%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP134-2.003 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:03 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP134-2.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:01:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 next(e_1,e_2) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 greater(e_3,e_2) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,axiom,(
% 0.12/0.39 (![X,Y,X1]: (( ~ product(X,e_1,Y)| ~ next(X,X1)| ~ greater(Y,X1) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,axiom,(
% 0.12/0.39 group_element(e_1) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,axiom,(
% 0.12/0.39 group_element(e_2) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,axiom,(
% 0.12/0.39 group_element(e_3) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f10,axiom,(
% 0.12/0.39 ~ equalish(e_1,e_2) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,axiom,(
% 0.12/0.39 ~ equalish(e_1,e_3) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,axiom,(
% 0.12/0.39 ~ equalish(e_2,e_1) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,axiom,(
% 0.12/0.39 ~ equalish(e_2,e_3) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,axiom,(
% 0.12/0.39 ~ equalish(e_3,e_1) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,axiom,(
% 0.12/0.39 ~ equalish(e_3,e_2) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,axiom,(
% 0.12/0.39 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,axiom,(
% 0.12/0.39 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f18,axiom,(
% 0.12/0.39 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,axiom,(
% 0.12/0.39 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,negated_conjecture,(
% 0.12/0.39 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(Y,X,Z2)| product(Z1,Z2,Y) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,plain,(
% 0.12/0.39 next(e_1,e_2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f25,plain,(
% 0.12/0.39 greater(e_3,e_2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f26,plain,(
% 0.12/0.39 ![Y,X1]: ((![X]: (~product(X,e_1,Y)|~next(X,X1)))|~greater(Y,X1))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.39 fof(f27,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~product(X0,e_1,X1)|~next(X0,X2)|~greater(X1,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f28,plain,(
% 0.12/0.39 group_element(e_1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f29,plain,(
% 0.12/0.39 group_element(e_2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f30,plain,(
% 0.12/0.39 group_element(e_3)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f31,plain,(
% 0.12/0.39 ~equalish(e_1,e_2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f32,plain,(
% 0.12/0.39 ~equalish(e_1,e_3)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.39 fof(f33,plain,(
% 0.12/0.39 ~equalish(e_2,e_1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 ~equalish(e_2,e_3)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 ~equalish(e_3,e_1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f36,plain,(
% 0.12/0.39 ~equalish(e_3,e_2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f17])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f18])).
% 0.12/0.40 fof(f41,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.40 fof(f42,plain,(
% 0.12/0.40 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f19])).
% 0.12/0.40 fof(f43,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.40 fof(f44,plain,(
% 0.12/0.40 ![Y,Z1,Z2]: ((![X]: (~product(X,Y,Z1)|~product(Y,X,Z2)))|product(Z1,Z2,Y))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f20])).
% 0.12/0.40 fof(f45,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X0,X3)|product(X2,X3,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f44])).
% 0.12/0.40 fof(f46,plain,(
% 0.12/0.40 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3))),
% 0.12/0.40 inference(resolution,[status(thm)],[f37,f30])).
% 0.12/0.40 fof(f47,plain,(
% 0.12/0.40 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3))),
% 0.12/0.40 inference(resolution,[status(thm)],[f37,f29])).
% 0.12/0.40 fof(f48,plain,(
% 0.12/0.40 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3))),
% 0.12/0.40 inference(resolution,[status(thm)],[f37,f28])).
% 0.12/0.40 fof(f49,plain,(
% 0.12/0.40 product(e_3,e_3,e_1)|product(e_3,e_3,e_2)|product(e_3,e_3,e_3)),
% 0.12/0.40 inference(resolution,[status(thm)],[f46,f30])).
% 0.12/0.40 fof(f51,plain,(
% 0.12/0.40 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),
% 0.12/0.40 inference(resolution,[status(thm)],[f46,f28])).
% 0.12/0.40 fof(f52,definition,(
% 0.12/0.40 sQ0_spl <=> (product(e_3,e_3,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f53,plain,(
% 0.12/0.40 product(e_3,e_3,e_1)|~sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.12/0.40 fof(f55,definition,(
% 0.12/0.40 sQ1_spl <=> (product(e_3,e_3,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f56,plain,(
% 0.12/0.40 product(e_3,e_3,e_2)|~sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.12/0.40 fof(f58,definition,(
% 0.12/0.40 sQ2_spl <=> (product(e_3,e_3,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 product(e_3,e_3,e_3)|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f58])).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f49,f52,f55,f58])).
% 0.12/0.40 fof(f62,definition,(
% 0.12/0.40 sQ3_spl <=> (product(e_3,e_2,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f63,plain,(
% 0.12/0.40 product(e_3,e_2,e_1)|~sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f62])).
% 0.12/0.40 fof(f68,definition,(
% 0.12/0.40 sQ5_spl <=> (product(e_3,e_2,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f69,plain,(
% 0.12/0.40 product(e_3,e_2,e_3)|~sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f68])).
% 0.12/0.40 fof(f72,definition,(
% 0.12/0.40 sQ6_spl <=> (product(e_3,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f73,plain,(
% 0.12/0.40 product(e_3,e_1,e_1)|~sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f72])).
% 0.12/0.40 fof(f75,definition,(
% 0.12/0.40 sQ7_spl <=> (product(e_3,e_1,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f76,plain,(
% 0.12/0.40 product(e_3,e_1,e_2)|~sQ7_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f75])).
% 0.12/0.40 fof(f78,definition,(
% 0.12/0.40 sQ8_spl <=> (product(e_3,e_1,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f79,plain,(
% 0.12/0.40 product(e_3,e_1,e_3)|~sQ8_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f78])).
% 0.12/0.40 fof(f81,plain,(
% 0.12/0.40 sQ6_spl|sQ7_spl|sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f51,f72,f75,f78])).
% 0.12/0.40 fof(f83,plain,(
% 0.12/0.40 product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3)),
% 0.12/0.40 inference(resolution,[status(thm)],[f47,f29])).
% 0.12/0.40 fof(f84,plain,(
% 0.12/0.40 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),
% 0.12/0.40 inference(resolution,[status(thm)],[f47,f28])).
% 0.12/0.40 fof(f85,definition,(
% 0.12/0.40 sQ9_spl <=> (product(e_2,e_3,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f86,plain,(
% 0.12/0.40 product(e_2,e_3,e_1)|~sQ9_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.40 fof(f87,plain,(
% 0.12/0.40 ~product(e_2,e_3,e_1)|sQ9_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.40 fof(f91,definition,(
% 0.12/0.40 sQ11_spl <=> (product(e_2,e_3,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f95,definition,(
% 0.12/0.40 sQ12_spl <=> (product(e_2,e_2,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f96,plain,(
% 0.12/0.40 product(e_2,e_2,e_1)|~sQ12_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f95])).
% 0.12/0.40 fof(f98,definition,(
% 0.12/0.40 sQ13_spl <=> (product(e_2,e_2,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f99,plain,(
% 0.12/0.40 product(e_2,e_2,e_2)|~sQ13_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f98])).
% 0.12/0.40 fof(f101,definition,(
% 0.12/0.40 sQ14_spl <=> (product(e_2,e_2,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f102,plain,(
% 0.12/0.40 product(e_2,e_2,e_3)|~sQ14_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.40 fof(f104,plain,(
% 0.12/0.40 sQ12_spl|sQ13_spl|sQ14_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f83,f95,f98,f101])).
% 0.12/0.40 fof(f105,definition,(
% 0.12/0.40 sQ15_spl <=> (product(e_2,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f106,plain,(
% 0.12/0.40 product(e_2,e_1,e_1)|~sQ15_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.12/0.40 fof(f108,definition,(
% 0.12/0.40 sQ16_spl <=> (product(e_2,e_1,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f109,plain,(
% 0.12/0.40 product(e_2,e_1,e_2)|~sQ16_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f108])).
% 0.12/0.40 fof(f111,definition,(
% 0.12/0.40 sQ17_spl <=> (product(e_2,e_1,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f112,plain,(
% 0.12/0.40 product(e_2,e_1,e_3)|~sQ17_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f111])).
% 0.12/0.40 fof(f114,plain,(
% 0.12/0.40 sQ15_spl|sQ16_spl|sQ17_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f84,f105,f108,f111])).
% 0.12/0.40 fof(f115,plain,(
% 0.12/0.40 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)),
% 0.12/0.40 inference(resolution,[status(thm)],[f48,f30])).
% 0.12/0.40 fof(f116,plain,(
% 0.12/0.40 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),
% 0.12/0.40 inference(resolution,[status(thm)],[f48,f29])).
% 0.12/0.40 fof(f117,plain,(
% 0.12/0.40 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.12/0.40 inference(resolution,[status(thm)],[f48,f28])).
% 0.12/0.40 fof(f118,definition,(
% 0.12/0.40 sQ18_spl <=> (product(e_1,e_3,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f119,plain,(
% 0.12/0.40 product(e_1,e_3,e_1)|~sQ18_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f118])).
% 0.12/0.40 fof(f121,definition,(
% 0.12/0.40 sQ19_spl <=> (product(e_1,e_3,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 product(e_1,e_3,e_2)|~sQ19_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.12/0.40 fof(f124,definition,(
% 0.12/0.40 sQ20_spl <=> (product(e_1,e_3,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f125,plain,(
% 0.12/0.40 product(e_1,e_3,e_3)|~sQ20_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.12/0.40 fof(f127,plain,(
% 0.12/0.40 sQ18_spl|sQ19_spl|sQ20_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f115,f118,f121,f124])).
% 0.12/0.40 fof(f128,definition,(
% 0.12/0.40 sQ21_spl <=> (product(e_1,e_2,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f129,plain,(
% 0.12/0.40 product(e_1,e_2,e_1)|~sQ21_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f128])).
% 0.12/0.40 fof(f131,definition,(
% 0.12/0.40 sQ22_spl <=> (product(e_1,e_2,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f132,plain,(
% 0.12/0.40 product(e_1,e_2,e_2)|~sQ22_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f131])).
% 0.12/0.40 fof(f134,definition,(
% 0.12/0.40 sQ23_spl <=> (product(e_1,e_2,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f135,plain,(
% 0.12/0.40 product(e_1,e_2,e_3)|~sQ23_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f134])).
% 0.12/0.40 fof(f137,plain,(
% 0.12/0.40 sQ21_spl|sQ22_spl|sQ23_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f116,f128,f131,f134])).
% 0.12/0.40 fof(f138,definition,(
% 0.12/0.40 sQ24_spl <=> (product(e_1,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f139,plain,(
% 0.12/0.40 product(e_1,e_1,e_1)|~sQ24_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f138])).
% 0.12/0.40 fof(f141,definition,(
% 0.12/0.40 sQ25_spl <=> (product(e_1,e_1,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f142,plain,(
% 0.12/0.40 product(e_1,e_1,e_2)|~sQ25_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f141])).
% 0.12/0.40 fof(f144,definition,(
% 0.12/0.40 sQ26_spl <=> (product(e_1,e_1,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f145,plain,(
% 0.12/0.40 product(e_1,e_1,e_3)|~sQ26_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f144])).
% 0.12/0.40 fof(f147,plain,(
% 0.12/0.40 sQ24_spl|sQ25_spl|sQ26_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f117,f138,f141,f144])).
% 0.12/0.40 fof(f152,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_3,X0)|product(e_3,X0,e_1)|~sQ8_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f79,f45])).
% 0.12/0.40 fof(f157,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_3,X0)|product(e_2,X0,e_1)|~sQ7_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f76,f45])).
% 0.12/0.40 fof(f162,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_3,X0)|product(e_1,X0,e_1)|~sQ6_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f73,f45])).
% 0.12/0.40 fof(f166,plain,(
% 0.12/0.40 ![X0]: (~product(e_2,e_3,X0)|product(e_3,X0,e_2)|~sQ5_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f69,f45])).
% 0.12/0.40 fof(f174,plain,(
% 0.12/0.40 ![X0]: (~product(e_2,e_3,X0)|product(e_1,X0,e_2)|~sQ3_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f63,f45])).
% 0.12/0.40 fof(f184,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_2,X0)|product(e_3,X0,e_1)|~sQ17_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f112,f45])).
% 0.12/0.40 fof(f189,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_2,X0)|product(e_2,X0,e_1)|~sQ16_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f109,f45])).
% 0.12/0.40 fof(f194,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_2,X0)|product(e_1,X0,e_1)|~sQ15_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f106,f45])).
% 0.12/0.40 fof(f198,plain,(
% 0.12/0.40 ![X0]: (~product(e_2,e_2,X0)|product(e_3,X0,e_2)|~sQ14_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f102,f45])).
% 0.12/0.40 fof(f199,plain,(
% 0.12/0.40 product(e_3,e_3,e_2)|~sQ14_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f198,f102])).
% 0.12/0.40 fof(f202,plain,(
% 0.12/0.40 ![X0]: (~product(e_3,X0,e_2)|equalish(e_3,X0)|~sQ14_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f199,f41])).
% 0.12/0.40 fof(f208,plain,(
% 0.12/0.40 equalish(e_3,e_1)|~sQ14_spl|~sQ7_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f202,f76])).
% 0.12/0.40 fof(f220,plain,(
% 0.12/0.40 ![X0]: (~product(e_2,e_2,X0)|product(e_1,X0,e_2)|~sQ12_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f96,f45])).
% 0.12/0.40 fof(f221,plain,(
% 0.12/0.40 product(e_1,e_1,e_2)|~sQ12_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f220,f96])).
% 0.12/0.40 fof(f224,plain,(
% 0.12/0.40 ![X0]: (~product(X0,e_1,e_2)|equalish(e_1,X0)|~sQ12_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f221,f43])).
% 0.12/0.40 fof(f226,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_1,X0)|equalish(e_2,X0)|~sQ12_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f221,f39])).
% 0.12/0.40 fof(f227,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_1,X0)|product(e_2,X0,e_1)|~sQ12_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f221,f45])).
% 0.12/0.40 fof(f249,plain,(
% 0.12/0.40 equalish(e_1,e_2)|~sQ12_spl|~sQ16_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f224,f109])).
% 0.12/0.40 fof(f250,plain,(
% 0.12/0.40 equalish(e_1,e_3)|~sQ12_spl|~sQ7_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f224,f76])).
% 0.12/0.40 fof(f251,plain,(
% 0.12/0.40 $false|~sQ12_spl|~sQ16_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f249,f31])).
% 0.12/0.40 fof(f252,plain,(
% 0.12/0.40 ~sQ12_spl|~sQ16_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f251])).
% 0.12/0.40 fof(f280,plain,(
% 0.12/0.40 product(e_3,e_1,e_2)|~sQ9_spl|~sQ5_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f86,f166])).
% 0.12/0.40 fof(f284,plain,(
% 0.12/0.40 ![X0]: (~product(e_3,e_2,X0)|product(e_1,X0,e_3)|~sQ9_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f86,f45])).
% 0.12/0.40 fof(f285,plain,(
% 0.12/0.40 product(e_1,e_3,e_3)|~sQ9_spl|~sQ5_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f284,f69])).
% 0.12/0.40 fof(f289,plain,(
% 0.12/0.40 ![X0]: (~product(X0,e_3,e_3)|equalish(e_1,X0)|~sQ9_spl|~sQ5_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f285,f43])).
% 0.12/0.40 fof(f306,plain,(
% 0.12/0.40 equalish(e_1,e_3)|~sQ9_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f289,f59])).
% 0.12/0.40 fof(f307,plain,(
% 0.12/0.40 $false|~sQ9_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f306,f32])).
% 0.12/0.40 fof(f308,plain,(
% 0.12/0.40 ~sQ9_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f307])).
% 0.12/0.40 fof(f309,plain,(
% 0.12/0.40 product(e_1,e_1,e_2)|~sQ3_spl|~sQ9_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f174,f86])).
% 0.12/0.40 fof(f314,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_1,X0)|product(e_2,X0,e_1)|~sQ3_spl|~sQ9_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f309,f45])).
% 0.12/0.40 fof(f319,plain,(
% 0.12/0.40 product(e_2,e_2,e_1)|~sQ3_spl|~sQ9_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f314,f309])).
% 0.12/0.40 fof(f320,plain,(
% 0.12/0.40 sQ12_spl|~sQ3_spl|~sQ9_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f319,f95,f62,f85])).
% 0.12/0.40 fof(f325,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_1,X0)|product(e_3,X0,e_1)|~sQ26_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f145,f45])).
% 0.12/0.40 fof(f326,plain,(
% 0.12/0.40 product(e_3,e_3,e_1)|~sQ26_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f325,f145])).
% 0.12/0.40 fof(f327,plain,(
% 0.12/0.40 ![X0]: (~product(X0,e_3,e_1)|equalish(e_3,X0)|~sQ26_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f326,f43])).
% 0.12/0.40 fof(f328,plain,(
% 0.12/0.40 ![X0]: (~product(e_3,X0,e_1)|equalish(e_3,X0)|~sQ26_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f326,f41])).
% 0.12/0.40 fof(f333,plain,(
% 0.12/0.40 equalish(e_3,e_1)|~sQ26_spl|~sQ6_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f328,f73])).
% 0.12/0.40 fof(f334,plain,(
% 0.12/0.40 $false|~sQ26_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f333,f35])).
% 0.12/0.40 fof(f335,plain,(
% 0.12/0.40 ~sQ26_spl|~sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f334])).
% 0.12/0.40 fof(f340,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,e_1,X0)|product(e_2,X0,e_1)|~sQ25_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f142,f45])).
% 0.12/0.40 fof(f341,plain,(
% 0.12/0.40 product(e_2,e_2,e_1)|~sQ25_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f340,f142])).
% 0.12/0.40 fof(f342,plain,(
% 0.12/0.40 sQ12_spl|~sQ25_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f341,f95,f141])).
% 0.12/0.40 fof(f350,plain,(
% 0.12/0.40 product(e_2,e_2,e_1)|~sQ12_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f227,f221])).
% 0.12/0.40 fof(f354,plain,(
% 0.12/0.40 equalish(e_2,e_1)|~sQ24_spl|~sQ12_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f139,f226])).
% 0.12/0.40 fof(f360,plain,(
% 0.12/0.40 $false|~sQ24_spl|~sQ12_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f354,f33])).
% 0.12/0.40 fof(f361,plain,(
% 0.12/0.40 ~sQ24_spl|~sQ12_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f360])).
% 0.12/0.40 fof(f363,plain,(
% 0.12/0.40 product(e_3,e_3,e_1)|~sQ23_spl|~sQ17_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f135,f184])).
% 0.12/0.40 fof(f367,plain,(
% 0.12/0.40 ![X0]: (~product(e_2,e_1,X0)|product(e_3,X0,e_2)|~sQ23_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f135,f45])).
% 0.12/0.40 fof(f368,plain,(
% 0.12/0.40 product(e_1,e_2,e_1)|~sQ22_spl|~sQ15_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f132,f194])).
% 0.12/0.40 fof(f369,plain,(
% 0.12/0.40 product(e_3,e_2,e_1)|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f132,f184])).
% 0.12/0.40 fof(f373,plain,(
% 0.12/0.40 ![X0]: (~product(e_2,e_1,X0)|product(e_2,X0,e_2)|~sQ22_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f132,f45])).
% 0.12/0.40 fof(f374,plain,(
% 0.12/0.40 product(e_1,e_1,e_1)|~sQ21_spl|~sQ15_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f129,f194])).
% 0.12/0.40 fof(f375,plain,(
% 0.12/0.40 product(e_3,e_1,e_1)|~sQ21_spl|~sQ17_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f129,f184])).
% 0.12/0.40 fof(f379,plain,(
% 0.12/0.40 ![X0]: (~product(e_2,e_1,X0)|product(e_1,X0,e_2)|~sQ21_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f129,f45])).
% 0.12/0.40 fof(f380,plain,(
% 0.12/0.40 product(e_3,e_3,e_1)|~sQ20_spl|~sQ8_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f125,f152])).
% 0.12/0.40 fof(f384,plain,(
% 0.12/0.40 ![X0]: (~product(e_3,e_1,X0)|product(e_3,X0,e_3)|~sQ20_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f125,f45])).
% 0.12/0.40 fof(f385,plain,(
% 0.12/0.40 product(e_3,e_2,e_1)|~sQ19_spl|~sQ8_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f122,f152])).
% 0.12/0.40 fof(f389,plain,(
% 0.12/0.40 ![X0]: (~product(e_3,e_1,X0)|product(e_2,X0,e_3)|~sQ19_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f122,f45])).
% 0.12/0.40 fof(f390,plain,(
% 0.12/0.40 product(e_3,e_1,e_1)|~sQ18_spl|~sQ8_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f119,f152])).
% 0.12/0.40 fof(f394,plain,(
% 0.12/0.40 ![X0]: (~product(e_3,e_1,X0)|product(e_1,X0,e_3)|~sQ18_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f119,f45])).
% 0.12/0.40 fof(f400,plain,(
% 0.12/0.40 ![X0]: (~product(X0,e_2,e_1)|equalish(e_3,X0)|~sQ22_spl|~sQ17_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f369,f43])).
% 0.12/0.40 fof(f405,plain,(
% 0.12/0.40 product(e_3,e_1,e_2)|~sQ23_spl|~sQ15_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f367,f106])).
% 0.12/0.40 fof(f408,plain,(
% 0.12/0.40 product(e_2,e_3,e_2)|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f373,f112])).
% 0.12/0.40 fof(f409,plain,(
% 0.12/0.40 product(e_1,e_1,e_2)|~sQ21_spl|~sQ15_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f379,f106])).
% 0.12/0.40 fof(f410,plain,(
% 0.12/0.40 product(e_1,e_3,e_2)|~sQ21_spl|~sQ17_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f379,f112])).
% 0.12/0.40 fof(f411,plain,(
% 0.12/0.40 sQ25_spl|~sQ21_spl|~sQ15_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f409,f141,f128,f105])).
% 0.12/0.40 fof(f413,plain,(
% 0.12/0.40 product(e_2,e_3,e_3)|~sQ19_spl|~sQ8_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f389,f79])).
% 0.12/0.40 fof(f414,plain,(
% 0.12/0.40 sQ11_spl|~sQ19_spl|~sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f413,f91,f121,f78])).
% 0.12/0.40 fof(f421,plain,(
% 0.12/0.40 ![X0]: (~product(X0,e_3,e_2)|equalish(e_2,X0)|~sQ22_spl|~sQ17_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f408,f43])).
% 0.12/0.40 fof(f422,plain,(
% 0.12/0.40 ![X0]: (~product(e_2,X0,e_2)|equalish(e_3,X0)|~sQ22_spl|~sQ17_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f408,f41])).
% 0.12/0.40 fof(f433,plain,(
% 0.12/0.40 product(e_2,e_1,e_1)|~sQ7_spl|~sQ18_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f157,f119])).
% 0.12/0.40 fof(f434,plain,(
% 0.12/0.40 product(e_2,e_3,e_1)|~sQ7_spl|~sQ20_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f157,f125])).
% 0.12/0.40 fof(f435,plain,(
% 0.12/0.40 sQ9_spl|~sQ7_spl|~sQ20_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f434,f85,f75,f124])).
% 0.12/0.40 fof(f437,plain,(
% 0.12/0.40 product(e_1,e_3,e_1)|~sQ6_spl|~sQ20_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f162,f125])).
% 0.12/0.40 fof(f441,plain,(
% 0.12/0.40 equalish(e_2,e_3)|~sQ1_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f56,f421])).
% 0.12/0.40 fof(f445,plain,(
% 0.12/0.40 ![X0]: (~product(e_3,e_3,X0)|product(e_2,X0,e_3)|~sQ1_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f56,f45])).
% 0.12/0.40 fof(f446,plain,(
% 0.12/0.40 $false|~sQ1_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f441,f34])).
% 0.12/0.40 fof(f447,plain,(
% 0.12/0.40 ~sQ1_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f446])).
% 0.12/0.40 fof(f448,plain,(
% 0.12/0.40 sQ21_spl|~sQ22_spl|~sQ15_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f368,f128,f131,f105])).
% 0.12/0.40 fof(f478,plain,(
% 0.12/0.40 equalish(e_3,e_2)|~sQ13_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f99,f422])).
% 0.12/0.40 fof(f483,plain,(
% 0.12/0.40 $false|~sQ13_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f478,f36])).
% 0.12/0.40 fof(f484,plain,(
% 0.12/0.40 ~sQ13_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f483])).
% 0.12/0.40 fof(f485,plain,(
% 0.12/0.40 sQ1_spl|~sQ14_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f199,f55,f101])).
% 0.12/0.40 fof(f486,plain,(
% 0.12/0.40 sQ6_spl|~sQ21_spl|~sQ17_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f375,f72,f128,f111])).
% 0.12/0.40 fof(f487,plain,(
% 0.12/0.40 $false|~sQ12_spl|~sQ7_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f250,f32])).
% 0.12/0.40 fof(f488,plain,(
% 0.12/0.40 ~sQ12_spl|~sQ7_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f487])).
% 0.12/0.40 fof(f492,plain,(
% 0.12/0.40 product(e_2,e_2,e_1)|~sQ22_spl|~sQ16_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f132,f189])).
% 0.12/0.40 fof(f497,plain,(
% 0.12/0.40 sQ12_spl|~sQ22_spl|~sQ16_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f492,f95,f131,f108])).
% 0.12/0.40 fof(f498,plain,(
% 0.12/0.40 sQ7_spl|~sQ23_spl|~sQ15_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f405,f75,f134,f105])).
% 0.12/0.40 fof(f505,plain,(
% 0.12/0.40 product(e_2,e_2,e_3)|~sQ1_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f56,f445])).
% 0.12/0.40 fof(f510,plain,(
% 0.12/0.40 sQ14_spl|~sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f505,f101,f55])).
% 0.12/0.40 fof(f514,plain,(
% 0.12/0.40 ![X0]: (~product(e_3,e_3,X0)|product(e_1,X0,e_3)|~sQ0_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f53,f45])).
% 0.12/0.40 fof(f531,plain,(
% 0.12/0.40 product(e_1,e_1,e_3)|~sQ0_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f514,f53])).
% 0.12/0.40 fof(f532,plain,(
% 0.12/0.40 sQ26_spl|~sQ0_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f531,f144,f52])).
% 0.12/0.40 fof(f533,plain,(
% 0.12/0.40 $false|~sQ14_spl|~sQ7_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f208,f35])).
% 0.12/0.40 fof(f534,plain,(
% 0.12/0.40 ~sQ14_spl|~sQ7_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f533])).
% 0.12/0.40 fof(f536,plain,(
% 0.12/0.40 product(e_1,e_2,e_1)|~sQ21_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f410,f162])).
% 0.12/0.40 fof(f538,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,X0,e_2)|equalish(e_3,X0)|~sQ21_spl|~sQ17_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f410,f41])).
% 0.12/0.40 fof(f548,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,X0,e_1)|equalish(e_2,X0)|~sQ21_spl|~sQ17_spl|~sQ6_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f536,f41])).
% 0.12/0.40 fof(f564,plain,(
% 0.12/0.40 product(e_1,e_1,e_3)|~sQ26_spl|~sQ0_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f326,f514])).
% 0.12/0.40 fof(f569,plain,(
% 0.12/0.40 product(e_3,e_1,e_2)|~sQ7_spl|~sQ18_spl|~sQ23_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f433,f367])).
% 0.12/0.40 fof(f578,plain,(
% 0.12/0.40 ![X0]: (~next(e_1,X0)|~greater(e_3,X0)|~sQ26_spl|~sQ0_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f564,f27])).
% 0.12/0.40 fof(f583,plain,(
% 0.12/0.40 product(e_1,e_2,e_3)|~sQ7_spl|~sQ23_spl|~sQ18_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f569,f394])).
% 0.12/0.40 fof(f589,plain,(
% 0.12/0.40 product(e_1,e_3,e_1)|~sQ7_spl|~sQ23_spl|~sQ18_spl|~sQ15_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f583,f194])).
% 0.12/0.40 fof(f595,plain,(
% 0.12/0.40 equalish(e_3,e_1)|~sQ7_spl|~sQ23_spl|~sQ18_spl|~sQ15_spl|~sQ26_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f589,f327])).
% 0.12/0.40 fof(f597,plain,(
% 0.12/0.40 ![X0]: (~product(e_1,X0,e_1)|equalish(e_3,X0)|~sQ7_spl|~sQ23_spl|~sQ18_spl|~sQ15_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f589,f41])).
% 0.12/0.40 fof(f600,plain,(
% 0.12/0.40 $false|~sQ7_spl|~sQ23_spl|~sQ18_spl|~sQ15_spl|~sQ26_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f595,f35])).
% 0.12/0.40 fof(f601,plain,(
% 0.12/0.40 ~sQ7_spl|~sQ23_spl|~sQ18_spl|~sQ15_spl|~sQ26_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f600])).
% 0.12/0.40 fof(f673,plain,(
% 0.12/0.40 equalish(e_2,e_1)|~sQ24_spl|~sQ21_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f139,f548])).
% 0.12/0.40 fof(f680,plain,(
% 0.12/0.40 $false|~sQ24_spl|~sQ21_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f673,f33])).
% 0.12/0.40 fof(f681,plain,(
% 0.12/0.40 ~sQ24_spl|~sQ21_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f680])).
% 0.12/0.40 fof(f682,plain,(
% 0.12/0.40 sQ15_spl|~sQ7_spl|~sQ18_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f433,f105,f75,f118])).
% 0.12/0.40 fof(f709,plain,(
% 0.12/0.40 ~next(e_1,e_2)|~sQ26_spl|~sQ0_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f578,f25])).
% 0.12/0.40 fof(f711,plain,(
% 0.12/0.40 $false|~sQ26_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f709,f21])).
% 0.12/0.40 fof(f712,plain,(
% 0.12/0.40 ~sQ26_spl|~sQ0_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f711])).
% 0.12/0.40 fof(f713,plain,(
% 0.12/0.40 sQ24_spl|~sQ21_spl|~sQ15_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f374,f138,f128,f105])).
% 0.12/0.40 fof(f714,plain,(
% 0.12/0.40 sQ0_spl|~sQ23_spl|~sQ17_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f363,f52,f134,f111])).
% 0.12/0.40 fof(f715,plain,(
% 0.12/0.40 sQ0_spl|~sQ26_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f326,f52,f144])).
% 0.12/0.40 fof(f716,plain,(
% 0.12/0.40 sQ3_spl|~sQ19_spl|~sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f385,f62,f121,f78])).
% 0.12/0.40 fof(f753,plain,(
% 0.12/0.40 equalish(e_3,e_1)|~sQ24_spl|~sQ7_spl|~sQ23_spl|~sQ18_spl|~sQ15_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f139,f597])).
% 0.12/0.40 fof(f760,plain,(
% 0.12/0.40 $false|~sQ24_spl|~sQ7_spl|~sQ23_spl|~sQ18_spl|~sQ15_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f753,f35])).
% 0.12/0.40 fof(f761,plain,(
% 0.12/0.40 ~sQ24_spl|~sQ7_spl|~sQ23_spl|~sQ18_spl|~sQ15_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f760])).
% 0.12/0.40 fof(f778,plain,(
% 0.12/0.40 product(e_2,e_1,e_1)|~sQ21_spl|~sQ16_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f129,f189])).
% 0.12/0.40 fof(f783,plain,(
% 0.12/0.40 sQ15_spl|~sQ21_spl|~sQ16_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f778,f105,f128,f108])).
% 0.12/0.40 fof(f793,plain,(
% 0.12/0.40 product(e_2,e_2,e_3)|~sQ7_spl|~sQ19_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f76,f389])).
% 0.12/0.40 fof(f799,plain,(
% 0.12/0.40 sQ14_spl|~sQ7_spl|~sQ19_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f793,f101,f75,f121])).
% 0.12/0.40 fof(f800,plain,(
% 0.12/0.40 product(e_2,e_3,e_1)|~sQ23_spl|~sQ16_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f135,f189])).
% 0.12/0.40 fof(f812,plain,(
% 0.12/0.40 product(e_3,e_2,e_3)|~sQ20_spl|~sQ7_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f384,f76])).
% 0.12/0.40 fof(f813,plain,(
% 0.12/0.40 sQ5_spl|~sQ20_spl|~sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f812,f68,f124,f75])).
% 0.12/0.40 fof(f814,plain,(
% 0.12/0.40 sQ6_spl|~sQ18_spl|~sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f390,f72,f118,f78])).
% 0.12/0.40 fof(f815,plain,(
% 0.12/0.40 $false|~sQ23_spl|~sQ16_spl|sQ9_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f87,f800])).
% 0.12/0.40 fof(f816,plain,(
% 0.12/0.40 ~sQ23_spl|~sQ16_spl|sQ9_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f815])).
% 0.12/0.40 fof(f845,plain,(
% 0.12/0.40 equalish(e_3,e_2)|~sQ12_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f350,f400])).
% 0.12/0.40 fof(f850,plain,(
% 0.12/0.40 $false|~sQ12_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f845,f36])).
% 0.12/0.40 fof(f851,plain,(
% 0.12/0.40 ~sQ12_spl|~sQ22_spl|~sQ17_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f850])).
% 0.12/0.40 fof(f853,plain,(
% 0.12/0.40 sQ7_spl|~sQ9_spl|~sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f280,f75,f85,f68])).
% 0.12/0.40 fof(f855,plain,(
% 0.12/0.40 sQ0_spl|~sQ20_spl|~sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f380,f52,f124,f78])).
% 0.12/0.40 fof(f874,plain,(
% 0.12/0.40 equalish(e_3,e_1)|~sQ21_spl|~sQ17_spl|~sQ12_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f538,f221])).
% 0.12/0.40 fof(f876,plain,(
% 0.12/0.40 $false|~sQ21_spl|~sQ17_spl|~sQ12_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f874,f35])).
% 0.12/0.40 fof(f877,plain,(
% 0.12/0.40 ~sQ21_spl|~sQ17_spl|~sQ12_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f876])).
% 0.12/0.40 fof(f892,plain,(
% 0.12/0.40 product(e_2,e_1,e_3)|~sQ6_spl|~sQ19_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f73,f389])).
% 0.12/0.40 fof(f898,plain,(
% 0.12/0.40 sQ17_spl|~sQ6_spl|~sQ19_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f892,f111,f72,f121])).
% 0.12/0.40 fof(f910,plain,(
% 0.12/0.40 product(e_1,e_1,e_3)|~sQ18_spl|~sQ6_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f394,f73])).
% 0.12/0.40 fof(f911,plain,(
% 0.12/0.40 sQ26_spl|~sQ18_spl|~sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f910,f144,f118,f72])).
% 0.12/0.40 fof(f912,plain,(
% 0.12/0.40 sQ18_spl|~sQ6_spl|~sQ20_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f437,f118,f72,f124])).
% 0.12/0.40 fof(f913,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f61,f81,f104,f114,f127,f137,f147,f252,f308,f320,f335,f342,f361,f411,f414,f435,f447,f448,f484,f485,f486,f488,f497,f498,f510,f532,f534,f601,f681,f682,f712,f713,f714,f715,f716,f761,f783,f799,f813,f814,f816,f851,f853,f855,f877,f898,f911,f912])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.056760 seconds
% 0.12/0.42 % CPU time: 0.246098 seconds
% 0.12/0.42 % Total memory used: 18.403 MB
% 0.12/0.42 % Net memory used: 18.097 MB
%------------------------------------------------------------------------------