%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP377-1 : 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 : n007.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 12:36:32 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP377-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n007.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Sun Sep 20 20:08:50 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.14/0.58 % Refutation found
% 0.14/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.58 fof(f1,axiom,(
% 0.14/0.58 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f2,axiom,(
% 0.14/0.58 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f3,axiom,(
% 0.14/0.58 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f4,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| multiply(sk_c2,sk_c10) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f5,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| inverse(sk_c2) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f6,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f7,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f8,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| multiply(sk_c4,sk_c7) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f9,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f10,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| multiply(sk_c7,sk_c9) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f11,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f12,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f13,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c10) = sk_c9| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f14,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c2,sk_c10) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f15,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c2) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f16,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f17,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f18,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c7) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f19,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f20,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c7,sk_c9) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f21,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f22,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f24,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| multiply(sk_c2,sk_c10) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f25,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| inverse(sk_c2) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f26,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f27,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| inverse(sk_c3) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f28,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c7) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f29,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f30,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| multiply(sk_c7,sk_c9) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f31,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f32,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f34,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c8,sk_c9) = sk_c10| multiply(sk_c2,sk_c10) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f35,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c8,sk_c9) = sk_c10| inverse(sk_c2) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f36,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c8,sk_c9) = sk_c10| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f37,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c8,sk_c9) = sk_c10| inverse(sk_c3) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f38,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c8,sk_c9) = sk_c10| multiply(sk_c4,sk_c7) = sk_c10 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f39,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c8,sk_c9) = sk_c10| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f44,negated_conjecture,(
% 0.14/0.58 (![X2,X1,X3,X4,X5,X6,X7]: (( inverse(sk_c10) != sk_c9| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(sk_c8,sk_c9) != sk_c10| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(X4,X5) != sk_c10| inverse(X4) != X5| multiply(X5,sk_c9) != sk_c10| inverse(X6) != X7| inverse(X7) != X5| multiply(X6,X5) != X7 ) ))),
% 0.14/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f45,plain,(
% 0.14/0.58 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.58 fof(f46,plain,(
% 0.14/0.58 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.58 fof(f47,plain,(
% 0.14/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.58 fof(f48,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|multiply(sk_c2,sk_c10)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.58 fof(f49,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|inverse(sk_c2)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.58 fof(f50,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.58 fof(f51,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.58 fof(f52,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|multiply(sk_c4,sk_c7)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.58 fof(f53,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.58 fof(f54,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|multiply(sk_c7,sk_c9)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.58 fof(f55,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|inverse(sk_c6)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.58 fof(f56,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|inverse(sk_c5)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.58 fof(f57,plain,(
% 0.14/0.58 inverse(sk_c10)=sk_c9|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.58 fof(f58,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c2,sk_c10)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.58 fof(f59,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c2)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.58 fof(f60,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.58 fof(f61,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.58 fof(f62,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c7)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.58 fof(f63,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.58 fof(f64,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c7,sk_c9)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.58 fof(f65,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.58 fof(f66,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.58 fof(f68,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|multiply(sk_c2,sk_c10)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.58 fof(f69,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|inverse(sk_c2)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.58 fof(f70,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|multiply(sk_c3,sk_c9)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.58 fof(f71,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|inverse(sk_c3)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.58 fof(f72,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c7)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.58 fof(f73,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.58 fof(f74,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|multiply(sk_c7,sk_c9)=sk_c10),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.58 fof(f75,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.58 fof(f76,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.58 fof(f78,plain,(
% 0.14/0.58 multiply(sk_c8,sk_c9)=sk_c10|multiply(sk_c2,sk_c10)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.58 fof(f79,plain,(
% 0.14/0.58 multiply(sk_c8,sk_c9)=sk_c10|inverse(sk_c2)=sk_c10),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.59 fof(f80,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c9)=sk_c10|multiply(sk_c3,sk_c9)=sk_c8),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.59 fof(f81,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c9)=sk_c10|inverse(sk_c3)=sk_c9),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.59 fof(f82,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c9)=sk_c10|multiply(sk_c4,sk_c7)=sk_c10),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.59 fof(f83,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c9)=sk_c10|inverse(sk_c4)=sk_c7),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.59 fof(f88,plain,(
% 0.14/0.59 ![X5,X6,X7]: (((((![X4]: (((![X3]: (((![X1]: ((((![X2]: ((~inverse(sk_c10)=sk_c9|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(sk_c8,sk_c9)=sk_c10)|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(X3,sk_c9)=sk_c8)|~inverse(X3)=sk_c9))|~multiply(X4,X5)=sk_c10)|~inverse(X4)=X5))|~multiply(X5,sk_c9)=sk_c10)|~inverse(X6)=X7)|~inverse(X7)=X5)|~multiply(X6,X5)=X7)),
% 0.14/0.59 inference(miniscoping,[status(thm)],[f44])).
% 0.14/0.59 fof(f89,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(sk_c10)=sk_c9|~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(sk_c8,sk_c9)=sk_c10|~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,X4)=sk_c10|~inverse(X3)=X4|~multiply(X4,sk_c9)=sk_c10|~inverse(X5)=X6|~inverse(X6)=X4|~multiply(X5,X4)=X6)),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f88])).
% 0.14/0.59 fof(f90,definition,(
% 0.14/0.59 sQ0_spl <=> (inverse(sk_c10)=sk_c9)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f91,plain,(
% 0.14/0.59 inverse(sk_c10)=sk_c9|~sQ0_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.59 fof(f92,plain,(
% 0.14/0.59 ~inverse(sk_c10)=sk_c9|sQ0_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.59 fof(f93,definition,(
% 0.14/0.59 sQ1_spl <=> (multiply(sk_c2,sk_c10)=sk_c9)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f94,plain,(
% 0.14/0.59 multiply(sk_c2,sk_c10)=sk_c9|~sQ1_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.59 fof(f96,plain,(
% 0.14/0.59 sQ0_spl|sQ1_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f48,f90,f93])).
% 0.14/0.59 fof(f97,definition,(
% 0.14/0.59 sQ2_spl <=> (inverse(sk_c2)=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f98,plain,(
% 0.14/0.59 inverse(sk_c2)=sk_c10|~sQ2_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.59 fof(f100,plain,(
% 0.14/0.59 sQ0_spl|sQ2_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f49,f90,f97])).
% 0.14/0.59 fof(f101,definition,(
% 0.14/0.59 sQ3_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f102,plain,(
% 0.14/0.59 multiply(sk_c3,sk_c9)=sk_c8|~sQ3_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.59 fof(f104,plain,(
% 0.14/0.59 sQ0_spl|sQ3_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f50,f90,f101])).
% 0.14/0.59 fof(f105,definition,(
% 0.14/0.59 sQ4_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f106,plain,(
% 0.14/0.59 inverse(sk_c3)=sk_c9|~sQ4_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.59 fof(f108,plain,(
% 0.14/0.59 sQ0_spl|sQ4_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f51,f90,f105])).
% 0.14/0.59 fof(f109,definition,(
% 0.14/0.59 sQ5_spl <=> (multiply(sk_c4,sk_c7)=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f110,plain,(
% 0.14/0.59 multiply(sk_c4,sk_c7)=sk_c10|~sQ5_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.59 fof(f112,plain,(
% 0.14/0.59 sQ0_spl|sQ5_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f52,f90,f109])).
% 0.14/0.59 fof(f113,definition,(
% 0.14/0.59 sQ6_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f114,plain,(
% 0.14/0.59 inverse(sk_c4)=sk_c7|~sQ6_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f113])).
% 0.14/0.59 fof(f116,plain,(
% 0.14/0.59 sQ0_spl|sQ6_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f53,f90,f113])).
% 0.14/0.59 fof(f117,definition,(
% 0.14/0.59 sQ7_spl <=> (multiply(sk_c7,sk_c9)=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f118,plain,(
% 0.14/0.59 multiply(sk_c7,sk_c9)=sk_c10|~sQ7_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.59 fof(f120,plain,(
% 0.14/0.59 sQ0_spl|sQ7_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f54,f90,f117])).
% 0.14/0.59 fof(f121,definition,(
% 0.14/0.59 sQ8_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f122,plain,(
% 0.14/0.59 inverse(sk_c6)=sk_c5|~sQ8_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.59 fof(f124,plain,(
% 0.14/0.59 sQ0_spl|sQ8_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f55,f90,f121])).
% 0.14/0.59 fof(f125,definition,(
% 0.14/0.59 sQ9_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f126,plain,(
% 0.14/0.59 inverse(sk_c5)=sk_c7|~sQ9_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.59 fof(f128,plain,(
% 0.14/0.59 sQ0_spl|sQ9_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f56,f90,f125])).
% 0.14/0.59 fof(f129,definition,(
% 0.14/0.59 sQ10_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f130,plain,(
% 0.14/0.59 multiply(sk_c6,sk_c7)=sk_c5|~sQ10_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f129])).
% 0.14/0.59 fof(f132,plain,(
% 0.14/0.59 sQ0_spl|sQ10_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f57,f90,f129])).
% 0.14/0.59 fof(f133,definition,(
% 0.14/0.59 sQ11_spl <=> (multiply(sk_c1,sk_c10)=sk_c9)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f134,plain,(
% 0.14/0.59 multiply(sk_c1,sk_c10)=sk_c9|~sQ11_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.59 fof(f136,plain,(
% 0.14/0.59 sQ11_spl|sQ1_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f58,f133,f93])).
% 0.14/0.59 fof(f137,plain,(
% 0.14/0.59 sQ11_spl|sQ2_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f59,f133,f97])).
% 0.14/0.59 fof(f138,plain,(
% 0.14/0.59 sQ11_spl|sQ3_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f60,f133,f101])).
% 0.14/0.59 fof(f139,plain,(
% 0.14/0.59 sQ11_spl|sQ4_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f61,f133,f105])).
% 0.14/0.59 fof(f140,plain,(
% 0.14/0.59 sQ11_spl|sQ5_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f62,f133,f109])).
% 0.14/0.59 fof(f141,plain,(
% 0.14/0.59 sQ11_spl|sQ6_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f63,f133,f113])).
% 0.14/0.59 fof(f142,plain,(
% 0.14/0.59 sQ11_spl|sQ7_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f64,f133,f117])).
% 0.14/0.59 fof(f143,plain,(
% 0.14/0.59 sQ11_spl|sQ8_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f65,f133,f121])).
% 0.14/0.59 fof(f144,plain,(
% 0.14/0.59 sQ11_spl|sQ9_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f66,f133,f125])).
% 0.14/0.59 fof(f146,definition,(
% 0.14/0.59 sQ12_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f147,plain,(
% 0.14/0.59 inverse(sk_c1)=sk_c10|~sQ12_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f146])).
% 0.14/0.59 fof(f149,plain,(
% 0.14/0.59 sQ12_spl|sQ1_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f68,f146,f93])).
% 0.14/0.59 fof(f150,plain,(
% 0.14/0.59 sQ12_spl|sQ2_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f69,f146,f97])).
% 0.14/0.59 fof(f151,plain,(
% 0.14/0.59 sQ12_spl|sQ3_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f70,f146,f101])).
% 0.14/0.59 fof(f152,plain,(
% 0.14/0.59 sQ12_spl|sQ4_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f71,f146,f105])).
% 0.14/0.59 fof(f153,plain,(
% 0.14/0.59 sQ12_spl|sQ5_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f72,f146,f109])).
% 0.14/0.59 fof(f154,plain,(
% 0.14/0.59 sQ12_spl|sQ6_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f73,f146,f113])).
% 0.14/0.59 fof(f155,plain,(
% 0.14/0.59 sQ12_spl|sQ7_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f74,f146,f117])).
% 0.14/0.59 fof(f156,plain,(
% 0.14/0.59 sQ12_spl|sQ8_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f75,f146,f121])).
% 0.14/0.59 fof(f157,plain,(
% 0.14/0.59 sQ12_spl|sQ9_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f76,f146,f125])).
% 0.14/0.59 fof(f159,definition,(
% 0.14/0.59 sQ13_spl <=> (multiply(sk_c8,sk_c9)=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f160,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c9)=sk_c10|~sQ13_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f159])).
% 0.14/0.59 fof(f161,plain,(
% 0.14/0.59 ~multiply(sk_c8,sk_c9)=sk_c10|sQ13_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f159])).
% 0.14/0.59 fof(f162,plain,(
% 0.14/0.59 sQ13_spl|sQ1_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f78,f159,f93])).
% 0.14/0.59 fof(f163,plain,(
% 0.14/0.59 sQ13_spl|sQ2_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f79,f159,f97])).
% 0.14/0.59 fof(f164,plain,(
% 0.14/0.59 sQ13_spl|sQ3_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f80,f159,f101])).
% 0.14/0.59 fof(f165,plain,(
% 0.14/0.59 sQ13_spl|sQ4_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f81,f159,f105])).
% 0.14/0.59 fof(f166,plain,(
% 0.14/0.59 sQ13_spl|sQ5_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f82,f159,f109])).
% 0.14/0.59 fof(f167,plain,(
% 0.14/0.59 sQ13_spl|sQ6_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f83,f159,f113])).
% 0.14/0.59 fof(f172,definition,(
% 0.14/0.59 ![X0]: (sQ14_spl <=> (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f173,plain,(
% 0.14/0.59 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ14_spl)),
% 0.14/0.59 inference(component_clause,[status(thm)],[f172])).
% 0.14/0.59 fof(f175,definition,(
% 0.14/0.59 ![X2]: (sQ15_spl <=> (~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f176,plain,(
% 0.14/0.59 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ15_spl)),
% 0.14/0.59 inference(component_clause,[status(thm)],[f175])).
% 0.14/0.59 fof(f178,definition,(
% 0.14/0.59 ![X3,X4,X5,X6]: (sQ16_spl <=> (~multiply(X3,X4)=sk_c10|~inverse(X3)=X4|~multiply(X4,sk_c9)=sk_c10|~inverse(X5)=X6|~inverse(X6)=X4|~multiply(X5,X4)=X6))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f179,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~sQ16_spl)),
% 0.14/0.59 inference(component_clause,[status(thm)],[f178])).
% 0.14/0.59 fof(f181,plain,(
% 0.14/0.59 ~sQ0_spl|sQ14_spl|~sQ13_spl|sQ15_spl|sQ16_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f89,f90,f172,f159,f175,f178])).
% 0.14/0.59 fof(f182,plain,(
% 0.14/0.59 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ16_spl)),
% 0.14/0.59 inference(destructive_equality_resolution,[status(thm)],[f179])).
% 0.14/0.59 fof(f184,plain,(
% 0.14/0.59 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c8,multiply(sk_c9,X0))|~sQ13_spl)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f160,f47])).
% 0.14/0.59 fof(f189,plain,(
% 0.14/0.59 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ10_spl)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f130,f47])).
% 0.14/0.59 fof(f204,definition,(
% 0.14/0.59 sQ17_spl <=> (multiply(sk_c10,inverse(sk_c10))=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f205,plain,(
% 0.14/0.59 multiply(sk_c10,inverse(sk_c10))=sk_c10|~sQ17_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f204])).
% 0.14/0.59 fof(f206,plain,(
% 0.14/0.59 ~multiply(sk_c10,inverse(sk_c10))=sk_c10|sQ17_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f204])).
% 0.14/0.59 fof(f264,definition,(
% 0.14/0.59 sQ35_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f266,plain,(
% 0.14/0.59 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|sQ35_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f264])).
% 0.14/0.59 fof(f267,definition,(
% 0.14/0.59 sQ36_spl <=> (multiply(inverse(sk_c1),sk_c9)=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f269,plain,(
% 0.14/0.59 ~multiply(inverse(sk_c1),sk_c9)=sk_c10|sQ36_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f267])).
% 0.14/0.59 fof(f275,plain,(
% 0.14/0.59 ~multiply(sk_c10,sk_c9)=sk_c10|~sQ12_spl|sQ36_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f147,f269])).
% 0.14/0.59 fof(f276,plain,(
% 0.14/0.59 ~multiply(sk_c1,sk_c10)=sk_c10|~sQ12_spl|sQ35_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f147,f266])).
% 0.14/0.59 fof(f277,plain,(
% 0.14/0.59 ~sk_c9=sk_c10|~sQ11_spl|~sQ12_spl|sQ35_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f134,f276])).
% 0.14/0.59 fof(f283,plain,(
% 0.14/0.59 ~sk_c10=sk_c8|~inverse(sk_c8)=sk_c9|~sQ15_spl|~sQ13_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f160,f176])).
% 0.14/0.59 fof(f284,plain,(
% 0.14/0.59 ~sk_c8=sk_c8|~inverse(sk_c3)=sk_c9|~sQ15_spl|~sQ3_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f102,f176])).
% 0.14/0.59 fof(f286,definition,(
% 0.14/0.59 sQ38_spl <=> (sk_c10=sk_c8)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f288,plain,(
% 0.14/0.59 ~sk_c10=sk_c8|sQ38_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f286])).
% 0.14/0.59 fof(f289,definition,(
% 0.14/0.59 sQ39_spl <=> (inverse(sk_c8)=sk_c9)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f291,plain,(
% 0.14/0.59 ~inverse(sk_c8)=sk_c9|sQ39_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f289])).
% 0.14/0.59 fof(f292,plain,(
% 0.14/0.59 ~sQ38_spl|~sQ39_spl|~sQ15_spl|~sQ13_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f283,f286,f289,f175,f159])).
% 0.14/0.59 fof(f293,definition,(
% 0.14/0.59 sQ40_spl <=> (sk_c8=sk_c8)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f295,plain,(
% 0.14/0.59 ~sk_c8=sk_c8|sQ40_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f293])).
% 0.14/0.59 fof(f296,plain,(
% 0.14/0.59 ~sQ40_spl|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f284,f293,f105,f175,f101])).
% 0.14/0.59 fof(f301,plain,(
% 0.14/0.59 $false|sQ40_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f295])).
% 0.14/0.59 fof(f302,plain,(
% 0.14/0.59 sQ40_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f301])).
% 0.14/0.59 fof(f304,plain,(
% 0.14/0.59 multiply(sk_c9,sk_c10)=identity|~sQ0_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f91,f46])).
% 0.14/0.59 fof(f306,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f46,f47])).
% 0.14/0.59 fof(f307,plain,(
% 0.14/0.59 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f45,f306])).
% 0.14/0.59 fof(f315,plain,(
% 0.14/0.59 ~inverse(sk_c2)=sk_c10|~sQ14_spl|~sQ1_spl),
% 0.14/0.59 inference(resolution,[status(thm)],[f173,f94])).
% 0.14/0.59 fof(f316,plain,(
% 0.14/0.59 ~inverse(sk_c1)=sk_c10|~sQ14_spl|~sQ11_spl),
% 0.14/0.59 inference(resolution,[status(thm)],[f173,f134])).
% 0.14/0.59 fof(f319,plain,(
% 0.14/0.59 ~sk_c10=sk_c9|~inverse(identity)=sk_c10|~sQ14_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f45,f173])).
% 0.14/0.59 fof(f323,plain,(
% 0.14/0.59 ~sk_c10=sk_c10|~sQ12_spl|~sQ14_spl|~sQ11_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f147,f316])).
% 0.14/0.59 fof(f324,plain,(
% 0.14/0.59 $false|~sQ12_spl|~sQ14_spl|~sQ11_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f323])).
% 0.14/0.59 fof(f325,plain,(
% 0.14/0.59 ~sQ12_spl|~sQ14_spl|~sQ11_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f324])).
% 0.14/0.59 fof(f326,plain,(
% 0.14/0.59 ~multiply(identity,inverse(identity))=sk_c10|~multiply(inverse(identity),sk_c9)=sk_c10|~inverse(inverse(identity))=inverse(identity)|~sQ16_spl),
% 0.14/0.59 inference(resolution,[status(thm)],[f182,f45])).
% 0.14/0.59 fof(f332,definition,(
% 0.14/0.59 sQ42_spl <=> (multiply(identity,inverse(identity))=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f334,plain,(
% 0.14/0.59 ~multiply(identity,inverse(identity))=sk_c10|sQ42_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f332])).
% 0.14/0.59 fof(f335,definition,(
% 0.14/0.59 sQ43_spl <=> (multiply(inverse(identity),sk_c9)=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f337,plain,(
% 0.14/0.59 ~multiply(inverse(identity),sk_c9)=sk_c10|sQ43_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f335])).
% 0.14/0.59 fof(f338,definition,(
% 0.14/0.59 sQ44_spl <=> (inverse(inverse(identity))=inverse(identity))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f340,plain,(
% 0.14/0.59 ~inverse(inverse(identity))=inverse(identity)|sQ44_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f338])).
% 0.14/0.59 fof(f341,plain,(
% 0.14/0.59 ~sQ42_spl|~sQ43_spl|~sQ44_spl|~sQ16_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f326,f332,f335,f338,f178])).
% 0.14/0.59 fof(f344,plain,(
% 0.14/0.59 ~inverse(identity)=sk_c10|sQ42_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f45,f334])).
% 0.14/0.59 fof(f346,plain,(
% 0.14/0.59 multiply(sk_c10,sk_c2)=identity|~sQ2_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f98,f46])).
% 0.14/0.59 fof(f352,plain,(
% 0.14/0.59 multiply(sk_c5,sk_c6)=identity|~sQ8_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f122,f46])).
% 0.14/0.59 fof(f412,plain,(
% 0.14/0.59 sk_c6=multiply(inverse(sk_c5),identity)|~sQ8_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f352,f307])).
% 0.14/0.59 fof(f416,plain,(
% 0.14/0.59 sk_c9=multiply(inverse(sk_c3),sk_c8)|~sQ3_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f102,f307])).
% 0.14/0.59 fof(f422,plain,(
% 0.14/0.59 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f45,f307])).
% 0.14/0.59 fof(f429,plain,(
% 0.14/0.59 sk_c7=multiply(inverse(sk_c4),sk_c10)|~sQ5_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f110,f307])).
% 0.14/0.59 fof(f433,plain,(
% 0.14/0.59 sk_c6=multiply(sk_c7,identity)|~sQ9_spl|~sQ8_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f126,f412])).
% 0.14/0.59 fof(f434,plain,(
% 0.14/0.59 sk_c9=multiply(sk_c9,sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f106,f416])).
% 0.14/0.59 fof(f438,plain,(
% 0.14/0.59 sk_c7=multiply(sk_c7,sk_c10)|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f114,f429])).
% 0.14/0.59 fof(f447,plain,(
% 0.14/0.59 multiply(sk_c10,sk_c8)=multiply(sk_c8,sk_c9)|~sQ13_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f434,f184])).
% 0.14/0.59 fof(f448,plain,(
% 0.14/0.59 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f434,f307])).
% 0.14/0.59 fof(f450,plain,(
% 0.14/0.59 multiply(sk_c10,sk_c8)=sk_c10|~sQ13_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f160,f447])).
% 0.14/0.59 fof(f451,plain,(
% 0.14/0.59 sk_c8=identity|~sQ4_spl|~sQ3_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f46,f448])).
% 0.14/0.59 fof(f452,plain,(
% 0.14/0.59 sk_c6=multiply(sk_c7,sk_c8)|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f451,f433])).
% 0.14/0.59 fof(f455,plain,(
% 0.14/0.59 multiply(sk_c5,sk_c6)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ8_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f451,f352])).
% 0.14/0.59 fof(f457,plain,(
% 0.14/0.59 multiply(sk_c10,sk_c2)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f451,f346])).
% 0.14/0.59 fof(f459,plain,(
% 0.14/0.59 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ4_spl|~sQ3_spl)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f451,f46])).
% 0.14/0.59 fof(f460,plain,(
% 0.14/0.59 ![X0]: (multiply(sk_c8,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f451,f45])).
% 0.14/0.59 fof(f462,plain,(
% 0.14/0.59 sk_c9=sk_c10|~sQ4_spl|~sQ3_spl|~sQ13_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f460,f160])).
% 0.14/0.59 fof(f465,plain,(
% 0.14/0.59 ~inverse(sk_c9)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ13_spl|sQ0_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f462,f92])).
% 0.14/0.59 fof(f470,plain,(
% 0.14/0.59 multiply(sk_c7,sk_c9)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f462,f118])).
% 0.14/0.59 fof(f485,plain,(
% 0.14/0.59 sk_c7=multiply(sk_c7,sk_c9)|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f462,f438])).
% 0.14/0.59 fof(f486,plain,(
% 0.14/0.59 multiply(sk_c5,sk_c9)=multiply(sk_c6,sk_c7)|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f485,f189])).
% 0.14/0.59 fof(f489,plain,(
% 0.14/0.59 multiply(sk_c5,sk_c9)=sk_c5|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f130,f486])).
% 0.14/0.59 fof(f506,plain,(
% 0.14/0.59 ~inverse(sk_c9)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|sQ0_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f511,f465])).
% 0.14/0.59 fof(f507,plain,(
% 0.14/0.59 sk_c7=sk_c10|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f511,f462])).
% 0.14/0.59 fof(f511,plain,(
% 0.14/0.59 sk_c7=sk_c9|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f485,f470])).
% 0.14/0.59 fof(f515,plain,(
% 0.14/0.59 ~inverse(sk_c7)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|sQ0_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f511,f506])).
% 0.14/0.59 fof(f531,plain,(
% 0.14/0.59 multiply(sk_c7,sk_c8)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ13_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f507,f450])).
% 0.14/0.59 fof(f532,plain,(
% 0.14/0.59 multiply(sk_c7,sk_c8)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ13_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f507,f531])).
% 0.14/0.59 fof(f537,plain,(
% 0.14/0.59 sk_c6=sk_c7|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ13_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f452,f532])).
% 0.14/0.59 fof(f546,plain,(
% 0.14/0.59 ~inverse(sk_c7)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|sQ0_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f537,f515])).
% 0.14/0.59 fof(f549,plain,(
% 0.14/0.59 sk_c6=sk_c10|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f537,f507])).
% 0.14/0.59 fof(f550,plain,(
% 0.14/0.59 sk_c6=sk_c9|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f537,f511])).
% 0.14/0.59 fof(f556,plain,(
% 0.14/0.59 ~inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|sQ0_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f537,f546])).
% 0.14/0.59 fof(f557,plain,(
% 0.14/0.59 ~sk_c5=sk_c6|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|sQ0_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f122,f556])).
% 0.14/0.59 fof(f603,plain,(
% 0.14/0.59 sk_c5=sk_c8|~sQ9_spl|~sQ7_spl|~sQ10_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ8_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f604,f455])).
% 0.14/0.59 fof(f604,plain,(
% 0.14/0.59 multiply(sk_c5,sk_c6)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f550,f489])).
% 0.14/0.59 fof(f605,plain,(
% 0.14/0.59 sk_c6=multiply(inverse(sk_c5),sk_c5)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f604,f307])).
% 0.14/0.59 fof(f607,plain,(
% 0.14/0.59 sk_c6=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f459,f605])).
% 0.14/0.59 fof(f618,plain,(
% 0.14/0.59 sk_c6=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f603,f607])).
% 0.14/0.59 fof(f619,plain,(
% 0.14/0.59 $false|sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f618,f557])).
% 0.14/0.59 fof(f620,plain,(
% 0.14/0.59 sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f619])).
% 0.14/0.59 fof(f628,plain,(
% 0.14/0.59 ~multiply(inverse(identity),sk_c6)=sk_c10|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f550,f337])).
% 0.14/0.59 fof(f629,plain,(
% 0.14/0.59 ~multiply(inverse(identity),sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f549,f628])).
% 0.14/0.59 fof(f813,plain,(
% 0.14/0.59 sk_c10=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f438,f307])).
% 0.14/0.59 fof(f815,plain,(
% 0.14/0.59 sk_c10=sk_c8|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f459,f813])).
% 0.14/0.59 fof(f818,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c2)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f815,f457])).
% 0.14/0.59 fof(f820,plain,(
% 0.14/0.59 inverse(sk_c2)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f815,f98])).
% 0.14/0.59 fof(f825,plain,(
% 0.14/0.59 sk_c2=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f460,f818])).
% 0.14/0.59 fof(f835,plain,(
% 0.14/0.59 multiply(sk_c2,sk_c8)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f815,f94])).
% 0.14/0.59 fof(f839,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c8)=sk_c9|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f825,f835])).
% 0.14/0.59 fof(f840,plain,(
% 0.14/0.59 sk_c8=sk_c9|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f460,f839])).
% 0.14/0.59 fof(f848,plain,(
% 0.14/0.59 inverse(sk_c8)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f825,f820])).
% 0.14/0.59 fof(f867,plain,(
% 0.14/0.59 ~sk_c9=sk_c10|~sQ4_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f460,f161])).
% 0.14/0.59 fof(f868,plain,(
% 0.14/0.59 ~sk_c8=sk_c10|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f840,f867])).
% 0.14/0.59 fof(f869,plain,(
% 0.14/0.59 ~sk_c8=sk_c8|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f815,f868])).
% 0.14/0.59 fof(f870,plain,(
% 0.14/0.59 $false|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f869])).
% 0.14/0.59 fof(f871,plain,(
% 0.14/0.59 ~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f870])).
% 0.14/0.59 fof(f970,definition,(
% 0.14/0.59 sQ45_spl <=> (identity=sk_c9)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f971,plain,(
% 0.14/0.59 identity=sk_c9|~sQ45_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f970])).
% 0.14/0.59 fof(f981,definition,(
% 0.14/0.59 sQ48_spl <=> (sk_c10=sk_c9)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f984,definition,(
% 0.14/0.59 sQ49_spl <=> (inverse(identity)=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f986,plain,(
% 0.14/0.59 ~inverse(identity)=sk_c10|sQ49_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f984])).
% 0.14/0.59 fof(f987,plain,(
% 0.14/0.59 ~sQ48_spl|~sQ49_spl|~sQ14_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f319,f981,f984,f172])).
% 0.14/0.59 fof(f995,plain,(
% 0.14/0.59 ~inverse(sk_c8)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f825,f315])).
% 0.14/0.59 fof(f996,plain,(
% 0.14/0.59 ~sk_c8=sk_c10|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f848,f995])).
% 0.14/0.59 fof(f997,plain,(
% 0.14/0.59 ~sk_c8=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f815,f996])).
% 0.14/0.59 fof(f998,plain,(
% 0.14/0.59 $false|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f997])).
% 0.14/0.59 fof(f999,plain,(
% 0.14/0.59 ~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f998])).
% 0.14/0.59 fof(f1013,plain,(
% 0.14/0.59 ~inverse(sk_c8)=sk_c10|~sQ4_spl|~sQ3_spl|sQ49_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f451,f986])).
% 0.14/0.59 fof(f1014,plain,(
% 0.14/0.59 ~sk_c8=sk_c10|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ49_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f848,f1013])).
% 0.14/0.59 fof(f1015,plain,(
% 0.14/0.59 ~sk_c8=sk_c8|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ49_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f815,f1014])).
% 0.14/0.59 fof(f1016,plain,(
% 0.14/0.59 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ49_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1015])).
% 0.14/0.59 fof(f1017,plain,(
% 0.14/0.59 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ49_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1016])).
% 0.14/0.59 fof(f1033,plain,(
% 0.14/0.59 ~inverse(inverse(sk_c8))=inverse(identity)|~sQ4_spl|~sQ3_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f451,f340])).
% 0.14/0.59 fof(f1034,plain,(
% 0.14/0.59 ~inverse(sk_c8)=inverse(identity)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f848,f1033])).
% 0.14/0.59 fof(f1035,plain,(
% 0.14/0.59 ~sk_c8=inverse(identity)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f848,f1034])).
% 0.14/0.59 fof(f1036,plain,(
% 0.14/0.59 ~sk_c8=inverse(sk_c8)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f451,f1035])).
% 0.14/0.59 fof(f1037,plain,(
% 0.14/0.59 ~sk_c8=sk_c8|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f848,f1036])).
% 0.14/0.59 fof(f1038,plain,(
% 0.14/0.59 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ44_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1037])).
% 0.14/0.59 fof(f1039,plain,(
% 0.14/0.59 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ44_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1038])).
% 0.14/0.59 fof(f1040,plain,(
% 0.14/0.59 ~multiply(inverse(sk_c8),sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f451,f629])).
% 0.14/0.59 fof(f1041,plain,(
% 0.14/0.59 ~multiply(sk_c8,sk_c6)=sk_c6|~sQ2_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f848,f1040])).
% 0.14/0.59 fof(f1042,plain,(
% 0.14/0.59 ~sk_c6=sk_c6|~sQ2_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f460,f1041])).
% 0.14/0.59 fof(f1043,plain,(
% 0.14/0.59 $false|~sQ2_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl|sQ43_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1042])).
% 0.14/0.59 fof(f1044,plain,(
% 0.14/0.59 ~sQ2_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ7_spl|sQ43_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1043])).
% 0.14/0.59 fof(f1047,plain,(
% 0.14/0.59 ~sQ49_spl|sQ42_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f344,f984,f332])).
% 0.14/0.59 fof(f1069,plain,(
% 0.14/0.59 multiply(sk_c10,sk_c9)=sk_c10|~sQ0_spl|~sQ17_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f91,f205])).
% 0.14/0.59 fof(f1080,plain,(
% 0.14/0.59 sk_c10=multiply(inverse(sk_c1),sk_c9)|~sQ11_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f134,f307])).
% 0.14/0.59 fof(f1082,plain,(
% 0.14/0.59 sk_c10=multiply(sk_c10,sk_c9)|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f147,f1080])).
% 0.14/0.59 fof(f1098,definition,(
% 0.14/0.59 sQ51_spl <=> (multiply(inverse(identity),inverse(inverse(identity)))=sk_c10)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f1100,plain,(
% 0.14/0.59 ~multiply(inverse(identity),inverse(inverse(identity)))=sk_c10|sQ51_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f1098])).
% 0.14/0.59 fof(f1108,plain,(
% 0.14/0.59 ~inverse(inverse(identity))=sk_c10|sQ51_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f422,f1100])).
% 0.14/0.59 fof(f1110,plain,(
% 0.14/0.59 $false|~sQ12_spl|sQ36_spl|~sQ0_spl|~sQ17_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1069,f275])).
% 0.14/0.59 fof(f1111,plain,(
% 0.14/0.59 ~sQ12_spl|sQ36_spl|~sQ0_spl|~sQ17_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1110])).
% 0.14/0.59 fof(f1112,plain,(
% 0.14/0.59 ~multiply(sk_c10,sk_c9)=sk_c10|~sQ0_spl|sQ17_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f91,f206])).
% 0.14/0.59 fof(f1114,plain,(
% 0.14/0.59 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1082,f307])).
% 0.14/0.59 fof(f1116,plain,(
% 0.14/0.59 sk_c9=multiply(sk_c9,sk_c10)|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f91,f1114])).
% 0.14/0.59 fof(f1136,plain,(
% 0.14/0.59 ~sk_c10=sk_c10|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ17_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1082,f1112])).
% 0.14/0.59 fof(f1137,plain,(
% 0.14/0.59 $false|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ17_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1136])).
% 0.14/0.59 fof(f1138,plain,(
% 0.14/0.59 ~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ17_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1137])).
% 0.14/0.59 fof(f1142,plain,(
% 0.14/0.59 sk_c9=identity|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1116,f304])).
% 0.14/0.59 fof(f1143,plain,(
% 0.14/0.59 sk_c10=multiply(inverse(sk_c9),sk_c9)|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1116,f307])).
% 0.14/0.59 fof(f1145,plain,(
% 0.14/0.59 sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f1142,f970,f146,f133,f90])).
% 0.14/0.59 fof(f1146,plain,(
% 0.14/0.59 sk_c10=identity|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f46,f1143])).
% 0.14/0.59 fof(f1147,plain,(
% 0.14/0.59 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1146,f46])).
% 0.14/0.59 fof(f1148,plain,(
% 0.14/0.59 ~inverse(inverse(sk_c10))=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ51_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1146,f1108])).
% 0.14/0.59 fof(f1150,plain,(
% 0.14/0.59 ![X0]: (X0=multiply(inverse(sk_c10),X0)|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1146,f422])).
% 0.14/0.59 fof(f1153,plain,(
% 0.14/0.59 ~inverse(sk_c10)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ49_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1146,f986])).
% 0.14/0.59 fof(f1154,plain,(
% 0.14/0.59 ~inverse(sk_c9)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ51_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f91,f1148])).
% 0.14/0.59 fof(f1155,plain,(
% 0.14/0.59 ![X0]: (X0=multiply(sk_c9,X0)|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f91,f1150])).
% 0.14/0.59 fof(f1156,plain,(
% 0.14/0.59 ~sk_c9=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ49_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f91,f1153])).
% 0.14/0.59 fof(f1157,plain,(
% 0.14/0.59 sk_c10=sk_c9|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f971,f1146])).
% 0.14/0.59 fof(f1158,plain,(
% 0.14/0.59 $false|sQ35_spl|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1157,f277])).
% 0.14/0.59 fof(f1159,plain,(
% 0.14/0.59 sQ35_spl|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1158])).
% 0.14/0.59 fof(f1167,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c9)=sk_c9|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1157,f160])).
% 0.14/0.59 fof(f1170,plain,(
% 0.14/0.59 inverse(sk_c1)=sk_c9|~sQ45_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1157,f147])).
% 0.14/0.59 fof(f1171,plain,(
% 0.14/0.59 inverse(sk_c9)=sk_c9|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1157,f91])).
% 0.14/0.59 fof(f1172,plain,(
% 0.14/0.59 ~sk_c9=sk_c8|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ38_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1157,f288])).
% 0.14/0.59 fof(f1174,plain,(
% 0.14/0.59 ~sk_c9=sk_c9|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ49_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1157,f1156])).
% 0.14/0.59 fof(f1175,plain,(
% 0.14/0.59 $false|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ49_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1174])).
% 0.14/0.59 fof(f1176,plain,(
% 0.14/0.59 ~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ49_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1175])).
% 0.14/0.59 fof(f1182,plain,(
% 0.14/0.59 ~inverse(sk_c9)=sk_c9|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ51_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1157,f1154])).
% 0.14/0.59 fof(f1192,plain,(
% 0.14/0.59 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1157,f1147])).
% 0.14/0.59 fof(f1196,plain,(
% 0.14/0.59 multiply(sk_c9,sk_c1)=sk_c9|~sQ45_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1170,f1192])).
% 0.14/0.59 fof(f1198,plain,(
% 0.14/0.59 sk_c1=sk_c9|~sQ45_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1155,f1196])).
% 0.14/0.59 fof(f1202,plain,(
% 0.14/0.59 ![X0]: (multiply(inverse(X0),X0)=sk_c1|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1198,f1192])).
% 0.14/0.59 fof(f1205,plain,(
% 0.14/0.59 ~inverse(sk_c9)=sk_c1|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ51_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1198,f1182])).
% 0.14/0.59 fof(f1206,plain,(
% 0.14/0.59 ~sk_c1=sk_c8|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ38_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1198,f1172])).
% 0.14/0.59 fof(f1207,plain,(
% 0.14/0.59 sk_c10=sk_c1|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1198,f1157])).
% 0.14/0.59 fof(f1208,plain,(
% 0.14/0.59 identity=sk_c1|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1198,f971])).
% 0.14/0.59 fof(f1211,plain,(
% 0.14/0.59 ~inverse(sk_c1)=sk_c1|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ51_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1198,f1205])).
% 0.14/0.59 fof(f1215,plain,(
% 0.14/0.59 inverse(sk_c1)=sk_c9|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1198,f1171])).
% 0.14/0.59 fof(f1216,plain,(
% 0.14/0.59 inverse(sk_c1)=sk_c1|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1198,f1215])).
% 0.14/0.59 fof(f1226,definition,(
% 0.14/0.59 sQ55_spl <=> (inverse(sk_c1)=sk_c1)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f1228,plain,(
% 0.14/0.59 ~inverse(sk_c1)=sk_c1|sQ55_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f1226])).
% 0.14/0.59 fof(f1231,plain,(
% 0.14/0.59 ~sk_c1=sk_c1|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ55_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1228])).
% 0.14/0.59 fof(f1232,plain,(
% 0.14/0.59 $false|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ55_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1231])).
% 0.14/0.59 fof(f1233,plain,(
% 0.14/0.59 ~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ55_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1232])).
% 0.14/0.59 fof(f1405,plain,(
% 0.14/0.59 ~multiply(inverse(sk_c1),sk_c9)=sk_c10|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1208,f337])).
% 0.14/0.59 fof(f1406,plain,(
% 0.14/0.59 ~multiply(sk_c1,sk_c9)=sk_c10|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1405])).
% 0.14/0.59 fof(f1419,plain,(
% 0.14/0.59 ~sk_c1=sk_c1|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ51_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1211])).
% 0.14/0.59 fof(f1420,plain,(
% 0.14/0.59 $false|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ51_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1419])).
% 0.14/0.59 fof(f1421,plain,(
% 0.14/0.59 ~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ51_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1420])).
% 0.14/0.59 fof(f1430,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c1)=sk_c9|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1198,f1167])).
% 0.14/0.59 fof(f1431,plain,(
% 0.14/0.59 multiply(sk_c8,sk_c1)=sk_c1|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1198,f1430])).
% 0.14/0.59 fof(f1467,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(sk_c1,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1202,f47])).
% 0.14/0.59 fof(f1484,plain,(
% 0.14/0.59 ~inverse(inverse(sk_c1))=inverse(identity)|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1208,f340])).
% 0.14/0.59 fof(f1485,plain,(
% 0.14/0.59 ~inverse(sk_c1)=inverse(identity)|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1484])).
% 0.14/0.59 fof(f1486,plain,(
% 0.14/0.59 ~sk_c1=inverse(identity)|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1485])).
% 0.14/0.59 fof(f1487,plain,(
% 0.14/0.59 ~sk_c1=inverse(sk_c1)|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1208,f1486])).
% 0.14/0.59 fof(f1488,plain,(
% 0.14/0.59 ~sk_c1=sk_c1|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ44_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1487])).
% 0.14/0.59 fof(f1489,plain,(
% 0.14/0.59 $false|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ44_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1488])).
% 0.14/0.59 fof(f1490,plain,(
% 0.14/0.59 ~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ44_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1489])).
% 0.14/0.59 fof(f1491,plain,(
% 0.14/0.59 ![X0]: (multiply(sk_c1,X0)=X0|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f307,f1467])).
% 0.14/0.59 fof(f1504,plain,(
% 0.14/0.59 ~multiply(sk_c1,sk_c1)=sk_c10|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1198,f1406])).
% 0.14/0.59 fof(f1505,plain,(
% 0.14/0.59 ~multiply(sk_c1,sk_c1)=sk_c1|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1207,f1504])).
% 0.14/0.59 fof(f1516,definition,(
% 0.14/0.59 sQ56_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c1)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f1518,plain,(
% 0.14/0.59 ~multiply(sk_c1,inverse(sk_c1))=sk_c1|sQ56_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f1516])).
% 0.14/0.59 fof(f1519,definition,(
% 0.14/0.59 sQ57_spl <=> (multiply(inverse(sk_c1),sk_c1)=sk_c1)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f1521,plain,(
% 0.14/0.59 ~multiply(inverse(sk_c1),sk_c1)=sk_c1|sQ57_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f1519])).
% 0.14/0.59 fof(f1527,plain,(
% 0.14/0.59 ~sk_c1=sk_c1|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ57_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1202,f1521])).
% 0.14/0.59 fof(f1528,plain,(
% 0.14/0.59 $false|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ57_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1527])).
% 0.14/0.59 fof(f1529,plain,(
% 0.14/0.59 ~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ57_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1528])).
% 0.14/0.59 fof(f1530,plain,(
% 0.14/0.59 ~multiply(sk_c1,sk_c1)=sk_c1|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ56_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1518])).
% 0.14/0.59 fof(f1538,definition,(
% 0.14/0.59 sQ59_spl <=> (inverse(inverse(sk_c1))=inverse(sk_c1))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f1540,plain,(
% 0.14/0.59 ~inverse(inverse(sk_c1))=inverse(sk_c1)|sQ59_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f1538])).
% 0.14/0.59 fof(f1547,plain,(
% 0.14/0.59 ~inverse(sk_c1)=inverse(sk_c1)|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1540])).
% 0.14/0.59 fof(f1548,plain,(
% 0.14/0.59 ~sk_c1=inverse(sk_c1)|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1547])).
% 0.14/0.59 fof(f1549,plain,(
% 0.14/0.59 ~sk_c1=sk_c1|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1548])).
% 0.14/0.59 fof(f1550,plain,(
% 0.14/0.59 $false|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1549])).
% 0.14/0.59 fof(f1551,plain,(
% 0.14/0.59 ~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1550])).
% 0.14/0.59 fof(f1553,plain,(
% 0.14/0.59 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c8,multiply(sk_c1,X0))|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1431,f47])).
% 0.14/0.59 fof(f1554,plain,(
% 0.14/0.59 ![X0]: (X0=multiply(sk_c8,multiply(sk_c1,X0))|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1491,f1553])).
% 0.14/0.59 fof(f1555,plain,(
% 0.14/0.59 ![X0]: (X0=multiply(sk_c8,X0)|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1491,f1554])).
% 0.14/0.59 fof(f1559,plain,(
% 0.14/0.59 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1555,f307])).
% 0.14/0.59 fof(f1592,plain,(
% 0.14/0.59 ~sk_c1=sk_c1|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ43_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1491,f1505])).
% 0.14/0.59 fof(f1593,plain,(
% 0.14/0.59 $false|~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ43_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1592])).
% 0.14/0.59 fof(f1594,plain,(
% 0.14/0.59 ~sQ0_spl|~sQ11_spl|~sQ12_spl|~sQ45_spl|sQ43_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1593])).
% 0.14/0.59 fof(f1597,plain,(
% 0.14/0.59 ~sk_c1=sk_c1|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ56_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1491,f1530])).
% 0.14/0.59 fof(f1598,plain,(
% 0.14/0.59 $false|~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ56_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1597])).
% 0.14/0.59 fof(f1599,plain,(
% 0.14/0.59 ~sQ45_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ56_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1598])).
% 0.14/0.59 fof(f1604,plain,(
% 0.14/0.59 sk_c8=sk_c1|~sQ13_spl|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1202,f1559])).
% 0.14/0.59 fof(f1606,plain,(
% 0.14/0.59 sk_c8=sk_c1|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1559,f1202])).
% 0.14/0.59 fof(f1609,plain,(
% 0.14/0.59 $false|sQ38_spl|~sQ13_spl|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1604,f1206])).
% 0.14/0.59 fof(f1610,plain,(
% 0.14/0.59 sQ38_spl|~sQ13_spl|~sQ45_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1609])).
% 0.14/0.59 fof(f1612,plain,(
% 0.14/0.59 ~inverse(sk_c8)=sk_c1|~sQ45_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl|sQ39_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1198,f291])).
% 0.14/0.59 fof(f1618,plain,(
% 0.14/0.59 ~inverse(sk_c1)=sk_c1|~sQ13_spl|~sQ45_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl|sQ39_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1606,f1612])).
% 0.14/0.59 fof(f1619,plain,(
% 0.14/0.59 ~sk_c1=sk_c1|~sQ13_spl|~sQ45_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl|sQ39_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1216,f1618])).
% 0.14/0.59 fof(f1620,plain,(
% 0.14/0.59 $false|~sQ13_spl|~sQ45_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl|sQ39_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f1619])).
% 0.14/0.59 fof(f1621,plain,(
% 0.14/0.59 ~sQ13_spl|~sQ45_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl|sQ39_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1620])).
% 0.14/0.59 fof(f1622,plain,(
% 0.14/0.59 $false),
% 0.14/0.59 inference(sat_refutation,[status(thm)],[f96,f100,f104,f108,f112,f116,f120,f124,f128,f132,f136,f137,f138,f139,f140,f141,f142,f143,f144,f149,f150,f151,f152,f153,f154,f155,f156,f157,f162,f163,f164,f165,f166,f167,f181,f292,f296,f302,f325,f341,f620,f871,f987,f999,f1017,f1039,f1044,f1047,f1111,f1138,f1145,f1159,f1176,f1233,f1421,f1490,f1529,f1551,f1594,f1599,f1610,f1621])).
% 0.14/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.62 % Elapsed time: 0.083554 seconds
% 0.14/0.62 % CPU time: 0.403248 seconds
% 0.14/0.62 % Total memory used: 110.784 MB
% 0.14/0.62 % Net memory used: 110.410 MB
%------------------------------------------------------------------------------