%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP223-1 : 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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP223-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:08:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f9,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f10,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f12,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f14,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f15,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f16,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f17,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f18,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f19,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f20,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f21,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f22,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f23,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c5 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f24,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f25,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f26,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f27,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f28,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f29,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f30,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f31,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f32,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f33,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f34,negated_conjecture,(
% 0.09/0.39 (![X4,X5,X6,X2,X1,X3,X7]: (( inverse(X4) != sk_c9| multiply(X4,sk_c8) != sk_c9| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| multiply(X2,X1) != sk_c9| inverse(X2) != X1| multiply(X1,sk_c8) != sk_c9| multiply(sk_c9,X3) != sk_c8| multiply(X7,sk_c9) != X3| inverse(X7) != sk_c9 ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.39 fof(f42,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.39 fof(f43,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f44,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.39 fof(f45,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f46,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f47,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.39 fof(f48,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.39 fof(f49,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.39 fof(f50,plain,(
% 0.09/0.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c5)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.39 fof(f51,plain,(
% 0.09/0.39 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.39 fof(f52,plain,(
% 0.09/0.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.39 fof(f53,plain,(
% 0.09/0.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.39 fof(f54,plain,(
% 0.09/0.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.39 fof(f55,plain,(
% 0.09/0.39 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.39 fof(f56,plain,(
% 0.09/0.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c5)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.39 fof(f57,plain,(
% 0.09/0.39 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c5),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.39 fof(f58,plain,(
% 0.09/0.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.39 fof(f59,plain,(
% 0.09/0.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c9,sk_c7)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.39 fof(f60,plain,(
% 0.09/0.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c6,sk_c9)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.39 fof(f61,plain,(
% 0.09/0.39 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.39 fof(f62,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.39 fof(f63,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.39 fof(f64,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.39 fof(f65,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.39 fof(f66,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.39 fof(f67,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.39 fof(f68,plain,(
% 0.09/0.39 ![X7]: ((![X3]: (((![X1]: ((![X2]: (((![X6]: ((![X5]: (((![X4]: (~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~multiply(X2,X1)=sk_c9)|~inverse(X2)=X1))|~multiply(X1,sk_c8)=sk_c9))|~multiply(sk_c9,X3)=sk_c8)|~multiply(X7,sk_c9)=X3))|~inverse(X7)=sk_c9)),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.09/0.39 fof(f69,plain,(
% 0.09/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~multiply(X3,X4)=sk_c9|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c9|~multiply(sk_c9,X5)=sk_c8|~multiply(X6,sk_c9)=X5|~inverse(X6)=sk_c9)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.09/0.39 fof(f70,definition,(
% 0.09/0.39 sQ0_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f71,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c9|~sQ0_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.09/0.39 fof(f73,definition,(
% 0.09/0.39 sQ1_spl <=> (multiply(sk_c4,sk_c5)=sk_c9)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f74,plain,(
% 0.09/0.39 multiply(sk_c4,sk_c5)=sk_c9|~sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.09/0.39 fof(f76,plain,(
% 0.09/0.39 sQ0_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.09/0.39 fof(f77,definition,(
% 0.09/0.39 sQ2_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f78,plain,(
% 0.09/0.39 inverse(sk_c4)=sk_c5|~sQ2_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.09/0.39 fof(f80,plain,(
% 0.09/0.39 sQ0_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.09/0.39 fof(f81,definition,(
% 0.09/0.39 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f82,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c8)=sk_c9|~sQ3_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.09/0.39 fof(f84,plain,(
% 0.09/0.39 sQ0_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.09/0.39 fof(f85,definition,(
% 0.09/0.39 sQ4_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f86,plain,(
% 0.09/0.39 multiply(sk_c9,sk_c7)=sk_c8|~sQ4_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.39 fof(f88,plain,(
% 0.09/0.39 sQ0_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.09/0.39 fof(f89,definition,(
% 0.09/0.39 sQ5_spl <=> (multiply(sk_c6,sk_c9)=sk_c7)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f90,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c9)=sk_c7|~sQ5_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.39 fof(f92,plain,(
% 0.09/0.39 sQ0_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.09/0.39 fof(f93,definition,(
% 0.09/0.39 sQ6_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f94,plain,(
% 0.09/0.39 inverse(sk_c6)=sk_c9|~sQ6_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.09/0.39 fof(f96,plain,(
% 0.09/0.39 sQ0_spl|sQ6_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.09/0.39 fof(f97,definition,(
% 0.09/0.39 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f98,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c9|~sQ7_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.09/0.39 fof(f100,plain,(
% 0.09/0.39 sQ7_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.09/0.39 fof(f101,plain,(
% 0.09/0.39 sQ7_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.09/0.39 fof(f102,plain,(
% 0.09/0.39 sQ7_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.09/0.39 fof(f103,plain,(
% 0.09/0.39 sQ7_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.09/0.39 fof(f104,plain,(
% 0.09/0.39 sQ7_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.09/0.39 fof(f105,plain,(
% 0.09/0.39 sQ7_spl|sQ6_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.09/0.39 fof(f106,definition,(
% 0.09/0.39 sQ8_spl <=> (multiply(sk_c9,sk_c3)=sk_c8)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f107,plain,(
% 0.09/0.39 multiply(sk_c9,sk_c3)=sk_c8|~sQ8_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f106])).
% 0.09/0.39 fof(f109,plain,(
% 0.09/0.39 sQ8_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.09/0.39 fof(f110,plain,(
% 0.09/0.39 sQ8_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.09/0.39 fof(f111,plain,(
% 0.09/0.39 sQ8_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.09/0.39 fof(f112,plain,(
% 0.09/0.39 sQ8_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.09/0.39 fof(f113,plain,(
% 0.09/0.39 sQ8_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.09/0.39 fof(f114,plain,(
% 0.09/0.39 sQ8_spl|sQ6_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.09/0.39 fof(f115,definition,(
% 0.09/0.39 sQ9_spl <=> (multiply(sk_c2,sk_c9)=sk_c3)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f116,plain,(
% 0.09/0.39 multiply(sk_c2,sk_c9)=sk_c3|~sQ9_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f115])).
% 0.09/0.39 fof(f118,plain,(
% 0.09/0.39 sQ9_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.09/0.39 fof(f119,plain,(
% 0.09/0.39 sQ9_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.09/0.39 fof(f120,plain,(
% 0.09/0.39 sQ9_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.09/0.39 fof(f121,plain,(
% 0.09/0.39 sQ9_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.09/0.39 fof(f122,plain,(
% 0.09/0.39 sQ9_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.09/0.39 fof(f123,plain,(
% 0.09/0.39 sQ9_spl|sQ6_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.09/0.39 fof(f124,definition,(
% 0.09/0.39 sQ10_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f125,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c9|~sQ10_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f124])).
% 0.09/0.39 fof(f127,plain,(
% 0.09/0.39 sQ10_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.09/0.39 fof(f128,plain,(
% 0.09/0.39 sQ10_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.09/0.39 fof(f129,plain,(
% 0.09/0.39 sQ10_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.09/0.39 fof(f130,plain,(
% 0.09/0.39 sQ10_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.09/0.39 fof(f131,plain,(
% 0.09/0.39 sQ10_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.09/0.39 fof(f132,plain,(
% 0.09/0.39 sQ10_spl|sQ6_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.09/0.39 fof(f133,definition,(
% 0.09/0.39 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f134,plain,(
% 0.09/0.39 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ11_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.09/0.40 fof(f136,definition,(
% 0.09/0.40 ![X1,X2]: (sQ12_spl <=> (~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f137,plain,(
% 0.09/0.40 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ12_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.09/0.40 fof(f139,definition,(
% 0.09/0.40 ![X3,X4]: (sQ13_spl <=> (~multiply(X3,X4)=sk_c9|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c9))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f140,plain,(
% 0.09/0.40 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~sQ13_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.09/0.40 fof(f142,plain,(
% 0.09/0.40 sQ11_spl|sQ12_spl|sQ13_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f69,f133,f136,f139])).
% 0.09/0.40 fof(f143,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~sQ13_spl)),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f140])).
% 0.09/0.40 fof(f170,plain,(
% 0.09/0.40 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c5,sk_c8)=sk_c9|~sQ13_spl|~sQ2_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f78,f143])).
% 0.09/0.40 fof(f172,plain,(
% 0.09/0.40 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ13_spl|~sQ0_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f71,f143])).
% 0.09/0.40 fof(f174,definition,(
% 0.09/0.40 sQ14_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c9)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f176,plain,(
% 0.09/0.40 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|sQ14_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f174])).
% 0.09/0.40 fof(f177,plain,(
% 0.09/0.40 ~sQ14_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f170,f174,f81,f139,f77])).
% 0.09/0.40 fof(f181,definition,(
% 0.09/0.40 sQ16_spl <=> (multiply(sk_c9,sk_c8)=sk_c9)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f183,plain,(
% 0.09/0.40 ~multiply(sk_c9,sk_c8)=sk_c9|sQ16_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f181])).
% 0.09/0.40 fof(f185,definition,(
% 0.09/0.40 sQ17_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c9)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f187,plain,(
% 0.09/0.40 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|sQ17_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f185])).
% 0.09/0.40 fof(f188,plain,(
% 0.09/0.40 ~sQ17_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f172,f185,f181,f139,f70])).
% 0.09/0.40 fof(f196,plain,(
% 0.09/0.40 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ12_spl)),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.09/0.40 fof(f198,plain,(
% 0.09/0.40 ~multiply(sk_c9,sk_c7)=sk_c8|~inverse(sk_c6)=sk_c9|~sQ12_spl|~sQ5_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f90,f196])).
% 0.09/0.40 fof(f199,plain,(
% 0.09/0.40 ~multiply(sk_c9,sk_c3)=sk_c8|~inverse(sk_c2)=sk_c9|~sQ12_spl|~sQ9_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f116,f196])).
% 0.09/0.40 fof(f200,plain,(
% 0.09/0.40 ~sQ4_spl|~sQ6_spl|~sQ12_spl|~sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f198,f85,f93,f136,f89])).
% 0.09/0.40 fof(f201,plain,(
% 0.09/0.40 ~sQ8_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f199,f106,f124,f136,f115])).
% 0.09/0.40 fof(f206,plain,(
% 0.09/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.09/0.40 fof(f207,plain,(
% 0.09/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f35,f206])).
% 0.09/0.40 fof(f219,plain,(
% 0.09/0.40 ~multiply(sk_c4,sk_c5)=sk_c9|~sQ2_spl|sQ14_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f78,f176])).
% 0.09/0.40 fof(f220,plain,(
% 0.09/0.40 ~sk_c9=sk_c9|~sQ1_spl|~sQ2_spl|sQ14_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f74,f219])).
% 0.09/0.40 fof(f221,plain,(
% 0.09/0.40 $false|~sQ1_spl|~sQ2_spl|sQ14_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f220])).
% 0.09/0.40 fof(f222,plain,(
% 0.09/0.40 ~sQ1_spl|~sQ2_spl|sQ14_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f221])).
% 0.09/0.40 fof(f228,plain,(
% 0.09/0.40 ~inverse(sk_c1)=sk_c9|~sQ11_spl|~sQ7_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f134,f98])).
% 0.09/0.40 fof(f235,plain,(
% 0.09/0.40 ~sk_c9=sk_c9|~sQ0_spl|~sQ11_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f71,f228])).
% 0.09/0.40 fof(f236,plain,(
% 0.09/0.40 $false|~sQ0_spl|~sQ11_spl|~sQ7_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f235])).
% 0.09/0.40 fof(f237,plain,(
% 0.09/0.40 ~sQ0_spl|~sQ11_spl|~sQ7_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f236])).
% 0.09/0.40 fof(f241,definition,(
% 0.09/0.40 sQ20_spl <=> (sk_c9=sk_c9)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f243,plain,(
% 0.09/0.40 ~sk_c9=sk_c9|sQ20_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f241])).
% 0.09/0.40 fof(f281,plain,(
% 0.09/0.40 sk_c5=multiply(inverse(sk_c4),sk_c9)|~sQ1_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f74,f207])).
% 0.09/0.40 fof(f283,plain,(
% 0.09/0.40 sk_c9=multiply(inverse(sk_c6),sk_c7)|~sQ5_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f90,f207])).
% 0.09/0.40 fof(f290,plain,(
% 0.09/0.40 sk_c5=multiply(sk_c5,sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f78,f281])).
% 0.09/0.40 fof(f293,plain,(
% 0.09/0.40 sk_c9=multiply(sk_c9,sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f94,f283])).
% 0.09/0.40 fof(f294,plain,(
% 0.09/0.40 sk_c9=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f86,f293])).
% 0.09/0.40 fof(f303,plain,(
% 0.09/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f294,f134])).
% 0.09/0.40 fof(f313,plain,(
% 0.09/0.40 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f294,f303])).
% 0.09/0.40 fof(f324,plain,(
% 0.09/0.40 sk_c5=multiply(sk_c5,sk_c8)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f294,f290])).
% 0.09/0.40 fof(f325,plain,(
% 0.09/0.40 sk_c8=multiply(inverse(sk_c5),sk_c5)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f324,f207])).
% 0.09/0.40 fof(f327,plain,(
% 0.09/0.40 sk_c8=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f36,f325])).
% 0.09/0.40 fof(f332,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f327,f35])).
% 0.09/0.40 fof(f349,definition,(
% 0.09/0.40 sQ28_spl <=> (sk_c8=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f351,plain,(
% 0.09/0.40 ~sk_c8=sk_c8|sQ28_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f349])).
% 0.09/0.40 fof(f353,plain,(
% 0.09/0.40 $false|sQ28_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f351])).
% 0.09/0.40 fof(f354,plain,(
% 0.09/0.40 sQ28_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f353])).
% 0.09/0.40 fof(f355,plain,(
% 0.09/0.40 $false|sQ20_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f243])).
% 0.09/0.40 fof(f356,plain,(
% 0.09/0.40 sQ20_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f355])).
% 0.09/0.40 fof(f361,plain,(
% 0.09/0.40 sk_c8=multiply(inverse(sk_c1),sk_c9)|~sQ7_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f98,f207])).
% 0.09/0.40 fof(f363,plain,(
% 0.09/0.40 sk_c8=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f71,f361])).
% 0.09/0.40 fof(f367,plain,(
% 0.09/0.40 sk_c9=multiply(inverse(sk_c2),sk_c3)|~sQ9_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f116,f207])).
% 0.09/0.40 fof(f369,plain,(
% 0.09/0.40 sk_c9=multiply(sk_c9,sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f125,f367])).
% 0.09/0.40 fof(f370,plain,(
% 0.09/0.40 sk_c9=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f107,f369])).
% 0.09/0.40 fof(f375,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c8)=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f370,f98])).
% 0.09/0.40 fof(f376,plain,(
% 0.09/0.40 ~multiply(sk_c9,sk_c8)=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f370,f183])).
% 0.09/0.40 fof(f377,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f370,f71])).
% 0.09/0.40 fof(f383,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c8)=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f370,f376])).
% 0.09/0.40 fof(f429,plain,(
% 0.09/0.40 sk_c8=multiply(sk_c8,sk_c9)|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f370,f363])).
% 0.09/0.40 fof(f430,plain,(
% 0.09/0.40 sk_c8=multiply(sk_c8,sk_c8)|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f370,f429])).
% 0.09/0.40 fof(f456,plain,(
% 0.09/0.40 ~sk_c8=sk_c8|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f430,f383])).
% 0.09/0.40 fof(f457,plain,(
% 0.09/0.40 $false|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f456])).
% 0.09/0.40 fof(f458,plain,(
% 0.09/0.40 ~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f457])).
% 0.09/0.40 fof(f459,plain,(
% 0.09/0.40 ~multiply(sk_c1,sk_c8)=sk_c9|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ17_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f377,f187])).
% 0.09/0.40 fof(f460,plain,(
% 0.09/0.40 ~sk_c8=sk_c9|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ17_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f375,f459])).
% 0.09/0.40 fof(f461,plain,(
% 0.09/0.40 ~sk_c8=sk_c8|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ17_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f370,f460])).
% 0.09/0.40 fof(f462,plain,(
% 0.09/0.40 $false|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ17_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f461])).
% 0.09/0.40 fof(f463,plain,(
% 0.09/0.40 ~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ17_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f462])).
% 0.09/0.40 fof(f529,plain,(
% 0.09/0.40 multiply(sk_c5,sk_c8)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f294,f82])).
% 0.09/0.40 fof(f533,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f529,f37])).
% 0.09/0.40 fof(f535,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c8,X0))|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f332,f533])).
% 0.09/0.40 fof(f536,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c5,X0)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f332,f535])).
% 0.09/0.40 fof(f547,plain,(
% 0.09/0.40 multiply(sk_c4,sk_c5)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f294,f74])).
% 0.09/0.40 fof(f548,plain,(
% 0.09/0.40 sk_c5=multiply(inverse(sk_c4),sk_c8)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f547,f207])).
% 0.09/0.40 fof(f549,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f547,f37])).
% 0.09/0.40 fof(f550,plain,(
% 0.09/0.40 sk_c5=multiply(sk_c5,sk_c8)|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f78,f548])).
% 0.09/0.40 fof(f551,plain,(
% 0.09/0.40 sk_c5=sk_c8|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f536,f550])).
% 0.09/0.40 fof(f554,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c4,multiply(sk_c5,X0))|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f332,f549])).
% 0.09/0.40 fof(f555,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c4,X0)|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f536,f554])).
% 0.09/0.40 fof(f558,plain,(
% 0.09/0.40 inverse(sk_c4)=sk_c8|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f551,f78])).
% 0.09/0.40 fof(f560,plain,(
% 0.09/0.40 ~inverse(sk_c4)=sk_c8|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f555,f313])).
% 0.09/0.40 fof(f570,plain,(
% 0.09/0.40 ~sk_c8=sk_c8|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f558,f560])).
% 0.09/0.40 fof(f571,plain,(
% 0.09/0.40 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f570])).
% 0.09/0.40 fof(f572,plain,(
% 0.09/0.40 ~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f571])).
% 0.09/0.40 fof(f573,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f142,f177,f188,f200,f201,f222,f237,f354,f356,f458,f463,f572])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.067625 seconds
% 0.14/0.44 % CPU time: 0.134088 seconds
% 0.14/0.44 % Total memory used: 13.242 MB
% 0.14/0.44 % Net memory used: 13.225 MB
%------------------------------------------------------------------------------