ5_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f88,f150])).
% 0.14/0.35 fof(f246,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_3)|product(e_3,X0,e_2)|~sQ10_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f88,f32])).
% 0.14/0.35 fof(f247,plain,(
% 0.14/0.35 sQ14_spl|~sQ10_spl|~sQ5_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f242,f100,f87,f55])).
% 0.14/0.35 fof(f259,plain,(
% 0.14/0.35 sQ15_spl|~sQ16_spl|~sQ12_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f218,f104,f107,f94])).
% 0.14/0.35 fof(f260,plain,(
% 0.14/0.35 product(e_1,e_2,e_3)|~sQ9_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f85,f72])).
% 0.14/0.35 fof(f264,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_2,e_3)|product(e_3,X0,e_1)|~sQ9_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f85,f32])).
% 0.14/0.35 fof(f272,plain,(
% 0.14/0.35 product(e_3,e_1,e_1)|~sQ9_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f264,f260])).
% 0.14/0.35 fof(f275,plain,(
% 0.14/0.35 ![X0]: (~product(e_3,e_1,X0)|equalish(X0,e_1)|~sQ9_spl|~sQ8_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f272,f26])).
% 0.14/0.35 fof(f280,plain,(
% 0.14/0.35 equalish(e_3,e_1)|~sQ9_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f275,f66])).
% 0.14/0.35 fof(f281,plain,(
% 0.14/0.35 $false|~sQ9_spl|~sQ8_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f280,f22])).
% 0.14/0.35 fof(f282,plain,(
% 0.14/0.35 ~sQ9_spl|~sQ8_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f281])).
% 0.14/0.35 fof(f286,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_1)|product(e_1,X0,e_3)|~sQ26_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f144,f32])).
% 0.14/0.35 fof(f290,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_1)|product(e_1,X0,e_2)|~sQ25_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f141,f32])).
% 0.14/0.35 fof(f296,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_1)|product(e_1,X0,e_1)|~sQ24_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f138,f32])).
% 0.14/0.35 fof(f302,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_2)|product(e_2,X0,e_3)|~sQ23_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f134,f32])).
% 0.14/0.35 fof(f311,plain,(
% 0.14/0.35 product(e_2,e_1,e_2)|~sQ22_spl|~sQ13_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f131,f203])).
% 0.14/0.35 fof(f315,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_2)|product(e_2,X0,e_2)|~sQ22_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f131,f32])).
% 0.14/0.35 fof(f317,plain,(
% 0.14/0.35 ![X0]: (~product(e_2,X0,e_2)|equalish(X0,e_1)|~sQ22_spl|~sQ13_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f311,f28])).
% 0.14/0.35 fof(f320,plain,(
% 0.14/0.35 product(e_2,e_2,e_2)|~sQ22_spl|~sQ13_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f315,f311])).
% 0.14/0.35 fof(f322,plain,(
% 0.14/0.35 product(e_1,e_1,e_1)|~sQ21_spl|~sQ15_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f128,f185])).
% 0.14/0.35 fof(f326,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_2)|product(e_2,X0,e_1)|~sQ21_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f128,f32])).
% 0.14/0.35 fof(f330,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_3)|product(e_3,X0,e_3)|~sQ20_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f124,f32])).
% 0.14/0.35 fof(f331,plain,(
% 0.14/0.35 product(e_2,e_1,e_1)|~sQ19_spl|~sQ3_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f121,f158])).
% 0.14/0.35 fof(f335,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_3)|product(e_3,X0,e_2)|~sQ19_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f121,f32])).
% 0.14/0.35 fof(f336,plain,(
% 0.14/0.35 product(e_1,e_1,e_1)|~sQ18_spl|~sQ6_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f118,f80])).
% 0.14/0.35 fof(f337,plain,(
% 0.14/0.35 product(e_1,e_1,e_2)|~sQ18_spl|~sQ7_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f118,f76])).
% 0.14/0.35 fof(f341,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_3)|product(e_3,X0,e_1)|~sQ18_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f118,f32])).
% 0.14/0.35 fof(f343,plain,(
% 0.14/0.35 product(e_2,e_3,e_2)|~sQ7_spl|~sQ22_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f63,f315])).
% 0.14/0.35 fof(f350,plain,(
% 0.14/0.35 product(e_1,e_3,e_1)|~sQ6_spl|~sQ24_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f60,f296])).
% 0.14/0.35 fof(f351,plain,(
% 0.14/0.35 product(e_1,e_3,e_3)|~sQ6_spl|~sQ26_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f60,f286])).
% 0.14/0.35 fof(f356,plain,(
% 0.14/0.35 product(e_2,e_3,e_1)|~sQ1_spl|~sQ3_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f43,f158])).
% 0.14/0.35 fof(f361,plain,(
% 0.14/0.35 sQ9_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f356,f84,f42,f49])).
% 0.14/0.35 fof(f364,plain,(
% 0.14/0.35 ![X0]: (~product(e_1,X0,e_1)|equalish(X0,e_3)|~sQ6_spl|~sQ24_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f350,f28])).
% 0.14/0.35 fof(f370,plain,(
% 0.14/0.35 equalish(e_1,e_3)|~sQ6_spl|~sQ24_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f364,f138])).
% 0.14/0.35 fof(f373,plain,(
% 0.14/0.35 sQ24_spl|~sQ21_spl|~sQ15_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f322,f137,f127,f104])).
% 0.14/0.35 fof(f383,plain,(
% 0.14/0.35 equalish(e_2,e_1)|~sQ22_spl|~sQ13_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f317,f320])).
% 0.14/0.35 fof(f385,plain,(
% 0.14/0.35 $false|~sQ22_spl|~sQ13_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f383,f20])).
% 0.14/0.35 fof(f386,plain,(
% 0.14/0.35 ~sQ22_spl|~sQ13_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f385])).
% 0.14/0.35 fof(f387,plain,(
% 0.14/0.35 sQ24_spl|~sQ18_spl|~sQ6_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f336,f137,f117,f59])).
% 0.14/0.35 fof(f388,plain,(
% 0.14/0.35 product(e_3,e_1,e_3)|~sQ20_spl|~sQ26_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f330,f144])).
% 0.14/0.35 fof(f389,plain,(
% 0.14/0.35 sQ8_spl|~sQ20_spl|~sQ26_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f388,f65,f123,f143])).
% 0.14/0.35 fof(f390,plain,(
% 0.14/0.35 product(e_1,e_3,e_2)|~sQ25_spl|~sQ6_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f290,f60])).
% 0.14/0.35 fof(f391,plain,(
% 0.14/0.35 product(e_2,e_1,e_3)|~sQ25_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f390,f150])).
% 0.14/0.35 fof(f393,plain,(
% 0.14/0.35 ![X0]: (~product(e_1,X0,e_2)|equalish(X0,e_3)|~sQ25_spl|~sQ6_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f390,f28])).
% 0.14/0.35 fof(f396,plain,(
% 0.14/0.35 product(e_3,e_2,e_2)|~sQ25_spl|~sQ6_spl|~sQ5_spl|~sQ19_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f391,f335])).
% 0.14/0.35 fof(f397,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_1,e_3)|equalish(X0,e_2)|~sQ25_spl|~sQ6_spl|~sQ5_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f391,f30])).
% 0.14/0.35 fof(f401,plain,(
% 0.14/0.35 product(e_2,e_3,e_1)|~sQ25_spl|~sQ6_spl|~sQ5_spl|~sQ19_spl|~sQ12_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f396,f210])).
% 0.14/0.35 fof(f406,plain,(
% 0.14/0.35 product(e_1,e_2,e_1)|~sQ25_spl|~sQ5_spl|~sQ19_spl|~sQ12_spl|~sQ6_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f401,f80])).
% 0.14/0.35 fof(f411,plain,(
% 0.14/0.35 product(e_1,e_1,e_3)|~sQ25_spl|~sQ5_spl|~sQ19_spl|~sQ12_spl|~sQ6_spl|~sQ17_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f406,f167])).
% 0.14/0.35 fof(f430,plain,(
% 0.14/0.35 equalish(e_1,e_2)|~sQ25_spl|~sQ5_spl|~sQ19_spl|~sQ12_spl|~sQ6_spl|~sQ17_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f397,f411])).
% 0.14/0.35 fof(f431,plain,(
% 0.14/0.35 $false|~sQ25_spl|~sQ5_spl|~sQ19_spl|~sQ12_spl|~sQ6_spl|~sQ17_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f430,f18])).
% 0.14/0.35 fof(f432,plain,(
% 0.14/0.35 ~sQ25_spl|~sQ5_spl|~sQ19_spl|~sQ12_spl|~sQ6_spl|~sQ17_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f431])).
% 0.14/0.35 fof(f433,plain,(
% 0.14/0.35 sQ20_spl|~sQ6_spl|~sQ26_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f351,f123,f59,f143])).
% 0.14/0.35 fof(f434,plain,(
% 0.14/0.35 sQ19_spl|~sQ25_spl|~sQ6_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f390,f120,f140,f59])).
% 0.14/0.35 fof(f435,plain,(
% 0.14/0.35 $false|~sQ6_spl|~sQ24_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f370,f19])).
% 0.14/0.35 fof(f436,plain,(
% 0.14/0.35 ~sQ6_spl|~sQ24_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f435])).
% 0.14/0.35 fof(f442,plain,(
% 0.14/0.35 product(e_1,e_3,e_3)|~sQ0_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f40,f72])).
% 0.14/0.35 fof(f446,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_3)|product(e_3,X0,e_1)|~sQ0_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f40,f32])).
% 0.14/0.35 fof(f454,plain,(
% 0.14/0.35 product(e_3,e_1,e_1)|~sQ0_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f446,f442])).
% 0.14/0.35 fof(f455,plain,(
% 0.14/0.35 sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f454,f59,f39,f65])).
% 0.14/0.35 fof(f470,plain,(
% 0.14/0.35 sQ25_spl|~sQ18_spl|~sQ7_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f337,f140,f117,f62])).
% 0.14/0.35 fof(f477,plain,(
% 0.14/0.35 sQ10_spl|~sQ7_spl|~sQ22_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f343,f87,f62,f130])).
% 0.14/0.35 fof(f478,plain,(
% 0.14/0.35 product(e_1,e_2,e_2)|~sQ9_spl|~sQ7_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f85,f76])).
% 0.14/0.35 fof(f483,plain,(
% 0.14/0.35 sQ22_spl|~sQ9_spl|~sQ7_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f478,f130,f84,f62])).
% 0.14/0.35 fof(f484,plain,(
% 0.14/0.35 product(e_2,e_3,e_1)|~sQ7_spl|~sQ21_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f63,f326])).
% 0.14/0.35 fof(f489,plain,(
% 0.14/0.35 sQ9_spl|~sQ7_spl|~sQ21_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f484,f84,f62,f127])).
% 0.14/0.35 fof(f490,plain,(
% 0.14/0.35 product(e_2,e_3,e_2)|~sQ22_spl|~sQ7_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f315,f63])).
% 0.14/0.35 fof(f491,plain,(
% 0.14/0.35 product(e_2,e_2,e_1)|~sQ22_spl|~sQ7_spl|~sQ3_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f490,f158])).
% 0.14/0.35 fof(f494,plain,(
% 0.14/0.35 ![X0]: (~product(e_2,e_3,X0)|equalish(X0,e_2)|~sQ22_spl|~sQ7_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f490,f26])).
% 0.14/0.35 fof(f496,plain,(
% 0.14/0.35 sQ12_spl|~sQ22_spl|~sQ7_spl|~sQ3_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f491,f94,f130,f62,f49])).
% 0.14/0.35 fof(f505,plain,(
% 0.14/0.35 product(e_2,e_1,e_2)|~sQ25_spl|~sQ22_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f141,f315])).
% 0.14/0.35 fof(f506,plain,(
% 0.14/0.35 product(e_2,e_1,e_1)|~sQ25_spl|~sQ21_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f141,f326])).
% 0.14/0.35 fof(f511,plain,(
% 0.14/0.35 sQ16_spl|~sQ25_spl|~sQ22_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f505,f107,f140,f130])).
% 0.14/0.35 fof(f512,plain,(
% 0.14/0.35 sQ15_spl|~sQ25_spl|~sQ21_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f506,f104,f140,f127])).
% 0.14/0.35 fof(f526,plain,(
% 0.14/0.35 equalish(e_1,e_2)|~sQ22_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f494,f85])).
% 0.14/0.35 fof(f528,plain,(
% 0.14/0.35 $false|~sQ22_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f526,f18])).
% 0.14/0.35 fof(f529,plain,(
% 0.14/0.35 ~sQ22_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f528])).
% 0.14/0.35 fof(f530,plain,(
% 0.14/0.35 product(e_2,e_2,e_3)|~sQ5_spl|~sQ22_spl|~sQ7_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f150,f490])).
% 0.14/0.35 fof(f531,plain,(
% 0.14/0.35 product(e_3,e_2,e_2)|~sQ5_spl|~sQ22_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f530,f246])).
% 0.14/0.35 fof(f536,plain,(
% 0.14/0.35 sQ4_spl|~sQ5_spl|~sQ22_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f531,f52,f55,f130,f62,f87])).
% 0.14/0.35 fof(f538,plain,(
% 0.14/0.35 product(e_2,e_3,e_3)|~sQ23_spl|~sQ7_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f302,f63])).
% 0.14/0.35 fof(f540,plain,(
% 0.14/0.35 sQ11_spl|~sQ14_spl|~sQ4_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f190,f90,f100,f52])).
% 0.14/0.35 fof(f551,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_3)|equalish(X0,e_2)|~sQ23_spl|~sQ7_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f538,f30])).
% 0.14/0.35 fof(f552,plain,(
% 0.14/0.35 ![X0]: (~product(e_2,X0,e_3)|equalish(X0,e_3)|~sQ23_spl|~sQ7_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f538,f28])).
% 0.14/0.35 fof(f558,plain,(
% 0.14/0.35 product(e_2,e_1,e_3)|~sQ23_spl|~sQ25_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f302,f141])).
% 0.14/0.35 fof(f561,plain,(
% 0.14/0.35 equalish(e_1,e_3)|~sQ25_spl|~sQ23_spl|~sQ7_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f558,f552])).
% 0.14/0.35 fof(f567,plain,(
% 0.14/0.35 $false|~sQ25_spl|~sQ23_spl|~sQ7_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f561,f19])).
% 0.14/0.35 fof(f568,plain,(
% 0.14/0.35 ~sQ25_spl|~sQ23_spl|~sQ7_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f567])).
% 0.14/0.35 fof(f569,plain,(
% 0.14/0.35 $false|~sQ23_spl|~sQ7_spl|sQ11_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f92,f538])).
% 0.14/0.35 fof(f570,plain,(
% 0.14/0.35 ~sQ23_spl|~sQ7_spl|sQ11_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f569])).
% 0.14/0.35 fof(f595,plain,(
% 0.14/0.35 product(e_2,e_2,e_2)|~sQ4_spl|~sQ22_spl|~sQ7_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f154,f490])).
% 0.14/0.35 fof(f596,plain,(
% 0.14/0.35 sQ13_spl|~sQ4_spl|~sQ22_spl|~sQ7_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f595,f97,f52,f130,f62])).
% 0.14/0.35 fof(f613,plain,(
% 0.14/0.35 equalish(e_1,e_2)|~sQ20_spl|~sQ23_spl|~sQ7_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f124,f551])).
% 0.14/0.35 fof(f619,plain,(
% 0.14/0.35 $false|~sQ20_spl|~sQ23_spl|~sQ7_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f613,f18])).
% 0.14/0.35 fof(f620,plain,(
% 0.14/0.35 ~sQ20_spl|~sQ23_spl|~sQ7_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f619])).
% 0.14/0.35 fof(f686,plain,(
% 0.14/0.35 $false|~sQ19_spl|~sQ3_spl|sQ15_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f106,f331])).
% 0.14/0.35 fof(f687,plain,(
% 0.14/0.35 ~sQ19_spl|~sQ3_spl|sQ15_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f686])).
% 0.14/0.35 fof(f689,plain,(
% 0.14/0.35 product(e_2,e_1,e_3)|~sQ22_spl|~sQ14_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f131,f189])).
% 0.14/0.35 fof(f694,plain,(
% 0.14/0.35 sQ17_spl|~sQ22_spl|~sQ14_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f689,f110,f130,f100])).
% 0.14/0.35 fof(f696,plain,(
% 0.14/0.35 product(e_2,e_3,e_3)|~sQ1_spl|~sQ5_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f43,f150])).
% 0.14/0.35 fof(f701,plain,(
% 0.14/0.35 sQ11_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f696,f90,f42,f55])).
% 0.14/0.35 fof(f702,plain,(
% 0.14/0.35 product(e_3,e_3,e_3)|~sQ5_spl|~sQ11_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f56,f239])).
% 0.14/0.35 fof(f710,plain,(
% 0.14/0.35 ![X0]: (~product(e_3,X0,e_3)|equalish(X0,e_3)|~sQ5_spl|~sQ11_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f702,f28])).
% 0.14/0.35 fof(f714,plain,(
% 0.14/0.35 equalish(e_2,e_3)|~sQ11_spl|~sQ5_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f710,f56])).
% 0.14/0.35 fof(f716,plain,(
% 0.14/0.35 $false|~sQ11_spl|~sQ5_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f714,f21])).
% 0.14/0.35 fof(f717,plain,(
% 0.14/0.35 ~sQ11_spl|~sQ5_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f716])).
% 0.14/0.35 fof(f727,plain,(
% 0.14/0.35 product(e_3,e_1,e_3)|~sQ23_spl|~sQ11_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f134,f239])).
% 0.14/0.35 fof(f738,plain,(
% 0.14/0.35 product(e_1,e_3,e_1)|~sQ3_spl|~sQ15_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f50,f185])).
% 0.14/0.35 fof(f743,plain,(
% 0.14/0.35 sQ18_spl|~sQ3_spl|~sQ15_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f738,f117,f49,f104])).
% 0.14/0.35 fof(f754,plain,(
% 0.14/0.35 product(e_3,e_3,e_1)|~sQ18_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f341,f66])).
% 0.14/0.35 fof(f755,plain,(
% 0.14/0.35 sQ0_spl|~sQ18_spl|~sQ8_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f754,f39,f117,f65])).
% 0.14/0.35 fof(f767,plain,(
% 0.14/0.35 product(e_3,e_3,e_2)|~sQ19_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f335,f66])).
% 0.14/0.35 fof(f769,plain,(
% 0.14/0.35 ![X0]: (~product(X0,e_3,e_2)|equalish(X0,e_3)|~sQ19_spl|~sQ8_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f767,f30])).
% 0.14/0.35 fof(f774,plain,(
% 0.14/0.35 product(e_3,e_2,e_2)|~sQ23_spl|~sQ25_spl|~sQ19_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f558,f335])).
% 0.14/0.35 fof(f779,plain,(
% 0.14/0.35 product(e_2,e_3,e_1)|~sQ23_spl|~sQ25_spl|~sQ19_spl|~sQ12_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f774,f210])).
% 0.14/0.35 fof(f797,plain,(
% 0.14/0.35 product(e_1,e_2,e_1)|~sQ6_spl|~sQ23_spl|~sQ25_spl|~sQ19_spl|~sQ12_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f80,f779])).
% 0.14/0.35 fof(f798,plain,(
% 0.14/0.35 sQ21_spl|~sQ6_spl|~sQ23_spl|~sQ25_spl|~sQ19_spl|~sQ12_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f797,f127,f59,f133,f140,f120,f94])).
% 0.14/0.35 fof(f799,plain,(
% 0.14/0.35 product(e_2,e_3,e_2)|~sQ19_spl|~sQ8_spl|~sQ4_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f767,f154])).
% 0.14/0.35 fof(f807,plain,(
% 0.14/0.35 equalish(e_2,e_3)|~sQ4_spl|~sQ19_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f799,f769])).
% 0.14/0.35 fof(f813,plain,(
% 0.14/0.35 $false|~sQ4_spl|~sQ19_spl|~sQ8_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f807,f21])).
% 0.14/0.35 fof(f814,plain,(
% 0.14/0.35 ~sQ4_spl|~sQ19_spl|~sQ8_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f813])).
% 0.14/0.35 fof(f815,plain,(
% 0.14/0.35 product(e_3,e_2,e_3)|~sQ17_spl|~sQ20_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f111,f330])).
% 0.14/0.35 fof(f820,plain,(
% 0.14/0.35 sQ5_spl|~sQ17_spl|~sQ20_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f815,f55,f110,f123])).
% 0.14/0.35 fof(f831,plain,(
% 0.14/0.35 product(e_3,e_2,e_2)|~sQ19_spl|~sQ17_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f335,f111])).
% 0.14/0.35 fof(f834,plain,(
% 0.14/0.35 product(e_2,e_3,e_2)|~sQ4_spl|~sQ13_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f53,f203])).
% 0.14/0.35 fof(f839,plain,(
% 0.14/0.35 product(e_2,e_2,e_2)|~sQ13_spl|~sQ4_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f834,f154])).
% 0.14/0.35 fof(f841,plain,(
% 0.14/0.35 ![X0]: (~product(e_2,X0,e_2)|equalish(X0,e_3)|~sQ4_spl|~sQ13_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f834,f28])).
% 0.14/0.35 fof(f850,plain,(
% 0.14/0.35 equalish(e_2,e_3)|~sQ13_spl|~sQ4_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f841,f839])).
% 0.14/0.35 fof(f852,plain,(
% 0.14/0.35 $false|~sQ13_spl|~sQ4_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f850,f21])).
% 0.14/0.35 fof(f853,plain,(
% 0.14/0.35 ~sQ13_spl|~sQ4_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f852])).
% 0.14/0.35 fof(f854,plain,(
% 0.14/0.35 sQ4_spl|~sQ25_spl|~sQ6_spl|~sQ5_spl|~sQ19_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f396,f52,f140,f59,f55,f120])).
% 0.14/0.35 fof(f855,plain,(
% 0.14/0.35 sQ4_spl|~sQ19_spl|~sQ17_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f831,f52,f120,f110])).
% 0.14/0.35 fof(f856,plain,(
% 0.14/0.35 sQ1_spl|~sQ19_spl|~sQ8_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f767,f42,f120,f65])).
% 0.14/0.35 fof(f886,plain,(
% 0.14/0.35 product(e_3,e_3,e_3)|~sQ8_spl|~sQ20_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f66,f330])).
% 0.14/0.35 fof(f893,plain,(
% 0.14/0.35 ![X0]: (~product(e_3,X0,e_3)|equalish(X0,e_3)|~sQ8_spl|~sQ20_spl)),
% 0.14/0.35 inference(resolution,[status(thm)],[f886,f28])).
% 0.14/0.35 fof(f898,plain,(
% 0.14/0.35 equalish(e_1,e_3)|~sQ20_spl|~sQ8_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f893,f66])).
% 0.14/0.35 fof(f899,plain,(
% 0.14/0.35 $false|~sQ20_spl|~sQ8_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f898,f19])).
% 0.14/0.35 fof(f900,plain,(
% 0.14/0.35 ~sQ20_spl|~sQ8_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f899])).
% 0.14/0.35 fof(f901,plain,(
% 0.14/0.35 equalish(e_2,e_3)|~sQ22_spl|~sQ25_spl|~sQ6_spl),
% 0.14/0.35 inference(resolution,[status(thm)],[f131,f393])).
% 0.14/0.35 fof(f907,plain,(
% 0.14/0.35 $false|~sQ22_spl|~sQ25_spl|~sQ6_spl),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f901,f21])).
% 0.14/0.35 fof(f908,plain,(
% 0.14/0.35 ~sQ22_spl|~sQ25_spl|~sQ6_spl),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f907])).
% 0.14/0.35 fof(f909,plain,(
% 0.14/0.35 sQ8_spl|~sQ23_spl|~sQ11_spl),
% 0.14/0.35 inference(split_clause,[status(thm)],[f727,f65,f133,f90])).
% 0.14/0.35 fof(f910,plain,(
% 0.14/0.35 $false),
% 0.14/0.35 inference(sat_refutation,[status(thm)],[f48,f58,f68,f93,f103,f113,f126,f136,f146,f199,f235,f247,f259,f282,f361,f373,f386,f387,f389,f432,f433,f434,f436,f455,f470,f477,f483,f489,f496,f511,f512,f529,f536,f540,f568,f570,f596,f620,f687,f694,f701,f717,f743,f755,f798,f814,f820,f853,f854,f855,f856,f900,f908,f909])).
% 0.14/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.066648 seconds
% 0.14/0.38 % CPU time: 0.202795 seconds
% 0.14/0.38 % Total memory used: 17.817 MB
% 0.14/0.38 % Net memory used: 17.417 MB
%------------------------------------------------------------------------------