%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP126-1.004 : 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 : n020.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 12:35:50 PM UTC 2026
% Result : Unsatisfiable 0.16s 15.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/15.39 % Computer : n020.cluster.edu
% 0.12/15.39 % Model : x86_64 x86_64
% 0.12/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.39 % Memory : 8046.5625MB
% 0.12/15.39 % OS : Linux 6.8.0-71-generic
% 0.12/15.39 % CPULimit : 300
% 0.12/15.39 % WCLimit : 300
% 0.12/15.39 % DateTime : Sun Sep 20 20:00:48 UTC 2026
% 0.12/15.39 % CPUTime :
% 0.16/15.40 % Drodi V4.1.1
% 0.16/15.42 % Refutation found
% 0.16/15.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/15.42 % SZS output start CNFRefutation for theBenchmark
% 0.16/15.42 fof(f1,axiom,(
% 0.16/15.42 group_element(e_1) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f2,axiom,(
% 0.16/15.42 group_element(e_2) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f3,axiom,(
% 0.16/15.42 group_element(e_3) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f4,axiom,(
% 0.16/15.42 group_element(e_4) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f5,axiom,(
% 0.16/15.42 ~ equalish(e_1,e_2) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f6,axiom,(
% 0.16/15.42 ~ equalish(e_1,e_3) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f7,axiom,(
% 0.16/15.42 ~ equalish(e_1,e_4) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f8,axiom,(
% 0.16/15.42 ~ equalish(e_2,e_1) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f9,axiom,(
% 0.16/15.42 ~ equalish(e_2,e_3) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f10,axiom,(
% 0.16/15.42 ~ equalish(e_2,e_4) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f11,axiom,(
% 0.16/15.42 ~ equalish(e_3,e_1) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f12,axiom,(
% 0.16/15.42 ~ equalish(e_3,e_2) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f13,axiom,(
% 0.16/15.42 ~ equalish(e_3,e_4) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f14,axiom,(
% 0.16/15.42 ~ equalish(e_4,e_1) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f15,axiom,(
% 0.16/15.42 ~ equalish(e_4,e_2) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f16,axiom,(
% 0.16/15.42 ~ equalish(e_4,e_3) ),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f17,axiom,(
% 0.16/15.42 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3)| product(X,Y,e_4) ) ))),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f18,axiom,(
% 0.16/15.42 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f19,axiom,(
% 0.16/15.42 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f20,axiom,(
% 0.16/15.42 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f21,axiom,(
% 0.16/15.42 (![X]: (product(X,X,X) ))),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f22,negated_conjecture,(
% 0.16/15.42 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(Y,X,Z2)| product(Z1,Z2,Y) ) ))),
% 0.16/15.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/15.42 fof(f23,plain,(
% 0.16/15.42 group_element(e_1)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/15.42 fof(f24,plain,(
% 0.16/15.42 group_element(e_2)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/15.42 fof(f25,plain,(
% 0.16/15.42 group_element(e_3)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/15.42 fof(f26,plain,(
% 0.16/15.42 group_element(e_4)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/15.42 fof(f27,plain,(
% 0.16/15.42 ~equalish(e_1,e_2)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/15.42 fof(f28,plain,(
% 0.16/15.42 ~equalish(e_1,e_3)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/15.42 fof(f29,plain,(
% 0.16/15.42 ~equalish(e_1,e_4)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/15.42 fof(f30,plain,(
% 0.16/15.42 ~equalish(e_2,e_1)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/15.42 fof(f31,plain,(
% 0.16/15.42 ~equalish(e_2,e_3)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/15.42 fof(f32,plain,(
% 0.16/15.42 ~equalish(e_2,e_4)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.16/15.42 fof(f33,plain,(
% 0.16/15.42 ~equalish(e_3,e_1)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.16/15.42 fof(f34,plain,(
% 0.16/15.42 ~equalish(e_3,e_2)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/15.42 fof(f35,plain,(
% 0.16/15.42 ~equalish(e_3,e_4)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/15.42 fof(f36,plain,(
% 0.16/15.42 ~equalish(e_4,e_1)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/15.42 fof(f37,plain,(
% 0.16/15.42 ~equalish(e_4,e_2)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/15.42 fof(f38,plain,(
% 0.16/15.42 ~equalish(e_4,e_3)),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/15.42 fof(f39,plain,(
% 0.16/15.42 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3)|product(X0,X1,e_4))),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/15.42 fof(f40,plain,(
% 0.16/15.42 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.16/15.42 inference(miniscoping,[status(thm)],[f18])).
% 0.16/15.42 fof(f41,plain,(
% 0.16/15.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.16/15.42 fof(f42,plain,(
% 0.16/15.42 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.16/15.42 inference(miniscoping,[status(thm)],[f19])).
% 0.16/15.42 fof(f43,plain,(
% 0.16/15.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.16/15.42 fof(f44,plain,(
% 0.16/15.42 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.16/15.42 inference(miniscoping,[status(thm)],[f20])).
% 0.16/15.42 fof(f45,plain,(
% 0.16/15.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/15.42 fof(f46,plain,(
% 0.16/15.42 ![X0]: (product(X0,X0,X0))),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.16/15.42 fof(f47,plain,(
% 0.16/15.42 ![Y,Z1,Z2]: ((![X]: (~product(X,Y,Z1)|~product(Y,X,Z2)))|product(Z1,Z2,Y))),
% 0.16/15.42 inference(miniscoping,[status(thm)],[f22])).
% 0.16/15.42 fof(f48,plain,(
% 0.16/15.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X0,X3)|product(X2,X3,X1))),
% 0.16/15.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.16/15.42 fof(f49,plain,(
% 0.16/15.42 ![X0,X1]: (~product(X0,X1,X0)|equalish(X0,X1))),
% 0.16/15.42 inference(resolution,[status(thm)],[f46,f43])).
% 0.16/15.42 fof(f50,plain,(
% 0.16/15.42 ![X0,X1]: (~product(X0,X0,X1)|equalish(X0,X1))),
% 0.16/15.42 inference(resolution,[status(thm)],[f46,f41])).
% 0.16/15.42 fof(f53,plain,(
% 0.16/15.42 ![X0,X1]: (~product(X0,X1,X1)|equalish(X1,X0))),
% 0.16/15.42 inference(resolution,[status(thm)],[f45,f46])).
% 0.16/15.42 fof(f57,plain,(
% 0.16/15.42 ![X0]: (~group_element(X0)|product(e_4,X0,e_1)|product(e_4,X0,e_2)|product(e_4,X0,e_3)|product(e_4,X0,e_4))),
% 0.16/15.42 inference(resolution,[status(thm)],[f39,f26])).
% 0.16/15.42 fof(f58,plain,(
% 0.16/15.42 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3)|product(e_3,X0,e_4))),
% 0.16/15.42 inference(resolution,[status(thm)],[f39,f25])).
% 0.16/15.42 fof(f59,plain,(
% 0.16/15.42 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3)|product(e_2,X0,e_4))),
% 0.16/15.42 inference(resolution,[status(thm)],[f39,f24])).
% 0.16/15.42 fof(f60,plain,(
% 0.16/15.42 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3)|product(e_1,X0,e_4))),
% 0.16/15.42 inference(resolution,[status(thm)],[f39,f23])).
% 0.16/15.42 fof(f62,plain,(
% 0.16/15.42 product(e_4,e_3,e_1)|product(e_4,e_3,e_2)|product(e_4,e_3,e_3)|product(e_4,e_3,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f57,f25])).
% 0.16/15.42 fof(f63,plain,(
% 0.16/15.42 product(e_4,e_2,e_1)|product(e_4,e_2,e_2)|product(e_4,e_2,e_3)|product(e_4,e_2,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f57,f24])).
% 0.16/15.42 fof(f64,plain,(
% 0.16/15.42 product(e_4,e_1,e_1)|product(e_4,e_1,e_2)|product(e_4,e_1,e_3)|product(e_4,e_1,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f57,f23])).
% 0.16/15.42 fof(f78,definition,(
% 0.16/15.42 sQ4_spl <=> (product(e_4,e_3,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f79,plain,(
% 0.16/15.42 product(e_4,e_3,e_1)|~sQ4_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f78])).
% 0.16/15.42 fof(f81,definition,(
% 0.16/15.42 sQ5_spl <=> (product(e_4,e_3,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f82,plain,(
% 0.16/15.42 product(e_4,e_3,e_2)|~sQ5_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f81])).
% 0.16/15.42 fof(f84,definition,(
% 0.16/15.42 sQ6_spl <=> (product(e_4,e_3,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f85,plain,(
% 0.16/15.42 product(e_4,e_3,e_3)|~sQ6_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f84])).
% 0.16/15.42 fof(f87,definition,(
% 0.16/15.42 sQ7_spl <=> (product(e_4,e_3,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f88,plain,(
% 0.16/15.42 product(e_4,e_3,e_4)|~sQ7_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f87])).
% 0.16/15.42 fof(f90,plain,(
% 0.16/15.42 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f62,f78,f81,f84,f87])).
% 0.16/15.42 fof(f91,definition,(
% 0.16/15.42 sQ8_spl <=> (product(e_4,e_2,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f92,plain,(
% 0.16/15.42 product(e_4,e_2,e_1)|~sQ8_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f91])).
% 0.16/15.42 fof(f94,definition,(
% 0.16/15.42 sQ9_spl <=> (product(e_4,e_2,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f95,plain,(
% 0.16/15.42 product(e_4,e_2,e_2)|~sQ9_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f94])).
% 0.16/15.42 fof(f97,definition,(
% 0.16/15.42 sQ10_spl <=> (product(e_4,e_2,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f98,plain,(
% 0.16/15.42 product(e_4,e_2,e_3)|~sQ10_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f97])).
% 0.16/15.42 fof(f100,definition,(
% 0.16/15.42 sQ11_spl <=> (product(e_4,e_2,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f101,plain,(
% 0.16/15.42 product(e_4,e_2,e_4)|~sQ11_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f100])).
% 0.16/15.42 fof(f103,plain,(
% 0.16/15.42 sQ8_spl|sQ9_spl|sQ10_spl|sQ11_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f63,f91,f94,f97,f100])).
% 0.16/15.42 fof(f104,definition,(
% 0.16/15.42 sQ12_spl <=> (product(e_4,e_1,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f105,plain,(
% 0.16/15.42 product(e_4,e_1,e_1)|~sQ12_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f104])).
% 0.16/15.42 fof(f107,definition,(
% 0.16/15.42 sQ13_spl <=> (product(e_4,e_1,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f108,plain,(
% 0.16/15.42 product(e_4,e_1,e_2)|~sQ13_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f107])).
% 0.16/15.42 fof(f110,definition,(
% 0.16/15.42 sQ14_spl <=> (product(e_4,e_1,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f111,plain,(
% 0.16/15.42 product(e_4,e_1,e_3)|~sQ14_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f110])).
% 0.16/15.42 fof(f113,definition,(
% 0.16/15.42 sQ15_spl <=> (product(e_4,e_1,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f114,plain,(
% 0.16/15.42 product(e_4,e_1,e_4)|~sQ15_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f113])).
% 0.16/15.42 fof(f116,plain,(
% 0.16/15.42 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f64,f104,f107,f110,f113])).
% 0.16/15.42 fof(f117,plain,(
% 0.16/15.42 product(e_3,e_4,e_1)|product(e_3,e_4,e_2)|product(e_3,e_4,e_3)|product(e_3,e_4,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f58,f26])).
% 0.16/15.42 fof(f119,plain,(
% 0.16/15.42 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)|product(e_3,e_2,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f58,f24])).
% 0.16/15.42 fof(f120,plain,(
% 0.16/15.42 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)|product(e_3,e_1,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f58,f23])).
% 0.16/15.42 fof(f121,definition,(
% 0.16/15.42 sQ16_spl <=> (product(e_3,e_4,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f122,plain,(
% 0.16/15.42 product(e_3,e_4,e_1)|~sQ16_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f121])).
% 0.16/15.42 fof(f124,definition,(
% 0.16/15.42 sQ17_spl <=> (product(e_3,e_4,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f125,plain,(
% 0.16/15.42 product(e_3,e_4,e_2)|~sQ17_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f124])).
% 0.16/15.42 fof(f127,definition,(
% 0.16/15.42 sQ18_spl <=> (product(e_3,e_4,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f128,plain,(
% 0.16/15.42 product(e_3,e_4,e_3)|~sQ18_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f127])).
% 0.16/15.42 fof(f130,definition,(
% 0.16/15.42 sQ19_spl <=> (product(e_3,e_4,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f131,plain,(
% 0.16/15.42 product(e_3,e_4,e_4)|~sQ19_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f130])).
% 0.16/15.42 fof(f133,plain,(
% 0.16/15.42 sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f117,f121,f124,f127,f130])).
% 0.16/15.42 fof(f137,definition,(
% 0.16/15.42 sQ21_spl <=> (product(e_3,e_3,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f138,plain,(
% 0.16/15.42 product(e_3,e_3,e_2)|~sQ21_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f137])).
% 0.16/15.42 fof(f147,definition,(
% 0.16/15.42 sQ24_spl <=> (product(e_3,e_2,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f148,plain,(
% 0.16/15.42 product(e_3,e_2,e_1)|~sQ24_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f147])).
% 0.16/15.42 fof(f150,definition,(
% 0.16/15.42 sQ25_spl <=> (product(e_3,e_2,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f151,plain,(
% 0.16/15.42 product(e_3,e_2,e_2)|~sQ25_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f150])).
% 0.16/15.42 fof(f153,definition,(
% 0.16/15.42 sQ26_spl <=> (product(e_3,e_2,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f154,plain,(
% 0.16/15.42 product(e_3,e_2,e_3)|~sQ26_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f153])).
% 0.16/15.42 fof(f156,definition,(
% 0.16/15.42 sQ27_spl <=> (product(e_3,e_2,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f157,plain,(
% 0.16/15.42 product(e_3,e_2,e_4)|~sQ27_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f156])).
% 0.16/15.42 fof(f159,plain,(
% 0.16/15.42 sQ24_spl|sQ25_spl|sQ26_spl|sQ27_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f119,f147,f150,f153,f156])).
% 0.16/15.42 fof(f160,definition,(
% 0.16/15.42 sQ28_spl <=> (product(e_3,e_1,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f161,plain,(
% 0.16/15.42 product(e_3,e_1,e_1)|~sQ28_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f160])).
% 0.16/15.42 fof(f163,definition,(
% 0.16/15.42 sQ29_spl <=> (product(e_3,e_1,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f164,plain,(
% 0.16/15.42 product(e_3,e_1,e_2)|~sQ29_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f163])).
% 0.16/15.42 fof(f166,definition,(
% 0.16/15.42 sQ30_spl <=> (product(e_3,e_1,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f167,plain,(
% 0.16/15.42 product(e_3,e_1,e_3)|~sQ30_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f166])).
% 0.16/15.42 fof(f169,definition,(
% 0.16/15.42 sQ31_spl <=> (product(e_3,e_1,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f170,plain,(
% 0.16/15.42 product(e_3,e_1,e_4)|~sQ31_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f169])).
% 0.16/15.42 fof(f172,plain,(
% 0.16/15.42 sQ28_spl|sQ29_spl|sQ30_spl|sQ31_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f120,f160,f163,f166,f169])).
% 0.16/15.42 fof(f173,plain,(
% 0.16/15.42 product(e_2,e_4,e_1)|product(e_2,e_4,e_2)|product(e_2,e_4,e_3)|product(e_2,e_4,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f59,f26])).
% 0.16/15.42 fof(f174,plain,(
% 0.16/15.42 product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)|product(e_2,e_3,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f59,f25])).
% 0.16/15.42 fof(f176,plain,(
% 0.16/15.42 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f59,f23])).
% 0.16/15.42 fof(f177,definition,(
% 0.16/15.42 sQ32_spl <=> (product(e_2,e_4,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f178,plain,(
% 0.16/15.42 product(e_2,e_4,e_1)|~sQ32_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f177])).
% 0.16/15.42 fof(f180,definition,(
% 0.16/15.42 sQ33_spl <=> (product(e_2,e_4,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f181,plain,(
% 0.16/15.42 product(e_2,e_4,e_2)|~sQ33_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f180])).
% 0.16/15.42 fof(f183,definition,(
% 0.16/15.42 sQ34_spl <=> (product(e_2,e_4,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f184,plain,(
% 0.16/15.42 product(e_2,e_4,e_3)|~sQ34_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f183])).
% 0.16/15.42 fof(f186,definition,(
% 0.16/15.42 sQ35_spl <=> (product(e_2,e_4,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f187,plain,(
% 0.16/15.42 product(e_2,e_4,e_4)|~sQ35_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f186])).
% 0.16/15.42 fof(f189,plain,(
% 0.16/15.42 sQ32_spl|sQ33_spl|sQ34_spl|sQ35_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f173,f177,f180,f183,f186])).
% 0.16/15.42 fof(f190,definition,(
% 0.16/15.42 sQ36_spl <=> (product(e_2,e_3,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f191,plain,(
% 0.16/15.42 product(e_2,e_3,e_1)|~sQ36_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f190])).
% 0.16/15.42 fof(f193,definition,(
% 0.16/15.42 sQ37_spl <=> (product(e_2,e_3,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f194,plain,(
% 0.16/15.42 product(e_2,e_3,e_2)|~sQ37_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f193])).
% 0.16/15.42 fof(f196,definition,(
% 0.16/15.42 sQ38_spl <=> (product(e_2,e_3,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f197,plain,(
% 0.16/15.42 product(e_2,e_3,e_3)|~sQ38_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f196])).
% 0.16/15.42 fof(f199,definition,(
% 0.16/15.42 sQ39_spl <=> (product(e_2,e_3,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f200,plain,(
% 0.16/15.42 product(e_2,e_3,e_4)|~sQ39_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f199])).
% 0.16/15.42 fof(f202,plain,(
% 0.16/15.42 sQ36_spl|sQ37_spl|sQ38_spl|sQ39_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f174,f190,f193,f196,f199])).
% 0.16/15.42 fof(f212,definition,(
% 0.16/15.42 sQ43_spl <=> (product(e_2,e_2,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f213,plain,(
% 0.16/15.42 product(e_2,e_2,e_4)|~sQ43_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f212])).
% 0.16/15.42 fof(f216,definition,(
% 0.16/15.42 sQ44_spl <=> (product(e_2,e_1,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f217,plain,(
% 0.16/15.42 product(e_2,e_1,e_1)|~sQ44_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f216])).
% 0.16/15.42 fof(f219,definition,(
% 0.16/15.42 sQ45_spl <=> (product(e_2,e_1,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f220,plain,(
% 0.16/15.42 product(e_2,e_1,e_2)|~sQ45_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f219])).
% 0.16/15.42 fof(f222,definition,(
% 0.16/15.42 sQ46_spl <=> (product(e_2,e_1,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f223,plain,(
% 0.16/15.42 product(e_2,e_1,e_3)|~sQ46_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f222])).
% 0.16/15.42 fof(f225,definition,(
% 0.16/15.42 sQ47_spl <=> (product(e_2,e_1,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f226,plain,(
% 0.16/15.42 product(e_2,e_1,e_4)|~sQ47_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f225])).
% 0.16/15.42 fof(f228,plain,(
% 0.16/15.42 sQ44_spl|sQ45_spl|sQ46_spl|sQ47_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f176,f216,f219,f222,f225])).
% 0.16/15.42 fof(f231,plain,(
% 0.16/15.42 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f60,f24])).
% 0.16/15.42 fof(f232,plain,(
% 0.16/15.42 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)|product(e_1,e_1,e_4)),
% 0.16/15.42 inference(resolution,[status(thm)],[f60,f23])).
% 0.16/15.42 fof(f259,definition,(
% 0.16/15.42 sQ56_spl <=> (product(e_1,e_2,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f260,plain,(
% 0.16/15.42 product(e_1,e_2,e_1)|~sQ56_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f259])).
% 0.16/15.42 fof(f262,definition,(
% 0.16/15.42 sQ57_spl <=> (product(e_1,e_2,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f263,plain,(
% 0.16/15.42 product(e_1,e_2,e_2)|~sQ57_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f262])).
% 0.16/15.42 fof(f265,definition,(
% 0.16/15.42 sQ58_spl <=> (product(e_1,e_2,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f266,plain,(
% 0.16/15.42 product(e_1,e_2,e_3)|~sQ58_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f265])).
% 0.16/15.42 fof(f268,definition,(
% 0.16/15.42 sQ59_spl <=> (product(e_1,e_2,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f269,plain,(
% 0.16/15.42 product(e_1,e_2,e_4)|~sQ59_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f268])).
% 0.16/15.42 fof(f271,plain,(
% 0.16/15.42 sQ56_spl|sQ57_spl|sQ58_spl|sQ59_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f231,f259,f262,f265,f268])).
% 0.16/15.42 fof(f272,definition,(
% 0.16/15.42 sQ60_spl <=> (product(e_1,e_1,e_1))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f275,definition,(
% 0.16/15.42 sQ61_spl <=> (product(e_1,e_1,e_2))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f276,plain,(
% 0.16/15.42 product(e_1,e_1,e_2)|~sQ61_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f275])).
% 0.16/15.42 fof(f278,definition,(
% 0.16/15.42 sQ62_spl <=> (product(e_1,e_1,e_3))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f279,plain,(
% 0.16/15.42 product(e_1,e_1,e_3)|~sQ62_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f278])).
% 0.16/15.42 fof(f281,definition,(
% 0.16/15.42 sQ63_spl <=> (product(e_1,e_1,e_4))),
% 0.16/15.42 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.16/15.42 fof(f282,plain,(
% 0.16/15.42 product(e_1,e_1,e_4)|~sQ63_spl),
% 0.16/15.42 inference(component_clause,[status(thm)],[f281])).
% 0.16/15.42 fof(f284,plain,(
% 0.16/15.42 sQ60_spl|sQ61_spl|sQ62_spl|sQ63_spl),
% 0.16/15.42 inference(split_clause,[status(thm)],[f232,f272,f275,f278,f281])).
% 0.16/15.42 fof(f286,plain,(
% 0.16/15.42 equalish(e_4,e_1)|~sQ15_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f114,f49])).
% 0.16/15.42 fof(f290,plain,(
% 0.16/15.42 $false|~sQ15_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f286,f36])).
% 0.16/15.42 fof(f291,plain,(
% 0.16/15.42 ~sQ15_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f290])).
% 0.16/15.42 fof(f292,plain,(
% 0.16/15.42 ![X0]: (~product(X0,e_1,e_3)|equalish(e_4,X0)|~sQ14_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f111,f45])).
% 0.16/15.42 fof(f301,plain,(
% 0.16/15.42 ![X0]: (~product(e_4,X0,e_2)|equalish(e_1,X0)|~sQ13_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f108,f43])).
% 0.16/15.42 fof(f306,plain,(
% 0.16/15.42 equalish(e_1,e_4)|~sQ12_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f105,f53])).
% 0.16/15.42 fof(f311,plain,(
% 0.16/15.42 $false|~sQ12_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f306,f29])).
% 0.16/15.42 fof(f312,plain,(
% 0.16/15.42 ~sQ12_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f311])).
% 0.16/15.42 fof(f314,plain,(
% 0.16/15.42 equalish(e_4,e_2)|~sQ11_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f101,f49])).
% 0.16/15.42 fof(f318,plain,(
% 0.16/15.42 $false|~sQ11_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f314,f37])).
% 0.16/15.42 fof(f319,plain,(
% 0.16/15.42 ~sQ11_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f318])).
% 0.16/15.42 fof(f320,plain,(
% 0.16/15.42 ![X0]: (~product(X0,e_2,e_3)|equalish(e_4,X0)|~sQ10_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f98,f45])).
% 0.16/15.42 fof(f329,plain,(
% 0.16/15.42 equalish(e_2,e_4)|~sQ9_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f95,f53])).
% 0.16/15.42 fof(f337,plain,(
% 0.16/15.42 ![X0]: (~product(e_4,X0,e_1)|equalish(e_2,X0)|~sQ8_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f92,f43])).
% 0.16/15.42 fof(f344,plain,(
% 0.16/15.42 equalish(e_4,e_3)|~sQ7_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f88,f49])).
% 0.16/15.42 fof(f348,plain,(
% 0.16/15.42 $false|~sQ7_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f344,f38])).
% 0.16/15.42 fof(f349,plain,(
% 0.16/15.42 ~sQ7_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f348])).
% 0.16/15.42 fof(f350,plain,(
% 0.16/15.42 equalish(e_3,e_4)|~sQ6_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f85,f53])).
% 0.16/15.42 fof(f355,plain,(
% 0.16/15.42 $false|~sQ6_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f350,f35])).
% 0.16/15.42 fof(f356,plain,(
% 0.16/15.42 ~sQ6_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f355])).
% 0.16/15.42 fof(f357,plain,(
% 0.16/15.42 equalish(e_1,e_3)|~sQ5_spl|~sQ13_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f82,f301])).
% 0.16/15.42 fof(f358,plain,(
% 0.16/15.42 ![X0]: (~product(X0,e_3,e_2)|equalish(e_4,X0)|~sQ5_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f82,f45])).
% 0.16/15.42 fof(f362,plain,(
% 0.16/15.42 $false|~sQ5_spl|~sQ13_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f357,f28])).
% 0.16/15.42 fof(f363,plain,(
% 0.16/15.42 ~sQ5_spl|~sQ13_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f362])).
% 0.16/15.42 fof(f364,plain,(
% 0.16/15.42 equalish(e_2,e_3)|~sQ4_spl|~sQ8_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f79,f337])).
% 0.16/15.42 fof(f368,plain,(
% 0.16/15.42 ![X0]: (~product(e_3,e_4,X0)|product(e_1,X0,e_3)|~sQ4_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f79,f48])).
% 0.16/15.42 fof(f369,plain,(
% 0.16/15.42 $false|~sQ4_spl|~sQ8_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f364,f31])).
% 0.16/15.42 fof(f370,plain,(
% 0.16/15.42 ~sQ4_spl|~sQ8_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f369])).
% 0.16/15.42 fof(f376,plain,(
% 0.16/15.42 ![X0]: (~product(X0,e_1,e_4)|equalish(e_3,X0)|~sQ31_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f170,f45])).
% 0.16/15.42 fof(f377,plain,(
% 0.16/15.42 ![X0]: (~product(e_3,X0,e_4)|equalish(e_1,X0)|~sQ31_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f170,f43])).
% 0.16/15.42 fof(f385,plain,(
% 0.16/15.42 equalish(e_3,e_1)|~sQ30_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f167,f49])).
% 0.16/15.42 fof(f392,plain,(
% 0.16/15.42 ![X0]: (~product(X0,e_1,e_2)|equalish(e_3,X0)|~sQ29_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f164,f45])).
% 0.16/15.42 fof(f398,plain,(
% 0.16/15.42 equalish(e_1,e_3)|~sQ28_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f161,f53])).
% 0.16/15.42 fof(f403,plain,(
% 0.16/15.42 $false|~sQ28_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f398,f28])).
% 0.16/15.42 fof(f404,plain,(
% 0.16/15.42 ~sQ28_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f403])).
% 0.16/15.42 fof(f405,plain,(
% 0.16/15.42 $false|~sQ30_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f385,f33])).
% 0.16/15.42 fof(f406,plain,(
% 0.16/15.42 ~sQ30_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f405])).
% 0.16/15.42 fof(f407,plain,(
% 0.16/15.42 equalish(e_1,e_2)|~sQ27_spl|~sQ31_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f157,f377])).
% 0.16/15.42 fof(f408,plain,(
% 0.16/15.42 ![X0]: (~product(X0,e_2,e_4)|equalish(e_3,X0)|~sQ27_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f157,f45])).
% 0.16/15.42 fof(f412,plain,(
% 0.16/15.42 $false|~sQ27_spl|~sQ31_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f407,f27])).
% 0.16/15.42 fof(f413,plain,(
% 0.16/15.42 ~sQ27_spl|~sQ31_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f412])).
% 0.16/15.42 fof(f416,plain,(
% 0.16/15.42 equalish(e_3,e_2)|~sQ26_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f154,f49])).
% 0.16/15.42 fof(f422,plain,(
% 0.16/15.42 equalish(e_2,e_3)|~sQ25_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f151,f53])).
% 0.16/15.42 fof(f427,plain,(
% 0.16/15.42 $false|~sQ25_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f422,f31])).
% 0.16/15.42 fof(f428,plain,(
% 0.16/15.42 ~sQ25_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f427])).
% 0.16/15.42 fof(f430,plain,(
% 0.16/15.42 ![X0]: (~product(e_3,X0,e_1)|equalish(e_2,X0)|~sQ24_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f148,f43])).
% 0.16/15.42 fof(f432,plain,(
% 0.16/15.42 ![X0]: (~product(e_2,e_3,X0)|product(e_1,X0,e_2)|~sQ24_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f148,f48])).
% 0.16/15.42 fof(f446,plain,(
% 0.16/15.42 equalish(e_3,e_2)|~sQ21_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f138,f50])).
% 0.16/15.42 fof(f452,plain,(
% 0.16/15.42 $false|~sQ21_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f446,f34])).
% 0.16/15.42 fof(f453,plain,(
% 0.16/15.42 ~sQ21_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f452])).
% 0.16/15.42 fof(f466,plain,(
% 0.16/15.42 equalish(e_4,e_3)|~sQ19_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f131,f53])).
% 0.16/15.42 fof(f475,plain,(
% 0.16/15.42 equalish(e_3,e_4)|~sQ18_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f128,f49])).
% 0.16/15.42 fof(f479,plain,(
% 0.16/15.42 $false|~sQ18_spl),
% 0.16/15.42 inference(forward_subsumption_resolution,[status(thm)],[f475,f35])).
% 0.16/15.42 fof(f480,plain,(
% 0.16/15.42 ~sQ18_spl),
% 0.16/15.42 inference(contradiction_clause,[status(thm)],[f479])).
% 0.16/15.42 fof(f481,plain,(
% 0.16/15.42 product(e_1,e_2,e_3)|~sQ17_spl|~sQ4_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f125,f368])).
% 0.16/15.42 fof(f482,plain,(
% 0.16/15.42 ![X0]: (~product(X0,e_4,e_2)|equalish(e_3,X0)|~sQ17_spl)),
% 0.16/15.42 inference(resolution,[status(thm)],[f125,f45])).
% 0.16/15.42 fof(f491,plain,(
% 0.16/15.42 product(e_1,e_1,e_3)|~sQ16_spl|~sQ4_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f122,f368])).
% 0.16/15.42 fof(f492,plain,(
% 0.16/15.42 equalish(e_2,e_4)|~sQ16_spl|~sQ24_spl),
% 0.16/15.42 inference(resolution,[status(thm)],[f122,f430])).
% 0.16/15.43 fof(f499,plain,(
% 0.16/15.43 $false|~sQ16_spl|~sQ24_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f492,f32])).
% 0.16/15.43 fof(f500,plain,(
% 0.16/15.43 ~sQ16_spl|~sQ24_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f499])).
% 0.16/15.43 fof(f501,plain,(
% 0.16/15.43 equalish(e_3,e_2)|~sQ47_spl|~sQ31_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f226,f376])).
% 0.16/15.43 fof(f505,plain,(
% 0.16/15.43 ![X0]: (~product(e_1,e_2,X0)|product(e_4,X0,e_1)|~sQ47_spl)),
% 0.16/15.43 inference(resolution,[status(thm)],[f226,f48])).
% 0.16/15.43 fof(f506,plain,(
% 0.16/15.43 $false|~sQ47_spl|~sQ31_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f501,f34])).
% 0.16/15.43 fof(f507,plain,(
% 0.16/15.43 ~sQ47_spl|~sQ31_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f506])).
% 0.16/15.43 fof(f509,plain,(
% 0.16/15.43 ![X0]: (~product(e_2,X0,e_3)|equalish(e_1,X0)|~sQ46_spl)),
% 0.16/15.43 inference(resolution,[status(thm)],[f223,f43])).
% 0.16/15.43 fof(f511,plain,(
% 0.16/15.43 ![X0]: (~product(e_1,e_2,X0)|product(e_3,X0,e_1)|~sQ46_spl)),
% 0.16/15.43 inference(resolution,[status(thm)],[f223,f48])).
% 0.16/15.43 fof(f514,plain,(
% 0.16/15.43 equalish(e_2,e_1)|~sQ45_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f220,f49])).
% 0.16/15.43 fof(f520,plain,(
% 0.16/15.43 equalish(e_1,e_2)|~sQ44_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f217,f53])).
% 0.16/15.43 fof(f525,plain,(
% 0.16/15.43 $false|~sQ44_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f520,f27])).
% 0.16/15.43 fof(f526,plain,(
% 0.16/15.43 ~sQ44_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f525])).
% 0.16/15.43 fof(f528,plain,(
% 0.16/15.43 equalish(e_2,e_4)|~sQ43_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f213,f50])).
% 0.16/15.43 fof(f533,plain,(
% 0.16/15.43 $false|~sQ43_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f528,f32])).
% 0.16/15.43 fof(f534,plain,(
% 0.16/15.43 ~sQ43_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f533])).
% 0.16/15.43 fof(f553,plain,(
% 0.16/15.43 product(e_1,e_4,e_2)|~sQ39_spl|~sQ24_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f200,f432])).
% 0.16/15.43 fof(f558,plain,(
% 0.16/15.43 equalish(e_4,e_1)|~sQ17_spl|~sQ4_spl|~sQ10_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f481,f320])).
% 0.16/15.43 fof(f563,plain,(
% 0.16/15.43 $false|~sQ17_spl|~sQ4_spl|~sQ10_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f558,f36])).
% 0.16/15.43 fof(f564,plain,(
% 0.16/15.43 ~sQ17_spl|~sQ4_spl|~sQ10_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f563])).
% 0.16/15.43 fof(f566,plain,(
% 0.16/15.43 equalish(e_1,e_3)|~sQ16_spl|~sQ4_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f491,f50])).
% 0.16/15.43 fof(f571,plain,(
% 0.16/15.43 $false|~sQ16_spl|~sQ4_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f566,f28])).
% 0.16/15.43 fof(f572,plain,(
% 0.16/15.43 ~sQ16_spl|~sQ4_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f571])).
% 0.16/15.43 fof(f573,plain,(
% 0.16/15.43 $false|~sQ9_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f329,f32])).
% 0.16/15.43 fof(f574,plain,(
% 0.16/15.43 ~sQ9_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f573])).
% 0.16/15.43 fof(f575,plain,(
% 0.16/15.43 $false|~sQ19_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f466,f38])).
% 0.16/15.43 fof(f576,plain,(
% 0.16/15.43 ~sQ19_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f575])).
% 0.16/15.43 fof(f602,plain,(
% 0.16/15.43 $false|~sQ45_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f514,f30])).
% 0.16/15.43 fof(f603,plain,(
% 0.16/15.43 ~sQ45_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f602])).
% 0.16/15.43 fof(f606,plain,(
% 0.16/15.43 equalish(e_3,e_2)|~sQ38_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f197,f53])).
% 0.16/15.43 fof(f614,plain,(
% 0.16/15.43 equalish(e_4,e_2)|~sQ37_spl|~sQ5_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f194,f358])).
% 0.16/15.43 fof(f620,plain,(
% 0.16/15.43 $false|~sQ37_spl|~sQ5_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f614,f37])).
% 0.16/15.43 fof(f621,plain,(
% 0.16/15.43 ~sQ37_spl|~sQ5_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f620])).
% 0.16/15.43 fof(f622,plain,(
% 0.16/15.43 product(e_1,e_1,e_2)|~sQ36_spl|~sQ24_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f191,f432])).
% 0.16/15.43 fof(f624,plain,(
% 0.16/15.43 ![X0]: (~product(e_2,X0,e_1)|equalish(e_3,X0)|~sQ36_spl)),
% 0.16/15.43 inference(resolution,[status(thm)],[f191,f43])).
% 0.16/15.43 fof(f627,plain,(
% 0.16/15.43 equalish(e_3,e_1)|~sQ36_spl|~sQ24_spl|~sQ29_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f622,f392])).
% 0.16/15.43 fof(f634,plain,(
% 0.16/15.43 $false|~sQ36_spl|~sQ24_spl|~sQ29_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f627,f33])).
% 0.16/15.43 fof(f635,plain,(
% 0.16/15.43 ~sQ36_spl|~sQ24_spl|~sQ29_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f634])).
% 0.16/15.43 fof(f636,plain,(
% 0.16/15.43 $false|~sQ38_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f606,f34])).
% 0.16/15.43 fof(f637,plain,(
% 0.16/15.43 ~sQ38_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f636])).
% 0.16/15.43 fof(f638,plain,(
% 0.16/15.43 $false|~sQ26_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f416,f34])).
% 0.16/15.43 fof(f639,plain,(
% 0.16/15.43 ~sQ26_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f638])).
% 0.16/15.43 fof(f641,plain,(
% 0.16/15.43 equalish(e_4,e_2)|~sQ35_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f187,f53])).
% 0.16/15.43 fof(f647,plain,(
% 0.16/15.43 $false|~sQ35_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f641,f37])).
% 0.16/15.43 fof(f648,plain,(
% 0.16/15.43 ~sQ35_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f647])).
% 0.16/15.43 fof(f650,plain,(
% 0.16/15.43 equalish(e_1,e_4)|~sQ34_spl|~sQ46_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f184,f509])).
% 0.16/15.43 fof(f656,plain,(
% 0.16/15.43 $false|~sQ34_spl|~sQ46_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f650,f29])).
% 0.16/15.43 fof(f657,plain,(
% 0.16/15.43 ~sQ34_spl|~sQ46_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f656])).
% 0.16/15.43 fof(f660,plain,(
% 0.16/15.43 equalish(e_2,e_4)|~sQ33_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f181,f49])).
% 0.16/15.43 fof(f665,plain,(
% 0.16/15.43 $false|~sQ33_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f660,f32])).
% 0.16/15.43 fof(f666,plain,(
% 0.16/15.43 ~sQ33_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f665])).
% 0.16/15.43 fof(f668,plain,(
% 0.16/15.43 equalish(e_3,e_4)|~sQ32_spl|~sQ36_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f178,f624])).
% 0.16/15.43 fof(f674,plain,(
% 0.16/15.43 $false|~sQ32_spl|~sQ36_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f668,f35])).
% 0.16/15.43 fof(f675,plain,(
% 0.16/15.43 ~sQ32_spl|~sQ36_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f674])).
% 0.16/15.43 fof(f677,plain,(
% 0.16/15.43 equalish(e_1,e_4)|~sQ63_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f282,f50])).
% 0.16/15.43 fof(f682,plain,(
% 0.16/15.43 $false|~sQ63_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f677,f29])).
% 0.16/15.43 fof(f683,plain,(
% 0.16/15.43 ~sQ63_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f682])).
% 0.16/15.43 fof(f684,plain,(
% 0.16/15.43 equalish(e_4,e_1)|~sQ62_spl|~sQ14_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f279,f292])).
% 0.16/15.43 fof(f691,plain,(
% 0.16/15.43 $false|~sQ62_spl|~sQ14_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f684,f36])).
% 0.16/15.43 fof(f692,plain,(
% 0.16/15.43 ~sQ62_spl|~sQ14_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f691])).
% 0.16/15.43 fof(f693,plain,(
% 0.16/15.43 equalish(e_3,e_1)|~sQ61_spl|~sQ29_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f276,f392])).
% 0.16/15.43 fof(f700,plain,(
% 0.16/15.43 $false|~sQ61_spl|~sQ29_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f693,f33])).
% 0.16/15.43 fof(f701,plain,(
% 0.16/15.43 ~sQ61_spl|~sQ29_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f700])).
% 0.16/15.43 fof(f702,plain,(
% 0.16/15.43 equalish(e_3,e_1)|~sQ59_spl|~sQ27_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f269,f408])).
% 0.16/15.43 fof(f707,plain,(
% 0.16/15.43 $false|~sQ59_spl|~sQ27_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f702,f33])).
% 0.16/15.43 fof(f708,plain,(
% 0.16/15.43 ~sQ59_spl|~sQ27_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f707])).
% 0.16/15.43 fof(f713,plain,(
% 0.16/15.43 equalish(e_2,e_1)|~sQ57_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f263,f53])).
% 0.16/15.43 fof(f718,plain,(
% 0.16/15.43 $false|~sQ57_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f713,f30])).
% 0.16/15.43 fof(f719,plain,(
% 0.16/15.43 ~sQ57_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f718])).
% 0.16/15.43 fof(f721,plain,(
% 0.16/15.43 equalish(e_1,e_2)|~sQ56_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f260,f49])).
% 0.16/15.43 fof(f725,plain,(
% 0.16/15.43 $false|~sQ56_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f721,f27])).
% 0.16/15.43 fof(f726,plain,(
% 0.16/15.43 ~sQ56_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f725])).
% 0.16/15.43 fof(f727,plain,(
% 0.16/15.43 product(e_4,e_3,e_1)|~sQ47_spl|~sQ58_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f505,f266])).
% 0.16/15.43 fof(f728,plain,(
% 0.16/15.43 sQ4_spl|~sQ47_spl|~sQ58_spl),
% 0.16/15.43 inference(split_clause,[status(thm)],[f727,f78,f225,f265])).
% 0.16/15.43 fof(f738,plain,(
% 0.16/15.43 product(e_3,e_3,e_1)|~sQ46_spl|~sQ58_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f511,f266])).
% 0.16/15.43 fof(f740,plain,(
% 0.16/15.43 equalish(e_3,e_1)|~sQ46_spl|~sQ58_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f738,f50])).
% 0.16/15.43 fof(f746,plain,(
% 0.16/15.43 $false|~sQ46_spl|~sQ58_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f740,f33])).
% 0.16/15.43 fof(f747,plain,(
% 0.16/15.43 ~sQ46_spl|~sQ58_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f746])).
% 0.16/15.43 fof(f780,plain,(
% 0.16/15.43 equalish(e_3,e_1)|~sQ17_spl|~sQ39_spl|~sQ24_spl),
% 0.16/15.43 inference(resolution,[status(thm)],[f482,f553])).
% 0.16/15.43 fof(f781,plain,(
% 0.16/15.43 $false|~sQ17_spl|~sQ39_spl|~sQ24_spl),
% 0.16/15.43 inference(forward_subsumption_resolution,[status(thm)],[f780,f33])).
% 0.16/15.43 fof(f782,plain,(
% 0.16/15.43 ~sQ17_spl|~sQ39_spl|~sQ24_spl),
% 0.16/15.43 inference(contradiction_clause,[status(thm)],[f781])).
% 0.16/15.43 fof(f783,plain,(
% 0.16/15.43 $false),
% 0.16/15.43 inference(sat_refutation,[status(thm)],[f90,f103,f116,f133,f159,f172,f189,f202,f228,f271,f284,f291,f312,f319,f349,f356,f363,f370,f404,f406,f413,f428,f453,f480,f500,f507,f526,f534,f564,f572,f574,f576,f603,f621,f635,f637,f639,f648,f657,f666,f675,f683,f692,f701,f708,f719,f726,f728,f747,f782])).
% 0.16/15.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/15.44 % Elapsed time: 0.039071 seconds
% 0.16/15.44 % CPU time: 0.135988 seconds
% 0.16/15.44 % Total memory used: 5.992 MB
% 0.16/15.44 % Net memory used: 5.918 MB
%------------------------------------------------------------------------------