%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP372-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:36:31 PM UTC 2026
% Result : Unsatisfiable 0.13s 10.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP372-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.39 % Computer : n019.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Sun Sep 20 20:10:31 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.13/10.40 % Drodi V4.1.1
% 0.13/10.43 % Refutation found
% 0.13/10.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/10.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/10.43 fof(f1,axiom,(
% 0.13/10.43 (![X]: (multiply(identity,X) = X ))),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f2,axiom,(
% 0.13/10.43 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f3,axiom,(
% 0.13/10.43 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f5,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c8) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f6,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f7,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c8) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f8,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f9,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f10,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f11,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f12,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f13,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f14,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f15,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f16,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f17,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f18,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f19,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f20,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f21,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f22,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f23,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f24,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c8,sk_c6) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f25,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f26,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f27,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c8,sk_c6) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f28,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f29,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f30,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f31,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f32,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f33,negated_conjecture,(
% 0.13/10.43 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f34,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f35,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f36,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f37,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f38,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f39,negated_conjecture,(
% 0.13/10.43 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f40,negated_conjecture,(
% 0.13/10.43 (![X3,X4,X1,X2,X5]: (( inverse(sk_c8) != sk_c7| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(sk_c8,sk_c6) != sk_c7| multiply(X4,sk_c7) != sk_c6| inverse(X4) != sk_c7| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.13/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.43 fof(f41,plain,(
% 0.13/10.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/10.43 fof(f42,plain,(
% 0.13/10.43 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/10.43 fof(f43,plain,(
% 0.13/10.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/10.43 fof(f45,plain,(
% 0.13/10.43 inverse(sk_c8)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/10.43 fof(f46,plain,(
% 0.13/10.43 inverse(sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/10.43 fof(f47,plain,(
% 0.13/10.43 inverse(sk_c8)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/10.43 fof(f48,plain,(
% 0.13/10.43 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/10.43 fof(f49,plain,(
% 0.13/10.43 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/10.43 fof(f50,plain,(
% 0.13/10.43 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/10.43 fof(f51,plain,(
% 0.13/10.43 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/10.43 fof(f52,plain,(
% 0.13/10.43 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/10.43 fof(f53,plain,(
% 0.13/10.43 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/10.43 fof(f54,plain,(
% 0.13/10.43 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/10.43 fof(f55,plain,(
% 0.13/10.43 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/10.43 fof(f56,plain,(
% 0.13/10.43 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/10.43 fof(f57,plain,(
% 0.13/10.43 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/10.43 fof(f58,plain,(
% 0.13/10.43 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/10.43 fof(f59,plain,(
% 0.13/10.43 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/10.43 fof(f60,plain,(
% 0.13/10.43 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/10.43 fof(f61,plain,(
% 0.13/10.43 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/10.43 fof(f62,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/10.43 fof(f63,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/10.43 fof(f64,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c6)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/10.43 fof(f65,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/10.43 fof(f66,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/10.43 fof(f67,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c6)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/10.43 fof(f68,plain,(
% 0.13/10.43 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/10.43 fof(f69,plain,(
% 0.13/10.43 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/10.43 fof(f70,plain,(
% 0.13/10.43 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/10.43 fof(f71,plain,(
% 0.13/10.43 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/10.43 fof(f72,plain,(
% 0.13/10.43 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/10.43 fof(f73,plain,(
% 0.13/10.43 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/10.43 fof(f74,plain,(
% 0.13/10.43 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/10.43 fof(f75,plain,(
% 0.13/10.43 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/10.43 fof(f76,plain,(
% 0.13/10.43 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/10.43 fof(f77,plain,(
% 0.13/10.43 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/10.43 fof(f78,plain,(
% 0.13/10.43 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/10.43 fof(f79,plain,(
% 0.13/10.43 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/10.43 fof(f80,plain,(
% 0.13/10.43 ![X5]: ((![X2]: (((![X1]: ((((![X4]: ((((![X3]: ((~inverse(sk_c8)=sk_c7|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(sk_c8,sk_c6)=sk_c7)|~multiply(X4,sk_c7)=sk_c6)|~inverse(X4)=sk_c7))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.13/10.43 inference(miniscoping,[status(thm)],[f40])).
% 0.13/10.43 fof(f81,plain,(
% 0.13/10.43 ![X0,X1,X2,X3,X4]: (~inverse(sk_c8)=sk_c7|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c8,sk_c6)=sk_c7|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.13/10.43 inference(cnf_transformation,[status(thm)],[f80])).
% 0.13/10.43 fof(f82,definition,(
% 0.13/10.43 sQ0_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f83,plain,(
% 0.13/10.43 inverse(sk_c8)=sk_c7|~sQ0_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f82])).
% 0.13/10.43 fof(f84,plain,(
% 0.13/10.43 ~inverse(sk_c8)=sk_c7|sQ0_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f82])).
% 0.13/10.43 fof(f85,definition,(
% 0.13/10.43 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f86,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f85])).
% 0.13/10.43 fof(f87,plain,(
% 0.13/10.43 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f85])).
% 0.13/10.43 fof(f89,definition,(
% 0.13/10.43 sQ2_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f90,plain,(
% 0.13/10.43 multiply(sk_c3,sk_c8)=sk_c7|~sQ2_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f89])).
% 0.13/10.43 fof(f92,plain,(
% 0.13/10.43 sQ0_spl|sQ2_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.13/10.43 fof(f93,definition,(
% 0.13/10.43 sQ3_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f94,plain,(
% 0.13/10.43 inverse(sk_c3)=sk_c8|~sQ3_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f93])).
% 0.13/10.43 fof(f96,plain,(
% 0.13/10.43 sQ0_spl|sQ3_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.13/10.43 fof(f97,definition,(
% 0.13/10.43 sQ4_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f98,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c5)=sk_c7|~sQ4_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f97])).
% 0.13/10.43 fof(f100,plain,(
% 0.13/10.43 sQ0_spl|sQ4_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.13/10.43 fof(f101,definition,(
% 0.13/10.43 sQ5_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f102,plain,(
% 0.13/10.43 multiply(sk_c4,sk_c8)=sk_c5|~sQ5_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f101])).
% 0.13/10.43 fof(f104,plain,(
% 0.13/10.43 sQ0_spl|sQ5_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.13/10.43 fof(f105,definition,(
% 0.13/10.43 sQ6_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f106,plain,(
% 0.13/10.43 inverse(sk_c4)=sk_c8|~sQ6_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f105])).
% 0.13/10.43 fof(f108,plain,(
% 0.13/10.43 sQ0_spl|sQ6_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.13/10.43 fof(f109,definition,(
% 0.13/10.43 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f110,plain,(
% 0.13/10.43 multiply(sk_c1,sk_c8)=sk_c7|~sQ7_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f109])).
% 0.13/10.43 fof(f112,plain,(
% 0.13/10.43 sQ7_spl|sQ1_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.13/10.43 fof(f113,plain,(
% 0.13/10.43 sQ7_spl|sQ2_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.13/10.43 fof(f114,plain,(
% 0.13/10.43 sQ7_spl|sQ3_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.13/10.43 fof(f115,plain,(
% 0.13/10.43 sQ7_spl|sQ4_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.13/10.43 fof(f116,plain,(
% 0.13/10.43 sQ7_spl|sQ5_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.13/10.43 fof(f117,plain,(
% 0.13/10.43 sQ7_spl|sQ6_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.13/10.43 fof(f118,definition,(
% 0.13/10.43 sQ8_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f119,plain,(
% 0.13/10.43 inverse(sk_c1)=sk_c8|~sQ8_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f118])).
% 0.13/10.43 fof(f121,plain,(
% 0.13/10.43 sQ8_spl|sQ1_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.13/10.43 fof(f122,plain,(
% 0.13/10.43 sQ8_spl|sQ2_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.13/10.43 fof(f123,plain,(
% 0.13/10.43 sQ8_spl|sQ3_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.13/10.43 fof(f124,plain,(
% 0.13/10.43 sQ8_spl|sQ4_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.13/10.43 fof(f125,plain,(
% 0.13/10.43 sQ8_spl|sQ5_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.13/10.43 fof(f126,plain,(
% 0.13/10.43 sQ8_spl|sQ6_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.13/10.43 fof(f127,definition,(
% 0.13/10.43 sQ9_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f128,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c6)=sk_c7|~sQ9_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f127])).
% 0.13/10.43 fof(f129,plain,(
% 0.13/10.43 ~multiply(sk_c8,sk_c6)=sk_c7|sQ9_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f127])).
% 0.13/10.43 fof(f130,plain,(
% 0.13/10.43 sQ9_spl|sQ1_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.13/10.43 fof(f131,plain,(
% 0.13/10.43 sQ9_spl|sQ2_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.13/10.43 fof(f132,plain,(
% 0.13/10.43 sQ9_spl|sQ3_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.13/10.43 fof(f133,plain,(
% 0.13/10.43 sQ9_spl|sQ4_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.13/10.43 fof(f134,plain,(
% 0.13/10.43 sQ9_spl|sQ5_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.13/10.43 fof(f135,plain,(
% 0.13/10.43 sQ9_spl|sQ6_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.13/10.43 fof(f136,definition,(
% 0.13/10.43 sQ10_spl <=> (multiply(sk_c2,sk_c7)=sk_c6)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f137,plain,(
% 0.13/10.43 multiply(sk_c2,sk_c7)=sk_c6|~sQ10_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f136])).
% 0.13/10.43 fof(f139,plain,(
% 0.13/10.43 sQ10_spl|sQ1_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.13/10.43 fof(f140,plain,(
% 0.13/10.43 sQ10_spl|sQ2_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.13/10.43 fof(f141,plain,(
% 0.13/10.43 sQ10_spl|sQ3_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.13/10.43 fof(f142,plain,(
% 0.13/10.43 sQ10_spl|sQ4_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.13/10.43 fof(f143,plain,(
% 0.13/10.43 sQ10_spl|sQ5_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.13/10.43 fof(f144,plain,(
% 0.13/10.43 sQ10_spl|sQ6_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.13/10.43 fof(f145,definition,(
% 0.13/10.43 sQ11_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f146,plain,(
% 0.13/10.43 inverse(sk_c2)=sk_c7|~sQ11_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f145])).
% 0.13/10.43 fof(f148,plain,(
% 0.13/10.43 sQ11_spl|sQ1_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.13/10.43 fof(f149,plain,(
% 0.13/10.43 sQ11_spl|sQ2_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.13/10.43 fof(f150,plain,(
% 0.13/10.43 sQ11_spl|sQ3_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.13/10.43 fof(f151,plain,(
% 0.13/10.43 sQ11_spl|sQ4_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.13/10.43 fof(f152,plain,(
% 0.13/10.43 sQ11_spl|sQ5_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.13/10.43 fof(f153,plain,(
% 0.13/10.43 sQ11_spl|sQ6_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.13/10.43 fof(f154,definition,(
% 0.13/10.43 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f155,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.13/10.43 inference(component_clause,[status(thm)],[f154])).
% 0.13/10.43 fof(f157,definition,(
% 0.13/10.43 ![X1]: (sQ13_spl <=> (~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7))),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f158,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.13/10.43 inference(component_clause,[status(thm)],[f157])).
% 0.13/10.43 fof(f160,definition,(
% 0.13/10.43 ![X3,X4]: (sQ14_spl <=> (~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8))),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f161,plain,(
% 0.13/10.43 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ14_spl)),
% 0.13/10.43 inference(component_clause,[status(thm)],[f160])).
% 0.13/10.43 fof(f163,plain,(
% 0.13/10.43 ~sQ0_spl|sQ12_spl|~sQ9_spl|sQ13_spl|~sQ1_spl|sQ14_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f81,f82,f154,f127,f157,f85,f160])).
% 0.13/10.43 fof(f164,plain,(
% 0.13/10.43 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.13/10.43 inference(destructive_equality_resolution,[status(thm)],[f161])).
% 0.13/10.43 fof(f191,plain,(
% 0.13/10.43 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ14_spl|~sQ7_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f110,f164])).
% 0.13/10.43 fof(f192,plain,(
% 0.13/10.43 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f90,f164])).
% 0.13/10.43 fof(f193,plain,(
% 0.13/10.43 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ5_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f102,f164])).
% 0.13/10.43 fof(f194,definition,(
% 0.13/10.43 sQ15_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f196,plain,(
% 0.13/10.43 ~multiply(sk_c8,sk_c7)=sk_c7|sQ15_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f194])).
% 0.13/10.43 fof(f197,plain,(
% 0.13/10.43 ~sQ15_spl|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f191,f194,f118,f160,f109])).
% 0.13/10.43 fof(f198,plain,(
% 0.13/10.43 ~sQ15_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f192,f194,f93,f160,f89])).
% 0.13/10.43 fof(f199,plain,(
% 0.13/10.43 ~sQ4_spl|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f193,f97,f105,f160,f101])).
% 0.13/10.43 fof(f200,plain,(
% 0.13/10.43 ~inverse(sk_c2)=sk_c7|~sQ13_spl|~sQ10_spl),
% 0.13/10.43 inference(resolution,[status(thm)],[f158,f137])).
% 0.13/10.43 fof(f203,plain,(
% 0.13/10.43 ~sk_c7=sk_c7|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f146,f200])).
% 0.13/10.43 fof(f204,plain,(
% 0.13/10.43 $false|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.13/10.43 inference(trivial_equality_resolution,[status(thm)],[f203])).
% 0.13/10.43 fof(f205,plain,(
% 0.13/10.43 ~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f204])).
% 0.13/10.43 fof(f208,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c4)=identity|~sQ6_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f106,f42])).
% 0.13/10.43 fof(f210,plain,(
% 0.13/10.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.13/10.43 fof(f211,plain,(
% 0.13/10.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f41,f210])).
% 0.13/10.43 fof(f212,plain,(
% 0.13/10.43 ~sk_c6=sk_c7|~sQ1_spl|sQ15_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f86,f196])).
% 0.13/10.43 fof(f226,plain,(
% 0.13/10.43 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ2_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f90,f211])).
% 0.13/10.43 fof(f235,plain,(
% 0.13/10.43 sk_c8=multiply(inverse(sk_c4),sk_c5)|~sQ5_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f102,f211])).
% 0.13/10.43 fof(f237,plain,(
% 0.13/10.43 sk_c8=multiply(sk_c8,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f94,f226])).
% 0.13/10.43 fof(f238,plain,(
% 0.13/10.43 sk_c8=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f86,f237])).
% 0.13/10.43 fof(f239,plain,(
% 0.13/10.43 sk_c8=multiply(sk_c8,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f106,f235])).
% 0.13/10.43 fof(f240,plain,(
% 0.13/10.43 sk_c8=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f98,f239])).
% 0.13/10.43 fof(f242,plain,(
% 0.13/10.43 multiply(sk_c6,sk_c4)=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f238,f208])).
% 0.13/10.43 fof(f245,plain,(
% 0.13/10.43 multiply(sk_c3,sk_c6)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f238,f90])).
% 0.13/10.43 fof(f246,plain,(
% 0.13/10.43 multiply(sk_c6,sk_c7)=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f238,f86])).
% 0.13/10.43 fof(f247,plain,(
% 0.13/10.43 inverse(sk_c3)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f238,f94])).
% 0.13/10.43 fof(f249,plain,(
% 0.13/10.43 inverse(sk_c4)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f238,f106])).
% 0.13/10.43 fof(f250,plain,(
% 0.13/10.43 sk_c6=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f238,f240])).
% 0.13/10.43 fof(f254,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ12_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f238,f155])).
% 0.13/10.43 fof(f255,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ12_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f238,f254])).
% 0.13/10.43 fof(f282,plain,(
% 0.13/10.43 ~sk_c7=sk_c7|~inverse(sk_c3)=sk_c6|~sQ12_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f245,f255])).
% 0.13/10.43 fof(f285,definition,(
% 0.13/10.43 sQ20_spl <=> (sk_c7=sk_c7)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f287,plain,(
% 0.13/10.43 ~sk_c7=sk_c7|sQ20_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f285])).
% 0.13/10.43 fof(f288,definition,(
% 0.13/10.43 sQ21_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.13/10.43 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/10.43 fof(f290,plain,(
% 0.13/10.43 ~inverse(sk_c3)=sk_c6|sQ21_spl),
% 0.13/10.43 inference(component_clause,[status(thm)],[f288])).
% 0.13/10.43 fof(f291,plain,(
% 0.13/10.43 ~sQ20_spl|~sQ21_spl|~sQ12_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/10.43 inference(split_clause,[status(thm)],[f282,f285,f288,f154,f85,f93,f89])).
% 0.13/10.43 fof(f292,plain,(
% 0.13/10.43 $false|sQ20_spl),
% 0.13/10.43 inference(trivial_equality_resolution,[status(thm)],[f287])).
% 0.13/10.43 fof(f293,plain,(
% 0.13/10.43 sQ20_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f292])).
% 0.13/10.43 fof(f294,plain,(
% 0.13/10.43 ~multiply(sk_c6,sk_c6)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f238,f129])).
% 0.13/10.43 fof(f308,plain,(
% 0.13/10.43 multiply(sk_c6,sk_c6)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f250,f246])).
% 0.13/10.43 fof(f309,plain,(
% 0.13/10.43 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f308,f211])).
% 0.13/10.43 fof(f311,plain,(
% 0.13/10.43 sk_c6=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f42,f309])).
% 0.13/10.43 fof(f315,plain,(
% 0.13/10.43 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f311,f42])).
% 0.13/10.43 fof(f316,plain,(
% 0.13/10.43 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f311,f41])).
% 0.13/10.43 fof(f321,plain,(
% 0.13/10.43 ~inverse(sk_c6)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f238,f84])).
% 0.13/10.43 fof(f322,plain,(
% 0.13/10.43 ~inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f250,f321])).
% 0.13/10.43 fof(f332,plain,(
% 0.13/10.43 sk_c6=sk_c4|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f333,f311])).
% 0.13/10.43 fof(f333,plain,(
% 0.13/10.43 sk_c4=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f316,f242])).
% 0.13/10.43 fof(f335,plain,(
% 0.13/10.43 ~inverse(sk_c6)=sk_c4|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f332,f322])).
% 0.13/10.43 fof(f336,plain,(
% 0.13/10.43 ![X0]: (multiply(sk_c4,X0)=X0|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f332,f316])).
% 0.13/10.43 fof(f338,plain,(
% 0.13/10.43 inverse(sk_c4)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f332,f249])).
% 0.13/10.43 fof(f340,plain,(
% 0.13/10.43 sk_c4=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f332,f250])).
% 0.13/10.43 fof(f342,plain,(
% 0.13/10.43 ~inverse(sk_c4)=sk_c4|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f332,f335])).
% 0.13/10.43 fof(f355,plain,(
% 0.13/10.43 $false|sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/10.43 inference(forward_subsumption_resolution,[status(thm)],[f338,f342])).
% 0.13/10.43 fof(f356,plain,(
% 0.13/10.43 sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f355])).
% 0.13/10.43 fof(f359,plain,(
% 0.13/10.43 ~multiply(sk_c4,sk_c6)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f332,f294])).
% 0.13/10.43 fof(f360,plain,(
% 0.13/10.43 ~sk_c6=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f336,f359])).
% 0.13/10.43 fof(f361,plain,(
% 0.13/10.43 ~sk_c4=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f332,f360])).
% 0.13/10.43 fof(f362,plain,(
% 0.13/10.43 ~sk_c4=sk_c4|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f340,f361])).
% 0.13/10.43 fof(f363,plain,(
% 0.13/10.43 $false|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.13/10.43 inference(trivial_equality_resolution,[status(thm)],[f362])).
% 0.13/10.43 fof(f364,plain,(
% 0.13/10.43 ~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f363])).
% 0.13/10.43 fof(f379,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c4)=sk_c6|~inverse(X0)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f340,f158])).
% 0.13/10.43 fof(f380,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f332,f379])).
% 0.13/10.43 fof(f381,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f340,f380])).
% 0.13/10.43 fof(f411,plain,(
% 0.13/10.43 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f332,f315])).
% 0.13/10.43 fof(f424,plain,(
% 0.13/10.43 ~inverse(inverse(sk_c4))=sk_c4|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(resolution,[status(thm)],[f381,f411])).
% 0.13/10.43 fof(f429,plain,(
% 0.13/10.43 ~inverse(sk_c4)=sk_c4|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f338,f424])).
% 0.13/10.43 fof(f430,plain,(
% 0.13/10.43 ~sk_c4=sk_c4|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f338,f429])).
% 0.13/10.43 fof(f431,plain,(
% 0.13/10.43 $false|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(trivial_equality_resolution,[status(thm)],[f430])).
% 0.13/10.43 fof(f432,plain,(
% 0.13/10.43 ~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f431])).
% 0.13/10.43 fof(f434,plain,(
% 0.13/10.43 $false|sQ21_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/10.43 inference(forward_subsumption_resolution,[status(thm)],[f247,f290])).
% 0.13/10.43 fof(f435,plain,(
% 0.13/10.43 sQ21_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f434])).
% 0.13/10.43 fof(f439,plain,(
% 0.13/10.43 sk_c7=multiply(inverse(sk_c2),sk_c6)|~sQ10_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f137,f211])).
% 0.13/10.43 fof(f441,plain,(
% 0.13/10.43 sk_c7=multiply(sk_c7,sk_c6)|~sQ11_spl|~sQ10_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f146,f439])).
% 0.13/10.43 fof(f445,plain,(
% 0.13/10.43 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ7_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f110,f211])).
% 0.13/10.43 fof(f447,plain,(
% 0.13/10.43 sk_c8=multiply(sk_c8,sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f119,f445])).
% 0.13/10.43 fof(f470,plain,(
% 0.13/10.43 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ11_spl|~sQ10_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f441,f211])).
% 0.13/10.43 fof(f472,plain,(
% 0.13/10.43 sk_c6=identity|~sQ11_spl|~sQ10_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f42,f470])).
% 0.13/10.43 fof(f474,plain,(
% 0.13/10.43 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ11_spl|~sQ10_spl)),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f472,f42])).
% 0.13/10.43 fof(f476,plain,(
% 0.13/10.43 ![X0]: (multiply(sk_c6,X0)=X0|~sQ11_spl|~sQ10_spl)),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f472,f41])).
% 0.13/10.43 fof(f482,plain,(
% 0.13/10.43 multiply(sk_c6,sk_c7)=sk_c6|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f489,f86])).
% 0.13/10.43 fof(f487,plain,(
% 0.13/10.43 inverse(sk_c6)=sk_c7|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f489,f83])).
% 0.13/10.43 fof(f489,plain,(
% 0.13/10.43 sk_c8=sk_c6|~sQ1_spl|~sQ8_spl|~sQ7_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f86,f447])).
% 0.13/10.43 fof(f490,plain,(
% 0.13/10.43 sk_c7=sk_c6|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f476,f482])).
% 0.13/10.43 fof(f498,plain,(
% 0.13/10.43 inverse(sk_c6)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f490,f487])).
% 0.13/10.43 fof(f501,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c8|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f489,f155])).
% 0.13/10.43 fof(f502,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c8|~sQ11_spl|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f490,f501])).
% 0.13/10.43 fof(f503,plain,(
% 0.13/10.43 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f489,f502])).
% 0.13/10.43 fof(f504,plain,(
% 0.13/10.43 ~inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.13/10.43 inference(resolution,[status(thm)],[f503,f476])).
% 0.13/10.43 fof(f507,plain,(
% 0.13/10.43 ~sk_c6=sk_c6|~sQ0_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f498,f504])).
% 0.13/10.43 fof(f508,plain,(
% 0.13/10.43 $false|~sQ0_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.13/10.43 inference(trivial_equality_resolution,[status(thm)],[f507])).
% 0.13/10.43 fof(f509,plain,(
% 0.13/10.43 ~sQ0_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f508])).
% 0.13/10.43 fof(f527,plain,(
% 0.13/10.43 ~sk_c6=sk_c6|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl|sQ15_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f490,f212])).
% 0.13/10.43 fof(f528,plain,(
% 0.13/10.43 $false|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl|sQ15_spl),
% 0.13/10.43 inference(trivial_equality_resolution,[status(thm)],[f527])).
% 0.13/10.43 fof(f529,plain,(
% 0.13/10.43 ~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl|sQ15_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f528])).
% 0.13/10.43 fof(f574,plain,(
% 0.13/10.43 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.13/10.43 inference(paramodulation,[status(thm)],[f447,f211])).
% 0.13/10.43 fof(f576,plain,(
% 0.13/10.43 sk_c7=sk_c6|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f474,f574])).
% 0.13/10.43 fof(f578,plain,(
% 0.13/10.43 multiply(sk_c8,sk_c6)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/10.43 inference(backward_demodulation,[status(thm)],[f576,f128])).
% 0.13/10.43 fof(f591,plain,(
% 0.13/10.43 ~multiply(sk_c8,sk_c6)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.13/10.43 inference(forward_demodulation,[status(thm)],[f576,f87])).
% 0.13/10.43 fof(f592,plain,(
% 0.13/10.43 $false|sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/10.43 inference(forward_subsumption_resolution,[status(thm)],[f578,f591])).
% 0.13/10.43 fof(f593,plain,(
% 0.13/10.43 sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/10.43 inference(contradiction_clause,[status(thm)],[f592])).
% 0.13/10.43 fof(f594,plain,(
% 0.13/10.43 $false),
% 0.13/10.43 inference(sat_refutation,[status(thm)],[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,f163,f197,f198,f199,f205,f291,f293,f356,f364,f432,f435,f509,f529,f593])).
% 0.13/10.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.47 % Elapsed time: 0.061089 seconds
% 0.13/10.47 % CPU time: 0.173031 seconds
% 0.13/10.47 % Total memory used: 103.261 MB
% 0.13/10.47 % Net memory used: 103.139 MB
%------------------------------------------------------------------------------