%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP341-1 : 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 : n002.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 12:36:28 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 : GRP341-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n002.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:12:02 UTC 2026
% 0.07/0.35 % 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_c6,sk_c7) = sk_c5| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 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_c6,sk_c7) = sk_c5| inverse(sk_c3) = 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_c6,sk_c7) = sk_c5| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 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_c6,sk_c7) = sk_c5| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 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_c6,sk_c7) = sk_c5| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = 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 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 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_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 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_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f18,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 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_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 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_c1,sk_c6) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 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_c1,sk_c6) = sk_c7| multiply(sk_c5,sk_c6) = 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 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f26,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = 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 ( inverse(sk_c2) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f29,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 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_c5) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 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_c5) = sk_c6| inverse(sk_c3) = 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 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f35,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f36,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f37,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f38,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c5,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 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| inverse(X3) != sk_c7| multiply(X3,sk_c6) != sk_c7| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| inverse(sk_c5) != sk_c6| multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6| multiply(sk_c5,sk_c7) != sk_c6| multiply(sk_c5,sk_c6) != sk_c7 ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f40,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(f41,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(f42,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(f43,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c3,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c4,sk_c6)=sk_c5),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f50,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f56,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f61,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f62,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f64,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f67,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.39 fof(f71,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f72,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.39 fof(f73,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.39 fof(f75,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c5,sk_c7)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.39 fof(f77,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 ((![X2]: ((((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X3)=sk_c7)|~multiply(X3,sk_c6)=sk_c7))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~inverse(sk_c5)=sk_c6)|~multiply(X2,sk_c6)=sk_c5)|~inverse(X2)=sk_c6))|~multiply(sk_c5,sk_c7)=sk_c6)|~multiply(sk_c5,sk_c6)=sk_c7),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f39])).
% 0.12/0.39 fof(f79,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7|~inverse(sk_c5)=sk_c6|~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6|~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c5,sk_c6)=sk_c7)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f78])).
% 0.12/0.39 fof(f80,definition,(
% 0.12/0.39 sQ0_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f81,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c7)=sk_c5|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f80])).
% 0.12/0.39 fof(f82,plain,(
% 0.12/0.39 ~multiply(sk_c6,sk_c7)=sk_c5|sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f80])).
% 0.12/0.39 fof(f83,definition,(
% 0.12/0.39 sQ1_spl <=> (multiply(sk_c3,sk_c7)=sk_c6)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f84,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c7)=sk_c6|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f83])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f43,f80,f83])).
% 0.12/0.39 fof(f87,definition,(
% 0.12/0.39 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f88,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f87])).
% 0.12/0.39 fof(f90,plain,(
% 0.12/0.39 sQ0_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f44,f80,f87])).
% 0.12/0.39 fof(f91,definition,(
% 0.12/0.39 sQ3_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f92,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c6|~sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.12/0.39 fof(f93,plain,(
% 0.12/0.39 ~inverse(sk_c5)=sk_c6|sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.12/0.39 fof(f95,definition,(
% 0.12/0.39 sQ4_spl <=> (multiply(sk_c4,sk_c6)=sk_c5)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c6)=sk_c5|~sQ4_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f95])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 sQ0_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f46,f80,f95])).
% 0.12/0.39 fof(f99,definition,(
% 0.12/0.39 sQ5_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c6|~sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.12/0.40 fof(f103,definition,(
% 0.12/0.40 sQ6_spl <=> (multiply(sk_c5,sk_c7)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f104,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c7)=sk_c6|~sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.12/0.40 fof(f105,plain,(
% 0.12/0.40 ~multiply(sk_c5,sk_c7)=sk_c6|sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.12/0.40 fof(f106,plain,(
% 0.12/0.40 sQ0_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f48,f80,f103])).
% 0.12/0.40 fof(f107,definition,(
% 0.12/0.40 sQ7_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f108,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c6)=sk_c7|~sQ7_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.12/0.40 fof(f109,plain,(
% 0.12/0.40 ~multiply(sk_c5,sk_c6)=sk_c7|sQ7_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.12/0.40 fof(f110,plain,(
% 0.12/0.40 sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f49,f80,f107])).
% 0.12/0.40 fof(f111,definition,(
% 0.12/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f112,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f111])).
% 0.12/0.40 fof(f114,plain,(
% 0.12/0.40 sQ8_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f50,f111,f83])).
% 0.12/0.40 fof(f115,plain,(
% 0.12/0.40 sQ8_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f51,f111,f87])).
% 0.12/0.40 fof(f116,plain,(
% 0.12/0.40 sQ8_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f52,f111,f91])).
% 0.12/0.40 fof(f117,plain,(
% 0.12/0.40 sQ8_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f53,f111,f95])).
% 0.12/0.40 fof(f118,plain,(
% 0.12/0.40 sQ8_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f54,f111,f99])).
% 0.12/0.40 fof(f119,plain,(
% 0.12/0.40 sQ8_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f55,f111,f103])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 sQ8_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f56,f111,f107])).
% 0.12/0.40 fof(f121,definition,(
% 0.12/0.40 sQ9_spl <=> (multiply(sk_c1,sk_c6)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c6)=sk_c7|~sQ9_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.12/0.40 fof(f124,plain,(
% 0.12/0.40 sQ9_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f57,f121,f83])).
% 0.12/0.40 fof(f125,plain,(
% 0.12/0.40 sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f58,f121,f87])).
% 0.12/0.40 fof(f126,plain,(
% 0.12/0.40 sQ9_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f59,f121,f91])).
% 0.12/0.40 fof(f127,plain,(
% 0.12/0.40 sQ9_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f60,f121,f95])).
% 0.12/0.40 fof(f128,plain,(
% 0.12/0.40 sQ9_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f61,f121,f99])).
% 0.12/0.40 fof(f129,plain,(
% 0.12/0.40 sQ9_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f62,f121,f103])).
% 0.12/0.40 fof(f130,plain,(
% 0.12/0.40 sQ9_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f63,f121,f107])).
% 0.12/0.40 fof(f131,definition,(
% 0.12/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f132,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c6|~sQ10_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f131])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 sQ10_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f64,f131,f83])).
% 0.12/0.40 fof(f135,plain,(
% 0.12/0.40 sQ10_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f65,f131,f87])).
% 0.12/0.40 fof(f136,plain,(
% 0.12/0.40 sQ10_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f66,f131,f91])).
% 0.12/0.40 fof(f137,plain,(
% 0.12/0.40 sQ10_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f67,f131,f95])).
% 0.12/0.40 fof(f138,plain,(
% 0.12/0.40 sQ10_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f68,f131,f99])).
% 0.12/0.40 fof(f139,plain,(
% 0.12/0.40 sQ10_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f69,f131,f103])).
% 0.12/0.40 fof(f140,plain,(
% 0.12/0.40 sQ10_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f70,f131,f107])).
% 0.12/0.40 fof(f141,definition,(
% 0.12/0.40 sQ11_spl <=> (multiply(sk_c2,sk_c5)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f142,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c5)=sk_c6|~sQ11_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f141])).
% 0.12/0.40 fof(f144,plain,(
% 0.12/0.40 sQ11_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f71,f141,f83])).
% 0.12/0.40 fof(f145,plain,(
% 0.12/0.40 sQ11_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f72,f141,f87])).
% 0.12/0.40 fof(f146,plain,(
% 0.12/0.40 sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f73,f141,f91])).
% 0.12/0.40 fof(f147,plain,(
% 0.12/0.40 sQ11_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f74,f141,f95])).
% 0.12/0.40 fof(f148,plain,(
% 0.12/0.40 sQ11_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f75,f141,f99])).
% 0.12/0.40 fof(f149,plain,(
% 0.12/0.40 sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f76,f141,f103])).
% 0.12/0.40 fof(f150,plain,(
% 0.12/0.40 sQ11_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f77,f141,f107])).
% 0.12/0.40 fof(f151,definition,(
% 0.12/0.40 ![X0]: (sQ12_spl <=> (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f152,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f151])).
% 0.12/0.40 fof(f154,definition,(
% 0.12/0.40 ![X1]: (sQ13_spl <=> (~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f155,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ13_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f154])).
% 0.12/0.40 fof(f157,definition,(
% 0.12/0.40 ![X2]: (sQ14_spl <=> (~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f158,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ14_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f157])).
% 0.12/0.40 fof(f160,definition,(
% 0.12/0.40 ![X3]: (sQ15_spl <=> (~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f161,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ15_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f160])).
% 0.12/0.40 fof(f163,plain,(
% 0.12/0.40 ~sQ0_spl|sQ12_spl|sQ13_spl|sQ14_spl|~sQ3_spl|sQ15_spl|~sQ6_spl|~sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f79,f80,f151,f154,f157,f91,f160,f103,f107])).
% 0.12/0.40 fof(f169,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c6,X0))|~sQ4_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f96,f42])).
% 0.12/0.40 fof(f170,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f84,f42])).
% 0.12/0.40 fof(f172,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c3)=identity|~sQ2_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f88,f41])).
% 0.12/0.40 fof(f174,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c1)=identity|~sQ8_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f112,f41])).
% 0.12/0.40 fof(f176,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f41,f42])).
% 0.12/0.40 fof(f177,plain,(
% 0.12/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f176])).
% 0.12/0.40 fof(f179,plain,(
% 0.12/0.40 ~inverse(sk_c4)=sk_c6|~sQ15_spl|~sQ4_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f161,f96])).
% 0.12/0.40 fof(f181,plain,(
% 0.12/0.40 ~sk_c6=sk_c5|~inverse(identity)=sk_c6|~sQ15_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f40,f161])).
% 0.12/0.40 fof(f185,plain,(
% 0.12/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ15_spl|~sQ4_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f100,f179])).
% 0.12/0.40 fof(f186,plain,(
% 0.12/0.40 $false|~sQ5_spl|~sQ15_spl|~sQ4_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f185])).
% 0.12/0.40 fof(f187,plain,(
% 0.12/0.40 ~sQ5_spl|~sQ15_spl|~sQ4_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f186])).
% 0.12/0.40 fof(f188,plain,(
% 0.12/0.40 ~inverse(sk_c3)=sk_c7|~sQ14_spl|~sQ1_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f158,f84])).
% 0.12/0.40 fof(f191,plain,(
% 0.12/0.40 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~sQ14_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f40,f158])).
% 0.12/0.40 fof(f194,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f88,f188])).
% 0.12/0.40 fof(f195,plain,(
% 0.12/0.40 $false|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f194])).
% 0.12/0.40 fof(f196,plain,(
% 0.12/0.40 ~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f195])).
% 0.12/0.40 fof(f197,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c6|~sQ13_spl|~sQ11_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f155,f142])).
% 0.12/0.40 fof(f202,plain,(
% 0.12/0.40 ~sk_c6=sk_c6|~sQ10_spl|~sQ13_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f132,f197])).
% 0.12/0.40 fof(f203,plain,(
% 0.12/0.40 $false|~sQ10_spl|~sQ13_spl|~sQ11_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f202])).
% 0.12/0.40 fof(f204,plain,(
% 0.12/0.40 ~sQ10_spl|~sQ13_spl|~sQ11_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f203])).
% 0.12/0.40 fof(f205,plain,(
% 0.12/0.40 ~inverse(sk_c1)=sk_c7|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f152,f122])).
% 0.12/0.40 fof(f211,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~sQ8_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f112,f205])).
% 0.12/0.40 fof(f212,plain,(
% 0.12/0.40 $false|~sQ8_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f211])).
% 0.12/0.40 fof(f213,plain,(
% 0.12/0.40 ~sQ8_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f212])).
% 0.12/0.40 fof(f217,definition,(
% 0.12/0.40 sQ17_spl <=> (identity=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f218,plain,(
% 0.12/0.40 identity=sk_c7|~sQ17_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f217])).
% 0.12/0.40 fof(f219,plain,(
% 0.12/0.40 ~identity=sk_c7|sQ17_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f217])).
% 0.12/0.40 fof(f221,definition,(
% 0.12/0.40 sQ18_spl <=> (inverse(identity)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f223,plain,(
% 0.12/0.40 ~inverse(identity)=sk_c7|sQ18_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f221])).
% 0.12/0.40 fof(f224,definition,(
% 0.12/0.40 sQ19_spl <=> (sk_c6=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f226,plain,(
% 0.12/0.40 ~sk_c6=sk_c7|sQ19_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f224])).
% 0.12/0.40 fof(f235,definition,(
% 0.12/0.40 sQ22_spl <=> (sk_c7=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f237,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|sQ22_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f235])).
% 0.12/0.40 fof(f240,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c5)=identity|~sQ3_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f92,f41])).
% 0.12/0.40 fof(f242,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c7,X0))|~sQ6_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f104,f42])).
% 0.12/0.40 fof(f244,plain,(
% 0.12/0.40 ~inverse(sk_c5)=sk_c7|~sk_c7=sk_c7|~sQ12_spl|~sQ7_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f108,f152])).
% 0.12/0.40 fof(f247,definition,(
% 0.12/0.40 sQ23_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f249,plain,(
% 0.12/0.40 ~inverse(sk_c5)=sk_c7|sQ23_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f247])).
% 0.12/0.40 fof(f250,plain,(
% 0.12/0.40 ~sQ23_spl|~sQ22_spl|~sQ12_spl|~sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f244,f247,f235,f151,f107])).
% 0.12/0.40 fof(f251,plain,(
% 0.12/0.40 $false|sQ22_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f237])).
% 0.12/0.40 fof(f252,plain,(
% 0.12/0.40 sQ22_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f251])).
% 0.12/0.40 fof(f265,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f172,f42])).
% 0.12/0.40 fof(f266,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f265])).
% 0.12/0.40 fof(f274,plain,(
% 0.12/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f84,f266])).
% 0.12/0.40 fof(f278,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c6)=multiply(sk_c3,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f274,f170])).
% 0.12/0.40 fof(f280,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f84,f278])).
% 0.12/0.40 fof(f281,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c6)=multiply(sk_c4,sk_c6)|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f280,f169])).
% 0.12/0.40 fof(f283,plain,(
% 0.12/0.40 sk_c7=multiply(sk_c4,sk_c6)|~sQ7_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f108,f281])).
% 0.12/0.40 fof(f284,plain,(
% 0.12/0.40 sk_c7=sk_c5|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f283,f96])).
% 0.12/0.40 fof(f286,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c7)=identity|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f284,f240])).
% 0.12/0.40 fof(f289,plain,(
% 0.12/0.40 ~multiply(sk_c6,sk_c7)=sk_c7|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f284,f82])).
% 0.12/0.40 fof(f291,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c7)=sk_c6|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f284,f104])).
% 0.12/0.40 fof(f292,plain,(
% 0.12/0.40 inverse(sk_c7)=sk_c6|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f284,f92])).
% 0.12/0.40 fof(f298,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c7,X0))|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f284,f242])).
% 0.12/0.40 fof(f299,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c7)=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f291,f298])).
% 0.12/0.40 fof(f306,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c7)=sk_c7|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f274,f299])).
% 0.12/0.40 fof(f307,plain,(
% 0.12/0.40 $false|sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f306,f289])).
% 0.12/0.40 fof(f308,plain,(
% 0.12/0.40 sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f307])).
% 0.12/0.40 fof(f312,plain,(
% 0.12/0.40 ~inverse(sk_c7)=sk_c7|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ23_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f284,f249])).
% 0.12/0.40 fof(f313,plain,(
% 0.12/0.40 ~sk_c6=sk_c7|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ23_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f292,f312])).
% 0.12/0.40 fof(f315,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c7)=sk_c7|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f284,f81])).
% 0.12/0.40 fof(f321,plain,(
% 0.12/0.40 ~inverse(sk_c7)=sk_c7|~sk_c7=sk_c7|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f274,f152])).
% 0.12/0.40 fof(f332,definition,(
% 0.12/0.40 sQ25_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f335,plain,(
% 0.12/0.40 ~sQ25_spl|~sQ22_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f321,f332,f235,f151,f87,f83])).
% 0.12/0.40 fof(f351,plain,(
% 0.12/0.40 identity=sk_c7|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f286,f315])).
% 0.12/0.40 fof(f363,plain,(
% 0.12/0.40 multiply(sk_c7,identity)=sk_c6|~sQ3_spl|~sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f351,f291])).
% 0.12/0.40 fof(f364,plain,(
% 0.12/0.40 identity=sk_c5|~sQ3_spl|~sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f351,f284])).
% 0.12/0.40 fof(f366,plain,(
% 0.12/0.40 sk_c7=multiply(identity,sk_c6)|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f351,f274])).
% 0.12/0.40 fof(f368,plain,(
% 0.12/0.40 multiply(identity,sk_c3)=identity|~sQ3_spl|~sQ7_spl|~sQ1_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f351,f172])).
% 0.12/0.40 fof(f370,plain,(
% 0.12/0.40 inverse(sk_c3)=identity|~sQ3_spl|~sQ7_spl|~sQ1_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f351,f88])).
% 0.12/0.40 fof(f379,plain,(
% 0.12/0.40 multiply(identity,identity)=sk_c6|~sQ3_spl|~sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f351,f363])).
% 0.12/0.40 fof(f380,plain,(
% 0.12/0.40 identity=sk_c6|~sQ3_spl|~sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f379])).
% 0.12/0.40 fof(f381,plain,(
% 0.12/0.40 identity=multiply(identity,sk_c6)|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f351,f366])).
% 0.12/0.40 fof(f382,plain,(
% 0.12/0.40 identity=sk_c6|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f381])).
% 0.12/0.40 fof(f384,plain,(
% 0.12/0.40 sk_c3=identity|~sQ3_spl|~sQ7_spl|~sQ1_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f368])).
% 0.12/0.40 fof(f394,definition,(
% 0.12/0.40 sQ27_spl <=> (sk_c6=identity)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f396,plain,(
% 0.12/0.40 ~sk_c6=identity|sQ27_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f394])).
% 0.12/0.40 fof(f401,definition,(
% 0.12/0.40 sQ29_spl <=> (identity=identity)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f403,plain,(
% 0.12/0.40 ~identity=identity|sQ29_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f401])).
% 0.12/0.40 fof(f412,plain,(
% 0.12/0.40 ~sk_c6=identity|~sQ0_spl|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ23_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f351,f313])).
% 0.12/0.40 fof(f419,plain,(
% 0.12/0.40 $false|sQ23_spl|~sQ3_spl|~sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f380,f412])).
% 0.12/0.40 fof(f420,plain,(
% 0.12/0.40 sQ23_spl|~sQ3_spl|~sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f419])).
% 0.12/0.40 fof(f426,definition,(
% 0.12/0.40 sQ32_spl <=> (inverse(identity)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f428,plain,(
% 0.12/0.40 ~inverse(identity)=sk_c6|sQ32_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f426])).
% 0.12/0.40 fof(f429,definition,(
% 0.12/0.40 sQ33_spl <=> (sk_c5=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f431,plain,(
% 0.12/0.40 ~sk_c5=sk_c6|sQ33_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f429])).
% 0.12/0.40 fof(f449,plain,(
% 0.12/0.40 inverse(identity)=identity|~sQ3_spl|~sQ7_spl|~sQ1_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f384,f370])).
% 0.12/0.40 fof(f453,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f382,f155])).
% 0.12/0.40 fof(f454,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f364,f453])).
% 0.12/0.40 fof(f455,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f382,f454])).
% 0.12/0.40 fof(f456,plain,(
% 0.12/0.40 ~inverse(inverse(identity))=identity|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f455,f41])).
% 0.12/0.40 fof(f461,plain,(
% 0.12/0.40 ~inverse(identity)=identity|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f449,f456])).
% 0.12/0.40 fof(f462,plain,(
% 0.12/0.40 ~identity=identity|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f449,f461])).
% 0.12/0.40 fof(f463,plain,(
% 0.12/0.40 $false|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f462])).
% 0.12/0.40 fof(f464,plain,(
% 0.12/0.40 ~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f463])).
% 0.12/0.40 fof(f465,plain,(
% 0.12/0.40 $false|sQ29_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f403])).
% 0.12/0.40 fof(f466,plain,(
% 0.12/0.40 sQ29_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f465])).
% 0.12/0.40 fof(f491,plain,(
% 0.12/0.40 sk_c6=multiply(inverse(sk_c1),sk_c7)|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f122,f177])).
% 0.12/0.40 fof(f493,plain,(
% 0.12/0.40 sk_c5=multiply(inverse(sk_c2),sk_c6)|~sQ11_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f142,f177])).
% 0.12/0.40 fof(f496,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c6),sk_c5)|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f81,f177])).
% 0.12/0.40 fof(f504,plain,(
% 0.12/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ8_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f112,f491])).
% 0.12/0.40 fof(f506,plain,(
% 0.12/0.40 sk_c5=multiply(sk_c6,sk_c6)|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f132,f493])).
% 0.12/0.40 fof(f518,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c7),sk_c6)|~sQ8_spl|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f504,f177])).
% 0.12/0.40 fof(f533,plain,(
% 0.12/0.40 sk_c6=multiply(inverse(sk_c6),sk_c5)|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f506,f177])).
% 0.12/0.40 fof(f577,plain,(
% 0.12/0.40 sk_c7=sk_c6|~sQ10_spl|~sQ11_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f533,f496])).
% 0.12/0.40 fof(f580,plain,(
% 0.12/0.40 $false|sQ19_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f577,f226])).
% 0.12/0.40 fof(f581,plain,(
% 0.12/0.40 sQ19_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f580])).
% 0.12/0.40 fof(f582,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f577,f518])).
% 0.12/0.40 fof(f592,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c1)=identity|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f577,f174])).
% 0.12/0.40 fof(f595,plain,(
% 0.12/0.40 ~identity=sk_c6|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ17_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f577,f219])).
% 0.12/0.40 fof(f597,plain,(
% 0.12/0.40 ~inverse(identity)=sk_c6|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ18_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f577,f223])).
% 0.12/0.40 fof(f599,plain,(
% 0.12/0.40 ~multiply(sk_c5,sk_c6)=sk_c6|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f577,f109])).
% 0.12/0.40 fof(f601,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c6|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f577,f112])).
% 0.12/0.40 fof(f605,plain,(
% 0.12/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f577,f582])).
% 0.12/0.40 fof(f606,plain,(
% 0.12/0.40 sk_c6=identity|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f41,f605])).
% 0.12/0.40 fof(f607,plain,(
% 0.12/0.40 $false|sQ27_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f606,f396])).
% 0.12/0.40 fof(f608,plain,(
% 0.12/0.40 sQ27_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f607])).
% 0.12/0.40 fof(f611,plain,(
% 0.12/0.40 ~sQ27_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ17_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f595,f394,f131,f141,f80,f217])).
% 0.12/0.40 fof(f618,plain,(
% 0.12/0.40 sk_c5=multiply(sk_c6,identity)|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f606,f506])).
% 0.12/0.40 fof(f626,plain,(
% 0.12/0.40 ~sk_c5=identity|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ33_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f606,f431])).
% 0.12/0.40 fof(f636,plain,(
% 0.12/0.40 sk_c5=multiply(identity,identity)|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f618])).
% 0.12/0.40 fof(f637,plain,(
% 0.12/0.40 sk_c5=identity|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f636])).
% 0.12/0.40 fof(f642,plain,(
% 0.12/0.40 ~multiply(sk_c5,identity)=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f599])).
% 0.12/0.40 fof(f643,plain,(
% 0.12/0.40 ~multiply(sk_c5,identity)=identity|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f642])).
% 0.12/0.40 fof(f650,plain,(
% 0.12/0.40 inverse(sk_c1)=identity|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f601])).
% 0.12/0.40 fof(f678,plain,(
% 0.12/0.40 multiply(identity,sk_c1)=identity|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f592])).
% 0.12/0.40 fof(f680,plain,(
% 0.12/0.40 inverse(identity)=identity|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f681,f650])).
% 0.12/0.40 fof(f681,plain,(
% 0.12/0.40 sk_c1=identity|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f678])).
% 0.12/0.40 fof(f696,plain,(
% 0.12/0.40 ~identity=sk_c6|~sQ9_spl|~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ18_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f680,f597])).
% 0.12/0.40 fof(f697,plain,(
% 0.12/0.40 ~identity=identity|~sQ9_spl|~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ18_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f696])).
% 0.12/0.40 fof(f698,plain,(
% 0.12/0.40 $false|~sQ9_spl|~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ18_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f697])).
% 0.12/0.40 fof(f699,plain,(
% 0.12/0.40 ~sQ9_spl|~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ18_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f698])).
% 0.12/0.40 fof(f721,plain,(
% 0.12/0.40 ~multiply(identity,identity)=identity|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f637,f643])).
% 0.12/0.40 fof(f722,plain,(
% 0.12/0.40 ~identity=identity|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f721])).
% 0.12/0.40 fof(f723,plain,(
% 0.12/0.40 $false|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f722])).
% 0.12/0.40 fof(f724,plain,(
% 0.12/0.40 ~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f723])).
% 0.12/0.40 fof(f745,plain,(
% 0.12/0.40 ~inverse(identity)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f637,f93])).
% 0.12/0.40 fof(f746,plain,(
% 0.12/0.40 ~identity=sk_c6|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f680,f745])).
% 0.12/0.40 fof(f747,plain,(
% 0.12/0.40 ~identity=identity|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f746])).
% 0.12/0.40 fof(f748,plain,(
% 0.12/0.40 $false|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f747])).
% 0.12/0.40 fof(f749,plain,(
% 0.12/0.40 ~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f748])).
% 0.12/0.40 fof(f779,plain,(
% 0.12/0.40 ~sQ19_spl|~sQ18_spl|~sQ14_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f191,f224,f221,f157])).
% 0.12/0.40 fof(f785,plain,(
% 0.12/0.40 ~multiply(identity,sk_c7)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f637,f105])).
% 0.12/0.40 fof(f786,plain,(
% 0.12/0.40 ~sk_c7=sk_c6|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f40,f785])).
% 0.12/0.40 fof(f787,plain,(
% 0.12/0.40 ~identity=sk_c6|~sQ17_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f218,f786])).
% 0.12/0.40 fof(f788,plain,(
% 0.12/0.40 ~identity=identity|~sQ17_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f787])).
% 0.12/0.40 fof(f789,plain,(
% 0.12/0.40 $false|~sQ17_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f788])).
% 0.12/0.40 fof(f790,plain,(
% 0.12/0.40 ~sQ17_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f789])).
% 0.12/0.40 fof(f801,plain,(
% 0.12/0.40 ~sQ33_spl|~sQ32_spl|~sQ15_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f181,f429,f426,f160])).
% 0.12/0.40 fof(f809,plain,(
% 0.12/0.40 ~identity=identity|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ33_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f637,f626])).
% 0.12/0.40 fof(f810,plain,(
% 0.12/0.40 $false|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ33_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f809])).
% 0.12/0.40 fof(f811,plain,(
% 0.12/0.40 ~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ33_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f810])).
% 0.12/0.40 fof(f817,plain,(
% 0.12/0.40 ~identity=sk_c6|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|sQ32_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f680,f428])).
% 0.12/0.40 fof(f818,plain,(
% 0.12/0.40 ~identity=identity|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|sQ32_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f606,f817])).
% 0.12/0.40 fof(f819,plain,(
% 0.12/0.40 $false|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|sQ32_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f818])).
% 0.12/0.40 fof(f820,plain,(
% 0.12/0.40 ~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|sQ32_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f819])).
% 0.12/0.40 fof(f821,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f86,f90,f98,f106,f110,f114,f115,f116,f117,f118,f119,f120,f124,f125,f126,f127,f128,f129,f130,f134,f135,f136,f137,f138,f139,f140,f144,f145,f146,f147,f148,f149,f150,f163,f187,f196,f204,f213,f250,f252,f308,f335,f420,f464,f466,f581,f608,f611,f699,f724,f749,f779,f790,f801,f811,f820])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.065685 seconds
% 0.12/0.42 % CPU time: 0.211283 seconds
% 0.12/0.42 % Total memory used: 104.649 MB
% 0.12/0.42 % Net memory used: 104.467 MB
%------------------------------------------------------------------------------