%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP265-1 : 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 : n011.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 12:36:21 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP265-1 : 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 : n011.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 20:07:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f6,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f7,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f10,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f17,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f20,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f21,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f22,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f23,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f24,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f27,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f28,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f29,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f30,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f31,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f32,negated_conjecture,(
% 0.12/0.40 (![X3,X4,X1,X2,X5,X6]: (( multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(X4,sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(sk_c7,X5) != sk_c8| multiply(X6,sk_c7) != X5| inverse(X6) != sk_c7 ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f33,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f34,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f35,plain,(
% 0.12/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f36,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f37,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f38,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.40 fof(f39,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f40,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f41,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f42,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.40 fof(f43,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f44,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f45,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.40 fof(f46,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f47,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c7,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f48,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f49,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.40 fof(f52,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.40 fof(f53,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.40 fof(f54,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.40 fof(f55,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.40 fof(f56,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.40 fof(f60,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.40 fof(f62,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.40 fof(f63,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.40 fof(f64,plain,(
% 0.12/0.40 ![X6]: ((![X5]: (((![X2]: (((![X1]: (((![X4]: (((![X3]: (~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9))|~multiply(X4,sk_c8)=sk_c7)|~inverse(X4)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c7)=sk_c8)|~inverse(X2)=sk_c7))|~multiply(sk_c7,X5)=sk_c8)|~multiply(X6,sk_c7)=X5))|~inverse(X6)=sk_c7)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f32])).
% 0.12/0.40 fof(f65,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(sk_c7,X4)=sk_c8|~multiply(X5,sk_c7)=X4|~inverse(X5)=sk_c7)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/0.40 fof(f66,definition,(
% 0.12/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f67,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|~sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f66])).
% 0.12/0.40 fof(f69,definition,(
% 0.12/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f70,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c9)=sk_c8|~sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f69])).
% 0.12/0.40 fof(f72,plain,(
% 0.12/0.40 sQ0_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f36,f66,f69])).
% 0.12/0.40 fof(f73,definition,(
% 0.12/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f74,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c9|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.40 fof(f76,plain,(
% 0.12/0.40 sQ0_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f37,f66,f73])).
% 0.12/0.40 fof(f77,definition,(
% 0.12/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f78,plain,(
% 0.12/0.40 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.40 fof(f80,plain,(
% 0.12/0.40 sQ0_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f38,f66,f77])).
% 0.12/0.40 fof(f81,definition,(
% 0.12/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f82,plain,(
% 0.12/0.40 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.40 fof(f84,plain,(
% 0.12/0.40 sQ0_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f39,f66,f81])).
% 0.12/0.40 fof(f85,definition,(
% 0.12/0.40 sQ5_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f86,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c6)=sk_c8|~sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.40 fof(f88,plain,(
% 0.12/0.40 sQ0_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f40,f66,f85])).
% 0.12/0.40 fof(f89,definition,(
% 0.12/0.40 sQ6_spl <=> (multiply(sk_c5,sk_c7)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f90,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c7)=sk_c6|~sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.12/0.40 fof(f92,plain,(
% 0.12/0.40 sQ0_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f41,f66,f89])).
% 0.12/0.40 fof(f93,definition,(
% 0.12/0.40 sQ7_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f94,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c7|~sQ7_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.40 fof(f96,plain,(
% 0.12/0.40 sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f42,f66,f93])).
% 0.12/0.40 fof(f97,definition,(
% 0.12/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f98,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|~sQ8_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.40 fof(f100,plain,(
% 0.12/0.40 sQ8_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f43,f97,f69])).
% 0.12/0.40 fof(f101,plain,(
% 0.12/0.40 sQ8_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.12/0.40 fof(f102,plain,(
% 0.12/0.40 sQ8_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.12/0.40 fof(f103,plain,(
% 0.12/0.40 sQ8_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.12/0.40 fof(f104,plain,(
% 0.12/0.40 sQ8_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.12/0.40 fof(f105,plain,(
% 0.12/0.40 sQ8_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.12/0.40 fof(f106,plain,(
% 0.12/0.40 sQ8_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.12/0.40 fof(f107,definition,(
% 0.12/0.40 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f108,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c8)=sk_c7|~sQ9_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.12/0.40 fof(f112,plain,(
% 0.12/0.40 sQ9_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f52,f107,f77])).
% 0.12/0.40 fof(f113,plain,(
% 0.12/0.40 sQ9_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f53,f107,f81])).
% 0.12/0.40 fof(f114,plain,(
% 0.12/0.40 sQ9_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f54,f107,f85])).
% 0.12/0.40 fof(f115,plain,(
% 0.12/0.40 sQ9_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f55,f107,f89])).
% 0.12/0.40 fof(f116,plain,(
% 0.12/0.40 sQ9_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f56,f107,f93])).
% 0.12/0.40 fof(f117,definition,(
% 0.12/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f118,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 sQ10_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.12/0.40 fof(f123,plain,(
% 0.12/0.40 sQ10_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.12/0.40 fof(f124,plain,(
% 0.12/0.40 sQ10_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.12/0.40 fof(f125,plain,(
% 0.12/0.40 sQ10_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.12/0.40 fof(f126,plain,(
% 0.12/0.40 sQ10_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f63,f117,f93])).
% 0.12/0.40 fof(f127,definition,(
% 0.12/0.40 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f128,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ11_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f127])).
% 0.12/0.40 fof(f130,definition,(
% 0.12/0.40 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f131,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f130])).
% 0.12/0.40 fof(f133,definition,(
% 0.12/0.40 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.40 fof(f136,definition,(
% 0.12/0.40 ![X4,X5]: (sQ14_spl <=> (~multiply(sk_c7,X4)=sk_c8|~multiply(X5,sk_c7)=X4|~inverse(X5)=sk_c7))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f137,plain,(
% 0.12/0.40 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c8|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ14_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.40 fof(f139,plain,(
% 0.12/0.40 sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f65,f127,f130,f133,f136])).
% 0.12/0.40 fof(f140,plain,(
% 0.12/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c8|~inverse(X0)=sk_c7|~sQ14_spl)),
% 0.12/0.40 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.12/0.40 fof(f146,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~sQ0_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f67,f35])).
% 0.12/0.40 fof(f166,plain,(
% 0.12/0.40 ~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c5)=sk_c7|~sQ14_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f90,f140])).
% 0.12/0.40 fof(f178,plain,(
% 0.12/0.40 ~sQ5_spl|~sQ7_spl|~sQ14_spl|~sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f166,f85,f93,f136,f89])).
% 0.12/0.40 fof(f180,plain,(
% 0.12/0.40 ~sk_c6=sk_c8|~inverse(sk_c5)=sk_c7|~sQ13_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f90,f134])).
% 0.12/0.40 fof(f181,definition,(
% 0.12/0.40 sQ18_spl <=> (sk_c6=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f183,plain,(
% 0.12/0.40 ~sk_c6=sk_c8|sQ18_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f181])).
% 0.12/0.40 fof(f184,plain,(
% 0.12/0.40 ~sQ18_spl|~sQ7_spl|~sQ13_spl|~sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f180,f181,f93,f133,f89])).
% 0.12/0.40 fof(f190,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f118,f34])).
% 0.12/0.40 fof(f191,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f34,f35])).
% 0.12/0.40 fof(f192,plain,(
% 0.12/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f33,f191])).
% 0.12/0.40 fof(f204,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c2,X0))|~sQ10_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f190,f35])).
% 0.12/0.40 fof(f205,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c8,multiply(sk_c2,X0))|~sQ10_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f33,f204])).
% 0.12/0.40 fof(f216,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ3_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f78,f192])).
% 0.12/0.40 fof(f223,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c5),sk_c6)|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f90,f192])).
% 0.12/0.40 fof(f224,plain,(
% 0.12/0.40 sk_c9=multiply(inverse(sk_c1),sk_c8)|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f67,f192])).
% 0.12/0.40 fof(f225,plain,(
% 0.12/0.40 sk_c8=multiply(inverse(sk_c2),sk_c7)|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f108,f192])).
% 0.12/0.40 fof(f227,plain,(
% 0.12/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f82,f216])).
% 0.12/0.40 fof(f230,plain,(
% 0.12/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f94,f223])).
% 0.12/0.40 fof(f231,plain,(
% 0.12/0.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ8_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f98,f224])).
% 0.12/0.40 fof(f232,plain,(
% 0.12/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f118,f225])).
% 0.12/0.40 fof(f236,plain,(
% 0.12/0.40 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ12_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f34,f131])).
% 0.12/0.40 fof(f237,plain,(
% 0.12/0.40 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ12_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f33,f131])).
% 0.12/0.40 fof(f239,definition,(
% 0.12/0.40 sQ19_spl <=> (identity=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f241,plain,(
% 0.12/0.40 ~identity=sk_c7|sQ19_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f239])).
% 0.12/0.40 fof(f242,definition,(
% 0.12/0.40 sQ20_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f245,plain,(
% 0.12/0.40 ~sQ19_spl|~sQ20_spl|~sQ12_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f236,f239,f242,f130])).
% 0.12/0.40 fof(f246,definition,(
% 0.12/0.40 sQ21_spl <=> (sk_c8=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f248,plain,(
% 0.12/0.40 ~sk_c8=sk_c7|sQ21_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f246])).
% 0.12/0.40 fof(f249,definition,(
% 0.12/0.40 sQ22_spl <=> (inverse(identity)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f252,plain,(
% 0.12/0.40 ~sQ21_spl|~sQ22_spl|~sQ12_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f237,f246,f249,f130])).
% 0.12/0.40 fof(f256,plain,(
% 0.12/0.40 sk_c8=multiply(inverse(sk_c7),sk_c7)|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f227,f192])).
% 0.12/0.40 fof(f258,plain,(
% 0.12/0.40 sk_c8=identity|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f34,f256])).
% 0.12/0.40 fof(f260,plain,(
% 0.12/0.40 ~sk_c8=sk_c7|~sQ4_spl|~sQ3_spl|sQ19_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f258,f241])).
% 0.12/0.40 fof(f267,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f258,f33])).
% 0.12/0.40 fof(f268,plain,(
% 0.12/0.40 ~inverse(sk_c3)=sk_c9|~sQ11_spl|~sQ1_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f128,f70])).
% 0.12/0.40 fof(f272,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|~inverse(sk_c1)=sk_c9|~sQ11_spl|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f67,f128])).
% 0.12/0.40 fof(f273,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f74,f268])).
% 0.12/0.40 fof(f274,plain,(
% 0.12/0.40 $false|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f273])).
% 0.12/0.40 fof(f275,plain,(
% 0.12/0.40 ~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f274])).
% 0.12/0.40 fof(f286,plain,(
% 0.12/0.40 sk_c7=sk_c8|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f230,f86])).
% 0.12/0.40 fof(f289,plain,(
% 0.12/0.40 $false|sQ21_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f286,f248])).
% 0.12/0.40 fof(f290,plain,(
% 0.12/0.40 sQ21_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f289])).
% 0.12/0.40 fof(f291,plain,(
% 0.12/0.40 ~sQ21_spl|~sQ4_spl|~sQ3_spl|sQ19_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f260,f246,f81,f77,f239])).
% 0.12/0.40 fof(f294,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f286,f267])).
% 0.12/0.40 fof(f299,plain,(
% 0.12/0.40 ~sk_c6=sk_c7|~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ18_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f286,f183])).
% 0.12/0.40 fof(f311,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f286,f131])).
% 0.12/0.40 fof(f312,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f286,f311])).
% 0.12/0.40 fof(f316,plain,(
% 0.12/0.40 ~sk_c6=sk_c7|~inverse(sk_c5)=sk_c7|~sQ7_spl|~sQ5_spl|~sQ12_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f90,f312])).
% 0.12/0.40 fof(f317,definition,(
% 0.12/0.40 sQ23_spl <=> (sk_c7=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f319,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|sQ23_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f317])).
% 0.12/0.40 fof(f324,definition,(
% 0.12/0.40 sQ25_spl <=> (sk_c6=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f326,plain,(
% 0.12/0.40 ~sk_c6=sk_c7|sQ25_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f324])).
% 0.12/0.40 fof(f327,plain,(
% 0.12/0.40 ~sQ25_spl|~sQ7_spl|~sQ5_spl|~sQ12_spl|~sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f316,f324,f93,f85,f130,f89])).
% 0.12/0.40 fof(f330,plain,(
% 0.12/0.40 sk_c7=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f294,f230])).
% 0.12/0.40 fof(f333,plain,(
% 0.12/0.40 $false|sQ18_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f330,f299])).
% 0.12/0.40 fof(f334,plain,(
% 0.12/0.40 sQ18_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f333])).
% 0.12/0.40 fof(f337,plain,(
% 0.12/0.40 $false|sQ23_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f319])).
% 0.12/0.40 fof(f338,plain,(
% 0.12/0.40 sQ23_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f337])).
% 0.12/0.40 fof(f341,plain,(
% 0.12/0.40 $false|sQ25_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f330,f326])).
% 0.12/0.40 fof(f342,plain,(
% 0.12/0.40 sQ25_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f341])).
% 0.12/0.40 fof(f343,definition,(
% 0.12/0.40 sQ26_spl <=> (sk_c8=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f345,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|sQ26_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f343])).
% 0.12/0.40 fof(f346,plain,(
% 0.12/0.40 ~sQ26_spl|~sQ8_spl|~sQ11_spl|~sQ0_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f272,f343,f97,f127,f66])).
% 0.12/0.40 fof(f348,plain,(
% 0.12/0.40 $false|sQ26_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f345])).
% 0.12/0.40 fof(f349,plain,(
% 0.12/0.40 sQ26_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f348])).
% 0.12/0.40 fof(f375,plain,(
% 0.12/0.40 ~multiply(sk_c7,sk_c7)=sk_c8|~inverse(identity)=sk_c7|~sQ14_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f33,f140])).
% 0.12/0.40 fof(f377,definition,(
% 0.12/0.40 sQ27_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f379,plain,(
% 0.12/0.40 ~inverse(sk_c8)=sk_c7|sQ27_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f377])).
% 0.12/0.40 fof(f381,definition,(
% 0.12/0.40 sQ28_spl <=> (multiply(sk_c7,sk_c7)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f383,plain,(
% 0.12/0.40 ~multiply(sk_c7,sk_c7)=sk_c8|sQ28_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f381])).
% 0.12/0.40 fof(f384,definition,(
% 0.12/0.40 sQ29_spl <=> (inverse(identity)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f386,plain,(
% 0.12/0.40 ~inverse(identity)=sk_c7|sQ29_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f384])).
% 0.12/0.40 fof(f387,plain,(
% 0.12/0.40 ~sQ28_spl|~sQ29_spl|~sQ14_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f375,f381,f384,f136])).
% 0.12/0.40 fof(f395,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f131,f108])).
% 0.12/0.40 fof(f401,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f118,f395])).
% 0.12/0.40 fof(f402,plain,(
% 0.12/0.40 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f401])).
% 0.12/0.40 fof(f403,plain,(
% 0.12/0.40 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f402])).
% 0.12/0.40 fof(f461,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c8)=multiply(sk_c1,sk_c9)|~sQ8_spl|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f231,f146])).
% 0.12/0.40 fof(f465,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c8)=sk_c8|~sQ8_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f67,f461])).
% 0.12/0.40 fof(f497,plain,(
% 0.12/0.40 sk_c8=multiply(inverse(sk_c8),sk_c8)|~sQ8_spl|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f465,f192])).
% 0.12/0.40 fof(f500,plain,(
% 0.12/0.40 sk_c8=identity|~sQ8_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f34,f497])).
% 0.12/0.40 fof(f506,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ8_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f500,f34])).
% 0.12/0.40 fof(f509,plain,(
% 0.12/0.40 ~inverse(sk_c8)=sk_c7|~sQ8_spl|~sQ0_spl|sQ29_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f500,f386])).
% 0.12/0.40 fof(f511,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ8_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f500,f33])).
% 0.12/0.40 fof(f514,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c2,X0)|~sQ8_spl|~sQ0_spl|~sQ10_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f511,f205])).
% 0.12/0.40 fof(f515,plain,(
% 0.12/0.40 sk_c8=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f511,f232])).
% 0.12/0.40 fof(f522,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f515,f511])).
% 0.12/0.40 fof(f525,plain,(
% 0.12/0.40 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ28_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f515,f383])).
% 0.12/0.40 fof(f526,plain,(
% 0.12/0.40 ~inverse(sk_c7)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ27_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f515,f379])).
% 0.12/0.40 fof(f534,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f515,f118])).
% 0.12/0.40 fof(f537,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f515,f506])).
% 0.12/0.40 fof(f548,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c2)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f534,f537])).
% 0.12/0.40 fof(f550,plain,(
% 0.12/0.40 sk_c2=sk_c7|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f522,f548])).
% 0.12/0.40 fof(f552,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f550,f534])).
% 0.12/0.40 fof(f556,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f550,f537])).
% 0.12/0.40 fof(f557,plain,(
% 0.12/0.40 sk_c8=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f550,f515])).
% 0.12/0.40 fof(f573,definition,(
% 0.12/0.40 sQ32_spl <=> (sk_c2=sk_c2)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f575,plain,(
% 0.12/0.40 ~sk_c2=sk_c2|sQ32_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f573])).
% 0.12/0.40 fof(f580,plain,(
% 0.12/0.40 $false|sQ32_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f575])).
% 0.12/0.40 fof(f581,plain,(
% 0.12/0.40 sQ32_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f580])).
% 0.12/0.40 fof(f589,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ27_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f550,f526])).
% 0.12/0.40 fof(f590,plain,(
% 0.12/0.40 ~sk_c2=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ27_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f552,f589])).
% 0.12/0.41 fof(f591,plain,(
% 0.12/0.41 ~sk_c2=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ27_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f550,f590])).
% 0.12/0.41 fof(f592,plain,(
% 0.12/0.41 $false|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ27_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f591])).
% 0.12/0.41 fof(f593,plain,(
% 0.12/0.41 ~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ27_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f592])).
% 0.12/0.41 fof(f605,plain,(
% 0.12/0.41 ~sQ27_spl|~sQ8_spl|~sQ0_spl|sQ29_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f509,f377,f97,f66,f384])).
% 0.12/0.41 fof(f611,plain,(
% 0.12/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c8|~inverse(X0)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ13_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f550,f134])).
% 0.12/0.41 fof(f612,plain,(
% 0.12/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ13_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f557,f611])).
% 0.12/0.41 fof(f613,plain,(
% 0.12/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ13_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f550,f612])).
% 0.12/0.41 fof(f640,plain,(
% 0.12/0.41 ~multiply(sk_c2,sk_c7)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ28_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f550,f525])).
% 0.12/0.41 fof(f641,plain,(
% 0.12/0.41 ~sk_c7=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ28_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f514,f640])).
% 0.12/0.41 fof(f642,plain,(
% 0.12/0.41 ~sk_c2=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ28_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f550,f641])).
% 0.12/0.41 fof(f643,plain,(
% 0.12/0.41 ~sk_c2=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ28_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f550,f642])).
% 0.12/0.41 fof(f644,plain,(
% 0.12/0.41 $false|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ28_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f643])).
% 0.12/0.41 fof(f645,plain,(
% 0.12/0.41 ~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ28_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f644])).
% 0.12/0.41 fof(f722,plain,(
% 0.12/0.41 ~inverse(inverse(sk_c2))=sk_c2|~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f613,f556])).
% 0.12/0.41 fof(f729,plain,(
% 0.12/0.41 ~inverse(sk_c2)=sk_c2|~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f552,f722])).
% 0.12/0.41 fof(f730,plain,(
% 0.12/0.41 ~sk_c2=sk_c2|~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f552,f729])).
% 0.12/0.41 fof(f731,plain,(
% 0.12/0.41 $false|~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f730])).
% 0.12/0.41 fof(f732,plain,(
% 0.12/0.41 ~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f731])).
% 0.12/0.41 fof(f733,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f72,f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f106,f112,f113,f114,f115,f116,f122,f123,f124,f125,f126,f139,f178,f184,f245,f252,f275,f290,f291,f327,f334,f338,f342,f346,f349,f387,f403,f581,f593,f605,f645,f732])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.065504 seconds
% 0.12/0.43 % CPU time: 0.205802 seconds
% 0.12/0.43 % Total memory used: 104.492 MB
% 0.12/0.43 % Net memory used: 104.260 MB
%------------------------------------------------------------------------------