TSTP Solution File: GRP257-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP257-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:53 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP257-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 00:24:44 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f1,axiom,(
% 0.19/0.48 (![X]: (multiply(identity,X) = X ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f2,axiom,(
% 0.19/0.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f3,axiom,(
% 0.19/0.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f4,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f5,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f11,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f12,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f18,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f19,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f20,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f21,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f22,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f23,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f24,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c8 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f25,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f26,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f27,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f28,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f29,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f30,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f31,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f32,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c3) = sk_c8| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f33,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c3) = sk_c8| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f34,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f35,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f36,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c3) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f37,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c3) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f38,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c3) = sk_c8| inverse(sk_c6) = sk_c8 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f39,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f40,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c3,sk_c9) = sk_c8| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f41,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f42,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c3,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f43,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f44,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f45,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c3,sk_c9) = sk_c8| inverse(sk_c6) = sk_c8 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f46,negated_conjecture,(
% 0.19/0.48 (![X4,X5,X6,X1,X2,X3,X7]: (( multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X5,sk_c9) != sk_c8| inverse(X5) != sk_c9| inverse(X6) != sk_c8| multiply(X6,sk_c9) != sk_c8| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(sk_c8,X3) != sk_c9| multiply(X7,sk_c8) != X3| inverse(X7) != sk_c8 ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f47,plain,(
% 0.19/0.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.48 fof(f48,plain,(
% 0.19/0.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.48 fof(f49,plain,(
% 0.19/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.48 fof(f50,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.48 fof(f51,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.48 fof(f57,plain,(
% 0.19/0.48 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.48 fof(f58,plain,(
% 0.19/0.48 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.48 fof(f64,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.48 fof(f65,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c4)=sk_c10),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.48 fof(f66,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.48 fof(f67,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.48 fof(f68,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.48 fof(f69,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.48 fof(f70,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c8),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.48 fof(f71,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.48 fof(f72,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.48 fof(f73,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.48 fof(f74,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f28])).
% 0.19/0.48 fof(f75,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.48 fof(f76,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.48 fof(f77,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f31])).
% 0.19/0.48 fof(f78,plain,(
% 0.19/0.48 inverse(sk_c3)=sk_c8|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.48 fof(f79,plain,(
% 0.19/0.48 inverse(sk_c3)=sk_c8|inverse(sk_c4)=sk_c10),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f33])).
% 0.19/0.48 fof(f80,plain,(
% 0.19/0.48 inverse(sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.48 fof(f81,plain,(
% 0.19/0.48 inverse(sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f35])).
% 0.19/0.48 fof(f82,plain,(
% 0.19/0.48 inverse(sk_c3)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f36])).
% 0.19/0.48 fof(f83,plain,(
% 0.19/0.48 inverse(sk_c3)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f37])).
% 0.19/0.48 fof(f84,plain,(
% 0.19/0.48 inverse(sk_c3)=sk_c8|inverse(sk_c6)=sk_c8),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f38])).
% 0.19/0.48 fof(f85,plain,(
% 0.19/0.48 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f39])).
% 0.19/0.48 fof(f86,plain,(
% 0.19/0.48 multiply(sk_c3,sk_c9)=sk_c8|inverse(sk_c4)=sk_c10),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f40])).
% 0.19/0.48 fof(f87,plain,(
% 0.19/0.48 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f41])).
% 0.19/0.48 fof(f88,plain,(
% 0.19/0.48 multiply(sk_c3,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f42])).
% 0.19/0.48 fof(f89,plain,(
% 0.19/0.48 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.48 fof(f90,plain,(
% 0.19/0.48 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f44])).
% 0.19/0.48 fof(f91,plain,(
% 0.19/0.48 multiply(sk_c3,sk_c9)=sk_c8|inverse(sk_c6)=sk_c8),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f45])).
% 0.19/0.48 fof(f92,plain,(
% 0.19/0.48 ![X7]: ((![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))|~multiply(X5,sk_c9)=sk_c8)|~inverse(X5)=sk_c9))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c9)=sk_c8))|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(sk_c8,X3)=sk_c9)|~multiply(X7,sk_c8)=X3))|~inverse(X7)=sk_c8)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f46])).
% 0.19/0.48 fof(f93,plain,(
% 0.19/0.48 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9|~inverse(X2)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(sk_c8,X5)=sk_c9|~multiply(X6,sk_c8)=X5|~inverse(X6)=sk_c8)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f92])).
% 0.19/0.48 fof(f94,plain,(
% 0.19/0.48 spl0_0 <=> multiply(sk_c1,sk_c10)=sk_c9),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f95,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c10)=sk_c9|~spl0_0),
% 0.19/0.48 inference(component_clause,[status(thm)],[f94])).
% 0.19/0.48 fof(f97,plain,(
% 0.19/0.48 spl0_1 <=> multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f98,plain,(
% 0.19/0.48 multiply(sk_c4,sk_c10)=sk_c9|~spl0_1),
% 0.19/0.48 inference(component_clause,[status(thm)],[f97])).
% 0.19/0.48 fof(f100,plain,(
% 0.19/0.48 spl0_0|spl0_1),
% 0.19/0.48 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.19/0.48 fof(f101,plain,(
% 0.19/0.48 spl0_2 <=> inverse(sk_c4)=sk_c10),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f102,plain,(
% 0.19/0.48 inverse(sk_c4)=sk_c10|~spl0_2),
% 0.19/0.48 inference(component_clause,[status(thm)],[f101])).
% 0.19/0.48 fof(f104,plain,(
% 0.19/0.48 spl0_0|spl0_2),
% 0.19/0.48 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.19/0.48 fof(f105,plain,(
% 0.19/0.48 spl0_3 <=> multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f106,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c8)=sk_c9|~spl0_3),
% 0.19/0.48 inference(component_clause,[status(thm)],[f105])).
% 0.19/0.48 fof(f109,plain,(
% 0.19/0.48 spl0_4 <=> inverse(sk_c5)=sk_c8),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f110,plain,(
% 0.19/0.48 inverse(sk_c5)=sk_c8|~spl0_4),
% 0.19/0.48 inference(component_clause,[status(thm)],[f109])).
% 0.19/0.49 fof(f113,plain,(
% 0.19/0.49 spl0_5 <=> multiply(sk_c8,sk_c7)=sk_c9),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f114,plain,(
% 0.19/0.49 multiply(sk_c8,sk_c7)=sk_c9|~spl0_5),
% 0.19/0.49 inference(component_clause,[status(thm)],[f113])).
% 0.19/0.49 fof(f117,plain,(
% 0.19/0.49 spl0_6 <=> multiply(sk_c6,sk_c8)=sk_c7),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f118,plain,(
% 0.19/0.49 multiply(sk_c6,sk_c8)=sk_c7|~spl0_6),
% 0.19/0.49 inference(component_clause,[status(thm)],[f117])).
% 0.19/0.49 fof(f121,plain,(
% 0.19/0.49 spl0_7 <=> inverse(sk_c6)=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f122,plain,(
% 0.19/0.49 inverse(sk_c6)=sk_c8|~spl0_7),
% 0.19/0.49 inference(component_clause,[status(thm)],[f121])).
% 0.19/0.49 fof(f125,plain,(
% 0.19/0.49 spl0_8 <=> inverse(sk_c1)=sk_c10),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f128,plain,(
% 0.19/0.49 spl0_8|spl0_1),
% 0.19/0.49 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.19/0.49 fof(f129,plain,(
% 0.19/0.49 spl0_8|spl0_2),
% 0.19/0.49 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.19/0.49 fof(f135,plain,(
% 0.19/0.49 spl0_9 <=> multiply(sk_c2,sk_c9)=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f136,plain,(
% 0.19/0.49 multiply(sk_c2,sk_c9)=sk_c8|~spl0_9),
% 0.19/0.49 inference(component_clause,[status(thm)],[f135])).
% 0.19/0.49 fof(f138,plain,(
% 0.19/0.49 spl0_9|spl0_1),
% 0.19/0.49 inference(split_clause,[status(thm)],[f64,f135,f97])).
% 0.19/0.49 fof(f139,plain,(
% 0.19/0.49 spl0_9|spl0_2),
% 0.19/0.49 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.19/0.49 fof(f140,plain,(
% 0.19/0.49 spl0_9|spl0_3),
% 0.19/0.49 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.19/0.49 fof(f141,plain,(
% 0.19/0.49 spl0_9|spl0_4),
% 0.19/0.49 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.19/0.49 fof(f142,plain,(
% 0.19/0.49 spl0_9|spl0_5),
% 0.19/0.49 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.19/0.49 fof(f143,plain,(
% 0.19/0.49 spl0_9|spl0_6),
% 0.19/0.49 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.19/0.49 fof(f144,plain,(
% 0.19/0.49 spl0_9|spl0_7),
% 0.19/0.49 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.19/0.49 fof(f145,plain,(
% 0.19/0.49 spl0_10 <=> inverse(sk_c2)=sk_c9),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f146,plain,(
% 0.19/0.49 inverse(sk_c2)=sk_c9|~spl0_10),
% 0.19/0.49 inference(component_clause,[status(thm)],[f145])).
% 0.19/0.49 fof(f148,plain,(
% 0.19/0.49 spl0_10|spl0_1),
% 0.19/0.49 inference(split_clause,[status(thm)],[f71,f145,f97])).
% 0.19/0.49 fof(f149,plain,(
% 0.19/0.49 spl0_10|spl0_2),
% 0.19/0.49 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.19/0.49 fof(f150,plain,(
% 0.19/0.49 spl0_10|spl0_3),
% 0.19/0.49 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.19/0.49 fof(f151,plain,(
% 0.19/0.49 spl0_10|spl0_4),
% 0.19/0.49 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.19/0.49 fof(f152,plain,(
% 0.19/0.49 spl0_10|spl0_5),
% 0.19/0.49 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.19/0.49 fof(f153,plain,(
% 0.19/0.49 spl0_10|spl0_6),
% 0.19/0.49 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.19/0.49 fof(f154,plain,(
% 0.19/0.49 spl0_10|spl0_7),
% 0.19/0.49 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.19/0.49 fof(f155,plain,(
% 0.19/0.49 spl0_11 <=> inverse(sk_c3)=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f156,plain,(
% 0.19/0.49 inverse(sk_c3)=sk_c8|~spl0_11),
% 0.19/0.49 inference(component_clause,[status(thm)],[f155])).
% 0.19/0.49 fof(f158,plain,(
% 0.19/0.49 spl0_11|spl0_1),
% 0.19/0.49 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.19/0.49 fof(f159,plain,(
% 0.19/0.49 spl0_11|spl0_2),
% 0.19/0.49 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.19/0.49 fof(f160,plain,(
% 0.19/0.49 spl0_11|spl0_3),
% 0.19/0.49 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.19/0.49 fof(f161,plain,(
% 0.19/0.49 spl0_11|spl0_4),
% 0.19/0.49 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.19/0.49 fof(f162,plain,(
% 0.19/0.49 spl0_11|spl0_5),
% 0.19/0.49 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.19/0.49 fof(f163,plain,(
% 0.19/0.49 spl0_11|spl0_6),
% 0.19/0.49 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.19/0.49 fof(f164,plain,(
% 0.19/0.49 spl0_11|spl0_7),
% 0.19/0.49 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.19/0.49 fof(f165,plain,(
% 0.19/0.49 spl0_12 <=> multiply(sk_c3,sk_c9)=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f166,plain,(
% 0.19/0.49 multiply(sk_c3,sk_c9)=sk_c8|~spl0_12),
% 0.19/0.49 inference(component_clause,[status(thm)],[f165])).
% 0.19/0.49 fof(f168,plain,(
% 0.19/0.49 spl0_12|spl0_1),
% 0.19/0.49 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.19/0.49 fof(f169,plain,(
% 0.19/0.49 spl0_12|spl0_2),
% 0.19/0.49 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.19/0.49 fof(f170,plain,(
% 0.19/0.49 spl0_12|spl0_3),
% 0.19/0.49 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.19/0.49 fof(f171,plain,(
% 0.19/0.49 spl0_12|spl0_4),
% 0.19/0.49 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.19/0.49 fof(f172,plain,(
% 0.19/0.49 spl0_12|spl0_5),
% 0.19/0.49 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.19/0.49 fof(f173,plain,(
% 0.19/0.49 spl0_12|spl0_6),
% 0.19/0.49 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.19/0.49 fof(f174,plain,(
% 0.19/0.49 spl0_12|spl0_7),
% 0.19/0.49 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.19/0.49 fof(f175,plain,(
% 0.19/0.49 spl0_13 <=> ~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f176,plain,(
% 0.19/0.49 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_13)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f175])).
% 0.19/0.49 fof(f178,plain,(
% 0.19/0.49 spl0_14 <=> ~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f179,plain,(
% 0.19/0.49 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_14)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f178])).
% 0.19/0.49 fof(f181,plain,(
% 0.19/0.49 spl0_15 <=> ~inverse(X2)=sk_c8|~multiply(X2,sk_c9)=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f182,plain,(
% 0.19/0.49 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c9)=sk_c8|~spl0_15)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f181])).
% 0.19/0.49 fof(f184,plain,(
% 0.19/0.49 spl0_16 <=> ~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f185,plain,(
% 0.19/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~spl0_16)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f184])).
% 0.19/0.49 fof(f187,plain,(
% 0.19/0.49 spl0_17 <=> ~multiply(sk_c8,X5)=sk_c9|~multiply(X6,sk_c8)=X5|~inverse(X6)=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f188,plain,(
% 0.19/0.49 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c9|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_17)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f187])).
% 0.19/0.49 fof(f190,plain,(
% 0.19/0.49 spl0_13|spl0_14|spl0_15|spl0_16|spl0_17),
% 0.19/0.49 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.19/0.49 fof(f191,plain,(
% 0.19/0.49 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c9|~inverse(X0)=sk_c8|~spl0_17)),
% 0.19/0.49 inference(destructive_equality_resolution,[status(esa)],[f188])).
% 0.19/0.49 fof(f194,plain,(
% 0.19/0.49 ~multiply(sk_c8,multiply(sk_c6,sk_c8))=sk_c9|~spl0_17|~spl0_7),
% 0.19/0.49 inference(resolution,[status(thm)],[f191,f122])).
% 0.19/0.49 fof(f195,plain,(
% 0.19/0.49 ~multiply(sk_c8,sk_c7)=sk_c9|~spl0_6|~spl0_17|~spl0_7),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f118,f194])).
% 0.19/0.49 fof(f196,plain,(
% 0.19/0.49 ~sk_c9=sk_c9|~spl0_5|~spl0_6|~spl0_17|~spl0_7),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f114,f195])).
% 0.19/0.49 fof(f197,plain,(
% 0.19/0.49 $false|~spl0_5|~spl0_6|~spl0_17|~spl0_7),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f196])).
% 0.19/0.49 fof(f198,plain,(
% 0.19/0.49 ~spl0_5|~spl0_6|~spl0_17|~spl0_7),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f197])).
% 0.19/0.49 fof(f199,plain,(
% 0.19/0.49 ~multiply(sk_c5,sk_c8)=sk_c9|~spl0_16|~spl0_4),
% 0.19/0.49 inference(resolution,[status(thm)],[f185,f110])).
% 0.19/0.49 fof(f200,plain,(
% 0.19/0.49 ~sk_c9=sk_c9|~spl0_3|~spl0_16|~spl0_4),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f106,f199])).
% 0.19/0.49 fof(f201,plain,(
% 0.19/0.49 $false|~spl0_3|~spl0_16|~spl0_4),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f200])).
% 0.19/0.49 fof(f202,plain,(
% 0.19/0.49 ~spl0_3|~spl0_16|~spl0_4),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f201])).
% 0.19/0.49 fof(f203,plain,(
% 0.19/0.49 ~multiply(sk_c5,sk_c9)=sk_c8|~spl0_15|~spl0_4),
% 0.19/0.49 inference(resolution,[status(thm)],[f182,f110])).
% 0.19/0.49 fof(f205,plain,(
% 0.19/0.49 ~multiply(sk_c3,sk_c9)=sk_c8|~spl0_15|~spl0_11),
% 0.19/0.49 inference(resolution,[status(thm)],[f182,f156])).
% 0.19/0.49 fof(f206,plain,(
% 0.19/0.49 ~sk_c8=sk_c8|~spl0_12|~spl0_15|~spl0_11),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f166,f205])).
% 0.19/0.49 fof(f207,plain,(
% 0.19/0.49 $false|~spl0_12|~spl0_15|~spl0_11),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f206])).
% 0.19/0.49 fof(f208,plain,(
% 0.19/0.49 ~spl0_12|~spl0_15|~spl0_11),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f207])).
% 0.19/0.49 fof(f209,plain,(
% 0.19/0.49 ~inverse(sk_c2)=sk_c9|~spl0_14|~spl0_9),
% 0.19/0.49 inference(resolution,[status(thm)],[f179,f136])).
% 0.19/0.49 fof(f210,plain,(
% 0.19/0.49 ~sk_c9=sk_c9|~spl0_10|~spl0_14|~spl0_9),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f146,f209])).
% 0.19/0.49 fof(f211,plain,(
% 0.19/0.49 $false|~spl0_10|~spl0_14|~spl0_9),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f210])).
% 0.19/0.49 fof(f212,plain,(
% 0.19/0.49 ~spl0_10|~spl0_14|~spl0_9),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f211])).
% 0.19/0.49 fof(f213,plain,(
% 0.19/0.49 ~inverse(sk_c4)=sk_c10|~spl0_13|~spl0_1),
% 0.19/0.49 inference(resolution,[status(thm)],[f176,f98])).
% 0.19/0.49 fof(f214,plain,(
% 0.19/0.49 ~sk_c10=sk_c10|~spl0_2|~spl0_13|~spl0_1),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f102,f213])).
% 0.19/0.49 fof(f215,plain,(
% 0.19/0.49 $false|~spl0_2|~spl0_13|~spl0_1),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f214])).
% 0.19/0.49 fof(f216,plain,(
% 0.19/0.49 ~spl0_2|~spl0_13|~spl0_1),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f215])).
% 0.19/0.49 fof(f218,plain,(
% 0.19/0.49 spl0_18 <=> sk_c8=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f220,plain,(
% 0.19/0.49 ~sk_c8=sk_c8|spl0_18),
% 0.19/0.49 inference(component_clause,[status(thm)],[f218])).
% 0.19/0.49 fof(f221,plain,(
% 0.19/0.49 spl0_19 <=> inverse(sk_c3)=sk_c9),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f222,plain,(
% 0.19/0.49 inverse(sk_c3)=sk_c9|~spl0_19),
% 0.19/0.49 inference(component_clause,[status(thm)],[f221])).
% 0.19/0.49 fof(f223,plain,(
% 0.19/0.49 ~inverse(sk_c3)=sk_c9|spl0_19),
% 0.19/0.49 inference(component_clause,[status(thm)],[f221])).
% 0.19/0.49 fof(f226,plain,(
% 0.19/0.49 $false|spl0_18),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f220])).
% 0.19/0.49 fof(f227,plain,(
% 0.19/0.49 spl0_18),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f226])).
% 0.19/0.49 fof(f357,plain,(
% 0.19/0.49 spl0_38 <=> sk_c9=sk_c9),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f359,plain,(
% 0.19/0.49 ~sk_c9=sk_c9|spl0_38),
% 0.19/0.49 inference(component_clause,[status(thm)],[f357])).
% 0.19/0.49 fof(f360,plain,(
% 0.19/0.49 ~sk_c9=sk_c9|~inverse(sk_c1)=sk_c10|~spl0_13|~spl0_0),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f95,f176])).
% 0.19/0.49 fof(f361,plain,(
% 0.19/0.49 ~spl0_38|~spl0_8|~spl0_13|~spl0_0),
% 0.19/0.49 inference(split_clause,[status(thm)],[f360,f357,f125,f175,f94])).
% 0.19/0.49 fof(f364,plain,(
% 0.19/0.49 $false|spl0_38),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f359])).
% 0.19/0.49 fof(f365,plain,(
% 0.19/0.49 spl0_38),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f364])).
% 0.19/0.49 fof(f374,plain,(
% 0.19/0.49 spl0_41 <=> multiply(sk_c5,sk_c9)=sk_c8),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f377,plain,(
% 0.19/0.49 ~sk_c8=sk_c8|~multiply(sk_c5,sk_c9)=sk_c8|~spl0_15|~spl0_4),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f110,f182])).
% 0.19/0.49 fof(f378,plain,(
% 0.19/0.49 ~spl0_18|~spl0_41|~spl0_15|~spl0_4),
% 0.19/0.49 inference(split_clause,[status(thm)],[f377,f218,f374,f181,f109])).
% 0.19/0.49 fof(f422,plain,(
% 0.19/0.49 ~sk_c8=sk_c9|~spl0_11|spl0_19),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f156,f223])).
% 0.19/0.49 fof(f424,plain,(
% 0.19/0.49 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c2,multiply(sk_c9,X0))|~spl0_9)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f136,f49])).
% 0.19/0.49 fof(f455,plain,(
% 0.19/0.49 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.19/0.49 fof(f456,plain,(
% 0.19/0.49 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f47,f455])).
% 0.19/0.49 fof(f490,plain,(
% 0.19/0.49 sk_c9=multiply(inverse(sk_c3),sk_c8)|~spl0_12),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f166,f456])).
% 0.19/0.49 fof(f491,plain,(
% 0.19/0.49 sk_c9=multiply(sk_c8,sk_c8)|~spl0_11|~spl0_12),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f156,f490])).
% 0.19/0.49 fof(f494,plain,(
% 0.19/0.49 sk_c9=multiply(inverse(sk_c2),sk_c8)|~spl0_9),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f136,f456])).
% 0.19/0.49 fof(f495,plain,(
% 0.19/0.49 sk_c9=multiply(sk_c9,sk_c8)|~spl0_10|~spl0_9),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f146,f494])).
% 0.19/0.49 fof(f507,plain,(
% 0.19/0.49 sk_c8=multiply(inverse(sk_c6),sk_c7)|~spl0_6),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f118,f456])).
% 0.19/0.49 fof(f508,plain,(
% 0.19/0.49 sk_c8=multiply(sk_c8,sk_c7)|~spl0_7|~spl0_6),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f122,f507])).
% 0.19/0.49 fof(f559,plain,(
% 0.19/0.49 sk_c8=multiply(inverse(sk_c8),sk_c9)|~spl0_11|~spl0_12),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f491,f456])).
% 0.19/0.49 fof(f561,plain,(
% 0.19/0.49 multiply(sk_c8,sk_c8)=multiply(sk_c2,sk_c9)|~spl0_10|~spl0_9),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f495,f424])).
% 0.19/0.49 fof(f562,plain,(
% 0.19/0.49 sk_c9=multiply(sk_c2,sk_c9)|~spl0_11|~spl0_12|~spl0_10|~spl0_9),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f491,f561])).
% 0.19/0.49 fof(f563,plain,(
% 0.19/0.49 sk_c9=sk_c8|~spl0_11|~spl0_12|~spl0_10|~spl0_9),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f136,f562])).
% 0.19/0.49 fof(f564,plain,(
% 0.19/0.49 $false|spl0_19|~spl0_11|~spl0_12|~spl0_10|~spl0_9),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f563,f422])).
% 0.19/0.49 fof(f565,plain,(
% 0.19/0.49 spl0_19|~spl0_11|~spl0_12|~spl0_10|~spl0_9),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f564])).
% 0.19/0.49 fof(f594,plain,(
% 0.19/0.49 sk_c8=sk_c9|~spl0_7|~spl0_6|~spl0_5),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f508,f114])).
% 0.19/0.49 fof(f697,plain,(
% 0.19/0.49 sk_c8=sk_c9|~spl0_11|~spl0_19),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f156,f222])).
% 0.19/0.49 fof(f698,plain,(
% 0.19/0.49 inverse(sk_c3)=sk_c9|~spl0_19|~spl0_11),
% 0.19/0.49 inference(backward_demodulation,[status(thm)],[f697,f156])).
% 0.19/0.49 fof(f736,plain,(
% 0.19/0.49 sk_c9=multiply(inverse(sk_c8),sk_c9)|~spl0_19|~spl0_11|~spl0_12),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f697,f559])).
% 0.19/0.49 fof(f737,plain,(
% 0.19/0.49 sk_c9=multiply(inverse(sk_c9),sk_c9)|~spl0_19|~spl0_11|~spl0_12),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f697,f736])).
% 0.19/0.49 fof(f738,plain,(
% 0.19/0.49 sk_c9=identity|~spl0_19|~spl0_11|~spl0_12),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f48,f737])).
% 0.19/0.49 fof(f752,plain,(
% 0.19/0.49 inverse(sk_c3)=identity|~spl0_12|~spl0_19|~spl0_11),
% 0.19/0.49 inference(backward_demodulation,[status(thm)],[f738,f698])).
% 0.19/0.49 fof(f756,plain,(
% 0.19/0.49 inverse(sk_c2)=identity|~spl0_19|~spl0_11|~spl0_12|~spl0_10),
% 0.19/0.49 inference(backward_demodulation,[status(thm)],[f738,f146])).
% 0.19/0.49 fof(f763,plain,(
% 0.19/0.49 ![X0]: (X0=multiply(identity,multiply(sk_c3,X0))|~spl0_12|~spl0_19|~spl0_11)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f752,f456])).
% 0.19/0.49 fof(f764,plain,(
% 0.19/0.49 ![X0]: (X0=multiply(sk_c3,X0)|~spl0_12|~spl0_19|~spl0_11)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f47,f763])).
% 0.19/0.49 fof(f767,plain,(
% 0.19/0.49 ![X0]: (X0=multiply(identity,multiply(sk_c2,X0))|~spl0_19|~spl0_11|~spl0_12|~spl0_10)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f756,f456])).
% 0.19/0.49 fof(f768,plain,(
% 0.19/0.49 ![X0]: (X0=multiply(sk_c2,X0)|~spl0_19|~spl0_11|~spl0_12|~spl0_10)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f47,f767])).
% 0.19/0.49 fof(f784,plain,(
% 0.19/0.49 identity=multiply(inverse(sk_c3),sk_c8)|~spl0_19|~spl0_11|~spl0_12),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f738,f490])).
% 0.19/0.49 fof(f785,plain,(
% 0.19/0.49 identity=multiply(identity,sk_c8)|~spl0_19|~spl0_11|~spl0_12),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f752,f784])).
% 0.19/0.49 fof(f786,plain,(
% 0.19/0.49 identity=sk_c8|~spl0_19|~spl0_11|~spl0_12),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f47,f785])).
% 0.19/0.49 fof(f793,plain,(
% 0.19/0.49 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c8|~spl0_19|~spl0_11|~spl0_12|~spl0_16)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f786,f185])).
% 0.19/0.49 fof(f794,plain,(
% 0.19/0.49 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c8|~spl0_19|~spl0_11|~spl0_12|~spl0_16)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f738,f793])).
% 0.19/0.49 fof(f795,plain,(
% 0.19/0.49 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_19|~spl0_11|~spl0_12|~spl0_16)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f786,f794])).
% 0.19/0.49 fof(f796,plain,(
% 0.19/0.49 ~multiply(sk_c2,identity)=identity|~spl0_16|~spl0_19|~spl0_11|~spl0_12|~spl0_10),
% 0.19/0.49 inference(resolution,[status(thm)],[f795,f756])).
% 0.19/0.49 fof(f797,plain,(
% 0.19/0.49 ~identity=identity|~spl0_16|~spl0_19|~spl0_11|~spl0_12|~spl0_10),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f768,f796])).
% 0.19/0.49 fof(f798,plain,(
% 0.19/0.49 $false|~spl0_16|~spl0_19|~spl0_11|~spl0_12|~spl0_10),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f797])).
% 0.19/0.49 fof(f799,plain,(
% 0.19/0.49 ~spl0_16|~spl0_19|~spl0_11|~spl0_12|~spl0_10),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f798])).
% 0.19/0.49 fof(f805,plain,(
% 0.19/0.49 ~multiply(sk_c8,multiply(sk_c3,sk_c8))=sk_c9|~spl0_17|~spl0_11),
% 0.19/0.49 inference(resolution,[status(thm)],[f191,f156])).
% 0.19/0.49 fof(f806,plain,(
% 0.19/0.49 ~multiply(identity,multiply(sk_c3,sk_c8))=sk_c9|~spl0_19|~spl0_12|~spl0_17|~spl0_11),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f786,f805])).
% 0.19/0.49 fof(f807,plain,(
% 0.19/0.49 ~multiply(sk_c3,sk_c8)=sk_c9|~spl0_19|~spl0_12|~spl0_17|~spl0_11),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f47,f806])).
% 0.19/0.49 fof(f808,plain,(
% 0.19/0.49 ~sk_c8=sk_c9|~spl0_19|~spl0_12|~spl0_17|~spl0_11),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f764,f807])).
% 0.19/0.49 fof(f809,plain,(
% 0.19/0.49 ~identity=sk_c9|~spl0_19|~spl0_12|~spl0_17|~spl0_11),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f786,f808])).
% 0.19/0.49 fof(f810,plain,(
% 0.19/0.49 ~identity=identity|~spl0_19|~spl0_12|~spl0_17|~spl0_11),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f738,f809])).
% 0.19/0.49 fof(f811,plain,(
% 0.19/0.49 $false|~spl0_19|~spl0_12|~spl0_17|~spl0_11),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f810])).
% 0.19/0.49 fof(f812,plain,(
% 0.19/0.49 ~spl0_19|~spl0_12|~spl0_17|~spl0_11),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f811])).
% 0.19/0.49 fof(f829,plain,(
% 0.19/0.49 multiply(sk_c5,sk_c9)=sk_c9|~spl0_7|~spl0_6|~spl0_5|~spl0_3),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f594,f106])).
% 0.19/0.49 fof(f832,plain,(
% 0.19/0.49 ![X0]: (~multiply(X0,sk_c9)=sk_c9|~inverse(X0)=sk_c9|~spl0_7|~spl0_6|~spl0_5|~spl0_14)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f594,f179])).
% 0.19/0.49 fof(f850,plain,(
% 0.19/0.49 inverse(sk_c5)=sk_c9|~spl0_7|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f594,f110])).
% 0.19/0.49 fof(f863,plain,(
% 0.19/0.49 ~sk_c9=sk_c8|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_15|~spl0_4),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f829,f203])).
% 0.19/0.49 fof(f864,plain,(
% 0.19/0.49 ~sk_c9=sk_c9|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_15|~spl0_4),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f594,f863])).
% 0.19/0.49 fof(f865,plain,(
% 0.19/0.49 $false|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_15|~spl0_4),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f864])).
% 0.19/0.49 fof(f866,plain,(
% 0.19/0.49 ~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_15|~spl0_4),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f865])).
% 0.19/0.49 fof(f914,plain,(
% 0.19/0.49 ~multiply(sk_c5,sk_c9)=sk_c9|~spl0_14|~spl0_7|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.49 inference(resolution,[status(thm)],[f832,f850])).
% 0.19/0.49 fof(f915,plain,(
% 0.19/0.49 ~sk_c9=sk_c9|~spl0_3|~spl0_14|~spl0_7|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f829,f914])).
% 0.19/0.49 fof(f916,plain,(
% 0.19/0.49 $false|~spl0_3|~spl0_14|~spl0_7|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f915])).
% 0.19/0.49 fof(f917,plain,(
% 0.19/0.49 ~spl0_3|~spl0_14|~spl0_7|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f916])).
% 0.19/0.49 fof(f918,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f100,f104,f128,f129,f138,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f154,f158,f159,f160,f161,f162,f163,f164,f168,f169,f170,f171,f172,f173,f174,f190,f198,f202,f208,f212,f216,f227,f361,f365,f378,f565,f799,f812,f866,f917])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 % Elapsed time: 0.154846 seconds
% 0.19/0.49 % CPU time: 1.115890 seconds
% 0.19/0.49 % Total memory used: 80.283 MB
% 0.19/0.49 % Net memory used: 79.354 MB
%------------------------------------------------------------------------------