%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP254-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:20 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 : GRP254-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:10:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c12) = sk_c11| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c12) = sk_c11| inverse(sk_c4) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f8,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c12) = sk_c11| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f9,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c12) = sk_c11| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f14,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c12| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f15,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c12| inverse(sk_c4) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f18,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c12| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f19,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c12| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f24,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c11) = sk_c10| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f25,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c11) = sk_c10| inverse(sk_c4) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f26,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c11) = sk_c10| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f27,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c11) = sk_c10| inverse(sk_c5) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f28,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c11) = sk_c10| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f29,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c11) = sk_c10| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f34,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c11| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f35,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c11| inverse(sk_c4) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f36,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c11| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f37,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c11| inverse(sk_c5) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f38,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c11| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f39,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c11| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f44,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f45,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c4) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f46,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f47,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c5) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f48,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f49,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f50,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c9,sk_c11) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f51,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c8) = sk_c7 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f52,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c7) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f54,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f55,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| inverse(sk_c4) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f56,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f57,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| inverse(sk_c5) = sk_c11 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f58,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f59,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f60,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| multiply(sk_c9,sk_c11) = sk_c12 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f61,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| inverse(sk_c8) = sk_c7 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f62,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c12) = sk_c10| inverse(sk_c7) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f64,negated_conjecture,(
% 0.13/0.42 (![X4,X5,X6,X1,X2,X7,X3,X8,X9]: (( multiply(X4,sk_c12) != sk_c11| inverse(X4) != sk_c12| multiply(X5,sk_c11) != sk_c10| inverse(X5) != sk_c11| inverse(X6) != sk_c10| multiply(X6,sk_c12) != sk_c10| multiply(X1,sk_c12) != sk_c11| inverse(X1) != sk_c12| multiply(X2,sk_c11) != sk_c10| inverse(X2) != sk_c11| multiply(X7,X3) != sk_c12| inverse(X7) != X3| multiply(X3,sk_c11) != sk_c12| inverse(X8) != X9| inverse(X9) != X3| multiply(X8,X3) != X9 ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f65,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(f66,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(f67,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(f68,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f69,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c4)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f72,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.42 fof(f73,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c6)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.42 fof(f78,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.42 fof(f79,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c12|inverse(sk_c4)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.42 fof(f82,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c12|multiply(sk_c6,sk_c9)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.42 fof(f83,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c12|inverse(sk_c6)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.42 fof(f88,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c4,sk_c12)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.42 fof(f89,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c4)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.42 fof(f90,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c5,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.42 fof(f91,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c5)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.42 fof(f92,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c6,sk_c9)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.42 fof(f93,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c6)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.42 fof(f98,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.42 fof(f99,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c11|inverse(sk_c4)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.42 fof(f100,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.42 fof(f101,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c11|inverse(sk_c5)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.42 fof(f102,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.42 fof(f103,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c11|inverse(sk_c6)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.42 fof(f108,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c4,sk_c12)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.42 fof(f109,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c4)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.42 fof(f110,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c5,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.42 fof(f111,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c5)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.42 fof(f112,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c6,sk_c9)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.42 fof(f113,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c6)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.42 fof(f114,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c9,sk_c11)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.42 fof(f115,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c8)=sk_c7),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.42 fof(f116,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c7)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.42 fof(f118,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|multiply(sk_c4,sk_c12)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f54])).
% 0.13/0.42 fof(f119,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|inverse(sk_c4)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.42 fof(f120,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|multiply(sk_c5,sk_c11)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.42 fof(f121,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|inverse(sk_c5)=sk_c11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f57])).
% 0.13/0.42 fof(f122,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|multiply(sk_c6,sk_c9)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f58])).
% 0.13/0.42 fof(f123,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|inverse(sk_c6)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f59])).
% 0.13/0.42 fof(f124,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|multiply(sk_c9,sk_c11)=sk_c12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.42 fof(f125,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|inverse(sk_c8)=sk_c7),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/0.42 fof(f126,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|inverse(sk_c7)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.42 fof(f128,plain,(
% 0.13/0.42 ![X3,X8,X9]: (((((![X7]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c12)=sk_c11|~inverse(X4)=sk_c12))|~multiply(X5,sk_c11)=sk_c10)|~inverse(X5)=sk_c11))|~inverse(X6)=sk_c10)|~multiply(X6,sk_c12)=sk_c10))|~multiply(X1,sk_c12)=sk_c11)|~inverse(X1)=sk_c12))|~multiply(X2,sk_c11)=sk_c10)|~inverse(X2)=sk_c11))|~multiply(X7,X3)=sk_c12)|~inverse(X7)=X3))|~multiply(X3,sk_c11)=sk_c12)|~inverse(X8)=X9)|~inverse(X9)=X3)|~multiply(X8,X3)=X9)),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f64])).
% 0.13/0.42 fof(f129,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~multiply(X0,sk_c12)=sk_c11|~inverse(X0)=sk_c12|~multiply(X1,sk_c11)=sk_c10|~inverse(X1)=sk_c11|~inverse(X2)=sk_c10|~multiply(X2,sk_c12)=sk_c10|~multiply(X3,sk_c12)=sk_c11|~inverse(X3)=sk_c12|~multiply(X4,sk_c11)=sk_c10|~inverse(X4)=sk_c11|~multiply(X5,X6)=sk_c12|~inverse(X5)=X6|~multiply(X6,sk_c11)=sk_c12|~inverse(X7)=X8|~inverse(X8)=X6|~multiply(X7,X6)=X8)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f128])).
% 0.13/0.42 fof(f130,definition,(
% 0.13/0.42 sQ0_spl <=> (multiply(sk_c1,sk_c12)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f131,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c12)=sk_c11|~sQ0_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f130])).
% 0.13/0.42 fof(f133,definition,(
% 0.13/0.42 sQ1_spl <=> (multiply(sk_c4,sk_c12)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f134,plain,(
% 0.13/0.42 multiply(sk_c4,sk_c12)=sk_c11|~sQ1_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.42 fof(f136,plain,(
% 0.13/0.42 sQ0_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f68,f130,f133])).
% 0.13/0.42 fof(f137,definition,(
% 0.13/0.42 sQ2_spl <=> (inverse(sk_c4)=sk_c12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f138,plain,(
% 0.13/0.42 inverse(sk_c4)=sk_c12|~sQ2_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f137])).
% 0.13/0.42 fof(f140,plain,(
% 0.13/0.42 sQ0_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f69,f130,f137])).
% 0.13/0.42 fof(f141,definition,(
% 0.13/0.42 sQ3_spl <=> (multiply(sk_c5,sk_c11)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f142,plain,(
% 0.13/0.42 multiply(sk_c5,sk_c11)=sk_c10|~sQ3_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.42 fof(f145,definition,(
% 0.13/0.42 sQ4_spl <=> (inverse(sk_c5)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f146,plain,(
% 0.13/0.42 inverse(sk_c5)=sk_c11|~sQ4_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.42 fof(f149,definition,(
% 0.13/0.42 sQ5_spl <=> (multiply(sk_c6,sk_c9)=sk_c12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f150,plain,(
% 0.13/0.42 multiply(sk_c6,sk_c9)=sk_c12|~sQ5_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.42 fof(f152,plain,(
% 0.13/0.42 sQ0_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f72,f130,f149])).
% 0.13/0.42 fof(f153,definition,(
% 0.13/0.42 sQ6_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f154,plain,(
% 0.13/0.42 inverse(sk_c6)=sk_c9|~sQ6_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.42 fof(f156,plain,(
% 0.13/0.42 sQ0_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f73,f130,f153])).
% 0.13/0.42 fof(f157,definition,(
% 0.13/0.42 sQ7_spl <=> (multiply(sk_c9,sk_c11)=sk_c12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f158,plain,(
% 0.13/0.42 multiply(sk_c9,sk_c11)=sk_c12|~sQ7_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.42 fof(f161,definition,(
% 0.13/0.42 sQ8_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f162,plain,(
% 0.13/0.42 inverse(sk_c8)=sk_c7|~sQ8_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f161])).
% 0.13/0.42 fof(f165,definition,(
% 0.13/0.42 sQ9_spl <=> (inverse(sk_c7)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f166,plain,(
% 0.13/0.42 inverse(sk_c7)=sk_c9|~sQ9_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f165])).
% 0.13/0.42 fof(f173,definition,(
% 0.13/0.42 sQ11_spl <=> (inverse(sk_c1)=sk_c12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f174,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c12|~sQ11_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f173])).
% 0.13/0.42 fof(f176,plain,(
% 0.13/0.42 sQ11_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f78,f173,f133])).
% 0.13/0.42 fof(f177,plain,(
% 0.13/0.42 sQ11_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f79,f173,f137])).
% 0.13/0.42 fof(f180,plain,(
% 0.13/0.42 sQ11_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f82,f173,f149])).
% 0.13/0.42 fof(f181,plain,(
% 0.13/0.42 sQ11_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f83,f173,f153])).
% 0.13/0.42 fof(f186,definition,(
% 0.13/0.42 sQ12_spl <=> (multiply(sk_c2,sk_c11)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f187,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c11)=sk_c10|~sQ12_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f186])).
% 0.13/0.42 fof(f189,plain,(
% 0.13/0.42 sQ12_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f88,f186,f133])).
% 0.13/0.42 fof(f190,plain,(
% 0.13/0.42 sQ12_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f89,f186,f137])).
% 0.13/0.42 fof(f191,plain,(
% 0.13/0.42 sQ12_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f90,f186,f141])).
% 0.13/0.42 fof(f192,plain,(
% 0.13/0.42 sQ12_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f91,f186,f145])).
% 0.13/0.42 fof(f193,plain,(
% 0.13/0.42 sQ12_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f92,f186,f149])).
% 0.13/0.42 fof(f194,plain,(
% 0.13/0.42 sQ12_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f93,f186,f153])).
% 0.13/0.42 fof(f199,definition,(
% 0.13/0.42 sQ13_spl <=> (inverse(sk_c2)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f200,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c11|~sQ13_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.13/0.42 fof(f202,plain,(
% 0.13/0.42 sQ13_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f98,f199,f133])).
% 0.13/0.42 fof(f203,plain,(
% 0.13/0.42 sQ13_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f99,f199,f137])).
% 0.13/0.42 fof(f204,plain,(
% 0.13/0.42 sQ13_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f100,f199,f141])).
% 0.13/0.42 fof(f205,plain,(
% 0.13/0.42 sQ13_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f101,f199,f145])).
% 0.13/0.42 fof(f206,plain,(
% 0.13/0.42 sQ13_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f102,f199,f149])).
% 0.13/0.42 fof(f207,plain,(
% 0.13/0.42 sQ13_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f103,f199,f153])).
% 0.13/0.42 fof(f212,definition,(
% 0.13/0.42 sQ14_spl <=> (inverse(sk_c3)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f213,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|~sQ14_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f212])).
% 0.13/0.42 fof(f215,plain,(
% 0.13/0.42 sQ14_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f108,f212,f133])).
% 0.13/0.42 fof(f216,plain,(
% 0.13/0.42 sQ14_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f109,f212,f137])).
% 0.13/0.42 fof(f217,plain,(
% 0.13/0.42 sQ14_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f110,f212,f141])).
% 0.13/0.42 fof(f218,plain,(
% 0.13/0.42 sQ14_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f111,f212,f145])).
% 0.13/0.42 fof(f219,plain,(
% 0.13/0.42 sQ14_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f112,f212,f149])).
% 0.13/0.42 fof(f220,plain,(
% 0.13/0.42 sQ14_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f113,f212,f153])).
% 0.13/0.42 fof(f221,plain,(
% 0.13/0.42 sQ14_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f114,f212,f157])).
% 0.13/0.42 fof(f222,plain,(
% 0.13/0.42 sQ14_spl|sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f115,f212,f161])).
% 0.13/0.42 fof(f223,plain,(
% 0.13/0.42 sQ14_spl|sQ9_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f116,f212,f165])).
% 0.13/0.42 fof(f225,definition,(
% 0.13/0.42 sQ15_spl <=> (multiply(sk_c3,sk_c12)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f226,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=sk_c10|~sQ15_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f225])).
% 0.13/0.42 fof(f228,plain,(
% 0.13/0.42 sQ15_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f118,f225,f133])).
% 0.13/0.42 fof(f229,plain,(
% 0.13/0.42 sQ15_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f119,f225,f137])).
% 0.13/0.42 fof(f230,plain,(
% 0.13/0.42 sQ15_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f120,f225,f141])).
% 0.13/0.42 fof(f231,plain,(
% 0.13/0.42 sQ15_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f121,f225,f145])).
% 0.13/0.42 fof(f232,plain,(
% 0.13/0.42 sQ15_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f122,f225,f149])).
% 0.13/0.42 fof(f233,plain,(
% 0.13/0.42 sQ15_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f123,f225,f153])).
% 0.13/0.42 fof(f234,plain,(
% 0.13/0.42 sQ15_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f124,f225,f157])).
% 0.13/0.42 fof(f235,plain,(
% 0.13/0.42 sQ15_spl|sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f125,f225,f161])).
% 0.13/0.42 fof(f236,plain,(
% 0.13/0.42 sQ15_spl|sQ9_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f126,f225,f165])).
% 0.13/0.42 fof(f238,definition,(
% 0.13/0.42 ![X0]: (sQ16_spl <=> (~multiply(X0,sk_c12)=sk_c11|~inverse(X0)=sk_c12))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f239,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c12)=sk_c11|~inverse(X0)=sk_c12|~sQ16_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f238])).
% 0.13/0.42 fof(f241,definition,(
% 0.13/0.42 ![X1]: (sQ17_spl <=> (~multiply(X1,sk_c11)=sk_c10|~inverse(X1)=sk_c11))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f242,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ17_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.42 fof(f244,definition,(
% 0.13/0.42 ![X2]: (sQ18_spl <=> (~inverse(X2)=sk_c10|~multiply(X2,sk_c12)=sk_c10))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f245,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c12)=sk_c10|~sQ18_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f244])).
% 0.13/0.42 fof(f247,definition,(
% 0.13/0.42 ![X5,X6,X7,X8]: (sQ19_spl <=> (~multiply(X5,X6)=sk_c12|~inverse(X5)=X6|~multiply(X6,sk_c11)=sk_c12|~inverse(X7)=X8|~inverse(X8)=X6|~multiply(X7,X6)=X8))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f248,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c12|~inverse(X0)=X1|~multiply(X1,sk_c11)=sk_c12|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~sQ19_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f247])).
% 0.13/0.42 fof(f250,plain,(
% 0.13/0.42 sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f129,f238,f241,f244,f247])).
% 0.13/0.42 fof(f251,plain,(
% 0.13/0.42 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c12|~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ19_spl)),
% 0.13/0.42 inference(destructive_equality_resolution,[status(thm)],[f248])).
% 0.13/0.42 fof(f259,plain,(
% 0.13/0.42 multiply(sk_c12,sk_c4)=identity|~sQ2_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f138,f66])).
% 0.13/0.42 fof(f262,plain,(
% 0.13/0.42 multiply(sk_c7,sk_c8)=identity|~sQ8_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f162,f66])).
% 0.13/0.42 fof(f264,plain,(
% 0.13/0.42 multiply(sk_c12,sk_c1)=identity|~sQ11_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f174,f66])).
% 0.13/0.42 fof(f266,plain,(
% 0.13/0.42 multiply(sk_c10,sk_c3)=identity|~sQ14_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f213,f66])).
% 0.13/0.42 fof(f267,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f66,f67])).
% 0.13/0.42 fof(f268,plain,(
% 0.13/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f267])).
% 0.13/0.42 fof(f279,plain,(
% 0.13/0.42 ![X0]: (~multiply(sk_c4,inverse(sk_c4))=sk_c12|~multiply(sk_c12,sk_c11)=sk_c12|~inverse(inverse(X0))=inverse(sk_c4)|~multiply(X0,inverse(sk_c4))=inverse(X0)|~sQ19_spl|~sQ2_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f138,f251])).
% 0.13/0.42 fof(f286,plain,(
% 0.13/0.42 ![X0]: (~multiply(sk_c3,inverse(sk_c3))=sk_c12|~multiply(sk_c10,sk_c11)=sk_c12|~inverse(inverse(X0))=inverse(sk_c3)|~multiply(X0,inverse(sk_c3))=inverse(X0)|~sQ19_spl|~sQ14_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f213,f251])).
% 0.13/0.42 fof(f297,definition,(
% 0.13/0.42 sQ23_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f299,plain,(
% 0.13/0.42 ~multiply(sk_c4,inverse(sk_c4))=sk_c12|sQ23_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f297])).
% 0.13/0.42 fof(f300,definition,(
% 0.13/0.42 sQ24_spl <=> (multiply(sk_c12,sk_c11)=sk_c12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f302,plain,(
% 0.13/0.42 ~multiply(sk_c12,sk_c11)=sk_c12|sQ24_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f300])).
% 0.13/0.42 fof(f303,definition,(
% 0.13/0.42 ![X0]: (sQ25_spl <=> (~inverse(inverse(X0))=inverse(sk_c4)|~multiply(X0,inverse(sk_c4))=inverse(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f304,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(sk_c4)|~multiply(X0,inverse(sk_c4))=inverse(X0)|~sQ25_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f303])).
% 0.13/0.42 fof(f306,plain,(
% 0.13/0.42 ~sQ23_spl|~sQ24_spl|sQ25_spl|~sQ19_spl|~sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f279,f297,f300,f303,f247,f137])).
% 0.13/0.42 fof(f355,definition,(
% 0.13/0.42 sQ40_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f357,plain,(
% 0.13/0.42 ~multiply(sk_c3,inverse(sk_c3))=sk_c12|sQ40_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f355])).
% 0.13/0.42 fof(f358,definition,(
% 0.13/0.42 sQ41_spl <=> (multiply(sk_c10,sk_c11)=sk_c12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f360,plain,(
% 0.13/0.42 ~multiply(sk_c10,sk_c11)=sk_c12|sQ41_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f358])).
% 0.13/0.42 fof(f361,definition,(
% 0.13/0.42 ![X0]: (sQ42_spl <=> (~inverse(inverse(X0))=inverse(sk_c3)|~multiply(X0,inverse(sk_c3))=inverse(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f362,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(sk_c3)|~multiply(X0,inverse(sk_c3))=inverse(X0)|~sQ42_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f361])).
% 0.13/0.42 fof(f364,plain,(
% 0.13/0.42 ~sQ40_spl|~sQ41_spl|sQ42_spl|~sQ19_spl|~sQ14_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f286,f355,f358,f361,f247,f212])).
% 0.13/0.42 fof(f367,plain,(
% 0.13/0.42 ~multiply(sk_c3,sk_c10)=sk_c12|~sQ14_spl|sQ40_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f213,f357])).
% 0.13/0.42 fof(f376,plain,(
% 0.13/0.42 ~multiply(sk_c3,sk_c12)=sk_c10|~sQ18_spl|~sQ14_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f245,f213])).
% 0.13/0.42 fof(f380,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~sQ15_spl|~sQ18_spl|~sQ14_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f226,f376])).
% 0.13/0.42 fof(f381,plain,(
% 0.13/0.42 $false|~sQ15_spl|~sQ18_spl|~sQ14_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f380])).
% 0.13/0.42 fof(f382,plain,(
% 0.13/0.42 ~sQ15_spl|~sQ18_spl|~sQ14_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f381])).
% 0.13/0.42 fof(f397,plain,(
% 0.13/0.42 ~multiply(sk_c4,sk_c12)=sk_c11|~sQ16_spl|~sQ2_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f239,f138])).
% 0.13/0.42 fof(f403,plain,(
% 0.13/0.42 ~sk_c11=sk_c11|~sQ1_spl|~sQ16_spl|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f134,f397])).
% 0.13/0.42 fof(f404,plain,(
% 0.13/0.42 $false|~sQ1_spl|~sQ16_spl|~sQ2_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f403])).
% 0.13/0.42 fof(f405,plain,(
% 0.13/0.42 ~sQ1_spl|~sQ16_spl|~sQ2_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f404])).
% 0.13/0.42 fof(f416,plain,(
% 0.13/0.42 ~inverse(sk_c5)=sk_c11|~sQ17_spl|~sQ3_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f242,f142])).
% 0.13/0.42 fof(f421,plain,(
% 0.13/0.42 ~sk_c11=sk_c10|~inverse(identity)=sk_c11|~sQ17_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f65,f242])).
% 0.13/0.42 fof(f423,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~inverse(sk_c2)=sk_c11|~sQ17_spl|~sQ12_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f187,f242])).
% 0.13/0.42 fof(f424,plain,(
% 0.13/0.42 ~sk_c11=sk_c11|~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f146,f416])).
% 0.13/0.42 fof(f425,plain,(
% 0.13/0.42 $false|~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f424])).
% 0.13/0.42 fof(f426,plain,(
% 0.13/0.42 ~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f425])).
% 0.13/0.42 fof(f454,plain,(
% 0.13/0.42 sk_c8=multiply(inverse(sk_c7),identity)|~sQ8_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f262,f268])).
% 0.13/0.42 fof(f460,plain,(
% 0.13/0.42 sk_c12=multiply(inverse(sk_c4),sk_c11)|~sQ1_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f134,f268])).
% 0.13/0.42 fof(f461,plain,(
% 0.13/0.42 sk_c11=multiply(inverse(sk_c5),sk_c10)|~sQ3_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f142,f268])).
% 0.13/0.42 fof(f462,plain,(
% 0.13/0.42 sk_c9=multiply(inverse(sk_c6),sk_c12)|~sQ5_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f150,f268])).
% 0.13/0.42 fof(f474,plain,(
% 0.13/0.42 sk_c8=multiply(sk_c9,identity)|~sQ9_spl|~sQ8_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f166,f454])).
% 0.13/0.42 fof(f475,plain,(
% 0.13/0.42 sk_c12=multiply(sk_c12,sk_c11)|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f138,f460])).
% 0.13/0.42 fof(f476,plain,(
% 0.13/0.42 $false|sQ24_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f475,f302])).
% 0.13/0.42 fof(f477,plain,(
% 0.13/0.42 sQ24_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f476])).
% 0.13/0.42 fof(f478,plain,(
% 0.13/0.42 sk_c11=multiply(sk_c11,sk_c10)|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f146,f461])).
% 0.13/0.42 fof(f479,plain,(
% 0.13/0.42 sk_c9=multiply(sk_c9,sk_c12)|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f154,f462])).
% 0.13/0.42 fof(f500,plain,(
% 0.13/0.42 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f478,f268])).
% 0.13/0.42 fof(f503,plain,(
% 0.13/0.42 sk_c10=identity|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f66,f500])).
% 0.13/0.42 fof(f517,plain,(
% 0.13/0.42 sk_c12=multiply(inverse(sk_c9),sk_c9)|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f479,f268])).
% 0.13/0.42 fof(f520,plain,(
% 0.13/0.42 sk_c12=identity|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f66,f517])).
% 0.13/0.42 fof(f521,plain,(
% 0.13/0.42 sk_c9=multiply(sk_c9,identity)|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f520,f479])).
% 0.13/0.42 fof(f524,plain,(
% 0.13/0.42 multiply(identity,sk_c4)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f520,f259])).
% 0.13/0.42 fof(f526,plain,(
% 0.13/0.42 multiply(sk_c9,sk_c11)=identity|~sQ6_spl|~sQ5_spl|~sQ7_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f520,f158])).
% 0.13/0.42 fof(f529,plain,(
% 0.13/0.42 inverse(sk_c4)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f520,f138])).
% 0.13/0.42 fof(f531,plain,(
% 0.13/0.42 multiply(sk_c6,sk_c9)=identity|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f520,f150])).
% 0.13/0.42 fof(f533,plain,(
% 0.13/0.42 sk_c9=sk_c8|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f474,f521])).
% 0.13/0.42 fof(f536,plain,(
% 0.13/0.42 sk_c4=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f524])).
% 0.13/0.42 fof(f542,plain,(
% 0.13/0.42 inverse(sk_c6)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f533,f154])).
% 0.13/0.42 fof(f544,plain,(
% 0.13/0.42 inverse(identity)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f536,f529])).
% 0.13/0.42 fof(f578,definition,(
% 0.13/0.42 sQ46_spl <=> (identity=identity)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f580,plain,(
% 0.13/0.42 ~identity=identity|sQ46_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f578])).
% 0.13/0.42 fof(f593,definition,(
% 0.13/0.42 sQ50_spl <=> (multiply(identity,inverse(identity))=identity)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f594,plain,(
% 0.13/0.42 multiply(identity,inverse(identity))=identity|~sQ50_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f593])).
% 0.13/0.42 fof(f595,plain,(
% 0.13/0.42 ~multiply(identity,inverse(identity))=identity|sQ50_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f593])).
% 0.13/0.42 fof(f596,definition,(
% 0.13/0.42 sQ51_spl <=> (multiply(identity,sk_c11)=identity)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f597,plain,(
% 0.13/0.42 multiply(identity,sk_c11)=identity|~sQ51_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f596])).
% 0.13/0.42 fof(f598,plain,(
% 0.13/0.42 ~multiply(identity,sk_c11)=identity|sQ51_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f596])).
% 0.13/0.42 fof(f624,plain,(
% 0.13/0.42 ~sk_c11=identity|sQ51_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f598])).
% 0.13/0.42 fof(f625,plain,(
% 0.13/0.42 ~inverse(identity)=identity|sQ50_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f595])).
% 0.13/0.42 fof(f626,plain,(
% 0.13/0.42 ~identity=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ50_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f544,f625])).
% 0.13/0.42 fof(f627,plain,(
% 0.13/0.42 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ50_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f626])).
% 0.13/0.42 fof(f628,plain,(
% 0.13/0.42 ~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ50_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f627])).
% 0.13/0.42 fof(f635,plain,(
% 0.13/0.42 inverse(identity)=identity|~sQ50_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f594])).
% 0.13/0.42 fof(f642,plain,(
% 0.13/0.42 identity=multiply(sk_c12,sk_c11)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f520,f475])).
% 0.13/0.42 fof(f643,plain,(
% 0.13/0.42 identity=multiply(identity,sk_c11)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f520,f642])).
% 0.13/0.42 fof(f644,plain,(
% 0.13/0.42 identity=sk_c11|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f643])).
% 0.13/0.42 fof(f658,plain,(
% 0.13/0.42 ~identity=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|sQ51_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f644,f624])).
% 0.13/0.42 fof(f659,plain,(
% 0.13/0.42 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|sQ51_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f658])).
% 0.13/0.42 fof(f660,plain,(
% 0.13/0.42 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|sQ51_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f659])).
% 0.13/0.42 fof(f661,plain,(
% 0.13/0.42 sk_c11=identity|~sQ51_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f597])).
% 0.13/0.42 fof(f662,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c12)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ18_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f503,f245])).
% 0.13/0.42 fof(f663,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ18_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f520,f662])).
% 0.13/0.42 fof(f664,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ18_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f503,f663])).
% 0.13/0.42 fof(f665,plain,(
% 0.13/0.42 multiply(sk_c8,sk_c11)=identity|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f533,f526])).
% 0.13/0.42 fof(f666,plain,(
% 0.13/0.42 multiply(sk_c8,identity)=identity|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f644,f665])).
% 0.13/0.42 fof(f668,plain,(
% 0.13/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(identity,X0))|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f666,f67])).
% 0.13/0.42 fof(f670,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c8,multiply(identity,X0))|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f668])).
% 0.13/0.42 fof(f671,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c8,X0)|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f670])).
% 0.13/0.42 fof(f676,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f671,f268])).
% 0.13/0.42 fof(f678,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c7,X0)|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f162,f676])).
% 0.13/0.42 fof(f680,plain,(
% 0.13/0.42 sk_c8=identity|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f678,f262])).
% 0.13/0.42 fof(f689,plain,(
% 0.13/0.42 inverse(sk_c6)=identity|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f680,f542])).
% 0.13/0.42 fof(f690,plain,(
% 0.13/0.42 sk_c9=identity|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f680,f533])).
% 0.13/0.42 fof(f691,plain,(
% 0.13/0.42 multiply(sk_c6,identity)=identity|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f690,f531])).
% 0.13/0.42 fof(f708,plain,(
% 0.13/0.42 ~multiply(sk_c6,identity)=identity|~sQ4_spl|~sQ3_spl|~sQ18_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f664,f689])).
% 0.13/0.42 fof(f712,plain,(
% 0.13/0.42 ~identity=identity|~sQ4_spl|~sQ3_spl|~sQ18_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f691,f708])).
% 0.13/0.42 fof(f713,plain,(
% 0.13/0.42 $false|~sQ4_spl|~sQ3_spl|~sQ18_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f712])).
% 0.13/0.42 fof(f714,plain,(
% 0.13/0.42 ~sQ4_spl|~sQ3_spl|~sQ18_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f713])).
% 0.13/0.42 fof(f770,plain,(
% 0.13/0.42 ~multiply(identity,inverse(sk_c4))=sk_c12|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f536,f299])).
% 0.13/0.42 fof(f771,plain,(
% 0.13/0.42 ~inverse(sk_c4)=sk_c12|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f770])).
% 0.13/0.42 fof(f772,plain,(
% 0.13/0.42 ~inverse(identity)=sk_c12|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f536,f771])).
% 0.13/0.42 fof(f773,plain,(
% 0.13/0.42 ~identity=sk_c12|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f544,f772])).
% 0.13/0.42 fof(f774,plain,(
% 0.13/0.42 ~identity=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f520,f773])).
% 0.13/0.42 fof(f775,plain,(
% 0.13/0.42 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f774])).
% 0.13/0.42 fof(f776,plain,(
% 0.13/0.42 ~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f775])).
% 0.13/0.42 fof(f899,definition,(
% 0.13/0.42 sQ60_spl <=> (sk_c11=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f902,definition,(
% 0.13/0.42 sQ61_spl <=> (inverse(identity)=sk_c11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f904,plain,(
% 0.13/0.42 ~inverse(identity)=sk_c11|sQ61_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f902])).
% 0.13/0.42 fof(f905,plain,(
% 0.13/0.42 ~sQ60_spl|~sQ61_spl|~sQ17_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f421,f899,f902,f241])).
% 0.13/0.42 fof(f906,definition,(
% 0.13/0.42 sQ62_spl <=> (sk_c10=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f908,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|sQ62_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f906])).
% 0.13/0.42 fof(f909,plain,(
% 0.13/0.42 ~sQ62_spl|~sQ13_spl|~sQ17_spl|~sQ12_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f423,f906,f199,f241,f186])).
% 0.13/0.42 fof(f910,plain,(
% 0.13/0.42 $false|sQ62_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f908])).
% 0.13/0.42 fof(f911,plain,(
% 0.13/0.42 sQ62_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f910])).
% 0.13/0.42 fof(f922,plain,(
% 0.13/0.42 sk_c11=multiply(inverse(sk_c2),sk_c10)|~sQ12_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f187,f268])).
% 0.13/0.42 fof(f924,plain,(
% 0.13/0.42 sk_c11=multiply(sk_c11,sk_c10)|~sQ13_spl|~sQ12_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f200,f922])).
% 0.13/0.42 fof(f966,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=sk_c10|~multiply(X0,inverse(sk_c3))=inverse(X0)|~sQ14_spl|~sQ42_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f213,f362])).
% 0.13/0.42 fof(f967,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)],[f213,f966])).
% 0.13/0.42 fof(f968,plain,(
% 0.13/0.42 ~inverse(sk_c10)=sk_c10|~multiply(sk_c3,sk_c10)=inverse(sk_c3)|~sQ42_spl|~sQ14_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f213,f967])).
% 0.13/0.42 fof(f971,definition,(
% 0.13/0.42 sQ64_spl <=> (inverse(sk_c10)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f973,plain,(
% 0.13/0.42 ~inverse(sk_c10)=sk_c10|sQ64_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f971])).
% 0.13/0.42 fof(f974,definition,(
% 0.13/0.42 sQ65_spl <=> (multiply(sk_c3,sk_c10)=inverse(sk_c3))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f976,plain,(
% 0.13/0.42 ~multiply(sk_c3,sk_c10)=inverse(sk_c3)|sQ65_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f974])).
% 0.13/0.42 fof(f977,plain,(
% 0.13/0.42 ~sQ64_spl|~sQ65_spl|~sQ42_spl|~sQ14_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f968,f971,f974,f361,f212])).
% 0.13/0.42 fof(f994,plain,(
% 0.13/0.42 ~multiply(sk_c3,sk_c10)=sk_c10|~sQ14_spl|sQ65_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f213,f976])).
% 0.13/0.42 fof(f995,plain,(
% 0.13/0.42 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ13_spl|~sQ12_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f924,f268])).
% 0.13/0.42 fof(f997,plain,(
% 0.13/0.42 sk_c10=identity|~sQ13_spl|~sQ12_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f66,f995])).
% 0.13/0.42 fof(f1001,plain,(
% 0.13/0.42 ~inverse(sk_c10)=identity|~sQ13_spl|~sQ12_spl|sQ64_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f997,f973])).
% 0.13/0.42 fof(f1004,plain,(
% 0.13/0.42 ~multiply(sk_c3,identity)=sk_c12|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ40_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f997,f367])).
% 0.13/0.42 fof(f1005,plain,(
% 0.13/0.42 multiply(identity,sk_c3)=identity|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f997,f266])).
% 0.13/0.42 fof(f1006,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c12)=identity|~sQ13_spl|~sQ12_spl|~sQ15_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f997,f226])).
% 0.13/0.42 fof(f1008,plain,(
% 0.13/0.42 inverse(sk_c3)=identity|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f997,f213])).
% 0.13/0.42 fof(f1011,plain,(
% 0.13/0.42 ~inverse(identity)=identity|~sQ13_spl|~sQ12_spl|sQ64_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f997,f1001])).
% 0.13/0.42 fof(f1012,plain,(
% 0.13/0.42 sk_c3=identity|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1005])).
% 0.13/0.42 fof(f1013,plain,(
% 0.13/0.42 multiply(identity,sk_c12)=identity|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1012,f1006])).
% 0.13/0.42 fof(f1014,plain,(
% 0.13/0.42 sk_c12=identity|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1013])).
% 0.13/0.42 fof(f1026,plain,(
% 0.13/0.42 inverse(identity)=identity|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1012,f1008])).
% 0.13/0.42 fof(f1042,plain,(
% 0.13/0.42 multiply(identity,sk_c1)=identity|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ11_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1014,f264])).
% 0.13/0.42 fof(f1048,plain,(
% 0.13/0.42 multiply(sk_c1,identity)=sk_c11|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ0_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1014,f131])).
% 0.13/0.42 fof(f1052,plain,(
% 0.13/0.42 sk_c1=identity|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1042])).
% 0.13/0.42 fof(f1053,plain,(
% 0.13/0.42 ~identity=identity|~sQ14_spl|~sQ13_spl|~sQ12_spl|sQ64_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1026,f1011])).
% 0.13/0.42 fof(f1054,plain,(
% 0.13/0.42 $false|~sQ14_spl|~sQ13_spl|~sQ12_spl|sQ64_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1053])).
% 0.13/0.42 fof(f1055,plain,(
% 0.13/0.42 ~sQ14_spl|~sQ13_spl|~sQ12_spl|sQ64_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1054])).
% 0.13/0.42 fof(f1080,plain,(
% 0.13/0.42 ~identity=identity|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ50_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1026,f625])).
% 0.13/0.42 fof(f1081,plain,(
% 0.13/0.42 $false|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ50_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1080])).
% 0.13/0.42 fof(f1082,plain,(
% 0.13/0.42 ~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ50_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1081])).
% 0.13/0.42 fof(f1098,plain,(
% 0.13/0.42 ~multiply(identity,sk_c10)=sk_c10|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ65_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1012,f994])).
% 0.13/0.42 fof(f1099,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ65_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1098])).
% 0.13/0.42 fof(f1100,plain,(
% 0.13/0.42 ~identity=sk_c10|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ65_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f997,f1099])).
% 0.13/0.42 fof(f1101,plain,(
% 0.13/0.42 ~identity=identity|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ65_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f997,f1100])).
% 0.13/0.42 fof(f1102,plain,(
% 0.13/0.42 $false|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ65_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1101])).
% 0.13/0.42 fof(f1103,plain,(
% 0.13/0.42 ~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ65_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1102])).
% 0.13/0.42 fof(f1110,plain,(
% 0.13/0.42 ~multiply(identity,identity)=sk_c12|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ40_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1012,f1004])).
% 0.13/0.42 fof(f1111,plain,(
% 0.13/0.42 ~identity=sk_c12|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ40_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1110])).
% 0.13/0.42 fof(f1112,plain,(
% 0.13/0.42 ~identity=identity|~sQ15_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ40_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1014,f1111])).
% 0.13/0.42 fof(f1113,plain,(
% 0.13/0.42 $false|~sQ15_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ40_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1112])).
% 0.13/0.42 fof(f1114,plain,(
% 0.13/0.42 ~sQ15_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl|sQ40_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1113])).
% 0.13/0.42 fof(f1119,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,identity)=sk_c11|~inverse(X0)=sk_c12|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ16_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1014,f239])).
% 0.13/0.42 fof(f1120,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,identity)=sk_c11|~inverse(X0)=identity|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ16_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1014,f1119])).
% 0.13/0.42 fof(f1123,plain,(
% 0.13/0.42 multiply(identity,identity)=sk_c11|~sQ11_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1052,f1048])).
% 0.13/0.42 fof(f1124,plain,(
% 0.13/0.42 identity=sk_c11|~sQ11_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1123])).
% 0.13/0.42 fof(f1142,definition,(
% 0.13/0.42 sQ74_spl <=> (sk_c11=identity)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f1144,plain,(
% 0.13/0.42 ~sk_c11=identity|sQ74_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1142])).
% 0.13/0.42 fof(f1147,plain,(
% 0.13/0.42 $false|sQ46_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f580])).
% 0.13/0.42 fof(f1148,plain,(
% 0.13/0.42 sQ46_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1147])).
% 0.13/0.42 fof(f1149,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ16_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1124,f1120])).
% 0.13/0.42 fof(f1183,plain,(
% 0.13/0.42 ~identity=identity|~sQ11_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ0_spl|sQ51_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1124,f624])).
% 0.13/0.42 fof(f1184,plain,(
% 0.13/0.42 $false|~sQ11_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ0_spl|sQ51_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1183])).
% 0.13/0.42 fof(f1185,plain,(
% 0.13/0.42 ~sQ11_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ15_spl|~sQ0_spl|sQ51_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1184])).
% 0.13/0.42 fof(f1204,plain,(
% 0.13/0.42 ~multiply(identity,identity)=identity|~sQ11_spl|~sQ0_spl|~sQ15_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f1149,f1026])).
% 0.13/0.42 fof(f1206,plain,(
% 0.13/0.42 ~identity=identity|~sQ11_spl|~sQ0_spl|~sQ15_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1204])).
% 0.13/0.42 fof(f1207,plain,(
% 0.13/0.42 $false|~sQ11_spl|~sQ0_spl|~sQ15_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1206])).
% 0.13/0.42 fof(f1208,plain,(
% 0.13/0.42 ~sQ11_spl|~sQ0_spl|~sQ15_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1207])).
% 0.13/0.42 fof(f1216,plain,(
% 0.13/0.42 ~multiply(identity,sk_c11)=sk_c12|~sQ13_spl|~sQ12_spl|sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f997,f360])).
% 0.13/0.42 fof(f1217,plain,(
% 0.13/0.42 ~sk_c11=sk_c12|~sQ13_spl|~sQ12_spl|sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1216])).
% 0.13/0.42 fof(f1218,plain,(
% 0.13/0.42 ~identity=sk_c12|~sQ11_spl|~sQ14_spl|~sQ15_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1124,f1217])).
% 0.13/0.42 fof(f1219,plain,(
% 0.13/0.42 ~identity=identity|~sQ11_spl|~sQ14_spl|~sQ15_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1014,f1218])).
% 0.13/0.42 fof(f1220,plain,(
% 0.13/0.42 $false|~sQ11_spl|~sQ14_spl|~sQ15_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ41_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1219])).
% 0.13/0.42 fof(f1221,plain,(
% 0.13/0.42 ~sQ11_spl|~sQ14_spl|~sQ15_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ41_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1220])).
% 0.13/0.42 fof(f1258,plain,(
% 0.13/0.42 ~identity=identity|~sQ51_spl|sQ74_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f661,f1144])).
% 0.13/0.42 fof(f1259,plain,(
% 0.13/0.42 $false|~sQ51_spl|sQ74_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1258])).
% 0.13/0.42 fof(f1260,plain,(
% 0.13/0.42 ~sQ51_spl|sQ74_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1259])).
% 0.13/0.42 fof(f1273,plain,(
% 0.13/0.42 ~identity=sk_c11|~sQ50_spl|sQ61_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f635,f904])).
% 0.13/0.42 fof(f1274,plain,(
% 0.13/0.42 ~identity=identity|~sQ51_spl|~sQ50_spl|sQ61_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f661,f1273])).
% 0.13/0.42 fof(f1275,plain,(
% 0.13/0.42 $false|~sQ51_spl|~sQ50_spl|sQ61_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1274])).
% 0.13/0.42 fof(f1276,plain,(
% 0.13/0.42 ~sQ51_spl|~sQ50_spl|sQ61_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1275])).
% 0.13/0.42 fof(f1446,definition,(
% 0.13/0.42 sQ75_spl <=> (inverse(identity)=identity)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f1448,plain,(
% 0.13/0.42 ~inverse(identity)=identity|sQ75_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1446])).
% 0.13/0.42 fof(f1449,definition,(
% 0.13/0.42 sQ76_spl <=> (multiply(identity,identity)=inverse(identity))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f1451,plain,(
% 0.13/0.42 ~multiply(identity,identity)=inverse(identity)|sQ76_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1449])).
% 0.13/0.42 fof(f1453,plain,(
% 0.13/0.42 ~identity=identity|~sQ50_spl|sQ75_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f635,f1448])).
% 0.13/0.42 fof(f1454,plain,(
% 0.13/0.42 $false|~sQ50_spl|sQ75_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1453])).
% 0.13/0.42 fof(f1455,plain,(
% 0.13/0.42 ~sQ50_spl|sQ75_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1454])).
% 0.13/0.42 fof(f1456,plain,(
% 0.13/0.42 ~identity=inverse(identity)|sQ76_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f1451])).
% 0.13/0.42 fof(f1457,plain,(
% 0.13/0.42 ~identity=identity|~sQ50_spl|sQ76_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f635,f1456])).
% 0.13/0.42 fof(f1458,plain,(
% 0.13/0.42 $false|~sQ50_spl|sQ76_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1457])).
% 0.13/0.42 fof(f1459,plain,(
% 0.13/0.42 ~sQ50_spl|sQ76_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1458])).
% 0.13/0.42 fof(f1538,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(sk_c4))=inverse(X0)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ25_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f536,f304])).
% 0.13/0.42 fof(f1539,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=identity|~multiply(X0,inverse(sk_c4))=inverse(X0)|~sQ50_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ25_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f635,f1538])).
% 0.13/0.42 fof(f1540,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=identity|~multiply(X0,inverse(identity))=inverse(X0)|~sQ50_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ25_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f536,f1539])).
% 0.13/0.42 fof(f1541,plain,(
% 0.13/0.42 ![X0]: (~inverse(inverse(X0))=identity|~multiply(X0,identity)=inverse(X0)|~sQ50_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ25_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f635,f1540])).
% 0.13/0.42 fof(f1542,plain,(
% 0.13/0.42 ~inverse(identity)=identity|~multiply(identity,identity)=inverse(identity)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ25_spl|~sQ50_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f635,f1541])).
% 0.13/0.42 fof(f1543,plain,(
% 0.13/0.42 ~sQ75_spl|~sQ76_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ25_spl|~sQ50_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1542,f1446,f1449,f153,f149,f137,f303,f593])).
% 0.13/0.42 fof(f1544,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f136,f140,f152,f156,f176,f177,f180,f181,f189,f190,f191,f192,f193,f194,f202,f203,f204,f205,f206,f207,f215,f216,f217,f218,f219,f220,f221,f222,f223,f228,f229,f230,f231,f232,f233,f234,f235,f236,f250,f306,f364,f382,f405,f426,f477,f628,f660,f714,f776,f905,f909,f911,f977,f1055,f1082,f1103,f1114,f1148,f1185,f1208,f1221,f1260,f1276,f1455,f1459,f1543])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.066775 seconds
% 0.13/0.44 % CPU time: 0.289208 seconds
% 0.13/0.44 % Total memory used: 107.759 MB
% 0.13/0.44 % Net memory used: 107.610 MB
%------------------------------------------------------------------------------