%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP373-1 : 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:31 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP373-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n015.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sun Sep 20 20:13:21 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.62 % Refutation found
% 0.09/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.62 fof(f1,axiom,(
% 0.09/0.62 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f2,axiom,(
% 0.09/0.62 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f3,axiom,(
% 0.09/0.62 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f4,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f5,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f6,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f7,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f8,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f9,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f24,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c1) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f25,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f26,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f27,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f28,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f29,negated_conjecture,(
% 0.09/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f34,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f35,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f36,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f37,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f38,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f39,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f44,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f45,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f46,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f47,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.62 fof(f48,negated_conjecture,(
% 0.09/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.09/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f49,negated_conjecture,(
% 0.09/0.63 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f54,negated_conjecture,(
% 0.09/0.63 ( inverse(sk_c2) = sk_c9| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.09/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f55,negated_conjecture,(
% 0.09/0.63 ( inverse(sk_c2) = sk_c9| inverse(sk_c3) = sk_c11 ) ),
% 0.09/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f56,negated_conjecture,(
% 0.09/0.63 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.09/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f57,negated_conjecture,(
% 0.09/0.63 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.09/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f58,negated_conjecture,(
% 0.09/0.63 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.09/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f59,negated_conjecture,(
% 0.09/0.63 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f64,negated_conjecture,(
% 0.09/0.63 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( inverse(sk_c11) != sk_c10| multiply(X3,sk_c11) != sk_c10| inverse(X3) != sk_c11| multiply(sk_c11,sk_c9) != sk_c10| multiply(X4,sk_c9) != sk_c10| inverse(X4) != sk_c9| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c11| inverse(X7) != X8| inverse(X8) != X6| multiply(X7,X6) != X8 ) ))),
% 0.09/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.63 fof(f65,plain,(
% 0.09/0.63 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.63 fof(f66,plain,(
% 0.09/0.63 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.63 fof(f67,plain,(
% 0.09/0.63 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.63 fof(f68,plain,(
% 0.09/0.63 inverse(sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.63 fof(f69,plain,(
% 0.09/0.63 inverse(sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.63 fof(f70,plain,(
% 0.09/0.63 inverse(sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.63 fof(f71,plain,(
% 0.09/0.63 inverse(sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.63 fof(f72,plain,(
% 0.09/0.63 inverse(sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.63 fof(f73,plain,(
% 0.09/0.63 inverse(sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.63 fof(f88,plain,(
% 0.09/0.63 inverse(sk_c1)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.63 fof(f89,plain,(
% 0.09/0.63 inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.63 fof(f90,plain,(
% 0.09/0.63 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.63 fof(f91,plain,(
% 0.09/0.63 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.63 fof(f92,plain,(
% 0.09/0.63 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.63 fof(f93,plain,(
% 0.09/0.63 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.63 fof(f98,plain,(
% 0.09/0.63 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.63 fof(f99,plain,(
% 0.09/0.63 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.63 fof(f100,plain,(
% 0.09/0.63 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.63 fof(f101,plain,(
% 0.09/0.63 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.63 fof(f102,plain,(
% 0.09/0.63 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.63 fof(f103,plain,(
% 0.09/0.63 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.63 fof(f108,plain,(
% 0.09/0.63 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/0.63 fof(f109,plain,(
% 0.09/0.63 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f45])).
% 0.09/0.63 fof(f110,plain,(
% 0.09/0.63 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f46])).
% 0.09/0.63 fof(f111,plain,(
% 0.09/0.63 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f47])).
% 0.09/0.63 fof(f112,plain,(
% 0.09/0.63 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.63 fof(f113,plain,(
% 0.09/0.63 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f49])).
% 0.09/0.63 fof(f118,plain,(
% 0.09/0.63 inverse(sk_c2)=sk_c9|multiply(sk_c3,sk_c11)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f54])).
% 0.09/0.63 fof(f119,plain,(
% 0.09/0.63 inverse(sk_c2)=sk_c9|inverse(sk_c3)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f55])).
% 0.09/0.63 fof(f120,plain,(
% 0.09/0.63 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f56])).
% 0.09/0.63 fof(f121,plain,(
% 0.09/0.63 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f57])).
% 0.09/0.63 fof(f122,plain,(
% 0.09/0.63 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c11),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.63 fof(f123,plain,(
% 0.09/0.63 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.63 fof(f128,plain,(
% 0.09/0.63 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((((![X3]: ((~inverse(sk_c11)=sk_c10|~multiply(X3,sk_c11)=sk_c10)|~inverse(X3)=sk_c11))|~multiply(sk_c11,sk_c9)=sk_c10)|~multiply(X4,sk_c9)=sk_c10)|~inverse(X4)=sk_c9))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c11)|~inverse(X7)=X8)|~inverse(X8)=X6)|~multiply(X7,X6)=X8)),
% 0.09/0.63 inference(miniscoping,[status(thm)],[f64])).
% 0.09/0.63 fof(f129,plain,(
% 0.09/0.63 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(sk_c11)=sk_c10|~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(sk_c11,sk_c9)=sk_c10|~multiply(X1,sk_c9)=sk_c10|~inverse(X1)=sk_c9|~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.09/0.63 inference(cnf_transformation,[status(thm)],[f128])).
% 0.09/0.63 fof(f130,definition,(
% 0.09/0.63 sQ0_spl <=> (inverse(sk_c11)=sk_c10)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f131,plain,(
% 0.09/0.63 inverse(sk_c11)=sk_c10|~sQ0_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f130])).
% 0.09/0.63 fof(f132,plain,(
% 0.09/0.63 ~inverse(sk_c11)=sk_c10|sQ0_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f130])).
% 0.09/0.63 fof(f133,definition,(
% 0.09/0.63 sQ1_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f134,plain,(
% 0.09/0.63 multiply(sk_c3,sk_c11)=sk_c10|~sQ1_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f133])).
% 0.09/0.63 fof(f136,plain,(
% 0.09/0.63 sQ0_spl|sQ1_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f68,f130,f133])).
% 0.09/0.63 fof(f137,definition,(
% 0.09/0.63 sQ2_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f138,plain,(
% 0.09/0.63 inverse(sk_c3)=sk_c11|~sQ2_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f137])).
% 0.09/0.63 fof(f140,plain,(
% 0.09/0.63 sQ0_spl|sQ2_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f69,f130,f137])).
% 0.09/0.63 fof(f141,definition,(
% 0.09/0.63 sQ3_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f142,plain,(
% 0.09/0.63 multiply(sk_c4,sk_c10)=sk_c9|~sQ3_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f141])).
% 0.09/0.63 fof(f144,plain,(
% 0.09/0.63 sQ0_spl|sQ3_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f70,f130,f141])).
% 0.09/0.63 fof(f145,definition,(
% 0.09/0.63 sQ4_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f146,plain,(
% 0.09/0.63 inverse(sk_c4)=sk_c10|~sQ4_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f145])).
% 0.09/0.63 fof(f148,plain,(
% 0.09/0.63 sQ0_spl|sQ4_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f71,f130,f145])).
% 0.09/0.63 fof(f149,definition,(
% 0.09/0.63 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c11)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f150,plain,(
% 0.09/0.63 multiply(sk_c5,sk_c8)=sk_c11|~sQ5_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f149])).
% 0.09/0.63 fof(f152,plain,(
% 0.09/0.63 sQ0_spl|sQ5_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f72,f130,f149])).
% 0.09/0.63 fof(f153,definition,(
% 0.09/0.63 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f154,plain,(
% 0.09/0.63 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f153])).
% 0.09/0.63 fof(f156,plain,(
% 0.09/0.63 sQ0_spl|sQ6_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f73,f130,f153])).
% 0.09/0.63 fof(f186,definition,(
% 0.09/0.63 sQ12_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f187,plain,(
% 0.09/0.63 inverse(sk_c1)=sk_c11|~sQ12_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f186])).
% 0.09/0.63 fof(f189,plain,(
% 0.09/0.63 sQ12_spl|sQ1_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f88,f186,f133])).
% 0.09/0.63 fof(f190,plain,(
% 0.09/0.63 sQ12_spl|sQ2_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f89,f186,f137])).
% 0.09/0.63 fof(f191,plain,(
% 0.09/0.63 sQ12_spl|sQ3_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f90,f186,f141])).
% 0.09/0.63 fof(f192,plain,(
% 0.09/0.63 sQ12_spl|sQ4_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f91,f186,f145])).
% 0.09/0.63 fof(f193,plain,(
% 0.09/0.63 sQ12_spl|sQ5_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f92,f186,f149])).
% 0.09/0.63 fof(f194,plain,(
% 0.09/0.63 sQ12_spl|sQ6_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f93,f186,f153])).
% 0.09/0.63 fof(f199,definition,(
% 0.09/0.63 sQ13_spl <=> (multiply(sk_c11,sk_c9)=sk_c10)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f200,plain,(
% 0.09/0.63 multiply(sk_c11,sk_c9)=sk_c10|~sQ13_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f199])).
% 0.09/0.63 fof(f201,plain,(
% 0.09/0.63 ~multiply(sk_c11,sk_c9)=sk_c10|sQ13_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f199])).
% 0.09/0.63 fof(f202,plain,(
% 0.09/0.63 sQ13_spl|sQ1_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f98,f199,f133])).
% 0.09/0.63 fof(f203,plain,(
% 0.09/0.63 sQ13_spl|sQ2_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f99,f199,f137])).
% 0.09/0.63 fof(f204,plain,(
% 0.09/0.63 sQ13_spl|sQ3_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f100,f199,f141])).
% 0.09/0.63 fof(f205,plain,(
% 0.09/0.63 sQ13_spl|sQ4_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f101,f199,f145])).
% 0.09/0.63 fof(f206,plain,(
% 0.09/0.63 sQ13_spl|sQ5_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f102,f199,f149])).
% 0.09/0.63 fof(f207,plain,(
% 0.09/0.63 sQ13_spl|sQ6_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f103,f199,f153])).
% 0.09/0.63 fof(f212,definition,(
% 0.09/0.63 sQ14_spl <=> (multiply(sk_c2,sk_c9)=sk_c10)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f213,plain,(
% 0.09/0.63 multiply(sk_c2,sk_c9)=sk_c10|~sQ14_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f212])).
% 0.09/0.63 fof(f215,plain,(
% 0.09/0.63 sQ14_spl|sQ1_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f108,f212,f133])).
% 0.09/0.63 fof(f216,plain,(
% 0.09/0.63 sQ14_spl|sQ2_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f109,f212,f137])).
% 0.09/0.63 fof(f217,plain,(
% 0.09/0.63 sQ14_spl|sQ3_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f110,f212,f141])).
% 0.09/0.63 fof(f218,plain,(
% 0.09/0.63 sQ14_spl|sQ4_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f111,f212,f145])).
% 0.09/0.63 fof(f219,plain,(
% 0.09/0.63 sQ14_spl|sQ5_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f112,f212,f149])).
% 0.09/0.63 fof(f220,plain,(
% 0.09/0.63 sQ14_spl|sQ6_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f113,f212,f153])).
% 0.09/0.63 fof(f225,definition,(
% 0.09/0.63 sQ15_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f226,plain,(
% 0.09/0.63 inverse(sk_c2)=sk_c9|~sQ15_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f225])).
% 0.09/0.63 fof(f228,plain,(
% 0.09/0.63 sQ15_spl|sQ1_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f118,f225,f133])).
% 0.09/0.63 fof(f229,plain,(
% 0.09/0.63 sQ15_spl|sQ2_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f119,f225,f137])).
% 0.09/0.63 fof(f230,plain,(
% 0.09/0.63 sQ15_spl|sQ3_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f120,f225,f141])).
% 0.09/0.63 fof(f231,plain,(
% 0.09/0.63 sQ15_spl|sQ4_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f121,f225,f145])).
% 0.09/0.63 fof(f232,plain,(
% 0.09/0.63 sQ15_spl|sQ5_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f122,f225,f149])).
% 0.09/0.63 fof(f233,plain,(
% 0.09/0.63 sQ15_spl|sQ6_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f123,f225,f153])).
% 0.09/0.63 fof(f238,definition,(
% 0.09/0.63 ![X0]: (sQ16_spl <=> (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11))),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f239,plain,(
% 0.09/0.63 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ16_spl)),
% 0.09/0.63 inference(component_clause,[status(thm)],[f238])).
% 0.09/0.63 fof(f241,definition,(
% 0.09/0.63 ![X1]: (sQ17_spl <=> (~multiply(X1,sk_c9)=sk_c10|~inverse(X1)=sk_c9))),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f242,plain,(
% 0.09/0.63 ![X0]: (~multiply(X0,sk_c9)=sk_c10|~inverse(X0)=sk_c9|~sQ17_spl)),
% 0.09/0.63 inference(component_clause,[status(thm)],[f241])).
% 0.09/0.63 fof(f244,definition,(
% 0.09/0.63 ![X3]: (sQ18_spl <=> (~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10))),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f245,plain,(
% 0.09/0.63 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ18_spl)),
% 0.09/0.63 inference(component_clause,[status(thm)],[f244])).
% 0.09/0.63 fof(f247,definition,(
% 0.09/0.63 ![X4,X5,X6,X7]: (sQ19_spl <=> (~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7))),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f248,plain,(
% 0.09/0.63 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~sQ19_spl)),
% 0.09/0.63 inference(component_clause,[status(thm)],[f247])).
% 0.09/0.63 fof(f250,plain,(
% 0.09/0.63 ~sQ0_spl|sQ16_spl|~sQ13_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f129,f130,f238,f199,f241,f244,f247])).
% 0.09/0.63 fof(f251,plain,(
% 0.09/0.63 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ19_spl)),
% 0.09/0.63 inference(destructive_equality_resolution,[status(thm)],[f248])).
% 0.09/0.63 fof(f271,plain,(
% 0.09/0.63 ![X0]: (~multiply(sk_c2,inverse(sk_c2))=sk_c11|~multiply(inverse(sk_c2),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c2)|~multiply(X0,sk_c9)=inverse(X0)|~sQ19_spl|~sQ15_spl)),
% 0.09/0.63 inference(paramodulation,[status(thm)],[f226,f251])).
% 0.09/0.63 fof(f342,definition,(
% 0.09/0.63 sQ41_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c11)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f344,plain,(
% 0.09/0.63 ~multiply(sk_c2,inverse(sk_c2))=sk_c11|sQ41_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f342])).
% 0.09/0.63 fof(f345,definition,(
% 0.09/0.63 sQ42_spl <=> (multiply(inverse(sk_c2),sk_c10)=sk_c11)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f347,plain,(
% 0.09/0.63 ~multiply(inverse(sk_c2),sk_c10)=sk_c11|sQ42_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f345])).
% 0.09/0.63 fof(f348,definition,(
% 0.09/0.63 ![X0]: (sQ43_spl <=> (~inverse(inverse(X0))=inverse(sk_c2)|~multiply(X0,sk_c9)=inverse(X0)))),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f349,plain,(
% 0.09/0.63 ![X0]: (~inverse(inverse(X0))=inverse(sk_c2)|~multiply(X0,sk_c9)=inverse(X0)|~sQ43_spl)),
% 0.09/0.63 inference(component_clause,[status(thm)],[f348])).
% 0.09/0.63 fof(f351,plain,(
% 0.09/0.63 ~sQ41_spl|~sQ42_spl|sQ43_spl|~sQ19_spl|~sQ15_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f271,f342,f345,f348,f247,f225])).
% 0.09/0.63 fof(f352,plain,(
% 0.09/0.63 ![X0]: (~inverse(inverse(X0))=sk_c9|~multiply(X0,sk_c9)=inverse(X0)|~sQ15_spl|~sQ43_spl)),
% 0.09/0.63 inference(forward_demodulation,[status(thm)],[f226,f349])).
% 0.09/0.63 fof(f353,plain,(
% 0.09/0.63 ~multiply(sk_c9,sk_c10)=sk_c11|~sQ15_spl|sQ42_spl),
% 0.09/0.63 inference(forward_demodulation,[status(thm)],[f226,f347])).
% 0.09/0.63 fof(f354,plain,(
% 0.09/0.63 ~multiply(sk_c2,sk_c9)=sk_c11|~sQ15_spl|sQ41_spl),
% 0.09/0.63 inference(forward_demodulation,[status(thm)],[f226,f344])).
% 0.09/0.63 fof(f367,plain,(
% 0.09/0.63 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.63 inference(paramodulation,[status(thm)],[f66,f67])).
% 0.09/0.63 fof(f368,plain,(
% 0.09/0.63 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.63 inference(forward_demodulation,[status(thm)],[f65,f367])).
% 0.09/0.63 fof(f376,plain,(
% 0.09/0.63 ~identity=sk_c9|~inverse(inverse(sk_c10))=sk_c10|~sQ18_spl),
% 0.09/0.63 inference(paramodulation,[status(thm)],[f66,f245])).
% 0.09/0.63 fof(f377,plain,(
% 0.09/0.63 ~sk_c10=sk_c9|~inverse(identity)=sk_c10|~sQ18_spl),
% 0.09/0.63 inference(paramodulation,[status(thm)],[f65,f245])).
% 0.09/0.63 fof(f379,plain,(
% 0.09/0.63 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c10|~sQ18_spl|~sQ3_spl),
% 0.09/0.63 inference(paramodulation,[status(thm)],[f142,f245])).
% 0.09/0.63 fof(f381,definition,(
% 0.09/0.63 sQ44_spl <=> (identity=sk_c9)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f382,plain,(
% 0.09/0.63 identity=sk_c9|~sQ44_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f381])).
% 0.09/0.63 fof(f383,plain,(
% 0.09/0.63 ~identity=sk_c9|sQ44_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f381])).
% 0.09/0.63 fof(f384,definition,(
% 0.09/0.63 sQ45_spl <=> (inverse(inverse(sk_c10))=sk_c10)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f386,plain,(
% 0.09/0.63 ~inverse(inverse(sk_c10))=sk_c10|sQ45_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f384])).
% 0.09/0.63 fof(f387,plain,(
% 0.09/0.63 ~sQ44_spl|~sQ45_spl|~sQ18_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f376,f381,f384,f244])).
% 0.09/0.63 fof(f388,definition,(
% 0.09/0.63 sQ46_spl <=> (sk_c10=sk_c9)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f389,plain,(
% 0.09/0.63 sk_c10=sk_c9|~sQ46_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f388])).
% 0.09/0.63 fof(f390,plain,(
% 0.09/0.63 ~sk_c10=sk_c9|sQ46_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f388])).
% 0.09/0.63 fof(f391,definition,(
% 0.09/0.63 sQ47_spl <=> (inverse(identity)=sk_c10)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f394,plain,(
% 0.09/0.63 ~sQ46_spl|~sQ47_spl|~sQ18_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f377,f388,f391,f244])).
% 0.09/0.63 fof(f395,definition,(
% 0.09/0.63 sQ48_spl <=> (sk_c9=sk_c9)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f397,plain,(
% 0.09/0.63 ~sk_c9=sk_c9|sQ48_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f395])).
% 0.09/0.63 fof(f398,plain,(
% 0.09/0.63 ~sQ48_spl|~sQ4_spl|~sQ18_spl|~sQ3_spl),
% 0.09/0.63 inference(split_clause,[status(thm)],[f379,f395,f145,f244,f141])).
% 0.09/0.63 fof(f399,definition,(
% 0.09/0.63 sQ49_spl <=> (sk_c11=sk_c9)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f401,plain,(
% 0.09/0.63 ~sk_c11=sk_c9|sQ49_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f399])).
% 0.09/0.63 fof(f406,plain,(
% 0.09/0.63 $false|sQ48_spl),
% 0.09/0.63 inference(trivial_equality_resolution,[status(thm)],[f397])).
% 0.09/0.63 fof(f407,plain,(
% 0.09/0.63 sQ48_spl),
% 0.09/0.63 inference(contradiction_clause,[status(thm)],[f406])).
% 0.09/0.63 fof(f408,plain,(
% 0.09/0.63 ~inverse(sk_c11)=sk_c9|~sQ17_spl|~sQ13_spl),
% 0.09/0.63 inference(resolution,[status(thm)],[f242,f200])).
% 0.09/0.63 fof(f409,plain,(
% 0.09/0.63 ~inverse(sk_c2)=sk_c9|~sQ17_spl|~sQ14_spl),
% 0.09/0.63 inference(resolution,[status(thm)],[f242,f213])).
% 0.09/0.63 fof(f415,plain,(
% 0.09/0.63 ~sk_c10=sk_c9|~sQ0_spl|~sQ17_spl|~sQ13_spl),
% 0.09/0.63 inference(forward_demodulation,[status(thm)],[f131,f408])).
% 0.09/0.63 fof(f416,plain,(
% 0.09/0.63 ~sk_c9=sk_c9|~sQ15_spl|~sQ17_spl|~sQ14_spl),
% 0.09/0.63 inference(forward_demodulation,[status(thm)],[f226,f409])).
% 0.09/0.63 fof(f417,plain,(
% 0.09/0.63 $false|~sQ15_spl|~sQ17_spl|~sQ14_spl),
% 0.09/0.63 inference(trivial_equality_resolution,[status(thm)],[f416])).
% 0.09/0.63 fof(f418,plain,(
% 0.09/0.63 ~sQ15_spl|~sQ17_spl|~sQ14_spl),
% 0.09/0.63 inference(contradiction_clause,[status(thm)],[f417])).
% 0.09/0.63 fof(f421,plain,(
% 0.09/0.63 ~identity=sk_c10|~inverse(inverse(sk_c11))=sk_c11|~sQ16_spl),
% 0.09/0.63 inference(paramodulation,[status(thm)],[f66,f239])).
% 0.09/0.63 fof(f424,plain,(
% 0.09/0.63 ~sk_c10=sk_c10|~inverse(sk_c3)=sk_c11|~sQ16_spl|~sQ1_spl),
% 0.09/0.63 inference(paramodulation,[status(thm)],[f134,f239])).
% 0.09/0.63 fof(f426,definition,(
% 0.09/0.63 sQ51_spl <=> (identity=sk_c10)),
% 0.09/0.63 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.09/0.63 fof(f428,plain,(
% 0.09/0.63 ~identity=sk_c10|sQ51_spl),
% 0.09/0.63 inference(component_clause,[status(thm)],[f426])).
% 0.09/0.63 fof(f429,definition,(
% 0.14/0.63 sQ52_spl <=> (inverse(inverse(sk_c11))=sk_c11)),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f431,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c11))=sk_c11|sQ52_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f429])).
% 0.14/0.63 fof(f432,plain,(
% 0.14/0.63 ~sQ51_spl|~sQ52_spl|~sQ16_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f421,f426,f429,f238])).
% 0.14/0.63 fof(f433,definition,(
% 0.14/0.63 sQ53_spl <=> (sk_c11=sk_c10)),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f435,plain,(
% 0.14/0.63 ~sk_c11=sk_c10|sQ53_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f433])).
% 0.14/0.63 fof(f440,definition,(
% 0.14/0.63 sQ55_spl <=> (sk_c10=sk_c10)),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f442,plain,(
% 0.14/0.63 ~sk_c10=sk_c10|sQ55_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f440])).
% 0.14/0.63 fof(f443,plain,(
% 0.14/0.63 ~sQ55_spl|~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f424,f440,f137,f238,f133])).
% 0.14/0.63 fof(f445,plain,(
% 0.14/0.63 $false|sQ55_spl),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f442])).
% 0.14/0.63 fof(f446,plain,(
% 0.14/0.63 sQ55_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f445])).
% 0.14/0.63 fof(f461,plain,(
% 0.14/0.63 multiply(sk_c11,sk_c1)=identity|~sQ12_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f187,f66])).
% 0.14/0.63 fof(f464,plain,(
% 0.14/0.63 ~inverse(sk_c10)=sk_c11|~sQ0_spl|sQ52_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f131,f431])).
% 0.14/0.63 fof(f476,plain,(
% 0.14/0.63 ~multiply(identity,inverse(identity))=sk_c11|~multiply(inverse(identity),sk_c10)=sk_c11|~inverse(inverse(identity))=inverse(identity)|~sQ19_spl),
% 0.14/0.63 inference(resolution,[status(thm)],[f251,f65])).
% 0.14/0.63 fof(f488,definition,(
% 0.14/0.63 sQ56_spl <=> (multiply(identity,inverse(identity))=sk_c11)),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f490,plain,(
% 0.14/0.63 ~multiply(identity,inverse(identity))=sk_c11|sQ56_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f488])).
% 0.14/0.63 fof(f491,definition,(
% 0.14/0.63 sQ57_spl <=> (multiply(inverse(identity),sk_c10)=sk_c11)),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f493,plain,(
% 0.14/0.63 ~multiply(inverse(identity),sk_c10)=sk_c11|sQ57_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f491])).
% 0.14/0.63 fof(f494,definition,(
% 0.14/0.63 sQ58_spl <=> (inverse(inverse(identity))=inverse(identity))),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f496,plain,(
% 0.14/0.63 ~inverse(inverse(identity))=inverse(identity)|sQ58_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f494])).
% 0.14/0.63 fof(f497,plain,(
% 0.14/0.63 ~sQ56_spl|~sQ57_spl|~sQ58_spl|~sQ19_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f476,f488,f491,f494,f247])).
% 0.14/0.63 fof(f506,plain,(
% 0.14/0.63 ~inverse(identity)=sk_c11|sQ56_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f65,f490])).
% 0.14/0.63 fof(f548,plain,(
% 0.14/0.63 sk_c10=multiply(inverse(sk_c4),sk_c9)|~sQ3_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f142,f368])).
% 0.14/0.63 fof(f558,plain,(
% 0.14/0.63 sk_c11=multiply(inverse(sk_c3),sk_c10)|~sQ1_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f134,f368])).
% 0.14/0.63 fof(f560,plain,(
% 0.14/0.63 sk_c8=multiply(inverse(sk_c5),sk_c11)|~sQ5_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f150,f368])).
% 0.14/0.63 fof(f565,plain,(
% 0.14/0.63 sk_c10=multiply(sk_c10,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f146,f548])).
% 0.14/0.63 fof(f567,plain,(
% 0.14/0.63 sk_c11=multiply(sk_c11,sk_c10)|~sQ2_spl|~sQ1_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f138,f558])).
% 0.14/0.63 fof(f571,plain,(
% 0.14/0.63 sk_c8=multiply(sk_c8,sk_c11)|~sQ6_spl|~sQ5_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f154,f560])).
% 0.14/0.63 fof(f579,plain,(
% 0.14/0.63 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ4_spl|~sQ3_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f565,f368])).
% 0.14/0.63 fof(f581,plain,(
% 0.14/0.63 sk_c9=identity|~sQ4_spl|~sQ3_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f66,f579])).
% 0.14/0.63 fof(f594,plain,(
% 0.14/0.63 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl)),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f581,f66])).
% 0.14/0.63 fof(f595,plain,(
% 0.14/0.63 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f581,f65])).
% 0.14/0.63 fof(f616,plain,(
% 0.14/0.63 sk_c11=multiply(inverse(sk_c8),sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f571,f368])).
% 0.14/0.63 fof(f619,plain,(
% 0.14/0.63 sk_c11=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f594,f616])).
% 0.14/0.63 fof(f632,plain,(
% 0.14/0.63 ~inverse(sk_c9)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f619,f132])).
% 0.14/0.63 fof(f635,plain,(
% 0.14/0.63 multiply(sk_c9,sk_c9)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f619,f200])).
% 0.14/0.63 fof(f637,plain,(
% 0.14/0.63 inverse(sk_c3)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f619,f138])).
% 0.14/0.63 fof(f640,plain,(
% 0.14/0.63 multiply(sk_c3,sk_c9)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f619,f134])).
% 0.14/0.63 fof(f646,plain,(
% 0.14/0.63 sk_c9=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f595,f635])).
% 0.14/0.63 fof(f647,plain,(
% 0.14/0.63 $false|sQ46_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl),
% 0.14/0.63 inference(forward_subsumption_resolution,[status(thm)],[f646,f390])).
% 0.14/0.63 fof(f648,plain,(
% 0.14/0.63 sQ46_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f647])).
% 0.14/0.63 fof(f649,plain,(
% 0.14/0.63 ~multiply(sk_c9,sk_c9)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ13_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f619,f201])).
% 0.14/0.63 fof(f650,plain,(
% 0.14/0.63 ~sk_c9=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ13_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f595,f649])).
% 0.14/0.63 fof(f651,plain,(
% 0.14/0.63 multiply(sk_c9,sk_c3)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f637,f594])).
% 0.14/0.63 fof(f653,plain,(
% 0.14/0.63 sk_c3=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f595,f651])).
% 0.14/0.63 fof(f655,plain,(
% 0.14/0.63 inverse(sk_c9)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f653,f637])).
% 0.14/0.63 fof(f664,plain,(
% 0.14/0.63 sk_c9=multiply(sk_c11,sk_c10)|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f619,f567])).
% 0.14/0.63 fof(f665,plain,(
% 0.14/0.63 sk_c9=multiply(sk_c9,sk_c10)|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f619,f664])).
% 0.14/0.63 fof(f666,plain,(
% 0.14/0.63 sk_c9=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f595,f665])).
% 0.14/0.63 fof(f667,plain,(
% 0.14/0.63 $false|sQ13_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.63 inference(forward_subsumption_resolution,[status(thm)],[f666,f650])).
% 0.14/0.63 fof(f668,plain,(
% 0.14/0.63 sQ13_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f667])).
% 0.14/0.63 fof(f680,plain,(
% 0.14/0.63 ~sk_c9=sk_c10|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f655,f632])).
% 0.14/0.63 fof(f684,plain,(
% 0.14/0.63 multiply(sk_c9,sk_c9)=sk_c10|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f653,f640])).
% 0.14/0.63 fof(f690,plain,(
% 0.14/0.63 sk_c9=sk_c10|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f595,f684])).
% 0.14/0.63 fof(f696,plain,(
% 0.14/0.63 ~sk_c9=sk_c9|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f690,f680])).
% 0.14/0.63 fof(f697,plain,(
% 0.14/0.63 $false|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f696])).
% 0.14/0.63 fof(f698,plain,(
% 0.14/0.63 ~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f697])).
% 0.14/0.63 fof(f713,plain,(
% 0.14/0.63 ~sQ46_spl|~sQ0_spl|~sQ17_spl|~sQ13_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f415,f388,f130,f241,f199])).
% 0.14/0.63 fof(f715,definition,(
% 0.14/0.63 sQ59_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f716,plain,(
% 0.14/0.63 inverse(inverse(sk_c9))=sk_c9|~sQ59_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f715])).
% 0.14/0.63 fof(f717,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c9))=sk_c9|sQ59_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f715])).
% 0.14/0.63 fof(f724,definition,(
% 0.14/0.63 sQ61_spl <=> (inverse(sk_c11)=sk_c9)),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f725,plain,(
% 0.14/0.63 inverse(sk_c11)=sk_c9|~sQ61_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f724])).
% 0.14/0.63 fof(f726,plain,(
% 0.14/0.63 ~inverse(sk_c11)=sk_c9|sQ61_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f724])).
% 0.14/0.63 fof(f755,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c9))=inverse(identity)|~sQ4_spl|~sQ3_spl|sQ58_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f581,f496])).
% 0.14/0.63 fof(f756,plain,(
% 0.14/0.63 ~inverse(sk_c9)=inverse(identity)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ58_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f655,f755])).
% 0.14/0.63 fof(f757,plain,(
% 0.14/0.63 ~sk_c9=inverse(identity)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ58_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f655,f756])).
% 0.14/0.63 fof(f758,plain,(
% 0.14/0.63 ~sk_c9=inverse(sk_c9)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ58_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f581,f757])).
% 0.14/0.63 fof(f759,plain,(
% 0.14/0.63 ~sk_c9=sk_c9|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ58_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f655,f758])).
% 0.14/0.63 fof(f760,plain,(
% 0.14/0.63 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ58_spl),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f759])).
% 0.14/0.63 fof(f761,plain,(
% 0.14/0.63 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ58_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f760])).
% 0.14/0.63 fof(f762,plain,(
% 0.14/0.63 ~multiply(inverse(sk_c9),sk_c10)=sk_c11|~sQ4_spl|~sQ3_spl|sQ57_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f581,f493])).
% 0.14/0.63 fof(f763,plain,(
% 0.14/0.63 ~multiply(sk_c9,sk_c10)=sk_c11|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ57_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f655,f762])).
% 0.14/0.63 fof(f764,plain,(
% 0.14/0.63 ~sk_c10=sk_c11|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ57_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f595,f763])).
% 0.14/0.63 fof(f765,plain,(
% 0.14/0.63 ~sk_c9=sk_c11|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ57_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f690,f764])).
% 0.14/0.63 fof(f766,plain,(
% 0.14/0.63 ~sk_c9=sk_c9|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ57_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f619,f765])).
% 0.14/0.63 fof(f767,plain,(
% 0.14/0.63 $false|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ57_spl),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f766])).
% 0.14/0.63 fof(f768,plain,(
% 0.14/0.63 ~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ57_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f767])).
% 0.14/0.63 fof(f769,plain,(
% 0.14/0.63 ~inverse(sk_c9)=sk_c11|~sQ4_spl|~sQ3_spl|sQ56_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f581,f506])).
% 0.14/0.63 fof(f770,plain,(
% 0.14/0.63 ~sk_c9=sk_c11|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ56_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f655,f769])).
% 0.14/0.63 fof(f771,plain,(
% 0.14/0.63 ~sk_c9=sk_c9|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ56_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f619,f770])).
% 0.14/0.63 fof(f772,plain,(
% 0.14/0.63 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ56_spl),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f771])).
% 0.14/0.63 fof(f773,plain,(
% 0.14/0.63 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ56_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f772])).
% 0.14/0.63 fof(f806,plain,(
% 0.14/0.63 sk_c9=multiply(inverse(sk_c11),sk_c10)|~sQ13_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f200,f368])).
% 0.14/0.63 fof(f808,plain,(
% 0.14/0.63 sk_c9=multiply(sk_c10,sk_c10)|~sQ0_spl|~sQ13_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f131,f806])).
% 0.14/0.63 fof(f817,plain,(
% 0.14/0.63 ~sk_c10=sk_c9|~sQ0_spl|sQ61_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f131,f726])).
% 0.14/0.63 fof(f832,plain,(
% 0.14/0.63 multiply(sk_c9,inverse(sk_c9))=identity|~sQ59_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f716,f66])).
% 0.14/0.63 fof(f848,plain,(
% 0.14/0.63 sk_c9=multiply(inverse(sk_c2),sk_c10)|~sQ14_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f213,f368])).
% 0.14/0.63 fof(f850,plain,(
% 0.14/0.63 sk_c9=multiply(sk_c9,sk_c10)|~sQ15_spl|~sQ14_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f226,f848])).
% 0.14/0.63 fof(f852,plain,(
% 0.14/0.63 ~sk_c10=sk_c11|~sQ14_spl|~sQ15_spl|sQ41_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f213,f354])).
% 0.14/0.63 fof(f885,plain,(
% 0.14/0.63 sk_c1=multiply(inverse(sk_c11),identity)|~sQ12_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f461,f368])).
% 0.14/0.63 fof(f887,plain,(
% 0.14/0.63 sk_c1=multiply(sk_c10,identity)|~sQ0_spl|~sQ12_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f131,f885])).
% 0.14/0.63 fof(f905,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c2))=sk_c9|~sk_c10=inverse(sk_c2)|~sQ15_spl|~sQ43_spl|~sQ14_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f213,f352])).
% 0.14/0.63 fof(f911,definition,(
% 0.14/0.63 sQ72_spl <=> (inverse(inverse(sk_c2))=sk_c9)),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f913,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c2))=sk_c9|sQ72_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f911])).
% 0.14/0.63 fof(f914,definition,(
% 0.14/0.63 sQ73_spl <=> (sk_c10=inverse(sk_c2))),
% 0.14/0.63 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.14/0.63 fof(f916,plain,(
% 0.14/0.63 ~sk_c10=inverse(sk_c2)|sQ73_spl),
% 0.14/0.63 inference(component_clause,[status(thm)],[f914])).
% 0.14/0.63 fof(f917,plain,(
% 0.14/0.63 ~sQ72_spl|~sQ73_spl|~sQ15_spl|~sQ43_spl|~sQ14_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f905,f911,f914,f225,f348,f212])).
% 0.14/0.63 fof(f938,plain,(
% 0.14/0.63 ~sk_c10=sk_c9|~sQ15_spl|sQ73_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f226,f916])).
% 0.14/0.63 fof(f939,plain,(
% 0.14/0.63 ~inverse(sk_c9)=sk_c9|~sQ15_spl|sQ72_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f226,f913])).
% 0.14/0.63 fof(f981,plain,(
% 0.14/0.63 ~sk_c9=sk_c11|~sQ14_spl|~sQ15_spl|sQ42_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f850,f353])).
% 0.14/0.63 fof(f982,plain,(
% 0.14/0.63 sk_c10=multiply(inverse(sk_c9),sk_c9)|~sQ15_spl|~sQ14_spl),
% 0.14/0.63 inference(paramodulation,[status(thm)],[f850,f368])).
% 0.14/0.63 fof(f984,plain,(
% 0.14/0.63 sk_c10=identity|~sQ15_spl|~sQ14_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f66,f982])).
% 0.14/0.63 fof(f985,plain,(
% 0.14/0.63 $false|sQ51_spl|~sQ15_spl|~sQ14_spl),
% 0.14/0.63 inference(forward_subsumption_resolution,[status(thm)],[f984,f428])).
% 0.14/0.63 fof(f986,plain,(
% 0.14/0.63 sQ51_spl|~sQ15_spl|~sQ14_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f985])).
% 0.14/0.63 fof(f998,plain,(
% 0.14/0.63 ![X0]: (multiply(sk_c10,X0)=X0|~sQ15_spl|~sQ14_spl)),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f984,f65])).
% 0.14/0.63 fof(f1001,plain,(
% 0.14/0.63 ~sk_c10=sk_c9|~sQ15_spl|~sQ14_spl|sQ44_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f984,f383])).
% 0.14/0.63 fof(f1002,plain,(
% 0.14/0.63 sk_c9=sk_c10|~sQ15_spl|~sQ14_spl|~sQ0_spl|~sQ13_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f998,f808])).
% 0.14/0.63 fof(f1007,plain,(
% 0.14/0.63 sQ46_spl|~sQ15_spl|~sQ14_spl|~sQ0_spl|~sQ13_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f1002,f388,f225,f212,f130,f199])).
% 0.14/0.63 fof(f1019,plain,(
% 0.14/0.63 ~sQ46_spl|~sQ15_spl|~sQ14_spl|sQ44_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f1001,f388,f225,f212,f381])).
% 0.14/0.63 fof(f1020,plain,(
% 0.14/0.63 ~sQ46_spl|~sQ15_spl|sQ73_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f938,f388,f225,f914])).
% 0.14/0.63 fof(f1021,plain,(
% 0.14/0.63 ~sQ46_spl|~sQ0_spl|sQ61_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f817,f388,f130,f724])).
% 0.14/0.63 fof(f1026,plain,(
% 0.14/0.63 ![X0]: (multiply(sk_c9,X0)=X0|~sQ46_spl|~sQ15_spl|~sQ14_spl)),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f389,f998])).
% 0.14/0.63 fof(f1037,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c10))=sk_c9|~sQ46_spl|sQ45_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f389,f386])).
% 0.14/0.63 fof(f1042,plain,(
% 0.14/0.63 ~inverse(sk_c9)=sk_c11|~sQ46_spl|~sQ0_spl|sQ52_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f389,f464])).
% 0.14/0.63 fof(f1044,plain,(
% 0.14/0.63 ~sk_c11=sk_c9|~sQ46_spl|sQ53_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f389,f435])).
% 0.14/0.63 fof(f1046,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c9))=sk_c9|~sQ46_spl|sQ45_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f389,f1037])).
% 0.14/0.63 fof(f1063,plain,(
% 0.14/0.63 sk_c1=multiply(sk_c9,identity)|~sQ46_spl|~sQ0_spl|~sQ12_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f389,f887])).
% 0.14/0.63 fof(f1064,plain,(
% 0.14/0.63 sk_c1=sk_c9|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f1065,f382])).
% 0.14/0.63 fof(f1065,plain,(
% 0.14/0.63 sk_c1=identity|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1026,f1063])).
% 0.14/0.63 fof(f1067,plain,(
% 0.14/0.63 ~inverse(sk_c1)=sk_c11|~sQ15_spl|~sQ14_spl|~sQ12_spl|~sQ44_spl|~sQ46_spl|~sQ0_spl|sQ52_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f1064,f1042])).
% 0.14/0.63 fof(f1070,plain,(
% 0.14/0.63 ![X0]: (multiply(sk_c1,X0)=X0|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ46_spl|~sQ15_spl|~sQ14_spl)),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f1064,f1026])).
% 0.14/0.63 fof(f1073,plain,(
% 0.14/0.63 inverse(sk_c11)=sk_c1|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ61_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f1064,f725])).
% 0.14/0.63 fof(f1075,plain,(
% 0.14/0.63 ~inverse(sk_c9)=sk_c1|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ15_spl|sQ72_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f1064,f939])).
% 0.14/0.63 fof(f1076,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c9))=sk_c1|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ59_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f1064,f717])).
% 0.14/0.63 fof(f1077,plain,(
% 0.14/0.63 ~sk_c11=sk_c1|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ49_spl),
% 0.14/0.63 inference(backward_demodulation,[status(thm)],[f1064,f401])).
% 0.14/0.63 fof(f1080,plain,(
% 0.14/0.63 ~sk_c11=sk_c11|~sQ15_spl|~sQ14_spl|~sQ12_spl|~sQ44_spl|~sQ46_spl|~sQ0_spl|sQ52_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f187,f1067])).
% 0.14/0.63 fof(f1081,plain,(
% 0.14/0.63 $false|~sQ15_spl|~sQ14_spl|~sQ12_spl|~sQ44_spl|~sQ46_spl|~sQ0_spl|sQ52_spl),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f1080])).
% 0.14/0.63 fof(f1082,plain,(
% 0.14/0.63 ~sQ15_spl|~sQ14_spl|~sQ12_spl|~sQ44_spl|~sQ46_spl|~sQ0_spl|sQ52_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f1081])).
% 0.14/0.63 fof(f1083,plain,(
% 0.14/0.63 ~inverse(sk_c1)=sk_c1|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ15_spl|sQ72_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1064,f1075])).
% 0.14/0.63 fof(f1084,plain,(
% 0.14/0.63 ~sk_c11=sk_c1|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ15_spl|sQ72_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f187,f1083])).
% 0.14/0.63 fof(f1085,plain,(
% 0.14/0.63 ~inverse(inverse(sk_c1))=sk_c1|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ59_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1064,f1076])).
% 0.14/0.63 fof(f1086,plain,(
% 0.14/0.63 ~inverse(sk_c11)=sk_c1|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ59_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f187,f1085])).
% 0.14/0.63 fof(f1100,plain,(
% 0.14/0.63 ~sk_c1=sk_c1|~sQ61_spl|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ59_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1073,f1086])).
% 0.14/0.63 fof(f1101,plain,(
% 0.14/0.63 $false|~sQ61_spl|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ59_spl),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f1100])).
% 0.14/0.63 fof(f1102,plain,(
% 0.14/0.63 ~sQ61_spl|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ59_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f1101])).
% 0.14/0.63 fof(f1103,plain,(
% 0.14/0.63 ~sQ59_spl|~sQ46_spl|sQ45_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f1046,f715,f388,f384])).
% 0.14/0.63 fof(f1107,plain,(
% 0.14/0.63 multiply(sk_c1,inverse(sk_c9))=identity|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ59_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1064,f832])).
% 0.14/0.63 fof(f1108,plain,(
% 0.14/0.63 inverse(sk_c9)=identity|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ59_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1070,f1107])).
% 0.14/0.63 fof(f1109,plain,(
% 0.14/0.63 inverse(sk_c1)=identity|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ59_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1064,f1108])).
% 0.14/0.63 fof(f1110,plain,(
% 0.14/0.63 sk_c11=identity|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ59_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f187,f1109])).
% 0.14/0.63 fof(f1111,plain,(
% 0.14/0.63 sk_c11=sk_c1|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ59_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1065,f1110])).
% 0.14/0.63 fof(f1112,plain,(
% 0.14/0.63 $false|sQ72_spl|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ59_spl),
% 0.14/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1111,f1084])).
% 0.14/0.63 fof(f1113,plain,(
% 0.14/0.63 sQ72_spl|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|~sQ59_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f1112])).
% 0.14/0.63 fof(f1151,plain,(
% 0.14/0.63 ~sk_c1=sk_c1|~sQ59_spl|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ49_spl),
% 0.14/0.63 inference(forward_demodulation,[status(thm)],[f1111,f1077])).
% 0.14/0.63 fof(f1152,plain,(
% 0.14/0.63 $false|~sQ59_spl|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ49_spl),
% 0.14/0.63 inference(trivial_equality_resolution,[status(thm)],[f1151])).
% 0.14/0.63 fof(f1153,plain,(
% 0.14/0.63 ~sQ59_spl|~sQ15_spl|~sQ14_spl|~sQ46_spl|~sQ0_spl|~sQ12_spl|~sQ44_spl|sQ49_spl),
% 0.14/0.63 inference(contradiction_clause,[status(thm)],[f1152])).
% 0.14/0.63 fof(f1154,plain,(
% 0.14/0.63 ~sQ49_spl|~sQ46_spl|sQ53_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f1044,f399,f388,f433])).
% 0.14/0.63 fof(f1155,plain,(
% 0.14/0.63 ~sQ49_spl|~sQ14_spl|~sQ15_spl|sQ42_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f981,f399,f212,f225,f345])).
% 0.14/0.63 fof(f1164,plain,(
% 0.14/0.63 ~sQ53_spl|~sQ14_spl|~sQ15_spl|sQ41_spl),
% 0.14/0.63 inference(split_clause,[status(thm)],[f852,f433,f212,f225,f342])).
% 0.14/0.63 fof(f1170,plain,(
% 0.14/0.63 $false),
% 0.14/0.63 inference(sat_refutation,[status(thm)],[f136,f140,f144,f148,f152,f156,f189,f190,f191,f192,f193,f194,f202,f203,f204,f205,f206,f207,f215,f216,f217,f218,f219,f220,f228,f229,f230,f231,f232,f233,f250,f351,f387,f394,f398,f407,f418,f432,f443,f446,f497,f648,f668,f698,f713,f761,f768,f773,f917,f986,f1007,f1019,f1020,f1021,f1082,f1102,f1103,f1113,f1153,f1154,f1155,f1164])).
% 0.14/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.65 % Elapsed time: 0.072888 seconds
% 0.14/0.65 % CPU time: 0.250335 seconds
% 0.14/0.65 % Total memory used: 106.510 MB
% 0.14/0.65 % Net memory used: 106.400 MB
%------------------------------------------------------------------------------