%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP127-1.004 : 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 : n010.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 12:35:52 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP127-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.75 % Computer : n010.cluster.edu
% 0.10/0.75 % Model : x86_64 x86_64
% 0.10/0.75 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.75 % Memory : 8046.5625MB
% 0.10/0.75 % OS : Linux 6.8.0-71-generic
% 0.10/0.75 % CPULimit : 300
% 0.10/0.75 % WCLimit : 300
% 0.10/0.75 % DateTime : Sun Sep 20 20:00:42 UTC 2026
% 0.10/0.75 % CPUTime :
% 0.10/0.76 % Drodi V4.1.1
% 0.10/0.79 % Refutation found
% 0.10/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.79 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.79 fof(f1,axiom,(
% 0.10/0.79 group_element(e_1) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f2,axiom,(
% 0.10/0.79 group_element(e_2) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f3,axiom,(
% 0.10/0.79 group_element(e_3) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f4,axiom,(
% 0.10/0.79 group_element(e_4) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f5,axiom,(
% 0.10/0.79 ~ equalish(e_1,e_2) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f6,axiom,(
% 0.10/0.79 ~ equalish(e_1,e_3) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f7,axiom,(
% 0.10/0.79 ~ equalish(e_1,e_4) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f8,axiom,(
% 0.10/0.79 ~ equalish(e_2,e_1) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f9,axiom,(
% 0.10/0.79 ~ equalish(e_2,e_3) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f10,axiom,(
% 0.10/0.79 ~ equalish(e_2,e_4) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f11,axiom,(
% 0.10/0.79 ~ equalish(e_3,e_1) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f12,axiom,(
% 0.10/0.79 ~ equalish(e_3,e_2) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f13,axiom,(
% 0.10/0.79 ~ equalish(e_3,e_4) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f14,axiom,(
% 0.10/0.79 ~ equalish(e_4,e_1) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f15,axiom,(
% 0.10/0.79 ~ equalish(e_4,e_2) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f16,axiom,(
% 0.10/0.79 ~ equalish(e_4,e_3) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f17,axiom,(
% 0.10/0.79 (![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) ) ))),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f18,axiom,(
% 0.10/0.79 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f19,axiom,(
% 0.10/0.79 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f20,axiom,(
% 0.10/0.79 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f21,axiom,(
% 0.10/0.79 (![X]: (product(X,X,X) ))),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f22,negated_conjecture,(
% 0.10/0.79 (![Y,X,Z1,Z2]: (( ~ product(Y,X,Z1)| ~ product(Z1,Y,Z2)| product(Z2,Y,X) ) ))),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f23,plain,(
% 0.10/0.79 group_element(e_1)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.79 fof(f24,plain,(
% 0.10/0.79 group_element(e_2)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.79 fof(f25,plain,(
% 0.10/0.79 group_element(e_3)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.79 fof(f26,plain,(
% 0.10/0.79 group_element(e_4)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.79 fof(f27,plain,(
% 0.10/0.79 ~equalish(e_1,e_2)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.79 fof(f28,plain,(
% 0.10/0.79 ~equalish(e_1,e_3)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.79 fof(f29,plain,(
% 0.10/0.79 ~equalish(e_1,e_4)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.79 fof(f30,plain,(
% 0.10/0.79 ~equalish(e_2,e_1)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.79 fof(f31,plain,(
% 0.10/0.79 ~equalish(e_2,e_3)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.79 fof(f32,plain,(
% 0.10/0.79 ~equalish(e_2,e_4)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.79 fof(f33,plain,(
% 0.10/0.79 ~equalish(e_3,e_1)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.79 fof(f34,plain,(
% 0.10/0.79 ~equalish(e_3,e_2)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.79 fof(f35,plain,(
% 0.10/0.79 ~equalish(e_3,e_4)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.79 fof(f36,plain,(
% 0.10/0.79 ~equalish(e_4,e_1)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.79 fof(f37,plain,(
% 0.10/0.79 ~equalish(e_4,e_2)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.79 fof(f38,plain,(
% 0.10/0.79 ~equalish(e_4,e_3)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.79 fof(f39,plain,(
% 0.10/0.79 ![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))),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.79 fof(f40,plain,(
% 0.10/0.79 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.10/0.79 inference(miniscoping,[status(thm)],[f18])).
% 0.10/0.79 fof(f41,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.79 fof(f42,plain,(
% 0.10/0.79 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.10/0.79 inference(miniscoping,[status(thm)],[f19])).
% 0.10/0.79 fof(f43,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f42])).
% 0.10/0.79 fof(f44,plain,(
% 0.10/0.79 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.10/0.79 inference(miniscoping,[status(thm)],[f20])).
% 0.10/0.79 fof(f45,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f44])).
% 0.10/0.79 fof(f46,plain,(
% 0.10/0.79 ![X0]: (product(X0,X0,X0))),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.79 fof(f47,plain,(
% 0.10/0.79 ![Y,X,Z2]: ((![Z1]: (~product(Y,X,Z1)|~product(Z1,Y,Z2)))|product(Z2,Y,X))),
% 0.10/0.79 inference(miniscoping,[status(thm)],[f22])).
% 0.10/0.79 fof(f48,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X2,X0,X3)|product(X3,X0,X1))),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f47])).
% 0.10/0.79 fof(f51,plain,(
% 0.10/0.79 ![X0,X1]: (~product(X0,X0,X1)|equalish(X1,X0))),
% 0.10/0.79 inference(resolution,[status(thm)],[f41,f46])).
% 0.10/0.79 fof(f53,plain,(
% 0.10/0.79 ![X0,X1]: (~product(X0,X1,X0)|equalish(X1,X0))),
% 0.10/0.79 inference(resolution,[status(thm)],[f43,f46])).
% 0.10/0.79 fof(f54,plain,(
% 0.10/0.79 ![X0,X1]: (~product(X0,X1,X1)|equalish(X0,X1))),
% 0.10/0.79 inference(resolution,[status(thm)],[f45,f46])).
% 0.10/0.79 fof(f56,plain,(
% 0.10/0.79 ![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))),
% 0.10/0.79 inference(resolution,[status(thm)],[f39,f26])).
% 0.10/0.79 fof(f57,plain,(
% 0.10/0.79 ![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))),
% 0.10/0.79 inference(resolution,[status(thm)],[f39,f25])).
% 0.10/0.79 fof(f58,plain,(
% 0.10/0.79 ![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))),
% 0.10/0.79 inference(resolution,[status(thm)],[f39,f24])).
% 0.10/0.79 fof(f59,plain,(
% 0.10/0.79 ![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))),
% 0.10/0.79 inference(resolution,[status(thm)],[f39,f23])).
% 0.10/0.79 fof(f61,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f56,f25])).
% 0.10/0.79 fof(f62,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f56,f24])).
% 0.10/0.79 fof(f63,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f56,f23])).
% 0.10/0.79 fof(f77,definition,(
% 0.10/0.79 sQ4_spl <=> (product(e_4,e_3,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f78,plain,(
% 0.10/0.79 product(e_4,e_3,e_1)|~sQ4_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.79 fof(f80,definition,(
% 0.10/0.79 sQ5_spl <=> (product(e_4,e_3,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f81,plain,(
% 0.10/0.79 product(e_4,e_3,e_2)|~sQ5_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f80])).
% 0.10/0.79 fof(f83,definition,(
% 0.10/0.79 sQ6_spl <=> (product(e_4,e_3,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f84,plain,(
% 0.10/0.79 product(e_4,e_3,e_3)|~sQ6_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f83])).
% 0.10/0.79 fof(f86,definition,(
% 0.10/0.79 sQ7_spl <=> (product(e_4,e_3,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f87,plain,(
% 0.10/0.79 product(e_4,e_3,e_4)|~sQ7_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f86])).
% 0.10/0.79 fof(f89,plain,(
% 0.10/0.79 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f61,f77,f80,f83,f86])).
% 0.10/0.79 fof(f90,definition,(
% 0.10/0.79 sQ8_spl <=> (product(e_4,e_2,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f91,plain,(
% 0.10/0.79 product(e_4,e_2,e_1)|~sQ8_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f90])).
% 0.10/0.79 fof(f93,definition,(
% 0.10/0.79 sQ9_spl <=> (product(e_4,e_2,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f94,plain,(
% 0.10/0.79 product(e_4,e_2,e_2)|~sQ9_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.79 fof(f96,definition,(
% 0.10/0.79 sQ10_spl <=> (product(e_4,e_2,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f97,plain,(
% 0.10/0.79 product(e_4,e_2,e_3)|~sQ10_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f96])).
% 0.10/0.79 fof(f99,definition,(
% 0.10/0.79 sQ11_spl <=> (product(e_4,e_2,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f100,plain,(
% 0.10/0.79 product(e_4,e_2,e_4)|~sQ11_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f99])).
% 0.10/0.79 fof(f102,plain,(
% 0.10/0.79 sQ8_spl|sQ9_spl|sQ10_spl|sQ11_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f62,f90,f93,f96,f99])).
% 0.10/0.79 fof(f103,definition,(
% 0.10/0.79 sQ12_spl <=> (product(e_4,e_1,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f104,plain,(
% 0.10/0.79 product(e_4,e_1,e_1)|~sQ12_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f103])).
% 0.10/0.79 fof(f106,definition,(
% 0.10/0.79 sQ13_spl <=> (product(e_4,e_1,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f107,plain,(
% 0.10/0.79 product(e_4,e_1,e_2)|~sQ13_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f106])).
% 0.10/0.79 fof(f109,definition,(
% 0.10/0.79 sQ14_spl <=> (product(e_4,e_1,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f110,plain,(
% 0.10/0.79 product(e_4,e_1,e_3)|~sQ14_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f109])).
% 0.10/0.79 fof(f112,definition,(
% 0.10/0.79 sQ15_spl <=> (product(e_4,e_1,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f113,plain,(
% 0.10/0.79 product(e_4,e_1,e_4)|~sQ15_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f112])).
% 0.10/0.79 fof(f115,plain,(
% 0.10/0.79 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f63,f103,f106,f109,f112])).
% 0.10/0.79 fof(f116,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f57,f26])).
% 0.10/0.79 fof(f118,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f57,f24])).
% 0.10/0.79 fof(f119,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f57,f23])).
% 0.10/0.79 fof(f120,definition,(
% 0.10/0.79 sQ16_spl <=> (product(e_3,e_4,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f121,plain,(
% 0.10/0.79 product(e_3,e_4,e_1)|~sQ16_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f120])).
% 0.10/0.79 fof(f123,definition,(
% 0.10/0.79 sQ17_spl <=> (product(e_3,e_4,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f124,plain,(
% 0.10/0.79 product(e_3,e_4,e_2)|~sQ17_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f123])).
% 0.10/0.79 fof(f126,definition,(
% 0.10/0.79 sQ18_spl <=> (product(e_3,e_4,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f127,plain,(
% 0.10/0.79 product(e_3,e_4,e_3)|~sQ18_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f126])).
% 0.10/0.79 fof(f129,definition,(
% 0.10/0.79 sQ19_spl <=> (product(e_3,e_4,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f130,plain,(
% 0.10/0.79 product(e_3,e_4,e_4)|~sQ19_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f129])).
% 0.10/0.79 fof(f132,plain,(
% 0.10/0.79 sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f116,f120,f123,f126,f129])).
% 0.10/0.79 fof(f142,definition,(
% 0.10/0.79 sQ23_spl <=> (product(e_3,e_3,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f143,plain,(
% 0.10/0.79 product(e_3,e_3,e_4)|~sQ23_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f142])).
% 0.10/0.79 fof(f146,definition,(
% 0.10/0.79 sQ24_spl <=> (product(e_3,e_2,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f147,plain,(
% 0.10/0.79 product(e_3,e_2,e_1)|~sQ24_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f146])).
% 0.10/0.79 fof(f149,definition,(
% 0.10/0.79 sQ25_spl <=> (product(e_3,e_2,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f150,plain,(
% 0.10/0.79 product(e_3,e_2,e_2)|~sQ25_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f149])).
% 0.10/0.79 fof(f152,definition,(
% 0.10/0.79 sQ26_spl <=> (product(e_3,e_2,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f153,plain,(
% 0.10/0.79 product(e_3,e_2,e_3)|~sQ26_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f152])).
% 0.10/0.79 fof(f155,definition,(
% 0.10/0.79 sQ27_spl <=> (product(e_3,e_2,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f156,plain,(
% 0.10/0.79 product(e_3,e_2,e_4)|~sQ27_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f155])).
% 0.10/0.79 fof(f158,plain,(
% 0.10/0.79 sQ24_spl|sQ25_spl|sQ26_spl|sQ27_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f118,f146,f149,f152,f155])).
% 0.10/0.79 fof(f159,definition,(
% 0.10/0.79 sQ28_spl <=> (product(e_3,e_1,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f160,plain,(
% 0.10/0.79 product(e_3,e_1,e_1)|~sQ28_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f159])).
% 0.10/0.79 fof(f162,definition,(
% 0.10/0.79 sQ29_spl <=> (product(e_3,e_1,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f163,plain,(
% 0.10/0.79 product(e_3,e_1,e_2)|~sQ29_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f162])).
% 0.10/0.79 fof(f165,definition,(
% 0.10/0.79 sQ30_spl <=> (product(e_3,e_1,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f166,plain,(
% 0.10/0.79 product(e_3,e_1,e_3)|~sQ30_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f165])).
% 0.10/0.79 fof(f168,definition,(
% 0.10/0.79 sQ31_spl <=> (product(e_3,e_1,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f169,plain,(
% 0.10/0.79 product(e_3,e_1,e_4)|~sQ31_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f168])).
% 0.10/0.79 fof(f171,plain,(
% 0.10/0.79 sQ28_spl|sQ29_spl|sQ30_spl|sQ31_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f119,f159,f162,f165,f168])).
% 0.10/0.79 fof(f172,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f58,f26])).
% 0.10/0.79 fof(f173,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f58,f25])).
% 0.10/0.79 fof(f175,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f58,f23])).
% 0.10/0.79 fof(f176,definition,(
% 0.10/0.79 sQ32_spl <=> (product(e_2,e_4,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f177,plain,(
% 0.10/0.79 product(e_2,e_4,e_1)|~sQ32_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f176])).
% 0.10/0.79 fof(f179,definition,(
% 0.10/0.79 sQ33_spl <=> (product(e_2,e_4,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f180,plain,(
% 0.10/0.79 product(e_2,e_4,e_2)|~sQ33_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f179])).
% 0.10/0.79 fof(f182,definition,(
% 0.10/0.79 sQ34_spl <=> (product(e_2,e_4,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f183,plain,(
% 0.10/0.79 product(e_2,e_4,e_3)|~sQ34_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f182])).
% 0.10/0.79 fof(f185,definition,(
% 0.10/0.79 sQ35_spl <=> (product(e_2,e_4,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f186,plain,(
% 0.10/0.79 product(e_2,e_4,e_4)|~sQ35_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f185])).
% 0.10/0.79 fof(f188,plain,(
% 0.10/0.79 sQ32_spl|sQ33_spl|sQ34_spl|sQ35_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f172,f176,f179,f182,f185])).
% 0.10/0.79 fof(f189,definition,(
% 0.10/0.79 sQ36_spl <=> (product(e_2,e_3,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f190,plain,(
% 0.10/0.79 product(e_2,e_3,e_1)|~sQ36_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f189])).
% 0.10/0.79 fof(f192,definition,(
% 0.10/0.79 sQ37_spl <=> (product(e_2,e_3,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f193,plain,(
% 0.10/0.79 product(e_2,e_3,e_2)|~sQ37_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f192])).
% 0.10/0.79 fof(f195,definition,(
% 0.10/0.79 sQ38_spl <=> (product(e_2,e_3,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f196,plain,(
% 0.10/0.79 product(e_2,e_3,e_3)|~sQ38_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f195])).
% 0.10/0.79 fof(f198,definition,(
% 0.10/0.79 sQ39_spl <=> (product(e_2,e_3,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f199,plain,(
% 0.10/0.79 product(e_2,e_3,e_4)|~sQ39_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f198])).
% 0.10/0.79 fof(f201,plain,(
% 0.10/0.79 sQ36_spl|sQ37_spl|sQ38_spl|sQ39_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f173,f189,f192,f195,f198])).
% 0.10/0.79 fof(f208,definition,(
% 0.10/0.79 sQ42_spl <=> (product(e_2,e_2,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f209,plain,(
% 0.10/0.79 product(e_2,e_2,e_3)|~sQ42_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f208])).
% 0.10/0.79 fof(f211,definition,(
% 0.10/0.79 sQ43_spl <=> (product(e_2,e_2,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f212,plain,(
% 0.10/0.79 product(e_2,e_2,e_4)|~sQ43_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f211])).
% 0.10/0.79 fof(f215,definition,(
% 0.10/0.79 sQ44_spl <=> (product(e_2,e_1,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f216,plain,(
% 0.10/0.79 product(e_2,e_1,e_1)|~sQ44_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f215])).
% 0.10/0.79 fof(f218,definition,(
% 0.10/0.79 sQ45_spl <=> (product(e_2,e_1,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f219,plain,(
% 0.10/0.79 product(e_2,e_1,e_2)|~sQ45_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f218])).
% 0.10/0.79 fof(f221,definition,(
% 0.10/0.79 sQ46_spl <=> (product(e_2,e_1,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f222,plain,(
% 0.10/0.79 product(e_2,e_1,e_3)|~sQ46_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f221])).
% 0.10/0.79 fof(f224,definition,(
% 0.10/0.79 sQ47_spl <=> (product(e_2,e_1,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f225,plain,(
% 0.10/0.79 product(e_2,e_1,e_4)|~sQ47_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f224])).
% 0.10/0.79 fof(f227,plain,(
% 0.10/0.79 sQ44_spl|sQ45_spl|sQ46_spl|sQ47_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f175,f215,f218,f221,f224])).
% 0.10/0.79 fof(f230,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f59,f24])).
% 0.10/0.79 fof(f231,plain,(
% 0.10/0.79 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)),
% 0.10/0.79 inference(resolution,[status(thm)],[f59,f23])).
% 0.10/0.79 fof(f258,definition,(
% 0.10/0.79 sQ56_spl <=> (product(e_1,e_2,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f259,plain,(
% 0.10/0.79 product(e_1,e_2,e_1)|~sQ56_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f258])).
% 0.10/0.79 fof(f261,definition,(
% 0.10/0.79 sQ57_spl <=> (product(e_1,e_2,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f262,plain,(
% 0.10/0.79 product(e_1,e_2,e_2)|~sQ57_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f261])).
% 0.10/0.79 fof(f264,definition,(
% 0.10/0.79 sQ58_spl <=> (product(e_1,e_2,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f265,plain,(
% 0.10/0.79 product(e_1,e_2,e_3)|~sQ58_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f264])).
% 0.10/0.79 fof(f267,definition,(
% 0.10/0.79 sQ59_spl <=> (product(e_1,e_2,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f268,plain,(
% 0.10/0.79 product(e_1,e_2,e_4)|~sQ59_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f267])).
% 0.10/0.79 fof(f270,plain,(
% 0.10/0.79 sQ56_spl|sQ57_spl|sQ58_spl|sQ59_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f230,f258,f261,f264,f267])).
% 0.10/0.79 fof(f271,definition,(
% 0.10/0.79 sQ60_spl <=> (product(e_1,e_1,e_1))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f274,definition,(
% 0.10/0.79 sQ61_spl <=> (product(e_1,e_1,e_2))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f275,plain,(
% 0.10/0.79 product(e_1,e_1,e_2)|~sQ61_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f274])).
% 0.10/0.79 fof(f277,definition,(
% 0.10/0.79 sQ62_spl <=> (product(e_1,e_1,e_3))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f278,plain,(
% 0.10/0.79 product(e_1,e_1,e_3)|~sQ62_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f277])).
% 0.10/0.79 fof(f280,definition,(
% 0.10/0.79 sQ63_spl <=> (product(e_1,e_1,e_4))),
% 0.10/0.79 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.10/0.79 fof(f281,plain,(
% 0.10/0.79 product(e_1,e_1,e_4)|~sQ63_spl),
% 0.10/0.79 inference(component_clause,[status(thm)],[f280])).
% 0.10/0.79 fof(f283,plain,(
% 0.10/0.79 sQ60_spl|sQ61_spl|sQ62_spl|sQ63_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f231,f271,f274,f277,f280])).
% 0.10/0.79 fof(f285,plain,(
% 0.10/0.79 equalish(e_1,e_4)|~sQ15_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f113,f53])).
% 0.10/0.79 fof(f291,plain,(
% 0.10/0.79 $false|~sQ15_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f285,f29])).
% 0.10/0.79 fof(f292,plain,(
% 0.10/0.79 ~sQ15_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f291])).
% 0.10/0.79 fof(f293,plain,(
% 0.10/0.79 ![X0]: (~product(X0,e_1,e_3)|equalish(X0,e_4)|~sQ14_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f110,f45])).
% 0.10/0.79 fof(f295,plain,(
% 0.10/0.79 ![X0]: (~product(e_4,e_1,X0)|equalish(X0,e_3)|~sQ14_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f110,f41])).
% 0.10/0.79 fof(f296,plain,(
% 0.10/0.79 ![X0]: (~product(e_1,X0,e_4)|product(e_3,e_1,X0)|~sQ14_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f110,f48])).
% 0.10/0.79 fof(f300,plain,(
% 0.10/0.79 equalish(e_2,e_3)|~sQ13_spl|~sQ14_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f107,f295])).
% 0.10/0.79 fof(f301,plain,(
% 0.10/0.79 ![X0]: (~product(X0,e_1,e_2)|equalish(X0,e_4)|~sQ13_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f107,f45])).
% 0.10/0.79 fof(f302,plain,(
% 0.10/0.79 ![X0]: (~product(e_4,X0,e_2)|equalish(X0,e_1)|~sQ13_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f107,f43])).
% 0.10/0.79 fof(f305,plain,(
% 0.10/0.79 $false|~sQ13_spl|~sQ14_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f300,f31])).
% 0.10/0.79 fof(f306,plain,(
% 0.10/0.79 ~sQ13_spl|~sQ14_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f305])).
% 0.10/0.79 fof(f307,plain,(
% 0.10/0.79 equalish(e_4,e_1)|~sQ12_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f104,f54])).
% 0.10/0.79 fof(f312,plain,(
% 0.10/0.79 $false|~sQ12_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f307,f36])).
% 0.10/0.79 fof(f313,plain,(
% 0.10/0.79 ~sQ12_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f312])).
% 0.10/0.79 fof(f314,plain,(
% 0.10/0.79 equalish(e_2,e_4)|~sQ11_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f100,f53])).
% 0.10/0.79 fof(f320,plain,(
% 0.10/0.79 $false|~sQ11_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f314,f32])).
% 0.10/0.79 fof(f321,plain,(
% 0.10/0.79 ~sQ11_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f320])).
% 0.10/0.79 fof(f325,plain,(
% 0.10/0.79 ![X0]: (~product(e_2,X0,e_4)|product(e_3,e_2,X0)|~sQ10_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f97,f48])).
% 0.10/0.79 fof(f331,plain,(
% 0.10/0.79 equalish(e_4,e_2)|~sQ9_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f94,f54])).
% 0.10/0.79 fof(f339,plain,(
% 0.10/0.79 ![X0]: (~product(e_4,X0,e_1)|equalish(X0,e_2)|~sQ8_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f91,f43])).
% 0.10/0.79 fof(f345,plain,(
% 0.10/0.79 equalish(e_3,e_4)|~sQ7_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f87,f53])).
% 0.10/0.79 fof(f351,plain,(
% 0.10/0.79 $false|~sQ7_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f345,f35])).
% 0.10/0.79 fof(f352,plain,(
% 0.10/0.79 ~sQ7_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f351])).
% 0.10/0.79 fof(f353,plain,(
% 0.10/0.79 equalish(e_4,e_3)|~sQ6_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f84,f54])).
% 0.10/0.79 fof(f358,plain,(
% 0.10/0.79 $false|~sQ6_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f353,f38])).
% 0.10/0.79 fof(f359,plain,(
% 0.10/0.79 ~sQ6_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f358])).
% 0.10/0.79 fof(f360,plain,(
% 0.10/0.79 equalish(e_3,e_1)|~sQ5_spl|~sQ13_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f81,f302])).
% 0.10/0.79 fof(f361,plain,(
% 0.10/0.79 ![X0]: (~product(X0,e_3,e_2)|equalish(X0,e_4)|~sQ5_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f81,f45])).
% 0.10/0.79 fof(f365,plain,(
% 0.10/0.79 $false|~sQ5_spl|~sQ13_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f360,f33])).
% 0.10/0.79 fof(f366,plain,(
% 0.10/0.79 ~sQ5_spl|~sQ13_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f365])).
% 0.10/0.79 fof(f367,plain,(
% 0.10/0.79 equalish(e_3,e_2)|~sQ4_spl|~sQ8_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f78,f339])).
% 0.10/0.79 fof(f368,plain,(
% 0.10/0.79 ![X0]: (~product(X0,e_3,e_1)|equalish(X0,e_4)|~sQ4_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f78,f45])).
% 0.10/0.79 fof(f371,plain,(
% 0.10/0.79 ![X0]: (~product(e_3,X0,e_4)|product(e_1,e_3,X0)|~sQ4_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f78,f48])).
% 0.10/0.79 fof(f372,plain,(
% 0.10/0.79 $false|~sQ4_spl|~sQ8_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f367,f34])).
% 0.10/0.79 fof(f373,plain,(
% 0.10/0.79 ~sQ4_spl|~sQ8_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f372])).
% 0.10/0.79 fof(f379,plain,(
% 0.10/0.79 product(e_1,e_3,e_1)|~sQ31_spl|~sQ4_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f169,f371])).
% 0.10/0.79 fof(f383,plain,(
% 0.10/0.79 ![X0]: (~product(e_1,X0,e_3)|product(e_4,e_1,X0)|~sQ31_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f169,f48])).
% 0.10/0.79 fof(f384,plain,(
% 0.10/0.79 equalish(e_1,e_4)|~sQ31_spl|~sQ4_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f379,f368])).
% 0.10/0.79 fof(f391,plain,(
% 0.10/0.79 $false|~sQ31_spl|~sQ4_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f384,f29])).
% 0.10/0.79 fof(f392,plain,(
% 0.10/0.79 ~sQ31_spl|~sQ4_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f391])).
% 0.10/0.79 fof(f393,plain,(
% 0.10/0.79 equalish(e_1,e_3)|~sQ30_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f166,f53])).
% 0.10/0.79 fof(f399,plain,(
% 0.10/0.79 $false|~sQ30_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f393,f28])).
% 0.10/0.79 fof(f400,plain,(
% 0.10/0.79 ~sQ30_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f399])).
% 0.10/0.79 fof(f401,plain,(
% 0.10/0.79 equalish(e_3,e_4)|~sQ29_spl|~sQ13_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f163,f301])).
% 0.10/0.79 fof(f403,plain,(
% 0.10/0.79 ![X0]: (~product(e_3,X0,e_2)|equalish(X0,e_1)|~sQ29_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f163,f43])).
% 0.10/0.79 fof(f406,plain,(
% 0.10/0.79 $false|~sQ29_spl|~sQ13_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f401,f35])).
% 0.10/0.79 fof(f407,plain,(
% 0.10/0.79 ~sQ29_spl|~sQ13_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f406])).
% 0.10/0.79 fof(f408,plain,(
% 0.10/0.79 equalish(e_3,e_1)|~sQ28_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f160,f54])).
% 0.10/0.79 fof(f413,plain,(
% 0.10/0.79 $false|~sQ28_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f408,f33])).
% 0.10/0.79 fof(f414,plain,(
% 0.10/0.79 ~sQ28_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f413])).
% 0.10/0.79 fof(f415,plain,(
% 0.10/0.79 $false|~sQ9_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f331,f37])).
% 0.10/0.79 fof(f416,plain,(
% 0.10/0.79 ~sQ9_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f415])).
% 0.10/0.79 fof(f421,plain,(
% 0.10/0.79 ![X0]: (~product(e_2,X0,e_3)|product(e_4,e_2,X0)|~sQ27_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f156,f48])).
% 0.10/0.79 fof(f434,plain,(
% 0.10/0.79 equalish(e_2,e_3)|~sQ26_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f153,f53])).
% 0.10/0.79 fof(f442,plain,(
% 0.10/0.79 equalish(e_2,e_1)|~sQ25_spl|~sQ29_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f150,f403])).
% 0.10/0.79 fof(f448,plain,(
% 0.10/0.79 $false|~sQ25_spl|~sQ29_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f442,f30])).
% 0.10/0.79 fof(f449,plain,(
% 0.10/0.79 ~sQ25_spl|~sQ29_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f448])).
% 0.10/0.79 fof(f451,plain,(
% 0.10/0.79 ![X0]: (~product(e_3,X0,e_1)|equalish(X0,e_2)|~sQ24_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f147,f43])).
% 0.10/0.79 fof(f459,plain,(
% 0.10/0.79 equalish(e_4,e_3)|~sQ23_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f143,f51])).
% 0.10/0.79 fof(f462,plain,(
% 0.10/0.79 $false|~sQ23_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f459,f38])).
% 0.10/0.79 fof(f463,plain,(
% 0.10/0.79 ~sQ23_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f462])).
% 0.10/0.79 fof(f482,plain,(
% 0.10/0.79 equalish(e_3,e_4)|~sQ19_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f130,f54])).
% 0.10/0.79 fof(f487,plain,(
% 0.10/0.79 $false|~sQ19_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f482,f35])).
% 0.10/0.79 fof(f488,plain,(
% 0.10/0.79 ~sQ19_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f487])).
% 0.10/0.79 fof(f489,plain,(
% 0.10/0.79 equalish(e_4,e_3)|~sQ18_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f127,f53])).
% 0.10/0.79 fof(f495,plain,(
% 0.10/0.79 $false|~sQ18_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f489,f38])).
% 0.10/0.79 fof(f496,plain,(
% 0.10/0.79 ~sQ18_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f495])).
% 0.10/0.79 fof(f497,plain,(
% 0.10/0.79 equalish(e_4,e_1)|~sQ17_spl|~sQ29_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f124,f403])).
% 0.10/0.79 fof(f502,plain,(
% 0.10/0.79 $false|~sQ17_spl|~sQ29_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f497,f36])).
% 0.10/0.79 fof(f503,plain,(
% 0.10/0.79 ~sQ17_spl|~sQ29_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f502])).
% 0.10/0.79 fof(f504,plain,(
% 0.10/0.79 equalish(e_4,e_2)|~sQ16_spl|~sQ24_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f121,f451])).
% 0.10/0.79 fof(f509,plain,(
% 0.10/0.79 $false|~sQ16_spl|~sQ24_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f504,f37])).
% 0.10/0.79 fof(f510,plain,(
% 0.10/0.79 ~sQ16_spl|~sQ24_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f509])).
% 0.10/0.79 fof(f513,plain,(
% 0.10/0.79 product(e_3,e_2,e_1)|~sQ47_spl|~sQ10_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f225,f325])).
% 0.10/0.79 fof(f514,plain,(
% 0.10/0.79 ![X0]: (~product(X0,e_1,e_4)|equalish(X0,e_2)|~sQ47_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f225,f45])).
% 0.10/0.79 fof(f515,plain,(
% 0.10/0.79 ![X0]: (~product(e_2,X0,e_4)|equalish(X0,e_1)|~sQ47_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f225,f43])).
% 0.10/0.79 fof(f518,plain,(
% 0.10/0.79 sQ24_spl|~sQ47_spl|~sQ10_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f513,f146,f224,f96])).
% 0.10/0.79 fof(f519,plain,(
% 0.10/0.79 equalish(e_2,e_4)|~sQ46_spl|~sQ14_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f222,f293])).
% 0.10/0.79 fof(f524,plain,(
% 0.10/0.79 $false|~sQ46_spl|~sQ14_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f519,f32])).
% 0.10/0.79 fof(f525,plain,(
% 0.10/0.79 ~sQ46_spl|~sQ14_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f524])).
% 0.10/0.79 fof(f540,plain,(
% 0.10/0.79 equalish(e_1,e_2)|~sQ45_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f219,f53])).
% 0.10/0.79 fof(f546,plain,(
% 0.10/0.79 $false|~sQ45_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f540,f27])).
% 0.10/0.79 fof(f547,plain,(
% 0.10/0.79 ~sQ45_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f546])).
% 0.10/0.79 fof(f548,plain,(
% 0.10/0.79 equalish(e_2,e_1)|~sQ44_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f216,f54])).
% 0.10/0.79 fof(f553,plain,(
% 0.10/0.79 $false|~sQ44_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f548,f30])).
% 0.10/0.79 fof(f554,plain,(
% 0.10/0.79 ~sQ44_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f553])).
% 0.10/0.79 fof(f555,plain,(
% 0.10/0.79 $false|~sQ26_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f434,f31])).
% 0.10/0.79 fof(f556,plain,(
% 0.10/0.79 ~sQ26_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f555])).
% 0.10/0.79 fof(f557,plain,(
% 0.10/0.79 equalish(e_2,e_1)|~sQ43_spl|~sQ47_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f212,f515])).
% 0.10/0.79 fof(f565,plain,(
% 0.10/0.79 $false|~sQ43_spl|~sQ47_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f557,f30])).
% 0.10/0.79 fof(f566,plain,(
% 0.10/0.79 ~sQ43_spl|~sQ47_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f565])).
% 0.10/0.79 fof(f570,plain,(
% 0.10/0.79 equalish(e_3,e_2)|~sQ42_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f209,f51])).
% 0.10/0.79 fof(f574,plain,(
% 0.10/0.79 $false|~sQ42_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f570,f34])).
% 0.10/0.79 fof(f575,plain,(
% 0.10/0.79 ~sQ42_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f574])).
% 0.10/0.79 fof(f584,plain,(
% 0.10/0.79 equalish(e_3,e_1)|~sQ39_spl|~sQ47_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f199,f515])).
% 0.10/0.79 fof(f590,plain,(
% 0.10/0.79 $false|~sQ39_spl|~sQ47_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f584,f33])).
% 0.10/0.79 fof(f591,plain,(
% 0.10/0.79 ~sQ39_spl|~sQ47_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f590])).
% 0.10/0.79 fof(f593,plain,(
% 0.10/0.79 equalish(e_2,e_3)|~sQ38_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f196,f54])).
% 0.10/0.79 fof(f599,plain,(
% 0.10/0.79 $false|~sQ38_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f593,f31])).
% 0.10/0.79 fof(f600,plain,(
% 0.10/0.79 ~sQ38_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f599])).
% 0.10/0.79 fof(f601,plain,(
% 0.10/0.79 equalish(e_2,e_4)|~sQ37_spl|~sQ5_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f193,f361])).
% 0.10/0.79 fof(f608,plain,(
% 0.10/0.79 $false|~sQ37_spl|~sQ5_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f601,f32])).
% 0.10/0.79 fof(f609,plain,(
% 0.10/0.79 ~sQ37_spl|~sQ5_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f608])).
% 0.10/0.79 fof(f611,plain,(
% 0.10/0.79 ![X0]: (~product(e_2,X0,e_1)|equalish(X0,e_3)|~sQ36_spl)),
% 0.10/0.79 inference(resolution,[status(thm)],[f190,f43])).
% 0.10/0.79 fof(f617,plain,(
% 0.10/0.79 equalish(e_4,e_1)|~sQ35_spl|~sQ47_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f186,f515])).
% 0.10/0.79 fof(f624,plain,(
% 0.10/0.79 $false|~sQ35_spl|~sQ47_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f617,f36])).
% 0.10/0.79 fof(f625,plain,(
% 0.10/0.79 ~sQ35_spl|~sQ47_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f624])).
% 0.10/0.79 fof(f626,plain,(
% 0.10/0.79 product(e_4,e_2,e_4)|~sQ34_spl|~sQ27_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f183,f421])).
% 0.10/0.79 fof(f631,plain,(
% 0.10/0.79 sQ11_spl|~sQ34_spl|~sQ27_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f626,f99,f182,f155])).
% 0.10/0.79 fof(f632,plain,(
% 0.10/0.79 equalish(e_4,e_2)|~sQ33_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f180,f53])).
% 0.10/0.79 fof(f638,plain,(
% 0.10/0.79 $false|~sQ33_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f632,f37])).
% 0.10/0.79 fof(f639,plain,(
% 0.10/0.79 ~sQ33_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f638])).
% 0.10/0.79 fof(f640,plain,(
% 0.10/0.79 equalish(e_4,e_3)|~sQ32_spl|~sQ36_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f177,f611])).
% 0.10/0.79 fof(f646,plain,(
% 0.10/0.79 $false|~sQ32_spl|~sQ36_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f640,f38])).
% 0.10/0.79 fof(f647,plain,(
% 0.10/0.79 ~sQ32_spl|~sQ36_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f646])).
% 0.10/0.79 fof(f649,plain,(
% 0.10/0.79 equalish(e_1,e_2)|~sQ63_spl|~sQ47_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f281,f514])).
% 0.10/0.79 fof(f656,plain,(
% 0.10/0.79 $false|~sQ63_spl|~sQ47_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f649,f27])).
% 0.10/0.79 fof(f657,plain,(
% 0.10/0.79 ~sQ63_spl|~sQ47_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f656])).
% 0.10/0.79 fof(f659,plain,(
% 0.10/0.79 equalish(e_1,e_4)|~sQ62_spl|~sQ14_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f278,f293])).
% 0.10/0.79 fof(f666,plain,(
% 0.10/0.79 $false|~sQ62_spl|~sQ14_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f659,f29])).
% 0.10/0.79 fof(f667,plain,(
% 0.10/0.79 ~sQ62_spl|~sQ14_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f666])).
% 0.10/0.79 fof(f671,plain,(
% 0.10/0.79 equalish(e_2,e_1)|~sQ61_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f275,f51])).
% 0.10/0.79 fof(f675,plain,(
% 0.10/0.79 $false|~sQ61_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f671,f30])).
% 0.10/0.79 fof(f676,plain,(
% 0.10/0.79 ~sQ61_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f675])).
% 0.10/0.79 fof(f677,plain,(
% 0.10/0.79 product(e_3,e_1,e_2)|~sQ59_spl|~sQ14_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f268,f296])).
% 0.10/0.79 fof(f682,plain,(
% 0.10/0.79 sQ29_spl|~sQ59_spl|~sQ14_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f677,f162,f267,f109])).
% 0.10/0.79 fof(f683,plain,(
% 0.10/0.79 product(e_4,e_1,e_2)|~sQ58_spl|~sQ31_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f265,f383])).
% 0.10/0.79 fof(f689,plain,(
% 0.10/0.79 sQ13_spl|~sQ58_spl|~sQ31_spl),
% 0.10/0.79 inference(split_clause,[status(thm)],[f683,f106,f264,f168])).
% 0.10/0.79 fof(f693,plain,(
% 0.10/0.79 equalish(e_1,e_2)|~sQ57_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f262,f54])).
% 0.10/0.79 fof(f699,plain,(
% 0.10/0.79 $false|~sQ57_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f693,f27])).
% 0.10/0.79 fof(f700,plain,(
% 0.10/0.79 ~sQ57_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f699])).
% 0.10/0.79 fof(f702,plain,(
% 0.10/0.79 equalish(e_2,e_1)|~sQ56_spl),
% 0.10/0.79 inference(resolution,[status(thm)],[f259,f53])).
% 0.10/0.79 fof(f710,plain,(
% 0.10/0.79 $false|~sQ56_spl),
% 0.10/0.79 inference(forward_subsumption_resolution,[status(thm)],[f702,f30])).
% 0.10/0.79 fof(f711,plain,(
% 0.10/0.79 ~sQ56_spl),
% 0.10/0.79 inference(contradiction_clause,[status(thm)],[f710])).
% 0.10/0.79 fof(f712,plain,(
% 0.10/0.79 $false),
% 0.10/0.79 inference(sat_refutation,[status(thm)],[f89,f102,f115,f132,f158,f171,f188,f201,f227,f270,f283,f292,f306,f313,f321,f352,f359,f366,f373,f392,f400,f407,f414,f416,f449,f463,f488,f496,f503,f510,f518,f525,f547,f554,f556,f566,f575,f591,f600,f609,f625,f631,f639,f647,f657,f667,f676,f682,f689,f700,f711])).
% 0.10/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.81 % Elapsed time: 0.051691 seconds
% 0.13/0.81 % CPU time: 0.173249 seconds
% 0.13/0.81 % Total memory used: 17.955 MB
% 0.13/0.81 % Net memory used: 17.602 MB
%------------------------------------------------------------------------------