%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP212-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:36:16 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 : GRP212-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n026.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:09:22 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.11/0.37 % 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f4,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f5,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f6,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f7,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f8,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f9,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f10,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c2| inverse(sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f11,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f12,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f13,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f14,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f15,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f17,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/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f18,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f19,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f20,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f21,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f22,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c3) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f23,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c3) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f24,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c3) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f25,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c3) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f26,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f27,negated_conjecture,(
% 0.11/0.42 ( inverse(sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f28,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f29,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f30,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f31,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f32,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f33,negated_conjecture,(
% 0.11/0.42 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f34,negated_conjecture,(
% 0.11/0.42 (![X4,X5,X6,X1,X2,X3]: (( multiply(X4,X5) != sk_c8| inverse(X4) != X5| multiply(X5,sk_c7) != sk_c8| inverse(X6) != sk_c8| multiply(X6,sk_c7) != sk_c8| inverse(sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.11/0.42 file('/export/starexec/sandbox/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_c1,sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.42 fof(f39,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.42 fof(f40,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=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_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=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_c1,sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.42 fof(f43,plain,(
% 0.11/0.42 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.42 fof(f44,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c2|inverse(sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.42 fof(f45,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.42 fof(f46,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c7)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.42 fof(f47,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c6)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.42 fof(f48,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.42 fof(f49,plain,(
% 0.11/0.42 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.42 fof(f51,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)],[f17])).
% 0.11/0.42 fof(f52,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.42 fof(f53,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.42 fof(f54,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.42 fof(f55,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.42 fof(f56,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.42 fof(f57,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.42 fof(f58,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.42 fof(f59,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.42 fof(f60,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.42 fof(f61,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.42 fof(f62,plain,(
% 0.11/0.42 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.42 fof(f63,plain,(
% 0.11/0.42 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.42 fof(f64,plain,(
% 0.11/0.42 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/0.42 fof(f65,plain,(
% 0.11/0.42 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.11/0.42 fof(f66,plain,(
% 0.11/0.42 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/0.42 fof(f67,plain,(
% 0.11/0.42 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.11/0.42 fof(f68,plain,(
% 0.11/0.42 ![X3]: ((![X2]: (((![X1]: ((((![X6]: (((![X5]: ((![X4]: (~multiply(X4,X5)=sk_c8|~inverse(X4)=X5))|~multiply(X5,sk_c7)=sk_c8))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c7)=sk_c8))|~inverse(sk_c8)=sk_c7)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.11/0.42 inference(miniscoping,[status(thm)],[f34])).
% 0.11/0.42 fof(f69,plain,(
% 0.11/0.42 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~inverse(sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.11/0.42 fof(f70,definition,(
% 0.11/0.42 sQ0_spl <=> (multiply(sk_c1,sk_c2)=sk_c8)),
% 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_c1,sk_c2)=sk_c8|~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 <=> (inverse(sk_c8)=sk_c7)),
% 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 inverse(sk_c8)=sk_c7|~sQ1_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.11/0.42 fof(f75,plain,(
% 0.11/0.42 ~inverse(sk_c8)=sk_c7|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 <=> (inverse(sk_c4)=sk_c8)),
% 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 inverse(sk_c4)=sk_c8|~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 <=> (multiply(sk_c4,sk_c7)=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 multiply(sk_c4,sk_c7)=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_c6)=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_c6)=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_c5,sk_c8)=sk_c6)),
% 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_c5,sk_c8)=sk_c6|~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_c5)=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_c5)=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 <=> (inverse(sk_c1)=sk_c2)),
% 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 inverse(sk_c1)=sk_c2|~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 <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 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 <=> (inverse(sk_c3)=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 inverse(sk_c3)=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 <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 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 multiply(sk_c3,sk_c7)=sk_c8|~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,X1]: (sQ11_spl <=> (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8))),
% 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,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ11_spl)),
% 0.11/0.42 inference(component_clause,[status(thm)],[f133])).
% 0.11/0.42 fof(f136,definition,(
% 0.11/0.42 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8))),
% 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]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ12_spl)),
% 0.11/0.42 inference(component_clause,[status(thm)],[f136])).
% 0.11/0.42 fof(f139,definition,(
% 0.11/0.42 ![X4,X5]: (sQ13_spl <=> (~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=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,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.11/0.42 inference(component_clause,[status(thm)],[f139])).
% 0.11/0.42 fof(f142,plain,(
% 0.11/0.42 sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f69,f133,f136,f73,f139])).
% 0.11/0.42 fof(f143,plain,(
% 0.11/0.42 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.11/0.42 inference(destructive_equality_resolution,[status(thm)],[f140])).
% 0.11/0.42 fof(f173,plain,(
% 0.11/0.42 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ5_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f90,f143])).
% 0.11/0.42 fof(f181,plain,(
% 0.11/0.42 ~sQ4_spl|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f173,f85,f93,f139,f89])).
% 0.11/0.42 fof(f182,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ11_spl)),
% 0.11/0.42 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.11/0.42 fof(f183,plain,(
% 0.11/0.42 ~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ3_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f137,f82])).
% 0.11/0.42 fof(f185,plain,(
% 0.11/0.42 ~inverse(sk_c3)=sk_c8|~sQ12_spl|~sQ10_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f137,f125])).
% 0.11/0.42 fof(f190,plain,(
% 0.11/0.42 ~sk_c8=sk_c8|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f78,f183])).
% 0.11/0.42 fof(f191,plain,(
% 0.11/0.42 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f190])).
% 0.11/0.42 fof(f192,plain,(
% 0.11/0.42 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f191])).
% 0.11/0.42 fof(f197,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(f198,plain,(
% 0.11/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f35,f197])).
% 0.11/0.42 fof(f220,plain,(
% 0.11/0.42 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ5_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f90,f198])).
% 0.11/0.42 fof(f222,plain,(
% 0.11/0.42 sk_c2=multiply(inverse(sk_c1),sk_c8)|~sQ0_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f71,f198])).
% 0.11/0.42 fof(f225,plain,(
% 0.11/0.42 sk_c7=multiply(inverse(sk_c3),sk_c8)|~sQ10_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f125,f198])).
% 0.11/0.42 fof(f228,plain,(
% 0.11/0.42 sk_c8=multiply(sk_c8,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f94,f220])).
% 0.11/0.42 fof(f230,plain,(
% 0.11/0.42 sk_c2=multiply(sk_c2,sk_c8)|~sQ7_spl|~sQ0_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f98,f222])).
% 0.11/0.42 fof(f231,plain,(
% 0.11/0.42 sk_c7=multiply(sk_c8,sk_c8)|~sQ9_spl|~sQ10_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f116,f225])).
% 0.11/0.42 fof(f241,plain,(
% 0.11/0.42 sk_c6=multiply(inverse(sk_c8),sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f228,f198])).
% 0.11/0.42 fof(f244,plain,(
% 0.11/0.42 sk_c6=identity|~sQ6_spl|~sQ5_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f36,f241])).
% 0.11/0.42 fof(f255,plain,(
% 0.11/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c2,sk_c7)=sk_c8|~sQ11_spl|~sQ7_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f98,f182])).
% 0.11/0.42 fof(f264,definition,(
% 0.11/0.42 sQ18_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f266,plain,(
% 0.11/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|sQ18_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f264])).
% 0.11/0.42 fof(f267,plain,(
% 0.11/0.42 ~sQ18_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f255,f264,f106,f133,f97])).
% 0.11/0.42 fof(f273,plain,(
% 0.11/0.42 ~multiply(sk_c1,sk_c2)=sk_c8|~sQ7_spl|sQ18_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f98,f266])).
% 0.11/0.42 fof(f274,plain,(
% 0.11/0.42 ~sk_c8=sk_c8|~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f71,f273])).
% 0.11/0.42 fof(f275,plain,(
% 0.11/0.42 $false|~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f274])).
% 0.11/0.42 fof(f276,plain,(
% 0.11/0.42 ~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f275])).
% 0.11/0.42 fof(f283,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(f284,plain,(
% 0.11/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f198,f283])).
% 0.11/0.42 fof(f285,plain,(
% 0.11/0.42 multiply(sk_c8,sk_c4)=identity|~sQ2_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.11/0.42 fof(f288,plain,(
% 0.11/0.42 sk_c8=multiply(inverse(sk_c2),sk_c2)|~sQ7_spl|~sQ0_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f230,f198])).
% 0.11/0.42 fof(f291,plain,(
% 0.11/0.42 sk_c8=identity|~sQ7_spl|~sQ0_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f36,f288])).
% 0.11/0.42 fof(f292,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ7_spl|~sQ0_spl)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f291,f36])).
% 0.11/0.42 fof(f298,plain,(
% 0.11/0.42 sk_c7=sk_c8|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f300,f231])).
% 0.11/0.42 fof(f300,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c8,X0)=X0|~sQ7_spl|~sQ0_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f291,f284])).
% 0.11/0.42 fof(f301,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ7_spl|~sQ0_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f300,f198])).
% 0.11/0.42 fof(f303,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c7,X0)|~sQ1_spl|~sQ7_spl|~sQ0_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f74,f301])).
% 0.11/0.42 fof(f308,plain,(
% 0.11/0.42 sk_c7=identity|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f298,f291])).
% 0.11/0.42 fof(f311,plain,(
% 0.11/0.42 inverse(sk_c7)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ1_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f298,f74])).
% 0.11/0.42 fof(f318,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f298,f116])).
% 0.11/0.42 fof(f323,plain,(
% 0.11/0.42 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f298,f143])).
% 0.11/0.42 fof(f324,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ1_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f303,f323])).
% 0.11/0.42 fof(f325,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c8|~sQ1_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f298,f324])).
% 0.11/0.42 fof(f326,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ1_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f298,f325])).
% 0.11/0.42 fof(f328,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ10_spl|~sQ13_spl|~sQ1_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f303,f326])).
% 0.11/0.42 fof(f330,definition,(
% 0.11/0.42 sQ20_spl <=> (sk_c7=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f332,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|sQ20_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f330])).
% 0.11/0.42 fof(f333,definition,(
% 0.11/0.42 sQ21_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f335,plain,(
% 0.11/0.42 ~inverse(sk_c7)=sk_c7|sQ21_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f333])).
% 0.11/0.42 fof(f336,plain,(
% 0.11/0.42 ~sQ20_spl|~sQ21_spl|~sQ9_spl|~sQ10_spl|~sQ13_spl|~sQ1_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f328,f330,f333,f115,f124,f139,f73,f97,f70])).
% 0.11/0.42 fof(f362,plain,(
% 0.11/0.42 multiply(sk_c8,sk_c4)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f244,f285])).
% 0.11/0.42 fof(f363,plain,(
% 0.11/0.42 sk_c4=multiply(inverse(sk_c8),sk_c6)|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f362,f198])).
% 0.11/0.42 fof(f365,plain,(
% 0.11/0.42 sk_c4=multiply(sk_c7,sk_c6)|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f74,f363])).
% 0.11/0.42 fof(f380,plain,(
% 0.11/0.42 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ5_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f90,f198])).
% 0.11/0.42 fof(f382,plain,(
% 0.11/0.42 sk_c8=multiply(sk_c8,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f94,f380])).
% 0.11/0.42 fof(f383,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,f382])).
% 0.11/0.42 fof(f386,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c6)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f383,f86])).
% 0.11/0.42 fof(f387,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c4)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f383,f362])).
% 0.11/0.42 fof(f395,plain,(
% 0.11/0.42 multiply(sk_c4,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f383,f82])).
% 0.11/0.42 fof(f491,plain,(
% 0.11/0.42 $false|sQ20_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f332])).
% 0.11/0.42 fof(f492,plain,(
% 0.11/0.42 sQ20_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f491])).
% 0.11/0.42 fof(f496,plain,(
% 0.11/0.42 $false|sQ21_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ1_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f311,f335])).
% 0.11/0.42 fof(f497,plain,(
% 0.11/0.42 sQ21_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ1_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f496])).
% 0.11/0.42 fof(f507,plain,(
% 0.11/0.42 ~inverse(sk_c7)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f298,f75])).
% 0.11/0.42 fof(f512,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f308,f284])).
% 0.11/0.42 fof(f515,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f298,f292])).
% 0.11/0.42 fof(f517,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c3)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f318,f515])).
% 0.11/0.42 fof(f522,plain,(
% 0.11/0.42 sk_c3=sk_c7|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f512,f517])).
% 0.11/0.42 fof(f584,definition,(
% 0.11/0.42 sQ23_spl <=> (sk_c8=sk_c8)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f586,plain,(
% 0.11/0.42 ~sk_c8=sk_c8|sQ23_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f584])).
% 0.11/0.42 fof(f594,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ6_spl|~sQ5_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f244,f36])).
% 0.11/0.42 fof(f610,plain,(
% 0.11/0.42 inverse(sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f383,f74])).
% 0.11/0.42 fof(f632,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f383,f182])).
% 0.11/0.42 fof(f633,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f383,f632])).
% 0.11/0.42 fof(f636,plain,(
% 0.11/0.42 ~multiply(sk_c7,inverse(sk_c7))=sk_c7|~sk_c6=sk_c7|~sQ4_spl|~sQ11_spl|~sQ6_spl|~sQ5_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f594,f633])).
% 0.11/0.42 fof(f645,definition,(
% 0.11/0.42 sQ25_spl <=> (multiply(sk_c7,inverse(sk_c7))=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f647,plain,(
% 0.11/0.42 ~multiply(sk_c7,inverse(sk_c7))=sk_c7|sQ25_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f645])).
% 0.11/0.42 fof(f648,definition,(
% 0.11/0.42 sQ26_spl <=> (sk_c6=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f650,plain,(
% 0.11/0.42 ~sk_c6=sk_c7|sQ26_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f648])).
% 0.11/0.42 fof(f651,plain,(
% 0.11/0.42 ~sQ25_spl|~sQ26_spl|~sQ4_spl|~sQ11_spl|~sQ6_spl|~sQ5_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f636,f645,f648,f85,f133,f93,f89])).
% 0.11/0.42 fof(f664,plain,(
% 0.11/0.42 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ25_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f610,f647])).
% 0.11/0.42 fof(f702,plain,(
% 0.11/0.42 multiply(sk_c4,sk_c7)=sk_c4|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f704,f395])).
% 0.11/0.42 fof(f704,plain,(
% 0.11/0.42 sk_c4=sk_c7|~sQ1_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f365,f386])).
% 0.11/0.42 fof(f708,plain,(
% 0.11/0.42 multiply(sk_c4,sk_c4)=sk_c4|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f704,f702])).
% 0.11/0.42 fof(f720,plain,(
% 0.11/0.42 multiply(sk_c4,sk_c4)=sk_c6|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f704,f387])).
% 0.11/0.43 fof(f760,definition,(
% 0.11/0.43 sQ31_spl <=> (sk_c4=sk_c4)),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f762,plain,(
% 0.11/0.43 ~sk_c4=sk_c4|sQ31_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f760])).
% 0.11/0.43 fof(f785,plain,(
% 0.11/0.43 $false|sQ31_spl),
% 0.11/0.43 inference(trivial_equality_resolution,[status(thm)],[f762])).
% 0.11/0.43 fof(f786,plain,(
% 0.11/0.43 sQ31_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f785])).
% 0.11/0.43 fof(f790,plain,(
% 0.11/0.43 ~sk_c6=sk_c4|~sQ1_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ26_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f704,f650])).
% 0.11/0.43 fof(f816,plain,(
% 0.11/0.43 ~multiply(sk_c4,sk_c7)=sk_c7|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ25_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f704,f664])).
% 0.11/0.43 fof(f817,plain,(
% 0.11/0.43 ~multiply(sk_c4,sk_c4)=sk_c7|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ25_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f704,f816])).
% 0.11/0.43 fof(f818,plain,(
% 0.11/0.43 ~sk_c6=sk_c7|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ25_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f720,f817])).
% 0.11/0.43 fof(f819,plain,(
% 0.11/0.43 ~sk_c6=sk_c4|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ25_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f704,f818])).
% 0.11/0.43 fof(f820,plain,(
% 0.11/0.43 sk_c6=sk_c4|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f720,f708])).
% 0.11/0.43 fof(f847,plain,(
% 0.11/0.43 ~sk_c6=sk_c6|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ25_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f820,f819])).
% 0.11/0.43 fof(f848,plain,(
% 0.11/0.43 $false|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ25_spl),
% 0.11/0.43 inference(trivial_equality_resolution,[status(thm)],[f847])).
% 0.11/0.43 fof(f849,plain,(
% 0.11/0.43 ~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ25_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f848])).
% 0.11/0.43 fof(f857,plain,(
% 0.11/0.43 ~sk_c6=sk_c6|~sQ3_spl|~sQ1_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ26_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f820,f790])).
% 0.11/0.43 fof(f858,plain,(
% 0.11/0.43 $false|~sQ3_spl|~sQ1_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ26_spl),
% 0.11/0.43 inference(trivial_equality_resolution,[status(thm)],[f857])).
% 0.11/0.43 fof(f859,plain,(
% 0.11/0.43 ~sQ3_spl|~sQ1_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ26_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f858])).
% 0.11/0.43 fof(f860,plain,(
% 0.11/0.43 ~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f185,f115,f136,f124])).
% 0.11/0.43 fof(f861,plain,(
% 0.11/0.43 $false|sQ23_spl),
% 0.11/0.43 inference(trivial_equality_resolution,[status(thm)],[f586])).
% 0.11/0.43 fof(f862,plain,(
% 0.11/0.43 sQ23_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f861])).
% 0.11/0.43 fof(f876,plain,(
% 0.11/0.43 inverse(sk_c3)=sk_c3|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f522,f318])).
% 0.11/0.43 fof(f899,plain,(
% 0.11/0.43 ~inverse(sk_c3)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f522,f507])).
% 0.11/0.43 fof(f900,plain,(
% 0.11/0.43 ~sk_c3=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f876,f899])).
% 0.11/0.43 fof(f901,plain,(
% 0.11/0.43 ~sk_c3=sk_c3|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f522,f900])).
% 0.11/0.43 fof(f902,plain,(
% 0.11/0.43 $false|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.11/0.43 inference(trivial_equality_resolution,[status(thm)],[f901])).
% 0.11/0.43 fof(f903,plain,(
% 0.11/0.43 ~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f902])).
% 0.11/0.43 fof(f904,plain,(
% 0.11/0.43 $false),
% 0.11/0.43 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,f142,f181,f192,f267,f276,f336,f492,f497,f651,f786,f849,f859,f860,f862,f903])).
% 0.11/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.081346 seconds
% 0.11/0.44 % CPU time: 0.263283 seconds
% 0.11/0.44 % Total memory used: 105.566 MB
% 0.11/0.44 % Net memory used: 105.341 MB
%------------------------------------------------------------------------------