%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP241-1 : 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 : n007.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 12:36:18 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP241-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n007.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 20:05:05 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.38 % Drodi V4.1.1
% 0.07/0.40 % Refutation found
% 0.07/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.40 fof(f1,axiom,(
% 0.07/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f2,axiom,(
% 0.07/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f3,axiom,(
% 0.07/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f4,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f5,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f6,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f7,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f8,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f11,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f12,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f13,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f14,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f15,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f16,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f17,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f18,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f19,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f20,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f21,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f22,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f23,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f24,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f25,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f26,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f27,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f28,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f29,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f30,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f31,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f32,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f33,negated_conjecture,(
% 0.07/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f34,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f35,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f36,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f37,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f38,negated_conjecture,(
% 0.07/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f39,negated_conjecture,(
% 0.07/0.40 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| inverse(sk_c7) != sk_c8| multiply(X4,sk_c7) != sk_c8| inverse(X4) != sk_c7| multiply(sk_c8,X5) != sk_c7| multiply(X6,sk_c8) != X5| inverse(X6) != sk_c8| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f40,plain,(
% 0.07/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/0.40 fof(f41,plain,(
% 0.07/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.40 fof(f42,plain,(
% 0.07/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.07/0.40 fof(f43,plain,(
% 0.07/0.40 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.07/0.40 fof(f44,plain,(
% 0.07/0.40 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/0.40 fof(f45,plain,(
% 0.07/0.40 inverse(sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/0.40 fof(f46,plain,(
% 0.07/0.40 inverse(sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.07/0.40 fof(f47,plain,(
% 0.07/0.40 inverse(sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.07/0.40 fof(f50,plain,(
% 0.07/0.40 inverse(sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.07/0.40 fof(f51,plain,(
% 0.07/0.40 inverse(sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.40 fof(f52,plain,(
% 0.07/0.40 inverse(sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.07/0.40 fof(f53,plain,(
% 0.07/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.07/0.40 fof(f54,plain,(
% 0.07/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.07/0.40 fof(f55,plain,(
% 0.07/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.07/0.40 fof(f56,plain,(
% 0.07/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.07/0.40 fof(f57,plain,(
% 0.07/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.07/0.40 fof(f58,plain,(
% 0.07/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/0.40 fof(f59,plain,(
% 0.07/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.07/0.40 fof(f60,plain,(
% 0.07/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.07/0.40 fof(f61,plain,(
% 0.07/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.07/0.40 fof(f62,plain,(
% 0.07/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.07/0.40 fof(f63,plain,(
% 0.07/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.07/0.40 fof(f64,plain,(
% 0.07/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.07/0.40 fof(f65,plain,(
% 0.07/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.07/0.40 fof(f66,plain,(
% 0.07/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.07/0.40 fof(f67,plain,(
% 0.07/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.07/0.40 fof(f68,plain,(
% 0.07/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.07/0.40 fof(f69,plain,(
% 0.07/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.07/0.40 fof(f70,plain,(
% 0.07/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.07/0.40 fof(f71,plain,(
% 0.07/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.07/0.40 fof(f72,plain,(
% 0.07/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.07/0.40 fof(f73,plain,(
% 0.07/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.07/0.40 fof(f74,plain,(
% 0.07/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.07/0.40 fof(f75,plain,(
% 0.07/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.07/0.40 fof(f76,plain,(
% 0.07/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.07/0.40 fof(f77,plain,(
% 0.07/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.07/0.40 fof(f78,plain,(
% 0.07/0.40 ![X3]: ((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: (((~inverse(sk_c8)=sk_c7|~inverse(sk_c7)=sk_c8)|~multiply(X4,sk_c7)=sk_c8)|~inverse(X4)=sk_c7))|~multiply(sk_c8,X5)=sk_c7)|~multiply(X6,sk_c8)=X5))|~inverse(X6)=sk_c8))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.07/0.40 inference(miniscoping,[status(thm)],[f39])).
% 0.07/0.40 fof(f79,plain,(
% 0.07/0.40 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~inverse(sk_c7)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f78])).
% 0.07/0.40 fof(f80,definition,(
% 0.07/0.40 sQ0_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f81,plain,(
% 0.07/0.40 inverse(sk_c8)=sk_c7|~sQ0_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f80])).
% 0.07/0.40 fof(f82,plain,(
% 0.07/0.40 ~inverse(sk_c8)=sk_c7|sQ0_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f80])).
% 0.07/0.40 fof(f83,definition,(
% 0.07/0.40 sQ1_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f84,plain,(
% 0.07/0.40 inverse(sk_c4)=sk_c8|~sQ1_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.07/0.40 fof(f86,plain,(
% 0.07/0.40 sQ0_spl|sQ1_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f43,f80,f83])).
% 0.07/0.40 fof(f87,definition,(
% 0.07/0.40 sQ2_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f88,plain,(
% 0.07/0.40 multiply(sk_c4,sk_c7)=sk_c8|~sQ2_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f87])).
% 0.07/0.40 fof(f90,plain,(
% 0.07/0.40 sQ0_spl|sQ2_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f44,f80,f87])).
% 0.07/0.40 fof(f91,definition,(
% 0.07/0.40 sQ3_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f92,plain,(
% 0.07/0.40 multiply(sk_c8,sk_c6)=sk_c7|~sQ3_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f91])).
% 0.07/0.40 fof(f94,plain,(
% 0.07/0.40 sQ0_spl|sQ3_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f45,f80,f91])).
% 0.07/0.40 fof(f95,definition,(
% 0.07/0.40 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f96,plain,(
% 0.07/0.40 multiply(sk_c5,sk_c8)=sk_c6|~sQ4_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f95])).
% 0.07/0.40 fof(f98,plain,(
% 0.07/0.40 sQ0_spl|sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f46,f80,f95])).
% 0.07/0.40 fof(f99,definition,(
% 0.07/0.40 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f100,plain,(
% 0.07/0.40 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.07/0.40 fof(f102,plain,(
% 0.07/0.40 sQ0_spl|sQ5_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f47,f80,f99])).
% 0.07/0.40 fof(f103,definition,(
% 0.07/0.40 sQ6_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f105,plain,(
% 0.07/0.40 ~inverse(sk_c7)=sk_c8|sQ6_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.07/0.40 fof(f108,plain,(
% 0.07/0.40 sQ6_spl|sQ3_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f50,f103,f91])).
% 0.07/0.40 fof(f109,plain,(
% 0.07/0.40 sQ6_spl|sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f51,f103,f95])).
% 0.07/0.40 fof(f110,plain,(
% 0.07/0.40 sQ6_spl|sQ5_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f52,f103,f99])).
% 0.07/0.40 fof(f111,definition,(
% 0.07/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f112,plain,(
% 0.07/0.40 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f111])).
% 0.07/0.40 fof(f114,plain,(
% 0.07/0.40 sQ7_spl|sQ1_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f53,f111,f83])).
% 0.07/0.40 fof(f115,plain,(
% 0.07/0.40 sQ7_spl|sQ2_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f54,f111,f87])).
% 0.07/0.40 fof(f116,plain,(
% 0.07/0.40 sQ7_spl|sQ3_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f55,f111,f91])).
% 0.07/0.40 fof(f117,plain,(
% 0.07/0.40 sQ7_spl|sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f56,f111,f95])).
% 0.07/0.40 fof(f118,plain,(
% 0.07/0.40 sQ7_spl|sQ5_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f57,f111,f99])).
% 0.07/0.40 fof(f119,definition,(
% 0.07/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f120,plain,(
% 0.07/0.40 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f119])).
% 0.07/0.40 fof(f122,plain,(
% 0.07/0.40 sQ8_spl|sQ1_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f58,f119,f83])).
% 0.07/0.40 fof(f123,plain,(
% 0.07/0.40 sQ8_spl|sQ2_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f59,f119,f87])).
% 0.07/0.40 fof(f124,plain,(
% 0.07/0.40 sQ8_spl|sQ3_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f60,f119,f91])).
% 0.07/0.40 fof(f125,plain,(
% 0.07/0.40 sQ8_spl|sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f61,f119,f95])).
% 0.07/0.40 fof(f126,plain,(
% 0.07/0.40 sQ8_spl|sQ5_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f62,f119,f99])).
% 0.07/0.40 fof(f127,definition,(
% 0.07/0.40 sQ9_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f128,plain,(
% 0.07/0.40 multiply(sk_c8,sk_c3)=sk_c7|~sQ9_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f127])).
% 0.07/0.40 fof(f130,plain,(
% 0.07/0.40 sQ9_spl|sQ1_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f63,f127,f83])).
% 0.07/0.40 fof(f131,plain,(
% 0.07/0.40 sQ9_spl|sQ2_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f64,f127,f87])).
% 0.07/0.40 fof(f132,plain,(
% 0.07/0.40 sQ9_spl|sQ3_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f65,f127,f91])).
% 0.07/0.40 fof(f133,plain,(
% 0.07/0.40 sQ9_spl|sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f66,f127,f95])).
% 0.07/0.40 fof(f134,plain,(
% 0.07/0.40 sQ9_spl|sQ5_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f67,f127,f99])).
% 0.07/0.40 fof(f135,definition,(
% 0.07/0.40 sQ10_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f136,plain,(
% 0.07/0.40 multiply(sk_c2,sk_c8)=sk_c3|~sQ10_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f135])).
% 0.07/0.40 fof(f138,plain,(
% 0.07/0.40 sQ10_spl|sQ1_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f68,f135,f83])).
% 0.07/0.40 fof(f139,plain,(
% 0.07/0.40 sQ10_spl|sQ2_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f69,f135,f87])).
% 0.07/0.40 fof(f140,plain,(
% 0.07/0.40 sQ10_spl|sQ3_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f70,f135,f91])).
% 0.07/0.40 fof(f141,plain,(
% 0.07/0.40 sQ10_spl|sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f71,f135,f95])).
% 0.07/0.40 fof(f142,plain,(
% 0.07/0.40 sQ10_spl|sQ5_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f72,f135,f99])).
% 0.07/0.40 fof(f143,definition,(
% 0.07/0.40 sQ11_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f144,plain,(
% 0.07/0.40 inverse(sk_c2)=sk_c8|~sQ11_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f143])).
% 0.07/0.40 fof(f146,plain,(
% 0.07/0.40 sQ11_spl|sQ1_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f73,f143,f83])).
% 0.07/0.40 fof(f147,plain,(
% 0.07/0.40 sQ11_spl|sQ2_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f74,f143,f87])).
% 0.07/0.40 fof(f148,plain,(
% 0.07/0.40 sQ11_spl|sQ3_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f75,f143,f91])).
% 0.07/0.40 fof(f149,plain,(
% 0.07/0.40 sQ11_spl|sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f76,f143,f95])).
% 0.07/0.40 fof(f150,plain,(
% 0.07/0.40 sQ11_spl|sQ5_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f77,f143,f99])).
% 0.07/0.40 fof(f151,definition,(
% 0.07/0.40 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f152,plain,(
% 0.07/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.07/0.40 inference(component_clause,[status(thm)],[f151])).
% 0.07/0.40 fof(f154,definition,(
% 0.07/0.40 ![X1,X2]: (sQ13_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f155,plain,(
% 0.07/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.07/0.40 inference(component_clause,[status(thm)],[f154])).
% 0.07/0.40 fof(f157,definition,(
% 0.07/0.40 ![X3]: (sQ14_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f158,plain,(
% 0.07/0.40 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ14_spl)),
% 0.07/0.40 inference(component_clause,[status(thm)],[f157])).
% 0.07/0.40 fof(f160,plain,(
% 0.07/0.40 ~sQ0_spl|~sQ6_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f79,f80,f103,f151,f154,f157])).
% 0.07/0.40 fof(f161,plain,(
% 0.07/0.40 ~inverse(sk_c1)=sk_c8|~sQ14_spl|~sQ7_spl),
% 0.07/0.40 inference(resolution,[status(thm)],[f158,f112])).
% 0.07/0.40 fof(f162,plain,(
% 0.07/0.40 ~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.07/0.40 inference(resolution,[status(thm)],[f158,f88])).
% 0.07/0.40 fof(f165,plain,(
% 0.07/0.40 ~sk_c7=sk_c8|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f120,f161])).
% 0.07/0.40 fof(f166,plain,(
% 0.07/0.40 ~sk_c8=sk_c8|~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f84,f162])).
% 0.07/0.40 fof(f167,plain,(
% 0.07/0.40 $false|~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.07/0.40 inference(trivial_equality_resolution,[status(thm)],[f166])).
% 0.07/0.40 fof(f168,plain,(
% 0.07/0.40 ~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.07/0.40 inference(contradiction_clause,[status(thm)],[f167])).
% 0.07/0.40 fof(f169,plain,(
% 0.07/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.07/0.40 inference(destructive_equality_resolution,[status(thm)],[f155])).
% 0.07/0.40 fof(f176,plain,(
% 0.07/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~sQ4_spl)),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f96,f42])).
% 0.07/0.40 fof(f183,plain,(
% 0.07/0.40 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ10_spl),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f136,f169])).
% 0.07/0.40 fof(f184,plain,(
% 0.07/0.40 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ4_spl),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f96,f169])).
% 0.07/0.40 fof(f185,plain,(
% 0.07/0.40 ~sQ9_spl|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f183,f127,f143,f154,f135])).
% 0.07/0.40 fof(f186,plain,(
% 0.07/0.40 ~sQ3_spl|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f184,f91,f99,f154,f95])).
% 0.07/0.40 fof(f187,plain,(
% 0.07/0.40 ~inverse(sk_c1)=sk_c7|~sQ12_spl|~sQ7_spl),
% 0.07/0.40 inference(resolution,[status(thm)],[f152,f112])).
% 0.07/0.40 fof(f188,plain,(
% 0.07/0.40 ~inverse(sk_c4)=sk_c7|~sQ12_spl|~sQ2_spl),
% 0.07/0.40 inference(resolution,[status(thm)],[f152,f88])).
% 0.07/0.40 fof(f192,plain,(
% 0.07/0.40 ~sk_c7=sk_c7|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f120,f187])).
% 0.07/0.40 fof(f193,plain,(
% 0.07/0.40 $false|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.07/0.40 inference(trivial_equality_resolution,[status(thm)],[f192])).
% 0.07/0.40 fof(f194,plain,(
% 0.07/0.40 ~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.07/0.40 inference(contradiction_clause,[status(thm)],[f193])).
% 0.07/0.40 fof(f198,definition,(
% 0.07/0.40 sQ16_spl <=> (sk_c8=sk_c8)),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f200,plain,(
% 0.07/0.40 ~sk_c8=sk_c8|sQ16_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f198])).
% 0.07/0.40 fof(f209,plain,(
% 0.07/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f41,f42])).
% 0.07/0.40 fof(f210,plain,(
% 0.07/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f40,f209])).
% 0.07/0.40 fof(f232,plain,(
% 0.07/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f40,f210])).
% 0.07/0.40 fof(f236,plain,(
% 0.07/0.40 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f136,f210])).
% 0.07/0.40 fof(f241,plain,(
% 0.07/0.40 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ4_spl),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f96,f210])).
% 0.07/0.40 fof(f247,plain,(
% 0.07/0.40 sk_c8=multiply(sk_c8,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f144,f236])).
% 0.07/0.40 fof(f248,plain,(
% 0.07/0.40 sk_c8=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f128,f247])).
% 0.07/0.40 fof(f249,plain,(
% 0.07/0.40 $false|~sQ8_spl|~sQ14_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.07/0.40 inference(forward_subsumption_resolution,[status(thm)],[f248,f165])).
% 0.07/0.40 fof(f250,plain,(
% 0.07/0.40 ~sQ8_spl|~sQ14_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.07/0.40 inference(contradiction_clause,[status(thm)],[f249])).
% 0.07/0.40 fof(f252,plain,(
% 0.07/0.40 sk_c8=multiply(sk_c8,sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f100,f241])).
% 0.07/0.40 fof(f254,plain,(
% 0.07/0.40 $false|sQ16_spl),
% 0.07/0.40 inference(trivial_equality_resolution,[status(thm)],[f200])).
% 0.07/0.40 fof(f255,plain,(
% 0.07/0.40 sQ16_spl),
% 0.07/0.40 inference(contradiction_clause,[status(thm)],[f254])).
% 0.07/0.40 fof(f262,plain,(
% 0.07/0.40 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f232,f210])).
% 0.07/0.40 fof(f264,plain,(
% 0.07/0.40 sk_c6=multiply(inverse(sk_c8),sk_c7)|~sQ3_spl),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f92,f210])).
% 0.07/0.40 fof(f267,plain,(
% 0.07/0.40 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ2_spl),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f88,f210])).
% 0.07/0.40 fof(f269,plain,(
% 0.07/0.40 sk_c7=multiply(sk_c8,sk_c8)|~sQ1_spl|~sQ2_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f84,f267])).
% 0.07/0.40 fof(f273,plain,(
% 0.07/0.40 sk_c8=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f92,f252])).
% 0.07/0.40 fof(f278,plain,(
% 0.07/0.40 ~inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ6_spl),
% 0.07/0.40 inference(backward_demodulation,[status(thm)],[f273,f105])).
% 0.07/0.40 fof(f279,plain,(
% 0.07/0.40 inverse(sk_c4)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.07/0.40 inference(backward_demodulation,[status(thm)],[f273,f84])).
% 0.07/0.40 fof(f282,plain,(
% 0.07/0.40 inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.07/0.40 inference(backward_demodulation,[status(thm)],[f273,f81])).
% 0.07/0.40 fof(f283,plain,(
% 0.07/0.40 multiply(sk_c5,sk_c7)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.07/0.40 inference(backward_demodulation,[status(thm)],[f273,f96])).
% 0.07/0.40 fof(f289,plain,(
% 0.07/0.40 $false|sQ6_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.07/0.40 inference(forward_subsumption_resolution,[status(thm)],[f282,f278])).
% 0.07/0.40 fof(f290,plain,(
% 0.07/0.40 sQ6_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.07/0.40 inference(contradiction_clause,[status(thm)],[f289])).
% 0.07/0.40 fof(f296,plain,(
% 0.07/0.40 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f273,f264])).
% 0.07/0.40 fof(f297,plain,(
% 0.07/0.40 sk_c6=identity|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f41,f296])).
% 0.07/0.40 fof(f299,plain,(
% 0.07/0.40 ~inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f273,f82])).
% 0.07/0.40 fof(f301,plain,(
% 0.07/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.07/0.40 inference(backward_demodulation,[status(thm)],[f297,f41])).
% 0.07/0.40 fof(f302,plain,(
% 0.07/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.07/0.40 inference(backward_demodulation,[status(thm)],[f297,f40])).
% 0.07/0.40 fof(f322,plain,(
% 0.07/0.40 ~sk_c7=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f279,f188])).
% 0.07/0.40 fof(f323,plain,(
% 0.07/0.40 $false|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.07/0.40 inference(trivial_equality_resolution,[status(thm)],[f322])).
% 0.07/0.40 fof(f324,plain,(
% 0.07/0.40 ~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.07/0.40 inference(contradiction_clause,[status(thm)],[f323])).
% 0.07/0.40 fof(f338,plain,(
% 0.07/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f273,f269])).
% 0.07/0.40 fof(f339,plain,(
% 0.07/0.40 sk_c7=multiply(sk_c7,sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f273,f338])).
% 0.07/0.40 fof(f375,plain,(
% 0.07/0.40 ![X0]: (X0=multiply(inverse(inverse(sk_c6)),X0)|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f297,f262])).
% 0.07/0.40 fof(f378,plain,(
% 0.07/0.40 inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f301,f375])).
% 0.07/0.40 fof(f392,plain,(
% 0.07/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c8,X0))|~sQ5_spl|~sQ3_spl|~sQ4_spl)),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f302,f176])).
% 0.07/0.40 fof(f393,plain,(
% 0.07/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c7,X0))|~sQ5_spl|~sQ3_spl|~sQ4_spl)),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f273,f392])).
% 0.07/0.40 fof(f397,plain,(
% 0.07/0.40 sk_c7=multiply(sk_c5,sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.07/0.40 inference(paramodulation,[status(thm)],[f339,f393])).
% 0.07/0.40 fof(f403,plain,(
% 0.07/0.40 sk_c7=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f283,f397])).
% 0.07/0.40 fof(f434,plain,(
% 0.07/0.40 ~inverse(sk_c7)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.07/0.40 inference(backward_demodulation,[status(thm)],[f403,f299])).
% 0.07/0.40 fof(f451,plain,(
% 0.07/0.40 ~inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f403,f434])).
% 0.07/0.40 fof(f452,plain,(
% 0.07/0.40 ~sk_c6=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.07/0.40 inference(forward_demodulation,[status(thm)],[f378,f451])).
% 0.07/0.40 fof(f453,plain,(
% 0.07/0.40 $false|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.07/0.40 inference(trivial_equality_resolution,[status(thm)],[f452])).
% 0.07/0.40 fof(f454,plain,(
% 0.07/0.40 ~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.07/0.40 inference(contradiction_clause,[status(thm)],[f453])).
% 0.07/0.40 fof(f455,plain,(
% 0.07/0.40 $false),
% 0.07/0.40 inference(sat_refutation,[status(thm)],[f86,f90,f94,f98,f102,f108,f109,f110,f114,f115,f116,f117,f118,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f138,f139,f140,f141,f142,f146,f147,f148,f149,f150,f160,f168,f185,f186,f194,f250,f255,f290,f324,f454])).
% 0.07/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.44 % Elapsed time: 0.079961 seconds
% 0.07/0.44 % CPU time: 0.134751 seconds
% 0.07/0.44 % Total memory used: 16.721 MB
% 0.07/0.44 % Net memory used: 16.685 MB
%------------------------------------------------------------------------------