%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP335-1 : 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 : n018.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 12:36:28 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP335-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:11:29 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42 fof(f1,axiom,(
% 0.11/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f2,axiom,(
% 0.11/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f3,axiom,(
% 0.11/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f4,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f5,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f6,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f7,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f8,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f9,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f10,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f11,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f12,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f13,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f14,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f15,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f17,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f18,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f19,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f20,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f21,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f22,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f23,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f24,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f25,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f26,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f27,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f28,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f29,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f30,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f31,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f32,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f33,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f34,negated_conjecture,(
% 0.11/0.42 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c7) != sk_c8| inverse(X4) != sk_c7| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f35,plain,(
% 0.11/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.42 fof(f36,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.42 fof(f37,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.42 fof(f38,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.42 fof(f39,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.42 fof(f40,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.42 fof(f41,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.42 fof(f42,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.42 fof(f43,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.42 fof(f44,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.42 fof(f45,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.42 fof(f46,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.42 fof(f47,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.42 fof(f48,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.42 fof(f49,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.42 fof(f51,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.42 fof(f52,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.42 fof(f53,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.42 fof(f54,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.42 fof(f55,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.42 fof(f56,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.42 fof(f57,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.42 fof(f58,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.42 fof(f59,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.42 fof(f60,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.42 fof(f61,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.42 fof(f62,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.42 fof(f63,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.42 fof(f64,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/0.42 fof(f65,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.11/0.42 fof(f66,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/0.42 fof(f67,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.11/0.42 fof(f68,plain,(
% 0.11/0.42 ![X5]: ((![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c7)=sk_c8)|~inverse(X4)=sk_c7))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.11/0.42 inference(miniscoping,[status(thm)],[f34])).
% 0.11/0.42 fof(f69,plain,(
% 0.11/0.42 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.11/0.42 fof(f70,definition,(
% 0.11/0.42 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f71,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f70])).
% 0.11/0.42 fof(f72,plain,(
% 0.11/0.42 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f70])).
% 0.11/0.42 fof(f73,definition,(
% 0.11/0.42 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f74,plain,(
% 0.11/0.42 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.11/0.42 fof(f75,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.11/0.42 fof(f76,plain,(
% 0.11/0.42 sQ0_spl|sQ1_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.11/0.42 fof(f77,definition,(
% 0.11/0.42 sQ2_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f78,plain,(
% 0.11/0.42 multiply(sk_c3,sk_c8)=sk_c7|~sQ2_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f77])).
% 0.11/0.42 fof(f80,plain,(
% 0.11/0.42 sQ0_spl|sQ2_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.11/0.42 fof(f81,definition,(
% 0.11/0.42 sQ3_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f82,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c8|~sQ3_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f81])).
% 0.11/0.42 fof(f84,plain,(
% 0.11/0.42 sQ0_spl|sQ3_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.11/0.42 fof(f85,definition,(
% 0.11/0.42 sQ4_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f86,plain,(
% 0.11/0.42 multiply(sk_c8,sk_c5)=sk_c7|~sQ4_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f85])).
% 0.11/0.42 fof(f88,plain,(
% 0.11/0.42 sQ0_spl|sQ4_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.11/0.42 fof(f89,definition,(
% 0.11/0.42 sQ5_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f90,plain,(
% 0.11/0.42 multiply(sk_c4,sk_c8)=sk_c5|~sQ5_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f89])).
% 0.11/0.42 fof(f92,plain,(
% 0.11/0.42 sQ0_spl|sQ5_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.11/0.42 fof(f93,definition,(
% 0.11/0.42 sQ6_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f94,plain,(
% 0.11/0.42 inverse(sk_c4)=sk_c8|~sQ6_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f93])).
% 0.11/0.42 fof(f96,plain,(
% 0.11/0.42 sQ0_spl|sQ6_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.11/0.42 fof(f97,definition,(
% 0.11/0.42 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f98,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c7)=sk_c6|~sQ7_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f97])).
% 0.11/0.42 fof(f100,plain,(
% 0.11/0.42 sQ7_spl|sQ1_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.11/0.42 fof(f101,plain,(
% 0.11/0.42 sQ7_spl|sQ2_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.11/0.42 fof(f102,plain,(
% 0.11/0.42 sQ7_spl|sQ3_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.11/0.42 fof(f103,plain,(
% 0.11/0.42 sQ7_spl|sQ4_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.11/0.42 fof(f104,plain,(
% 0.11/0.42 sQ7_spl|sQ5_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.11/0.42 fof(f105,plain,(
% 0.11/0.42 sQ7_spl|sQ6_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.11/0.42 fof(f106,definition,(
% 0.11/0.42 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f107,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f106])).
% 0.11/0.42 fof(f110,plain,(
% 0.11/0.42 sQ8_spl|sQ2_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.11/0.42 fof(f111,plain,(
% 0.11/0.42 sQ8_spl|sQ3_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.11/0.42 fof(f112,plain,(
% 0.11/0.42 sQ8_spl|sQ4_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.11/0.42 fof(f113,plain,(
% 0.11/0.42 sQ8_spl|sQ5_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.11/0.42 fof(f114,plain,(
% 0.11/0.42 sQ8_spl|sQ6_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.11/0.42 fof(f115,definition,(
% 0.11/0.42 sQ9_spl <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f116,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|~sQ9_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f115])).
% 0.11/0.42 fof(f118,plain,(
% 0.11/0.42 sQ9_spl|sQ1_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.11/0.42 fof(f119,plain,(
% 0.11/0.42 sQ9_spl|sQ2_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.11/0.42 fof(f120,plain,(
% 0.11/0.42 sQ9_spl|sQ3_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.11/0.42 fof(f121,plain,(
% 0.11/0.42 sQ9_spl|sQ4_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.11/0.42 fof(f122,plain,(
% 0.11/0.42 sQ9_spl|sQ5_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.11/0.42 fof(f123,plain,(
% 0.11/0.42 sQ9_spl|sQ6_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.11/0.42 fof(f124,definition,(
% 0.11/0.42 sQ10_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f125,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|~sQ10_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f124])).
% 0.11/0.42 fof(f127,plain,(
% 0.11/0.42 sQ10_spl|sQ1_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.11/0.42 fof(f128,plain,(
% 0.11/0.42 sQ10_spl|sQ2_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.11/0.42 fof(f129,plain,(
% 0.11/0.42 sQ10_spl|sQ3_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.11/0.42 fof(f130,plain,(
% 0.11/0.42 sQ10_spl|sQ4_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.11/0.42 fof(f131,plain,(
% 0.11/0.42 sQ10_spl|sQ5_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.11/0.42 fof(f132,plain,(
% 0.11/0.42 sQ10_spl|sQ6_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.11/0.42 fof(f133,definition,(
% 0.11/0.42 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f134,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.11/0.42 inference(component_clause,[status(thm)],[f133])).
% 0.11/0.42 fof(f136,definition,(
% 0.11/0.42 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f137,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.11/0.42 inference(component_clause,[status(thm)],[f136])).
% 0.11/0.42 fof(f139,definition,(
% 0.11/0.42 ![X2]: (sQ13_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f140,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.11/0.42 inference(component_clause,[status(thm)],[f139])).
% 0.11/0.42 fof(f142,definition,(
% 0.11/0.42 ![X3,X4]: (sQ14_spl <=> (~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f143,plain,(
% 0.11/0.42 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ14_spl)),
% 0.11/0.42 inference(component_clause,[status(thm)],[f142])).
% 0.11/0.42 fof(f145,plain,(
% 0.11/0.42 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.11/0.42 fof(f146,plain,(
% 0.11/0.42 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.11/0.42 inference(destructive_equality_resolution,[status(thm)],[f143])).
% 0.11/0.42 fof(f155,plain,(
% 0.11/0.42 multiply(sk_c8,sk_c3)=identity|~sQ3_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.11/0.42 fof(f156,plain,(
% 0.11/0.42 multiply(sk_c8,sk_c4)=identity|~sQ6_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.11/0.42 fof(f157,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c1)=identity|~sQ8_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f107,f36])).
% 0.11/0.42 fof(f158,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c2)=identity|~sQ10_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.11/0.42 fof(f159,plain,(
% 0.11/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.11/0.42 fof(f160,plain,(
% 0.11/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f159])).
% 0.11/0.42 fof(f161,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~sQ2_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f78,f37])).
% 0.11/0.42 fof(f162,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f78,f146])).
% 0.11/0.42 fof(f164,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~sQ14_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f35,f146])).
% 0.11/0.42 fof(f165,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ5_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f90,f146])).
% 0.11/0.42 fof(f167,definition,(
% 0.11/0.42 sQ15_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f169,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c7)=sk_c7|sQ15_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f167])).
% 0.11/0.42 fof(f170,plain,(
% 0.11/0.42 ~sQ15_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f162,f167,f81,f142,f77])).
% 0.11/0.42 fof(f171,definition,(
% 0.11/0.42 sQ16_spl <=> (multiply(sk_c8,identity)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f173,plain,(
% 0.11/0.42 ~multiply(sk_c8,identity)=sk_c7|sQ16_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f171])).
% 0.11/0.42 fof(f174,definition,(
% 0.11/0.42 sQ17_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f176,plain,(
% 0.11/0.42 ~inverse(inverse(sk_c8))=sk_c8|sQ17_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f174])).
% 0.11/0.42 fof(f178,definition,(
% 0.11/0.42 sQ18_spl <=> (multiply(sk_c8,sk_c8)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f180,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c8)=sk_c7|sQ18_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f178])).
% 0.11/0.42 fof(f181,definition,(
% 0.11/0.42 sQ19_spl <=> (inverse(identity)=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f184,plain,(
% 0.11/0.42 ~sQ18_spl|~sQ19_spl|~sQ14_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f164,f178,f181,f142])).
% 0.11/0.42 fof(f185,plain,(
% 0.11/0.42 ~sQ4_spl|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f165,f85,f93,f142,f89])).
% 0.11/0.42 fof(f188,plain,(
% 0.11/0.42 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ13_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f36,f140])).
% 0.11/0.42 fof(f189,plain,(
% 0.11/0.42 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ13_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f35,f140])).
% 0.11/0.42 fof(f195,definition,(
% 0.11/0.42 sQ21_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f199,definition,(
% 0.11/0.42 sQ22_spl <=> (identity=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f201,plain,(
% 0.11/0.42 ~identity=sk_c7|sQ22_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.11/0.42 fof(f202,plain,(
% 0.11/0.42 ~sQ22_spl|~sQ17_spl|~sQ13_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f188,f199,f174,f139])).
% 0.11/0.42 fof(f203,definition,(
% 0.11/0.42 sQ23_spl <=> (sk_c8=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f206,plain,(
% 0.11/0.42 ~sQ23_spl|~sQ19_spl|~sQ13_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f189,f203,f181,f139])).
% 0.11/0.42 fof(f211,plain,(
% 0.11/0.42 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ9_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f137,f116])).
% 0.11/0.42 fof(f217,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f125,f211])).
% 0.11/0.42 fof(f218,plain,(
% 0.11/0.42 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f217])).
% 0.11/0.42 fof(f219,plain,(
% 0.11/0.42 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f218])).
% 0.11/0.42 fof(f220,plain,(
% 0.11/0.42 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f134,f98])).
% 0.11/0.42 fof(f225,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f107,f220])).
% 0.11/0.42 fof(f226,plain,(
% 0.11/0.42 $false|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f225])).
% 0.11/0.42 fof(f227,plain,(
% 0.11/0.42 ~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f226])).
% 0.11/0.42 fof(f235,definition,(
% 0.11/0.42 sQ27_spl <=> (inverse(identity)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f239,definition,(
% 0.11/0.42 sQ28_spl <=> (sk_c6=sk_c6)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f241,plain,(
% 0.11/0.42 ~sk_c6=sk_c6|sQ28_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f239])).
% 0.11/0.42 fof(f243,plain,(
% 0.11/0.42 $false|sQ28_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f241])).
% 0.11/0.42 fof(f244,plain,(
% 0.11/0.42 sQ28_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f243])).
% 0.11/0.42 fof(f249,plain,(
% 0.11/0.42 ~sk_c6=sk_c6|~inverse(sk_c8)=sk_c7|~sQ11_spl|~sQ1_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f74,f134])).
% 0.11/0.42 fof(f251,definition,(
% 0.11/0.42 sQ29_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f253,plain,(
% 0.11/0.42 ~inverse(sk_c8)=sk_c7|sQ29_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f251])).
% 0.11/0.42 fof(f254,plain,(
% 0.11/0.42 ~sQ28_spl|~sQ29_spl|~sQ11_spl|~sQ1_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f249,f239,f251,f133,f73])).
% 0.11/0.42 fof(f261,plain,(
% 0.11/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~sQ10_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f158,f37])).
% 0.11/0.42 fof(f262,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~sQ10_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f261])).
% 0.11/0.42 fof(f264,plain,(
% 0.11/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c3,X0))|~sQ3_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f155,f37])).
% 0.11/0.42 fof(f265,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c8,multiply(sk_c3,X0))|~sQ3_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f264])).
% 0.11/0.42 fof(f267,plain,(
% 0.11/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c4,X0))|~sQ6_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f156,f37])).
% 0.11/0.42 fof(f268,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~sQ6_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f267])).
% 0.11/0.42 fof(f271,plain,(
% 0.11/0.42 sk_c8=multiply(sk_c8,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f78,f265])).
% 0.11/0.42 fof(f275,plain,(
% 0.11/0.42 sk_c8=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f271,f74])).
% 0.11/0.42 fof(f279,plain,(
% 0.11/0.42 ~multiply(sk_c7,sk_c8)=sk_c8|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f275,f72])).
% 0.11/0.42 fof(f288,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c8)|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f271,f161])).
% 0.11/0.42 fof(f292,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c7)=sk_c7|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f78,f288])).
% 0.11/0.42 fof(f323,plain,(
% 0.11/0.42 sk_c8=multiply(sk_c8,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f90,f268])).
% 0.11/0.42 fof(f330,plain,(
% 0.11/0.42 sk_c8=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f86,f323])).
% 0.11/0.42 fof(f368,plain,(
% 0.11/0.42 ~multiply(sk_c7,sk_c8)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f330,f279])).
% 0.11/0.42 fof(f369,plain,(
% 0.11/0.42 sk_c7=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f330,f275])).
% 0.11/0.42 fof(f377,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f330,f82])).
% 0.11/0.42 fof(f378,plain,(
% 0.11/0.42 multiply(sk_c3,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f330,f78])).
% 0.11/0.42 fof(f382,plain,(
% 0.11/0.42 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f330,f368])).
% 0.11/0.42 fof(f402,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f292,f382])).
% 0.11/0.42 fof(f403,plain,(
% 0.11/0.42 $false|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f402])).
% 0.11/0.42 fof(f404,plain,(
% 0.11/0.42 ~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f403])).
% 0.11/0.42 fof(f414,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ11_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f369,f134])).
% 0.11/0.42 fof(f420,plain,(
% 0.11/0.42 ~inverse(sk_c3)=sk_c7|~sQ3_spl|~sQ1_spl|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f414,f378])).
% 0.11/0.42 fof(f430,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ3_spl|~sQ1_spl|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f377,f420])).
% 0.11/0.42 fof(f431,plain,(
% 0.11/0.42 $false|~sQ3_spl|~sQ1_spl|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f430])).
% 0.11/0.42 fof(f432,plain,(
% 0.11/0.42 ~sQ3_spl|~sQ1_spl|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f431])).
% 0.11/0.42 fof(f437,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f330,f140])).
% 0.11/0.42 fof(f438,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f330,f437])).
% 0.11/0.42 fof(f441,plain,(
% 0.11/0.42 ~inverse(sk_c3)=sk_c7|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f438,f378])).
% 0.11/0.42 fof(f451,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ3_spl|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f377,f441])).
% 0.11/0.42 fof(f452,plain,(
% 0.11/0.42 $false|~sQ3_spl|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f451])).
% 0.11/0.42 fof(f453,plain,(
% 0.11/0.42 ~sQ3_spl|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f452])).
% 0.11/0.42 fof(f454,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f330,f137])).
% 0.11/0.42 fof(f455,definition,(
% 0.11/0.42 sQ30_spl <=> (identity=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f457,plain,(
% 0.11/0.42 ~identity=sk_c8|sQ30_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f455])).
% 0.11/0.42 fof(f464,plain,(
% 0.11/0.42 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f454,f378])).
% 0.11/0.42 fof(f474,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ3_spl|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f377,f464])).
% 0.11/0.42 fof(f475,plain,(
% 0.11/0.42 $false|~sQ3_spl|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f474])).
% 0.11/0.42 fof(f476,plain,(
% 0.11/0.42 ~sQ3_spl|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f475])).
% 0.11/0.42 fof(f477,plain,(
% 0.11/0.42 sk_c7=multiply(sk_c7,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f116,f262])).
% 0.11/0.42 fof(f479,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ7_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f98,f37])).
% 0.11/0.42 fof(f486,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c7)=sk_c8|~sQ14_spl|~sQ0_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f71,f146])).
% 0.11/0.42 fof(f488,definition,(
% 0.11/0.42 sQ31_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f490,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c6)=sk_c7|sQ31_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f488])).
% 0.11/0.42 fof(f491,plain,(
% 0.11/0.42 ~sQ31_spl|~sQ21_spl|~sQ14_spl|~sQ0_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f486,f488,f195,f142,f70])).
% 0.11/0.42 fof(f542,plain,(
% 0.11/0.42 sk_c7=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f477,f71])).
% 0.11/0.42 fof(f546,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~inverse(sk_c7)=sk_c8|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f477,f140])).
% 0.11/0.42 fof(f547,plain,(
% 0.11/0.42 sk_c8=multiply(inverse(sk_c7),sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f477,f160])).
% 0.11/0.42 fof(f551,definition,(
% 0.11/0.42 sQ32_spl <=> (sk_c7=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f553,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|sQ32_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f551])).
% 0.11/0.42 fof(f554,plain,(
% 0.11/0.42 ~sQ32_spl|~sQ21_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f546,f551,f195,f139,f124,f115])).
% 0.11/0.42 fof(f555,plain,(
% 0.11/0.42 sk_c8=identity|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f36,f547])).
% 0.11/0.42 fof(f556,plain,(
% 0.11/0.42 $false|sQ30_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f555,f457])).
% 0.11/0.42 fof(f557,plain,(
% 0.11/0.42 sQ30_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f556])).
% 0.11/0.42 fof(f558,plain,(
% 0.11/0.42 $false|sQ32_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f553])).
% 0.11/0.42 fof(f559,plain,(
% 0.11/0.42 sQ32_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f558])).
% 0.11/0.42 fof(f565,plain,(
% 0.11/0.42 ~inverse(inverse(sk_c8))=identity|~sQ10_spl|~sQ9_spl|sQ17_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f555,f176])).
% 0.11/0.42 fof(f566,plain,(
% 0.11/0.42 ~inverse(identity)=sk_c7|~sQ10_spl|~sQ9_spl|sQ29_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f555,f253])).
% 0.11/0.42 fof(f570,plain,(
% 0.11/0.42 ~multiply(identity,sk_c7)=sk_c7|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f555,f169])).
% 0.11/0.42 fof(f571,plain,(
% 0.11/0.42 ~multiply(identity,identity)=sk_c7|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f555,f173])).
% 0.11/0.42 fof(f572,plain,(
% 0.11/0.42 ~multiply(sk_c8,identity)=sk_c7|~sQ10_spl|~sQ9_spl|sQ18_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f555,f180])).
% 0.11/0.42 fof(f574,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=identity|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f555,f116])).
% 0.11/0.42 fof(f575,plain,(
% 0.11/0.42 ~inverse(inverse(identity))=identity|~sQ10_spl|~sQ9_spl|sQ17_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f555,f565])).
% 0.11/0.42 fof(f577,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f570])).
% 0.11/0.42 fof(f578,plain,(
% 0.11/0.42 $false|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f577])).
% 0.11/0.42 fof(f579,plain,(
% 0.11/0.42 ~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f578])).
% 0.11/0.42 fof(f580,plain,(
% 0.11/0.42 ~identity=sk_c7|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f571])).
% 0.11/0.42 fof(f581,plain,(
% 0.11/0.42 ~multiply(identity,identity)=sk_c7|~sQ10_spl|~sQ9_spl|sQ18_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f555,f572])).
% 0.11/0.42 fof(f582,plain,(
% 0.11/0.42 ~identity=sk_c7|~sQ10_spl|~sQ9_spl|sQ18_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f581])).
% 0.11/0.42 fof(f585,plain,(
% 0.11/0.42 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f555,f146])).
% 0.11/0.42 fof(f586,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f585])).
% 0.11/0.42 fof(f587,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f555,f586])).
% 0.11/0.42 fof(f588,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=identity|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f555,f587])).
% 0.11/0.42 fof(f589,plain,(
% 0.11/0.42 ~identity=sk_c7|~inverse(inverse(identity))=identity|~sQ10_spl|~sQ9_spl|~sQ14_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f36,f588])).
% 0.11/0.42 fof(f590,plain,(
% 0.11/0.42 ~identity=sk_c7|~inverse(identity)=identity|~sQ10_spl|~sQ9_spl|~sQ14_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f35,f588])).
% 0.11/0.42 fof(f592,definition,(
% 0.11/0.42 sQ33_spl <=> (inverse(inverse(identity))=identity)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f595,plain,(
% 0.11/0.42 ~sQ22_spl|~sQ33_spl|~sQ10_spl|~sQ9_spl|~sQ14_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f589,f199,f592,f124,f115,f142])).
% 0.11/0.42 fof(f596,definition,(
% 0.11/0.42 sQ34_spl <=> (inverse(identity)=identity)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f599,plain,(
% 0.11/0.42 ~sQ22_spl|~sQ34_spl|~sQ10_spl|~sQ9_spl|~sQ14_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f590,f199,f596,f124,f115,f142])).
% 0.11/0.42 fof(f608,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f542,f479])).
% 0.11/0.42 fof(f610,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c7,multiply(sk_c2,X0))=multiply(sk_c1,X0)|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f262,f608])).
% 0.11/0.42 fof(f615,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c1,X0)|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f262,f610])).
% 0.11/0.42 fof(f622,plain,(
% 0.11/0.42 ~multiply(identity,sk_c6)=sk_c7|~sQ10_spl|~sQ9_spl|sQ31_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f555,f490])).
% 0.11/0.42 fof(f623,plain,(
% 0.11/0.42 ~sk_c6=sk_c7|~sQ10_spl|~sQ9_spl|sQ31_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f622])).
% 0.11/0.42 fof(f624,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ31_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f542,f623])).
% 0.11/0.42 fof(f625,plain,(
% 0.11/0.42 $false|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ31_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f624])).
% 0.11/0.42 fof(f626,plain,(
% 0.11/0.42 ~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ31_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f625])).
% 0.11/0.42 fof(f629,plain,(
% 0.11/0.42 ~multiply(identity,sk_c7)=sk_c6|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f555,f75])).
% 0.11/0.42 fof(f630,plain,(
% 0.11/0.42 ~sk_c7=sk_c6|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f629])).
% 0.11/0.42 fof(f631,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f542,f630])).
% 0.11/0.42 fof(f632,plain,(
% 0.11/0.42 $false|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f631])).
% 0.11/0.42 fof(f633,plain,(
% 0.11/0.42 ~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f632])).
% 0.11/0.42 fof(f654,plain,(
% 0.11/0.42 ~identity=sk_c7|~inverse(sk_c1)=identity|~sQ14_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f615,f588])).
% 0.11/0.42 fof(f655,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(inverse(sk_c1),X0)|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f615,f160])).
% 0.11/0.42 fof(f657,definition,(
% 0.11/0.42 sQ35_spl <=> (inverse(sk_c1)=identity)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f659,plain,(
% 0.11/0.42 ~inverse(sk_c1)=identity|sQ35_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f657])).
% 0.11/0.42 fof(f660,plain,(
% 0.11/0.42 ~sQ22_spl|~sQ35_spl|~sQ14_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f654,f199,f657,f142,f115,f70,f97,f124])).
% 0.11/0.42 fof(f661,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c7,X0)|~sQ8_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f107,f655])).
% 0.11/0.42 fof(f662,plain,(
% 0.11/0.42 ~sk_c7=identity|~sQ8_spl|sQ35_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f107,f659])).
% 0.11/0.42 fof(f663,plain,(
% 0.11/0.42 sk_c1=identity|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ8_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f661,f157])).
% 0.11/0.42 fof(f665,plain,(
% 0.11/0.42 sk_c2=identity|~sQ8_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f661,f158])).
% 0.11/0.42 fof(f674,plain,(
% 0.11/0.42 inverse(identity)=sk_c7|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ8_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f663,f107])).
% 0.11/0.42 fof(f677,plain,(
% 0.11/0.42 ~sQ27_spl|~sQ10_spl|~sQ9_spl|sQ29_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f566,f235,f124,f115,f251])).
% 0.11/0.42 fof(f679,plain,(
% 0.11/0.42 multiply(identity,sk_c7)=identity|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f665,f574])).
% 0.11/0.42 fof(f681,plain,(
% 0.11/0.42 sk_c7=identity|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f679])).
% 0.11/0.42 fof(f682,plain,(
% 0.11/0.42 $false|sQ22_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f681,f201])).
% 0.11/0.42 fof(f683,plain,(
% 0.11/0.42 sQ22_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f682])).
% 0.11/0.42 fof(f684,plain,(
% 0.11/0.42 ~sQ22_spl|~sQ8_spl|sQ35_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f662,f199,f106,f657])).
% 0.11/0.42 fof(f685,plain,(
% 0.11/0.42 ~sQ22_spl|~sQ10_spl|~sQ9_spl|sQ18_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f582,f199,f124,f115,f178])).
% 0.11/0.42 fof(f686,plain,(
% 0.11/0.42 ~sQ22_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f580,f199,f124,f115,f171])).
% 0.11/0.42 fof(f769,plain,(
% 0.11/0.42 ~inverse(identity)=identity|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ17_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f770,f575])).
% 0.11/0.42 fof(f770,plain,(
% 0.11/0.42 inverse(identity)=identity|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ8_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f681,f674])).
% 0.11/0.42 fof(f773,plain,(
% 0.11/0.42 ~identity=identity|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ17_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f770,f769])).
% 0.11/0.42 fof(f774,plain,(
% 0.11/0.42 $false|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ17_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f773])).
% 0.11/0.42 fof(f775,plain,(
% 0.11/0.42 ~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ17_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f774])).
% 0.11/0.42 fof(f776,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f170,f184,f185,f202,f206,f219,f227,f244,f254,f404,f432,f453,f476,f491,f554,f557,f559,f579,f595,f599,f626,f633,f660,f677,f683,f684,f685,f686,f775])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.061742 seconds
% 0.11/0.44 % CPU time: 0.210050 seconds
% 0.11/0.44 % Total memory used: 104.495 MB
% 0.11/0.44 % Net memory used: 104.271 MB
%------------------------------------------------------------------------------