%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP232-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:36:18 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP232-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n019.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sun Sep 20 20:07:35 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.34 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f7,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f9,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f10,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f11,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f12,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f13,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f14,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f15,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f16,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f17,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f18,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f19,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f20,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f24,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f25,negated_conjecture,(
% 0.12/0.38 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f29,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f30,negated_conjecture,(
% 0.12/0.38 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f34,negated_conjecture,(
% 0.12/0.38 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| multiply(X4,sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X5,X6) != sk_c8| inverse(X5) != X6| multiply(X6,sk_c7) != sk_c8| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f38,plain,(
% 0.12/0.38 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f39,plain,(
% 0.12/0.38 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 inverse(sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f41,plain,(
% 0.12/0.38 inverse(sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 inverse(sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.38 fof(f43,plain,(
% 0.12/0.38 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.38 fof(f45,plain,(
% 0.12/0.38 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.38 fof(f47,plain,(
% 0.12/0.38 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f54,plain,(
% 0.12/0.38 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.38 fof(f58,plain,(
% 0.12/0.38 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.38 fof(f59,plain,(
% 0.12/0.38 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.38 fof(f63,plain,(
% 0.12/0.38 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.38 fof(f68,plain,(
% 0.12/0.38 ![X3]: ((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c8)=sk_c7|~multiply(X4,sk_c8)=sk_c7)|~inverse(X4)=sk_c8))|~multiply(X5,X6)=sk_c8)|~inverse(X5)=X6))|~multiply(X6,sk_c7)=sk_c8))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f34])).
% 0.12/0.38 fof(f69,plain,(
% 0.12/0.38 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c8|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.38 fof(f70,definition,(
% 0.12/0.38 sQ0_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f71,plain,(
% 0.12/0.38 inverse(sk_c8)=sk_c7|~sQ0_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.38 fof(f72,plain,(
% 0.12/0.38 ~inverse(sk_c8)=sk_c7|sQ0_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.38 fof(f73,definition,(
% 0.12/0.38 sQ1_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f74,plain,(
% 0.12/0.38 inverse(sk_c4)=sk_c8|~sQ1_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.38 fof(f76,plain,(
% 0.12/0.38 sQ0_spl|sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.12/0.38 fof(f77,definition,(
% 0.12/0.38 sQ2_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f78,plain,(
% 0.12/0.38 multiply(sk_c4,sk_c7)=sk_c8|~sQ2_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.38 fof(f80,plain,(
% 0.12/0.38 sQ0_spl|sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.12/0.38 fof(f81,definition,(
% 0.12/0.38 sQ3_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f82,plain,(
% 0.12/0.38 multiply(sk_c8,sk_c6)=sk_c7|~sQ3_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.38 fof(f84,plain,(
% 0.12/0.38 sQ0_spl|sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.12/0.38 fof(f85,definition,(
% 0.12/0.38 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f86,plain,(
% 0.12/0.38 multiply(sk_c5,sk_c8)=sk_c6|~sQ4_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.38 fof(f88,plain,(
% 0.12/0.38 sQ0_spl|sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.12/0.38 fof(f89,definition,(
% 0.12/0.38 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f90,plain,(
% 0.12/0.38 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f89])).
% 0.12/0.38 fof(f92,plain,(
% 0.12/0.38 sQ0_spl|sQ5_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.12/0.38 fof(f93,definition,(
% 0.12/0.38 sQ6_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f94,plain,(
% 0.12/0.38 multiply(sk_c1,sk_c8)=sk_c7|~sQ6_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.38 fof(f96,plain,(
% 0.12/0.38 sQ6_spl|sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.12/0.38 fof(f97,plain,(
% 0.12/0.38 sQ6_spl|sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.12/0.38 fof(f98,plain,(
% 0.12/0.38 sQ6_spl|sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.12/0.38 fof(f99,plain,(
% 0.12/0.38 sQ6_spl|sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.12/0.38 fof(f100,plain,(
% 0.12/0.38 sQ6_spl|sQ5_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.12/0.38 fof(f101,definition,(
% 0.12/0.38 sQ7_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f102,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c8|~sQ7_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.38 fof(f104,plain,(
% 0.12/0.38 sQ7_spl|sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.12/0.38 fof(f105,plain,(
% 0.12/0.38 sQ7_spl|sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.12/0.38 fof(f106,plain,(
% 0.12/0.38 sQ7_spl|sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.12/0.38 fof(f107,plain,(
% 0.12/0.38 sQ7_spl|sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.12/0.38 fof(f108,plain,(
% 0.12/0.38 sQ7_spl|sQ5_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.12/0.38 fof(f109,definition,(
% 0.12/0.38 sQ8_spl <=> (multiply(sk_c2,sk_c3)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f110,plain,(
% 0.12/0.38 multiply(sk_c2,sk_c3)=sk_c8|~sQ8_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.38 fof(f112,plain,(
% 0.12/0.38 sQ8_spl|sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.12/0.38 fof(f113,plain,(
% 0.12/0.38 sQ8_spl|sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.12/0.38 fof(f117,definition,(
% 0.12/0.38 sQ9_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f118,plain,(
% 0.12/0.38 inverse(sk_c2)=sk_c3|~sQ9_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.38 fof(f120,plain,(
% 0.12/0.38 sQ9_spl|sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.12/0.38 fof(f121,plain,(
% 0.12/0.38 sQ9_spl|sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.12/0.38 fof(f125,definition,(
% 0.12/0.38 sQ10_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f126,plain,(
% 0.12/0.38 multiply(sk_c3,sk_c7)=sk_c8|~sQ10_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.38 fof(f128,plain,(
% 0.12/0.38 sQ10_spl|sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.12/0.38 fof(f129,plain,(
% 0.12/0.38 sQ10_spl|sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.12/0.38 fof(f133,definition,(
% 0.12/0.38 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f134,plain,(
% 0.12/0.38 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.38 fof(f136,definition,(
% 0.12/0.38 ![X1,X2]: (sQ12_spl <=> (~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c8))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f137,plain,(
% 0.12/0.38 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ12_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.38 fof(f139,definition,(
% 0.12/0.38 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f140,plain,(
% 0.12/0.38 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ13_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f139])).
% 0.12/0.38 fof(f142,definition,(
% 0.12/0.38 ![X4,X5]: (sQ14_spl <=> (~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f143,plain,(
% 0.12/0.38 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ14_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f142])).
% 0.12/0.38 fof(f145,plain,(
% 0.12/0.38 ~sQ0_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f139,f142])).
% 0.12/0.38 fof(f146,plain,(
% 0.12/0.38 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.12/0.38 inference(destructive_equality_resolution,[status(thm)],[f143])).
% 0.12/0.38 fof(f177,plain,(
% 0.12/0.38 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ14_spl|~sQ4_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f86,f146])).
% 0.12/0.38 fof(f182,plain,(
% 0.12/0.38 ~sQ3_spl|~sQ5_spl|~sQ14_spl|~sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f177,f81,f89,f142,f85])).
% 0.12/0.38 fof(f185,plain,(
% 0.12/0.38 ~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ2_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f140,f78])).
% 0.12/0.38 fof(f187,plain,(
% 0.12/0.38 ~inverse(sk_c3)=sk_c8|~sk_c8=sk_c8|~sQ13_spl|~sQ10_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f126,f140])).
% 0.12/0.38 fof(f190,plain,(
% 0.12/0.38 ~sk_c8=sk_c8|~sQ1_spl|~sQ13_spl|~sQ2_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f74,f185])).
% 0.12/0.38 fof(f191,plain,(
% 0.12/0.38 $false|~sQ1_spl|~sQ13_spl|~sQ2_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f190])).
% 0.12/0.38 fof(f192,plain,(
% 0.12/0.38 ~sQ1_spl|~sQ13_spl|~sQ2_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f191])).
% 0.12/0.38 fof(f193,plain,(
% 0.12/0.38 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ12_spl)),
% 0.12/0.38 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.12/0.38 fof(f198,plain,(
% 0.12/0.38 multiply(sk_c8,sk_c5)=identity|~sQ5_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f90,f36])).
% 0.12/0.38 fof(f199,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.12/0.38 fof(f200,plain,(
% 0.12/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f35,f199])).
% 0.12/0.38 fof(f220,plain,(
% 0.12/0.38 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f35,f200])).
% 0.12/0.38 fof(f223,plain,(
% 0.12/0.38 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ6_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f94,f200])).
% 0.12/0.38 fof(f230,plain,(
% 0.12/0.38 sk_c5=multiply(inverse(sk_c8),identity)|~sQ5_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f198,f200])).
% 0.12/0.38 fof(f233,plain,(
% 0.12/0.38 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ4_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f86,f200])).
% 0.12/0.38 fof(f236,plain,(
% 0.12/0.38 sk_c8=multiply(sk_c8,sk_c7)|~sQ7_spl|~sQ6_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f102,f223])).
% 0.12/0.38 fof(f239,plain,(
% 0.12/0.38 sk_c5=multiply(sk_c7,identity)|~sQ0_spl|~sQ5_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f71,f230])).
% 0.12/0.38 fof(f242,plain,(
% 0.12/0.38 sk_c8=multiply(sk_c8,sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f90,f233])).
% 0.12/0.38 fof(f252,plain,(
% 0.12/0.38 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f236,f200])).
% 0.12/0.38 fof(f255,plain,(
% 0.12/0.38 sk_c7=identity|~sQ7_spl|~sQ6_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f36,f252])).
% 0.12/0.38 fof(f261,plain,(
% 0.12/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ7_spl|~sQ6_spl)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f255,f36])).
% 0.12/0.38 fof(f262,plain,(
% 0.12/0.38 ![X0]: (multiply(sk_c7,X0)=X0|~sQ7_spl|~sQ6_spl)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f255,f35])).
% 0.12/0.38 fof(f268,plain,(
% 0.12/0.38 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c8,sk_c7)=sk_c8|~sQ12_spl|~sQ7_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f102,f193])).
% 0.12/0.38 fof(f271,definition,(
% 0.12/0.38 sQ16_spl <=> (multiply(sk_c8,inverse(sk_c8))=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f273,plain,(
% 0.12/0.38 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|sQ16_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f271])).
% 0.12/0.38 fof(f274,definition,(
% 0.12/0.38 sQ17_spl <=> (multiply(sk_c7,sk_c7)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f276,plain,(
% 0.12/0.38 ~multiply(sk_c7,sk_c7)=sk_c8|sQ17_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f274])).
% 0.12/0.38 fof(f278,definition,(
% 0.12/0.38 sQ18_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f280,plain,(
% 0.12/0.38 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|sQ18_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f278])).
% 0.12/0.38 fof(f281,definition,(
% 0.12/0.38 sQ19_spl <=> (multiply(sk_c8,sk_c7)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f283,plain,(
% 0.12/0.38 ~multiply(sk_c8,sk_c7)=sk_c8|sQ19_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f281])).
% 0.12/0.38 fof(f284,plain,(
% 0.12/0.38 ~sQ18_spl|~sQ19_spl|~sQ12_spl|~sQ7_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f268,f278,f281,f136,f101])).
% 0.12/0.38 fof(f293,plain,(
% 0.12/0.38 ~sk_c8=sk_c8|~sQ7_spl|~sQ6_spl|sQ19_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f236,f283])).
% 0.12/0.38 fof(f294,plain,(
% 0.12/0.38 $false|~sQ7_spl|~sQ6_spl|sQ19_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f293])).
% 0.12/0.38 fof(f295,plain,(
% 0.12/0.38 ~sQ7_spl|~sQ6_spl|sQ19_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f294])).
% 0.12/0.38 fof(f302,plain,(
% 0.12/0.38 ~multiply(sk_c1,sk_c8)=sk_c8|~sQ7_spl|sQ18_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f102,f280])).
% 0.12/0.38 fof(f303,plain,(
% 0.12/0.38 ~sk_c7=sk_c8|~sQ6_spl|~sQ7_spl|sQ18_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f94,f302])).
% 0.12/0.38 fof(f304,plain,(
% 0.12/0.38 ~sk_c7=sk_c8|~sQ7_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f262,f276])).
% 0.12/0.38 fof(f305,plain,(
% 0.12/0.38 ~multiply(sk_c8,sk_c7)=sk_c8|~sQ0_spl|sQ16_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f71,f273])).
% 0.12/0.38 fof(f306,plain,(
% 0.12/0.38 ~sk_c8=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ16_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f236,f305])).
% 0.12/0.38 fof(f307,plain,(
% 0.12/0.38 $false|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ16_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f306])).
% 0.12/0.38 fof(f308,plain,(
% 0.12/0.38 ~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ16_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f307])).
% 0.12/0.38 fof(f311,plain,(
% 0.12/0.38 ~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ6_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f134,f94])).
% 0.12/0.38 fof(f315,plain,(
% 0.12/0.38 ~sk_c6=sk_c7|~inverse(sk_c5)=sk_c8|~sQ11_spl|~sQ4_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f86,f134])).
% 0.12/0.38 fof(f316,plain,(
% 0.12/0.38 ~sk_c8=sk_c8|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f102,f311])).
% 0.12/0.38 fof(f317,plain,(
% 0.12/0.38 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f316])).
% 0.12/0.38 fof(f318,plain,(
% 0.12/0.38 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f317])).
% 0.12/0.38 fof(f319,plain,(
% 0.12/0.38 multiply(sk_c7,sk_c8)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f71,f261])).
% 0.12/0.38 fof(f325,plain,(
% 0.12/0.38 sk_c8=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f262,f319])).
% 0.12/0.38 fof(f327,plain,(
% 0.12/0.38 $false|sQ18_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f325,f303])).
% 0.12/0.38 fof(f328,plain,(
% 0.12/0.38 sQ18_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f327])).
% 0.12/0.38 fof(f336,plain,(
% 0.12/0.38 inverse(sk_c7)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f325,f71])).
% 0.12/0.38 fof(f339,plain,(
% 0.12/0.38 multiply(sk_c2,sk_c3)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f325,f110])).
% 0.12/0.38 fof(f340,plain,(
% 0.12/0.38 multiply(sk_c3,sk_c7)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f325,f126])).
% 0.12/0.38 fof(f343,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c7|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f325,f102])).
% 0.12/0.38 fof(f348,plain,(
% 0.12/0.38 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f325,f146])).
% 0.12/0.38 fof(f349,plain,(
% 0.12/0.38 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f262,f348])).
% 0.12/0.38 fof(f350,plain,(
% 0.12/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f325,f349])).
% 0.12/0.38 fof(f351,plain,(
% 0.12/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f325,f350])).
% 0.12/0.38 fof(f353,plain,(
% 0.12/0.38 ~inverse(sk_c7)=sk_c7|~sQ0_spl|~sQ14_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f351,f262])).
% 0.12/0.38 fof(f357,definition,(
% 0.12/0.38 sQ22_spl <=> (sk_c7=sk_c7)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f359,plain,(
% 0.12/0.38 ~sk_c7=sk_c7|sQ22_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f357])).
% 0.12/0.38 fof(f368,plain,(
% 0.12/0.38 $false|sQ22_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f359])).
% 0.12/0.38 fof(f369,plain,(
% 0.12/0.38 sQ22_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f368])).
% 0.12/0.38 fof(f370,plain,(
% 0.12/0.38 ~sk_c7=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f325,f304])).
% 0.12/0.38 fof(f371,plain,(
% 0.12/0.38 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f370])).
% 0.12/0.38 fof(f372,plain,(
% 0.12/0.38 ~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f371])).
% 0.12/0.38 fof(f377,plain,(
% 0.12/0.38 multiply(sk_c7,sk_c1)=sk_c7|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f343,f261])).
% 0.12/0.38 fof(f378,plain,(
% 0.12/0.38 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~sQ6_spl|~sQ0_spl|~sQ7_spl)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f343,f200])).
% 0.12/0.38 fof(f379,plain,(
% 0.12/0.38 sk_c1=sk_c7|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f262,f377])).
% 0.12/0.38 fof(f380,plain,(
% 0.12/0.38 ![X0]: (X0=multiply(sk_c1,X0)|~sQ6_spl|~sQ0_spl|~sQ7_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f262,f378])).
% 0.12/0.38 fof(f381,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c1|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f379,f343])).
% 0.12/0.38 fof(f382,plain,(
% 0.12/0.38 inverse(sk_c7)=sk_c1|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f379,f336])).
% 0.12/0.38 fof(f386,plain,(
% 0.12/0.38 sk_c8=sk_c1|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f379,f325])).
% 0.12/0.38 fof(f387,plain,(
% 0.12/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c1|~sQ0_spl|~sQ7_spl|~sQ6_spl)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f379,f261])).
% 0.12/0.38 fof(f390,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c1|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f379,f382])).
% 0.12/0.38 fof(f397,plain,(
% 0.12/0.38 multiply(sk_c2,sk_c3)=sk_c1|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f379,f339])).
% 0.12/0.38 fof(f403,plain,(
% 0.12/0.38 ~inverse(sk_c1)=sk_c7|~sQ0_spl|~sQ14_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f379,f353])).
% 0.12/0.38 fof(f404,plain,(
% 0.12/0.38 ~inverse(sk_c1)=sk_c1|~sQ0_spl|~sQ14_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f379,f403])).
% 0.12/0.38 fof(f410,plain,(
% 0.12/0.38 $false|~sQ14_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f381,f404])).
% 0.12/0.38 fof(f411,plain,(
% 0.12/0.38 ~sQ14_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f410])).
% 0.12/0.38 fof(f419,definition,(
% 0.12/0.38 sQ25_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f421,plain,(
% 0.12/0.38 ~inverse(sk_c3)=sk_c8|sQ25_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f419])).
% 0.12/0.38 fof(f422,definition,(
% 0.12/0.38 sQ26_spl <=> (sk_c8=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f424,plain,(
% 0.12/0.38 ~sk_c8=sk_c8|sQ26_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f422])).
% 0.12/0.38 fof(f425,plain,(
% 0.12/0.38 ~sQ25_spl|~sQ26_spl|~sQ13_spl|~sQ10_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f187,f419,f422,f139,f125])).
% 0.12/0.38 fof(f426,definition,(
% 0.12/0.38 sQ27_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f428,plain,(
% 0.12/0.38 ~inverse(sk_c8)=sk_c8|sQ27_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f426])).
% 0.12/0.38 fof(f435,plain,(
% 0.12/0.38 ~inverse(sk_c1)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ27_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f386,f428])).
% 0.12/0.38 fof(f436,plain,(
% 0.12/0.38 ~inverse(sk_c1)=sk_c1|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ27_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f386,f435])).
% 0.12/0.38 fof(f439,plain,(
% 0.12/0.38 ~sk_c1=sk_c1|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ27_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f390,f436])).
% 0.12/0.38 fof(f440,plain,(
% 0.12/0.38 $false|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ27_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f439])).
% 0.12/0.38 fof(f441,plain,(
% 0.12/0.38 ~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ27_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f440])).
% 0.12/0.38 fof(f442,plain,(
% 0.12/0.38 $false|sQ26_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f424])).
% 0.12/0.38 fof(f443,plain,(
% 0.12/0.38 sQ26_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f442])).
% 0.12/0.38 fof(f454,plain,(
% 0.12/0.38 ~inverse(sk_c3)=sk_c1|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ25_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f386,f421])).
% 0.12/0.38 fof(f459,plain,(
% 0.12/0.38 multiply(sk_c3,sk_c1)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f379,f340])).
% 0.12/0.38 fof(f460,plain,(
% 0.12/0.38 multiply(sk_c3,sk_c1)=sk_c1|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f379,f459])).
% 0.12/0.38 fof(f462,plain,(
% 0.12/0.38 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c3,multiply(sk_c1,X0))|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f460,f37])).
% 0.12/0.38 fof(f463,plain,(
% 0.12/0.38 ![X0]: (X0=multiply(sk_c3,multiply(sk_c1,X0))|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f380,f462])).
% 0.12/0.38 fof(f464,plain,(
% 0.12/0.38 ![X0]: (X0=multiply(sk_c3,X0)|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f380,f463])).
% 0.12/0.38 fof(f478,plain,(
% 0.12/0.38 multiply(sk_c3,sk_c2)=sk_c1|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f118,f387])).
% 0.12/0.38 fof(f483,plain,(
% 0.12/0.38 sk_c2=sk_c1|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f464,f478])).
% 0.12/0.38 fof(f486,plain,(
% 0.12/0.38 sk_c3=multiply(inverse(sk_c2),sk_c1)|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f397,f200])).
% 0.12/0.38 fof(f488,plain,(
% 0.12/0.38 sk_c3=multiply(sk_c3,sk_c1)|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f118,f486])).
% 0.12/0.38 fof(f489,plain,(
% 0.12/0.38 sk_c3=sk_c1|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f464,f488])).
% 0.12/0.38 fof(f495,plain,(
% 0.12/0.38 inverse(sk_c1)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f483,f390])).
% 0.12/0.38 fof(f503,plain,(
% 0.12/0.38 inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f483,f495])).
% 0.12/0.38 fof(f504,plain,(
% 0.12/0.38 sk_c3=sk_c2|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f118,f503])).
% 0.12/0.38 fof(f508,plain,(
% 0.12/0.38 inverse(sk_c3)=sk_c3|~sQ10_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f504,f118])).
% 0.12/0.38 fof(f547,plain,(
% 0.12/0.38 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ2_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f78,f200])).
% 0.12/0.38 fof(f549,plain,(
% 0.12/0.38 sk_c7=multiply(sk_c8,sk_c8)|~sQ1_spl|~sQ2_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f74,f547])).
% 0.12/0.38 fof(f554,plain,(
% 0.12/0.38 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ4_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f86,f200])).
% 0.12/0.38 fof(f556,plain,(
% 0.12/0.38 sk_c8=multiply(sk_c8,sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f90,f554])).
% 0.12/0.38 fof(f557,plain,(
% 0.12/0.38 sk_c8=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f82,f556])).
% 0.12/0.38 fof(f558,plain,(
% 0.12/0.38 ~multiply(identity,inverse(identity))=sk_c8|~sk_c7=sk_c8|~sQ12_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f220,f193])).
% 0.12/0.38 fof(f563,definition,(
% 0.12/0.38 sQ29_spl <=> (multiply(identity,inverse(identity))=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f565,plain,(
% 0.12/0.38 ~multiply(identity,inverse(identity))=sk_c8|sQ29_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f563])).
% 0.12/0.38 fof(f566,definition,(
% 0.12/0.38 sQ30_spl <=> (sk_c7=sk_c8)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f568,plain,(
% 0.12/0.38 ~sk_c7=sk_c8|sQ30_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f566])).
% 0.12/0.38 fof(f569,plain,(
% 0.12/0.38 ~sQ29_spl|~sQ30_spl|~sQ12_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f558,f563,f566,f136])).
% 0.12/0.38 fof(f583,plain,(
% 0.12/0.38 ~inverse(identity)=sk_c8|sQ29_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f35,f565])).
% 0.12/0.38 fof(f588,plain,(
% 0.12/0.38 multiply(sk_c4,sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f557,f78])).
% 0.12/0.38 fof(f594,plain,(
% 0.12/0.38 inverse(sk_c5)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f557,f90])).
% 0.12/0.38 fof(f596,plain,(
% 0.12/0.38 inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f557,f71])).
% 0.12/0.38 fof(f597,plain,(
% 0.12/0.38 inverse(sk_c4)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f557,f74])).
% 0.12/0.38 fof(f604,plain,(
% 0.12/0.38 ~sk_c7=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f557,f568])).
% 0.12/0.38 fof(f605,plain,(
% 0.12/0.38 $false|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f604])).
% 0.12/0.38 fof(f606,plain,(
% 0.12/0.38 ~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f605])).
% 0.12/0.38 fof(f612,definition,(
% 0.12/0.38 sQ34_spl <=> (sk_c6=sk_c7)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f614,plain,(
% 0.12/0.38 ~sk_c6=sk_c7|sQ34_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f612])).
% 0.12/0.38 fof(f615,plain,(
% 0.12/0.38 ~sQ34_spl|~sQ5_spl|~sQ11_spl|~sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f315,f612,f89,f133,f85])).
% 0.12/0.38 fof(f617,plain,(
% 0.12/0.38 ~inverse(identity)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ29_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f557,f583])).
% 0.12/0.38 fof(f618,plain,(
% 0.12/0.38 multiply(sk_c7,sk_c5)=identity|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f594,f36])).
% 0.12/0.38 fof(f627,plain,(
% 0.12/0.38 sk_c7=multiply(sk_c8,sk_c6)|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f557,f242])).
% 0.12/0.38 fof(f628,plain,(
% 0.12/0.38 sk_c7=multiply(sk_c7,sk_c6)|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f557,f627])).
% 0.12/0.38 fof(f629,plain,(
% 0.12/0.38 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f628,f200])).
% 0.12/0.38 fof(f631,plain,(
% 0.12/0.38 sk_c6=identity|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f36,f629])).
% 0.12/0.38 fof(f632,plain,(
% 0.12/0.38 ~inverse(sk_c6)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ29_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f631,f617])).
% 0.12/0.38 fof(f640,plain,(
% 0.12/0.38 sk_c7=multiply(inverse(sk_c4),sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f588,f200])).
% 0.12/0.38 fof(f642,plain,(
% 0.12/0.38 sk_c7=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f597,f640])).
% 0.12/0.38 fof(f645,plain,(
% 0.12/0.38 sk_c7=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f646,f628])).
% 0.12/0.38 fof(f646,plain,(
% 0.12/0.38 sk_c5=multiply(sk_c7,sk_c6)|~sQ3_spl|~sQ4_spl|~sQ0_spl|~sQ5_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f631,f239])).
% 0.12/0.38 fof(f654,plain,(
% 0.12/0.38 ~inverse(sk_c6)=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ29_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f645,f632])).
% 0.12/0.38 fof(f655,plain,(
% 0.12/0.38 inverse(sk_c7)=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f645,f596])).
% 0.12/0.38 fof(f660,plain,(
% 0.12/0.38 sk_c8=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f645,f557])).
% 0.12/0.38 fof(f662,plain,(
% 0.12/0.38 inverse(sk_c5)=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f645,f655])).
% 0.12/0.38 fof(f669,plain,(
% 0.12/0.38 multiply(sk_c5,sk_c5)=identity|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f660,f198])).
% 0.12/0.38 fof(f670,plain,(
% 0.12/0.38 multiply(sk_c5,sk_c5)=sk_c6|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f631,f669])).
% 0.12/0.38 fof(f708,definition,(
% 0.12/0.38 sQ36_spl <=> (inverse(sk_c5)=sk_c5)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f710,plain,(
% 0.12/0.38 ~inverse(sk_c5)=sk_c5|sQ36_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f708])).
% 0.12/0.38 fof(f712,definition,(
% 0.12/0.38 sQ37_spl <=> (sk_c5=sk_c5)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f714,plain,(
% 0.12/0.38 ~sk_c5=sk_c5|sQ37_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f712])).
% 0.12/0.38 fof(f727,plain,(
% 0.12/0.38 $false|sQ37_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f714])).
% 0.12/0.38 fof(f728,plain,(
% 0.12/0.38 sQ37_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f727])).
% 0.12/0.38 fof(f729,plain,(
% 0.12/0.38 ~sk_c5=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|sQ36_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f662,f710])).
% 0.12/0.38 fof(f730,plain,(
% 0.12/0.38 $false|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|sQ36_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f729])).
% 0.12/0.38 fof(f731,plain,(
% 0.12/0.38 ~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|sQ36_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f730])).
% 0.12/0.38 fof(f743,plain,(
% 0.12/0.38 sk_c5=multiply(sk_c8,sk_c8)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f645,f549])).
% 0.12/0.38 fof(f744,plain,(
% 0.12/0.38 sk_c5=multiply(sk_c5,sk_c8)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f660,f743])).
% 0.12/0.38 fof(f745,plain,(
% 0.12/0.38 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f746,f670])).
% 0.12/0.38 fof(f746,plain,(
% 0.12/0.38 sk_c5=multiply(sk_c5,sk_c5)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f660,f744])).
% 0.12/0.38 fof(f761,plain,(
% 0.12/0.38 ~inverse(sk_c5)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ29_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f745,f654])).
% 0.12/0.38 fof(f765,plain,(
% 0.12/0.38 ~sQ36_spl|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ29_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f761,f708,f73,f77,f70,f81,f89,f85,f563])).
% 0.12/0.38 fof(f791,definition,(
% 0.12/0.38 sQ42_spl <=> (sk_c3=sk_c3)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f793,plain,(
% 0.12/0.38 ~sk_c3=sk_c3|sQ42_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f791])).
% 0.12/0.38 fof(f795,plain,(
% 0.12/0.38 $false|sQ42_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f793])).
% 0.12/0.38 fof(f796,plain,(
% 0.12/0.38 sQ42_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f795])).
% 0.12/0.38 fof(f809,plain,(
% 0.12/0.38 ~sk_c3=sk_c1|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ25_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f508,f454])).
% 0.12/0.38 fof(f810,plain,(
% 0.12/0.38 ~sk_c3=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ25_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f489,f809])).
% 0.12/0.38 fof(f811,plain,(
% 0.12/0.38 $false|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ25_spl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f810])).
% 0.12/0.38 fof(f812,plain,(
% 0.12/0.38 ~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ25_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f811])).
% 0.12/0.38 fof(f818,plain,(
% 0.12/0.38 ![X0]: (multiply(sk_c6,X0)=X0|~sQ3_spl|~sQ5_spl|~sQ4_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f631,f35])).
% 0.12/0.38 fof(f821,plain,(
% 0.12/0.38 ~inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f557,f72])).
% 0.12/0.38 fof(f832,plain,(
% 0.12/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f631,f36])).
% 0.12/0.38 fof(f856,plain,(
% 0.12/0.38 multiply(sk_c7,sk_c5)=sk_c6|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f631,f618])).
% 0.12/0.38 fof(f864,plain,(
% 0.12/0.38 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f642,f200])).
% 0.12/0.38 fof(f866,plain,(
% 0.12/0.38 sk_c7=sk_c6|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f832,f864])).
% 0.12/0.38 fof(f867,plain,(
% 0.12/0.38 $false|sQ34_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f866,f614])).
% 0.12/0.38 fof(f868,plain,(
% 0.12/0.38 sQ34_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f867])).
% 0.12/0.38 fof(f871,plain,(
% 0.12/0.38 multiply(sk_c6,sk_c5)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f866,f856])).
% 0.12/0.38 fof(f878,plain,(
% 0.12/0.38 ~inverse(sk_c7)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f866,f821])).
% 0.12/0.38 fof(f880,plain,(
% 0.12/0.38 inverse(sk_c5)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f866,f594])).
% 0.12/0.38 fof(f887,plain,(
% 0.12/0.38 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f818,f871])).
% 0.12/0.38 fof(f895,plain,(
% 0.12/0.38 ~inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f866,f878])).
% 0.12/0.38 fof(f911,plain,(
% 0.12/0.38 ~inverse(sk_c5)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f887,f895])).
% 0.12/0.38 fof(f912,plain,(
% 0.12/0.38 ~inverse(sk_c5)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f887,f911])).
% 0.12/0.38 fof(f913,plain,(
% 0.12/0.38 inverse(sk_c5)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f887,f880])).
% 0.12/0.38 fof(f914,plain,(
% 0.12/0.38 $false|sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f913,f912])).
% 0.12/0.38 fof(f915,plain,(
% 0.12/0.38 sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f914])).
% 0.12/0.38 fof(f916,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f120,f121,f128,f129,f145,f182,f192,f284,f295,f308,f318,f328,f369,f372,f411,f425,f441,f443,f569,f606,f615,f728,f731,f765,f796,f812,f868,f915])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.064342 seconds
% 0.12/0.40 % CPU time: 0.230638 seconds
% 0.12/0.40 % Total memory used: 105.381 MB
% 0.12/0.40 % Net memory used: 105.144 MB
%------------------------------------------------------------------------------