TSTP Solution File: GRP341-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:20:08 EDT 2024
% Result : Unsatisfiable 0.21s 0.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:31:43 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.6.0
% 0.21/0.54 % Refutation found
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.54 fof(f1,axiom,(
% 0.21/0.54 (![X]: (multiply(identity,X) = X ))),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f2,axiom,(
% 0.21/0.54 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f3,axiom,(
% 0.21/0.54 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f6,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c5) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f7,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f8,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f10,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f11,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f12,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f13,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f14,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f15,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f16,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f17,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f18,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f19,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f20,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f21,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f22,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f23,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f24,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f25,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f26,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f27,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c2) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f28,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f29,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f30,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c2) = sk_c6| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f31,negated_conjecture,(
% 0.21/0.54 ( inverse(sk_c2) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f32,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f33,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f34,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f35,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f36,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f38,negated_conjecture,(
% 0.21/0.54 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f39,negated_conjecture,(
% 0.21/0.54 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| inverse(X3) != sk_c7| multiply(X3,sk_c6) != sk_c7| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| inverse(sk_c5) != sk_c6| multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6| multiply(sk_c5,sk_c7) != sk_c6| multiply(sk_c5,sk_c6) != sk_c7 ) ))),
% 0.21/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.54 fof(f40,plain,(
% 0.21/0.54 ![X0]: (multiply(identity,X0)=X0)),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.54 fof(f41,plain,(
% 0.21/0.54 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.54 fof(f42,plain,(
% 0.21/0.54 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.54 fof(f45,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c5)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.54 fof(f46,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c4,sk_c6)=sk_c5),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f7])).
% 0.21/0.54 fof(f47,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.54 fof(f49,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c5,sk_c6)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.54 fof(f50,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f11])).
% 0.21/0.54 fof(f51,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.54 fof(f52,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.54 fof(f53,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.54 fof(f54,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.54 fof(f55,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.54 fof(f56,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.54 fof(f57,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f18])).
% 0.21/0.54 fof(f58,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f19])).
% 0.21/0.54 fof(f59,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f20])).
% 0.21/0.54 fof(f60,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.54 fof(f61,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.54 fof(f62,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f23])).
% 0.21/0.54 fof(f63,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.54 fof(f64,plain,(
% 0.21/0.54 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f25])).
% 0.21/0.54 fof(f65,plain,(
% 0.21/0.54 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f26])).
% 0.21/0.54 fof(f66,plain,(
% 0.21/0.54 inverse(sk_c2)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f27])).
% 0.21/0.54 fof(f67,plain,(
% 0.21/0.54 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f28])).
% 0.21/0.54 fof(f68,plain,(
% 0.21/0.54 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f29])).
% 0.21/0.54 fof(f69,plain,(
% 0.21/0.54 inverse(sk_c2)=sk_c6|multiply(sk_c5,sk_c7)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f30])).
% 0.21/0.54 fof(f70,plain,(
% 0.21/0.54 inverse(sk_c2)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.54 fof(f71,plain,(
% 0.21/0.54 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f32])).
% 0.21/0.54 fof(f72,plain,(
% 0.21/0.54 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.54 fof(f73,plain,(
% 0.21/0.54 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f34])).
% 0.21/0.54 fof(f74,plain,(
% 0.21/0.54 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f35])).
% 0.21/0.54 fof(f75,plain,(
% 0.21/0.54 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f36])).
% 0.21/0.54 fof(f77,plain,(
% 0.21/0.54 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f38])).
% 0.21/0.54 fof(f78,plain,(
% 0.21/0.54 ((![X2]: ((((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X3)=sk_c7)|~multiply(X3,sk_c6)=sk_c7))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~inverse(sk_c5)=sk_c6)|~multiply(X2,sk_c6)=sk_c5)|~inverse(X2)=sk_c6))|~multiply(sk_c5,sk_c7)=sk_c6)|~multiply(sk_c5,sk_c6)=sk_c7),
% 0.21/0.54 inference(miniscoping,[status(esa)],[f39])).
% 0.21/0.54 fof(f79,plain,(
% 0.21/0.54 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7|~inverse(sk_c5)=sk_c6|~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6|~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c5,sk_c6)=sk_c7)),
% 0.21/0.54 inference(cnf_transformation,[status(esa)],[f78])).
% 0.21/0.54 fof(f80,plain,(
% 0.21/0.54 spl0_0 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f81,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c7)=sk_c5|~spl0_0),
% 0.21/0.54 inference(component_clause,[status(thm)],[f80])).
% 0.21/0.54 fof(f82,plain,(
% 0.21/0.54 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_0),
% 0.21/0.54 inference(component_clause,[status(thm)],[f80])).
% 0.21/0.54 fof(f83,plain,(
% 0.21/0.54 spl0_1 <=> multiply(sk_c3,sk_c7)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f84,plain,(
% 0.21/0.54 multiply(sk_c3,sk_c7)=sk_c6|~spl0_1),
% 0.21/0.54 inference(component_clause,[status(thm)],[f83])).
% 0.21/0.54 fof(f87,plain,(
% 0.21/0.54 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f88,plain,(
% 0.21/0.54 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.21/0.54 inference(component_clause,[status(thm)],[f87])).
% 0.21/0.54 fof(f91,plain,(
% 0.21/0.54 spl0_3 <=> inverse(sk_c5)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f92,plain,(
% 0.21/0.54 inverse(sk_c5)=sk_c6|~spl0_3),
% 0.21/0.54 inference(component_clause,[status(thm)],[f91])).
% 0.21/0.54 fof(f93,plain,(
% 0.21/0.54 ~inverse(sk_c5)=sk_c6|spl0_3),
% 0.21/0.54 inference(component_clause,[status(thm)],[f91])).
% 0.21/0.54 fof(f94,plain,(
% 0.21/0.54 spl0_0|spl0_3),
% 0.21/0.54 inference(split_clause,[status(thm)],[f45,f80,f91])).
% 0.21/0.54 fof(f95,plain,(
% 0.21/0.54 spl0_4 <=> multiply(sk_c4,sk_c6)=sk_c5),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f96,plain,(
% 0.21/0.54 multiply(sk_c4,sk_c6)=sk_c5|~spl0_4),
% 0.21/0.54 inference(component_clause,[status(thm)],[f95])).
% 0.21/0.54 fof(f98,plain,(
% 0.21/0.54 spl0_0|spl0_4),
% 0.21/0.54 inference(split_clause,[status(thm)],[f46,f80,f95])).
% 0.21/0.54 fof(f99,plain,(
% 0.21/0.54 spl0_5 <=> inverse(sk_c4)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f100,plain,(
% 0.21/0.54 inverse(sk_c4)=sk_c6|~spl0_5),
% 0.21/0.54 inference(component_clause,[status(thm)],[f99])).
% 0.21/0.54 fof(f102,plain,(
% 0.21/0.54 spl0_0|spl0_5),
% 0.21/0.54 inference(split_clause,[status(thm)],[f47,f80,f99])).
% 0.21/0.54 fof(f103,plain,(
% 0.21/0.54 spl0_6 <=> multiply(sk_c5,sk_c7)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f104,plain,(
% 0.21/0.54 multiply(sk_c5,sk_c7)=sk_c6|~spl0_6),
% 0.21/0.54 inference(component_clause,[status(thm)],[f103])).
% 0.21/0.54 fof(f105,plain,(
% 0.21/0.54 ~multiply(sk_c5,sk_c7)=sk_c6|spl0_6),
% 0.21/0.54 inference(component_clause,[status(thm)],[f103])).
% 0.21/0.54 fof(f107,plain,(
% 0.21/0.54 spl0_7 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f108,plain,(
% 0.21/0.54 multiply(sk_c5,sk_c6)=sk_c7|~spl0_7),
% 0.21/0.54 inference(component_clause,[status(thm)],[f107])).
% 0.21/0.54 fof(f109,plain,(
% 0.21/0.54 ~multiply(sk_c5,sk_c6)=sk_c7|spl0_7),
% 0.21/0.54 inference(component_clause,[status(thm)],[f107])).
% 0.21/0.54 fof(f110,plain,(
% 0.21/0.54 spl0_0|spl0_7),
% 0.21/0.54 inference(split_clause,[status(thm)],[f49,f80,f107])).
% 0.21/0.54 fof(f111,plain,(
% 0.21/0.54 spl0_8 <=> inverse(sk_c1)=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f112,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c7|~spl0_8),
% 0.21/0.54 inference(component_clause,[status(thm)],[f111])).
% 0.21/0.54 fof(f114,plain,(
% 0.21/0.54 spl0_8|spl0_1),
% 0.21/0.54 inference(split_clause,[status(thm)],[f50,f111,f83])).
% 0.21/0.54 fof(f115,plain,(
% 0.21/0.54 spl0_8|spl0_2),
% 0.21/0.54 inference(split_clause,[status(thm)],[f51,f111,f87])).
% 0.21/0.54 fof(f116,plain,(
% 0.21/0.54 spl0_8|spl0_3),
% 0.21/0.54 inference(split_clause,[status(thm)],[f52,f111,f91])).
% 0.21/0.54 fof(f117,plain,(
% 0.21/0.54 spl0_8|spl0_4),
% 0.21/0.54 inference(split_clause,[status(thm)],[f53,f111,f95])).
% 0.21/0.54 fof(f118,plain,(
% 0.21/0.54 spl0_8|spl0_5),
% 0.21/0.54 inference(split_clause,[status(thm)],[f54,f111,f99])).
% 0.21/0.54 fof(f119,plain,(
% 0.21/0.54 spl0_8|spl0_6),
% 0.21/0.54 inference(split_clause,[status(thm)],[f55,f111,f103])).
% 0.21/0.54 fof(f120,plain,(
% 0.21/0.54 spl0_8|spl0_7),
% 0.21/0.54 inference(split_clause,[status(thm)],[f56,f111,f107])).
% 0.21/0.54 fof(f121,plain,(
% 0.21/0.54 spl0_9 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f122,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c7|~spl0_9),
% 0.21/0.54 inference(component_clause,[status(thm)],[f121])).
% 0.21/0.54 fof(f124,plain,(
% 0.21/0.54 spl0_9|spl0_1),
% 0.21/0.54 inference(split_clause,[status(thm)],[f57,f121,f83])).
% 0.21/0.54 fof(f125,plain,(
% 0.21/0.54 spl0_9|spl0_2),
% 0.21/0.54 inference(split_clause,[status(thm)],[f58,f121,f87])).
% 0.21/0.54 fof(f126,plain,(
% 0.21/0.54 spl0_9|spl0_3),
% 0.21/0.54 inference(split_clause,[status(thm)],[f59,f121,f91])).
% 0.21/0.54 fof(f127,plain,(
% 0.21/0.54 spl0_9|spl0_4),
% 0.21/0.54 inference(split_clause,[status(thm)],[f60,f121,f95])).
% 0.21/0.54 fof(f128,plain,(
% 0.21/0.54 spl0_9|spl0_5),
% 0.21/0.54 inference(split_clause,[status(thm)],[f61,f121,f99])).
% 0.21/0.54 fof(f129,plain,(
% 0.21/0.54 spl0_9|spl0_6),
% 0.21/0.54 inference(split_clause,[status(thm)],[f62,f121,f103])).
% 0.21/0.54 fof(f130,plain,(
% 0.21/0.54 spl0_9|spl0_7),
% 0.21/0.54 inference(split_clause,[status(thm)],[f63,f121,f107])).
% 0.21/0.54 fof(f131,plain,(
% 0.21/0.54 spl0_10 <=> inverse(sk_c2)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f132,plain,(
% 0.21/0.54 inverse(sk_c2)=sk_c6|~spl0_10),
% 0.21/0.54 inference(component_clause,[status(thm)],[f131])).
% 0.21/0.54 fof(f134,plain,(
% 0.21/0.54 spl0_10|spl0_1),
% 0.21/0.54 inference(split_clause,[status(thm)],[f64,f131,f83])).
% 0.21/0.54 fof(f135,plain,(
% 0.21/0.54 spl0_10|spl0_2),
% 0.21/0.54 inference(split_clause,[status(thm)],[f65,f131,f87])).
% 0.21/0.54 fof(f136,plain,(
% 0.21/0.54 spl0_10|spl0_3),
% 0.21/0.54 inference(split_clause,[status(thm)],[f66,f131,f91])).
% 0.21/0.54 fof(f137,plain,(
% 0.21/0.54 spl0_10|spl0_4),
% 0.21/0.54 inference(split_clause,[status(thm)],[f67,f131,f95])).
% 0.21/0.54 fof(f138,plain,(
% 0.21/0.54 spl0_10|spl0_5),
% 0.21/0.54 inference(split_clause,[status(thm)],[f68,f131,f99])).
% 0.21/0.54 fof(f139,plain,(
% 0.21/0.54 spl0_10|spl0_6),
% 0.21/0.54 inference(split_clause,[status(thm)],[f69,f131,f103])).
% 0.21/0.54 fof(f140,plain,(
% 0.21/0.54 spl0_10|spl0_7),
% 0.21/0.54 inference(split_clause,[status(thm)],[f70,f131,f107])).
% 0.21/0.54 fof(f141,plain,(
% 0.21/0.54 spl0_11 <=> multiply(sk_c2,sk_c5)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f142,plain,(
% 0.21/0.54 multiply(sk_c2,sk_c5)=sk_c6|~spl0_11),
% 0.21/0.54 inference(component_clause,[status(thm)],[f141])).
% 0.21/0.54 fof(f143,plain,(
% 0.21/0.54 ~multiply(sk_c2,sk_c5)=sk_c6|spl0_11),
% 0.21/0.54 inference(component_clause,[status(thm)],[f141])).
% 0.21/0.54 fof(f144,plain,(
% 0.21/0.54 spl0_11|spl0_1),
% 0.21/0.54 inference(split_clause,[status(thm)],[f71,f141,f83])).
% 0.21/0.54 fof(f145,plain,(
% 0.21/0.54 spl0_11|spl0_2),
% 0.21/0.54 inference(split_clause,[status(thm)],[f72,f141,f87])).
% 0.21/0.54 fof(f146,plain,(
% 0.21/0.54 spl0_11|spl0_3),
% 0.21/0.54 inference(split_clause,[status(thm)],[f73,f141,f91])).
% 0.21/0.54 fof(f147,plain,(
% 0.21/0.54 spl0_11|spl0_4),
% 0.21/0.54 inference(split_clause,[status(thm)],[f74,f141,f95])).
% 0.21/0.54 fof(f148,plain,(
% 0.21/0.54 spl0_11|spl0_5),
% 0.21/0.54 inference(split_clause,[status(thm)],[f75,f141,f99])).
% 0.21/0.54 fof(f150,plain,(
% 0.21/0.54 spl0_11|spl0_7),
% 0.21/0.54 inference(split_clause,[status(thm)],[f77,f141,f107])).
% 0.21/0.54 fof(f151,plain,(
% 0.21/0.54 spl0_12 <=> ~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f152,plain,(
% 0.21/0.54 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 0.21/0.54 inference(component_clause,[status(thm)],[f151])).
% 0.21/0.54 fof(f154,plain,(
% 0.21/0.54 spl0_13 <=> ~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f155,plain,(
% 0.21/0.54 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_13)),
% 0.21/0.54 inference(component_clause,[status(thm)],[f154])).
% 0.21/0.54 fof(f157,plain,(
% 0.21/0.54 spl0_14 <=> ~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f158,plain,(
% 0.21/0.54 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_14)),
% 0.21/0.54 inference(component_clause,[status(thm)],[f157])).
% 0.21/0.54 fof(f160,plain,(
% 0.21/0.54 spl0_15 <=> ~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f161,plain,(
% 0.21/0.54 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_15)),
% 0.21/0.54 inference(component_clause,[status(thm)],[f160])).
% 0.21/0.54 fof(f163,plain,(
% 0.21/0.54 ~spl0_0|spl0_12|spl0_13|spl0_14|~spl0_3|spl0_15|~spl0_6|~spl0_7),
% 0.21/0.54 inference(split_clause,[status(thm)],[f79,f80,f151,f154,f157,f91,f160,f103,f107])).
% 0.21/0.54 fof(f164,plain,(
% 0.21/0.54 ~inverse(sk_c4)=sk_c6|~spl0_15|~spl0_4),
% 0.21/0.54 inference(resolution,[status(thm)],[f161,f96])).
% 0.21/0.54 fof(f165,plain,(
% 0.21/0.54 ~sk_c6=sk_c6|~spl0_5|~spl0_15|~spl0_4),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f100,f164])).
% 0.21/0.54 fof(f166,plain,(
% 0.21/0.54 $false|~spl0_5|~spl0_15|~spl0_4),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f165])).
% 0.21/0.54 fof(f167,plain,(
% 0.21/0.54 ~spl0_5|~spl0_15|~spl0_4),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f166])).
% 0.21/0.54 fof(f168,plain,(
% 0.21/0.54 ~multiply(sk_c3,sk_c7)=sk_c6|~spl0_14|~spl0_2),
% 0.21/0.54 inference(resolution,[status(thm)],[f158,f88])).
% 0.21/0.54 fof(f169,plain,(
% 0.21/0.54 ~sk_c6=sk_c6|~spl0_1|~spl0_14|~spl0_2),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f84,f168])).
% 0.21/0.54 fof(f170,plain,(
% 0.21/0.54 $false|~spl0_1|~spl0_14|~spl0_2),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f169])).
% 0.21/0.54 fof(f171,plain,(
% 0.21/0.54 ~spl0_1|~spl0_14|~spl0_2),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f170])).
% 0.21/0.54 fof(f172,plain,(
% 0.21/0.54 ~multiply(sk_c2,sk_c5)=sk_c6|~spl0_13|~spl0_10),
% 0.21/0.54 inference(resolution,[status(thm)],[f155,f132])).
% 0.21/0.54 fof(f173,plain,(
% 0.21/0.54 ~sk_c6=sk_c6|~spl0_11|~spl0_13|~spl0_10),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f142,f172])).
% 0.21/0.54 fof(f174,plain,(
% 0.21/0.54 $false|~spl0_11|~spl0_13|~spl0_10),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f173])).
% 0.21/0.54 fof(f175,plain,(
% 0.21/0.54 ~spl0_11|~spl0_13|~spl0_10),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f174])).
% 0.21/0.54 fof(f177,plain,(
% 0.21/0.54 ~multiply(sk_c1,sk_c6)=sk_c7|~spl0_12|~spl0_8),
% 0.21/0.54 inference(resolution,[status(thm)],[f152,f112])).
% 0.21/0.54 fof(f178,plain,(
% 0.21/0.54 ~sk_c7=sk_c7|~spl0_9|~spl0_12|~spl0_8),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f122,f177])).
% 0.21/0.54 fof(f179,plain,(
% 0.21/0.54 $false|~spl0_9|~spl0_12|~spl0_8),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f178])).
% 0.21/0.54 fof(f180,plain,(
% 0.21/0.54 ~spl0_9|~spl0_12|~spl0_8),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f179])).
% 0.21/0.54 fof(f181,plain,(
% 0.21/0.54 spl0_16 <=> sk_c6=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f183,plain,(
% 0.21/0.54 ~sk_c6=sk_c7|spl0_16),
% 0.21/0.54 inference(component_clause,[status(thm)],[f181])).
% 0.21/0.54 fof(f184,plain,(
% 0.21/0.54 ~sk_c6=sk_c7|~multiply(sk_c5,sk_c6)=sk_c7|~spl0_12|~spl0_3),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f92,f152])).
% 0.21/0.54 fof(f185,plain,(
% 0.21/0.54 ~spl0_16|~spl0_7|~spl0_12|~spl0_3),
% 0.21/0.54 inference(split_clause,[status(thm)],[f184,f181,f107,f151,f91])).
% 0.21/0.54 fof(f186,plain,(
% 0.21/0.54 spl0_17 <=> sk_c7=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f188,plain,(
% 0.21/0.54 ~sk_c7=sk_c7|spl0_17),
% 0.21/0.54 inference(component_clause,[status(thm)],[f186])).
% 0.21/0.54 fof(f189,plain,(
% 0.21/0.54 spl0_18 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f192,plain,(
% 0.21/0.54 ~sk_c7=sk_c7|~multiply(sk_c3,sk_c6)=sk_c7|~spl0_12|~spl0_2),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f88,f152])).
% 0.21/0.54 fof(f193,plain,(
% 0.21/0.54 ~spl0_17|~spl0_18|~spl0_12|~spl0_2),
% 0.21/0.54 inference(split_clause,[status(thm)],[f192,f186,f189,f151,f87])).
% 0.21/0.54 fof(f196,plain,(
% 0.21/0.54 $false|spl0_17),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f188])).
% 0.21/0.54 fof(f197,plain,(
% 0.21/0.54 spl0_17),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f196])).
% 0.21/0.54 fof(f201,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_7)),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f108,f42])).
% 0.21/0.54 fof(f204,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c6,X0))|~spl0_4)),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f96,f42])).
% 0.21/0.54 fof(f205,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c5,X0))|~spl0_11)),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f142,f42])).
% 0.21/0.54 fof(f238,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c4)=identity|~spl0_5),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f100,f41])).
% 0.21/0.54 fof(f239,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c5)=identity|~spl0_3),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f92,f41])).
% 0.21/0.54 fof(f240,plain,(
% 0.21/0.54 multiply(sk_c7,sk_c3)=identity|~spl0_2),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f88,f41])).
% 0.21/0.54 fof(f241,plain,(
% 0.21/0.54 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f41,f42])).
% 0.21/0.54 fof(f242,plain,(
% 0.21/0.54 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f241])).
% 0.21/0.54 fof(f246,plain,(
% 0.21/0.54 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_5)),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f238,f42])).
% 0.21/0.54 fof(f247,plain,(
% 0.21/0.54 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_5)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f246])).
% 0.21/0.54 fof(f259,plain,(
% 0.21/0.54 sk_c6=multiply(sk_c6,sk_c5)|~spl0_5|~spl0_4),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f96,f247])).
% 0.21/0.54 fof(f260,plain,(
% 0.21/0.54 sk_c6=identity|~spl0_3|~spl0_5|~spl0_4),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f239,f259])).
% 0.21/0.54 fof(f266,plain,(
% 0.21/0.54 ![X0]: (X0=multiply(identity,multiply(sk_c4,X0))|~spl0_3|~spl0_4|~spl0_5)),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f260,f247])).
% 0.21/0.54 fof(f267,plain,(
% 0.21/0.54 ![X0]: (X0=multiply(sk_c4,X0)|~spl0_3|~spl0_4|~spl0_5)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f266])).
% 0.21/0.54 fof(f288,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(identity,X0))|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f260,f204])).
% 0.21/0.54 fof(f289,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,X0)|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f288])).
% 0.21/0.54 fof(f294,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(identity,X0))|~spl0_3|~spl0_5|~spl0_4|~spl0_7)),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f260,f201])).
% 0.21/0.54 fof(f295,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,X0)|~spl0_3|~spl0_5|~spl0_4|~spl0_7)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f294])).
% 0.21/0.54 fof(f296,plain,(
% 0.21/0.54 ~multiply(identity,sk_c7)=sk_c5|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f260,f82])).
% 0.21/0.54 fof(f297,plain,(
% 0.21/0.54 ~sk_c7=sk_c5|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f296])).
% 0.21/0.54 fof(f299,plain,(
% 0.21/0.54 ~identity=sk_c7|~spl0_3|~spl0_5|~spl0_4|spl0_16),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f260,f183])).
% 0.21/0.54 fof(f300,plain,(
% 0.21/0.54 multiply(sk_c5,identity)=sk_c7|~spl0_3|~spl0_5|~spl0_4|~spl0_7),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f260,f108])).
% 0.21/0.54 fof(f303,plain,(
% 0.21/0.54 multiply(sk_c3,sk_c7)=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_1),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f260,f84])).
% 0.21/0.54 fof(f306,plain,(
% 0.21/0.54 multiply(sk_c4,identity)=sk_c5|~spl0_3|~spl0_5|~spl0_4),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f260,f96])).
% 0.21/0.54 fof(f329,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c5,X0)=X0|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f267,f289])).
% 0.21/0.54 fof(f332,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c7,X0)=X0|~spl0_3|~spl0_5|~spl0_4|~spl0_7)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f329,f295])).
% 0.21/0.54 fof(f335,plain,(
% 0.21/0.54 sk_c3=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_7|~spl0_2),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f332,f240])).
% 0.21/0.54 fof(f338,plain,(
% 0.21/0.54 identity=sk_c7|~spl0_3|~spl0_5|~spl0_4|~spl0_7),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f329,f300])).
% 0.21/0.54 fof(f339,plain,(
% 0.21/0.54 ~identity=sk_c5|~spl0_7|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f338,f297])).
% 0.21/0.54 fof(f342,plain,(
% 0.21/0.54 inverse(sk_c3)=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_7|~spl0_2),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f338,f88])).
% 0.21/0.54 fof(f343,plain,(
% 0.21/0.54 identity=sk_c5|~spl0_3|~spl0_5|~spl0_4),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f267,f306])).
% 0.21/0.54 fof(f358,plain,(
% 0.21/0.54 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f40,f242])).
% 0.21/0.54 fof(f371,plain,(
% 0.21/0.54 ~identity=identity|~spl0_7|~spl0_3|~spl0_5|~spl0_4|spl0_16),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f338,f299])).
% 0.21/0.54 fof(f372,plain,(
% 0.21/0.54 $false|~spl0_7|~spl0_3|~spl0_5|~spl0_4|spl0_16),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f371])).
% 0.21/0.54 fof(f373,plain,(
% 0.21/0.54 ~spl0_7|~spl0_3|~spl0_5|~spl0_4|spl0_16),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f372])).
% 0.21/0.54 fof(f376,plain,(
% 0.21/0.54 inverse(identity)=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_7|~spl0_2),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f335,f342])).
% 0.21/0.54 fof(f377,plain,(
% 0.21/0.54 ~identity=identity|~spl0_7|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f343,f339])).
% 0.21/0.54 fof(f378,plain,(
% 0.21/0.54 $false|~spl0_7|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f377])).
% 0.21/0.54 fof(f379,plain,(
% 0.21/0.54 ~spl0_7|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f378])).
% 0.21/0.54 fof(f383,plain,(
% 0.21/0.54 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_3|~spl0_5|~spl0_4|~spl0_13)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f260,f155])).
% 0.21/0.54 fof(f384,plain,(
% 0.21/0.54 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_3|~spl0_5|~spl0_4|~spl0_13)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f343,f383])).
% 0.21/0.54 fof(f385,plain,(
% 0.21/0.54 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_13)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f260,f384])).
% 0.21/0.54 fof(f397,plain,(
% 0.21/0.54 spl0_21 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f399,plain,(
% 0.21/0.54 ~multiply(sk_c1,sk_c7)=sk_c6|spl0_21),
% 0.21/0.54 inference(component_clause,[status(thm)],[f397])).
% 0.21/0.54 fof(f400,plain,(
% 0.21/0.54 ~multiply(sk_c1,sk_c7)=sk_c6|~sk_c7=sk_c7|~spl0_14|~spl0_8),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f112,f158])).
% 0.21/0.54 fof(f401,plain,(
% 0.21/0.54 ~spl0_21|~spl0_17|~spl0_14|~spl0_8),
% 0.21/0.54 inference(split_clause,[status(thm)],[f400,f397,f186,f157,f111])).
% 0.21/0.54 fof(f403,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c2)=identity|~spl0_10),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f132,f41])).
% 0.21/0.54 fof(f405,plain,(
% 0.21/0.54 multiply(sk_c7,sk_c1)=identity|~spl0_8),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f112,f41])).
% 0.21/0.54 fof(f410,plain,(
% 0.21/0.54 sk_c6=multiply(inverse(sk_c1),sk_c7)|~spl0_9),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f122,f242])).
% 0.21/0.54 fof(f411,plain,(
% 0.21/0.54 sk_c6=multiply(sk_c7,sk_c7)|~spl0_8|~spl0_9),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f112,f410])).
% 0.21/0.54 fof(f413,plain,(
% 0.21/0.54 sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_0),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f81,f242])).
% 0.21/0.54 fof(f418,plain,(
% 0.21/0.54 sk_c7=multiply(inverse(sk_c5),sk_c6)|~spl0_6),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f104,f242])).
% 0.21/0.54 fof(f419,plain,(
% 0.21/0.54 sk_c7=multiply(sk_c6,sk_c6)|~spl0_3|~spl0_6),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f92,f418])).
% 0.21/0.54 fof(f426,plain,(
% 0.21/0.54 sk_c5=multiply(inverse(sk_c2),sk_c6)|~spl0_11),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f142,f242])).
% 0.21/0.54 fof(f427,plain,(
% 0.21/0.54 sk_c5=multiply(sk_c6,sk_c6)|~spl0_10|~spl0_11),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f132,f426])).
% 0.21/0.54 fof(f438,plain,(
% 0.21/0.54 sk_c7=multiply(inverse(sk_c7),sk_c6)|~spl0_8|~spl0_9),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f411,f242])).
% 0.21/0.54 fof(f445,plain,(
% 0.21/0.54 sk_c5=sk_c7|~spl0_3|~spl0_6|~spl0_10|~spl0_11),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f419,f427])).
% 0.21/0.54 fof(f449,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c7)=identity|~spl0_6|~spl0_10|~spl0_11|~spl0_3),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f445,f239])).
% 0.21/0.54 fof(f450,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c7)=sk_c7|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f445,f81])).
% 0.21/0.54 fof(f451,plain,(
% 0.21/0.54 inverse(sk_c7)=sk_c6|~spl0_6|~spl0_10|~spl0_11|~spl0_3),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f445,f92])).
% 0.21/0.54 fof(f462,plain,(
% 0.21/0.54 identity=sk_c7|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f449,f450])).
% 0.21/0.54 fof(f466,plain,(
% 0.21/0.54 inverse(identity)=sk_c6|~spl0_0|~spl0_6|~spl0_10|~spl0_11|~spl0_3),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f462,f451])).
% 0.21/0.54 fof(f471,plain,(
% 0.21/0.54 identity=multiply(sk_c6,sk_c6)|~spl0_10|~spl0_11|~spl0_0|~spl0_3|~spl0_6),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f462,f419])).
% 0.21/0.54 fof(f482,plain,(
% 0.21/0.54 inverse(sk_c1)=identity|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0|~spl0_8),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f462,f112])).
% 0.21/0.54 fof(f483,plain,(
% 0.21/0.54 ~multiply(sk_c5,sk_c6)=identity|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0|spl0_7),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f462,f109])).
% 0.21/0.54 fof(f491,plain,(
% 0.21/0.54 ![X0]: (X0=multiply(sk_c6,X0)|~spl0_0|~spl0_6|~spl0_10|~spl0_11|~spl0_3)),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f466,f358])).
% 0.21/0.54 fof(f521,plain,(
% 0.21/0.54 identity=sk_c6|~spl0_10|~spl0_11|~spl0_0|~spl0_3|~spl0_6),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f491,f471])).
% 0.21/0.54 fof(f526,plain,(
% 0.21/0.54 ~multiply(sk_c5,identity)=identity|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0|spl0_7),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f521,f483])).
% 0.21/0.54 fof(f616,plain,(
% 0.21/0.54 sk_c6=multiply(inverse(sk_c6),sk_c5)|~spl0_10|~spl0_11),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f427,f242])).
% 0.21/0.54 fof(f619,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c7),multiply(sk_c6,X0))|~spl0_8|~spl0_9)),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f438,f42])).
% 0.21/0.54 fof(f624,plain,(
% 0.21/0.54 sk_c6=sk_c7|~spl0_0|~spl0_10|~spl0_11),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f413,f616])).
% 0.21/0.54 fof(f626,plain,(
% 0.21/0.54 sk_c7=multiply(inverse(sk_c6),sk_c6)|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_9),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f624,f438])).
% 0.21/0.54 fof(f627,plain,(
% 0.21/0.54 sk_c6=multiply(inverse(sk_c6),sk_c6)|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_9),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f624,f626])).
% 0.21/0.54 fof(f628,plain,(
% 0.21/0.54 sk_c6=identity|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_9),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f41,f627])).
% 0.21/0.54 fof(f630,plain,(
% 0.21/0.54 multiply(sk_c1,sk_c6)=sk_c6|~spl0_0|~spl0_10|~spl0_11|~spl0_9),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f624,f122])).
% 0.21/0.54 fof(f633,plain,(
% 0.21/0.54 multiply(sk_c6,sk_c1)=identity|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f624,f405])).
% 0.21/0.54 fof(f640,plain,(
% 0.21/0.54 inverse(sk_c1)=sk_c6|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f624,f112])).
% 0.21/0.54 fof(f662,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c6,X0)=multiply(inverse(sk_c7),multiply(sk_c6,X0))|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_9)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f624,f619])).
% 0.21/0.54 fof(f663,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c6,X0)=multiply(inverse(sk_c6),multiply(sk_c6,X0))|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_9)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f624,f662])).
% 0.21/0.54 fof(f664,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c6,X0)=X0|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_9)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f242,f663])).
% 0.21/0.54 fof(f665,plain,(
% 0.21/0.54 sk_c1=identity|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f664,f633])).
% 0.21/0.54 fof(f675,plain,(
% 0.21/0.54 ~multiply(sk_c5,sk_c6)=sk_c6|~spl0_0|~spl0_10|~spl0_11|spl0_6),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f624,f105])).
% 0.21/0.54 fof(f676,plain,(
% 0.21/0.54 ![X0]: (X0=multiply(sk_c2,multiply(sk_c5,X0))|~spl0_0|~spl0_10|~spl0_8|~spl0_9|~spl0_11)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f664,f205])).
% 0.21/0.54 fof(f677,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c5,X0)=multiply(inverse(sk_c2),X0)|~spl0_0|~spl0_10|~spl0_8|~spl0_9|~spl0_11)),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f676,f242])).
% 0.21/0.54 fof(f678,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,X0)|~spl0_0|~spl0_10|~spl0_8|~spl0_9|~spl0_11)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f132,f677])).
% 0.21/0.54 fof(f679,plain,(
% 0.21/0.54 ![X0]: (multiply(sk_c5,X0)=X0|~spl0_0|~spl0_10|~spl0_8|~spl0_9|~spl0_11)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f664,f678])).
% 0.21/0.54 fof(f704,plain,(
% 0.21/0.54 ~multiply(sk_c1,sk_c6)=sk_c6|~spl0_0|~spl0_10|~spl0_11|spl0_21),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f624,f399])).
% 0.21/0.54 fof(f705,plain,(
% 0.21/0.54 ~sk_c6=sk_c6|~spl0_9|~spl0_0|~spl0_10|~spl0_11|spl0_21),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f630,f704])).
% 0.21/0.54 fof(f706,plain,(
% 0.21/0.54 $false|~spl0_9|~spl0_0|~spl0_10|~spl0_11|spl0_21),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f705])).
% 0.21/0.54 fof(f707,plain,(
% 0.21/0.54 ~spl0_9|~spl0_0|~spl0_10|~spl0_11|spl0_21),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f706])).
% 0.21/0.54 fof(f732,plain,(
% 0.21/0.54 ![X0]: (X0=multiply(sk_c2,X0)|~spl0_0|~spl0_10|~spl0_8|~spl0_9|~spl0_11)),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f679,f676])).
% 0.21/0.54 fof(f738,plain,(
% 0.21/0.54 sk_c5=sk_c6|~spl0_0|~spl0_10|~spl0_8|~spl0_9|~spl0_11),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f732,f142])).
% 0.21/0.54 fof(f752,plain,(
% 0.21/0.54 ~sk_c6=sk_c6|~spl0_8|~spl0_9|~spl0_0|~spl0_10|~spl0_11|spl0_6),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f679,f675])).
% 0.21/0.54 fof(f753,plain,(
% 0.21/0.54 $false|~spl0_8|~spl0_9|~spl0_0|~spl0_10|~spl0_11|spl0_6),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f752])).
% 0.21/0.54 fof(f754,plain,(
% 0.21/0.54 ~spl0_8|~spl0_9|~spl0_0|~spl0_10|~spl0_11|spl0_6),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f753])).
% 0.21/0.54 fof(f857,plain,(
% 0.21/0.54 ~inverse(sk_c5)=identity|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_9|spl0_3),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f628,f93])).
% 0.21/0.54 fof(f863,plain,(
% 0.21/0.54 inverse(sk_c1)=identity|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f628,f640])).
% 0.21/0.54 fof(f866,plain,(
% 0.21/0.54 sk_c5=identity|~spl0_0|~spl0_10|~spl0_8|~spl0_9|~spl0_11),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f628,f738])).
% 0.21/0.54 fof(f869,plain,(
% 0.21/0.54 ~inverse(identity)=identity|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_9|spl0_3),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f866,f857])).
% 0.21/0.54 fof(f893,plain,(
% 0.21/0.54 inverse(identity)=identity|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f665,f863])).
% 0.21/0.54 fof(f894,plain,(
% 0.21/0.54 $false|spl0_3|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(forward_subsumption_resolution,[status(thm)],[f893,f869])).
% 0.21/0.54 fof(f895,plain,(
% 0.21/0.54 spl0_3|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f894])).
% 0.21/0.54 fof(f943,plain,(
% 0.21/0.54 ~multiply(identity,identity)=identity|~spl0_8|~spl0_9|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0|spl0_7),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f866,f526])).
% 0.21/0.54 fof(f944,plain,(
% 0.21/0.54 ~identity=identity|~spl0_8|~spl0_9|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0|spl0_7),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f943])).
% 0.21/0.54 fof(f945,plain,(
% 0.21/0.54 $false|~spl0_8|~spl0_9|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0|spl0_7),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f944])).
% 0.21/0.54 fof(f946,plain,(
% 0.21/0.54 ~spl0_8|~spl0_9|~spl0_3|~spl0_6|~spl0_10|~spl0_11|~spl0_0|spl0_7),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f945])).
% 0.21/0.54 fof(f963,plain,(
% 0.21/0.54 sk_c6=multiply(inverse(sk_c5),sk_c7)|~spl0_7),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f108,f242])).
% 0.21/0.54 fof(f964,plain,(
% 0.21/0.54 sk_c6=multiply(sk_c6,sk_c7)|~spl0_3|~spl0_7),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f92,f963])).
% 0.21/0.54 fof(f1023,plain,(
% 0.21/0.54 sk_c7=multiply(inverse(sk_c3),sk_c6)|~spl0_1),
% 0.21/0.54 inference(paramodulation,[status(thm)],[f84,f242])).
% 0.21/0.54 fof(f1024,plain,(
% 0.21/0.54 sk_c7=multiply(sk_c7,sk_c6)|~spl0_2|~spl0_1),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f88,f1023])).
% 0.21/0.54 fof(f1037,plain,(
% 0.21/0.54 sk_c6=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_1),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f84,f303])).
% 0.21/0.54 fof(f1058,plain,(
% 0.21/0.54 spl0_32 <=> identity=identity),
% 0.21/0.54 introduced(split_symbol_definition)).
% 0.21/0.54 fof(f1060,plain,(
% 0.21/0.54 ~identity=identity|spl0_32),
% 0.21/0.54 inference(component_clause,[status(thm)],[f1058])).
% 0.21/0.54 fof(f1067,plain,(
% 0.21/0.54 $false|spl0_32),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f1060])).
% 0.21/0.54 fof(f1068,plain,(
% 0.21/0.54 spl0_32),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f1067])).
% 0.21/0.54 fof(f1093,plain,(
% 0.21/0.54 identity=multiply(sk_c6,sk_c7)|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_7),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1037,f964])).
% 0.21/0.54 fof(f1094,plain,(
% 0.21/0.54 identity=multiply(identity,sk_c7)|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_7),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1037,f1093])).
% 0.21/0.54 fof(f1095,plain,(
% 0.21/0.54 identity=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_7),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f1094])).
% 0.21/0.54 fof(f1100,plain,(
% 0.21/0.54 inverse(sk_c3)=identity|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_7|~spl0_2),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f1095,f88])).
% 0.21/0.54 fof(f1137,plain,(
% 0.21/0.54 identity=sk_c6|~spl0_3|~spl0_6|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f482,f640])).
% 0.21/0.54 fof(f1308,plain,(
% 0.21/0.54 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=sk_c6|~spl0_3|~spl0_6|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_15)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1137,f161])).
% 0.21/0.54 fof(f1309,plain,(
% 0.21/0.54 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c6|~spl0_9|~spl0_3|~spl0_6|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_15)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f866,f1308])).
% 0.21/0.54 fof(f1310,plain,(
% 0.21/0.54 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_9|~spl0_3|~spl0_6|~spl0_0|~spl0_10|~spl0_11|~spl0_8|~spl0_15)),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1137,f1309])).
% 0.21/0.54 fof(f1311,plain,(
% 0.21/0.54 ~multiply(identity,identity)=identity|~spl0_3|~spl0_6|~spl0_15|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(resolution,[status(thm)],[f1310,f893])).
% 0.21/0.54 fof(f1312,plain,(
% 0.21/0.54 ~identity=identity|~spl0_3|~spl0_6|~spl0_15|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f1311])).
% 0.21/0.54 fof(f1313,plain,(
% 0.21/0.54 $false|~spl0_3|~spl0_6|~spl0_15|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f1312])).
% 0.21/0.54 fof(f1314,plain,(
% 0.21/0.54 ~spl0_3|~spl0_6|~spl0_15|~spl0_9|~spl0_0|~spl0_10|~spl0_11|~spl0_8),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f1313])).
% 0.21/0.54 fof(f1324,plain,(
% 0.21/0.54 identity=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_7|~spl0_2),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1100,f88])).
% 0.21/0.54 fof(f1366,plain,(
% 0.21/0.54 identity=multiply(sk_c7,sk_c6)|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1324,f1024])).
% 0.21/0.54 fof(f1367,plain,(
% 0.21/0.54 identity=multiply(identity,sk_c6)|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1324,f1366])).
% 0.21/0.54 fof(f1368,plain,(
% 0.21/0.54 identity=sk_c6|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f1367])).
% 0.21/0.54 fof(f1369,plain,(
% 0.21/0.54 ~multiply(sk_c2,sk_c5)=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1|spl0_11),
% 0.21/0.54 inference(backward_demodulation,[status(thm)],[f1368,f143])).
% 0.21/0.54 fof(f1406,plain,(
% 0.21/0.54 multiply(identity,sk_c5)=identity|~spl0_5|~spl0_4|~spl0_7|~spl0_2|~spl0_1|~spl0_3),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1368,f239])).
% 0.21/0.54 fof(f1407,plain,(
% 0.21/0.54 sk_c5=identity|~spl0_5|~spl0_4|~spl0_7|~spl0_2|~spl0_1|~spl0_3),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f1406])).
% 0.21/0.54 fof(f1422,plain,(
% 0.21/0.54 multiply(identity,sk_c2)=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1|~spl0_10),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1368,f403])).
% 0.21/0.54 fof(f1423,plain,(
% 0.21/0.54 sk_c2=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1|~spl0_10),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f1422])).
% 0.21/0.54 fof(f1450,plain,(
% 0.21/0.54 ~multiply(identity,sk_c5)=identity|~spl0_10|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1|spl0_11),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1423,f1369])).
% 0.21/0.54 fof(f1451,plain,(
% 0.21/0.54 ~sk_c5=identity|~spl0_10|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1|spl0_11),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f1450])).
% 0.21/0.54 fof(f1452,plain,(
% 0.21/0.54 ~identity=identity|~spl0_10|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1|spl0_11),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f1407,f1451])).
% 0.21/0.54 fof(f1453,plain,(
% 0.21/0.54 $false|~spl0_10|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1|spl0_11),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f1452])).
% 0.21/0.54 fof(f1454,plain,(
% 0.21/0.54 ~spl0_10|~spl0_5|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_1|spl0_11),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f1453])).
% 0.21/0.54 fof(f1516,plain,(
% 0.21/0.54 ~multiply(identity,identity)=identity|~spl0_13|~spl0_3|~spl0_5|~spl0_4|~spl0_7|~spl0_2),
% 0.21/0.54 inference(resolution,[status(thm)],[f385,f376])).
% 0.21/0.54 fof(f1517,plain,(
% 0.21/0.54 ~identity=identity|~spl0_13|~spl0_3|~spl0_5|~spl0_4|~spl0_7|~spl0_2),
% 0.21/0.54 inference(forward_demodulation,[status(thm)],[f40,f1516])).
% 0.21/0.54 fof(f1518,plain,(
% 0.21/0.54 $false|~spl0_13|~spl0_3|~spl0_5|~spl0_4|~spl0_7|~spl0_2),
% 0.21/0.54 inference(trivial_equality_resolution,[status(esa)],[f1517])).
% 0.21/0.54 fof(f1519,plain,(
% 0.21/0.54 ~spl0_13|~spl0_3|~spl0_5|~spl0_4|~spl0_7|~spl0_2),
% 0.21/0.54 inference(contradiction_clause,[status(thm)],[f1518])).
% 0.21/0.54 fof(f1520,plain,(
% 0.21/0.54 $false),
% 0.21/0.54 inference(sat_refutation,[status(thm)],[f94,f98,f102,f110,f114,f115,f116,f117,f118,f119,f120,f124,f125,f126,f127,f128,f129,f130,f134,f135,f136,f137,f138,f139,f140,f144,f145,f146,f147,f148,f150,f163,f167,f171,f175,f180,f185,f193,f197,f373,f379,f401,f707,f754,f895,f946,f1068,f1314,f1454,f1519])).
% 0.21/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.54 % Elapsed time: 0.186552 seconds
% 0.21/0.54 % CPU time: 1.367065 seconds
% 0.21/0.54 % Total memory used: 87.672 MB
% 0.21/0.54 % Net memory used: 86.507 MB
%------------------------------------------------------------------------------