%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP127-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:35:53 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP127-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:02:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f1,axiom,(
% 0.09/0.38 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(e_1,X,Y)| product(e_2,X,Y)| product(e_3,X,Y)| product(e_4,X,Y) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f2,axiom,(
% 0.09/0.38 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,e_1,Y)| product(X,e_2,Y)| product(X,e_3,Y)| product(X,e_4,Y) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,negated_conjecture,(
% 0.09/0.38 (![Y,X,Z1,Z2]: (( product(Y,X,Z1)| ~ product(Z2,Y,X)| ~ product(Z1,Y,Z2) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f4,negated_conjecture,(
% 0.09/0.38 (![Z1,Y,Z2,X]: (( product(Z1,Y,Z2)| ~ product(Z2,Y,X)| ~ product(Y,X,Z1) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f5,axiom,(
% 0.09/0.38 group_element(e_1) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f6,axiom,(
% 0.09/0.38 group_element(e_2) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f7,axiom,(
% 0.09/0.38 group_element(e_3) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f8,axiom,(
% 0.09/0.38 group_element(e_4) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f9,axiom,(
% 0.09/0.38 ~ equalish(e_1,e_2) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f10,axiom,(
% 0.09/0.38 ~ equalish(e_1,e_3) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f11,axiom,(
% 0.09/0.38 ~ equalish(e_1,e_4) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f12,axiom,(
% 0.09/0.38 ~ equalish(e_2,e_1) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f13,axiom,(
% 0.09/0.38 ~ equalish(e_2,e_3) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f14,axiom,(
% 0.09/0.38 ~ equalish(e_2,e_4) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f15,axiom,(
% 0.09/0.38 ~ equalish(e_3,e_1) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f16,axiom,(
% 0.09/0.38 ~ equalish(e_3,e_2) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f17,axiom,(
% 0.09/0.38 ~ equalish(e_3,e_4) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f18,axiom,(
% 0.09/0.38 ~ equalish(e_4,e_1) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f19,axiom,(
% 0.09/0.38 ~ equalish(e_4,e_2) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f20,axiom,(
% 0.09/0.38 ~ equalish(e_4,e_3) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f21,axiom,(
% 0.09/0.38 (![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) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f22,axiom,(
% 0.09/0.38 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f23,axiom,(
% 0.09/0.38 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f24,axiom,(
% 0.09/0.38 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f25,axiom,(
% 0.09/0.38 (![X]: (product(X,X,X) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f26,negated_conjecture,(
% 0.09/0.38 (![Y,X,Z1,Z2]: (( ~ product(Y,X,Z1)| ~ product(Z1,Y,Z2)| product(Z2,Y,X) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f27,plain,(
% 0.09/0.38 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(e_1,X0,X1)|product(e_2,X0,X1)|product(e_3,X0,X1)|product(e_4,X0,X1))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.38 fof(f28,plain,(
% 0.09/0.38 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,e_1,X1)|product(X0,e_2,X1)|product(X0,e_3,X1)|product(X0,e_4,X1))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f29,plain,(
% 0.09/0.38 ![Y,Z1,Z2]: ((![X]: (product(Y,X,Z1)|~product(Z2,Y,X)))|~product(Z1,Y,Z2))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.38 fof(f30,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X3,X0,X1)|~product(X2,X0,X3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 ![Z1,Y,X]: ((![Z2]: (product(Z1,Y,Z2)|~product(Z2,Y,X)))|~product(Y,X,Z1))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.39 fof(f32,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X2,X1,X3)|~product(X1,X3,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 group_element(e_1)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 group_element(e_2)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 group_element(e_3)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 group_element(e_4)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 ~equalish(e_1,e_2)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 ~equalish(e_1,e_3)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 ~equalish(e_1,e_4)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 ~equalish(e_2,e_1)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 ~equalish(e_2,e_3)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.39 fof(f42,plain,(
% 0.09/0.39 ~equalish(e_2,e_4)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.39 fof(f43,plain,(
% 0.09/0.39 ~equalish(e_3,e_1)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.39 fof(f44,plain,(
% 0.09/0.39 ~equalish(e_3,e_2)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.39 fof(f45,plain,(
% 0.09/0.39 ~equalish(e_3,e_4)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.39 fof(f46,plain,(
% 0.09/0.39 ~equalish(e_4,e_1)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.39 fof(f47,plain,(
% 0.09/0.39 ~equalish(e_4,e_2)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.39 fof(f48,plain,(
% 0.09/0.39 ~equalish(e_4,e_3)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.39 fof(f49,plain,(
% 0.09/0.39 ![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))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.39 fof(f50,plain,(
% 0.09/0.39 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.09/0.39 fof(f51,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.39 fof(f52,plain,(
% 0.09/0.39 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f23])).
% 0.09/0.39 fof(f53,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.39 fof(f54,plain,(
% 0.09/0.39 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f24])).
% 0.09/0.39 fof(f55,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f54])).
% 0.09/0.39 fof(f56,plain,(
% 0.09/0.39 ![X0]: (product(X0,X0,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.39 fof(f57,plain,(
% 0.09/0.39 ![Y,X,Z2]: ((![Z1]: (~product(Y,X,Z1)|~product(Z1,Y,Z2)))|product(Z2,Y,X))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f26])).
% 0.09/0.39 fof(f58,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X2,X0,X3)|product(X3,X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f57])).
% 0.09/0.39 fof(f65,plain,(
% 0.09/0.39 ![X0]: (~group_element(X0)|product(e_1,e_4,X0)|product(e_2,e_4,X0)|product(e_3,e_4,X0)|product(e_4,e_4,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f27,f36])).
% 0.09/0.39 fof(f66,plain,(
% 0.09/0.39 ![X0]: (~group_element(X0)|product(e_1,e_3,X0)|product(e_2,e_3,X0)|product(e_3,e_3,X0)|product(e_4,e_3,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f27,f35])).
% 0.09/0.39 fof(f67,plain,(
% 0.09/0.39 ![X0]: (~group_element(X0)|product(e_1,e_2,X0)|product(e_2,e_2,X0)|product(e_3,e_2,X0)|product(e_4,e_2,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f27,f34])).
% 0.09/0.39 fof(f68,plain,(
% 0.09/0.39 ![X0]: (~group_element(X0)|product(e_1,e_1,X0)|product(e_2,e_1,X0)|product(e_3,e_1,X0)|product(e_4,e_1,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f27,f33])).
% 0.09/0.39 fof(f69,plain,(
% 0.09/0.39 ![X0]: (~group_element(X0)|product(e_4,e_1,X0)|product(e_4,e_2,X0)|product(e_4,e_3,X0)|product(e_4,e_4,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f28,f36])).
% 0.09/0.39 fof(f70,plain,(
% 0.09/0.39 ![X0]: (~group_element(X0)|product(e_3,e_1,X0)|product(e_3,e_2,X0)|product(e_3,e_3,X0)|product(e_3,e_4,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f28,f35])).
% 0.09/0.39 fof(f71,plain,(
% 0.09/0.39 ![X0]: (~group_element(X0)|product(e_2,e_1,X0)|product(e_2,e_2,X0)|product(e_2,e_3,X0)|product(e_2,e_4,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f28,f34])).
% 0.09/0.39 fof(f72,plain,(
% 0.09/0.39 ![X0]: (~group_element(X0)|product(e_1,e_1,X0)|product(e_1,e_2,X0)|product(e_1,e_3,X0)|product(e_1,e_4,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f28,f33])).
% 0.09/0.39 fof(f73,plain,(
% 0.09/0.39 ![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))),
% 0.09/0.39 inference(resolution,[status(thm)],[f49,f36])).
% 0.09/0.39 fof(f74,plain,(
% 0.09/0.39 ![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))),
% 0.09/0.39 inference(resolution,[status(thm)],[f49,f35])).
% 0.09/0.39 fof(f75,plain,(
% 0.09/0.39 ![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))),
% 0.09/0.39 inference(resolution,[status(thm)],[f49,f34])).
% 0.09/0.39 fof(f76,plain,(
% 0.09/0.39 ![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))),
% 0.09/0.39 inference(resolution,[status(thm)],[f49,f33])).
% 0.09/0.39 fof(f77,plain,(
% 0.09/0.39 product(e_1,e_4,e_4)|product(e_2,e_4,e_4)|product(e_3,e_4,e_4)|product(e_4,e_4,e_4)),
% 0.09/0.39 inference(resolution,[status(thm)],[f65,f36])).
% 0.09/0.39 fof(f81,definition,(
% 0.09/0.39 sQ0_spl <=> (product(e_1,e_4,e_4))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f82,plain,(
% 0.09/0.39 product(e_1,e_4,e_4)|~sQ0_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.09/0.39 fof(f84,definition,(
% 0.09/0.39 sQ1_spl <=> (product(e_2,e_4,e_4))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f85,plain,(
% 0.09/0.39 product(e_2,e_4,e_4)|~sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f84])).
% 0.09/0.39 fof(f87,definition,(
% 0.09/0.39 sQ2_spl <=> (product(e_3,e_4,e_4))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f88,plain,(
% 0.09/0.39 product(e_3,e_4,e_4)|~sQ2_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f87])).
% 0.09/0.39 fof(f90,definition,(
% 0.09/0.39 sQ3_spl <=> (product(e_4,e_4,e_4))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f93,plain,(
% 0.09/0.39 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f77,f81,f84,f87,f90])).
% 0.09/0.39 fof(f97,definition,(
% 0.09/0.39 sQ5_spl <=> (product(e_2,e_4,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f98,plain,(
% 0.09/0.39 product(e_2,e_4,e_3)|~sQ5_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.09/0.39 fof(f100,definition,(
% 0.09/0.39 sQ6_spl <=> (product(e_3,e_4,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f101,plain,(
% 0.09/0.39 product(e_3,e_4,e_3)|~sQ6_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f100])).
% 0.09/0.39 fof(f103,definition,(
% 0.09/0.39 sQ7_spl <=> (product(e_4,e_4,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f107,definition,(
% 0.09/0.39 sQ8_spl <=> (product(e_1,e_4,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f110,definition,(
% 0.09/0.39 sQ9_spl <=> (product(e_2,e_4,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f111,plain,(
% 0.09/0.39 product(e_2,e_4,e_2)|~sQ9_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f110])).
% 0.09/0.39 fof(f113,definition,(
% 0.09/0.39 sQ10_spl <=> (product(e_3,e_4,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f114,plain,(
% 0.09/0.39 product(e_3,e_4,e_2)|~sQ10_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f113])).
% 0.09/0.39 fof(f123,definition,(
% 0.09/0.39 sQ13_spl <=> (product(e_2,e_4,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f124,plain,(
% 0.09/0.39 product(e_2,e_4,e_1)|~sQ13_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f123])).
% 0.09/0.39 fof(f126,definition,(
% 0.09/0.39 sQ14_spl <=> (product(e_3,e_4,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f127,plain,(
% 0.09/0.39 product(e_3,e_4,e_1)|~sQ14_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f126])).
% 0.09/0.39 fof(f135,plain,(
% 0.09/0.39 product(e_1,e_3,e_2)|product(e_2,e_3,e_2)|product(e_3,e_3,e_2)|product(e_4,e_3,e_2)),
% 0.09/0.39 inference(resolution,[status(thm)],[f66,f34])).
% 0.09/0.39 fof(f136,plain,(
% 0.09/0.39 product(e_1,e_3,e_1)|product(e_2,e_3,e_1)|product(e_3,e_3,e_1)|product(e_4,e_3,e_1)),
% 0.09/0.39 inference(resolution,[status(thm)],[f66,f33])).
% 0.09/0.39 fof(f137,definition,(
% 0.09/0.39 sQ16_spl <=> (product(e_1,e_3,e_4))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f150,definition,(
% 0.09/0.39 sQ20_spl <=> (product(e_1,e_3,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f153,definition,(
% 0.09/0.39 sQ21_spl <=> (product(e_2,e_3,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f154,plain,(
% 0.09/0.39 product(e_2,e_3,e_3)|~sQ21_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f153])).
% 0.09/0.39 fof(f156,definition,(
% 0.09/0.39 sQ22_spl <=> (product(e_3,e_3,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f159,definition,(
% 0.09/0.39 sQ23_spl <=> (product(e_4,e_3,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f160,plain,(
% 0.09/0.39 product(e_4,e_3,e_3)|~sQ23_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f159])).
% 0.09/0.39 fof(f163,definition,(
% 0.09/0.39 sQ24_spl <=> (product(e_1,e_3,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f164,plain,(
% 0.09/0.39 product(e_1,e_3,e_2)|~sQ24_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f163])).
% 0.09/0.39 fof(f166,definition,(
% 0.09/0.39 sQ25_spl <=> (product(e_2,e_3,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f167,plain,(
% 0.09/0.39 product(e_2,e_3,e_2)|~sQ25_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f166])).
% 0.09/0.39 fof(f169,definition,(
% 0.09/0.39 sQ26_spl <=> (product(e_3,e_3,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f170,plain,(
% 0.09/0.39 product(e_3,e_3,e_2)|~sQ26_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f169])).
% 0.09/0.39 fof(f172,definition,(
% 0.09/0.39 sQ27_spl <=> (product(e_4,e_3,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f173,plain,(
% 0.09/0.39 product(e_4,e_3,e_2)|~sQ27_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f172])).
% 0.09/0.39 fof(f175,plain,(
% 0.09/0.39 sQ24_spl|sQ25_spl|sQ26_spl|sQ27_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f135,f163,f166,f169,f172])).
% 0.09/0.39 fof(f176,definition,(
% 0.09/0.39 sQ28_spl <=> (product(e_1,e_3,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f177,plain,(
% 0.09/0.39 product(e_1,e_3,e_1)|~sQ28_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f176])).
% 0.09/0.39 fof(f179,definition,(
% 0.09/0.39 sQ29_spl <=> (product(e_2,e_3,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f180,plain,(
% 0.09/0.39 product(e_2,e_3,e_1)|~sQ29_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f179])).
% 0.09/0.39 fof(f182,definition,(
% 0.09/0.39 sQ30_spl <=> (product(e_3,e_3,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f183,plain,(
% 0.09/0.39 product(e_3,e_3,e_1)|~sQ30_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f182])).
% 0.09/0.39 fof(f185,definition,(
% 0.09/0.39 sQ31_spl <=> (product(e_4,e_3,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f186,plain,(
% 0.09/0.39 product(e_4,e_3,e_1)|~sQ31_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f185])).
% 0.09/0.39 fof(f188,plain,(
% 0.09/0.39 sQ28_spl|sQ29_spl|sQ30_spl|sQ31_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f136,f176,f179,f182,f185])).
% 0.09/0.39 fof(f190,plain,(
% 0.09/0.39 product(e_1,e_2,e_3)|product(e_2,e_2,e_3)|product(e_3,e_2,e_3)|product(e_4,e_2,e_3)),
% 0.09/0.39 inference(resolution,[status(thm)],[f67,f35])).
% 0.09/0.39 fof(f199,definition,(
% 0.09/0.39 sQ34_spl <=> (product(e_3,e_2,e_4))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f202,definition,(
% 0.09/0.39 sQ35_spl <=> (product(e_4,e_2,e_4))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f203,plain,(
% 0.09/0.39 product(e_4,e_2,e_4)|~sQ35_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f202])).
% 0.09/0.39 fof(f206,definition,(
% 0.09/0.39 sQ36_spl <=> (product(e_1,e_2,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f207,plain,(
% 0.09/0.39 product(e_1,e_2,e_3)|~sQ36_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f206])).
% 0.09/0.39 fof(f209,definition,(
% 0.09/0.39 sQ37_spl <=> (product(e_2,e_2,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f210,plain,(
% 0.09/0.39 product(e_2,e_2,e_3)|~sQ37_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f209])).
% 0.09/0.39 fof(f212,definition,(
% 0.09/0.39 sQ38_spl <=> (product(e_3,e_2,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f213,plain,(
% 0.09/0.39 product(e_3,e_2,e_3)|~sQ38_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f212])).
% 0.09/0.39 fof(f215,definition,(
% 0.09/0.39 sQ39_spl <=> (product(e_4,e_2,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f216,plain,(
% 0.09/0.39 product(e_4,e_2,e_3)|~sQ39_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f215])).
% 0.09/0.39 fof(f218,plain,(
% 0.09/0.39 sQ36_spl|sQ37_spl|sQ38_spl|sQ39_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f190,f206,f209,f212,f215])).
% 0.09/0.39 fof(f219,definition,(
% 0.09/0.39 sQ40_spl <=> (product(e_1,e_2,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f222,definition,(
% 0.09/0.39 sQ41_spl <=> (product(e_2,e_2,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f225,definition,(
% 0.09/0.39 sQ42_spl <=> (product(e_3,e_2,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f226,plain,(
% 0.09/0.39 product(e_3,e_2,e_2)|~sQ42_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f225])).
% 0.09/0.39 fof(f228,definition,(
% 0.09/0.39 sQ43_spl <=> (product(e_4,e_2,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f229,plain,(
% 0.09/0.39 product(e_4,e_2,e_2)|~sQ43_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f228])).
% 0.09/0.39 fof(f235,definition,(
% 0.09/0.39 sQ45_spl <=> (product(e_2,e_2,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f236,plain,(
% 0.09/0.39 product(e_2,e_2,e_1)|~sQ45_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f235])).
% 0.09/0.39 fof(f238,definition,(
% 0.09/0.39 sQ46_spl <=> (product(e_3,e_2,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f239,plain,(
% 0.09/0.39 product(e_3,e_2,e_1)|~sQ46_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f238])).
% 0.09/0.39 fof(f241,definition,(
% 0.09/0.39 sQ47_spl <=> (product(e_4,e_2,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f242,plain,(
% 0.09/0.39 product(e_4,e_2,e_1)|~sQ47_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f241])).
% 0.09/0.39 fof(f246,plain,(
% 0.09/0.39 product(e_1,e_1,e_3)|product(e_2,e_1,e_3)|product(e_3,e_1,e_3)|product(e_4,e_1,e_3)),
% 0.09/0.39 inference(resolution,[status(thm)],[f68,f35])).
% 0.09/0.39 fof(f248,plain,(
% 0.09/0.39 product(e_1,e_1,e_1)|product(e_2,e_1,e_1)|product(e_3,e_1,e_1)|product(e_4,e_1,e_1)),
% 0.09/0.39 inference(resolution,[status(thm)],[f68,f33])).
% 0.09/0.39 fof(f258,definition,(
% 0.09/0.39 sQ51_spl <=> (product(e_4,e_1,e_4))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f262,definition,(
% 0.09/0.39 sQ52_spl <=> (product(e_1,e_1,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f265,definition,(
% 0.09/0.39 sQ53_spl <=> (product(e_2,e_1,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f266,plain,(
% 0.09/0.39 product(e_2,e_1,e_3)|~sQ53_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f265])).
% 0.09/0.39 fof(f268,definition,(
% 0.09/0.39 sQ54_spl <=> (product(e_3,e_1,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f269,plain,(
% 0.09/0.39 product(e_3,e_1,e_3)|~sQ54_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f268])).
% 0.09/0.39 fof(f271,definition,(
% 0.09/0.39 sQ55_spl <=> (product(e_4,e_1,e_3))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f272,plain,(
% 0.09/0.39 product(e_4,e_1,e_3)|~sQ55_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f271])).
% 0.09/0.39 fof(f274,plain,(
% 0.09/0.39 sQ52_spl|sQ53_spl|sQ54_spl|sQ55_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f246,f262,f265,f268,f271])).
% 0.09/0.39 fof(f275,definition,(
% 0.09/0.39 sQ56_spl <=> (product(e_1,e_1,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f276,plain,(
% 0.09/0.39 product(e_1,e_1,e_2)|~sQ56_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f275])).
% 0.09/0.39 fof(f278,definition,(
% 0.09/0.39 sQ57_spl <=> (product(e_2,e_1,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f279,plain,(
% 0.09/0.39 product(e_2,e_1,e_2)|~sQ57_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f278])).
% 0.09/0.39 fof(f281,definition,(
% 0.09/0.39 sQ58_spl <=> (product(e_3,e_1,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f282,plain,(
% 0.09/0.39 product(e_3,e_1,e_2)|~sQ58_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f281])).
% 0.09/0.39 fof(f284,definition,(
% 0.09/0.39 sQ59_spl <=> (product(e_4,e_1,e_2))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f288,definition,(
% 0.09/0.39 sQ60_spl <=> (product(e_1,e_1,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f291,definition,(
% 0.09/0.39 sQ61_spl <=> (product(e_2,e_1,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f292,plain,(
% 0.09/0.39 product(e_2,e_1,e_1)|~sQ61_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f291])).
% 0.09/0.39 fof(f294,definition,(
% 0.09/0.39 sQ62_spl <=> (product(e_3,e_1,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f295,plain,(
% 0.09/0.39 product(e_3,e_1,e_1)|~sQ62_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f294])).
% 0.09/0.39 fof(f297,definition,(
% 0.09/0.39 sQ63_spl <=> (product(e_4,e_1,e_1))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f298,plain,(
% 0.09/0.39 product(e_4,e_1,e_1)|~sQ63_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f297])).
% 0.09/0.39 fof(f300,plain,(
% 0.09/0.39 sQ60_spl|sQ61_spl|sQ62_spl|sQ63_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f248,f288,f291,f294,f297])).
% 0.09/0.39 fof(f302,plain,(
% 0.09/0.39 product(e_4,e_1,e_3)|product(e_4,e_2,e_3)|product(e_4,e_3,e_3)|product(e_4,e_4,e_3)),
% 0.09/0.39 inference(resolution,[status(thm)],[f69,f35])).
% 0.09/0.39 fof(f306,plain,(
% 0.09/0.39 sQ55_spl|sQ39_spl|sQ23_spl|sQ7_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f302,f271,f215,f159,f103])).
% 0.09/0.39 fof(f310,plain,(
% 0.09/0.39 product(e_3,e_1,e_3)|product(e_3,e_2,e_3)|product(e_3,e_3,e_3)|product(e_3,e_4,e_3)),
% 0.09/0.39 inference(resolution,[status(thm)],[f70,f35])).
% 0.09/0.39 fof(f311,plain,(
% 0.09/0.39 product(e_3,e_1,e_2)|product(e_3,e_2,e_2)|product(e_3,e_3,e_2)|product(e_3,e_4,e_2)),
% 0.09/0.39 inference(resolution,[status(thm)],[f70,f34])).
% 0.09/0.39 fof(f312,plain,(
% 0.09/0.39 product(e_3,e_1,e_1)|product(e_3,e_2,e_1)|product(e_3,e_3,e_1)|product(e_3,e_4,e_1)),
% 0.09/0.39 inference(resolution,[status(thm)],[f70,f33])).
% 0.09/0.39 fof(f314,plain,(
% 0.09/0.39 sQ54_spl|sQ38_spl|sQ22_spl|sQ6_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f310,f268,f212,f156,f100])).
% 0.09/0.39 fof(f315,plain,(
% 0.09/0.39 sQ58_spl|sQ42_spl|sQ26_spl|sQ10_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f311,f281,f225,f169,f113])).
% 0.09/0.39 fof(f316,plain,(
% 0.09/0.39 sQ62_spl|sQ46_spl|sQ30_spl|sQ14_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f312,f294,f238,f182,f126])).
% 0.09/0.39 fof(f318,plain,(
% 0.09/0.39 product(e_2,e_1,e_3)|product(e_2,e_2,e_3)|product(e_2,e_3,e_3)|product(e_2,e_4,e_3)),
% 0.09/0.39 inference(resolution,[status(thm)],[f71,f35])).
% 0.09/0.39 fof(f319,plain,(
% 0.09/0.39 product(e_2,e_1,e_2)|product(e_2,e_2,e_2)|product(e_2,e_3,e_2)|product(e_2,e_4,e_2)),
% 0.09/0.39 inference(resolution,[status(thm)],[f71,f34])).
% 0.09/0.39 fof(f320,plain,(
% 0.09/0.39 product(e_2,e_1,e_1)|product(e_2,e_2,e_1)|product(e_2,e_3,e_1)|product(e_2,e_4,e_1)),
% 0.09/0.39 inference(resolution,[status(thm)],[f71,f33])).
% 0.09/0.39 fof(f322,plain,(
% 0.09/0.39 sQ53_spl|sQ37_spl|sQ21_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f318,f265,f209,f153,f97])).
% 0.09/0.39 fof(f323,plain,(
% 0.09/0.39 sQ57_spl|sQ41_spl|sQ25_spl|sQ9_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f319,f278,f222,f166,f110])).
% 0.09/0.39 fof(f324,plain,(
% 0.09/0.39 sQ61_spl|sQ45_spl|sQ29_spl|sQ13_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f320,f291,f235,f179,f123])).
% 0.09/0.39 fof(f327,plain,(
% 0.09/0.39 product(e_1,e_1,e_2)|product(e_1,e_2,e_2)|product(e_1,e_3,e_2)|product(e_1,e_4,e_2)),
% 0.09/0.39 inference(resolution,[status(thm)],[f72,f34])).
% 0.09/0.39 fof(f331,plain,(
% 0.09/0.39 sQ56_spl|sQ40_spl|sQ24_spl|sQ8_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f327,f275,f219,f163,f107])).
% 0.09/0.39 fof(f335,plain,(
% 0.09/0.39 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)),
% 0.09/0.39 inference(resolution,[status(thm)],[f73,f34])).
% 0.09/0.39 fof(f336,plain,(
% 0.09/0.39 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)),
% 0.09/0.39 inference(resolution,[status(thm)],[f73,f33])).
% 0.09/0.39 fof(f339,plain,(
% 0.09/0.39 sQ47_spl|sQ43_spl|sQ39_spl|sQ35_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f335,f241,f228,f215,f202])).
% 0.09/0.39 fof(f340,plain,(
% 0.09/0.39 sQ63_spl|sQ59_spl|sQ55_spl|sQ51_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f336,f297,f284,f271,f258])).
% 0.09/0.39 fof(f341,plain,(
% 0.09/0.39 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)),
% 0.09/0.39 inference(resolution,[status(thm)],[f74,f36])).
% 0.09/0.39 fof(f343,plain,(
% 0.09/0.39 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)),
% 0.09/0.39 inference(resolution,[status(thm)],[f74,f34])).
% 0.09/0.39 fof(f345,plain,(
% 0.09/0.39 sQ14_spl|sQ10_spl|sQ6_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f341,f126,f113,f100,f87])).
% 0.09/0.39 fof(f347,plain,(
% 0.09/0.39 sQ46_spl|sQ42_spl|sQ38_spl|sQ34_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f343,f238,f225,f212,f199])).
% 0.09/0.39 fof(f349,plain,(
% 0.09/0.39 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)),
% 0.09/0.39 inference(resolution,[status(thm)],[f75,f36])).
% 0.09/0.39 fof(f353,plain,(
% 0.09/0.39 sQ13_spl|sQ9_spl|sQ5_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f349,f123,f110,f97,f84])).
% 0.09/0.39 fof(f358,plain,(
% 0.09/0.39 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)|product(e_1,e_3,e_4)),
% 0.09/0.39 inference(resolution,[status(thm)],[f76,f35])).
% 0.09/0.39 fof(f362,plain,(
% 0.09/0.39 sQ28_spl|sQ24_spl|sQ20_spl|sQ16_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f358,f176,f163,f150,f137])).
% 0.09/0.39 fof(f367,plain,(
% 0.09/0.39 ![X0]: (product(e_3,e_1,X0)|~product(X0,e_3,e_4)|~sQ31_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f186,f30])).
% 0.09/0.39 fof(f368,plain,(
% 0.09/0.39 ![X0]: (~product(e_3,X0,e_4)|product(e_2,e_3,X0)|~sQ27_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f173,f58])).
% 0.09/0.39 fof(f369,plain,(
% 0.09/0.39 ![X0]: (product(X0,e_3,e_4)|~product(e_3,e_2,X0)|~sQ27_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f173,f32])).
% 0.09/0.39 fof(f370,plain,(
% 0.09/0.39 ![X0]: (product(e_3,e_2,X0)|~product(X0,e_3,e_4)|~sQ27_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f173,f30])).
% 0.09/0.39 fof(f373,plain,(
% 0.09/0.39 ![X0,X1]: (~product(X0,X0,X1)|equalish(X1,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f51,f56])).
% 0.09/0.39 fof(f377,plain,(
% 0.09/0.39 ![X0,X1]: (~product(X0,X1,X0)|equalish(X1,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f53,f56])).
% 0.09/0.39 fof(f381,plain,(
% 0.09/0.39 ![X0,X1]: (~product(X0,X1,X1)|equalish(X0,X1))),
% 0.09/0.39 inference(resolution,[status(thm)],[f55,f56])).
% 0.09/0.39 fof(f383,plain,(
% 0.09/0.39 equalish(e_4,e_3)|~sQ23_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f160,f381])).
% 0.09/0.39 fof(f391,plain,(
% 0.09/0.39 $false|~sQ23_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f383,f48])).
% 0.09/0.39 fof(f392,plain,(
% 0.09/0.39 ~sQ23_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f391])).
% 0.09/0.39 fof(f397,plain,(
% 0.09/0.39 ![X0]: (product(X0,e_2,e_4)|~product(e_2,e_1,X0)|~sQ47_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f242,f32])).
% 0.09/0.39 fof(f399,plain,(
% 0.09/0.39 equalish(e_4,e_2)|~sQ43_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f229,f381])).
% 0.09/0.39 fof(f407,plain,(
% 0.09/0.39 $false|~sQ43_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f399,f47])).
% 0.09/0.39 fof(f408,plain,(
% 0.09/0.39 ~sQ43_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f407])).
% 0.09/0.39 fof(f413,plain,(
% 0.09/0.39 ![X0]: (product(X0,e_2,e_4)|~product(e_2,e_3,X0)|~sQ39_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f216,f32])).
% 0.09/0.39 fof(f415,plain,(
% 0.09/0.39 equalish(e_4,e_1)|~sQ63_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f298,f381])).
% 0.09/0.39 fof(f423,plain,(
% 0.09/0.39 $false|~sQ63_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f415,f46])).
% 0.09/0.39 fof(f424,plain,(
% 0.09/0.39 ~sQ63_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f423])).
% 0.09/0.39 fof(f434,plain,(
% 0.09/0.39 ![X0]: (~product(e_1,X0,e_4)|product(e_3,e_1,X0)|~sQ55_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f272,f58])).
% 0.09/0.39 fof(f440,plain,(
% 0.09/0.39 ![X0]: (~product(e_4,X0,e_3)|product(e_1,e_4,X0)|~sQ14_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f127,f58])).
% 0.09/0.39 fof(f443,plain,(
% 0.09/0.39 product(e_1,e_4,e_1)|~sQ14_spl|~sQ55_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f440,f272])).
% 0.09/0.39 fof(f444,plain,(
% 0.09/0.39 product(e_1,e_4,e_2)|~sQ14_spl|~sQ39_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f440,f216])).
% 0.09/0.39 fof(f446,plain,(
% 0.09/0.39 equalish(e_4,e_1)|~sQ14_spl|~sQ55_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f443,f377])).
% 0.09/0.39 fof(f453,plain,(
% 0.09/0.39 $false|~sQ14_spl|~sQ55_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f446,f46])).
% 0.09/0.39 fof(f454,plain,(
% 0.09/0.39 ~sQ14_spl|~sQ55_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f453])).
% 0.09/0.39 fof(f457,plain,(
% 0.09/0.39 equalish(e_1,e_3)|~sQ30_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f183,f373])).
% 0.09/0.39 fof(f463,plain,(
% 0.09/0.39 $false|~sQ30_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f457,f38])).
% 0.09/0.39 fof(f464,plain,(
% 0.09/0.39 ~sQ30_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f463])).
% 0.09/0.39 fof(f465,plain,(
% 0.09/0.39 product(e_1,e_3,e_4)|~sQ46_spl|~sQ27_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f239,f369])).
% 0.09/0.39 fof(f471,plain,(
% 0.09/0.39 ![X0]: (product(e_2,e_1,X0)|~product(X0,e_2,e_3)|~sQ46_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f239,f30])).
% 0.09/0.39 fof(f474,plain,(
% 0.09/0.39 product(e_3,e_1,e_1)|~sQ46_spl|~sQ27_spl|~sQ31_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f465,f367])).
% 0.09/0.39 fof(f481,plain,(
% 0.09/0.39 product(e_2,e_1,e_4)|~sQ46_spl|~sQ39_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f471,f216])).
% 0.09/0.39 fof(f483,plain,(
% 0.09/0.39 product(e_4,e_2,e_4)|~sQ46_spl|~sQ39_spl|~sQ47_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f481,f397])).
% 0.09/0.39 fof(f503,plain,(
% 0.09/0.39 equalish(e_3,e_1)|~sQ46_spl|~sQ27_spl|~sQ31_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f474,f381])).
% 0.09/0.39 fof(f511,plain,(
% 0.09/0.39 $false|~sQ46_spl|~sQ27_spl|~sQ31_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f503,f43])).
% 0.09/0.39 fof(f512,plain,(
% 0.09/0.39 ~sQ46_spl|~sQ27_spl|~sQ31_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f511])).
% 0.09/0.39 fof(f514,plain,(
% 0.09/0.39 equalish(e_3,e_1)|~sQ62_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f295,f381])).
% 0.09/0.39 fof(f522,plain,(
% 0.09/0.39 $false|~sQ62_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f514,f43])).
% 0.09/0.39 fof(f523,plain,(
% 0.09/0.39 ~sQ62_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f522])).
% 0.09/0.39 fof(f539,plain,(
% 0.09/0.39 equalish(e_2,e_4)|~sQ46_spl|~sQ39_spl|~sQ47_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f483,f377])).
% 0.09/0.39 fof(f546,plain,(
% 0.09/0.39 $false|~sQ46_spl|~sQ39_spl|~sQ47_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f539,f42])).
% 0.09/0.39 fof(f547,plain,(
% 0.09/0.39 ~sQ46_spl|~sQ39_spl|~sQ47_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f546])).
% 0.09/0.39 fof(f564,plain,(
% 0.09/0.39 ![X0]: (product(e_4,e_2,X0)|~product(X0,e_4,e_3)|~sQ10_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f114,f30])).
% 0.09/0.39 fof(f567,plain,(
% 0.09/0.39 equalish(e_2,e_3)|~sQ26_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f170,f373])).
% 0.09/0.39 fof(f573,plain,(
% 0.09/0.39 $false|~sQ26_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f567,f41])).
% 0.09/0.39 fof(f574,plain,(
% 0.09/0.39 ~sQ26_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f573])).
% 0.09/0.39 fof(f575,plain,(
% 0.09/0.39 equalish(e_3,e_2)|~sQ42_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f226,f381])).
% 0.09/0.39 fof(f583,plain,(
% 0.09/0.39 $false|~sQ42_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f575,f44])).
% 0.09/0.39 fof(f584,plain,(
% 0.09/0.39 ~sQ42_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f583])).
% 0.09/0.39 fof(f588,plain,(
% 0.09/0.39 ![X0]: (~product(e_1,X0,e_3)|product(e_2,e_1,X0)|~sQ58_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f282,f58])).
% 0.09/0.39 fof(f594,plain,(
% 0.09/0.39 equalish(e_4,e_3)|~sQ6_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f101,f377])).
% 0.09/0.39 fof(f604,plain,(
% 0.09/0.39 equalish(e_2,e_3)|~sQ38_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f213,f377])).
% 0.09/0.39 fof(f611,plain,(
% 0.09/0.39 $false|~sQ38_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f604,f41])).
% 0.09/0.39 fof(f612,plain,(
% 0.09/0.39 ~sQ38_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f611])).
% 0.09/0.39 fof(f614,plain,(
% 0.09/0.39 equalish(e_1,e_3)|~sQ54_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f269,f377])).
% 0.09/0.39 fof(f621,plain,(
% 0.09/0.39 $false|~sQ54_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f614,f38])).
% 0.09/0.39 fof(f622,plain,(
% 0.09/0.39 ~sQ54_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f621])).
% 0.09/0.39 fof(f623,plain,(
% 0.09/0.39 equalish(e_3,e_4)|~sQ2_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f88,f381])).
% 0.09/0.39 fof(f631,plain,(
% 0.09/0.39 $false|~sQ2_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f623,f45])).
% 0.09/0.39 fof(f632,plain,(
% 0.09/0.39 ~sQ2_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f631])).
% 0.09/0.39 fof(f638,plain,(
% 0.09/0.39 ![X0]: (product(e_4,e_1,X0)|~product(X0,e_4,e_2)|~sQ13_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f124,f30])).
% 0.09/0.39 fof(f641,plain,(
% 0.09/0.39 product(e_4,e_1,e_3)|~sQ13_spl|~sQ10_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f638,f114])).
% 0.09/0.39 fof(f642,plain,(
% 0.09/0.39 sQ55_spl|~sQ13_spl|~sQ10_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f641,f271,f123,f113])).
% 0.09/0.39 fof(f646,plain,(
% 0.09/0.39 ![X0]: (~product(e_3,X0,e_2)|product(e_1,e_3,X0)|~sQ29_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f180,f58])).
% 0.09/0.39 fof(f648,plain,(
% 0.09/0.39 ![X0]: (product(e_3,e_1,X0)|~product(X0,e_3,e_2)|~sQ29_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f180,f30])).
% 0.09/0.39 fof(f649,plain,(
% 0.09/0.39 product(e_1,e_3,e_1)|~sQ29_spl|~sQ58_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f646,f282])).
% 0.09/0.39 fof(f650,plain,(
% 0.09/0.39 product(e_1,e_3,e_4)|~sQ29_spl|~sQ10_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f646,f114])).
% 0.09/0.39 fof(f653,plain,(
% 0.09/0.39 equalish(e_3,e_1)|~sQ29_spl|~sQ58_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f649,f377])).
% 0.09/0.39 fof(f660,plain,(
% 0.09/0.39 $false|~sQ29_spl|~sQ58_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f653,f43])).
% 0.09/0.39 fof(f661,plain,(
% 0.09/0.39 ~sQ29_spl|~sQ58_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f660])).
% 0.09/0.39 fof(f664,plain,(
% 0.09/0.39 equalish(e_1,e_2)|~sQ45_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f236,f373])).
% 0.09/0.39 fof(f670,plain,(
% 0.09/0.39 $false|~sQ45_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f664,f37])).
% 0.09/0.39 fof(f671,plain,(
% 0.09/0.39 ~sQ45_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f670])).
% 0.09/0.39 fof(f673,plain,(
% 0.09/0.39 equalish(e_2,e_1)|~sQ61_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f292,f381])).
% 0.09/0.39 fof(f681,plain,(
% 0.09/0.39 $false|~sQ61_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f673,f40])).
% 0.09/0.39 fof(f682,plain,(
% 0.09/0.39 ~sQ61_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f681])).
% 0.09/0.39 fof(f684,plain,(
% 0.09/0.39 product(e_3,e_1,e_3)|~sQ29_spl|~sQ10_spl|~sQ55_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f650,f434])).
% 0.09/0.39 fof(f686,plain,(
% 0.09/0.39 ![X0]: (~product(e_1,X0,e_4)|equalish(X0,e_3)|~sQ29_spl|~sQ10_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f650,f53])).
% 0.09/0.39 fof(f688,plain,(
% 0.09/0.39 ![X0]: (~product(e_3,X0,e_1)|product(e_4,e_3,X0)|~sQ29_spl|~sQ10_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f650,f58])).
% 0.09/0.39 fof(f691,plain,(
% 0.09/0.39 sQ54_spl|~sQ29_spl|~sQ10_spl|~sQ55_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f684,f268,f179,f113,f271])).
% 0.09/0.39 fof(f692,plain,(
% 0.09/0.39 $false|~sQ6_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f594,f48])).
% 0.09/0.39 fof(f693,plain,(
% 0.09/0.39 ~sQ6_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f692])).
% 0.09/0.39 fof(f696,plain,(
% 0.09/0.39 equalish(e_4,e_2)|~sQ9_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f111,f377])).
% 0.09/0.39 fof(f703,plain,(
% 0.09/0.39 $false|~sQ9_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f696,f47])).
% 0.09/0.39 fof(f704,plain,(
% 0.09/0.39 ~sQ9_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f703])).
% 0.09/0.39 fof(f706,plain,(
% 0.09/0.39 equalish(e_3,e_2)|~sQ25_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f167,f377])).
% 0.09/0.39 fof(f713,plain,(
% 0.09/0.39 $false|~sQ25_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f706,f44])).
% 0.09/0.39 fof(f714,plain,(
% 0.09/0.39 ~sQ25_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f713])).
% 0.09/0.39 fof(f717,plain,(
% 0.09/0.39 equalish(e_1,e_2)|~sQ57_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f279,f377])).
% 0.09/0.39 fof(f724,plain,(
% 0.09/0.39 $false|~sQ57_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f717,f37])).
% 0.09/0.39 fof(f725,plain,(
% 0.09/0.39 ~sQ57_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f724])).
% 0.09/0.39 fof(f727,plain,(
% 0.09/0.39 product(e_4,e_2,e_2)|~sQ5_spl|~sQ10_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f98,f564])).
% 0.09/0.39 fof(f734,plain,(
% 0.09/0.39 sQ43_spl|~sQ5_spl|~sQ10_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f727,f228,f97,f113])).
% 0.09/0.39 fof(f736,plain,(
% 0.09/0.39 equalish(e_2,e_3)|~sQ21_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f154,f381])).
% 0.09/0.39 fof(f744,plain,(
% 0.09/0.39 $false|~sQ21_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f736,f41])).
% 0.09/0.39 fof(f745,plain,(
% 0.09/0.39 ~sQ21_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f744])).
% 0.09/0.39 fof(f750,plain,(
% 0.09/0.39 equalish(e_3,e_2)|~sQ37_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f210,f373])).
% 0.09/0.39 fof(f757,plain,(
% 0.09/0.39 $false|~sQ37_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f750,f44])).
% 0.09/0.39 fof(f758,plain,(
% 0.09/0.39 ~sQ37_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f757])).
% 0.09/0.39 fof(f777,plain,(
% 0.09/0.39 product(e_3,e_2,e_1)|~sQ27_spl|~sQ29_spl|~sQ10_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f370,f650])).
% 0.09/0.39 fof(f788,plain,(
% 0.09/0.39 product(e_4,e_3,e_2)|~sQ27_spl|~sQ29_spl|~sQ10_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f688,f777])).
% 0.09/0.39 fof(f789,plain,(
% 0.09/0.39 product(e_3,e_1,e_4)|~sQ27_spl|~sQ10_spl|~sQ29_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f788,f648])).
% 0.09/0.39 fof(f797,plain,(
% 0.09/0.39 product(e_2,e_3,e_1)|~sQ10_spl|~sQ29_spl|~sQ27_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f789,f368])).
% 0.09/0.39 fof(f804,plain,(
% 0.09/0.39 product(e_1,e_2,e_4)|~sQ10_spl|~sQ29_spl|~sQ27_spl|~sQ39_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f797,f413])).
% 0.09/0.39 fof(f812,plain,(
% 0.09/0.39 equalish(e_2,e_3)|~sQ27_spl|~sQ39_spl|~sQ29_spl|~sQ10_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f804,f686])).
% 0.09/0.39 fof(f820,plain,(
% 0.09/0.39 $false|~sQ27_spl|~sQ39_spl|~sQ29_spl|~sQ10_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f812,f41])).
% 0.09/0.39 fof(f821,plain,(
% 0.09/0.39 ~sQ27_spl|~sQ39_spl|~sQ29_spl|~sQ10_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f820])).
% 0.09/0.39 fof(f827,plain,(
% 0.09/0.39 ![X0]: (~product(e_1,X0,e_2)|product(e_3,e_1,X0)|~sQ53_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f266,f58])).
% 0.09/0.39 fof(f831,plain,(
% 0.09/0.39 equalish(e_2,e_4)|~sQ1_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f85,f381])).
% 0.09/0.39 fof(f839,plain,(
% 0.09/0.39 $false|~sQ1_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f831,f42])).
% 0.09/0.39 fof(f840,plain,(
% 0.09/0.39 ~sQ1_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f839])).
% 0.09/0.39 fof(f842,plain,(
% 0.09/0.39 equalish(e_3,e_1)|~sQ28_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f177,f377])).
% 0.09/0.39 fof(f849,plain,(
% 0.09/0.39 $false|~sQ28_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f842,f43])).
% 0.09/0.39 fof(f850,plain,(
% 0.09/0.39 ~sQ28_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f849])).
% 0.09/0.39 fof(f859,plain,(
% 0.09/0.39 equalish(e_2,e_1)|~sQ56_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f276,f373])).
% 0.09/0.39 fof(f865,plain,(
% 0.09/0.39 $false|~sQ56_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f859,f40])).
% 0.09/0.39 fof(f866,plain,(
% 0.09/0.39 ~sQ56_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f865])).
% 0.09/0.39 fof(f881,plain,(
% 0.09/0.39 equalish(e_1,e_4)|~sQ0_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f82,f381])).
% 0.09/0.39 fof(f889,plain,(
% 0.09/0.39 $false|~sQ0_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f881,f39])).
% 0.09/0.39 fof(f890,plain,(
% 0.09/0.39 ~sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f889])).
% 0.09/0.39 fof(f892,plain,(
% 0.09/0.39 equalish(e_2,e_4)|~sQ35_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f203,f377])).
% 0.09/0.39 fof(f899,plain,(
% 0.09/0.39 $false|~sQ35_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f892,f42])).
% 0.09/0.39 fof(f900,plain,(
% 0.09/0.39 ~sQ35_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f899])).
% 0.09/0.39 fof(f901,plain,(
% 0.09/0.39 product(e_3,e_1,e_3)|~sQ53_spl|~sQ24_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f827,f164])).
% 0.09/0.39 fof(f902,plain,(
% 0.09/0.39 sQ54_spl|~sQ53_spl|~sQ24_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f901,f268,f265,f163])).
% 0.09/0.39 fof(f903,plain,(
% 0.09/0.39 product(e_2,e_1,e_2)|~sQ58_spl|~sQ36_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f588,f207])).
% 0.09/0.39 fof(f904,plain,(
% 0.09/0.39 sQ57_spl|~sQ58_spl|~sQ36_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f903,f278,f281,f206])).
% 0.09/0.39 fof(f905,plain,(
% 0.09/0.39 product(e_4,e_1,e_1)|~sQ14_spl|~sQ39_spl|~sQ13_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f444,f638])).
% 0.09/0.39 fof(f912,plain,(
% 0.09/0.39 sQ63_spl|~sQ14_spl|~sQ39_spl|~sQ13_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f905,f297,f126,f215,f123])).
% 0.09/0.39 fof(f913,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f93,f175,f188,f218,f274,f300,f306,f314,f315,f316,f322,f323,f324,f331,f339,f340,f345,f347,f353,f362,f392,f408,f424,f454,f464,f512,f523,f547,f574,f584,f612,f622,f632,f642,f661,f671,f682,f691,f693,f704,f714,f725,f734,f745,f758,f821,f840,f850,f866,f890,f900,f902,f904,f912])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.047320 seconds
% 0.09/0.41 % CPU time: 0.210882 seconds
% 0.09/0.41 % Total memory used: 16.989 MB
% 0.09/0.41 % Net memory used: 16.686 MB
%------------------------------------------------------------------------------