TSTP Solution File: GRP255-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP255-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Wed May 31 12:11:07 EDT 2023
% Result : Unsatisfiable 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP255-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 11:28:46 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.37 % Refutation found
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.37 fof(f1,axiom,(
% 0.15/0.37 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f2,axiom,(
% 0.15/0.37 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f3,axiom,(
% 0.15/0.37 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f4,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f5,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f6,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f7,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f8,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f9,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f10,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f11,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f12,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f13,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f14,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f15,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f16,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f17,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f18,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f19,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c2) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f20,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f21,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f22,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f23,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f24,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c3) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f25,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c3) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f26,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c3) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f27,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c3) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f28,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c3) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f29,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c3,sk_c8) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f30,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c3,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f31,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c3,sk_c8) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f32,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c3,sk_c8) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f33,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c3,sk_c8) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f34,negated_conjecture,(
% 0.15/0.37 (![X3,X4,X5,X1,X2]: (( multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(X4,sk_c7) != sk_c6| inverse(X4) != sk_c7| inverse(X5) != sk_c6| multiply(X5,sk_c8) != sk_c6| multiply(sk_c7,sk_c8) != sk_c6| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(X2,sk_c6) != sk_c7 ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f35,plain,(
% 0.15/0.37 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.37 fof(f36,plain,(
% 0.15/0.37 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.37 fof(f37,plain,(
% 0.15/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.37 fof(f38,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.37 fof(f39,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.37 fof(f40,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.37 fof(f41,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.37 fof(f42,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.37 fof(f43,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.37 fof(f44,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.37 fof(f45,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.37 fof(f46,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.37 fof(f47,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.37 fof(f48,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.37 fof(f49,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.37 fof(f50,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.37 fof(f51,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.37 fof(f52,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.37 fof(f53,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.37 fof(f54,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f20])).
% 0.15/0.37 fof(f55,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f21])).
% 0.15/0.37 fof(f56,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.37 fof(f57,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.15/0.37 fof(f58,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.37 fof(f59,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.37 fof(f60,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.37 fof(f61,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.37 fof(f62,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.37 fof(f63,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c8)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f29])).
% 0.15/0.37 fof(f64,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f30])).
% 0.15/0.37 fof(f65,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c8)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.37 fof(f66,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c8)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f32])).
% 0.15/0.37 fof(f67,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c8)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f33])).
% 0.15/0.37 fof(f68,plain,(
% 0.15/0.37 ![X2]: (((![X1]: ((((![X5]: (((![X4]: (((![X3]: (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))|~multiply(X4,sk_c7)=sk_c6)|~inverse(X4)=sk_c7))|~inverse(X5)=sk_c6)|~multiply(X5,sk_c8)=sk_c6))|~multiply(sk_c7,sk_c8)=sk_c6)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~inverse(X2)=sk_c7)|~multiply(X2,sk_c6)=sk_c7)),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f34])).
% 0.15/0.37 fof(f69,plain,(
% 0.15/0.37 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~inverse(X2)=sk_c6|~multiply(X2,sk_c8)=sk_c6|~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.15/0.37 fof(f70,plain,(
% 0.15/0.37 spl0_0 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f71,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c8)=sk_c7|~spl0_0),
% 0.15/0.37 inference(component_clause,[status(thm)],[f70])).
% 0.15/0.37 fof(f73,plain,(
% 0.15/0.37 spl0_1 <=> multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f74,plain,(
% 0.15/0.37 multiply(sk_c7,sk_c8)=sk_c6|~spl0_1),
% 0.15/0.37 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.37 fof(f75,plain,(
% 0.15/0.37 ~multiply(sk_c7,sk_c8)=sk_c6|spl0_1),
% 0.15/0.37 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.37 fof(f76,plain,(
% 0.15/0.37 spl0_0|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.15/0.37 fof(f77,plain,(
% 0.15/0.37 spl0_2 <=> inverse(sk_c4)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f78,plain,(
% 0.15/0.37 inverse(sk_c4)=sk_c8|~spl0_2),
% 0.15/0.37 inference(component_clause,[status(thm)],[f77])).
% 0.15/0.37 fof(f80,plain,(
% 0.15/0.37 spl0_0|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.15/0.37 fof(f81,plain,(
% 0.15/0.37 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f82,plain,(
% 0.15/0.37 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.15/0.37 inference(component_clause,[status(thm)],[f81])).
% 0.15/0.37 fof(f84,plain,(
% 0.15/0.37 spl0_0|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.15/0.37 fof(f85,plain,(
% 0.15/0.37 spl0_4 <=> inverse(sk_c5)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f86,plain,(
% 0.15/0.37 inverse(sk_c5)=sk_c7|~spl0_4),
% 0.15/0.37 inference(component_clause,[status(thm)],[f85])).
% 0.15/0.37 fof(f88,plain,(
% 0.15/0.37 spl0_0|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.15/0.37 fof(f89,plain,(
% 0.15/0.37 spl0_5 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f90,plain,(
% 0.15/0.37 multiply(sk_c5,sk_c6)=sk_c7|~spl0_5),
% 0.15/0.37 inference(component_clause,[status(thm)],[f89])).
% 0.15/0.37 fof(f92,plain,(
% 0.15/0.37 spl0_0|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.15/0.37 fof(f93,plain,(
% 0.15/0.37 spl0_6 <=> inverse(sk_c1)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f94,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|~spl0_6),
% 0.15/0.37 inference(component_clause,[status(thm)],[f93])).
% 0.15/0.37 fof(f96,plain,(
% 0.15/0.37 spl0_6|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.15/0.37 fof(f97,plain,(
% 0.15/0.37 spl0_6|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.15/0.37 fof(f98,plain,(
% 0.15/0.37 spl0_6|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.15/0.37 fof(f99,plain,(
% 0.15/0.37 spl0_6|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.15/0.37 fof(f100,plain,(
% 0.15/0.37 spl0_6|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.15/0.37 fof(f101,plain,(
% 0.15/0.37 spl0_7 <=> multiply(sk_c2,sk_c7)=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f102,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c6|~spl0_7),
% 0.15/0.37 inference(component_clause,[status(thm)],[f101])).
% 0.15/0.37 fof(f104,plain,(
% 0.15/0.37 spl0_7|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.15/0.37 fof(f105,plain,(
% 0.15/0.37 spl0_7|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.15/0.37 fof(f106,plain,(
% 0.15/0.37 spl0_7|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.15/0.37 fof(f107,plain,(
% 0.15/0.37 spl0_7|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.15/0.37 fof(f108,plain,(
% 0.15/0.37 spl0_7|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.15/0.37 fof(f109,plain,(
% 0.15/0.37 spl0_8 <=> inverse(sk_c2)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f110,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|~spl0_8),
% 0.15/0.37 inference(component_clause,[status(thm)],[f109])).
% 0.15/0.37 fof(f112,plain,(
% 0.15/0.37 spl0_8|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.15/0.37 fof(f113,plain,(
% 0.15/0.37 spl0_8|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.15/0.37 fof(f114,plain,(
% 0.15/0.37 spl0_8|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.15/0.37 fof(f115,plain,(
% 0.15/0.37 spl0_8|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.15/0.37 fof(f116,plain,(
% 0.15/0.37 spl0_8|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.15/0.37 fof(f117,plain,(
% 0.15/0.37 spl0_9 <=> inverse(sk_c3)=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f118,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c6|~spl0_9),
% 0.15/0.37 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.37 fof(f120,plain,(
% 0.15/0.37 spl0_9|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.15/0.37 fof(f121,plain,(
% 0.15/0.37 spl0_9|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.15/0.37 fof(f122,plain,(
% 0.15/0.37 spl0_9|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.15/0.37 fof(f123,plain,(
% 0.15/0.37 spl0_9|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.15/0.37 fof(f124,plain,(
% 0.15/0.37 spl0_9|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.15/0.37 fof(f125,plain,(
% 0.15/0.37 spl0_10 <=> multiply(sk_c3,sk_c8)=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f126,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c8)=sk_c6|~spl0_10),
% 0.15/0.37 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.37 fof(f128,plain,(
% 0.15/0.37 spl0_10|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.15/0.37 fof(f129,plain,(
% 0.15/0.37 spl0_10|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.15/0.37 fof(f130,plain,(
% 0.15/0.37 spl0_10|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.15/0.37 fof(f131,plain,(
% 0.15/0.37 spl0_10|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.15/0.37 fof(f132,plain,(
% 0.15/0.37 spl0_10|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.15/0.37 fof(f133,plain,(
% 0.15/0.37 spl0_11 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f134,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_11)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.37 fof(f136,plain,(
% 0.15/0.37 spl0_12 <=> ~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f137,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_12)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f136])).
% 0.15/0.37 fof(f139,plain,(
% 0.15/0.37 spl0_13 <=> ~inverse(X2)=sk_c6|~multiply(X2,sk_c8)=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f140,plain,(
% 0.15/0.37 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c8)=sk_c6|~spl0_13)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f139])).
% 0.15/0.37 fof(f142,plain,(
% 0.15/0.37 spl0_14 <=> ~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f143,plain,(
% 0.15/0.37 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_14)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f142])).
% 0.15/0.37 fof(f145,plain,(
% 0.15/0.37 spl0_15 <=> ~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f146,plain,(
% 0.15/0.37 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_15)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f145])).
% 0.15/0.37 fof(f148,plain,(
% 0.15/0.37 spl0_11|spl0_12|spl0_13|~spl0_1|spl0_14|spl0_15),
% 0.15/0.37 inference(split_clause,[status(thm)],[f69,f133,f136,f139,f73,f142,f145])).
% 0.15/0.37 fof(f153,plain,(
% 0.15/0.37 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.15/0.37 fof(f154,plain,(
% 0.15/0.37 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f35,f153])).
% 0.15/0.37 fof(f155,plain,(
% 0.15/0.37 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f154,f154])).
% 0.15/0.37 fof(f156,plain,(
% 0.15/0.37 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f36,f154])).
% 0.15/0.37 fof(f158,plain,(
% 0.15/0.37 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f37,f154])).
% 0.15/0.37 fof(f165,plain,(
% 0.15/0.37 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f154,f155])).
% 0.15/0.37 fof(f166,plain,(
% 0.15/0.37 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f36,f155])).
% 0.15/0.37 fof(f175,plain,(
% 0.15/0.37 inverse(identity)=identity),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f35,f166])).
% 0.15/0.37 fof(f194,plain,(
% 0.15/0.37 ![X0]: (X0=multiply(X0,identity))),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f155,f156])).
% 0.15/0.37 fof(f195,plain,(
% 0.15/0.37 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f155,f194])).
% 0.15/0.37 fof(f196,plain,(
% 0.15/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f194,f195])).
% 0.15/0.37 fof(f222,plain,(
% 0.15/0.37 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f37,f158])).
% 0.15/0.37 fof(f223,plain,(
% 0.15/0.37 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f37,f222])).
% 0.15/0.37 fof(f247,plain,(
% 0.15/0.37 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f166,f158])).
% 0.15/0.37 fof(f248,plain,(
% 0.15/0.37 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f194,f247])).
% 0.15/0.37 fof(f272,plain,(
% 0.15/0.37 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f165,f158])).
% 0.15/0.37 fof(f343,plain,(
% 0.15/0.37 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f248,f248])).
% 0.15/0.37 fof(f344,plain,(
% 0.15/0.37 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f196,f343])).
% 0.15/0.37 fof(f621,plain,(
% 0.15/0.37 inverse(sk_c7)=sk_c5|~spl0_4),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f86,f196])).
% 0.15/0.37 fof(f626,plain,(
% 0.15/0.37 inverse(sk_c8)=sk_c4|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f78,f196])).
% 0.15/0.37 fof(f627,plain,(
% 0.15/0.37 multiply(sk_c4,sk_c8)=identity|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f78,f166])).
% 0.15/0.37 fof(f629,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c4)=identity|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.15/0.37 fof(f636,plain,(
% 0.15/0.37 inverse(sk_c7)=sk_c2|~spl0_8),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f110,f196])).
% 0.15/0.37 fof(f641,plain,(
% 0.15/0.37 inverse(sk_c8)=sk_c1|~spl0_6),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f94,f196])).
% 0.15/0.37 fof(f654,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_5)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.15/0.37 fof(f659,plain,(
% 0.15/0.37 multiply(sk_c5,sk_c7)=identity|~spl0_4),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f621,f36])).
% 0.15/0.37 fof(f672,plain,(
% 0.15/0.37 sk_c4=sk_c1|~spl0_2|~spl0_6),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f626,f641])).
% 0.15/0.37 fof(f680,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c7)=sk_c8|~spl0_2|~spl0_6|~spl0_3),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f672,f82])).
% 0.15/0.37 fof(f706,plain,(
% 0.15/0.37 sk_c8=multiply(inverse(sk_c3),sk_c6)|~spl0_10),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f126,f154])).
% 0.15/0.37 fof(f707,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c6,sk_c6)|~spl0_9|~spl0_10),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f118,f706])).
% 0.15/0.37 fof(f738,plain,(
% 0.15/0.37 ~inverse(sk_c5)=sk_c7|~spl0_15|~spl0_5),
% 0.15/0.37 inference(resolution,[status(thm)],[f146,f90])).
% 0.15/0.37 fof(f739,plain,(
% 0.15/0.37 ~sk_c7=sk_c7|~spl0_4|~spl0_15|~spl0_5),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f86,f738])).
% 0.15/0.37 fof(f740,plain,(
% 0.15/0.37 $false|~spl0_4|~spl0_15|~spl0_5),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f739])).
% 0.15/0.37 fof(f741,plain,(
% 0.15/0.37 ~spl0_4|~spl0_15|~spl0_5),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f740])).
% 0.15/0.37 fof(f743,plain,(
% 0.15/0.37 ~inverse(sk_c1)=sk_c8|~spl0_14|~spl0_2|~spl0_6|~spl0_3),
% 0.15/0.37 inference(resolution,[status(thm)],[f143,f680])).
% 0.15/0.37 fof(f744,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_14|~spl0_2|~spl0_6|~spl0_3),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f94,f743])).
% 0.15/0.37 fof(f745,plain,(
% 0.15/0.37 $false|~spl0_14|~spl0_2|~spl0_6|~spl0_3),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f744])).
% 0.15/0.37 fof(f746,plain,(
% 0.15/0.37 ~spl0_14|~spl0_2|~spl0_6|~spl0_3),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f745])).
% 0.15/0.37 fof(f762,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c4)=identity|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f626,f166])).
% 0.15/0.37 fof(f770,plain,(
% 0.15/0.37 ![X0,X1]: (sk_c8=multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(X0,multiply(X1,identity)))|~spl0_2)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f627,f223])).
% 0.15/0.37 fof(f771,plain,(
% 0.15/0.37 ![X0,X1]: (sk_c8=multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(X0,X1))|~spl0_2)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f194,f770])).
% 0.15/0.37 fof(f791,plain,(
% 0.15/0.37 ![X0,X1]: (sk_c4=multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,multiply(X1,identity)))|~spl0_2)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f629,f223])).
% 0.15/0.37 fof(f792,plain,(
% 0.15/0.37 ![X0,X1]: (sk_c4=multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1))|~spl0_2)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f194,f791])).
% 0.15/0.37 fof(f876,plain,(
% 0.15/0.37 ~inverse(sk_c3)=sk_c6|~spl0_13|~spl0_10),
% 0.15/0.37 inference(resolution,[status(thm)],[f140,f126])).
% 0.15/0.37 fof(f877,plain,(
% 0.15/0.37 ~sk_c6=sk_c6|~spl0_9|~spl0_13|~spl0_10),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f118,f876])).
% 0.15/0.37 fof(f878,plain,(
% 0.15/0.37 $false|~spl0_9|~spl0_13|~spl0_10),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f877])).
% 0.15/0.37 fof(f879,plain,(
% 0.15/0.37 ~spl0_9|~spl0_13|~spl0_10),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f878])).
% 0.15/0.37 fof(f1972,plain,(
% 0.15/0.37 spl0_16 <=> identity=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f1974,plain,(
% 0.15/0.37 ~identity=sk_c7|spl0_16),
% 0.15/0.37 inference(component_clause,[status(thm)],[f1972])).
% 0.15/0.37 fof(f1979,plain,(
% 0.15/0.37 spl0_17 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f1981,plain,(
% 0.15/0.37 ~inverse(inverse(sk_c8))=sk_c8|spl0_17),
% 0.15/0.37 inference(component_clause,[status(thm)],[f1979])).
% 0.15/0.37 fof(f1982,plain,(
% 0.15/0.37 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_11),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f36,f134])).
% 0.15/0.37 fof(f1983,plain,(
% 0.15/0.37 ~spl0_16|~spl0_17|~spl0_11),
% 0.15/0.37 inference(split_clause,[status(thm)],[f1982,f1972,f1979,f133])).
% 0.15/0.37 fof(f1984,plain,(
% 0.15/0.37 spl0_18 <=> sk_c8=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f1985,plain,(
% 0.15/0.37 sk_c8=sk_c7|~spl0_18),
% 0.15/0.37 inference(component_clause,[status(thm)],[f1984])).
% 0.15/0.37 fof(f1986,plain,(
% 0.15/0.37 ~sk_c8=sk_c7|spl0_18),
% 0.15/0.37 inference(component_clause,[status(thm)],[f1984])).
% 0.15/0.37 fof(f1987,plain,(
% 0.15/0.37 spl0_19 <=> inverse(identity)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f1989,plain,(
% 0.15/0.37 ~inverse(identity)=sk_c8|spl0_19),
% 0.15/0.37 inference(component_clause,[status(thm)],[f1987])).
% 0.15/0.37 fof(f1993,plain,(
% 0.15/0.37 ~identity=sk_c8|spl0_19),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f175,f1989])).
% 0.15/0.37 fof(f1994,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|spl0_17),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f196,f1981])).
% 0.15/0.37 fof(f1995,plain,(
% 0.15/0.37 $false|spl0_17),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f1994])).
% 0.15/0.37 fof(f1996,plain,(
% 0.15/0.37 spl0_17),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f1995])).
% 0.15/0.37 fof(f2008,plain,(
% 0.15/0.37 spl0_21 <=> inverse(inverse(sk_c6))=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2009,plain,(
% 0.15/0.37 inverse(inverse(sk_c6))=sk_c7|~spl0_21),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2008])).
% 0.15/0.37 fof(f2010,plain,(
% 0.15/0.37 ~inverse(inverse(sk_c6))=sk_c7|spl0_21),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2008])).
% 0.15/0.37 fof(f2011,plain,(
% 0.15/0.37 ~inverse(inverse(sk_c6))=sk_c7|~identity=sk_c7|~spl0_15),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f36,f146])).
% 0.15/0.37 fof(f2012,plain,(
% 0.15/0.37 ~spl0_21|~spl0_16|~spl0_15),
% 0.15/0.37 inference(split_clause,[status(thm)],[f2011,f2008,f1972,f145])).
% 0.15/0.37 fof(f2013,plain,(
% 0.15/0.37 spl0_22 <=> inverse(identity)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2014,plain,(
% 0.15/0.37 inverse(identity)=sk_c7|~spl0_22),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2013])).
% 0.15/0.37 fof(f2015,plain,(
% 0.15/0.37 ~inverse(identity)=sk_c7|spl0_22),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2013])).
% 0.15/0.37 fof(f2016,plain,(
% 0.15/0.37 spl0_23 <=> sk_c6=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2017,plain,(
% 0.15/0.37 sk_c6=sk_c7|~spl0_23),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2016])).
% 0.15/0.37 fof(f2018,plain,(
% 0.15/0.37 ~sk_c6=sk_c7|spl0_23),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2016])).
% 0.15/0.37 fof(f2022,plain,(
% 0.15/0.37 ~identity=sk_c7|spl0_22),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f175,f2015])).
% 0.15/0.37 fof(f2023,plain,(
% 0.15/0.37 ~sk_c6=sk_c7|spl0_21),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f196,f2010])).
% 0.15/0.37 fof(f2030,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_3)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.15/0.37 fof(f2672,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~spl0_1)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.15/0.37 fof(f2679,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c8)=identity|~spl0_6),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f94,f166])).
% 0.15/0.37 fof(f2680,plain,(
% 0.15/0.37 sk_c7=identity|~spl0_0|~spl0_6),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f71,f2679])).
% 0.15/0.37 fof(f2681,plain,(
% 0.15/0.37 $false|spl0_16|~spl0_0|~spl0_6),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f2680,f1974])).
% 0.15/0.37 fof(f2682,plain,(
% 0.15/0.37 spl0_16|~spl0_0|~spl0_6),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f2681])).
% 0.15/0.37 fof(f2687,plain,(
% 0.15/0.37 ![X0]: (sk_c8=multiply(inverse(multiply(X0,sk_c4)),X0)|~spl0_2)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f272,f771])).
% 0.15/0.37 fof(f2688,plain,(
% 0.15/0.37 sk_c8=inverse(sk_c4)|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f248,f2687])).
% 0.15/0.37 fof(f2689,plain,(
% 0.15/0.37 ![X0]: (sk_c4=multiply(inverse(multiply(X0,sk_c8)),X0)|~spl0_2)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f272,f792])).
% 0.15/0.37 fof(f2690,plain,(
% 0.15/0.37 sk_c4=inverse(sk_c8)|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f248,f2689])).
% 0.15/0.37 fof(f2702,plain,(
% 0.15/0.37 spl0_25 <=> identity=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2704,plain,(
% 0.15/0.37 ~identity=sk_c6|spl0_25),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2702])).
% 0.15/0.37 fof(f2709,plain,(
% 0.15/0.37 spl0_26 <=> inverse(inverse(sk_c8))=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2711,plain,(
% 0.15/0.37 ~inverse(inverse(sk_c8))=sk_c6|spl0_26),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2709])).
% 0.15/0.37 fof(f2712,plain,(
% 0.15/0.37 ~inverse(inverse(sk_c8))=sk_c6|~identity=sk_c6|~spl0_13),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f36,f140])).
% 0.15/0.37 fof(f2713,plain,(
% 0.15/0.37 ~spl0_26|~spl0_25|~spl0_13),
% 0.15/0.37 inference(split_clause,[status(thm)],[f2712,f2709,f2702,f139])).
% 0.15/0.37 fof(f2714,plain,(
% 0.15/0.37 spl0_27 <=> inverse(identity)=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2716,plain,(
% 0.15/0.37 ~inverse(identity)=sk_c6|spl0_27),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2714])).
% 0.15/0.37 fof(f2717,plain,(
% 0.15/0.37 spl0_28 <=> sk_c8=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2718,plain,(
% 0.15/0.37 sk_c8=sk_c6|~spl0_28),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2717])).
% 0.15/0.37 fof(f2719,plain,(
% 0.15/0.37 ~sk_c8=sk_c6|spl0_28),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2717])).
% 0.15/0.37 fof(f2723,plain,(
% 0.15/0.37 ~identity=sk_c6|spl0_27),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f175,f2716])).
% 0.15/0.37 fof(f2724,plain,(
% 0.15/0.37 ~sk_c8=sk_c6|spl0_26),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f196,f2711])).
% 0.15/0.37 fof(f2824,plain,(
% 0.15/0.37 spl0_29 <=> sk_c6=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2826,plain,(
% 0.15/0.37 ~sk_c6=sk_c6|spl0_29),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2824])).
% 0.15/0.37 fof(f2827,plain,(
% 0.15/0.37 spl0_30 <=> inverse(sk_c7)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2829,plain,(
% 0.15/0.37 ~inverse(sk_c7)=sk_c7|spl0_30),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2827])).
% 0.15/0.37 fof(f2839,plain,(
% 0.15/0.37 spl0_32 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f2841,plain,(
% 0.15/0.37 ~inverse(inverse(sk_c7))=sk_c7|spl0_32),
% 0.15/0.37 inference(component_clause,[status(thm)],[f2839])).
% 0.15/0.37 fof(f2842,plain,(
% 0.15/0.37 ~identity=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~spl0_12),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f36,f137])).
% 0.15/0.37 fof(f2843,plain,(
% 0.15/0.37 ~spl0_25|~spl0_32|~spl0_12),
% 0.15/0.37 inference(split_clause,[status(thm)],[f2842,f2702,f2839,f136])).
% 0.15/0.37 fof(f2844,plain,(
% 0.15/0.37 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~spl0_12),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f35,f137])).
% 0.15/0.37 fof(f2845,plain,(
% 0.15/0.37 ~spl0_23|~spl0_22|~spl0_12),
% 0.15/0.37 inference(split_clause,[status(thm)],[f2844,f2016,f2013,f136])).
% 0.15/0.37 fof(f2847,plain,(
% 0.15/0.37 ~sk_c7=sk_c7|spl0_32),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f196,f2841])).
% 0.15/0.37 fof(f2848,plain,(
% 0.15/0.37 $false|spl0_32),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f2847])).
% 0.15/0.37 fof(f2849,plain,(
% 0.15/0.37 spl0_32),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f2848])).
% 0.15/0.37 fof(f2851,plain,(
% 0.15/0.37 $false|spl0_29),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f2826])).
% 0.15/0.37 fof(f2852,plain,(
% 0.15/0.37 spl0_29),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f2851])).
% 0.15/0.37 fof(f2879,plain,(
% 0.15/0.37 ![X0]: (inverse(sk_c4)=multiply(multiply(sk_c7,X0),inverse(multiply(sk_c8,X0)))|~spl0_3)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f2030,f344])).
% 0.15/0.37 fof(f2880,plain,(
% 0.15/0.37 ![X0]: (sk_c8=multiply(multiply(sk_c7,X0),inverse(multiply(sk_c8,X0)))|~spl0_2|~spl0_3)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2688,f2879])).
% 0.15/0.37 fof(f2881,plain,(
% 0.15/0.37 ![X0]: (sk_c8=multiply(sk_c7,multiply(X0,inverse(multiply(sk_c8,X0))))|~spl0_2|~spl0_3)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f37,f2880])).
% 0.15/0.37 fof(f2882,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c7,inverse(sk_c8))|~spl0_2|~spl0_3),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f344,f2881])).
% 0.15/0.37 fof(f2883,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c7,sk_c4)|~spl0_2|~spl0_3),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2690,f2882])).
% 0.15/0.37 fof(f2890,plain,(
% 0.15/0.37 multiply(sk_c6,sk_c4)=multiply(sk_c7,identity)|~spl0_1|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f762,f2672])).
% 0.15/0.37 fof(f2891,plain,(
% 0.15/0.37 multiply(sk_c6,sk_c4)=sk_c7|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f194,f2890])).
% 0.15/0.37 fof(f3382,plain,(
% 0.15/0.37 multiply(sk_c7,sk_c4)=multiply(sk_c5,sk_c7)|~spl0_5|~spl0_1|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f2891,f654])).
% 0.15/0.37 fof(f3383,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c5,sk_c7)|~spl0_3|~spl0_5|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2883,f3382])).
% 0.15/0.37 fof(f3384,plain,(
% 0.15/0.37 sk_c8=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f659,f3383])).
% 0.15/0.37 fof(f3385,plain,(
% 0.15/0.37 $false|spl0_19|~spl0_4|~spl0_3|~spl0_5|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f3384,f1993])).
% 0.15/0.37 fof(f3386,plain,(
% 0.15/0.37 spl0_19|~spl0_4|~spl0_3|~spl0_5|~spl0_1|~spl0_2),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f3385])).
% 0.15/0.37 fof(f3397,plain,(
% 0.15/0.37 inverse(sk_c4)=multiply(inverse(sk_c7),sk_c6)|~spl0_1|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f2891,f248])).
% 0.15/0.37 fof(f3398,plain,(
% 0.15/0.37 sk_c8=multiply(inverse(sk_c7),sk_c6)|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2688,f3397])).
% 0.15/0.37 fof(f3399,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c5,sk_c6)|~spl0_4|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f621,f3398])).
% 0.15/0.37 fof(f3400,plain,(
% 0.15/0.37 sk_c8=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f90,f3399])).
% 0.15/0.37 fof(f3401,plain,(
% 0.15/0.37 $false|spl0_18|~spl0_5|~spl0_4|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f3400,f1986])).
% 0.15/0.37 fof(f3402,plain,(
% 0.15/0.37 spl0_18|~spl0_5|~spl0_4|~spl0_1|~spl0_2),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f3401])).
% 0.15/0.37 fof(f3426,plain,(
% 0.15/0.37 multiply(sk_c7,identity)=sk_c6|~spl0_4|~spl0_3|~spl0_5|~spl0_2|~spl0_1),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f3384,f74])).
% 0.15/0.37 fof(f3427,plain,(
% 0.15/0.37 sk_c7=sk_c6|~spl0_4|~spl0_3|~spl0_5|~spl0_2|~spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f194,f3426])).
% 0.15/0.37 fof(f3428,plain,(
% 0.15/0.37 $false|spl0_23|~spl0_4|~spl0_3|~spl0_5|~spl0_2|~spl0_1),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f3427,f2018])).
% 0.15/0.37 fof(f3429,plain,(
% 0.15/0.37 spl0_23|~spl0_4|~spl0_3|~spl0_5|~spl0_2|~spl0_1),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f3428])).
% 0.15/0.37 fof(f3431,plain,(
% 0.15/0.37 ~spl0_23|spl0_21),
% 0.15/0.37 inference(split_clause,[status(thm)],[f2023,f2016,f2008])).
% 0.15/0.37 fof(f3432,plain,(
% 0.15/0.37 sk_c6=sk_c7|~spl0_21),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f196,f2009])).
% 0.15/0.37 fof(f3433,plain,(
% 0.15/0.37 identity=sk_c7|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f3384,f3400])).
% 0.15/0.37 fof(f3434,plain,(
% 0.15/0.37 $false|spl0_16|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f3433,f1974])).
% 0.15/0.37 fof(f3435,plain,(
% 0.15/0.37 spl0_16|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f3434])).
% 0.15/0.37 fof(f3436,plain,(
% 0.15/0.37 ~spl0_16|spl0_22),
% 0.15/0.37 inference(split_clause,[status(thm)],[f2022,f1972,f2013])).
% 0.15/0.37 fof(f3453,plain,(
% 0.15/0.37 identity=sk_c7|~spl0_22),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f175,f2014])).
% 0.15/0.37 fof(f4071,plain,(
% 0.15/0.37 ~sk_c8=identity|~spl0_0|~spl0_6|spl0_18),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2680,f1986])).
% 0.15/0.37 fof(f4072,plain,(
% 0.15/0.37 ~inverse(identity)=sk_c7|~spl0_0|~spl0_6|spl0_30),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2680,f2829])).
% 0.15/0.37 fof(f4073,plain,(
% 0.15/0.37 ~identity=sk_c7|~spl0_0|~spl0_6|spl0_30),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f175,f4072])).
% 0.15/0.37 fof(f4074,plain,(
% 0.15/0.37 ~identity=identity|~spl0_0|~spl0_6|spl0_30),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2680,f4073])).
% 0.15/0.37 fof(f4075,plain,(
% 0.15/0.37 $false|~spl0_0|~spl0_6|spl0_30),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f4074])).
% 0.15/0.37 fof(f4076,plain,(
% 0.15/0.37 ~spl0_0|~spl0_6|spl0_30),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f4075])).
% 0.15/0.37 fof(f4079,plain,(
% 0.15/0.37 multiply(sk_c2,identity)=sk_c6|~spl0_0|~spl0_6|~spl0_7),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2680,f102])).
% 0.15/0.37 fof(f4080,plain,(
% 0.15/0.37 sk_c2=sk_c6|~spl0_0|~spl0_6|~spl0_7),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f194,f4079])).
% 0.15/0.37 fof(f4081,plain,(
% 0.15/0.37 inverse(identity)=sk_c2|~spl0_0|~spl0_6|~spl0_8),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2680,f636])).
% 0.15/0.37 fof(f4082,plain,(
% 0.15/0.37 identity=sk_c2|~spl0_0|~spl0_6|~spl0_8),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f175,f4081])).
% 0.15/0.37 fof(f4083,plain,(
% 0.15/0.37 identity=sk_c6|~spl0_7|~spl0_0|~spl0_6|~spl0_8),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4080,f4082])).
% 0.15/0.37 fof(f4086,plain,(
% 0.15/0.37 ~sk_c6=identity|~spl0_0|~spl0_6|spl0_23),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f2680,f2018])).
% 0.15/0.37 fof(f4090,plain,(
% 0.15/0.37 ~identity=identity|~spl0_7|~spl0_8|~spl0_0|~spl0_6|spl0_23),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4083,f4086])).
% 0.15/0.37 fof(f4091,plain,(
% 0.15/0.37 $false|~spl0_7|~spl0_8|~spl0_0|~spl0_6|spl0_23),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f4090])).
% 0.15/0.37 fof(f4092,plain,(
% 0.15/0.37 ~spl0_7|~spl0_8|~spl0_0|~spl0_6|spl0_23),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f4091])).
% 0.15/0.37 fof(f4093,plain,(
% 0.15/0.37 ~identity=sk_c6|~spl0_4|~spl0_3|~spl0_5|~spl0_1|~spl0_2|spl0_28),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f3384,f2719])).
% 0.15/0.37 fof(f4115,plain,(
% 0.15/0.37 sk_c6=sk_c8|~spl0_18|~spl0_23),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f1985,f2017])).
% 0.15/0.37 fof(f4136,plain,(
% 0.15/0.37 sk_c6=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_21),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f3433,f3432])).
% 0.15/0.37 fof(f4137,plain,(
% 0.15/0.37 $false|spl0_28|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_21),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f4136,f4093])).
% 0.15/0.37 fof(f4138,plain,(
% 0.15/0.37 spl0_28|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_21),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f4137])).
% 0.15/0.37 fof(f4149,plain,(
% 0.15/0.37 spl0_34 <=> inverse(inverse(sk_c7))=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f4151,plain,(
% 0.15/0.37 ~inverse(inverse(sk_c7))=sk_c8|spl0_34),
% 0.15/0.37 inference(component_clause,[status(thm)],[f4149])).
% 0.15/0.37 fof(f4152,plain,(
% 0.15/0.37 spl0_35 <=> identity=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f4154,plain,(
% 0.15/0.37 ~identity=sk_c8|spl0_35),
% 0.15/0.37 inference(component_clause,[status(thm)],[f4152])).
% 0.15/0.37 fof(f4155,plain,(
% 0.15/0.37 ~inverse(inverse(sk_c7))=sk_c8|~identity=sk_c8|~spl0_14),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f36,f143])).
% 0.15/0.37 fof(f4156,plain,(
% 0.15/0.37 ~spl0_34|~spl0_35|~spl0_14),
% 0.15/0.37 inference(split_clause,[status(thm)],[f4155,f4149,f4152,f142])).
% 0.15/0.37 fof(f4157,plain,(
% 0.15/0.37 ~inverse(identity)=sk_c8|~sk_c7=sk_c8|~spl0_14),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f35,f143])).
% 0.15/0.37 fof(f4158,plain,(
% 0.15/0.37 ~spl0_19|~spl0_18|~spl0_14),
% 0.15/0.37 inference(split_clause,[status(thm)],[f4157,f1987,f1984,f142])).
% 0.15/0.37 fof(f4160,plain,(
% 0.15/0.37 ~sk_c7=sk_c8|spl0_34),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f196,f4151])).
% 0.15/0.37 fof(f4161,plain,(
% 0.15/0.37 sk_c6=identity|~spl0_22|~spl0_21),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f3453,f3432])).
% 0.15/0.37 fof(f4163,plain,(
% 0.15/0.37 multiply(identity,sk_c8)=sk_c6|~spl0_22|~spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f3453,f74])).
% 0.15/0.37 fof(f4164,plain,(
% 0.15/0.37 sk_c8=sk_c6|~spl0_22|~spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f35,f4163])).
% 0.15/0.37 fof(f4165,plain,(
% 0.15/0.37 sk_c8=identity|~spl0_21|~spl0_22|~spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4161,f4164])).
% 0.15/0.37 fof(f4166,plain,(
% 0.15/0.37 $false|~spl0_0|~spl0_6|spl0_18|~spl0_21|~spl0_22|~spl0_1),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f4165,f4071])).
% 0.15/0.37 fof(f4167,plain,(
% 0.15/0.37 ~spl0_0|~spl0_6|spl0_18|~spl0_21|~spl0_22|~spl0_1),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f4166])).
% 0.15/0.37 fof(f4172,plain,(
% 0.15/0.37 ~spl0_28|spl0_26),
% 0.15/0.37 inference(split_clause,[status(thm)],[f2724,f2717,f2709])).
% 0.15/0.37 fof(f4272,plain,(
% 0.15/0.37 identity=sk_c8|~spl0_22|~spl0_21|~spl0_18|~spl0_23),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4161,f4115])).
% 0.15/0.37 fof(f4274,plain,(
% 0.15/0.37 sk_c8=identity|~spl0_22|~spl0_21|~spl0_28),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4161,f2718])).
% 0.15/0.37 fof(f4630,plain,(
% 0.15/0.37 ~identity=identity|~spl0_22|~spl0_21|spl0_27),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4161,f2723])).
% 0.15/0.37 fof(f4631,plain,(
% 0.15/0.37 $false|~spl0_22|~spl0_21|spl0_27),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f4630])).
% 0.15/0.37 fof(f4632,plain,(
% 0.15/0.37 ~spl0_22|~spl0_21|spl0_27),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f4631])).
% 0.15/0.37 fof(f4633,plain,(
% 0.15/0.37 ~spl0_18|spl0_34),
% 0.15/0.37 inference(split_clause,[status(thm)],[f4160,f1984,f4149])).
% 0.15/0.37 fof(f4638,plain,(
% 0.15/0.37 ~sk_c8=identity|~spl0_7|~spl0_0|~spl0_6|~spl0_8|spl0_28),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f4083,f2719])).
% 0.15/0.37 fof(f4639,plain,(
% 0.15/0.37 ~multiply(identity,sk_c8)=sk_c6|~spl0_22|spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f3453,f75])).
% 0.15/0.37 fof(f4640,plain,(
% 0.15/0.37 ~sk_c8=sk_c6|~spl0_22|spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f35,f4639])).
% 0.15/0.37 fof(f4641,plain,(
% 0.15/0.37 ~sk_c8=identity|~spl0_21|~spl0_22|spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4161,f4640])).
% 0.15/0.37 fof(f4678,plain,(
% 0.15/0.37 sk_c8=multiply(identity,sk_c6)|~spl0_22|~spl0_21|~spl0_9|~spl0_10),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4161,f707])).
% 0.15/0.37 fof(f4679,plain,(
% 0.15/0.37 sk_c8=sk_c6|~spl0_22|~spl0_21|~spl0_9|~spl0_10),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f35,f4678])).
% 0.15/0.37 fof(f4680,plain,(
% 0.15/0.37 sk_c8=identity|~spl0_22|~spl0_21|~spl0_9|~spl0_10),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4161,f4679])).
% 0.15/0.37 fof(f6665,plain,(
% 0.15/0.37 ~identity=identity|~spl0_22|~spl0_21|~spl0_18|~spl0_23|~spl0_7|~spl0_0|~spl0_6|~spl0_8|spl0_28),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f4272,f4638])).
% 0.15/0.37 fof(f6666,plain,(
% 0.15/0.37 $false|~spl0_22|~spl0_21|~spl0_18|~spl0_23|~spl0_7|~spl0_0|~spl0_6|~spl0_8|spl0_28),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f6665])).
% 0.15/0.37 fof(f6667,plain,(
% 0.15/0.37 ~spl0_22|~spl0_21|~spl0_18|~spl0_23|~spl0_7|~spl0_0|~spl0_6|~spl0_8|spl0_28),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f6666])).
% 0.15/0.37 fof(f6668,plain,(
% 0.15/0.37 ~identity=identity|~spl0_22|~spl0_21|spl0_25),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f4161,f2704])).
% 0.15/0.41 fof(f6669,plain,(
% 0.15/0.41 $false|~spl0_22|~spl0_21|spl0_25),
% 0.15/0.41 inference(trivial_equality_resolution,[status(esa)],[f6668])).
% 0.15/0.41 fof(f6670,plain,(
% 0.15/0.41 ~spl0_22|~spl0_21|spl0_25),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f6669])).
% 0.15/0.41 fof(f6687,plain,(
% 0.15/0.41 $false|spl0_1|~spl0_22|~spl0_21|~spl0_9|~spl0_10),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f4680,f4641])).
% 0.15/0.41 fof(f6688,plain,(
% 0.15/0.41 spl0_1|~spl0_22|~spl0_21|~spl0_9|~spl0_10),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f6687])).
% 0.15/0.41 fof(f6809,plain,(
% 0.15/0.41 $false|spl0_35|~spl0_22|~spl0_21|~spl0_28),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f4274,f4154])).
% 0.15/0.41 fof(f6810,plain,(
% 0.15/0.41 spl0_35|~spl0_22|~spl0_21|~spl0_28),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f6809])).
% 0.15/0.41 fof(f6811,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f148,f741,f746,f879,f1983,f1996,f2012,f2682,f2713,f2843,f2845,f2849,f2852,f3386,f3402,f3429,f3431,f3435,f3436,f4076,f4092,f4138,f4156,f4158,f4167,f4172,f4632,f4633,f6667,f6670,f6688,f6810])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.104616 seconds
% 0.15/0.41 % CPU time: 0.146258 seconds
% 0.15/0.41 % Memory used: 20.906 MB
%------------------------------------------------------------------------------