%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP370-1 : 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 : n020.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 12:36:31 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP370-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:11:02 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % 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 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c7,sk_c8) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c7,sk_c8) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c7,sk_c8) = sk_c9| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c7,sk_c8) = sk_c9| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f10,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c7,sk_c8) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f25,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f26,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f29,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,negated_conjecture,(
% 0.12/0.39 (![X3,X4,X1,X2,X5,X6]: (( multiply(sk_c7,sk_c8) != sk_c9| multiply(X3,X4) != sk_c8| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(sk_c9,X5) != sk_c7| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9 ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,plain,(
% 0.12/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f36,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=sk_c9|multiply(sk_c9,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=sk_c9|multiply(sk_c5,sk_c9)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f42,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f43,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c9,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c5,sk_c9)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c9,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c9)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f56,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f61,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c9,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f62,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c5,sk_c9)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.39 fof(f64,plain,(
% 0.12/0.39 ![X6]: ((![X5]: (((![X2]: (((![X1]: (((![X4]: ((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c9|~multiply(X3,X4)=sk_c8)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c7)=sk_c8)|~inverse(X2)=sk_c7))|~multiply(sk_c9,X5)=sk_c7)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9)),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f32])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c7,sk_c8)=sk_c9|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/0.39 fof(f66,definition,(
% 0.12/0.39 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f67,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=sk_c9|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f66])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 ~multiply(sk_c7,sk_c8)=sk_c9|sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f66])).
% 0.12/0.39 fof(f69,definition,(
% 0.12/0.39 sQ1_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c9)=sk_c8|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f69])).
% 0.12/0.39 fof(f72,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f36,f66,f69])).
% 0.12/0.39 fof(f73,definition,(
% 0.12/0.39 sQ2_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c9|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 sQ0_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f37,f66,f73])).
% 0.12/0.39 fof(f77,definition,(
% 0.12/0.39 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.39 fof(f81,definition,(
% 0.12/0.39 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f82,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.39 fof(f85,definition,(
% 0.12/0.39 sQ5_spl <=> (multiply(sk_c9,sk_c6)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c6)=sk_c7|~sQ5_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.39 fof(f88,plain,(
% 0.12/0.39 sQ0_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f40,f66,f85])).
% 0.12/0.39 fof(f89,definition,(
% 0.12/0.39 sQ6_spl <=> (multiply(sk_c5,sk_c9)=sk_c6)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f90,plain,(
% 0.12/0.39 multiply(sk_c5,sk_c9)=sk_c6|~sQ6_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.12/0.39 fof(f92,plain,(
% 0.12/0.39 sQ0_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f41,f66,f89])).
% 0.12/0.39 fof(f93,definition,(
% 0.12/0.39 sQ7_spl <=> (inverse(sk_c5)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c9|~sQ7_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 sQ0_spl|sQ7_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f42,f66,f93])).
% 0.12/0.39 fof(f97,definition,(
% 0.12/0.39 sQ8_spl <=> (multiply(sk_c1,sk_c2)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c2)=sk_c8|~sQ8_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 sQ8_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f43,f97,f69])).
% 0.12/0.39 fof(f101,plain,(
% 0.12/0.39 sQ8_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.12/0.39 fof(f102,plain,(
% 0.12/0.39 sQ8_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.12/0.39 fof(f103,plain,(
% 0.12/0.39 sQ8_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.12/0.39 fof(f104,plain,(
% 0.12/0.39 sQ8_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.12/0.39 fof(f105,plain,(
% 0.12/0.39 sQ8_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 sQ8_spl|sQ7_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.12/0.39 fof(f107,definition,(
% 0.12/0.39 sQ9_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f108,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c2|~sQ9_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f107])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 sQ9_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f54,f107,f85])).
% 0.12/0.39 fof(f115,plain,(
% 0.12/0.39 sQ9_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f55,f107,f89])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 sQ9_spl|sQ7_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f56,f107,f93])).
% 0.12/0.39 fof(f117,definition,(
% 0.12/0.39 sQ10_spl <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f118,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c7)=sk_c8|~sQ10_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.39 fof(f120,plain,(
% 0.12/0.39 sQ10_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f57,f117,f69])).
% 0.12/0.39 fof(f121,plain,(
% 0.12/0.39 sQ10_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.12/0.39 fof(f122,plain,(
% 0.12/0.39 sQ10_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.12/0.39 fof(f123,plain,(
% 0.12/0.39 sQ10_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 sQ10_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.12/0.39 fof(f125,plain,(
% 0.12/0.39 sQ10_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.12/0.39 fof(f126,plain,(
% 0.12/0.39 sQ10_spl|sQ7_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f63,f117,f93])).
% 0.12/0.39 fof(f127,definition,(
% 0.12/0.39 ![X0,X1]: (sQ11_spl <=> (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f128,plain,(
% 0.12/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ11_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f127])).
% 0.12/0.39 fof(f130,definition,(
% 0.12/0.39 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f131,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ12_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f130])).
% 0.12/0.39 fof(f133,definition,(
% 0.12/0.39 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f134,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.39 fof(f136,definition,(
% 0.12/0.39 ![X4,X5]: (sQ14_spl <=> (~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f137,plain,(
% 0.12/0.39 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c7|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ14_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.39 fof(f139,plain,(
% 0.12/0.39 ~sQ0_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f65,f66,f127,f130,f133,f136])).
% 0.12/0.39 fof(f140,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c7|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.12/0.39 fof(f166,plain,(
% 0.12/0.39 ~multiply(sk_c9,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c9|~sQ14_spl|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f90,f140])).
% 0.12/0.39 fof(f171,plain,(
% 0.12/0.39 ~sQ5_spl|~sQ7_spl|~sQ14_spl|~sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f166,f85,f93,f136,f89])).
% 0.12/0.39 fof(f172,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ11_spl)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f128])).
% 0.12/0.39 fof(f173,plain,(
% 0.12/0.39 ~inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f134,f78])).
% 0.12/0.39 fof(f174,plain,(
% 0.12/0.39 ~inverse(sk_c2)=sk_c7|~sQ13_spl|~sQ10_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f134,f118])).
% 0.12/0.39 fof(f178,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f82,f173])).
% 0.12/0.39 fof(f179,plain,(
% 0.12/0.39 $false|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f178])).
% 0.12/0.39 fof(f180,plain,(
% 0.12/0.39 ~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f179])).
% 0.12/0.39 fof(f183,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c1)=identity|~sQ9_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f108,f34])).
% 0.12/0.39 fof(f184,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f34,f35])).
% 0.12/0.39 fof(f185,plain,(
% 0.12/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f33,f184])).
% 0.12/0.39 fof(f193,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f185,f185])).
% 0.12/0.39 fof(f194,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f34,f185])).
% 0.12/0.39 fof(f198,plain,(
% 0.12/0.39 sk_c8=multiply(inverse(sk_c7),sk_c9)|~sQ0_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f67,f185])).
% 0.12/0.39 fof(f200,plain,(
% 0.12/0.39 sk_c9=multiply(inverse(sk_c5),sk_c6)|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f90,f185])).
% 0.12/0.39 fof(f201,plain,(
% 0.12/0.39 sk_c2=multiply(inverse(sk_c1),sk_c8)|~sQ8_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f98,f185])).
% 0.12/0.39 fof(f202,plain,(
% 0.12/0.39 sk_c1=multiply(inverse(sk_c2),identity)|~sQ9_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f183,f185])).
% 0.12/0.39 fof(f203,plain,(
% 0.12/0.39 sk_c7=multiply(inverse(sk_c2),sk_c8)|~sQ10_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f118,f185])).
% 0.12/0.39 fof(f205,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c9,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f94,f200])).
% 0.12/0.39 fof(f206,plain,(
% 0.12/0.39 sk_c2=multiply(sk_c2,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f108,f201])).
% 0.12/0.39 fof(f215,plain,(
% 0.12/0.39 sk_c6=multiply(inverse(sk_c9),sk_c9)|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f205,f185])).
% 0.12/0.39 fof(f217,plain,(
% 0.12/0.39 sk_c6=identity|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f215])).
% 0.12/0.39 fof(f221,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ7_spl|~sQ6_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f217,f34])).
% 0.12/0.39 fof(f250,plain,(
% 0.12/0.39 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c2,sk_c7)=sk_c8|~sQ11_spl|~sQ9_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f108,f172])).
% 0.12/0.39 fof(f251,definition,(
% 0.12/0.39 sQ20_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f253,plain,(
% 0.12/0.39 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|sQ20_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f251])).
% 0.12/0.39 fof(f254,plain,(
% 0.12/0.39 ~sQ20_spl|~sQ10_spl|~sQ11_spl|~sQ9_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f250,f251,f117,f127,f107])).
% 0.12/0.39 fof(f255,plain,(
% 0.12/0.39 ~multiply(sk_c1,sk_c2)=sk_c8|~sQ9_spl|sQ20_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f108,f253])).
% 0.12/0.39 fof(f256,plain,(
% 0.12/0.39 ~sk_c8=sk_c8|~sQ8_spl|~sQ9_spl|sQ20_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f98,f255])).
% 0.12/0.39 fof(f257,plain,(
% 0.12/0.39 $false|~sQ8_spl|~sQ9_spl|sQ20_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f256])).
% 0.12/0.39 fof(f258,plain,(
% 0.12/0.39 ~sQ8_spl|~sQ9_spl|sQ20_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f257])).
% 0.12/0.39 fof(f266,plain,(
% 0.12/0.39 sk_c9=multiply(inverse(sk_c3),sk_c8)|~sQ1_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f70,f185])).
% 0.12/0.39 fof(f268,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f74,f266])).
% 0.12/0.39 fof(f282,plain,(
% 0.12/0.39 sk_c9=sk_c7|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f205,f86])).
% 0.12/0.39 fof(f285,plain,(
% 0.12/0.39 ~multiply(sk_c9,sk_c8)=sk_c9|~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f282,f68])).
% 0.12/0.39 fof(f305,plain,(
% 0.12/0.39 $false|~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f268,f285])).
% 0.12/0.39 fof(f306,plain,(
% 0.12/0.39 ~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f305])).
% 0.12/0.39 fof(f311,plain,(
% 0.12/0.39 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f282,f198])).
% 0.12/0.39 fof(f312,plain,(
% 0.12/0.39 sk_c8=sk_c6|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f221,f311])).
% 0.12/0.39 fof(f322,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c9)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f282,f172])).
% 0.12/0.39 fof(f344,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c9)=sk_c8|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f312,f322])).
% 0.12/0.39 fof(f345,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c9)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f312,f344])).
% 0.12/0.39 fof(f363,definition,(
% 0.12/0.39 sQ24_spl <=> (sk_c6=sk_c6)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f365,plain,(
% 0.12/0.39 ~sk_c6=sk_c6|sQ24_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f363])).
% 0.12/0.39 fof(f391,plain,(
% 0.12/0.39 $false|sQ24_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f365])).
% 0.12/0.39 fof(f392,plain,(
% 0.12/0.39 sQ24_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f391])).
% 0.12/0.39 fof(f407,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f34,f185])).
% 0.12/0.39 fof(f424,plain,(
% 0.12/0.39 sk_c2=multiply(inverse(sk_c1),sk_c8)|~sQ8_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f98,f185])).
% 0.12/0.39 fof(f427,plain,(
% 0.12/0.39 sk_c8=multiply(inverse(sk_c2),sk_c2)|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f206,f185])).
% 0.12/0.39 fof(f429,plain,(
% 0.12/0.39 sk_c8=identity|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f427])).
% 0.12/0.39 fof(f432,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ9_spl|~sQ8_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f429,f34])).
% 0.12/0.39 fof(f460,plain,(
% 0.12/0.39 ~inverse(inverse(sk_c9))=sk_c9|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f131,f432])).
% 0.12/0.39 fof(f461,plain,(
% 0.12/0.39 ~inverse(sk_c3)=sk_c9|~sQ12_spl|~sQ1_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f131,f70])).
% 0.12/0.39 fof(f466,plain,(
% 0.12/0.39 ~sk_c9=sk_c9|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f74,f461])).
% 0.12/0.39 fof(f467,plain,(
% 0.12/0.39 $false|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f466])).
% 0.12/0.39 fof(f468,plain,(
% 0.12/0.39 ~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f467])).
% 0.12/0.39 fof(f516,plain,(
% 0.12/0.39 sk_c1=multiply(inverse(sk_c2),sk_c8)|~sQ8_spl|~sQ9_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f429,f202])).
% 0.12/0.39 fof(f523,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c1|~inverse(X0)=sk_c9|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ14_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f530,f140])).
% 0.12/0.39 fof(f530,plain,(
% 0.12/0.39 sk_c7=sk_c1|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f516,f203])).
% 0.12/0.39 fof(f706,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),sk_c6)|~sQ7_spl|~sQ6_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f217,f407])).
% 0.12/0.39 fof(f796,plain,(
% 0.12/0.39 sk_c2=multiply(inverse(sk_c1),sk_c6)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f312,f424])).
% 0.12/0.39 fof(f863,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(X0,sk_c6)|~sQ7_spl|~sQ6_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f193,f706])).
% 0.12/0.39 fof(f865,plain,(
% 0.12/0.39 ![X0]: (multiply(X0,inverse(X0))=sk_c6|~sQ7_spl|~sQ6_spl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f221,f193])).
% 0.12/0.39 fof(f957,plain,(
% 0.12/0.39 sk_c2=inverse(sk_c1)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f863,f796])).
% 0.12/0.39 fof(f972,plain,(
% 0.12/0.39 sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f957,f107,f93,f89,f85,f66,f97])).
% 0.12/0.39 fof(f976,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f193,f194])).
% 0.12/0.39 fof(f986,definition,(
% 0.12/0.39 sQ41_spl <=> (sk_c8=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f988,plain,(
% 0.12/0.39 ~sk_c8=sk_c8|sQ41_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f986])).
% 0.12/0.39 fof(f990,plain,(
% 0.12/0.39 $false|sQ41_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f988])).
% 0.12/0.39 fof(f991,plain,(
% 0.12/0.39 sQ41_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f990])).
% 0.12/0.39 fof(f992,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c9|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f530,f67])).
% 0.12/0.39 fof(f997,plain,(
% 0.12/0.39 sk_c1=sk_c9|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f998,f992])).
% 0.12/0.39 fof(f998,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(X0,sk_c8)|~sQ9_spl|~sQ8_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f429,f976])).
% 0.12/0.39 fof(f999,plain,(
% 0.12/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,sk_c8)|~sQ9_spl|~sQ8_spl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f193,f998])).
% 0.12/0.39 fof(f1007,plain,(
% 0.12/0.39 ![X0]: (inverse(inverse(X0))=X0|~sQ9_spl|~sQ8_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f998,f999])).
% 0.12/0.39 fof(f1040,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c1)=sk_c8|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f530,f118])).
% 0.12/0.39 fof(f1043,plain,(
% 0.12/0.39 sk_c1=multiply(inverse(sk_c2),sk_c8)|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f1040,f185])).
% 0.12/0.39 fof(f1046,plain,(
% 0.12/0.39 sk_c1=inverse(sk_c2)|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f998,f1043])).
% 0.12/0.39 fof(f1058,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ9_spl|~sQ8_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f429,f34])).
% 0.12/0.39 fof(f1106,plain,(
% 0.12/0.39 ~sk_c9=sk_c9|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f1007,f460])).
% 0.12/0.39 fof(f1107,plain,(
% 0.12/0.39 ~sk_c1=sk_c9|~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f997,f1106])).
% 0.12/0.39 fof(f1108,plain,(
% 0.12/0.39 ~sk_c1=sk_c1|~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f997,f1107])).
% 0.12/0.39 fof(f1109,plain,(
% 0.12/0.39 $false|~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f1108])).
% 0.12/0.39 fof(f1110,plain,(
% 0.12/0.39 ~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f1109])).
% 0.12/0.39 fof(f1124,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c1,multiply(X0,sk_c9))=sk_c1|~inverse(X0)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ14_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f997,f523])).
% 0.12/0.39 fof(f1125,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c1,multiply(X0,sk_c1))=sk_c1|~inverse(X0)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ14_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f997,f1124])).
% 0.12/0.39 fof(f1126,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c1,multiply(X0,sk_c1))=sk_c1|~inverse(X0)=sk_c1|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ14_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f997,f1125])).
% 0.12/0.39 fof(f1138,plain,(
% 0.12/0.39 ~multiply(sk_c1,sk_c8)=sk_c1|~inverse(inverse(sk_c1))=sk_c1|~sQ0_spl|~sQ10_spl|~sQ14_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f1058,f1126])).
% 0.12/0.39 fof(f1140,definition,(
% 0.12/0.39 sQ42_spl <=> (multiply(sk_c1,sk_c8)=sk_c1)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f1142,plain,(
% 0.12/0.39 ~multiply(sk_c1,sk_c8)=sk_c1|sQ42_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f1140])).
% 0.12/0.39 fof(f1154,definition,(
% 0.12/0.39 sQ46_spl <=> (inverse(inverse(sk_c1))=sk_c1)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f1156,plain,(
% 0.12/0.39 ~inverse(inverse(sk_c1))=sk_c1|sQ46_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f1154])).
% 0.12/0.39 fof(f1157,plain,(
% 0.12/0.39 ~sQ42_spl|~sQ46_spl|~sQ0_spl|~sQ10_spl|~sQ14_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f1138,f1140,f1154,f66,f117,f136,f107,f97])).
% 0.12/0.39 fof(f1158,plain,(
% 0.12/0.39 ~sk_c1=sk_c1|~sQ9_spl|~sQ8_spl|sQ42_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f998,f1142])).
% 0.12/0.39 fof(f1159,plain,(
% 0.12/0.39 $false|~sQ9_spl|~sQ8_spl|sQ42_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f1158])).
% 0.12/0.39 fof(f1160,plain,(
% 0.12/0.39 ~sQ9_spl|~sQ8_spl|sQ42_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f1159])).
% 0.12/0.39 fof(f1161,plain,(
% 0.12/0.39 ~sk_c1=sk_c1|~sQ9_spl|~sQ8_spl|sQ46_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f1007,f1156])).
% 0.12/0.39 fof(f1162,plain,(
% 0.12/0.39 $false|~sQ9_spl|~sQ8_spl|sQ46_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f1161])).
% 0.12/0.39 fof(f1163,plain,(
% 0.12/0.39 ~sQ9_spl|~sQ8_spl|sQ46_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f1162])).
% 0.12/0.39 fof(f1170,plain,(
% 0.12/0.39 ~sk_c1=sk_c7|~sQ8_spl|~sQ9_spl|~sQ13_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f1046,f174])).
% 0.12/0.39 fof(f1171,plain,(
% 0.12/0.39 ~sk_c1=sk_c1|~sQ8_spl|~sQ9_spl|~sQ13_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f530,f1170])).
% 0.12/0.39 fof(f1172,plain,(
% 0.12/0.39 $false|~sQ8_spl|~sQ9_spl|~sQ13_spl|~sQ10_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f1171])).
% 0.12/0.39 fof(f1173,plain,(
% 0.12/0.39 ~sQ8_spl|~sQ9_spl|~sQ13_spl|~sQ10_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f1172])).
% 0.12/0.39 fof(f1199,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ7_spl|~sQ6_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f217,f34])).
% 0.12/0.39 fof(f1282,plain,(
% 0.12/0.39 ![X0]: (~sk_c6=sk_c6|~multiply(inverse(X0),sk_c9)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f865,f345])).
% 0.12/0.39 fof(f1283,plain,(
% 0.12/0.39 ![X0]: (~multiply(inverse(X0),sk_c9)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f1282])).
% 0.12/0.39 fof(f1284,plain,(
% 0.12/0.39 $false|~sQ0_spl|~sQ5_spl|~sQ11_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f1283,f1199])).
% 0.12/0.39 fof(f1290,plain,(
% 0.12/0.39 ~sQ0_spl|~sQ5_spl|~sQ11_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f1284])).
% 0.12/0.39 fof(f1291,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f72,f76,f88,f92,f96,f100,f101,f102,f103,f104,f105,f106,f114,f115,f116,f120,f121,f122,f123,f124,f125,f126,f139,f171,f180,f254,f258,f306,f392,f468,f972,f991,f1110,f1157,f1160,f1163,f1173,f1290])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.061776 seconds
% 0.12/0.42 % CPU time: 0.220389 seconds
% 0.12/0.42 % Total memory used: 104.631 MB
% 0.12/0.42 % Net memory used: 104.370 MB
%------------------------------------------------------------------------------