%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-6.004 : 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 : n017.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 12:35:47 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-6.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 19:54:42 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f1,axiom,(
% 0.17/0.48 group_element(e_1) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f2,axiom,(
% 0.17/0.48 group_element(e_2) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f3,axiom,(
% 0.17/0.48 group_element(e_3) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f4,axiom,(
% 0.17/0.48 group_element(e_4) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f5,axiom,(
% 0.17/0.48 ~ equalish(e_1,e_2) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f6,axiom,(
% 0.17/0.48 ~ equalish(e_1,e_3) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f7,axiom,(
% 0.17/0.48 ~ equalish(e_1,e_4) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f8,axiom,(
% 0.17/0.48 ~ equalish(e_2,e_1) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f9,axiom,(
% 0.17/0.48 ~ equalish(e_2,e_3) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f10,axiom,(
% 0.17/0.48 ~ equalish(e_2,e_4) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f11,axiom,(
% 0.17/0.48 ~ equalish(e_3,e_1) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f12,axiom,(
% 0.17/0.48 ~ equalish(e_3,e_2) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f13,axiom,(
% 0.17/0.48 ~ equalish(e_3,e_4) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f14,axiom,(
% 0.17/0.48 ~ equalish(e_4,e_1) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f15,axiom,(
% 0.17/0.48 ~ equalish(e_4,e_2) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f16,axiom,(
% 0.17/0.48 ~ equalish(e_4,e_3) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f17,axiom,(
% 0.17/0.48 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product1(X,Y,e_1)| product1(X,Y,e_2)| product1(X,Y,e_3)| product1(X,Y,e_4) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f18,axiom,(
% 0.17/0.48 (![X,Y,W,Z]: (( ~ product1(X,Y,W)| ~ product1(X,Y,Z)| equalish(W,Z) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f19,axiom,(
% 0.17/0.48 (![X,W,Y,Z]: (( ~ product1(X,W,Y)| ~ product1(X,Z,Y)| equalish(W,Z) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f20,axiom,(
% 0.17/0.48 (![W,Y,X,Z]: (( ~ product1(W,Y,X)| ~ product1(Z,Y,X)| equalish(W,Z) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f21,axiom,(
% 0.17/0.48 (![X]: (product1(X,X,X) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f23,axiom,(
% 0.17/0.48 (![X,Y,W,Z]: (( ~ product2(X,Y,W)| ~ product2(X,Y,Z)| equalish(W,Z) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f26,axiom,(
% 0.17/0.48 (![X]: (product2(X,X,X) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f27,negated_conjecture,(
% 0.17/0.48 (![X,Y,Z1,Z2]: (( ~ product1(X,Y,Z1)| ~ product1(Z1,X,Z2)| product2(Z2,Y,X) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f28,plain,(
% 0.17/0.48 group_element(e_1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.48 fof(f29,plain,(
% 0.17/0.48 group_element(e_2)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.48 fof(f30,plain,(
% 0.17/0.48 group_element(e_3)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.48 fof(f31,plain,(
% 0.17/0.48 group_element(e_4)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.48 fof(f32,plain,(
% 0.17/0.48 ~equalish(e_1,e_2)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.48 fof(f33,plain,(
% 0.17/0.48 ~equalish(e_1,e_3)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.48 fof(f34,plain,(
% 0.17/0.48 ~equalish(e_1,e_4)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.48 fof(f35,plain,(
% 0.17/0.48 ~equalish(e_2,e_1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.48 fof(f36,plain,(
% 0.17/0.48 ~equalish(e_2,e_3)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.48 fof(f37,plain,(
% 0.17/0.48 ~equalish(e_2,e_4)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.17/0.48 fof(f38,plain,(
% 0.17/0.48 ~equalish(e_3,e_1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/0.48 fof(f39,plain,(
% 0.17/0.48 ~equalish(e_3,e_2)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/0.48 fof(f40,plain,(
% 0.17/0.48 ~equalish(e_3,e_4)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.48 fof(f41,plain,(
% 0.17/0.48 ~equalish(e_4,e_1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.48 fof(f42,plain,(
% 0.17/0.48 ~equalish(e_4,e_2)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.48 fof(f43,plain,(
% 0.17/0.48 ~equalish(e_4,e_3)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.17/0.48 fof(f44,plain,(
% 0.17/0.48 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product1(X0,X1,e_1)|product1(X0,X1,e_2)|product1(X0,X1,e_3)|product1(X0,X1,e_4))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.48 fof(f45,plain,(
% 0.17/0.48 ![W,Z]: ((![X,Y]: (~product1(X,Y,W)|~product1(X,Y,Z)))|equalish(W,Z))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f18])).
% 0.17/0.48 fof(f46,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X0,X1,X3)|equalish(X2,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f45])).
% 0.17/0.48 fof(f47,plain,(
% 0.17/0.48 ![W,Z]: ((![X,Y]: (~product1(X,W,Y)|~product1(X,Z,Y)))|equalish(W,Z))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f19])).
% 0.17/0.48 fof(f48,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X0,X3,X2)|equalish(X1,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f47])).
% 0.17/0.48 fof(f49,plain,(
% 0.17/0.48 ![W,Z]: ((![Y,X]: (~product1(W,Y,X)|~product1(Z,Y,X)))|equalish(W,Z))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f20])).
% 0.17/0.48 fof(f50,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X3,X1,X2)|equalish(X0,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/0.48 fof(f51,plain,(
% 0.17/0.48 ![X0]: (product1(X0,X0,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f21])).
% 0.17/0.48 fof(f53,plain,(
% 0.17/0.48 ![W,Z]: ((![X,Y]: (~product2(X,Y,W)|~product2(X,Y,Z)))|equalish(W,Z))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f23])).
% 0.17/0.48 fof(f54,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product2(X0,X1,X2)|~product2(X0,X1,X3)|equalish(X2,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f53])).
% 0.17/0.48 fof(f59,plain,(
% 0.17/0.48 ![X0]: (product2(X0,X0,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/0.48 fof(f60,plain,(
% 0.17/0.48 ![X,Y,Z2]: ((![Z1]: (~product1(X,Y,Z1)|~product1(Z1,X,Z2)))|product2(Z2,Y,X))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f27])).
% 0.17/0.48 fof(f61,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X2,X0,X3)|product2(X3,X1,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f60])).
% 0.17/0.48 fof(f64,plain,(
% 0.17/0.48 ![X0,X1]: (~product1(X0,X0,X1)|equalish(X1,X0))),
% 0.17/0.48 inference(resolution,[status(thm)],[f46,f51])).
% 0.17/0.48 fof(f66,plain,(
% 0.17/0.48 ![X0,X1]: (~product1(X0,X1,X0)|equalish(X1,X0))),
% 0.17/0.48 inference(resolution,[status(thm)],[f48,f51])).
% 0.17/0.48 fof(f67,plain,(
% 0.17/0.48 ![X0,X1]: (~product1(X0,X1,X1)|equalish(X0,X1))),
% 0.17/0.48 inference(resolution,[status(thm)],[f50,f51])).
% 0.17/0.48 fof(f68,plain,(
% 0.17/0.48 ![X0]: (~group_element(X0)|product1(e_4,X0,e_1)|product1(e_4,X0,e_2)|product1(e_4,X0,e_3)|product1(e_4,X0,e_4))),
% 0.17/0.48 inference(resolution,[status(thm)],[f44,f31])).
% 0.17/0.48 fof(f69,plain,(
% 0.17/0.48 ![X0]: (~group_element(X0)|product1(e_3,X0,e_1)|product1(e_3,X0,e_2)|product1(e_3,X0,e_3)|product1(e_3,X0,e_4))),
% 0.17/0.48 inference(resolution,[status(thm)],[f44,f30])).
% 0.17/0.48 fof(f70,plain,(
% 0.17/0.48 ![X0]: (~group_element(X0)|product1(e_2,X0,e_1)|product1(e_2,X0,e_2)|product1(e_2,X0,e_3)|product1(e_2,X0,e_4))),
% 0.17/0.48 inference(resolution,[status(thm)],[f44,f29])).
% 0.17/0.48 fof(f71,plain,(
% 0.17/0.48 ![X0]: (~group_element(X0)|product1(e_1,X0,e_1)|product1(e_1,X0,e_2)|product1(e_1,X0,e_3)|product1(e_1,X0,e_4))),
% 0.17/0.48 inference(resolution,[status(thm)],[f44,f28])).
% 0.17/0.48 fof(f77,plain,(
% 0.17/0.48 product1(e_4,e_3,e_1)|product1(e_4,e_3,e_2)|product1(e_4,e_3,e_3)|product1(e_4,e_3,e_4)),
% 0.17/0.48 inference(resolution,[status(thm)],[f68,f30])).
% 0.17/0.48 fof(f79,plain,(
% 0.17/0.48 product1(e_4,e_1,e_1)|product1(e_4,e_1,e_2)|product1(e_4,e_1,e_3)|product1(e_4,e_1,e_4)),
% 0.17/0.48 inference(resolution,[status(thm)],[f68,f28])).
% 0.17/0.48 fof(f93,definition,(
% 0.17/0.48 sQ4_spl <=> (product1(e_4,e_3,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f94,plain,(
% 0.17/0.48 product1(e_4,e_3,e_1)|~sQ4_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f93])).
% 0.17/0.48 fof(f96,definition,(
% 0.17/0.48 sQ5_spl <=> (product1(e_4,e_3,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f97,plain,(
% 0.17/0.48 product1(e_4,e_3,e_2)|~sQ5_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f96])).
% 0.17/0.48 fof(f99,definition,(
% 0.17/0.48 sQ6_spl <=> (product1(e_4,e_3,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f100,plain,(
% 0.17/0.48 product1(e_4,e_3,e_3)|~sQ6_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f99])).
% 0.17/0.48 fof(f102,definition,(
% 0.17/0.48 sQ7_spl <=> (product1(e_4,e_3,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f103,plain,(
% 0.17/0.48 product1(e_4,e_3,e_4)|~sQ7_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f102])).
% 0.17/0.48 fof(f105,plain,(
% 0.17/0.48 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f77,f93,f96,f99,f102])).
% 0.17/0.48 fof(f109,definition,(
% 0.17/0.48 sQ9_spl <=> (product1(e_4,e_2,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f110,plain,(
% 0.17/0.48 product1(e_4,e_2,e_2)|~sQ9_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f109])).
% 0.17/0.48 fof(f115,definition,(
% 0.17/0.48 sQ11_spl <=> (product1(e_4,e_2,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f116,plain,(
% 0.17/0.48 product1(e_4,e_2,e_4)|~sQ11_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f115])).
% 0.17/0.48 fof(f119,definition,(
% 0.17/0.48 sQ12_spl <=> (product1(e_4,e_1,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f120,plain,(
% 0.17/0.48 product1(e_4,e_1,e_1)|~sQ12_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f119])).
% 0.17/0.48 fof(f122,definition,(
% 0.17/0.48 sQ13_spl <=> (product1(e_4,e_1,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f123,plain,(
% 0.17/0.48 product1(e_4,e_1,e_2)|~sQ13_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f122])).
% 0.17/0.48 fof(f125,definition,(
% 0.17/0.48 sQ14_spl <=> (product1(e_4,e_1,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f126,plain,(
% 0.17/0.48 product1(e_4,e_1,e_3)|~sQ14_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f125])).
% 0.17/0.48 fof(f128,definition,(
% 0.17/0.48 sQ15_spl <=> (product1(e_4,e_1,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f129,plain,(
% 0.17/0.48 product1(e_4,e_1,e_4)|~sQ15_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f128])).
% 0.17/0.48 fof(f131,plain,(
% 0.17/0.48 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f79,f119,f122,f125,f128])).
% 0.17/0.48 fof(f135,plain,(
% 0.17/0.48 product1(e_3,e_1,e_1)|product1(e_3,e_1,e_2)|product1(e_3,e_1,e_3)|product1(e_3,e_1,e_4)),
% 0.17/0.48 inference(resolution,[status(thm)],[f69,f28])).
% 0.17/0.48 fof(f142,definition,(
% 0.17/0.48 sQ18_spl <=> (product1(e_3,e_4,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f143,plain,(
% 0.17/0.48 product1(e_3,e_4,e_3)|~sQ18_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f142])).
% 0.17/0.48 fof(f145,definition,(
% 0.17/0.48 sQ19_spl <=> (product1(e_3,e_4,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f146,plain,(
% 0.17/0.48 product1(e_3,e_4,e_4)|~sQ19_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f145])).
% 0.17/0.48 fof(f158,definition,(
% 0.17/0.48 sQ23_spl <=> (product1(e_3,e_3,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f159,plain,(
% 0.17/0.48 product1(e_3,e_3,e_4)|~sQ23_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f158])).
% 0.17/0.48 fof(f168,definition,(
% 0.17/0.48 sQ26_spl <=> (product1(e_3,e_2,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f169,plain,(
% 0.17/0.48 product1(e_3,e_2,e_3)|~sQ26_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f168])).
% 0.17/0.48 fof(f175,definition,(
% 0.17/0.48 sQ28_spl <=> (product1(e_3,e_1,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f176,plain,(
% 0.17/0.48 product1(e_3,e_1,e_1)|~sQ28_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f175])).
% 0.17/0.48 fof(f178,definition,(
% 0.17/0.48 sQ29_spl <=> (product1(e_3,e_1,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f179,plain,(
% 0.17/0.48 product1(e_3,e_1,e_2)|~sQ29_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f178])).
% 0.17/0.48 fof(f181,definition,(
% 0.17/0.48 sQ30_spl <=> (product1(e_3,e_1,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f182,plain,(
% 0.17/0.48 product1(e_3,e_1,e_3)|~sQ30_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f181])).
% 0.17/0.48 fof(f184,definition,(
% 0.17/0.48 sQ31_spl <=> (product1(e_3,e_1,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f185,plain,(
% 0.17/0.48 product1(e_3,e_1,e_4)|~sQ31_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f184])).
% 0.17/0.48 fof(f187,plain,(
% 0.17/0.48 sQ28_spl|sQ29_spl|sQ30_spl|sQ31_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f135,f175,f178,f181,f184])).
% 0.17/0.48 fof(f189,plain,(
% 0.17/0.48 product1(e_2,e_3,e_1)|product1(e_2,e_3,e_2)|product1(e_2,e_3,e_3)|product1(e_2,e_3,e_4)),
% 0.17/0.48 inference(resolution,[status(thm)],[f70,f30])).
% 0.17/0.48 fof(f191,plain,(
% 0.17/0.48 product1(e_2,e_1,e_1)|product1(e_2,e_1,e_2)|product1(e_2,e_1,e_3)|product1(e_2,e_1,e_4)),
% 0.17/0.48 inference(resolution,[status(thm)],[f70,f28])).
% 0.17/0.48 fof(f195,definition,(
% 0.17/0.48 sQ33_spl <=> (product1(e_2,e_4,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f196,plain,(
% 0.17/0.48 product1(e_2,e_4,e_2)|~sQ33_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f195])).
% 0.17/0.48 fof(f205,definition,(
% 0.17/0.48 sQ36_spl <=> (product1(e_2,e_3,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f206,plain,(
% 0.17/0.48 product1(e_2,e_3,e_1)|~sQ36_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f205])).
% 0.17/0.48 fof(f208,definition,(
% 0.17/0.48 sQ37_spl <=> (product1(e_2,e_3,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f209,plain,(
% 0.17/0.48 product1(e_2,e_3,e_2)|~sQ37_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f208])).
% 0.17/0.48 fof(f211,definition,(
% 0.17/0.48 sQ38_spl <=> (product1(e_2,e_3,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f212,plain,(
% 0.17/0.48 product1(e_2,e_3,e_3)|~sQ38_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f211])).
% 0.17/0.48 fof(f214,definition,(
% 0.17/0.48 sQ39_spl <=> (product1(e_2,e_3,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f215,plain,(
% 0.17/0.48 product1(e_2,e_3,e_4)|~sQ39_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f214])).
% 0.17/0.48 fof(f217,plain,(
% 0.17/0.48 sQ36_spl|sQ37_spl|sQ38_spl|sQ39_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f189,f205,f208,f211,f214])).
% 0.17/0.48 fof(f218,definition,(
% 0.17/0.48 sQ40_spl <=> (product1(e_2,e_2,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f219,plain,(
% 0.17/0.48 product1(e_2,e_2,e_1)|~sQ40_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f218])).
% 0.17/0.48 fof(f231,definition,(
% 0.17/0.48 sQ44_spl <=> (product1(e_2,e_1,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f232,plain,(
% 0.17/0.48 product1(e_2,e_1,e_1)|~sQ44_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f231])).
% 0.17/0.48 fof(f234,definition,(
% 0.17/0.48 sQ45_spl <=> (product1(e_2,e_1,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f235,plain,(
% 0.17/0.48 product1(e_2,e_1,e_2)|~sQ45_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f234])).
% 0.17/0.48 fof(f237,definition,(
% 0.17/0.48 sQ46_spl <=> (product1(e_2,e_1,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f238,plain,(
% 0.17/0.48 product1(e_2,e_1,e_3)|~sQ46_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f237])).
% 0.17/0.48 fof(f240,definition,(
% 0.17/0.48 sQ47_spl <=> (product1(e_2,e_1,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f241,plain,(
% 0.17/0.48 product1(e_2,e_1,e_4)|~sQ47_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f240])).
% 0.17/0.48 fof(f243,plain,(
% 0.17/0.48 sQ44_spl|sQ45_spl|sQ46_spl|sQ47_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f191,f231,f234,f237,f240])).
% 0.17/0.48 fof(f245,plain,(
% 0.17/0.48 product1(e_1,e_3,e_1)|product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3)|product1(e_1,e_3,e_4)),
% 0.17/0.48 inference(resolution,[status(thm)],[f71,f30])).
% 0.17/0.48 fof(f261,definition,(
% 0.17/0.48 sQ52_spl <=> (product1(e_1,e_3,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f262,plain,(
% 0.17/0.48 product1(e_1,e_3,e_1)|~sQ52_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f261])).
% 0.17/0.48 fof(f264,definition,(
% 0.17/0.48 sQ53_spl <=> (product1(e_1,e_3,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f265,plain,(
% 0.17/0.48 product1(e_1,e_3,e_2)|~sQ53_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f264])).
% 0.17/0.48 fof(f267,definition,(
% 0.17/0.48 sQ54_spl <=> (product1(e_1,e_3,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f268,plain,(
% 0.17/0.48 product1(e_1,e_3,e_3)|~sQ54_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f267])).
% 0.17/0.48 fof(f270,definition,(
% 0.17/0.48 sQ55_spl <=> (product1(e_1,e_3,e_4))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f271,plain,(
% 0.17/0.48 product1(e_1,e_3,e_4)|~sQ55_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f270])).
% 0.17/0.48 fof(f273,plain,(
% 0.17/0.48 sQ52_spl|sQ53_spl|sQ54_spl|sQ55_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f245,f261,f264,f267,f270])).
% 0.17/0.48 fof(f274,definition,(
% 0.17/0.48 sQ56_spl <=> (product1(e_1,e_2,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f275,plain,(
% 0.17/0.48 product1(e_1,e_2,e_1)|~sQ56_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f274])).
% 0.17/0.48 fof(f277,definition,(
% 0.17/0.48 sQ57_spl <=> (product1(e_1,e_2,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f278,plain,(
% 0.17/0.48 product1(e_1,e_2,e_2)|~sQ57_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f277])).
% 0.17/0.48 fof(f524,plain,(
% 0.17/0.48 ![X0,X1]: (~product2(X0,X0,X1)|equalish(X1,X0))),
% 0.17/0.48 inference(resolution,[status(thm)],[f54,f59])).
% 0.17/0.48 fof(f532,plain,(
% 0.17/0.48 equalish(e_1,e_4)|~sQ15_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f129,f66])).
% 0.17/0.48 fof(f538,plain,(
% 0.17/0.48 $false|~sQ15_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f532,f34])).
% 0.17/0.48 fof(f539,plain,(
% 0.17/0.48 ~sQ15_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f538])).
% 0.17/0.48 fof(f540,plain,(
% 0.17/0.48 ![X0]: (~product1(X0,e_1,e_3)|equalish(X0,e_4)|~sQ14_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f126,f50])).
% 0.17/0.48 fof(f543,plain,(
% 0.17/0.48 ![X0]: (~product1(e_1,X0,e_4)|product2(e_3,X0,e_1)|~sQ14_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f126,f61])).
% 0.17/0.48 fof(f548,plain,(
% 0.17/0.48 ![X0]: (~product1(X0,e_1,e_2)|equalish(X0,e_4)|~sQ13_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f123,f50])).
% 0.17/0.48 fof(f549,plain,(
% 0.17/0.48 ![X0]: (~product1(e_4,X0,e_2)|equalish(X0,e_1)|~sQ13_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f123,f48])).
% 0.17/0.48 fof(f554,plain,(
% 0.17/0.48 equalish(e_4,e_1)|~sQ12_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f120,f67])).
% 0.17/0.48 fof(f559,plain,(
% 0.17/0.48 $false|~sQ12_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f554,f41])).
% 0.17/0.48 fof(f560,plain,(
% 0.17/0.48 ~sQ12_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f559])).
% 0.17/0.48 fof(f561,plain,(
% 0.17/0.48 equalish(e_2,e_4)|~sQ11_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f116,f66])).
% 0.17/0.48 fof(f567,plain,(
% 0.17/0.48 $false|~sQ11_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f561,f37])).
% 0.17/0.48 fof(f568,plain,(
% 0.17/0.48 ~sQ11_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f567])).
% 0.17/0.48 fof(f578,plain,(
% 0.17/0.48 equalish(e_4,e_2)|~sQ9_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f110,f67])).
% 0.17/0.48 fof(f592,plain,(
% 0.17/0.48 equalish(e_3,e_4)|~sQ7_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f103,f66])).
% 0.17/0.48 fof(f598,plain,(
% 0.17/0.48 $false|~sQ7_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f592,f40])).
% 0.17/0.48 fof(f599,plain,(
% 0.17/0.48 ~sQ7_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f598])).
% 0.17/0.48 fof(f600,plain,(
% 0.17/0.48 equalish(e_4,e_3)|~sQ6_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f100,f67])).
% 0.17/0.48 fof(f605,plain,(
% 0.17/0.48 $false|~sQ6_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f600,f43])).
% 0.17/0.48 fof(f606,plain,(
% 0.17/0.48 ~sQ6_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f605])).
% 0.17/0.48 fof(f607,plain,(
% 0.17/0.48 equalish(e_3,e_1)|~sQ5_spl|~sQ13_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f97,f549])).
% 0.17/0.48 fof(f608,plain,(
% 0.17/0.48 ![X0]: (~product1(X0,e_3,e_2)|equalish(X0,e_4)|~sQ5_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f97,f50])).
% 0.17/0.48 fof(f612,plain,(
% 0.17/0.48 $false|~sQ5_spl|~sQ13_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f607,f38])).
% 0.17/0.48 fof(f613,plain,(
% 0.17/0.48 ~sQ5_spl|~sQ13_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f612])).
% 0.17/0.48 fof(f615,plain,(
% 0.17/0.48 ![X0]: (~product1(X0,e_3,e_1)|equalish(X0,e_4)|~sQ4_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f94,f50])).
% 0.17/0.48 fof(f618,plain,(
% 0.17/0.48 ![X0]: (~product1(e_3,X0,e_4)|product2(e_1,X0,e_3)|~sQ4_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f94,f61])).
% 0.17/0.48 fof(f626,plain,(
% 0.17/0.48 product2(e_1,e_1,e_3)|~sQ31_spl|~sQ4_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f185,f618])).
% 0.17/0.48 fof(f632,plain,(
% 0.17/0.48 equalish(e_3,e_1)|~sQ31_spl|~sQ4_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f626,f524])).
% 0.17/0.48 fof(f635,plain,(
% 0.17/0.48 $false|~sQ31_spl|~sQ4_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f632,f38])).
% 0.17/0.48 fof(f636,plain,(
% 0.17/0.48 ~sQ31_spl|~sQ4_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f635])).
% 0.17/0.48 fof(f637,plain,(
% 0.17/0.48 equalish(e_1,e_3)|~sQ30_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f182,f66])).
% 0.17/0.48 fof(f643,plain,(
% 0.17/0.48 $false|~sQ30_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f637,f33])).
% 0.17/0.48 fof(f644,plain,(
% 0.17/0.48 ~sQ30_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f643])).
% 0.17/0.48 fof(f645,plain,(
% 0.17/0.48 equalish(e_3,e_4)|~sQ29_spl|~sQ13_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f179,f548])).
% 0.17/0.48 fof(f650,plain,(
% 0.17/0.48 $false|~sQ29_spl|~sQ13_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f645,f40])).
% 0.17/0.48 fof(f651,plain,(
% 0.17/0.48 ~sQ29_spl|~sQ13_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f650])).
% 0.17/0.48 fof(f652,plain,(
% 0.17/0.48 equalish(e_3,e_1)|~sQ28_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f176,f67])).
% 0.17/0.48 fof(f657,plain,(
% 0.17/0.48 $false|~sQ28_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f652,f38])).
% 0.17/0.48 fof(f658,plain,(
% 0.17/0.48 ~sQ28_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f657])).
% 0.17/0.48 fof(f659,plain,(
% 0.17/0.48 $false|~sQ9_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f578,f42])).
% 0.17/0.48 fof(f660,plain,(
% 0.17/0.48 ~sQ9_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f659])).
% 0.17/0.48 fof(f667,plain,(
% 0.17/0.48 equalish(e_2,e_3)|~sQ26_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f169,f66])).
% 0.17/0.48 fof(f690,plain,(
% 0.17/0.48 equalish(e_4,e_3)|~sQ23_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f159,f64])).
% 0.17/0.48 fof(f693,plain,(
% 0.17/0.48 $false|~sQ23_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f690,f43])).
% 0.17/0.48 fof(f694,plain,(
% 0.17/0.48 ~sQ23_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f693])).
% 0.17/0.48 fof(f712,plain,(
% 0.17/0.48 equalish(e_3,e_4)|~sQ19_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f146,f67])).
% 0.17/0.48 fof(f717,plain,(
% 0.17/0.48 $false|~sQ19_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f712,f40])).
% 0.17/0.48 fof(f718,plain,(
% 0.17/0.48 ~sQ19_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f717])).
% 0.17/0.48 fof(f719,plain,(
% 0.17/0.48 equalish(e_4,e_3)|~sQ18_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f143,f66])).
% 0.17/0.48 fof(f725,plain,(
% 0.17/0.48 $false|~sQ18_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f719,f43])).
% 0.17/0.48 fof(f726,plain,(
% 0.17/0.48 ~sQ18_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f725])).
% 0.17/0.48 fof(f767,plain,(
% 0.17/0.48 ![X0]: (~product1(e_2,X0,e_4)|equalish(X0,e_1)|~sQ47_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f241,f48])).
% 0.17/0.48 fof(f781,plain,(
% 0.17/0.48 equalish(e_2,e_4)|~sQ46_spl|~sQ14_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f238,f540])).
% 0.17/0.48 fof(f789,plain,(
% 0.17/0.48 equalish(e_1,e_2)|~sQ45_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f235,f66])).
% 0.17/0.48 fof(f797,plain,(
% 0.17/0.48 equalish(e_2,e_1)|~sQ44_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f232,f67])).
% 0.17/0.48 fof(f802,plain,(
% 0.17/0.48 $false|~sQ44_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f797,f35])).
% 0.17/0.48 fof(f803,plain,(
% 0.17/0.48 ~sQ44_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f802])).
% 0.17/0.48 fof(f804,plain,(
% 0.17/0.48 $false|~sQ46_spl|~sQ14_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f781,f37])).
% 0.17/0.48 fof(f805,plain,(
% 0.17/0.48 ~sQ46_spl|~sQ14_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f804])).
% 0.17/0.48 fof(f806,plain,(
% 0.17/0.48 $false|~sQ45_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f789,f32])).
% 0.17/0.48 fof(f807,plain,(
% 0.17/0.48 ~sQ45_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f806])).
% 0.17/0.48 fof(f841,plain,(
% 0.17/0.48 equalish(e_1,e_2)|~sQ40_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f219,f64])).
% 0.17/0.48 fof(f844,plain,(
% 0.17/0.48 $false|~sQ40_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f841,f32])).
% 0.17/0.48 fof(f845,plain,(
% 0.17/0.48 ~sQ40_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f844])).
% 0.17/0.48 fof(f846,plain,(
% 0.17/0.48 equalish(e_3,e_1)|~sQ39_spl|~sQ47_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f215,f767])).
% 0.17/0.48 fof(f852,plain,(
% 0.17/0.48 $false|~sQ39_spl|~sQ47_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f846,f38])).
% 0.17/0.48 fof(f853,plain,(
% 0.17/0.48 ~sQ39_spl|~sQ47_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f852])).
% 0.17/0.48 fof(f855,plain,(
% 0.17/0.48 equalish(e_2,e_3)|~sQ38_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f212,f67])).
% 0.17/0.48 fof(f860,plain,(
% 0.17/0.48 $false|~sQ38_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f855,f36])).
% 0.17/0.48 fof(f861,plain,(
% 0.17/0.48 ~sQ38_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f860])).
% 0.17/0.48 fof(f862,plain,(
% 0.17/0.48 equalish(e_3,e_2)|~sQ37_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f209,f66])).
% 0.17/0.48 fof(f868,plain,(
% 0.17/0.48 $false|~sQ37_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f862,f39])).
% 0.17/0.48 fof(f869,plain,(
% 0.17/0.48 ~sQ37_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f868])).
% 0.17/0.48 fof(f870,plain,(
% 0.17/0.48 equalish(e_2,e_4)|~sQ36_spl|~sQ4_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f206,f615])).
% 0.17/0.48 fof(f871,plain,(
% 0.17/0.48 ![X0]: (~product1(X0,e_3,e_1)|equalish(X0,e_2)|~sQ36_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f206,f50])).
% 0.17/0.48 fof(f875,plain,(
% 0.17/0.48 $false|~sQ36_spl|~sQ4_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f870,f37])).
% 0.17/0.48 fof(f876,plain,(
% 0.17/0.48 ~sQ36_spl|~sQ4_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f875])).
% 0.17/0.48 fof(f894,plain,(
% 0.17/0.48 equalish(e_4,e_2)|~sQ33_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f196,f66])).
% 0.17/0.48 fof(f900,plain,(
% 0.17/0.48 $false|~sQ33_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f894,f42])).
% 0.17/0.48 fof(f901,plain,(
% 0.17/0.48 ~sQ33_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f900])).
% 0.17/0.48 fof(f970,plain,(
% 0.17/0.48 equalish(e_1,e_2)|~sQ57_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f278,f67])).
% 0.17/0.48 fof(f975,plain,(
% 0.17/0.48 $false|~sQ57_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f970,f32])).
% 0.17/0.48 fof(f976,plain,(
% 0.17/0.48 ~sQ57_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f975])).
% 0.17/0.48 fof(f978,plain,(
% 0.17/0.48 equalish(e_2,e_1)|~sQ56_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f275,f66])).
% 0.17/0.48 fof(f986,plain,(
% 0.17/0.48 $false|~sQ56_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f978,f35])).
% 0.17/0.48 fof(f987,plain,(
% 0.17/0.48 ~sQ56_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f986])).
% 0.17/0.48 fof(f1009,plain,(
% 0.17/0.48 product2(e_3,e_3,e_1)|~sQ55_spl|~sQ14_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f271,f543])).
% 0.17/0.48 fof(f1017,plain,(
% 0.17/0.48 equalish(e_1,e_3)|~sQ54_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f268,f67])).
% 0.17/0.48 fof(f1022,plain,(
% 0.17/0.48 $false|~sQ54_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1017,f33])).
% 0.17/0.48 fof(f1023,plain,(
% 0.17/0.48 ~sQ54_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f1022])).
% 0.17/0.48 fof(f1025,plain,(
% 0.17/0.48 equalish(e_1,e_4)|~sQ53_spl|~sQ5_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f265,f608])).
% 0.17/0.48 fof(f1030,plain,(
% 0.17/0.48 $false|~sQ53_spl|~sQ5_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1025,f34])).
% 0.17/0.48 fof(f1031,plain,(
% 0.17/0.48 ~sQ53_spl|~sQ5_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f1030])).
% 0.17/0.48 fof(f1032,plain,(
% 0.17/0.48 equalish(e_1,e_2)|~sQ52_spl|~sQ36_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f262,f871])).
% 0.17/0.48 fof(f1039,plain,(
% 0.17/0.48 $false|~sQ52_spl|~sQ36_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1032,f32])).
% 0.17/0.48 fof(f1040,plain,(
% 0.17/0.48 ~sQ52_spl|~sQ36_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f1039])).
% 0.17/0.48 fof(f1041,plain,(
% 0.17/0.48 $false|~sQ26_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f667,f36])).
% 0.17/0.48 fof(f1042,plain,(
% 0.17/0.48 ~sQ26_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f1041])).
% 0.17/0.48 fof(f1044,plain,(
% 0.17/0.48 equalish(e_1,e_3)|~sQ55_spl|~sQ14_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f1009,f524])).
% 0.17/0.48 fof(f1047,plain,(
% 0.17/0.48 $false|~sQ55_spl|~sQ14_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1044,f33])).
% 0.17/0.48 fof(f1048,plain,(
% 0.17/0.48 ~sQ55_spl|~sQ14_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f1047])).
% 0.17/0.48 fof(f1049,plain,(
% 0.17/0.48 $false),
% 0.17/0.48 inference(sat_refutation,[status(thm)],[f105,f131,f187,f217,f243,f273,f539,f560,f568,f599,f606,f613,f636,f644,f651,f658,f660,f694,f718,f726,f803,f805,f807,f845,f853,f861,f869,f876,f901,f976,f987,f1023,f1031,f1040,f1042,f1048])).
% 0.17/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.51 % Elapsed time: 0.071136 seconds
% 0.23/0.51 % CPU time: 0.209925 seconds
% 0.23/0.51 % Total memory used: 18.848 MB
% 0.23/0.51 % Net memory used: 18.523 MB
%------------------------------------------------------------------------------