%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP319-1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:26 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP319-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:11:14 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f10,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f18,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f25,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f26,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f29,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f35,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f36,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f37,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f38,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f39,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f40,negated_conjecture,(
% 0.12/0.39 (![X4,X5,X6,X1,X2,X3]: (( multiply(sk_c8,sk_c9) != sk_c7| multiply(X4,sk_c8) != sk_c9| inverse(X4) != sk_c8| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| inverse(X3) != sk_c7| multiply(X3,sk_c9) != sk_c7 ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f42,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f43,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f50,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f56,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.39 fof(f61,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f62,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f64,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f67,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f71,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.39 fof(f72,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f73,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f75,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.39 fof(f77,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.39 fof(f79,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/0.39 fof(f80,plain,(
% 0.12/0.39 ![X3]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X4,sk_c8)=sk_c9)|~inverse(X4)=sk_c8))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~inverse(X3)=sk_c7)|~multiply(X3,sk_c9)=sk_c7)),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f40])).
% 0.12/0.39 fof(f81,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(X5)=sk_c7|~multiply(X5,sk_c9)=sk_c7)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f80])).
% 0.12/0.39 fof(f82,definition,(
% 0.12/0.39 sQ0_spl <=> (multiply(sk_c8,sk_c9)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f83,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c9)=sk_c7|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f82])).
% 0.12/0.39 fof(f84,plain,(
% 0.12/0.39 ~multiply(sk_c8,sk_c9)=sk_c7|sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f82])).
% 0.12/0.39 fof(f85,definition,(
% 0.12/0.39 sQ1_spl <=> (multiply(sk_c4,sk_c9)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c9)=sk_c8|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.39 fof(f88,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.12/0.39 fof(f89,definition,(
% 0.12/0.39 sQ2_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f90,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c9|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.12/0.39 fof(f92,plain,(
% 0.12/0.39 sQ0_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.12/0.39 fof(f93,definition,(
% 0.12/0.39 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 multiply(sk_c5,sk_c8)=sk_c7|~sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 sQ0_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.12/0.39 fof(f97,definition,(
% 0.12/0.39 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 sQ0_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.12/0.39 fof(f101,definition,(
% 0.12/0.39 sQ5_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f102,plain,(
% 0.12/0.39 inverse(sk_c6)=sk_c7|~sQ5_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.39 fof(f104,plain,(
% 0.12/0.39 sQ0_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.12/0.39 fof(f105,definition,(
% 0.12/0.39 sQ6_spl <=> (multiply(sk_c6,sk_c9)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c9)=sk_c7|~sQ6_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.12/0.39 fof(f108,plain,(
% 0.12/0.39 sQ0_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.12/0.39 fof(f109,definition,(
% 0.12/0.39 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f110,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c8)=sk_c9|~sQ7_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 sQ7_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 sQ7_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.12/0.39 fof(f115,plain,(
% 0.12/0.39 sQ7_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 sQ7_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.12/0.39 fof(f117,plain,(
% 0.12/0.39 sQ7_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.12/0.39 fof(f118,definition,(
% 0.12/0.39 sQ8_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f119,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|~sQ8_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f118])).
% 0.12/0.39 fof(f121,plain,(
% 0.12/0.39 sQ8_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.12/0.39 fof(f122,plain,(
% 0.12/0.39 sQ8_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.12/0.39 fof(f123,plain,(
% 0.12/0.39 sQ8_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 sQ8_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.12/0.39 fof(f125,plain,(
% 0.12/0.39 sQ8_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.12/0.39 fof(f126,plain,(
% 0.12/0.39 sQ8_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.12/0.39 fof(f127,definition,(
% 0.12/0.39 sQ9_spl <=> (multiply(sk_c9,sk_c3)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f128,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c3)=sk_c8|~sQ9_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f127])).
% 0.12/0.39 fof(f130,plain,(
% 0.12/0.39 sQ9_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.12/0.39 fof(f131,plain,(
% 0.12/0.39 sQ9_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.12/0.39 fof(f132,plain,(
% 0.12/0.39 sQ9_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.12/0.39 fof(f133,plain,(
% 0.12/0.39 sQ9_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.12/0.39 fof(f134,plain,(
% 0.12/0.39 sQ9_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.12/0.39 fof(f135,plain,(
% 0.12/0.39 sQ9_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.12/0.39 fof(f136,definition,(
% 0.12/0.39 sQ10_spl <=> (multiply(sk_c2,sk_c9)=sk_c3)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f137,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c9)=sk_c3|~sQ10_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.39 fof(f139,plain,(
% 0.12/0.39 sQ10_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.12/0.39 fof(f140,plain,(
% 0.12/0.39 sQ10_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.12/0.39 fof(f141,plain,(
% 0.12/0.39 sQ10_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.12/0.39 fof(f142,plain,(
% 0.12/0.39 sQ10_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.12/0.39 fof(f143,plain,(
% 0.12/0.39 sQ10_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.12/0.39 fof(f144,plain,(
% 0.12/0.39 sQ10_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.12/0.39 fof(f145,definition,(
% 0.12/0.39 sQ11_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c9|~sQ11_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f145])).
% 0.12/0.39 fof(f148,plain,(
% 0.12/0.39 sQ11_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.12/0.39 fof(f149,plain,(
% 0.12/0.39 sQ11_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.12/0.39 fof(f150,plain,(
% 0.12/0.39 sQ11_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.12/0.39 fof(f151,plain,(
% 0.12/0.39 sQ11_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.12/0.39 fof(f152,plain,(
% 0.12/0.39 sQ11_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.12/0.39 fof(f153,plain,(
% 0.12/0.39 sQ11_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.12/0.39 fof(f154,definition,(
% 0.12/0.39 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f155,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f154])).
% 0.12/0.39 fof(f157,definition,(
% 0.12/0.39 ![X1,X2]: (sQ13_spl <=> (~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f158,plain,(
% 0.12/0.39 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ13_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f157])).
% 0.12/0.39 fof(f160,definition,(
% 0.12/0.39 ![X3]: (sQ14_spl <=> (~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f161,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f160])).
% 0.12/0.39 fof(f163,definition,(
% 0.12/0.39 ![X4]: (sQ15_spl <=> (~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f164,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f163])).
% 0.12/0.39 fof(f166,definition,(
% 0.12/0.39 ![X5]: (sQ16_spl <=> (~inverse(X5)=sk_c7|~multiply(X5,sk_c9)=sk_c7))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f167,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c9)=sk_c7|~sQ16_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f166])).
% 0.12/0.39 fof(f169,plain,(
% 0.12/0.39 ~sQ0_spl|sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f160,f163,f166])).
% 0.12/0.39 fof(f170,plain,(
% 0.12/0.39 ~inverse(sk_c6)=sk_c7|~sQ16_spl|~sQ6_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f167,f106])).
% 0.12/0.39 fof(f173,plain,(
% 0.12/0.39 ~inverse(sk_c2)=sk_c7|~sk_c3=sk_c7|~sQ16_spl|~sQ10_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f137,f167])).
% 0.12/0.39 fof(f174,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|~sQ5_spl|~sQ16_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f102,f170])).
% 0.12/0.39 fof(f175,plain,(
% 0.12/0.39 $false|~sQ5_spl|~sQ16_spl|~sQ6_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f174])).
% 0.12/0.39 fof(f176,plain,(
% 0.12/0.39 ~sQ5_spl|~sQ16_spl|~sQ6_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f175])).
% 0.12/0.39 fof(f177,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ13_spl)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f158])).
% 0.12/0.39 fof(f178,plain,(
% 0.12/0.39 ~inverse(sk_c5)=sk_c8|~sQ15_spl|~sQ3_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f164,f94])).
% 0.12/0.39 fof(f180,plain,(
% 0.12/0.39 ~sk_c9=sk_c7|~inverse(sk_c1)=sk_c8|~sQ15_spl|~sQ7_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f110,f164])).
% 0.12/0.39 fof(f181,plain,(
% 0.12/0.39 ~sk_c8=sk_c8|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f98,f178])).
% 0.12/0.39 fof(f182,plain,(
% 0.12/0.39 $false|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f181])).
% 0.12/0.39 fof(f183,plain,(
% 0.12/0.39 ~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f182])).
% 0.12/0.39 fof(f194,plain,(
% 0.12/0.39 ~inverse(sk_c4)=sk_c9|~sQ14_spl|~sQ1_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f161,f86])).
% 0.12/0.39 fof(f196,plain,(
% 0.12/0.39 ~sk_c7=sk_c8|~inverse(sk_c8)=sk_c9|~sQ14_spl|~sQ0_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f83,f161])).
% 0.12/0.39 fof(f200,plain,(
% 0.12/0.39 ~sk_c9=sk_c9|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f90,f194])).
% 0.12/0.39 fof(f201,plain,(
% 0.12/0.39 $false|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f200])).
% 0.12/0.39 fof(f202,plain,(
% 0.12/0.39 ~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f201])).
% 0.12/0.39 fof(f205,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c2)=identity|~sQ11_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f146,f42])).
% 0.12/0.39 fof(f206,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.12/0.39 fof(f207,plain,(
% 0.12/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f41,f206])).
% 0.12/0.39 fof(f216,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f41,f207])).
% 0.12/0.39 fof(f223,plain,(
% 0.12/0.39 sk_c8=multiply(inverse(sk_c1),sk_c9)|~sQ7_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f110,f207])).
% 0.12/0.39 fof(f226,plain,(
% 0.12/0.39 sk_c9=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f137,f207])).
% 0.12/0.39 fof(f228,plain,(
% 0.12/0.39 sk_c8=multiply(sk_c8,sk_c9)|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f119,f223])).
% 0.12/0.39 fof(f229,plain,(
% 0.12/0.39 sk_c8=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f83,f228])).
% 0.12/0.39 fof(f230,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c9,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f146,f226])).
% 0.12/0.39 fof(f234,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c9)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f229,f83])).
% 0.12/0.39 fof(f236,plain,(
% 0.12/0.39 multiply(sk_c5,sk_c7)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ3_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f229,f94])).
% 0.12/0.39 fof(f237,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c7)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f229,f110])).
% 0.12/0.39 fof(f238,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c3)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f229,f128])).
% 0.12/0.39 fof(f239,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f229,f119])).
% 0.12/0.39 fof(f241,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c1)=identity|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f239,f42])).
% 0.12/0.39 fof(f248,plain,(
% 0.12/0.39 sk_c3=multiply(inverse(sk_c9),sk_c9)|~sQ11_spl|~sQ10_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f230,f207])).
% 0.12/0.39 fof(f250,plain,(
% 0.12/0.39 sk_c3=identity|~sQ11_spl|~sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f42,f248])).
% 0.12/0.39 fof(f252,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c2)=sk_c3|~sQ10_spl|~sQ11_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f250,f205])).
% 0.12/0.39 fof(f253,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ11_spl|~sQ10_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f250,f42])).
% 0.12/0.39 fof(f263,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c7|~inverse(X0)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f229,f177])).
% 0.12/0.39 fof(f267,plain,(
% 0.12/0.39 ~multiply(sk_c9,sk_c7)=sk_c7|~inverse(sk_c6)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f106,f263])).
% 0.12/0.39 fof(f268,plain,(
% 0.12/0.39 ~multiply(sk_c9,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl|~sQ10_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f137,f263])).
% 0.12/0.39 fof(f269,definition,(
% 0.12/0.39 sQ17_spl <=> (multiply(sk_c9,sk_c7)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f283,definition,(
% 0.12/0.39 sQ21_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f285,plain,(
% 0.12/0.39 ~inverse(sk_c6)=sk_c9|sQ21_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f283])).
% 0.12/0.39 fof(f286,plain,(
% 0.12/0.39 ~sQ17_spl|~sQ21_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl|~sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f267,f269,f283,f82,f118,f109,f157,f105])).
% 0.12/0.39 fof(f287,definition,(
% 0.12/0.39 sQ22_spl <=> (multiply(sk_c9,sk_c3)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f289,plain,(
% 0.12/0.39 ~multiply(sk_c9,sk_c3)=sk_c7|sQ22_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f287])).
% 0.12/0.39 fof(f290,plain,(
% 0.12/0.39 ~sQ22_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl|~sQ10_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f268,f287,f145,f82,f118,f109,f157,f136])).
% 0.12/0.39 fof(f292,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c9|~inverse(X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f229,f155])).
% 0.12/0.39 fof(f293,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c9|~inverse(X0)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f229,f292])).
% 0.12/0.39 fof(f296,definition,(
% 0.12/0.39 sQ23_spl <=> (sk_c7=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f298,plain,(
% 0.12/0.39 ~sk_c7=sk_c9|sQ23_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f296])).
% 0.12/0.39 fof(f305,plain,(
% 0.12/0.39 ~sk_c7=sk_c9|~inverse(sk_c5)=sk_c7|~sQ12_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ3_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f236,f293])).
% 0.12/0.39 fof(f308,definition,(
% 0.12/0.39 sQ25_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f310,plain,(
% 0.12/0.39 ~inverse(sk_c5)=sk_c7|sQ25_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f308])).
% 0.12/0.39 fof(f311,plain,(
% 0.12/0.39 ~sQ23_spl|~sQ25_spl|~sQ12_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f305,f296,f308,f154,f82,f118,f109,f93])).
% 0.12/0.39 fof(f312,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f229,f98])).
% 0.12/0.39 fof(f316,definition,(
% 0.12/0.39 sQ26_spl <=> (sk_c7=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f318,plain,(
% 0.12/0.39 ~sk_c7=sk_c8|sQ26_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f316])).
% 0.12/0.39 fof(f319,definition,(
% 0.12/0.39 sQ27_spl <=> (inverse(sk_c8)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f321,plain,(
% 0.12/0.39 ~inverse(sk_c8)=sk_c9|sQ27_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f319])).
% 0.12/0.39 fof(f322,plain,(
% 0.12/0.39 ~sQ26_spl|~sQ27_spl|~sQ14_spl|~sQ0_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f196,f316,f319,f160,f82])).
% 0.12/0.39 fof(f323,definition,(
% 0.12/0.39 sQ28_spl <=> (sk_c8=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f325,plain,(
% 0.12/0.39 ~sk_c8=sk_c8|sQ28_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f323])).
% 0.12/0.39 fof(f332,plain,(
% 0.12/0.39 ~sk_c7=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ28_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f229,f325])).
% 0.12/0.39 fof(f333,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ28_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f229,f332])).
% 0.12/0.39 fof(f334,plain,(
% 0.12/0.39 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ28_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f333])).
% 0.12/0.39 fof(f335,plain,(
% 0.12/0.39 ~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ28_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f334])).
% 0.12/0.39 fof(f336,plain,(
% 0.12/0.39 ~inverse(sk_c7)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ27_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f229,f321])).
% 0.12/0.39 fof(f337,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ26_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f229,f318])).
% 0.12/0.39 fof(f338,plain,(
% 0.12/0.39 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ26_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.12/0.40 fof(f339,plain,(
% 0.12/0.40 ~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ26_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f338])).
% 0.12/0.40 fof(f342,plain,(
% 0.12/0.40 ~sQ23_spl|~sQ8_spl|~sQ15_spl|~sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f180,f296,f118,f163,f109])).
% 0.12/0.40 fof(f343,plain,(
% 0.12/0.40 ~sk_c7=sk_c9|~sQ5_spl|sQ21_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f102,f285])).
% 0.12/0.40 fof(f345,plain,(
% 0.12/0.40 $false|sQ25_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f312,f310])).
% 0.12/0.40 fof(f346,plain,(
% 0.12/0.40 sQ25_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f345])).
% 0.12/0.40 fof(f352,plain,(
% 0.12/0.40 sk_c9=multiply(inverse(sk_c4),sk_c8)|~sQ1_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f86,f207])).
% 0.12/0.40 fof(f354,plain,(
% 0.12/0.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f90,f352])).
% 0.12/0.40 fof(f362,definition,(
% 0.12/0.40 sQ31_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f366,plain,(
% 0.12/0.40 sk_c8=multiply(inverse(sk_c5),sk_c7)|~sQ3_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f94,f207])).
% 0.12/0.40 fof(f368,plain,(
% 0.12/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f98,f366])).
% 0.12/0.40 fof(f369,plain,(
% 0.12/0.40 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(identity)=sk_c9|~sQ13_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f41,f177])).
% 0.12/0.40 fof(f372,definition,(
% 0.12/0.40 sQ32_spl <=> (multiply(sk_c9,sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f375,definition,(
% 0.12/0.40 sQ33_spl <=> (inverse(identity)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f378,plain,(
% 0.12/0.40 ~sQ32_spl|~sQ33_spl|~sQ13_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f369,f372,f375,f157])).
% 0.12/0.40 fof(f381,plain,(
% 0.12/0.40 ~multiply(sk_c9,sk_c7)=sk_c8|~inverse(sk_c6)=sk_c9|~sQ13_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f106,f177])).
% 0.12/0.40 fof(f384,plain,(
% 0.12/0.40 ~sQ31_spl|~sQ21_spl|~sQ13_spl|~sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f381,f362,f283,f157,f105])).
% 0.12/0.40 fof(f390,plain,(
% 0.12/0.40 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(inverse(identity))=sk_c9|~sQ13_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f216,f177])).
% 0.12/0.40 fof(f393,definition,(
% 0.12/0.40 sQ34_spl <=> (inverse(inverse(identity))=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f396,plain,(
% 0.12/0.40 ~sQ32_spl|~sQ34_spl|~sQ13_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f390,f372,f393,f157])).
% 0.12/0.40 fof(f400,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c6)=identity|~sQ5_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f102,f42])).
% 0.12/0.40 fof(f402,plain,(
% 0.12/0.40 ~multiply(sk_c9,identity)=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~sQ13_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f42,f177])).
% 0.12/0.40 fof(f405,definition,(
% 0.12/0.40 sQ35_spl <=> (multiply(sk_c9,identity)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f408,definition,(
% 0.12/0.40 sQ36_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f411,plain,(
% 0.12/0.40 ~sQ35_spl|~sQ36_spl|~sQ13_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f402,f405,f408,f157])).
% 0.12/0.40 fof(f413,plain,(
% 0.12/0.40 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f354,f207])).
% 0.12/0.40 fof(f415,plain,(
% 0.12/0.40 sk_c8=identity|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f42,f413])).
% 0.12/0.40 fof(f416,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ2_spl|~sQ1_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f415,f42])).
% 0.12/0.40 fof(f418,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f415,f41])).
% 0.12/0.40 fof(f419,plain,(
% 0.12/0.40 sk_c9=sk_c7|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f418,f83])).
% 0.12/0.40 fof(f426,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f419,f106])).
% 0.12/0.40 fof(f427,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c8)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f419,f110])).
% 0.12/0.40 fof(f428,plain,(
% 0.12/0.40 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f419,f177])).
% 0.12/0.40 fof(f432,plain,(
% 0.12/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f419,f428])).
% 0.12/0.40 fof(f433,plain,(
% 0.12/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c8|~inverse(X0)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f419,f432])).
% 0.12/0.40 fof(f439,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f444,f418])).
% 0.12/0.40 fof(f440,plain,(
% 0.12/0.40 sk_c7=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f444,f415])).
% 0.12/0.40 fof(f443,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f444,f98])).
% 0.12/0.40 fof(f444,plain,(
% 0.12/0.40 sk_c8=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f418,f368])).
% 0.12/0.40 fof(f446,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f444,f416])).
% 0.12/0.40 fof(f450,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(sk_c7,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f446,f43])).
% 0.12/0.40 fof(f451,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f207,f450])).
% 0.12/0.40 fof(f455,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c7)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f444,f427])).
% 0.12/0.40 fof(f460,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c5)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f443,f446])).
% 0.12/0.40 fof(f462,plain,(
% 0.12/0.40 sk_c5=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f439,f460])).
% 0.12/0.40 fof(f464,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f439,f433])).
% 0.12/0.40 fof(f465,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f444,f464])).
% 0.12/0.40 fof(f471,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~inverse(sk_c1)=sk_c7|~sQ13_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f455,f465])).
% 0.12/0.40 fof(f472,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~inverse(sk_c6)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f426,f465])).
% 0.12/0.40 fof(f476,definition,(
% 0.12/0.40 sQ37_spl <=> (sk_c7=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f478,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|sQ37_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f476])).
% 0.12/0.40 fof(f483,definition,(
% 0.12/0.40 sQ39_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f485,plain,(
% 0.12/0.40 ~inverse(sk_c1)=sk_c7|sQ39_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f483])).
% 0.12/0.40 fof(f486,plain,(
% 0.12/0.40 ~sQ37_spl|~sQ39_spl|~sQ13_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f471,f476,f483,f157,f97,f93,f89,f85,f82,f109])).
% 0.12/0.40 fof(f487,plain,(
% 0.12/0.40 ~sQ37_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f472,f476,f101,f97,f93,f157,f89,f85,f82,f105])).
% 0.12/0.40 fof(f492,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c9|~inverse(X0)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f444,f155])).
% 0.12/0.40 fof(f493,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c8|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f419,f492])).
% 0.12/0.40 fof(f494,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f444,f493])).
% 0.12/0.40 fof(f498,plain,(
% 0.12/0.40 sk_c5=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f462,f440])).
% 0.12/0.40 fof(f502,plain,(
% 0.12/0.40 sk_c8=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f462,f444])).
% 0.12/0.40 fof(f505,plain,(
% 0.12/0.40 inverse(sk_c6)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f462,f102])).
% 0.12/0.40 fof(f508,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f462,f451])).
% 0.12/0.40 fof(f522,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c6,X0))|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f505,f207])).
% 0.12/0.40 fof(f523,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c6,X0)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f508,f522])).
% 0.12/0.40 fof(f543,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c6)=identity|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f462,f400])).
% 0.12/0.40 fof(f544,plain,(
% 0.12/0.40 sk_c5=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f545,f498])).
% 0.12/0.40 fof(f545,plain,(
% 0.12/0.40 sk_c6=identity|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f508,f543])).
% 0.12/0.40 fof(f547,plain,(
% 0.12/0.40 inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f544,f505])).
% 0.12/0.40 fof(f552,plain,(
% 0.12/0.40 sk_c8=sk_c6|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f544,f502])).
% 0.12/0.40 fof(f553,plain,(
% 0.12/0.40 sk_c6=sk_c7|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f544,f462])).
% 0.12/0.40 fof(f557,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c7|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f553,f494])).
% 0.12/0.40 fof(f558,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c7|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f553,f557])).
% 0.12/0.40 fof(f559,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f553,f558])).
% 0.12/0.40 fof(f560,plain,(
% 0.12/0.40 ~inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f559,f523])).
% 0.12/0.40 fof(f563,plain,(
% 0.12/0.40 ~sk_c6=sk_c6|~sQ0_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f547,f560])).
% 0.12/0.40 fof(f564,plain,(
% 0.12/0.40 $false|~sQ0_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f563])).
% 0.12/0.40 fof(f565,plain,(
% 0.12/0.40 ~sQ0_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f564])).
% 0.12/0.40 fof(f566,plain,(
% 0.12/0.40 $false|sQ37_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f478])).
% 0.12/0.40 fof(f567,plain,(
% 0.12/0.40 sQ37_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f566])).
% 0.12/0.40 fof(f575,plain,(
% 0.12/0.40 $false|sQ39_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f239,f485])).
% 0.12/0.40 fof(f576,plain,(
% 0.12/0.40 sQ39_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f575])).
% 0.12/0.40 fof(f581,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c3,X0)=X0|~sQ11_spl|~sQ10_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f250,f41])).
% 0.12/0.40 fof(f606,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ22_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f238,f289])).
% 0.12/0.40 fof(f607,plain,(
% 0.12/0.40 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ22_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f606])).
% 0.12/0.40 fof(f608,plain,(
% 0.12/0.40 ~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ22_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f607])).
% 0.12/0.40 fof(f609,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c1)=sk_c3|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f250,f241])).
% 0.12/0.40 fof(f628,plain,(
% 0.12/0.40 sk_c9=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f137,f207])).
% 0.12/0.40 fof(f630,plain,(
% 0.12/0.40 sk_c9=multiply(sk_c9,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f146,f628])).
% 0.12/0.40 fof(f631,plain,(
% 0.12/0.40 sk_c9=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f238,f630])).
% 0.12/0.40 fof(f632,plain,(
% 0.12/0.40 $false|sQ23_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f631,f298])).
% 0.12/0.40 fof(f633,plain,(
% 0.12/0.40 sQ23_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f632])).
% 0.12/0.40 fof(f642,plain,(
% 0.12/0.40 ~sQ23_spl|~sQ5_spl|sQ21_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f343,f296,f101,f283])).
% 0.12/0.40 fof(f656,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f631,f146])).
% 0.12/0.40 fof(f657,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c7)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f631,f234])).
% 0.12/0.40 fof(f658,plain,(
% 0.12/0.40 ~inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ27_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f631,f336])).
% 0.12/0.40 fof(f659,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c7)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f631,f237])).
% 0.12/0.40 fof(f679,definition,(
% 0.12/0.40 sQ42_spl <=> (sk_c3=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f681,plain,(
% 0.12/0.40 ~sk_c3=sk_c7|sQ42_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f679])).
% 0.12/0.40 fof(f699,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c2)=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f631,f252])).
% 0.12/0.40 fof(f709,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f657,f207])).
% 0.12/0.40 fof(f711,plain,(
% 0.12/0.40 sk_c7=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f253,f709])).
% 0.12/0.40 fof(f714,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f631,f293])).
% 0.12/0.40 fof(f719,plain,(
% 0.12/0.40 ~inverse(sk_c1)=sk_c7|~sQ12_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f714,f659])).
% 0.12/0.40 fof(f730,plain,(
% 0.12/0.40 ~sQ39_spl|~sQ12_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f719,f483,f154,f127,f145,f136,f82,f118,f109])).
% 0.12/0.40 fof(f732,definition,(
% 0.12/0.40 sQ43_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f734,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c7|sQ43_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f732])).
% 0.12/0.40 fof(f741,plain,(
% 0.12/0.40 ~sQ43_spl|~sQ42_spl|~sQ16_spl|~sQ10_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f173,f732,f679,f166,f136])).
% 0.12/0.40 fof(f745,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c2)=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f711,f699])).
% 0.12/0.40 fof(f747,plain,(
% 0.12/0.40 ~inverse(sk_c7)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ27_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f711,f658])).
% 0.12/0.40 fof(f748,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f711,f656])).
% 0.12/0.40 fof(f752,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c1)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f711,f609])).
% 0.12/0.40 fof(f753,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f711,f239])).
% 0.12/0.40 fof(f758,plain,(
% 0.12/0.40 sk_c2=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f581,f745])).
% 0.12/0.40 fof(f760,plain,(
% 0.12/0.40 ~inverse(sk_c3)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ27_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f711,f747])).
% 0.12/0.40 fof(f761,plain,(
% 0.12/0.40 sk_c1=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f581,f752])).
% 0.12/0.40 fof(f762,plain,(
% 0.12/0.40 ~sk_c3=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ42_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f711,f681])).
% 0.12/0.40 fof(f763,plain,(
% 0.12/0.40 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ42_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f762])).
% 0.12/0.40 fof(f764,plain,(
% 0.12/0.40 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ42_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f763])).
% 0.12/0.40 fof(f765,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ43_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f711,f734])).
% 0.12/0.40 fof(f774,plain,(
% 0.12/0.40 sk_c1=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f758,f761])).
% 0.12/0.40 fof(f779,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ27_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f758,f760])).
% 0.12/0.40 fof(f780,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ27_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f758,f779])).
% 0.12/0.40 fof(f781,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f758,f748])).
% 0.12/0.40 fof(f782,plain,(
% 0.12/0.40 $false|sQ27_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f781,f780])).
% 0.12/0.40 fof(f783,plain,(
% 0.12/0.40 sQ27_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f782])).
% 0.12/0.40 fof(f788,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f774,f753])).
% 0.12/0.40 fof(f789,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f758,f788])).
% 0.12/0.40 fof(f799,plain,(
% 0.12/0.40 ~sk_c2=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ43_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f789,f765])).
% 0.12/0.40 fof(f800,plain,(
% 0.12/0.40 ~sk_c2=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ43_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f758,f799])).
% 0.12/0.40 fof(f801,plain,(
% 0.12/0.40 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ43_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f800])).
% 0.12/0.40 fof(f802,plain,(
% 0.12/0.40 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ43_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f801])).
% 0.12/0.40 fof(f811,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f545,f41])).
% 0.12/0.40 fof(f822,plain,(
% 0.12/0.40 ~multiply(sk_c6,sk_c9)=sk_c7|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f552,f84])).
% 0.12/0.40 fof(f823,plain,(
% 0.12/0.40 ~sk_c9=sk_c7|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f811,f822])).
% 0.12/0.40 fof(f824,plain,(
% 0.12/0.40 ~sk_c9=sk_c6|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f553,f823])).
% 0.12/0.40 fof(f861,plain,(
% 0.12/0.40 sk_c9=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f811,f106])).
% 0.12/0.40 fof(f862,plain,(
% 0.12/0.40 sk_c9=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f553,f861])).
% 0.12/0.40 fof(f871,plain,(
% 0.12/0.40 ~sk_c6=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f862,f824])).
% 0.12/0.40 fof(f872,plain,(
% 0.12/0.40 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f871])).
% 0.12/0.40 fof(f873,plain,(
% 0.12/0.40 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f872])).
% 0.12/0.40 fof(f874,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f169,f176,f183,f202,f286,f290,f311,f322,f335,f339,f342,f346,f378,f384,f396,f411,f486,f487,f565,f567,f576,f608,f633,f642,f730,f741,f764,f783,f802,f873])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.055735 seconds
% 0.12/0.42 % CPU time: 0.215555 seconds
% 0.12/0.42 % Total memory used: 105.040 MB
% 0.12/0.42 % Net memory used: 104.840 MB
%------------------------------------------------------------------------------