%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP271-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:36:21 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP271-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:07:54 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f6,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f7,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f8,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f9,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f10,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f11,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f12,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f13,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f14,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f15,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f17,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f23,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c11| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f24,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f25,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f26,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f27,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f28,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f29,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f30,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f34,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f35,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f36,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f37,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f38,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f39,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f40,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f41,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f42,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f43,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f44,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f45,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f46,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f47,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f54,negated_conjecture,(
% 0.13/0.42 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( multiply(X3,sk_c11) != sk_c10| inverse(X3) != sk_c11| multiply(sk_c11,sk_c9) != sk_c10| multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| 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 ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f55,plain,(
% 0.13/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f56,plain,(
% 0.13/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f57,plain,(
% 0.13/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.42 fof(f58,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f59,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f60,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.42 fof(f61,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.42 fof(f62,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.42 fof(f63,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.42 fof(f64,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.42 fof(f65,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.42 fof(f66,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.42 fof(f67,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f68,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.42 fof(f69,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.42 fof(f71,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.42 fof(f77,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.42 fof(f78,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.42 fof(f79,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.42 fof(f80,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.42 fof(f81,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.42 fof(f82,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.42 fof(f83,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.42 fof(f84,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.42 fof(f88,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.42 fof(f89,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c3)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.42 fof(f90,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.42 fof(f91,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.42 fof(f92,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.42 fof(f93,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.42 fof(f94,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c8,sk_c10)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.42 fof(f95,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c7)=sk_c6),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.42 fof(f96,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.42 fof(f97,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.42 fof(f98,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.42 fof(f99,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.42 fof(f100,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.42 fof(f101,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.42 fof(f108,plain,(
% 0.13/0.42 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((((![X3]: (~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11))|~multiply(sk_c11,sk_c9)=sk_c10)|~multiply(X4,sk_c10)=sk_c9)|~inverse(X4)=sk_c10))|~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)),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f54])).
% 0.13/0.42 fof(f109,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(sk_c11,sk_c9)=sk_c10|~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10|~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)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f108])).
% 0.13/0.42 fof(f110,definition,(
% 0.13/0.42 sQ0_spl <=> (multiply(sk_c1,sk_c11)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f111,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=sk_c10|~sQ0_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f110])).
% 0.13/0.42 fof(f113,definition,(
% 0.13/0.42 sQ1_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f114,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c11)=sk_c10|~sQ1_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f113])).
% 0.13/0.42 fof(f116,plain,(
% 0.13/0.42 sQ0_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 0.13/0.42 fof(f117,definition,(
% 0.13/0.42 sQ2_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f118,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c11|~sQ2_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.42 fof(f120,plain,(
% 0.13/0.42 sQ0_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 0.13/0.42 fof(f121,definition,(
% 0.13/0.42 sQ3_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f122,plain,(
% 0.13/0.42 multiply(sk_c4,sk_c10)=sk_c9|~sQ3_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.42 fof(f124,plain,(
% 0.13/0.42 sQ0_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f60,f110,f121])).
% 0.13/0.42 fof(f125,definition,(
% 0.13/0.42 sQ4_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f126,plain,(
% 0.13/0.42 inverse(sk_c4)=sk_c10|~sQ4_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.42 fof(f128,plain,(
% 0.13/0.42 sQ0_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f61,f110,f125])).
% 0.13/0.42 fof(f129,definition,(
% 0.13/0.42 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f130,plain,(
% 0.13/0.42 multiply(sk_c5,sk_c8)=sk_c11|~sQ5_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f129])).
% 0.13/0.42 fof(f132,plain,(
% 0.13/0.42 sQ0_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 0.13/0.42 fof(f133,definition,(
% 0.13/0.42 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f134,plain,(
% 0.13/0.42 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.42 fof(f136,plain,(
% 0.13/0.42 sQ0_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 0.13/0.42 fof(f137,definition,(
% 0.13/0.42 sQ7_spl <=> (multiply(sk_c8,sk_c10)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f138,plain,(
% 0.13/0.42 multiply(sk_c8,sk_c10)=sk_c11|~sQ7_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f137])).
% 0.13/0.42 fof(f140,plain,(
% 0.13/0.42 sQ0_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f64,f110,f137])).
% 0.13/0.42 fof(f141,definition,(
% 0.13/0.42 sQ8_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f142,plain,(
% 0.13/0.42 inverse(sk_c7)=sk_c6|~sQ8_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.42 fof(f144,plain,(
% 0.13/0.42 sQ0_spl|sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f65,f110,f141])).
% 0.13/0.42 fof(f145,definition,(
% 0.13/0.42 sQ9_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f148,plain,(
% 0.13/0.42 sQ0_spl|sQ9_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f66,f110,f145])).
% 0.13/0.42 fof(f149,definition,(
% 0.13/0.42 sQ10_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f150,plain,(
% 0.13/0.42 multiply(sk_c7,sk_c8)=sk_c6|~sQ10_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.42 fof(f152,plain,(
% 0.13/0.42 sQ0_spl|sQ10_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f67,f110,f149])).
% 0.13/0.42 fof(f153,definition,(
% 0.13/0.42 sQ11_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f154,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c11|~sQ11_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.42 fof(f155,plain,(
% 0.13/0.42 ~inverse(sk_c1)=sk_c11|sQ11_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.42 fof(f156,plain,(
% 0.13/0.42 sQ11_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 0.13/0.42 fof(f157,plain,(
% 0.13/0.42 sQ11_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 0.13/0.42 fof(f159,plain,(
% 0.13/0.42 sQ11_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 0.13/0.42 fof(f165,plain,(
% 0.13/0.42 sQ11_spl|sQ10_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f77,f153,f149])).
% 0.13/0.42 fof(f166,definition,(
% 0.13/0.42 sQ12_spl <=> (multiply(sk_c11,sk_c9)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f167,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=sk_c10|~sQ12_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f166])).
% 0.13/0.42 fof(f168,plain,(
% 0.13/0.42 ~multiply(sk_c11,sk_c9)=sk_c10|sQ12_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f166])).
% 0.13/0.42 fof(f169,plain,(
% 0.13/0.42 sQ12_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f78,f166,f113])).
% 0.13/0.42 fof(f170,plain,(
% 0.13/0.42 sQ12_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 0.13/0.42 fof(f171,plain,(
% 0.13/0.42 sQ12_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f80,f166,f121])).
% 0.13/0.42 fof(f172,plain,(
% 0.13/0.42 sQ12_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f81,f166,f125])).
% 0.13/0.42 fof(f173,plain,(
% 0.13/0.42 sQ12_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f82,f166,f129])).
% 0.13/0.42 fof(f174,plain,(
% 0.13/0.42 sQ12_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f83,f166,f133])).
% 0.13/0.42 fof(f175,plain,(
% 0.13/0.42 sQ12_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f84,f166,f137])).
% 0.13/0.42 fof(f179,definition,(
% 0.13/0.42 sQ13_spl <=> (multiply(sk_c2,sk_c10)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f180,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c10)=sk_c9|~sQ13_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f179])).
% 0.13/0.42 fof(f182,plain,(
% 0.13/0.42 sQ13_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f88,f179,f113])).
% 0.13/0.42 fof(f183,plain,(
% 0.13/0.42 sQ13_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 0.13/0.42 fof(f184,plain,(
% 0.13/0.42 sQ13_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f90,f179,f121])).
% 0.13/0.42 fof(f185,plain,(
% 0.13/0.42 sQ13_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f91,f179,f125])).
% 0.13/0.42 fof(f186,plain,(
% 0.13/0.42 sQ13_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f92,f179,f129])).
% 0.13/0.42 fof(f187,plain,(
% 0.13/0.42 sQ13_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f93,f179,f133])).
% 0.13/0.42 fof(f188,plain,(
% 0.13/0.42 sQ13_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f94,f179,f137])).
% 0.13/0.42 fof(f189,plain,(
% 0.13/0.42 sQ13_spl|sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f95,f179,f141])).
% 0.13/0.42 fof(f190,plain,(
% 0.13/0.42 sQ13_spl|sQ9_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f96,f179,f145])).
% 0.13/0.42 fof(f191,plain,(
% 0.13/0.42 sQ13_spl|sQ10_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f97,f179,f149])).
% 0.13/0.42 fof(f192,definition,(
% 0.13/0.42 sQ14_spl <=> (inverse(sk_c2)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f193,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c10|~sQ14_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f192])).
% 0.13/0.42 fof(f194,plain,(
% 0.13/0.42 ~inverse(sk_c2)=sk_c10|sQ14_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f192])).
% 0.13/0.42 fof(f195,plain,(
% 0.13/0.42 sQ14_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 0.13/0.42 fof(f196,plain,(
% 0.13/0.42 sQ14_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 0.13/0.42 fof(f197,plain,(
% 0.13/0.42 sQ14_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f100,f192,f121])).
% 0.13/0.42 fof(f198,plain,(
% 0.13/0.42 sQ14_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f101,f192,f125])).
% 0.13/0.42 fof(f205,definition,(
% 0.13/0.42 ![X0]: (sQ15_spl <=> (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f206,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ15_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f205])).
% 0.13/0.42 fof(f208,definition,(
% 0.13/0.42 ![X1]: (sQ16_spl <=> (~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f209,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ16_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f208])).
% 0.13/0.42 fof(f211,definition,(
% 0.13/0.42 ![X4,X5,X6,X7]: (sQ17_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))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f212,plain,(
% 0.13/0.42 ![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|~sQ17_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f211])).
% 0.13/0.42 fof(f214,plain,(
% 0.13/0.42 sQ15_spl|~sQ12_spl|sQ16_spl|sQ17_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f109,f205,f166,f208,f211])).
% 0.13/0.42 fof(f215,plain,(
% 0.13/0.42 ![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)|~sQ17_spl)),
% 0.13/0.42 inference(destructive_equality_resolution,[status(thm)],[f212])).
% 0.13/0.42 fof(f217,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c2,multiply(sk_c10,X0))|~sQ13_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f180,f57])).
% 0.13/0.42 fof(f220,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c1,multiply(sk_c11,X0))|~sQ0_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f111,f57])).
% 0.13/0.42 fof(f222,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c8,multiply(sk_c10,X0))|~sQ7_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f138,f57])).
% 0.13/0.42 fof(f224,plain,(
% 0.13/0.42 multiply(sk_c10,sk_c4)=identity|~sQ4_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f126,f56])).
% 0.13/0.42 fof(f225,plain,(
% 0.13/0.42 multiply(sk_c8,sk_c5)=identity|~sQ6_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f134,f56])).
% 0.13/0.42 fof(f228,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c1)=identity|~sQ11_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f154,f56])).
% 0.13/0.42 fof(f229,plain,(
% 0.13/0.42 multiply(sk_c10,sk_c2)=identity|~sQ14_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f193,f56])).
% 0.13/0.42 fof(f230,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f56,f57])).
% 0.13/0.42 fof(f231,plain,(
% 0.13/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f230])).
% 0.13/0.42 fof(f232,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~sQ5_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f130,f57])).
% 0.13/0.42 fof(f241,plain,(
% 0.13/0.42 ![X0]: (~multiply(sk_c5,sk_c8)=sk_c11|~multiply(inverse(sk_c5),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c5)|~multiply(X0,inverse(sk_c5))=inverse(X0)|~sQ17_spl|~sQ6_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f134,f215])).
% 0.13/0.42 fof(f252,definition,(
% 0.13/0.42 sQ20_spl <=> (inverse(inverse(identity))=inverse(identity))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f254,plain,(
% 0.13/0.42 ~inverse(inverse(identity))=inverse(identity)|sQ20_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f252])).
% 0.13/0.42 fof(f256,definition,(
% 0.13/0.42 sQ21_spl <=> (inverse(identity)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f258,plain,(
% 0.13/0.42 ~inverse(identity)=sk_c11|sQ21_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f256])).
% 0.13/0.42 fof(f259,definition,(
% 0.13/0.42 ![X0]: (sQ22_spl <=> (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f260,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ22_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f259])).
% 0.13/0.42 fof(f266,definition,(
% 0.13/0.42 sQ24_spl <=> (multiply(inverse(sk_c3),sk_c10)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f267,plain,(
% 0.13/0.42 multiply(inverse(sk_c3),sk_c10)=sk_c11|~sQ24_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f266])).
% 0.13/0.42 fof(f268,plain,(
% 0.13/0.42 ~multiply(inverse(sk_c3),sk_c10)=sk_c11|sQ24_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f266])).
% 0.13/0.42 fof(f283,definition,(
% 0.13/0.42 sQ29_spl <=> (multiply(inverse(sk_c5),sk_c10)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f285,plain,(
% 0.13/0.42 ~multiply(inverse(sk_c5),sk_c10)=sk_c11|sQ29_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f283])).
% 0.13/0.42 fof(f286,definition,(
% 0.13/0.42 ![X0]: (sQ30_spl <=> (~inverse(inverse(X0))=inverse(sk_c5)|~multiply(X0,inverse(sk_c5))=inverse(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f287,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(sk_c5)|~multiply(X0,inverse(sk_c5))=inverse(X0)|~sQ30_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f286])).
% 0.13/0.42 fof(f289,plain,(
% 0.13/0.42 ~sQ5_spl|~sQ29_spl|sQ30_spl|~sQ17_spl|~sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f241,f129,f283,f286,f211,f133])).
% 0.13/0.42 fof(f313,definition,(
% 0.13/0.42 sQ38_spl <=> (multiply(inverse(sk_c1),sk_c10)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f314,plain,(
% 0.13/0.42 multiply(inverse(sk_c1),sk_c10)=sk_c11|~sQ38_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f313])).
% 0.13/0.42 fof(f315,plain,(
% 0.13/0.42 ~multiply(inverse(sk_c1),sk_c10)=sk_c11|sQ38_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f313])).
% 0.13/0.42 fof(f326,definition,(
% 0.13/0.42 ![X0]: (sQ42_spl <=> (~inverse(inverse(X0))=inverse(sk_c2)|~multiply(X0,inverse(sk_c2))=inverse(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f327,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(sk_c2)|~multiply(X0,inverse(sk_c2))=inverse(X0)|~sQ42_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f326])).
% 0.13/0.42 fof(f330,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=sk_c10|~multiply(X0,inverse(sk_c2))=inverse(X0)|~sQ14_spl|~sQ42_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f193,f327])).
% 0.13/0.42 fof(f331,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=sk_c10|~multiply(X0,sk_c10)=inverse(X0)|~sQ14_spl|~sQ42_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f193,f330])).
% 0.13/0.42 fof(f343,plain,(
% 0.13/0.42 ~inverse(sk_c2)=sk_c10|~sQ16_spl|~sQ13_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f209,f180])).
% 0.13/0.42 fof(f350,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f193,f343])).
% 0.13/0.42 fof(f351,plain,(
% 0.13/0.42 $false|~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f350])).
% 0.13/0.42 fof(f352,plain,(
% 0.13/0.42 ~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f351])).
% 0.13/0.42 fof(f355,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~inverse(sk_c3)=sk_c11|~sQ15_spl|~sQ1_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f114,f206])).
% 0.13/0.42 fof(f358,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~inverse(sk_c1)=sk_c11|~sQ15_spl|~sQ0_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f111,f206])).
% 0.13/0.42 fof(f360,definition,(
% 0.13/0.42 sQ43_spl <=> (sk_c10=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f362,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|sQ43_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f360])).
% 0.13/0.42 fof(f363,plain,(
% 0.13/0.42 ~sQ43_spl|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f355,f360,f117,f205,f113])).
% 0.13/0.42 fof(f375,plain,(
% 0.13/0.42 ~sQ43_spl|~sQ11_spl|~sQ15_spl|~sQ0_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f358,f360,f153,f205,f110])).
% 0.13/0.42 fof(f376,plain,(
% 0.13/0.42 $false|sQ43_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f362])).
% 0.13/0.42 fof(f377,plain,(
% 0.13/0.42 sQ43_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f376])).
% 0.13/0.42 fof(f428,plain,(
% 0.13/0.42 ~inverse(sk_c10)=sk_c10|~multiply(sk_c4,sk_c10)=inverse(sk_c4)|~sQ14_spl|~sQ42_spl|~sQ4_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f126,f331])).
% 0.13/0.42 fof(f430,plain,(
% 0.13/0.42 ~inverse(sk_c10)=sk_c10|~multiply(sk_c2,sk_c10)=inverse(sk_c2)|~sQ42_spl|~sQ14_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f193,f331])).
% 0.13/0.42 fof(f449,definition,(
% 0.13/0.42 sQ52_spl <=> (inverse(sk_c10)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f451,plain,(
% 0.13/0.42 ~inverse(sk_c10)=sk_c10|sQ52_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f449])).
% 0.13/0.42 fof(f452,definition,(
% 0.13/0.42 sQ53_spl <=> (multiply(sk_c4,sk_c10)=inverse(sk_c4))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f454,plain,(
% 0.13/0.42 ~multiply(sk_c4,sk_c10)=inverse(sk_c4)|sQ53_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f452])).
% 0.13/0.42 fof(f455,plain,(
% 0.13/0.42 ~sQ52_spl|~sQ53_spl|~sQ14_spl|~sQ42_spl|~sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f428,f449,f452,f192,f326,f125])).
% 0.13/0.42 fof(f463,definition,(
% 0.13/0.42 sQ56_spl <=> (multiply(sk_c2,sk_c10)=inverse(sk_c2))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f466,plain,(
% 0.13/0.42 ~sQ52_spl|~sQ56_spl|~sQ42_spl|~sQ14_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f430,f449,f463,f326,f192])).
% 0.13/0.42 fof(f469,plain,(
% 0.13/0.42 ~sk_c9=inverse(sk_c4)|~sQ3_spl|sQ53_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f122,f454])).
% 0.13/0.42 fof(f470,plain,(
% 0.13/0.42 ~sk_c9=sk_c10|~sQ4_spl|~sQ3_spl|sQ53_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f126,f469])).
% 0.13/0.42 fof(f490,definition,(
% 0.13/0.42 sQ59_spl <=> (multiply(sk_c7,sk_c8)=inverse(sk_c7))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f492,plain,(
% 0.13/0.42 ~multiply(sk_c7,sk_c8)=inverse(sk_c7)|sQ59_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f490])).
% 0.13/0.42 fof(f520,plain,(
% 0.13/0.42 ~sk_c6=inverse(sk_c7)|~sQ10_spl|sQ59_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f150,f492])).
% 0.13/0.42 fof(f521,plain,(
% 0.13/0.42 ~sk_c6=sk_c6|~sQ8_spl|~sQ10_spl|sQ59_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f142,f520])).
% 0.13/0.42 fof(f522,plain,(
% 0.13/0.42 $false|~sQ8_spl|~sQ10_spl|sQ59_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f521])).
% 0.13/0.42 fof(f523,plain,(
% 0.13/0.42 ~sQ8_spl|~sQ10_spl|sQ59_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f522])).
% 0.13/0.42 fof(f583,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=sk_c8|~multiply(X0,inverse(sk_c5))=inverse(X0)|~sQ6_spl|~sQ30_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f134,f287])).
% 0.13/0.42 fof(f584,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=sk_c8|~multiply(X0,sk_c8)=inverse(X0)|~sQ6_spl|~sQ30_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f134,f583])).
% 0.13/0.42 fof(f586,plain,(
% 0.13/0.42 ~inverse(sk_c6)=sk_c8|~multiply(sk_c7,sk_c8)=inverse(sk_c7)|~sQ6_spl|~sQ30_spl|~sQ8_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f142,f584])).
% 0.13/0.42 fof(f591,plain,(
% 0.13/0.42 ~sQ9_spl|~sQ59_spl|~sQ6_spl|~sQ30_spl|~sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f586,f145,f490,f133,f286,f141])).
% 0.13/0.42 fof(f595,plain,(
% 0.13/0.42 ~multiply(sk_c8,sk_c10)=sk_c11|~sQ6_spl|sQ29_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f134,f285])).
% 0.13/0.42 fof(f596,plain,(
% 0.13/0.42 ~sk_c11=sk_c11|~sQ7_spl|~sQ6_spl|sQ29_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f138,f595])).
% 0.13/0.42 fof(f597,plain,(
% 0.13/0.42 $false|~sQ7_spl|~sQ6_spl|sQ29_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f596])).
% 0.13/0.42 fof(f598,plain,(
% 0.13/0.42 ~sQ7_spl|~sQ6_spl|sQ29_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f597])).
% 0.13/0.42 fof(f659,plain,(
% 0.13/0.42 ~multiply(sk_c11,sk_c10)=sk_c11|~sQ2_spl|sQ24_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f118,f268])).
% 0.13/0.42 fof(f661,plain,(
% 0.13/0.42 ~inverse(inverse(inverse(inverse(identity))))=inverse(identity)|~identity=inverse(inverse(inverse(identity)))|~sQ22_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f56,f260])).
% 0.13/0.42 fof(f662,plain,(
% 0.13/0.42 ~inverse(inverse(identity))=inverse(identity)|~inverse(identity)=inverse(identity)|~sQ22_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f55,f260])).
% 0.13/0.42 fof(f664,definition,(
% 0.13/0.42 sQ84_spl <=> (inverse(inverse(inverse(inverse(identity))))=inverse(identity))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f667,definition,(
% 0.13/0.42 sQ85_spl <=> (identity=inverse(inverse(inverse(identity))))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f670,plain,(
% 0.13/0.42 ~sQ84_spl|~sQ85_spl|~sQ22_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f661,f664,f667,f259])).
% 0.13/0.42 fof(f671,definition,(
% 0.13/0.42 sQ86_spl <=> (inverse(identity)=inverse(identity))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f673,plain,(
% 0.13/0.42 ~inverse(identity)=inverse(identity)|sQ86_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f671])).
% 0.13/0.42 fof(f674,plain,(
% 0.13/0.42 ~sQ20_spl|~sQ86_spl|~sQ22_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f662,f252,f671,f259])).
% 0.13/0.42 fof(f675,plain,(
% 0.13/0.42 $false|sQ86_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f673])).
% 0.13/0.42 fof(f676,plain,(
% 0.13/0.42 sQ86_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f675])).
% 0.13/0.42 fof(f725,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c10,X0)=multiply(inverse(sk_c2),multiply(sk_c9,X0))|~sQ13_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f217,f231])).
% 0.13/0.42 fof(f730,plain,(
% 0.13/0.42 sk_c11=multiply(inverse(sk_c3),sk_c10)|~sQ1_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f114,f231])).
% 0.13/0.42 fof(f733,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f231,f231])).
% 0.13/0.42 fof(f734,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f56,f231])).
% 0.13/0.42 fof(f742,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c11,X0)=multiply(inverse(sk_c1),multiply(sk_c10,X0))|~sQ0_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f220,f231])).
% 0.13/0.42 fof(f743,plain,(
% 0.13/0.42 sk_c11=multiply(inverse(sk_c1),sk_c10)|~sQ0_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f111,f231])).
% 0.13/0.42 fof(f750,plain,(
% 0.13/0.42 sk_c11=multiply(sk_c11,sk_c10)|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f118,f730])).
% 0.13/0.42 fof(f751,plain,(
% 0.13/0.42 $false|sQ24_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f750,f659])).
% 0.13/0.42 fof(f752,plain,(
% 0.13/0.42 sQ24_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f751])).
% 0.13/0.42 fof(f757,plain,(
% 0.13/0.42 $false|sQ38_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f743,f315])).
% 0.13/0.42 fof(f758,plain,(
% 0.13/0.42 sQ38_spl|~sQ0_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f757])).
% 0.13/0.42 fof(f760,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c10)=sk_c11|~sQ2_spl|~sQ24_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f118,f267])).
% 0.13/0.42 fof(f762,plain,(
% 0.13/0.42 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ2_spl|~sQ24_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f760,f231])).
% 0.13/0.42 fof(f765,plain,(
% 0.13/0.42 sk_c10=identity|~sQ2_spl|~sQ24_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f56,f762])).
% 0.13/0.42 fof(f787,plain,(
% 0.13/0.42 multiply(identity,sk_c4)=identity|~sQ2_spl|~sQ24_spl|~sQ4_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f765,f224])).
% 0.13/0.42 fof(f795,plain,(
% 0.13/0.42 ~sk_c9=identity|~sQ2_spl|~sQ24_spl|~sQ4_spl|~sQ3_spl|sQ53_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f765,f470])).
% 0.13/0.42 fof(f797,plain,(
% 0.13/0.42 ~inverse(sk_c2)=identity|~sQ2_spl|~sQ24_spl|sQ14_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f765,f194])).
% 0.13/0.42 fof(f802,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c8,multiply(identity,X0))|~sQ2_spl|~sQ24_spl|~sQ7_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f765,f222])).
% 0.13/0.42 fof(f803,plain,(
% 0.13/0.42 inverse(sk_c4)=identity|~sQ2_spl|~sQ24_spl|~sQ4_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f765,f126])).
% 0.13/0.42 fof(f805,plain,(
% 0.13/0.42 multiply(sk_c4,identity)=sk_c9|~sQ2_spl|~sQ24_spl|~sQ3_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f765,f122])).
% 0.13/0.42 fof(f809,plain,(
% 0.13/0.42 sk_c4=identity|~sQ2_spl|~sQ24_spl|~sQ4_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f787])).
% 0.13/0.42 fof(f816,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c8,X0)|~sQ2_spl|~sQ24_spl|~sQ7_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f802])).
% 0.13/0.42 fof(f823,plain,(
% 0.13/0.42 ~inverse(inverse(identity))=identity|~sQ2_spl|~sQ24_spl|~sQ4_spl|sQ20_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f825,f254])).
% 0.13/0.42 fof(f825,plain,(
% 0.13/0.42 inverse(identity)=identity|~sQ2_spl|~sQ24_spl|~sQ4_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f809,f803])).
% 0.13/0.42 fof(f828,plain,(
% 0.13/0.42 ~inverse(identity)=identity|~sQ2_spl|~sQ24_spl|~sQ4_spl|sQ20_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f825,f823])).
% 0.13/0.42 fof(f829,plain,(
% 0.13/0.42 ~identity=identity|~sQ2_spl|~sQ24_spl|~sQ4_spl|sQ20_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f825,f828])).
% 0.13/0.42 fof(f830,plain,(
% 0.13/0.42 $false|~sQ2_spl|~sQ24_spl|~sQ4_spl|sQ20_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f829])).
% 0.13/0.42 fof(f831,plain,(
% 0.13/0.42 ~sQ2_spl|~sQ24_spl|~sQ4_spl|sQ20_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f830])).
% 0.13/0.42 fof(f859,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c10)=sk_c11|~sQ11_spl|~sQ38_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f154,f314])).
% 0.13/0.42 fof(f861,plain,(
% 0.13/0.42 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ11_spl|~sQ38_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f859,f231])).
% 0.13/0.42 fof(f864,plain,(
% 0.13/0.42 sk_c10=identity|~sQ11_spl|~sQ38_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f56,f861])).
% 0.13/0.42 fof(f876,plain,(
% 0.13/0.42 inverse(sk_c2)=identity|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f864,f193])).
% 0.13/0.42 fof(f878,plain,(
% 0.13/0.42 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),identity)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ11_spl|~sQ38_spl|~sQ17_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f864,f215])).
% 0.13/0.42 fof(f879,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c9)=identity|~sQ11_spl|~sQ38_spl|~sQ12_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f864,f167])).
% 0.13/0.42 fof(f884,plain,(
% 0.13/0.42 multiply(sk_c2,identity)=sk_c9|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f864,f180])).
% 0.13/0.42 fof(f885,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c11)=identity|~sQ11_spl|~sQ38_spl|~sQ0_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f864,f111])).
% 0.13/0.42 fof(f894,plain,(
% 0.13/0.42 ~inverse(identity)=sk_c10|~sQ11_spl|~sQ38_spl|sQ52_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f864,f451])).
% 0.13/0.42 fof(f895,plain,(
% 0.13/0.42 ~inverse(identity)=identity|~sQ11_spl|~sQ38_spl|sQ52_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f864,f894])).
% 0.13/0.42 fof(f990,definition,(
% 0.13/0.42 ![X0]: (sQ100_spl <=> (~inverse(inverse(X0))=inverse(multiply(sk_c11,sk_c9))|~multiply(X0,inverse(multiply(sk_c11,sk_c9)))=inverse(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f991,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(multiply(sk_c11,sk_c9))|~multiply(X0,inverse(multiply(sk_c11,sk_c9)))=inverse(X0)|~sQ100_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f990])).
% 0.13/0.42 fof(f1013,definition,(
% 0.13/0.42 ![X0]: (sQ103_spl <=> (~inverse(inverse(X0))=inverse(multiply(sk_c1,sk_c11))|~multiply(X0,inverse(multiply(sk_c1,sk_c11)))=inverse(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f1014,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(multiply(sk_c1,sk_c11))|~multiply(X0,inverse(multiply(sk_c1,sk_c11)))=inverse(X0)|~sQ103_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1013])).
% 0.13/0.42 fof(f1033,definition,(
% 0.13/0.42 ![X0]: (sQ109_spl <=> (~inverse(inverse(X0))=inverse(multiply(sk_c11,sk_c1))|~multiply(X0,inverse(multiply(sk_c11,sk_c1)))=inverse(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f1034,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(multiply(sk_c11,sk_c1))|~multiply(X0,inverse(multiply(sk_c11,sk_c1)))=inverse(X0)|~sQ109_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1033])).
% 0.13/0.42 fof(f1064,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(multiply(sk_c11,sk_c9)))=inverse(X0)|~sQ11_spl|~sQ38_spl|~sQ12_spl|~sQ100_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f879,f991])).
% 0.13/0.42 fof(f1065,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ11_spl|~sQ38_spl|~sQ12_spl|~sQ100_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f879,f1064])).
% 0.13/0.42 fof(f1069,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(multiply(sk_c11,sk_c1)))=inverse(X0)|~sQ11_spl|~sQ109_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f228,f1034])).
% 0.13/0.42 fof(f1070,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ11_spl|~sQ109_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f228,f1069])).
% 0.13/0.42 fof(f1077,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(multiply(sk_c1,sk_c11)))=inverse(X0)|~sQ11_spl|~sQ38_spl|~sQ0_spl|~sQ103_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f885,f1014])).
% 0.13/0.42 fof(f1078,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ11_spl|~sQ38_spl|~sQ0_spl|~sQ103_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f885,f1077])).
% 0.13/0.42 fof(f1110,plain,(
% 0.13/0.42 multiply(identity,sk_c2)=identity|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f864,f229])).
% 0.13/0.42 fof(f1111,plain,(
% 0.13/0.42 multiply(identity,identity)=sk_c9|~sQ14_spl|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1113,f884])).
% 0.13/0.42 fof(f1112,plain,(
% 0.13/0.42 inverse(identity)=identity|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1113,f876])).
% 0.13/0.42 fof(f1113,plain,(
% 0.13/0.42 sk_c2=identity|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f1110])).
% 0.13/0.42 fof(f1114,plain,(
% 0.13/0.42 identity=sk_c9|~sQ14_spl|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f1111])).
% 0.13/0.42 fof(f1115,plain,(
% 0.13/0.42 $false|sQ52_spl|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1112,f895])).
% 0.13/0.42 fof(f1116,plain,(
% 0.13/0.42 sQ52_spl|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1115])).
% 0.13/0.42 fof(f1120,plain,(
% 0.13/0.42 multiply(sk_c11,identity)=identity|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1114,f879])).
% 0.13/0.42 fof(f1123,plain,(
% 0.13/0.42 ~inverse(inverse(identity))=identity|~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ20_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1112,f254])).
% 0.13/0.42 fof(f1124,plain,(
% 0.13/0.42 ~identity=sk_c11|~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ21_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1112,f258])).
% 0.13/0.42 fof(f1128,plain,(
% 0.13/0.42 ~inverse(identity)=identity|~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ20_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1112,f1123])).
% 0.13/0.42 fof(f1129,plain,(
% 0.13/0.42 ~identity=identity|~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ20_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1112,f1128])).
% 0.13/0.42 fof(f1130,plain,(
% 0.13/0.42 $false|~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ20_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1129])).
% 0.13/0.42 fof(f1131,plain,(
% 0.13/0.42 ~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ20_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1130])).
% 0.13/0.42 fof(f1165,plain,(
% 0.13/0.42 multiply(sk_c8,sk_c5)=identity|~sQ6_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f134,f56])).
% 0.13/0.42 fof(f1172,plain,(
% 0.13/0.42 multiply(identity,identity)=sk_c9|~sQ4_spl|~sQ2_spl|~sQ24_spl|~sQ3_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f809,f805])).
% 0.13/0.42 fof(f1173,plain,(
% 0.13/0.42 identity=sk_c9|~sQ4_spl|~sQ2_spl|~sQ24_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f1172])).
% 0.13/0.42 fof(f1174,plain,(
% 0.13/0.42 $false|sQ53_spl|~sQ4_spl|~sQ2_spl|~sQ24_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1173,f795])).
% 0.13/0.42 fof(f1175,plain,(
% 0.13/0.42 sQ53_spl|~sQ4_spl|~sQ2_spl|~sQ24_spl|~sQ3_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1174])).
% 0.13/0.42 fof(f1261,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c5)=identity|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f816,f225])).
% 0.13/0.42 fof(f1307,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c5,multiply(sk_c11,X0))|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ5_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f816,f232])).
% 0.13/0.42 fof(f1308,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c5)=multiply(sk_c5,identity)|~sQ5_spl|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f1261,f1307])).
% 0.13/0.42 fof(f1314,plain,(
% 0.13/0.42 identity=multiply(sk_c5,identity)|~sQ5_spl|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1261,f1308])).
% 0.13/0.42 fof(f1437,plain,(
% 0.13/0.42 ![X0]: (multiply(identity,X0)=multiply(inverse(sk_c2),multiply(sk_c9,X0))|~sQ2_spl|~sQ24_spl|~sQ13_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f765,f725])).
% 0.13/0.42 fof(f1438,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(inverse(sk_c2),multiply(sk_c9,X0))|~sQ2_spl|~sQ24_spl|~sQ13_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f1437])).
% 0.13/0.42 fof(f1439,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(inverse(sk_c2),multiply(identity,X0))|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|~sQ13_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1173,f1438])).
% 0.13/0.42 fof(f1441,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(inverse(sk_c2),X0)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|~sQ13_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f1439])).
% 0.13/0.42 fof(f1443,plain,(
% 0.13/0.42 sk_c2=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|~sQ13_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f56,f1441])).
% 0.13/0.42 fof(f1450,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c11,X0)=multiply(inverse(sk_c1),multiply(identity,X0))|~sQ2_spl|~sQ24_spl|~sQ0_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f765,f742])).
% 0.13/0.42 fof(f1452,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c11,X0)=multiply(inverse(sk_c1),X0)|~sQ2_spl|~sQ24_spl|~sQ0_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f1450])).
% 0.13/0.42 fof(f1473,plain,(
% 0.13/0.42 ~inverse(identity)=identity|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl|~sQ24_spl|sQ14_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1443,f797])).
% 0.13/0.42 fof(f1476,plain,(
% 0.13/0.42 ~identity=identity|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl|~sQ24_spl|sQ14_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f825,f1473])).
% 0.13/0.42 fof(f1477,plain,(
% 0.13/0.42 $false|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl|~sQ24_spl|sQ14_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1476])).
% 0.13/0.42 fof(f1478,plain,(
% 0.13/0.42 ~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl|~sQ24_spl|sQ14_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1477])).
% 0.13/0.42 fof(f1632,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(X0,identity))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f733,f734])).
% 0.13/0.42 fof(f1635,plain,(
% 0.13/0.42 inverse(sk_c1)=multiply(sk_c11,identity)|~sQ2_spl|~sQ24_spl|~sQ0_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f1452,f1632])).
% 0.13/0.42 fof(f1655,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c11|~sQ2_spl|~sQ24_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1632,f1635])).
% 0.13/0.42 fof(f1656,plain,(
% 0.13/0.42 $false|sQ11_spl|~sQ2_spl|~sQ24_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1655,f155])).
% 0.13/0.42 fof(f1657,plain,(
% 0.13/0.42 sQ11_spl|~sQ2_spl|~sQ24_spl|~sQ0_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1656])).
% 0.13/0.42 fof(f1664,plain,(
% 0.13/0.42 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~inverse(X0)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ11_spl|~sQ38_spl|~sQ17_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1632,f878])).
% 0.13/0.42 fof(f1682,plain,(
% 0.13/0.42 sQ22_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl|~sQ100_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1065,f259,f153,f313,f166,f990])).
% 0.13/0.42 fof(f1683,plain,(
% 0.13/0.42 sk_c11=identity|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1632,f1120])).
% 0.13/0.42 fof(f1688,plain,(
% 0.13/0.42 sQ22_spl|~sQ11_spl|~sQ109_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1070,f259,f153,f1033])).
% 0.13/0.42 fof(f1689,plain,(
% 0.13/0.42 sQ22_spl|~sQ11_spl|~sQ38_spl|~sQ0_spl|~sQ103_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1078,f259,f153,f313,f110,f1013])).
% 0.13/0.42 fof(f1701,plain,(
% 0.13/0.42 identity=sk_c5|~sQ5_spl|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1632,f1314])).
% 0.13/0.42 fof(f1783,plain,(
% 0.13/0.42 ~multiply(sk_c11,identity)=sk_c10|~sQ4_spl|~sQ2_spl|~sQ24_spl|~sQ3_spl|sQ12_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1173,f168])).
% 0.13/0.42 fof(f1784,plain,(
% 0.13/0.42 ~sk_c11=sk_c10|~sQ4_spl|~sQ2_spl|~sQ24_spl|~sQ3_spl|sQ12_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1632,f1783])).
% 0.13/0.42 fof(f1785,plain,(
% 0.13/0.42 ~sk_c11=identity|~sQ4_spl|~sQ2_spl|~sQ24_spl|~sQ3_spl|sQ12_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f765,f1784])).
% 0.13/0.42 fof(f1787,plain,(
% 0.13/0.42 multiply(identity,sk_c8)=sk_c11|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1701,f130])).
% 0.13/0.42 fof(f1791,plain,(
% 0.13/0.42 sk_c8=sk_c11|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f55,f1787])).
% 0.13/0.42 fof(f1922,plain,(
% 0.13/0.42 multiply(sk_c11,sk_c5)=identity|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1791,f1165])).
% 0.13/0.42 fof(f1923,plain,(
% 0.13/0.42 multiply(sk_c11,identity)=identity|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1701,f1922])).
% 0.13/0.42 fof(f1924,plain,(
% 0.13/0.42 sk_c11=identity|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1632,f1923])).
% 0.13/0.42 fof(f1925,plain,(
% 0.13/0.42 $false|~sQ4_spl|~sQ3_spl|sQ12_spl|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1924,f1785])).
% 0.13/0.42 fof(f1926,plain,(
% 0.13/0.42 ~sQ4_spl|~sQ3_spl|sQ12_spl|~sQ2_spl|~sQ24_spl|~sQ7_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1925])).
% 0.13/0.42 fof(f1953,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c10|~sQ2_spl|~sQ24_spl|~sQ16_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f765,f209])).
% 0.13/0.42 fof(f1954,plain,(
% 0.13/0.42 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c10|~sQ2_spl|~sQ24_spl|~sQ16_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1632,f1953])).
% 0.13/0.42 fof(f1955,plain,(
% 0.13/0.42 ![X0]: (~X0=identity|~inverse(X0)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|~sQ16_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1173,f1954])).
% 0.13/0.42 fof(f1956,plain,(
% 0.13/0.42 ![X0]: (~X0=identity|~inverse(X0)=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|~sQ16_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f765,f1955])).
% 0.13/0.42 fof(f1957,plain,(
% 0.13/0.42 ~inverse(identity)=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|~sQ16_spl),
% 0.13/0.42 inference(destructive_equality_resolution,[status(thm)],[f1956])).
% 0.13/0.42 fof(f1958,plain,(
% 0.13/0.42 $false|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|~sQ16_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1957,f825])).
% 0.13/0.42 fof(f1959,plain,(
% 0.13/0.42 ~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|~sQ16_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1958])).
% 0.13/0.42 fof(f1964,plain,(
% 0.13/0.42 ![X0]: (~inverse(identity)=sk_c11|~inverse(identity)=sk_c11|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ11_spl|~sQ38_spl|~sQ17_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f55,f1664])).
% 0.13/0.42 fof(f1967,plain,(
% 0.13/0.42 ~sQ21_spl|sQ22_spl|~sQ11_spl|~sQ38_spl|~sQ17_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1964,f256,f259,f153,f313,f211])).
% 0.13/0.42 fof(f2028,plain,(
% 0.13/0.42 ~identity=identity|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ21_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1683,f1124])).
% 0.13/0.42 fof(f2029,plain,(
% 0.13/0.42 $false|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ21_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f2028])).
% 0.13/0.42 fof(f2030,plain,(
% 0.13/0.42 ~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ38_spl|~sQ14_spl|sQ21_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f2029])).
% 0.13/0.42 fof(f2031,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f140,f144,f148,f152,f156,f157,f159,f165,f169,f170,f171,f172,f173,f174,f175,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f195,f196,f197,f198,f214,f289,f352,f363,f375,f377,f455,f466,f523,f591,f598,f670,f674,f676,f752,f758,f831,f1116,f1131,f1175,f1478,f1657,f1682,f1688,f1689,f1926,f1959,f1967,f2030])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.072939 seconds
% 0.13/0.44 % CPU time: 0.328859 seconds
% 0.13/0.44 % Total memory used: 109.036 MB
% 0.13/0.44 % Net memory used: 108.788 MB
%------------------------------------------------------------------------------