%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP367-1 : 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 : n009.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 : GRP367-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n009.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:10:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % 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_c6,sk_c8) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 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_c6,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 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_c6,sk_c8) = sk_c7| multiply(sk_c5,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_c8,sk_c2) = sk_c7| multiply(sk_c7,sk_c8) = 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_c8,sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 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_c8,sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = 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_c8,sk_c2) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 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_c8,sk_c2) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 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_c8) = sk_c2| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 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_c8) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 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_c8) = sk_c2| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 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_c8) = sk_c2| inverse(sk_c5) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f18,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = 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(f22,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = 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_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c6) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 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_c3,sk_c6) = sk_c8| inverse(sk_c4) = 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_c3,sk_c6) = 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(f27,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c6) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 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_c3,sk_c6) = sk_c8| multiply(sk_c5,sk_c6) = 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 ( inverse(sk_c3) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c3) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c3) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c3) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c3) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,negated_conjecture,(
% 0.12/0.39 (![X3,X4,X5,X1,X2]: (( multiply(sk_c6,sk_c8) != sk_c7| multiply(sk_c8,X3) != sk_c7| multiply(X4,sk_c8) != X3| inverse(X4) != sk_c8| multiply(X5,sk_c6) != sk_c8| inverse(X5) != sk_c6| multiply(sk_c7,sk_c8) != sk_c6| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(X2,sk_c6) != sk_c7 ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f35,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(f36,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(f37,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(f38,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f42,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f43,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c7,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f50,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c5)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f56,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f61,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c6)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f62,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f64,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f67,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 ![X2]: (((![X1]: ((((![X5]: (((![X4]: ((![X3]: ((~multiply(sk_c6,sk_c8)=sk_c7|~multiply(sk_c8,X3)=sk_c7)|~multiply(X4,sk_c8)=X3))|~inverse(X4)=sk_c8))|~multiply(X5,sk_c6)=sk_c8)|~inverse(X5)=sk_c6))|~multiply(sk_c7,sk_c8)=sk_c6)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~inverse(X2)=sk_c7)|~multiply(X2,sk_c6)=sk_c7)),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~multiply(sk_c6,sk_c8)=sk_c7|~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~multiply(X2,sk_c6)=sk_c8|~inverse(X2)=sk_c6|~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.39 fof(f70,definition,(
% 0.12/0.39 sQ0_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f71,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c8)=sk_c7|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.39 fof(f72,plain,(
% 0.12/0.39 ~multiply(sk_c6,sk_c8)=sk_c7|sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.39 fof(f73,definition,(
% 0.12/0.39 sQ1_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=sk_c6|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.39 fof(f75,plain,(
% 0.12/0.39 ~multiply(sk_c7,sk_c8)=sk_c6|sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.12/0.39 fof(f77,definition,(
% 0.12/0.39 sQ2_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c8|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.39 fof(f80,plain,(
% 0.12/0.39 sQ0_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.12/0.39 fof(f81,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(f82,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.39 fof(f84,plain,(
% 0.12/0.39 sQ0_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.12/0.39 fof(f85,definition,(
% 0.12/0.39 sQ4_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c7|~sQ4_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.39 fof(f88,plain,(
% 0.12/0.39 sQ0_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.12/0.39 fof(f89,definition,(
% 0.12/0.39 sQ5_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f90,plain,(
% 0.12/0.39 multiply(sk_c5,sk_c6)=sk_c7|~sQ5_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.12/0.39 fof(f92,plain,(
% 0.12/0.39 sQ0_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.12/0.39 fof(f93,definition,(
% 0.12/0.39 sQ6_spl <=> (multiply(sk_c8,sk_c2)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c2)=sk_c7|~sQ6_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 sQ6_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.12/0.39 fof(f97,plain,(
% 0.12/0.39 sQ6_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 sQ6_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.12/0.39 fof(f99,plain,(
% 0.12/0.39 sQ6_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 sQ6_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.12/0.39 fof(f101,definition,(
% 0.12/0.39 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c2)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f102,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c2|~sQ7_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.39 fof(f104,plain,(
% 0.12/0.39 sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.12/0.39 fof(f105,plain,(
% 0.12/0.39 sQ7_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 sQ7_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.12/0.39 fof(f107,plain,(
% 0.12/0.39 sQ7_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.12/0.39 fof(f108,plain,(
% 0.12/0.39 sQ7_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.12/0.39 fof(f109,definition,(
% 0.12/0.39 sQ8_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f110,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|~sQ8_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 sQ8_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 sQ8_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 sQ8_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.12/0.39 fof(f115,plain,(
% 0.12/0.39 sQ8_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 sQ8_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.12/0.39 fof(f117,definition,(
% 0.12/0.39 sQ9_spl <=> (multiply(sk_c3,sk_c6)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f118,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c6)=sk_c8|~sQ9_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.39 fof(f120,plain,(
% 0.12/0.39 sQ9_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.12/0.39 fof(f121,plain,(
% 0.12/0.39 sQ9_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.12/0.39 fof(f122,plain,(
% 0.12/0.39 sQ9_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.12/0.39 fof(f123,plain,(
% 0.12/0.39 sQ9_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 sQ9_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.12/0.39 fof(f125,definition,(
% 0.12/0.39 sQ10_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f126,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c6|~sQ10_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.39 fof(f128,plain,(
% 0.12/0.39 sQ10_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.12/0.39 fof(f129,plain,(
% 0.12/0.39 sQ10_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.12/0.39 fof(f130,plain,(
% 0.12/0.39 sQ10_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.12/0.39 fof(f131,plain,(
% 0.12/0.39 sQ10_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.12/0.39 fof(f132,plain,(
% 0.12/0.39 sQ10_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.12/0.39 fof(f133,definition,(
% 0.12/0.39 ![X0,X1]: (sQ11_spl <=> (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f134,plain,(
% 0.12/0.39 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ11_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.39 fof(f136,definition,(
% 0.12/0.39 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c6)=sk_c8|~inverse(X2)=sk_c6))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f137,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c8|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.39 fof(f139,definition,(
% 0.12/0.39 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f140,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ13_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.12/0.39 fof(f142,definition,(
% 0.12/0.39 ![X4]: (sQ14_spl <=> (~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f143,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ14_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.12/0.39 fof(f145,plain,(
% 0.12/0.39 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 ~inverse(sk_c5)=sk_c7|~sQ14_spl|~sQ5_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f143,f90])).
% 0.12/0.39 fof(f147,plain,(
% 0.12/0.39 ~inverse(sk_c3)=sk_c7|~sk_c8=sk_c7|~sQ14_spl|~sQ9_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f118,f143])).
% 0.12/0.39 fof(f149,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.12/0.39 fof(f150,plain,(
% 0.12/0.39 $false|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f149])).
% 0.12/0.39 fof(f151,plain,(
% 0.12/0.39 ~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f150])).
% 0.12/0.39 fof(f152,plain,(
% 0.12/0.39 ~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f140,f82])).
% 0.12/0.39 fof(f154,plain,(
% 0.12/0.39 ~sk_c8=sk_c8|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f78,f152])).
% 0.12/0.39 fof(f155,plain,(
% 0.12/0.39 $false|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f154])).
% 0.12/0.39 fof(f156,plain,(
% 0.12/0.39 ~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f155])).
% 0.12/0.39 fof(f157,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.12/0.39 fof(f158,plain,(
% 0.12/0.39 ~inverse(sk_c3)=sk_c6|~sQ12_spl|~sQ9_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f137,f118])).
% 0.12/0.39 fof(f160,plain,(
% 0.12/0.39 ~sk_c7=sk_c8|~inverse(sk_c5)=sk_c6|~sQ12_spl|~sQ5_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f90,f137])).
% 0.12/0.39 fof(f161,plain,(
% 0.12/0.39 ~sk_c6=sk_c6|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f126,f158])).
% 0.12/0.39 fof(f162,plain,(
% 0.12/0.39 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f161])).
% 0.12/0.39 fof(f163,plain,(
% 0.12/0.39 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f162])).
% 0.12/0.39 fof(f170,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ5_spl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.12/0.39 fof(f175,plain,(
% 0.12/0.39 ~multiply(sk_c8,sk_c2)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ7_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f102,f157])).
% 0.12/0.39 fof(f183,plain,(
% 0.12/0.39 ~sQ6_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f175,f93,f109,f133,f101])).
% 0.12/0.39 fof(f189,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c1)=identity|~sQ8_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f110,f36])).
% 0.12/0.39 fof(f190,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c3)=identity|~sQ10_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.12/0.39 fof(f191,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.12/0.39 fof(f192,plain,(
% 0.12/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f35,f191])).
% 0.12/0.39 fof(f193,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ1_spl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.12/0.39 fof(f203,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f35,f192])).
% 0.12/0.39 fof(f209,plain,(
% 0.12/0.39 sk_c8=multiply(inverse(sk_c1),sk_c2)|~sQ7_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f102,f192])).
% 0.12/0.39 fof(f210,plain,(
% 0.12/0.39 sk_c6=multiply(inverse(sk_c3),sk_c8)|~sQ9_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f118,f192])).
% 0.12/0.39 fof(f214,plain,(
% 0.12/0.39 sk_c8=multiply(sk_c8,sk_c2)|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f110,f209])).
% 0.12/0.39 fof(f215,plain,(
% 0.12/0.39 sk_c8=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f94,f214])).
% 0.12/0.39 fof(f216,plain,(
% 0.12/0.39 sk_c6=multiply(sk_c6,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f126,f210])).
% 0.12/0.39 fof(f217,plain,(
% 0.12/0.39 sk_c6=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f71,f216])).
% 0.12/0.39 fof(f219,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c1)=identity|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f215,f189])).
% 0.12/0.39 fof(f224,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c7)=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f215,f71])).
% 0.12/0.39 fof(f225,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c2)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f215,f94])).
% 0.12/0.39 fof(f227,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c6)=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f215,f118])).
% 0.12/0.39 fof(f229,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f215,f110])).
% 0.12/0.39 fof(f230,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c3)=identity|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f217,f190])).
% 0.12/0.39 fof(f232,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f217,f126])).
% 0.12/0.39 fof(f242,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f203,f192])).
% 0.12/0.39 fof(f244,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c8|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f215,f140])).
% 0.12/0.39 fof(f245,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f215,f244])).
% 0.12/0.39 fof(f248,plain,(
% 0.12/0.39 ~inverse(inverse(identity))=sk_c7|~sk_c7=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f203,f245])).
% 0.12/0.39 fof(f250,plain,(
% 0.12/0.39 ~inverse(identity)=sk_c7|~sk_c7=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f35,f245])).
% 0.12/0.39 fof(f252,definition,(
% 0.12/0.39 sQ18_spl <=> (inverse(inverse(identity))=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f254,plain,(
% 0.12/0.39 ~inverse(inverse(identity))=sk_c7|sQ18_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f252])).
% 0.12/0.39 fof(f255,definition,(
% 0.12/0.39 sQ19_spl <=> (sk_c7=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f257,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|sQ19_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f255])).
% 0.12/0.39 fof(f258,plain,(
% 0.12/0.39 ~sQ18_spl|~sQ19_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f248,f252,f255,f93,f109,f101,f139])).
% 0.12/0.39 fof(f262,definition,(
% 0.12/0.39 sQ21_spl <=> (identity=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f264,plain,(
% 0.12/0.39 ~identity=sk_c7|sQ21_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f262])).
% 0.12/0.39 fof(f266,definition,(
% 0.12/0.39 sQ22_spl <=> (inverse(identity)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f268,plain,(
% 0.12/0.39 ~inverse(identity)=sk_c7|sQ22_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f266])).
% 0.12/0.39 fof(f269,plain,(
% 0.12/0.39 ~sQ22_spl|~sQ19_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f250,f266,f255,f93,f109,f101,f139])).
% 0.12/0.39 fof(f270,plain,(
% 0.12/0.39 $false|sQ19_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f257])).
% 0.12/0.39 fof(f271,plain,(
% 0.12/0.39 sQ19_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f270])).
% 0.12/0.39 fof(f272,plain,(
% 0.12/0.39 ~multiply(sk_c7,sk_c7)=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f215,f75])).
% 0.12/0.39 fof(f273,plain,(
% 0.12/0.39 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f217,f272])).
% 0.12/0.39 fof(f274,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c7)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f217,f224])).
% 0.12/0.39 fof(f275,plain,(
% 0.12/0.39 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f274,f192])).
% 0.12/0.39 fof(f277,plain,(
% 0.12/0.39 sk_c7=identity|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f36,f275])).
% 0.12/0.39 fof(f278,plain,(
% 0.12/0.39 sk_c2=multiply(inverse(sk_c7),sk_c7)|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f225,f192])).
% 0.12/0.39 fof(f280,plain,(
% 0.12/0.39 sk_c2=identity|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f36,f278])).
% 0.12/0.39 fof(f283,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f277,f35])).
% 0.12/0.39 fof(f284,plain,(
% 0.12/0.39 sk_c7=sk_c2|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f280,f277])).
% 0.12/0.39 fof(f287,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c2|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f284,f232])).
% 0.12/0.39 fof(f288,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f284,f229])).
% 0.12/0.39 fof(f289,plain,(
% 0.12/0.39 sk_c6=sk_c2|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f284,f217])).
% 0.12/0.39 fof(f290,plain,(
% 0.12/0.39 sk_c8=sk_c2|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f284,f215])).
% 0.12/0.39 fof(f298,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f284,f283])).
% 0.12/0.39 fof(f301,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(sk_c2,multiply(sk_c3,X0))|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f287,f192])).
% 0.12/0.39 fof(f302,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(sk_c3,X0)|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f298,f301])).
% 0.12/0.39 fof(f303,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(sk_c2,multiply(sk_c1,X0))|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f288,f192])).
% 0.12/0.39 fof(f304,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(sk_c1,X0)|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f298,f303])).
% 0.12/0.39 fof(f312,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c1)=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f284,f219])).
% 0.12/0.39 fof(f313,plain,(
% 0.12/0.39 sk_c2=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f314,f280])).
% 0.12/0.39 fof(f314,plain,(
% 0.12/0.39 sk_c1=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f298,f312])).
% 0.12/0.39 fof(f317,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c1|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f313,f287])).
% 0.12/0.39 fof(f319,plain,(
% 0.12/0.39 sk_c8=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f313,f290])).
% 0.12/0.39 fof(f320,plain,(
% 0.12/0.39 sk_c6=sk_c1|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f313,f289])).
% 0.12/0.39 fof(f322,plain,(
% 0.12/0.39 sk_c6=sk_c7|~sQ0_spl|~sQ10_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f302,f227])).
% 0.12/0.39 fof(f323,plain,(
% 0.12/0.39 sk_c1=sk_c7|~sQ0_spl|~sQ10_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f320,f322])).
% 0.12/0.39 fof(f337,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c3)=identity|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f323,f230])).
% 0.12/0.39 fof(f338,plain,(
% 0.12/0.39 sk_c1=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f339,f314])).
% 0.12/0.39 fof(f339,plain,(
% 0.12/0.39 sk_c3=identity|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f304,f337])).
% 0.12/0.39 fof(f340,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c3|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f338,f317])).
% 0.12/0.39 fof(f343,plain,(
% 0.12/0.39 sk_c3=sk_c7|~sQ0_spl|~sQ10_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f338,f323])).
% 0.12/0.39 fof(f345,plain,(
% 0.12/0.39 sk_c8=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f338,f319])).
% 0.12/0.39 fof(f354,plain,(
% 0.12/0.39 ~multiply(sk_c3,sk_c7)=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f343,f273])).
% 0.12/0.39 fof(f355,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f302,f354])).
% 0.12/0.39 fof(f356,plain,(
% 0.12/0.39 ~sk_c3=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f343,f355])).
% 0.12/0.39 fof(f357,plain,(
% 0.12/0.39 ~sk_c3=sk_c3|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f343,f356])).
% 0.12/0.39 fof(f358,plain,(
% 0.12/0.39 $false|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f357])).
% 0.12/0.39 fof(f359,plain,(
% 0.12/0.39 ~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f358])).
% 0.12/0.39 fof(f360,plain,(
% 0.12/0.39 ~inverse(inverse(sk_c3))=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ18_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f339,f254])).
% 0.12/0.39 fof(f361,plain,(
% 0.12/0.39 ~inverse(sk_c3)=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ18_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f340,f360])).
% 0.12/0.39 fof(f362,plain,(
% 0.12/0.39 ~sk_c3=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ18_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f340,f361])).
% 0.12/0.39 fof(f363,plain,(
% 0.12/0.39 ~sk_c3=sk_c3|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ18_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f343,f362])).
% 0.12/0.39 fof(f364,plain,(
% 0.12/0.39 $false|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ18_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f363])).
% 0.12/0.39 fof(f365,plain,(
% 0.12/0.39 ~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ18_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f364])).
% 0.12/0.39 fof(f384,definition,(
% 0.12/0.39 sQ23_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f386,plain,(
% 0.12/0.39 ~inverse(sk_c3)=sk_c7|sQ23_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f384])).
% 0.12/0.39 fof(f387,definition,(
% 0.12/0.39 sQ24_spl <=> (sk_c8=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f389,plain,(
% 0.12/0.39 ~sk_c8=sk_c7|sQ24_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f387])).
% 0.12/0.39 fof(f390,plain,(
% 0.12/0.39 ~sQ23_spl|~sQ24_spl|~sQ14_spl|~sQ9_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f147,f384,f387,f142,f117])).
% 0.12/0.39 fof(f393,plain,(
% 0.12/0.39 ~sk_c3=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ23_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f340,f386])).
% 0.12/0.39 fof(f394,plain,(
% 0.12/0.39 ~sk_c3=sk_c3|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ23_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f343,f393])).
% 0.12/0.39 fof(f395,plain,(
% 0.12/0.39 $false|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ23_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f394])).
% 0.12/0.39 fof(f396,plain,(
% 0.12/0.39 ~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ23_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f395])).
% 0.12/0.39 fof(f397,plain,(
% 0.12/0.39 ~sk_c3=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ24_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f345,f389])).
% 0.12/0.39 fof(f398,plain,(
% 0.12/0.39 ~sk_c3=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ24_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f343,f397])).
% 0.12/0.39 fof(f399,plain,(
% 0.12/0.39 $false|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ24_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f398])).
% 0.12/0.39 fof(f400,plain,(
% 0.12/0.39 ~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ24_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f399])).
% 0.12/0.39 fof(f402,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~sQ2_spl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f78,f192])).
% 0.12/0.39 fof(f405,plain,(
% 0.12/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f192,f203])).
% 0.12/0.39 fof(f411,plain,(
% 0.12/0.39 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ3_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f82,f192])).
% 0.12/0.39 fof(f413,plain,(
% 0.12/0.39 sk_c7=multiply(sk_c8,sk_c8)|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f78,f411])).
% 0.12/0.39 fof(f414,plain,(
% 0.12/0.39 sk_c6=multiply(inverse(sk_c5),sk_c7)|~sQ5_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f90,f192])).
% 0.12/0.39 fof(f416,plain,(
% 0.12/0.39 sk_c6=multiply(sk_c7,sk_c7)|~sQ4_spl|~sQ5_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f86,f414])).
% 0.12/0.39 fof(f455,plain,(
% 0.12/0.39 inverse(identity)=identity),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f36,f242])).
% 0.12/0.39 fof(f463,plain,(
% 0.12/0.39 ~identity=sk_c7|sQ22_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f455,f268])).
% 0.12/0.39 fof(f485,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c8)=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f413,f193])).
% 0.12/0.39 fof(f489,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c8)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f416,f485])).
% 0.12/0.39 fof(f492,plain,(
% 0.12/0.39 ~sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f489,f72])).
% 0.12/0.39 fof(f493,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=multiply(sk_c5,sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f489,f170])).
% 0.12/0.39 fof(f494,plain,(
% 0.12/0.39 sk_c8=multiply(inverse(sk_c6),sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f489,f192])).
% 0.12/0.39 fof(f496,plain,(
% 0.12/0.39 sk_c6=multiply(sk_c5,sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f74,f493])).
% 0.12/0.39 fof(f497,plain,(
% 0.12/0.39 sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f90,f496])).
% 0.12/0.39 fof(f498,plain,(
% 0.12/0.39 sk_c8=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f36,f494])).
% 0.12/0.39 fof(f499,plain,(
% 0.12/0.39 $false|sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f497,f492])).
% 0.12/0.39 fof(f500,plain,(
% 0.12/0.39 sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f499])).
% 0.12/0.39 fof(f506,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c8,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f498,f405])).
% 0.12/0.39 fof(f507,plain,(
% 0.12/0.39 ~sk_c8=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ21_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f498,f264])).
% 0.12/0.39 fof(f519,plain,(
% 0.12/0.39 ~sk_c8=sk_c7|~inverse(sk_c4)=sk_c8|~sQ11_spl|~sQ2_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f402,f157])).
% 0.12/0.39 fof(f522,plain,(
% 0.12/0.39 ~sQ24_spl|~sQ2_spl|~sQ11_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f519,f387,f77,f133])).
% 0.12/0.39 fof(f530,plain,(
% 0.12/0.39 sk_c7=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f506,f413])).
% 0.12/0.40 fof(f536,plain,(
% 0.12/0.40 $false|sQ21_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f530,f507])).
% 0.12/0.40 fof(f537,plain,(
% 0.12/0.40 sQ21_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f536])).
% 0.12/0.40 fof(f540,plain,(
% 0.12/0.40 ~sQ21_spl|sQ22_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f463,f262,f266])).
% 0.12/0.40 fof(f549,definition,(
% 0.12/0.40 sQ26_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f551,plain,(
% 0.12/0.40 ~inverse(sk_c5)=sk_c6|sQ26_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f549])).
% 0.12/0.40 fof(f552,plain,(
% 0.12/0.40 ~sQ24_spl|~sQ26_spl|~sQ12_spl|~sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f160,f387,f549,f136,f89])).
% 0.12/0.40 fof(f575,plain,(
% 0.12/0.40 $false|sQ24_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f530,f389])).
% 0.12/0.40 fof(f576,plain,(
% 0.12/0.40 sQ24_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f575])).
% 0.12/0.40 fof(f596,plain,(
% 0.12/0.40 ~sk_c7=sk_c6|~sQ4_spl|sQ26_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f86,f551])).
% 0.12/0.40 fof(f597,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ26_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f497,f596])).
% 0.12/0.40 fof(f598,plain,(
% 0.12/0.40 $false|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ26_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f597])).
% 0.12/0.40 fof(f599,plain,(
% 0.12/0.40 ~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ26_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f598])).
% 0.12/0.40 fof(f600,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f151,f156,f163,f183,f258,f269,f271,f359,f365,f390,f396,f400,f500,f522,f537,f540,f552,f576,f599])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.052752 seconds
% 0.12/0.40 % CPU time: 0.186720 seconds
% 0.12/0.40 % Total memory used: 103.869 MB
% 0.12/0.40 % Net memory used: 103.682 MB
%------------------------------------------------------------------------------