TSTP Solution File: GRP236-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:49 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 00:05:50 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.43 fof(f1,axiom,(
% 0.20/0.43 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f2,axiom,(
% 0.20/0.43 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f3,axiom,(
% 0.20/0.43 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f4,negated_conjecture,(
% 0.20/0.43 inverse(sk_c8) = sk_c7 ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f5,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f6,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f7,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f8,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f9,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f10,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f11,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f12,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f13,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f14,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f15,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f17,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f18,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f19,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f20,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f22,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c2) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f23,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f24,negated_conjecture,(
% 0.20/0.43 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f25,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f27,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f28,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f29,negated_conjecture,(
% 0.20/0.43 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f30,negated_conjecture,(
% 0.20/0.43 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X4,sk_c7) != sk_c8| multiply(X5,X6) != sk_c7| inverse(X5) != X6| multiply(X6,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f31,plain,(
% 0.20/0.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.43 fof(f32,plain,(
% 0.20/0.43 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.43 fof(f33,plain,(
% 0.20/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.43 fof(f34,plain,(
% 0.20/0.43 inverse(sk_c8)=sk_c7),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.43 fof(f35,plain,(
% 0.20/0.43 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.43 fof(f36,plain,(
% 0.20/0.43 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.43 fof(f37,plain,(
% 0.20/0.43 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.43 fof(f38,plain,(
% 0.20/0.43 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.43 fof(f39,plain,(
% 0.20/0.43 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.43 fof(f40,plain,(
% 0.20/0.43 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.43 fof(f41,plain,(
% 0.20/0.43 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.43 fof(f42,plain,(
% 0.20/0.43 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.43 fof(f43,plain,(
% 0.20/0.43 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.43 fof(f44,plain,(
% 0.20/0.43 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.43 fof(f45,plain,(
% 0.20/0.43 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.43 fof(f47,plain,(
% 0.20/0.43 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.43 fof(f48,plain,(
% 0.20/0.43 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.43 fof(f49,plain,(
% 0.20/0.43 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.43 fof(f50,plain,(
% 0.20/0.43 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.43 fof(f52,plain,(
% 0.20/0.43 inverse(sk_c2)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.43 fof(f53,plain,(
% 0.20/0.43 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.43 fof(f54,plain,(
% 0.20/0.43 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.43 fof(f55,plain,(
% 0.20/0.43 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.43 fof(f57,plain,(
% 0.20/0.43 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.43 fof(f58,plain,(
% 0.20/0.43 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.43 fof(f59,plain,(
% 0.20/0.43 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.43 fof(f60,plain,(
% 0.20/0.43 ![X3]: ((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c8)=sk_c7|~inverse(X4)=sk_c8)|~multiply(X4,sk_c7)=sk_c8))|~multiply(X5,X6)=sk_c7)|~inverse(X5)=X6))|~multiply(X6,sk_c8)=sk_c7))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f30])).
% 0.20/0.43 fof(f61,plain,(
% 0.20/0.43 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f60])).
% 0.20/0.43 fof(f62,plain,(
% 0.20/0.43 spl0_0 <=> inverse(sk_c1)=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f63,plain,(
% 0.20/0.43 inverse(sk_c1)=sk_c8|~spl0_0),
% 0.20/0.43 inference(component_clause,[status(thm)],[f62])).
% 0.20/0.43 fof(f65,plain,(
% 0.20/0.43 spl0_1 <=> inverse(sk_c4)=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f66,plain,(
% 0.20/0.43 inverse(sk_c4)=sk_c8|~spl0_1),
% 0.20/0.43 inference(component_clause,[status(thm)],[f65])).
% 0.20/0.43 fof(f68,plain,(
% 0.20/0.43 spl0_0|spl0_1),
% 0.20/0.43 inference(split_clause,[status(thm)],[f35,f62,f65])).
% 0.20/0.43 fof(f69,plain,(
% 0.20/0.43 spl0_2 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f70,plain,(
% 0.20/0.43 multiply(sk_c4,sk_c7)=sk_c8|~spl0_2),
% 0.20/0.43 inference(component_clause,[status(thm)],[f69])).
% 0.20/0.43 fof(f71,plain,(
% 0.20/0.43 ~multiply(sk_c4,sk_c7)=sk_c8|spl0_2),
% 0.20/0.43 inference(component_clause,[status(thm)],[f69])).
% 0.20/0.43 fof(f72,plain,(
% 0.20/0.43 spl0_0|spl0_2),
% 0.20/0.43 inference(split_clause,[status(thm)],[f36,f62,f69])).
% 0.20/0.43 fof(f73,plain,(
% 0.20/0.43 spl0_3 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f74,plain,(
% 0.20/0.43 multiply(sk_c8,sk_c6)=sk_c7|~spl0_3),
% 0.20/0.43 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.43 fof(f76,plain,(
% 0.20/0.43 spl0_0|spl0_3),
% 0.20/0.43 inference(split_clause,[status(thm)],[f37,f62,f73])).
% 0.20/0.43 fof(f77,plain,(
% 0.20/0.43 spl0_4 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f78,plain,(
% 0.20/0.43 multiply(sk_c5,sk_c8)=sk_c6|~spl0_4),
% 0.20/0.43 inference(component_clause,[status(thm)],[f77])).
% 0.20/0.43 fof(f80,plain,(
% 0.20/0.43 spl0_0|spl0_4),
% 0.20/0.43 inference(split_clause,[status(thm)],[f38,f62,f77])).
% 0.20/0.43 fof(f81,plain,(
% 0.20/0.43 spl0_5 <=> inverse(sk_c5)=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f82,plain,(
% 0.20/0.43 inverse(sk_c5)=sk_c8|~spl0_5),
% 0.20/0.43 inference(component_clause,[status(thm)],[f81])).
% 0.20/0.43 fof(f84,plain,(
% 0.20/0.43 spl0_0|spl0_5),
% 0.20/0.43 inference(split_clause,[status(thm)],[f39,f62,f81])).
% 0.20/0.43 fof(f85,plain,(
% 0.20/0.43 spl0_6 <=> multiply(sk_c1,sk_c7)=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f86,plain,(
% 0.20/0.43 multiply(sk_c1,sk_c7)=sk_c8|~spl0_6),
% 0.20/0.43 inference(component_clause,[status(thm)],[f85])).
% 0.20/0.43 fof(f88,plain,(
% 0.20/0.43 spl0_6|spl0_1),
% 0.20/0.43 inference(split_clause,[status(thm)],[f40,f85,f65])).
% 0.20/0.43 fof(f89,plain,(
% 0.20/0.43 spl0_6|spl0_2),
% 0.20/0.43 inference(split_clause,[status(thm)],[f41,f85,f69])).
% 0.20/0.43 fof(f90,plain,(
% 0.20/0.43 spl0_6|spl0_3),
% 0.20/0.43 inference(split_clause,[status(thm)],[f42,f85,f73])).
% 0.20/0.43 fof(f91,plain,(
% 0.20/0.43 spl0_6|spl0_4),
% 0.20/0.43 inference(split_clause,[status(thm)],[f43,f85,f77])).
% 0.20/0.43 fof(f92,plain,(
% 0.20/0.43 spl0_6|spl0_5),
% 0.20/0.43 inference(split_clause,[status(thm)],[f44,f85,f81])).
% 0.20/0.43 fof(f93,plain,(
% 0.20/0.43 spl0_7 <=> multiply(sk_c2,sk_c3)=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f94,plain,(
% 0.20/0.43 multiply(sk_c2,sk_c3)=sk_c7|~spl0_7),
% 0.20/0.43 inference(component_clause,[status(thm)],[f93])).
% 0.20/0.43 fof(f96,plain,(
% 0.20/0.43 spl0_7|spl0_1),
% 0.20/0.43 inference(split_clause,[status(thm)],[f45,f93,f65])).
% 0.20/0.43 fof(f98,plain,(
% 0.20/0.43 spl0_7|spl0_3),
% 0.20/0.43 inference(split_clause,[status(thm)],[f47,f93,f73])).
% 0.20/0.43 fof(f99,plain,(
% 0.20/0.43 spl0_7|spl0_4),
% 0.20/0.43 inference(split_clause,[status(thm)],[f48,f93,f77])).
% 0.20/0.43 fof(f100,plain,(
% 0.20/0.43 spl0_7|spl0_5),
% 0.20/0.43 inference(split_clause,[status(thm)],[f49,f93,f81])).
% 0.20/0.43 fof(f101,plain,(
% 0.20/0.43 spl0_8 <=> inverse(sk_c2)=sk_c3),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f102,plain,(
% 0.20/0.43 inverse(sk_c2)=sk_c3|~spl0_8),
% 0.20/0.43 inference(component_clause,[status(thm)],[f101])).
% 0.20/0.43 fof(f104,plain,(
% 0.20/0.43 spl0_8|spl0_1),
% 0.20/0.43 inference(split_clause,[status(thm)],[f50,f101,f65])).
% 0.20/0.43 fof(f106,plain,(
% 0.20/0.43 spl0_8|spl0_3),
% 0.20/0.43 inference(split_clause,[status(thm)],[f52,f101,f73])).
% 0.20/0.43 fof(f107,plain,(
% 0.20/0.43 spl0_8|spl0_4),
% 0.20/0.43 inference(split_clause,[status(thm)],[f53,f101,f77])).
% 0.20/0.43 fof(f108,plain,(
% 0.20/0.43 spl0_8|spl0_5),
% 0.20/0.43 inference(split_clause,[status(thm)],[f54,f101,f81])).
% 0.20/0.43 fof(f109,plain,(
% 0.20/0.43 spl0_9 <=> multiply(sk_c3,sk_c8)=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f110,plain,(
% 0.20/0.43 multiply(sk_c3,sk_c8)=sk_c7|~spl0_9),
% 0.20/0.43 inference(component_clause,[status(thm)],[f109])).
% 0.20/0.43 fof(f112,plain,(
% 0.20/0.43 spl0_9|spl0_1),
% 0.20/0.43 inference(split_clause,[status(thm)],[f55,f109,f65])).
% 0.20/0.43 fof(f114,plain,(
% 0.20/0.43 spl0_9|spl0_3),
% 0.20/0.43 inference(split_clause,[status(thm)],[f57,f109,f73])).
% 0.20/0.43 fof(f115,plain,(
% 0.20/0.43 spl0_9|spl0_4),
% 0.20/0.43 inference(split_clause,[status(thm)],[f58,f109,f77])).
% 0.20/0.43 fof(f116,plain,(
% 0.20/0.43 spl0_9|spl0_5),
% 0.20/0.43 inference(split_clause,[status(thm)],[f59,f109,f81])).
% 0.20/0.43 fof(f117,plain,(
% 0.20/0.43 spl0_10 <=> inverse(sk_c8)=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f119,plain,(
% 0.20/0.43 ~inverse(sk_c8)=sk_c7|spl0_10),
% 0.20/0.43 inference(component_clause,[status(thm)],[f117])).
% 0.20/0.43 fof(f120,plain,(
% 0.20/0.43 spl0_11 <=> ~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f121,plain,(
% 0.20/0.43 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_11)),
% 0.20/0.43 inference(component_clause,[status(thm)],[f120])).
% 0.20/0.43 fof(f123,plain,(
% 0.20/0.43 spl0_12 <=> ~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f124,plain,(
% 0.20/0.43 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c7|~spl0_12)),
% 0.20/0.43 inference(component_clause,[status(thm)],[f123])).
% 0.20/0.43 fof(f126,plain,(
% 0.20/0.43 spl0_13 <=> ~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f127,plain,(
% 0.20/0.43 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.20/0.43 inference(component_clause,[status(thm)],[f126])).
% 0.20/0.43 fof(f129,plain,(
% 0.20/0.43 ~spl0_10|spl0_11|spl0_12|spl0_13),
% 0.20/0.43 inference(split_clause,[status(thm)],[f61,f117,f120,f123,f126])).
% 0.20/0.43 fof(f130,plain,(
% 0.20/0.43 ~sk_c7=sk_c7|spl0_10),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f34,f119])).
% 0.20/0.43 fof(f131,plain,(
% 0.20/0.43 $false|spl0_10),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f130])).
% 0.20/0.43 fof(f132,plain,(
% 0.20/0.43 spl0_10),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f131])).
% 0.20/0.43 fof(f133,plain,(
% 0.20/0.43 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.20/0.43 inference(destructive_equality_resolution,[status(esa)],[f127])).
% 0.20/0.43 fof(f134,plain,(
% 0.20/0.43 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~spl0_13|~spl0_4),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f78,f133])).
% 0.20/0.43 fof(f135,plain,(
% 0.20/0.43 ~spl0_3|~spl0_5|~spl0_13|~spl0_4),
% 0.20/0.43 inference(split_clause,[status(thm)],[f134,f73,f81,f126,f77])).
% 0.20/0.43 fof(f136,plain,(
% 0.20/0.43 spl0_14 <=> multiply(sk_c8,sk_c7)=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f138,plain,(
% 0.20/0.43 ~multiply(sk_c8,sk_c7)=sk_c7|spl0_14),
% 0.20/0.43 inference(component_clause,[status(thm)],[f136])).
% 0.20/0.43 fof(f139,plain,(
% 0.20/0.43 spl0_15 <=> inverse(sk_c3)=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f141,plain,(
% 0.20/0.43 ~inverse(sk_c3)=sk_c8|spl0_15),
% 0.20/0.43 inference(component_clause,[status(thm)],[f139])).
% 0.20/0.43 fof(f142,plain,(
% 0.20/0.43 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~spl0_13|~spl0_9),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f110,f133])).
% 0.20/0.43 fof(f143,plain,(
% 0.20/0.43 ~spl0_14|~spl0_15|~spl0_13|~spl0_9),
% 0.20/0.43 inference(split_clause,[status(thm)],[f142,f136,f139,f126,f109])).
% 0.20/0.43 fof(f144,plain,(
% 0.20/0.43 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~spl0_12)),
% 0.20/0.43 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.20/0.43 fof(f145,plain,(
% 0.20/0.43 ~inverse(sk_c4)=sk_c8|~spl0_11|~spl0_2),
% 0.20/0.43 inference(resolution,[status(thm)],[f121,f70])).
% 0.20/0.43 fof(f146,plain,(
% 0.20/0.43 ~sk_c8=sk_c8|~spl0_1|~spl0_11|~spl0_2),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f66,f145])).
% 0.20/0.43 fof(f147,plain,(
% 0.20/0.43 $false|~spl0_1|~spl0_11|~spl0_2),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f146])).
% 0.20/0.43 fof(f148,plain,(
% 0.20/0.43 ~spl0_1|~spl0_11|~spl0_2),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f147])).
% 0.20/0.43 fof(f149,plain,(
% 0.20/0.43 spl0_16 <=> multiply(sk_c1,inverse(sk_c1))=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f152,plain,(
% 0.20/0.43 spl0_17 <=> multiply(sk_c8,sk_c8)=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f154,plain,(
% 0.20/0.43 ~multiply(sk_c8,sk_c8)=sk_c7|spl0_17),
% 0.20/0.43 inference(component_clause,[status(thm)],[f152])).
% 0.20/0.43 fof(f155,plain,(
% 0.20/0.43 ~multiply(sk_c1,inverse(sk_c1))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~spl0_12|~spl0_0),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f63,f144])).
% 0.20/0.43 fof(f156,plain,(
% 0.20/0.43 ~spl0_16|~spl0_17|~spl0_12|~spl0_0),
% 0.20/0.43 inference(split_clause,[status(thm)],[f155,f149,f152,f123,f62])).
% 0.20/0.43 fof(f157,plain,(
% 0.20/0.43 spl0_18 <=> multiply(sk_c2,inverse(sk_c2))=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f159,plain,(
% 0.20/0.43 ~multiply(sk_c2,inverse(sk_c2))=sk_c7|spl0_18),
% 0.20/0.43 inference(component_clause,[status(thm)],[f157])).
% 0.20/0.43 fof(f160,plain,(
% 0.20/0.43 ~multiply(sk_c2,inverse(sk_c2))=sk_c7|~multiply(sk_c3,sk_c8)=sk_c7|~spl0_12|~spl0_8),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f102,f144])).
% 0.20/0.43 fof(f161,plain,(
% 0.20/0.43 ~spl0_18|~spl0_9|~spl0_12|~spl0_8),
% 0.20/0.43 inference(split_clause,[status(thm)],[f160,f157,f109,f123,f101])).
% 0.20/0.43 fof(f162,plain,(
% 0.20/0.43 spl0_19 <=> multiply(sk_c8,inverse(sk_c8))=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f164,plain,(
% 0.20/0.43 ~multiply(sk_c8,inverse(sk_c8))=sk_c7|spl0_19),
% 0.20/0.43 inference(component_clause,[status(thm)],[f162])).
% 0.20/0.43 fof(f165,plain,(
% 0.20/0.43 spl0_20 <=> multiply(sk_c7,sk_c8)=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f167,plain,(
% 0.20/0.43 ~multiply(sk_c7,sk_c8)=sk_c7|spl0_20),
% 0.20/0.43 inference(component_clause,[status(thm)],[f165])).
% 0.20/0.43 fof(f168,plain,(
% 0.20/0.43 ~multiply(sk_c8,inverse(sk_c8))=sk_c7|~multiply(sk_c7,sk_c8)=sk_c7|~spl0_12),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f34,f144])).
% 0.20/0.43 fof(f169,plain,(
% 0.20/0.43 ~spl0_19|~spl0_20|~spl0_12),
% 0.20/0.43 inference(split_clause,[status(thm)],[f168,f162,f165,f123])).
% 0.20/0.43 fof(f170,plain,(
% 0.20/0.43 ~multiply(sk_c2,sk_c3)=sk_c7|~spl0_8|spl0_18),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f102,f159])).
% 0.20/0.43 fof(f171,plain,(
% 0.20/0.43 ~sk_c7=sk_c7|~spl0_7|~spl0_8|spl0_18),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f94,f170])).
% 0.20/0.43 fof(f172,plain,(
% 0.20/0.43 $false|~spl0_7|~spl0_8|spl0_18),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f171])).
% 0.20/0.43 fof(f173,plain,(
% 0.20/0.43 ~spl0_7|~spl0_8|spl0_18),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f172])).
% 0.20/0.43 fof(f174,plain,(
% 0.20/0.43 ~multiply(sk_c8,sk_c7)=sk_c7|spl0_19),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f34,f164])).
% 0.20/0.43 fof(f176,plain,(
% 0.20/0.43 spl0_21 <=> multiply(sk_c4,inverse(sk_c4))=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f178,plain,(
% 0.20/0.43 ~multiply(sk_c4,inverse(sk_c4))=sk_c7|spl0_21),
% 0.20/0.43 inference(component_clause,[status(thm)],[f176])).
% 0.20/0.43 fof(f179,plain,(
% 0.20/0.43 ~multiply(sk_c4,inverse(sk_c4))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~spl0_12|~spl0_1),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f66,f144])).
% 0.20/0.43 fof(f180,plain,(
% 0.20/0.43 ~spl0_21|~spl0_17|~spl0_12|~spl0_1),
% 0.20/0.43 inference(split_clause,[status(thm)],[f179,f176,f152,f123,f65])).
% 0.20/0.43 fof(f181,plain,(
% 0.20/0.43 ~multiply(sk_c4,sk_c8)=sk_c7|~spl0_1|spl0_21),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f66,f178])).
% 0.20/0.43 fof(f182,plain,(
% 0.20/0.43 spl0_22 <=> multiply(sk_c5,inverse(sk_c5))=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f185,plain,(
% 0.20/0.43 ~multiply(sk_c5,inverse(sk_c5))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~spl0_12|~spl0_5),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f82,f144])).
% 0.20/0.43 fof(f186,plain,(
% 0.20/0.43 ~spl0_22|~spl0_17|~spl0_12|~spl0_5),
% 0.20/0.43 inference(split_clause,[status(thm)],[f185,f182,f152,f123,f81])).
% 0.20/0.43 fof(f196,plain,(
% 0.20/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c3,X0))|~spl0_7)),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f94,f33])).
% 0.20/0.43 fof(f221,plain,(
% 0.20/0.43 multiply(sk_c8,sk_c5)=identity|~spl0_5),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f82,f32])).
% 0.20/0.43 fof(f222,plain,(
% 0.20/0.43 multiply(sk_c8,sk_c4)=identity|~spl0_1),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f66,f32])).
% 0.20/0.43 fof(f223,plain,(
% 0.20/0.43 multiply(sk_c8,sk_c1)=identity|~spl0_0),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f63,f32])).
% 0.20/0.43 fof(f224,plain,(
% 0.20/0.43 multiply(sk_c7,sk_c8)=identity),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f34,f32])).
% 0.20/0.43 fof(f225,plain,(
% 0.20/0.43 spl0_23 <=> identity=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f227,plain,(
% 0.20/0.43 ~identity=sk_c7|spl0_23),
% 0.20/0.43 inference(component_clause,[status(thm)],[f225])).
% 0.20/0.43 fof(f230,plain,(
% 0.20/0.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f32,f33])).
% 0.20/0.43 fof(f231,plain,(
% 0.20/0.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f230])).
% 0.20/0.43 fof(f233,plain,(
% 0.20/0.43 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_5)),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f221,f33])).
% 0.20/0.43 fof(f234,plain,(
% 0.20/0.43 ![X0]: (X0=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_5)),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f233])).
% 0.20/0.43 fof(f236,plain,(
% 0.20/0.43 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_1)),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f222,f33])).
% 0.20/0.43 fof(f237,plain,(
% 0.20/0.43 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_1)),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f236])).
% 0.20/0.43 fof(f244,plain,(
% 0.20/0.43 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c8,X0)))),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f224,f33])).
% 0.20/0.43 fof(f245,plain,(
% 0.20/0.43 ![X0]: (X0=multiply(sk_c7,multiply(sk_c8,X0)))),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f244])).
% 0.20/0.43 fof(f246,plain,(
% 0.20/0.43 ~identity=sk_c7|spl0_20),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f224,f167])).
% 0.20/0.43 fof(f253,plain,(
% 0.20/0.43 sk_c8=multiply(sk_c8,sk_c6)|~spl0_5|~spl0_4),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f78,f234])).
% 0.20/0.43 fof(f254,plain,(
% 0.20/0.43 sk_c8=sk_c7|~spl0_3|~spl0_5|~spl0_4),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f74,f253])).
% 0.20/0.43 fof(f259,plain,(
% 0.20/0.43 multiply(sk_c8,sk_c8)=identity|~spl0_3|~spl0_5|~spl0_4),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f254,f224])).
% 0.20/0.43 fof(f269,plain,(
% 0.20/0.43 ~multiply(sk_c4,sk_c8)=sk_c8|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_21),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f254,f181])).
% 0.20/0.43 fof(f271,plain,(
% 0.20/0.43 multiply(sk_c4,sk_c8)=sk_c8|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f254,f70])).
% 0.20/0.43 fof(f287,plain,(
% 0.20/0.43 $false|~spl0_1|spl0_21|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.20/0.43 inference(forward_subsumption_resolution,[status(thm)],[f271,f269])).
% 0.20/0.43 fof(f288,plain,(
% 0.20/0.43 ~spl0_1|spl0_21|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f287])).
% 0.20/0.43 fof(f333,plain,(
% 0.20/0.43 ~identity=sk_c8|~spl0_3|~spl0_5|~spl0_4|spl0_23),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f254,f227])).
% 0.20/0.43 fof(f338,plain,(
% 0.20/0.43 sk_c8=multiply(inverse(sk_c4),sk_c8)|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f271,f231])).
% 0.20/0.43 fof(f339,plain,(
% 0.20/0.43 sk_c8=multiply(sk_c8,sk_c8)|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f66,f338])).
% 0.20/0.43 fof(f340,plain,(
% 0.20/0.43 sk_c8=identity|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f259,f339])).
% 0.20/0.43 fof(f341,plain,(
% 0.20/0.43 $false|spl0_23|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.20/0.43 inference(forward_subsumption_resolution,[status(thm)],[f340,f333])).
% 0.20/0.43 fof(f342,plain,(
% 0.20/0.43 spl0_23|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f341])).
% 0.20/0.43 fof(f359,plain,(
% 0.20/0.43 sk_c7=multiply(inverse(sk_c1),sk_c8)|~spl0_6),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f86,f231])).
% 0.20/0.43 fof(f360,plain,(
% 0.20/0.43 sk_c7=multiply(sk_c8,sk_c8)|~spl0_0|~spl0_6),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f63,f359])).
% 0.20/0.43 fof(f361,plain,(
% 0.20/0.43 $false|spl0_17|~spl0_0|~spl0_6),
% 0.20/0.43 inference(forward_subsumption_resolution,[status(thm)],[f360,f154])).
% 0.20/0.43 fof(f362,plain,(
% 0.20/0.43 spl0_17|~spl0_0|~spl0_6),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f361])).
% 0.20/0.43 fof(f365,plain,(
% 0.20/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c3,X0))|~spl0_7)),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f94,f33])).
% 0.20/0.43 fof(f379,plain,(
% 0.20/0.43 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c7,X0)|~spl0_1)),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f237,f245])).
% 0.20/0.43 fof(f380,plain,(
% 0.20/0.43 sk_c8=multiply(sk_c7,sk_c7)|~spl0_0|~spl0_6),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f360,f245])).
% 0.20/0.43 fof(f398,plain,(
% 0.20/0.43 ~multiply(sk_c7,sk_c7)=sk_c8|~spl0_1|spl0_2),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f379,f71])).
% 0.20/0.43 fof(f399,plain,(
% 0.20/0.43 ~sk_c8=sk_c8|~spl0_0|~spl0_6|~spl0_1|spl0_2),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f380,f398])).
% 0.20/0.43 fof(f400,plain,(
% 0.20/0.43 $false|~spl0_0|~spl0_6|~spl0_1|spl0_2),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f399])).
% 0.20/0.43 fof(f401,plain,(
% 0.20/0.43 ~spl0_0|~spl0_6|~spl0_1|spl0_2),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f400])).
% 0.20/0.43 fof(f422,plain,(
% 0.20/0.43 multiply(sk_c7,sk_c8)=multiply(sk_c2,sk_c7)|~spl0_7|~spl0_9),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f110,f196])).
% 0.20/0.43 fof(f423,plain,(
% 0.20/0.43 identity=multiply(sk_c2,sk_c7)|~spl0_7|~spl0_9),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f224,f422])).
% 0.20/0.43 fof(f429,plain,(
% 0.20/0.43 ![X0]: (multiply(identity,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_7|~spl0_9)),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f423,f33])).
% 0.20/0.43 fof(f430,plain,(
% 0.20/0.43 ![X0]: (X0=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_7|~spl0_9)),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f429])).
% 0.20/0.43 fof(f432,plain,(
% 0.20/0.43 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c2,X0)|~spl0_7|~spl0_9)),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f245,f430])).
% 0.20/0.43 fof(f440,plain,(
% 0.20/0.43 identity=multiply(sk_c8,sk_c7)|~spl0_7|~spl0_9),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f432,f423])).
% 0.20/0.43 fof(f443,plain,(
% 0.20/0.43 multiply(sk_c8,sk_c3)=sk_c7|~spl0_9|~spl0_7),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f432,f94])).
% 0.20/0.43 fof(f447,plain,(
% 0.20/0.43 ~identity=sk_c7|~spl0_7|~spl0_9|spl0_14),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f440,f138])).
% 0.20/0.43 fof(f452,plain,(
% 0.20/0.43 sk_c3=multiply(sk_c7,sk_c7)|~spl0_9|~spl0_7),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f443,f245])).
% 0.20/0.43 fof(f453,plain,(
% 0.20/0.43 sk_c3=sk_c8|~spl0_0|~spl0_6|~spl0_9|~spl0_7),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f380,f452])).
% 0.20/0.43 fof(f464,plain,(
% 0.20/0.43 spl0_30 <=> multiply(sk_c8,multiply(sk_c4,sk_c8))=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f467,plain,(
% 0.20/0.43 spl0_31 <=> sk_c8=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f469,plain,(
% 0.20/0.43 ~sk_c8=sk_c8|spl0_31),
% 0.20/0.43 inference(component_clause,[status(thm)],[f467])).
% 0.20/0.43 fof(f470,plain,(
% 0.20/0.43 ~multiply(sk_c8,multiply(sk_c4,sk_c8))=sk_c7|~sk_c8=sk_c8|~spl0_13|~spl0_1),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f66,f133])).
% 0.20/0.43 fof(f471,plain,(
% 0.20/0.43 ~spl0_30|~spl0_31|~spl0_13|~spl0_1),
% 0.20/0.43 inference(split_clause,[status(thm)],[f470,f464,f467,f126,f65])).
% 0.20/0.43 fof(f472,plain,(
% 0.20/0.43 spl0_32 <=> multiply(sk_c8,multiply(sk_c1,sk_c8))=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f475,plain,(
% 0.20/0.43 ~multiply(sk_c8,multiply(sk_c1,sk_c8))=sk_c7|~sk_c8=sk_c8|~spl0_13|~spl0_0),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f63,f133])).
% 0.20/0.43 fof(f476,plain,(
% 0.20/0.43 ~spl0_32|~spl0_31|~spl0_13|~spl0_0),
% 0.20/0.43 inference(split_clause,[status(thm)],[f475,f472,f467,f126,f62])).
% 0.20/0.43 fof(f481,plain,(
% 0.20/0.43 spl0_33 <=> multiply(sk_c8,multiply(sk_c8,sk_c8))=sk_c7),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f484,plain,(
% 0.20/0.43 spl0_34 <=> sk_c7=sk_c8),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f487,plain,(
% 0.20/0.43 ~multiply(sk_c8,multiply(sk_c8,sk_c8))=sk_c7|~sk_c7=sk_c8|~spl0_13),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f34,f133])).
% 0.20/0.43 fof(f488,plain,(
% 0.20/0.43 ~spl0_33|~spl0_34|~spl0_13),
% 0.20/0.43 inference(split_clause,[status(thm)],[f487,f481,f484,f126])).
% 0.20/0.43 fof(f493,plain,(
% 0.20/0.43 inverse(sk_c2)=sk_c8|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f453,f102])).
% 0.20/0.43 fof(f505,plain,(
% 0.20/0.43 multiply(sk_c8,sk_c2)=identity|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f493,f32])).
% 0.20/0.43 fof(f525,plain,(
% 0.20/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c3,X0))|~spl0_9|~spl0_7)),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f432,f365])).
% 0.20/0.43 fof(f526,plain,(
% 0.20/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_0|~spl0_6|~spl0_9|~spl0_7)),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f453,f525])).
% 0.20/0.43 fof(f547,plain,(
% 0.20/0.43 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8)),
% 0.20/0.43 inference(paramodulation,[status(thm)],[f505,f33])).
% 0.20/0.43 fof(f548,plain,(
% 0.20/0.43 ![X0]: (X0=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8)),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f547])).
% 0.20/0.43 fof(f549,plain,(
% 0.20/0.43 ![X0]: (X0=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8)),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f432,f548])).
% 0.20/0.43 fof(f550,plain,(
% 0.20/0.43 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8)),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f526,f549])).
% 0.20/0.43 fof(f551,plain,(
% 0.20/0.43 sk_c8=sk_c7|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_6),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f550,f380])).
% 0.20/0.43 fof(f555,plain,(
% 0.20/0.43 sk_c8=identity|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f550,f224])).
% 0.20/0.43 fof(f567,plain,(
% 0.20/0.43 identity=sk_c7|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_6),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f555,f551])).
% 0.20/0.43 fof(f568,plain,(
% 0.20/0.43 multiply(identity,sk_c2)=identity|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f555,f505])).
% 0.20/0.43 fof(f569,plain,(
% 0.20/0.43 sk_c2=identity|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f568])).
% 0.20/0.43 fof(f570,plain,(
% 0.20/0.43 inverse(sk_c2)=identity|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f555,f493])).
% 0.20/0.43 fof(f571,plain,(
% 0.20/0.43 sk_c3=identity|~spl0_8|~spl0_0|~spl0_6|~spl0_9|~spl0_7),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f555,f453])).
% 0.20/0.43 fof(f577,plain,(
% 0.20/0.43 multiply(identity,sk_c1)=identity|~spl0_6|~spl0_9|~spl0_7|~spl0_8|~spl0_0),
% 0.20/0.43 inference(backward_demodulation,[status(thm)],[f555,f223])).
% 0.20/0.43 fof(f578,plain,(
% 0.20/0.43 sk_c1=identity|~spl0_6|~spl0_9|~spl0_7|~spl0_8|~spl0_0),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f577])).
% 0.20/0.43 fof(f589,plain,(
% 0.20/0.43 inverse(identity)=identity|~spl0_0|~spl0_6|~spl0_9|~spl0_7|~spl0_8),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f569,f570])).
% 0.20/0.43 fof(f658,plain,(
% 0.20/0.43 ~identity=identity|~spl0_8|~spl0_0|~spl0_6|~spl0_7|~spl0_9|spl0_14),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f567,f447])).
% 0.20/0.43 fof(f659,plain,(
% 0.20/0.43 $false|~spl0_8|~spl0_0|~spl0_6|~spl0_7|~spl0_9|spl0_14),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f658])).
% 0.20/0.43 fof(f660,plain,(
% 0.20/0.43 ~spl0_8|~spl0_0|~spl0_6|~spl0_7|~spl0_9|spl0_14),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f659])).
% 0.20/0.43 fof(f661,plain,(
% 0.20/0.43 ~inverse(identity)=sk_c8|~spl0_8|~spl0_0|~spl0_6|~spl0_9|~spl0_7|spl0_15),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f571,f141])).
% 0.20/0.43 fof(f662,plain,(
% 0.20/0.43 ~identity=sk_c8|~spl0_8|~spl0_0|~spl0_6|~spl0_9|~spl0_7|spl0_15),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f589,f661])).
% 0.20/0.43 fof(f663,plain,(
% 0.20/0.43 ~identity=identity|~spl0_8|~spl0_0|~spl0_6|~spl0_9|~spl0_7|spl0_15),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f555,f662])).
% 0.20/0.43 fof(f664,plain,(
% 0.20/0.43 $false|~spl0_8|~spl0_0|~spl0_6|~spl0_9|~spl0_7|spl0_15),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f663])).
% 0.20/0.43 fof(f665,plain,(
% 0.20/0.43 ~spl0_8|~spl0_0|~spl0_6|~spl0_9|~spl0_7|spl0_15),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f664])).
% 0.20/0.43 fof(f673,plain,(
% 0.20/0.43 ~inverse(sk_c1)=sk_c8|~spl0_11|~spl0_6),
% 0.20/0.43 inference(resolution,[status(thm)],[f121,f86])).
% 0.20/0.43 fof(f674,plain,(
% 0.20/0.43 ~inverse(identity)=sk_c8|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_11|~spl0_6),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f578,f673])).
% 0.20/0.43 fof(f675,plain,(
% 0.20/0.43 ~identity=sk_c8|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_11|~spl0_6),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f589,f674])).
% 0.20/0.43 fof(f676,plain,(
% 0.20/0.43 ~identity=identity|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_11|~spl0_6),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f555,f675])).
% 0.20/0.43 fof(f677,plain,(
% 0.20/0.43 $false|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_11|~spl0_6),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f676])).
% 0.20/0.43 fof(f678,plain,(
% 0.20/0.43 ~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_11|~spl0_6),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f677])).
% 0.20/0.43 fof(f679,plain,(
% 0.20/0.43 ~spl0_23|spl0_20),
% 0.20/0.43 inference(split_clause,[status(thm)],[f246,f225,f165])).
% 0.20/0.43 fof(f680,plain,(
% 0.20/0.43 $false|spl0_31),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f469])).
% 0.20/0.43 fof(f681,plain,(
% 0.20/0.43 spl0_31),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f680])).
% 0.20/0.43 fof(f691,plain,(
% 0.20/0.43 identity=sk_c7|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_4),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f340,f254])).
% 0.20/0.43 fof(f695,plain,(
% 0.20/0.43 ~multiply(identity,sk_c7)=sk_c7|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2|spl0_19),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f340,f174])).
% 0.20/0.43 fof(f696,plain,(
% 0.20/0.43 ~sk_c7=sk_c7|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2|spl0_19),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f31,f695])).
% 0.20/0.43 fof(f697,plain,(
% 0.20/0.43 ~identity=sk_c7|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2|spl0_19),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f691,f696])).
% 0.20/0.43 fof(f698,plain,(
% 0.20/0.43 ~identity=identity|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2|spl0_19),
% 0.20/0.43 inference(forward_demodulation,[status(thm)],[f691,f697])).
% 0.20/0.43 fof(f699,plain,(
% 0.20/0.43 $false|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2|spl0_19),
% 0.20/0.43 inference(trivial_equality_resolution,[status(esa)],[f698])).
% 0.20/0.43 fof(f700,plain,(
% 0.20/0.43 ~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2|spl0_19),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f699])).
% 0.20/0.43 fof(f701,plain,(
% 0.20/0.43 $false),
% 0.20/0.43 inference(sat_refutation,[status(thm)],[f68,f72,f76,f80,f84,f88,f89,f90,f91,f92,f96,f98,f99,f100,f104,f106,f107,f108,f112,f114,f115,f116,f129,f132,f135,f143,f148,f156,f161,f169,f173,f180,f186,f288,f342,f362,f401,f471,f476,f488,f660,f665,f678,f679,f681,f700])).
% 0.20/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.44 % Elapsed time: 0.103933 seconds
% 0.20/0.44 % CPU time: 0.719997 seconds
% 0.20/0.44 % Total memory used: 71.189 MB
% 0.20/0.44 % Net memory used: 70.600 MB
%------------------------------------------------------------------------------