TSTP Solution File: GRP368-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP368-1 : 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 20:20:13 EDT 2024
% Result : Unsatisfiable 0.16s 0.56s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:19:50 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.16/0.56 % Refutation found
% 0.16/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.56 fof(f1,axiom,(
% 0.16/0.56 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f2,axiom,(
% 0.16/0.56 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f3,axiom,(
% 0.16/0.56 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f4,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f5,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c5,sk_c7) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f6,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f9,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f10,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f11,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f12,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f13,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f14,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f15,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c6) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f16,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f17,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f18,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f19,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f20,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c1) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f21,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c1) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f22,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f23,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f24,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c3,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f25,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c3,sk_c5) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f26,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c3,sk_c5) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f27,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c3,sk_c5) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f28,negated_conjecture,(
% 0.16/0.56 ( multiply(sk_c3,sk_c5) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f29,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c3) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f30,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c3) = sk_c5| inverse(sk_c6) = sk_c5 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f31,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c3) = sk_c5| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f32,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c3) = sk_c5| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f33,negated_conjecture,(
% 0.16/0.56 ( inverse(sk_c3) = sk_c5| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f34,negated_conjecture,(
% 0.16/0.56 (![X2,X3,X4,X1]: (( multiply(sk_c5,sk_c7) != sk_c6| multiply(sk_c7,X2) != sk_c6| multiply(X3,sk_c7) != X2| inverse(X3) != sk_c7| multiply(X4,sk_c5) != sk_c7| inverse(X4) != sk_c5| multiply(sk_c6,sk_c7) != sk_c5| inverse(sk_c6) != sk_c5| multiply(sk_c7,sk_c5) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7 ) ))),
% 0.16/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f35,plain,(
% 0.16/0.56 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.56 fof(f36,plain,(
% 0.16/0.56 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.56 fof(f37,plain,(
% 0.16/0.56 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.56 fof(f38,plain,(
% 0.16/0.56 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.56 fof(f39,plain,(
% 0.16/0.56 multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.56 fof(f40,plain,(
% 0.16/0.56 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.56 fof(f43,plain,(
% 0.16/0.56 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.56 fof(f44,plain,(
% 0.16/0.56 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f10])).
% 0.16/0.56 fof(f45,plain,(
% 0.16/0.56 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.56 fof(f46,plain,(
% 0.16/0.56 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.56 fof(f47,plain,(
% 0.16/0.56 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.56 fof(f48,plain,(
% 0.16/0.56 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.56 fof(f49,plain,(
% 0.16/0.56 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c6)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f15])).
% 0.16/0.56 fof(f50,plain,(
% 0.16/0.56 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c7,sk_c5)=sk_c6),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.56 fof(f51,plain,(
% 0.16/0.56 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c4)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.56 fof(f52,plain,(
% 0.16/0.56 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c4,sk_c6)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.56 fof(f53,plain,(
% 0.16/0.56 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.56 fof(f54,plain,(
% 0.16/0.56 inverse(sk_c1)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.56 fof(f55,plain,(
% 0.16/0.56 inverse(sk_c1)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.56 fof(f56,plain,(
% 0.16/0.56 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.56 fof(f57,plain,(
% 0.16/0.56 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.56 fof(f58,plain,(
% 0.16/0.56 multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.56 fof(f59,plain,(
% 0.16/0.56 multiply(sk_c3,sk_c5)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f25])).
% 0.16/0.56 fof(f60,plain,(
% 0.16/0.56 multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f26])).
% 0.16/0.56 fof(f61,plain,(
% 0.16/0.56 multiply(sk_c3,sk_c5)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.56 fof(f62,plain,(
% 0.16/0.56 multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.56 fof(f63,plain,(
% 0.16/0.56 inverse(sk_c3)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f29])).
% 0.16/0.56 fof(f64,plain,(
% 0.16/0.56 inverse(sk_c3)=sk_c5|inverse(sk_c6)=sk_c5),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f30])).
% 0.16/0.56 fof(f65,plain,(
% 0.16/0.56 inverse(sk_c3)=sk_c5|multiply(sk_c7,sk_c5)=sk_c6),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.56 fof(f66,plain,(
% 0.16/0.56 inverse(sk_c3)=sk_c5|inverse(sk_c4)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f32])).
% 0.16/0.56 fof(f67,plain,(
% 0.16/0.56 inverse(sk_c3)=sk_c5|multiply(sk_c4,sk_c6)=sk_c7),
% 0.16/0.56 inference(cnf_transformation,[status(esa)],[f33])).
% 0.16/0.56 fof(f68,plain,(
% 0.16/0.56 ![X1]: ((((((![X4]: (((![X3]: ((![X2]: ((~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c7,X2)=sk_c6)|~multiply(X3,sk_c7)=X2))|~inverse(X3)=sk_c7))|~multiply(X4,sk_c5)=sk_c7)|~inverse(X4)=sk_c5))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(sk_c6)=sk_c5)|~multiply(sk_c7,sk_c5)=sk_c6)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7)),
% 1.74/0.56 inference(miniscoping,[status(esa)],[f34])).
% 1.74/0.56 fof(f69,plain,(
% 1.74/0.56 ![X0,X1,X2,X3]: (~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~multiply(X2,sk_c5)=sk_c7|~inverse(X2)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(sk_c6)=sk_c5|~multiply(sk_c7,sk_c5)=sk_c6|~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7)),
% 1.74/0.56 inference(cnf_transformation,[status(esa)],[f68])).
% 1.74/0.56 fof(f70,plain,(
% 1.74/0.56 spl0_0 <=> multiply(sk_c5,sk_c7)=sk_c6),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f71,plain,(
% 1.74/0.56 multiply(sk_c5,sk_c7)=sk_c6|~spl0_0),
% 1.74/0.56 inference(component_clause,[status(thm)],[f70])).
% 1.74/0.56 fof(f72,plain,(
% 1.74/0.56 ~multiply(sk_c5,sk_c7)=sk_c6|spl0_0),
% 1.74/0.56 inference(component_clause,[status(thm)],[f70])).
% 1.74/0.56 fof(f73,plain,(
% 1.74/0.56 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f74,plain,(
% 1.74/0.56 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 1.74/0.56 inference(component_clause,[status(thm)],[f73])).
% 1.74/0.56 fof(f75,plain,(
% 1.74/0.56 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 1.74/0.56 inference(component_clause,[status(thm)],[f73])).
% 1.74/0.56 fof(f76,plain,(
% 1.74/0.56 spl0_0|spl0_1),
% 1.74/0.56 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 1.74/0.56 fof(f77,plain,(
% 1.74/0.56 spl0_2 <=> inverse(sk_c6)=sk_c5),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f78,plain,(
% 1.74/0.56 inverse(sk_c6)=sk_c5|~spl0_2),
% 1.74/0.56 inference(component_clause,[status(thm)],[f77])).
% 1.74/0.56 fof(f79,plain,(
% 1.74/0.56 ~inverse(sk_c6)=sk_c5|spl0_2),
% 1.74/0.56 inference(component_clause,[status(thm)],[f77])).
% 1.74/0.56 fof(f80,plain,(
% 1.74/0.56 spl0_0|spl0_2),
% 1.74/0.56 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 1.74/0.56 fof(f81,plain,(
% 1.74/0.56 spl0_3 <=> multiply(sk_c7,sk_c5)=sk_c6),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f82,plain,(
% 1.74/0.56 multiply(sk_c7,sk_c5)=sk_c6|~spl0_3),
% 1.74/0.56 inference(component_clause,[status(thm)],[f81])).
% 1.74/0.56 fof(f83,plain,(
% 1.74/0.56 ~multiply(sk_c7,sk_c5)=sk_c6|spl0_3),
% 1.74/0.56 inference(component_clause,[status(thm)],[f81])).
% 1.74/0.56 fof(f84,plain,(
% 1.74/0.56 spl0_0|spl0_3),
% 1.74/0.56 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 1.74/0.56 fof(f85,plain,(
% 1.74/0.56 spl0_4 <=> inverse(sk_c4)=sk_c7),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f86,plain,(
% 1.74/0.56 inverse(sk_c4)=sk_c7|~spl0_4),
% 1.74/0.56 inference(component_clause,[status(thm)],[f85])).
% 1.74/0.56 fof(f89,plain,(
% 1.74/0.56 spl0_5 <=> multiply(sk_c4,sk_c6)=sk_c7),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f90,plain,(
% 1.74/0.56 multiply(sk_c4,sk_c6)=sk_c7|~spl0_5),
% 1.74/0.56 inference(component_clause,[status(thm)],[f89])).
% 1.74/0.56 fof(f93,plain,(
% 1.74/0.56 spl0_6 <=> multiply(sk_c7,sk_c2)=sk_c6),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f94,plain,(
% 1.74/0.56 multiply(sk_c7,sk_c2)=sk_c6|~spl0_6),
% 1.74/0.56 inference(component_clause,[status(thm)],[f93])).
% 1.74/0.56 fof(f96,plain,(
% 1.74/0.56 spl0_6|spl0_1),
% 1.74/0.56 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 1.74/0.56 fof(f97,plain,(
% 1.74/0.56 spl0_6|spl0_2),
% 1.74/0.56 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 1.74/0.56 fof(f98,plain,(
% 1.74/0.56 spl0_6|spl0_3),
% 1.74/0.56 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 1.74/0.56 fof(f99,plain,(
% 1.74/0.56 spl0_6|spl0_4),
% 1.74/0.56 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 1.74/0.56 fof(f100,plain,(
% 1.74/0.56 spl0_6|spl0_5),
% 1.74/0.56 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 1.74/0.56 fof(f101,plain,(
% 1.74/0.56 spl0_7 <=> multiply(sk_c1,sk_c7)=sk_c2),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f102,plain,(
% 1.74/0.56 multiply(sk_c1,sk_c7)=sk_c2|~spl0_7),
% 1.74/0.56 inference(component_clause,[status(thm)],[f101])).
% 1.74/0.56 fof(f104,plain,(
% 1.74/0.56 spl0_7|spl0_1),
% 1.74/0.56 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 1.74/0.56 fof(f105,plain,(
% 1.74/0.56 spl0_7|spl0_2),
% 1.74/0.56 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 1.74/0.56 fof(f106,plain,(
% 1.74/0.56 spl0_7|spl0_3),
% 1.74/0.56 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 1.74/0.56 fof(f107,plain,(
% 1.74/0.56 spl0_7|spl0_4),
% 1.74/0.56 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 1.74/0.56 fof(f108,plain,(
% 1.74/0.56 spl0_7|spl0_5),
% 1.74/0.56 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 1.74/0.56 fof(f109,plain,(
% 1.74/0.56 spl0_8 <=> inverse(sk_c1)=sk_c7),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f110,plain,(
% 1.74/0.56 inverse(sk_c1)=sk_c7|~spl0_8),
% 1.74/0.56 inference(component_clause,[status(thm)],[f109])).
% 1.74/0.56 fof(f112,plain,(
% 1.74/0.56 spl0_8|spl0_1),
% 1.74/0.56 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 1.74/0.56 fof(f113,plain,(
% 1.74/0.56 spl0_8|spl0_2),
% 1.74/0.56 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 1.74/0.56 fof(f114,plain,(
% 1.74/0.56 spl0_8|spl0_3),
% 1.74/0.56 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 1.74/0.56 fof(f115,plain,(
% 1.74/0.56 spl0_8|spl0_4),
% 1.74/0.56 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 1.74/0.56 fof(f116,plain,(
% 1.74/0.56 spl0_8|spl0_5),
% 1.74/0.56 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 1.74/0.56 fof(f117,plain,(
% 1.74/0.56 spl0_9 <=> multiply(sk_c3,sk_c5)=sk_c7),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f118,plain,(
% 1.74/0.56 multiply(sk_c3,sk_c5)=sk_c7|~spl0_9),
% 1.74/0.56 inference(component_clause,[status(thm)],[f117])).
% 1.74/0.56 fof(f120,plain,(
% 1.74/0.56 spl0_9|spl0_1),
% 1.74/0.56 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 1.74/0.56 fof(f121,plain,(
% 1.74/0.56 spl0_9|spl0_2),
% 1.74/0.56 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 1.74/0.56 fof(f122,plain,(
% 1.74/0.56 spl0_9|spl0_3),
% 1.74/0.56 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 1.74/0.56 fof(f123,plain,(
% 1.74/0.56 spl0_9|spl0_4),
% 1.74/0.56 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 1.74/0.56 fof(f124,plain,(
% 1.74/0.56 spl0_9|spl0_5),
% 1.74/0.56 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 1.74/0.56 fof(f125,plain,(
% 1.74/0.56 spl0_10 <=> inverse(sk_c3)=sk_c5),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f126,plain,(
% 1.74/0.56 inverse(sk_c3)=sk_c5|~spl0_10),
% 1.74/0.56 inference(component_clause,[status(thm)],[f125])).
% 1.74/0.56 fof(f128,plain,(
% 1.74/0.56 spl0_10|spl0_1),
% 1.74/0.56 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 1.74/0.56 fof(f129,plain,(
% 1.74/0.56 spl0_10|spl0_2),
% 1.74/0.56 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 1.74/0.56 fof(f130,plain,(
% 1.74/0.56 spl0_10|spl0_3),
% 1.74/0.56 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 1.74/0.56 fof(f131,plain,(
% 1.74/0.56 spl0_10|spl0_4),
% 1.74/0.56 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 1.74/0.56 fof(f132,plain,(
% 1.74/0.56 spl0_10|spl0_5),
% 1.74/0.56 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 1.74/0.56 fof(f133,plain,(
% 1.74/0.56 spl0_11 <=> ~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f134,plain,(
% 1.74/0.56 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_11)),
% 1.74/0.56 inference(component_clause,[status(thm)],[f133])).
% 1.74/0.56 fof(f136,plain,(
% 1.74/0.56 spl0_12 <=> ~multiply(X2,sk_c5)=sk_c7|~inverse(X2)=sk_c5),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f137,plain,(
% 1.74/0.56 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~spl0_12)),
% 1.74/0.56 inference(component_clause,[status(thm)],[f136])).
% 1.74/0.56 fof(f139,plain,(
% 1.74/0.56 spl0_13 <=> ~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f140,plain,(
% 1.74/0.56 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_13)),
% 1.74/0.56 inference(component_clause,[status(thm)],[f139])).
% 1.74/0.56 fof(f142,plain,(
% 1.74/0.56 ~spl0_0|spl0_11|spl0_12|~spl0_1|~spl0_2|~spl0_3|spl0_13),
% 1.74/0.56 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f77,f81,f139])).
% 1.74/0.56 fof(f143,plain,(
% 1.74/0.56 ~inverse(sk_c4)=sk_c7|~spl0_13|~spl0_5),
% 1.74/0.56 inference(resolution,[status(thm)],[f140,f90])).
% 1.74/0.56 fof(f144,plain,(
% 1.74/0.56 ~sk_c7=sk_c7|~spl0_4|~spl0_13|~spl0_5),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f86,f143])).
% 1.74/0.56 fof(f145,plain,(
% 1.74/0.56 $false|~spl0_4|~spl0_13|~spl0_5),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f144])).
% 1.74/0.56 fof(f146,plain,(
% 1.74/0.56 ~spl0_4|~spl0_13|~spl0_5),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f145])).
% 1.74/0.56 fof(f147,plain,(
% 1.74/0.56 ~inverse(sk_c3)=sk_c5|~spl0_12|~spl0_9),
% 1.74/0.56 inference(resolution,[status(thm)],[f137,f118])).
% 1.74/0.56 fof(f148,plain,(
% 1.74/0.56 ~sk_c5=sk_c5|~spl0_10|~spl0_12|~spl0_9),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f126,f147])).
% 1.74/0.56 fof(f149,plain,(
% 1.74/0.56 $false|~spl0_10|~spl0_12|~spl0_9),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f148])).
% 1.74/0.56 fof(f150,plain,(
% 1.74/0.56 ~spl0_10|~spl0_12|~spl0_9),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f149])).
% 1.74/0.56 fof(f151,plain,(
% 1.74/0.56 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~spl0_11)),
% 1.74/0.56 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 1.74/0.56 fof(f160,plain,(
% 1.74/0.56 ~multiply(sk_c7,sk_c2)=sk_c6|~inverse(sk_c1)=sk_c7|~spl0_11|~spl0_7),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f102,f151])).
% 1.74/0.56 fof(f161,plain,(
% 1.74/0.56 ~spl0_6|~spl0_8|~spl0_11|~spl0_7),
% 1.74/0.56 inference(split_clause,[status(thm)],[f160,f93,f109,f133,f101])).
% 1.74/0.56 fof(f165,plain,(
% 1.74/0.56 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c7,X0))|~spl0_0)),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f71,f37])).
% 1.74/0.56 fof(f166,plain,(
% 1.74/0.56 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c5,X0))|~spl0_3)),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f82,f37])).
% 1.74/0.56 fof(f169,plain,(
% 1.74/0.56 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c5,X0))|~spl0_9)),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f118,f37])).
% 1.74/0.56 fof(f170,plain,(
% 1.74/0.56 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c4,multiply(sk_c6,X0))|~spl0_5)),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f90,f37])).
% 1.74/0.56 fof(f171,plain,(
% 1.74/0.56 multiply(sk_c6,sk_c5)=multiply(sk_c5,sk_c6)|~spl0_0|~spl0_3),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f82,f165])).
% 1.74/0.56 fof(f177,plain,(
% 1.74/0.56 multiply(sk_c6,sk_c7)=multiply(sk_c7,sk_c6)|~spl0_3|~spl0_0),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f71,f166])).
% 1.74/0.56 fof(f194,plain,(
% 1.74/0.56 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c6)|~spl0_9|~spl0_0),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f71,f169])).
% 1.74/0.56 fof(f258,plain,(
% 1.74/0.56 multiply(sk_c7,sk_c5)=multiply(sk_c4,multiply(sk_c5,sk_c6))|~spl0_5|~spl0_0|~spl0_3),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f171,f170])).
% 1.74/0.56 fof(f259,plain,(
% 1.74/0.56 sk_c6=multiply(sk_c4,multiply(sk_c5,sk_c6))|~spl0_5|~spl0_0|~spl0_3),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f82,f258])).
% 1.74/0.56 fof(f268,plain,(
% 1.74/0.56 ~multiply(sk_c7,sk_c6)=sk_c5|~spl0_3|~spl0_0|spl0_1),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f177,f75])).
% 1.74/0.56 fof(f830,plain,(
% 1.74/0.56 multiply(sk_c5,sk_c6)=identity|~spl0_2),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f78,f36])).
% 1.74/0.56 fof(f832,plain,(
% 1.74/0.56 multiply(sk_c5,sk_c3)=identity|~spl0_10),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f126,f36])).
% 1.74/0.56 fof(f833,plain,(
% 1.74/0.56 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f36,f37])).
% 1.74/0.56 fof(f834,plain,(
% 1.74/0.56 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f833])).
% 1.74/0.56 fof(f985,plain,(
% 1.74/0.56 sk_c7=multiply(inverse(sk_c1),sk_c2)|~spl0_7),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f102,f834])).
% 1.74/0.56 fof(f986,plain,(
% 1.74/0.56 sk_c7=multiply(sk_c7,sk_c2)|~spl0_8|~spl0_7),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f110,f985])).
% 1.74/0.56 fof(f987,plain,(
% 1.74/0.56 sk_c7=sk_c6|~spl0_6|~spl0_8|~spl0_7),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f94,f986])).
% 1.74/0.56 fof(f988,plain,(
% 1.74/0.56 sk_c6=multiply(inverse(sk_c3),multiply(sk_c7,sk_c7))|~spl0_9|~spl0_0),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f194,f834])).
% 1.74/0.56 fof(f989,plain,(
% 1.74/0.56 sk_c6=multiply(sk_c5,multiply(sk_c7,sk_c7))|~spl0_10|~spl0_9|~spl0_0),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f126,f988])).
% 1.74/0.56 fof(f990,plain,(
% 1.74/0.56 sk_c6=multiply(sk_c6,sk_c7)|~spl0_10|~spl0_9|~spl0_0),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f165,f989])).
% 1.74/0.56 fof(f1000,plain,(
% 1.74/0.56 sk_c5=multiply(inverse(sk_c3),sk_c7)|~spl0_9),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f118,f834])).
% 1.74/0.56 fof(f1001,plain,(
% 1.74/0.56 sk_c5=multiply(sk_c5,sk_c7)|~spl0_10|~spl0_9),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f126,f1000])).
% 1.74/0.56 fof(f1002,plain,(
% 1.74/0.56 sk_c5=sk_c6|~spl0_0|~spl0_10|~spl0_9),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f71,f1001])).
% 1.74/0.56 fof(f1017,plain,(
% 1.74/0.56 sk_c5=sk_c7|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f987,f1002])).
% 1.74/0.56 fof(f1018,plain,(
% 1.74/0.56 sk_c5=sk_c6|~spl0_0|~spl0_10|~spl0_9|~spl0_6|~spl0_8|~spl0_7),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f1017,f987])).
% 1.74/0.56 fof(f1030,plain,(
% 1.74/0.56 sk_c5=multiply(sk_c6,sk_c7)|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1018,f990])).
% 1.74/0.56 fof(f1031,plain,(
% 1.74/0.56 sk_c5=multiply(sk_c5,sk_c7)|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1018,f1030])).
% 1.74/0.56 fof(f1032,plain,(
% 1.74/0.56 sk_c5=multiply(sk_c5,sk_c5)|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1017,f1031])).
% 1.74/0.56 fof(f1033,plain,(
% 1.74/0.56 sk_c5=multiply(inverse(sk_c5),sk_c5)|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f1032,f834])).
% 1.74/0.56 fof(f1034,plain,(
% 1.74/0.56 sk_c5=identity|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f36,f1033])).
% 1.74/0.56 fof(f1039,plain,(
% 1.74/0.56 identity=sk_c6|~spl0_0|~spl0_10|~spl0_9|~spl0_6|~spl0_8|~spl0_7),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f1034,f1018])).
% 1.74/0.56 fof(f1040,plain,(
% 1.74/0.56 identity=sk_c7|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f1034,f1017])).
% 1.74/0.56 fof(f1041,plain,(
% 1.74/0.56 multiply(identity,sk_c3)=identity|~spl0_6|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f1034,f832])).
% 1.74/0.56 fof(f1042,plain,(
% 1.74/0.56 sk_c3=identity|~spl0_6|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f1041])).
% 1.74/0.56 fof(f1043,plain,(
% 1.74/0.56 inverse(sk_c3)=identity|~spl0_6|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f1034,f126])).
% 1.74/0.56 fof(f1044,plain,(
% 1.74/0.56 inverse(identity)=identity|~spl0_6|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1042,f1043])).
% 1.74/0.56 fof(f1049,plain,(
% 1.74/0.56 ~multiply(identity,sk_c5)=sk_c6|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1040,f83])).
% 1.74/0.56 fof(f1050,plain,(
% 1.74/0.56 ~sk_c5=sk_c6|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f1049])).
% 1.74/0.56 fof(f1051,plain,(
% 1.74/0.56 ~identity=sk_c6|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1034,f1050])).
% 1.74/0.56 fof(f1052,plain,(
% 1.74/0.56 ~identity=identity|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1039,f1051])).
% 1.74/0.56 fof(f1053,plain,(
% 1.74/0.56 $false|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f1052])).
% 1.74/0.56 fof(f1054,plain,(
% 1.74/0.56 ~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f1053])).
% 1.74/0.56 fof(f2423,plain,(
% 1.74/0.56 ~multiply(identity,sk_c6)=sk_c5|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_3|~spl0_0|spl0_1),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1040,f268])).
% 1.74/0.56 fof(f2424,plain,(
% 1.74/0.56 ~sk_c6=sk_c5|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_3|~spl0_0|spl0_1),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f2423])).
% 1.74/0.56 fof(f2425,plain,(
% 1.74/0.56 ~identity=sk_c5|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_3|~spl0_0|spl0_1),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1039,f2424])).
% 1.74/0.56 fof(f2426,plain,(
% 1.74/0.56 ~identity=identity|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_3|~spl0_0|spl0_1),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1034,f2425])).
% 1.74/0.56 fof(f2427,plain,(
% 1.74/0.56 $false|~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_3|~spl0_0|spl0_1),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f2426])).
% 1.74/0.56 fof(f2428,plain,(
% 1.74/0.56 ~spl0_6|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_3|~spl0_0|spl0_1),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f2427])).
% 1.74/0.56 fof(f2522,plain,(
% 1.74/0.56 ~inverse(identity)=sk_c5|~spl0_0|~spl0_10|~spl0_9|~spl0_6|~spl0_8|~spl0_7|spl0_2),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1039,f79])).
% 1.74/0.56 fof(f2523,plain,(
% 1.74/0.56 ~identity=sk_c5|~spl0_0|~spl0_10|~spl0_9|~spl0_6|~spl0_8|~spl0_7|spl0_2),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1044,f2522])).
% 1.74/0.56 fof(f2524,plain,(
% 1.74/0.56 ~identity=identity|~spl0_0|~spl0_10|~spl0_9|~spl0_6|~spl0_8|~spl0_7|spl0_2),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1034,f2523])).
% 1.74/0.56 fof(f2525,plain,(
% 1.74/0.56 $false|~spl0_0|~spl0_10|~spl0_9|~spl0_6|~spl0_8|~spl0_7|spl0_2),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f2524])).
% 1.74/0.56 fof(f2526,plain,(
% 1.74/0.56 ~spl0_0|~spl0_10|~spl0_9|~spl0_6|~spl0_8|~spl0_7|spl0_2),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f2525])).
% 1.74/0.56 fof(f2800,plain,(
% 1.74/0.56 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_13)),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1040,f140])).
% 1.74/0.56 fof(f2801,plain,(
% 1.74/0.56 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_13)),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1039,f2800])).
% 1.74/0.56 fof(f2802,plain,(
% 1.74/0.56 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_6|~spl0_8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_13)),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f1040,f2801])).
% 1.74/0.56 fof(f2803,plain,(
% 1.74/0.56 spl0_16 <=> sk_c7=sk_c7),
% 1.74/0.56 introduced(split_symbol_definition)).
% 1.74/0.56 fof(f2805,plain,(
% 1.74/0.56 ~sk_c7=sk_c7|spl0_16),
% 1.74/0.56 inference(component_clause,[status(thm)],[f2803])).
% 1.74/0.56 fof(f2858,plain,(
% 1.74/0.56 ~multiply(identity,identity)=identity|~spl0_13|~spl0_6|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 1.74/0.56 inference(resolution,[status(thm)],[f2802,f1044])).
% 1.74/0.56 fof(f2859,plain,(
% 1.74/0.56 ~identity=identity|~spl0_13|~spl0_6|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f2858])).
% 1.74/0.56 fof(f2860,plain,(
% 1.74/0.56 $false|~spl0_13|~spl0_6|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f2859])).
% 1.74/0.56 fof(f2861,plain,(
% 1.74/0.56 ~spl0_13|~spl0_6|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f2860])).
% 1.74/0.56 fof(f2864,plain,(
% 1.74/0.56 sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_1),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f74,f834])).
% 1.74/0.56 fof(f2865,plain,(
% 1.74/0.56 sk_c7=multiply(sk_c5,sk_c5)|~spl0_2|~spl0_1),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f78,f2864])).
% 1.74/0.56 fof(f2904,plain,(
% 1.74/0.56 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c5,X0))|~spl0_2|~spl0_1)),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f2865,f37])).
% 1.74/0.56 fof(f2913,plain,(
% 1.74/0.56 ~multiply(sk_c7,multiply(sk_c4,sk_c7))=sk_c6|~spl0_4|~spl0_11),
% 1.74/0.56 inference(resolution,[status(thm)],[f86,f151])).
% 1.74/0.56 fof(f2920,plain,(
% 1.74/0.56 multiply(sk_c7,sk_c4)=identity|~spl0_4),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f86,f36])).
% 1.74/0.56 fof(f2926,plain,(
% 1.74/0.56 multiply(sk_c6,sk_c7)=multiply(sk_c7,sk_c6)|~spl0_3|~spl0_0),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f71,f166])).
% 1.74/0.56 fof(f2927,plain,(
% 1.74/0.56 sk_c5=multiply(sk_c7,sk_c6)|~spl0_1|~spl0_3|~spl0_0),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f74,f2926])).
% 1.74/0.56 fof(f2933,plain,(
% 1.74/0.56 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c4,X0))|~spl0_4)),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f2920,f37])).
% 1.74/0.56 fof(f2934,plain,(
% 1.74/0.56 ![X0]: (X0=multiply(sk_c7,multiply(sk_c4,X0))|~spl0_4)),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f2933])).
% 1.74/0.56 fof(f3086,plain,(
% 1.74/0.56 $false|spl0_16),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f2805])).
% 1.74/0.56 fof(f3087,plain,(
% 1.74/0.56 spl0_16),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f3086])).
% 1.74/0.56 fof(f3147,plain,(
% 1.74/0.56 sk_c6=multiply(sk_c4,identity)|~spl0_2|~spl0_5|~spl0_0|~spl0_3),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f830,f259])).
% 1.74/0.56 fof(f3148,plain,(
% 1.74/0.56 identity=multiply(sk_c7,sk_c6)|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f3147,f2934])).
% 1.74/0.56 fof(f3149,plain,(
% 1.74/0.56 identity=sk_c5|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f2927,f3148])).
% 1.74/0.56 fof(f3162,plain,(
% 1.74/0.56 multiply(identity,sk_c7)=sk_c6|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_3|~spl0_0),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f3149,f71])).
% 1.74/0.56 fof(f3163,plain,(
% 1.74/0.56 sk_c7=sk_c6|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_3|~spl0_0),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f3162])).
% 1.74/0.56 fof(f3164,plain,(
% 1.74/0.56 multiply(identity,sk_c6)=identity|~spl0_1|~spl0_4|~spl0_5|~spl0_0|~spl0_3|~spl0_2),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f3149,f830])).
% 1.74/0.56 fof(f3165,plain,(
% 1.74/0.56 sk_c6=identity|~spl0_1|~spl0_4|~spl0_5|~spl0_0|~spl0_3|~spl0_2),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f3164])).
% 1.74/0.56 fof(f3178,plain,(
% 1.74/0.56 sk_c7=identity|~spl0_1|~spl0_4|~spl0_5|~spl0_0|~spl0_3|~spl0_2),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3163,f3165])).
% 1.74/0.56 fof(f3179,plain,(
% 1.74/0.56 identity=sk_c6|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_3|~spl0_0),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f3178,f3163])).
% 1.74/0.56 fof(f3183,plain,(
% 1.74/0.56 multiply(identity,sk_c4)=identity|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4),
% 1.74/0.56 inference(backward_demodulation,[status(thm)],[f3178,f2920])).
% 1.74/0.56 fof(f3184,plain,(
% 1.74/0.56 sk_c4=identity|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f3183])).
% 1.74/0.56 fof(f3204,plain,(
% 1.74/0.56 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c5|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3|~spl0_12)),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3149,f137])).
% 1.74/0.56 fof(f3205,plain,(
% 1.74/0.56 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c5|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3|~spl0_12)),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3178,f3204])).
% 1.74/0.56 fof(f3206,plain,(
% 1.74/0.56 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3|~spl0_12)),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3149,f3205])).
% 1.74/0.56 fof(f3208,plain,(
% 1.74/0.56 inverse(identity)=sk_c7|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3184,f86])).
% 1.74/0.56 fof(f3209,plain,(
% 1.74/0.56 inverse(identity)=identity|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3178,f3208])).
% 1.74/0.56 fof(f3211,plain,(
% 1.74/0.56 ~multiply(identity,identity)=identity|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3|~spl0_12),
% 1.74/0.56 inference(resolution,[status(thm)],[f3209,f3206])).
% 1.74/0.56 fof(f3212,plain,(
% 1.74/0.56 ~identity=identity|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3|~spl0_12),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f3211])).
% 1.74/0.56 fof(f3213,plain,(
% 1.74/0.56 $false|~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3|~spl0_12),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f3212])).
% 1.74/0.56 fof(f3214,plain,(
% 1.74/0.56 ~spl0_1|~spl0_4|~spl0_2|~spl0_5|~spl0_0|~spl0_3|~spl0_12),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f3213])).
% 1.74/0.56 fof(f3218,plain,(
% 1.74/0.56 ~multiply(identity,multiply(sk_c4,sk_c7))=sk_c6|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4|~spl0_11),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3178,f2913])).
% 1.74/0.56 fof(f3219,plain,(
% 1.74/0.56 ~multiply(sk_c4,sk_c7)=sk_c6|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4|~spl0_11),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f3218])).
% 1.74/0.56 fof(f3220,plain,(
% 1.74/0.56 ~multiply(identity,sk_c7)=sk_c6|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4|~spl0_11),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3184,f3219])).
% 1.74/0.56 fof(f3221,plain,(
% 1.74/0.56 ~sk_c7=sk_c6|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4|~spl0_11),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f35,f3220])).
% 1.74/0.56 fof(f3222,plain,(
% 1.74/0.56 ~identity=sk_c6|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4|~spl0_11),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3178,f3221])).
% 1.74/0.56 fof(f3223,plain,(
% 1.74/0.56 ~identity=identity|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4|~spl0_11),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f3179,f3222])).
% 1.74/0.56 fof(f3224,plain,(
% 1.74/0.56 $false|~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4|~spl0_11),
% 1.74/0.56 inference(trivial_equality_resolution,[status(esa)],[f3223])).
% 1.74/0.56 fof(f3225,plain,(
% 1.74/0.56 ~spl0_1|~spl0_5|~spl0_0|~spl0_3|~spl0_2|~spl0_4|~spl0_11),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f3224])).
% 1.74/0.56 fof(f3276,plain,(
% 1.74/0.56 multiply(sk_c7,sk_c5)=multiply(sk_c5,sk_c7)|~spl0_2|~spl0_1),
% 1.74/0.56 inference(paramodulation,[status(thm)],[f2865,f2904])).
% 1.74/0.56 fof(f3277,plain,(
% 1.74/0.56 sk_c6=multiply(sk_c5,sk_c7)|~spl0_3|~spl0_2|~spl0_1),
% 1.74/0.56 inference(forward_demodulation,[status(thm)],[f82,f3276])).
% 1.74/0.56 fof(f3278,plain,(
% 1.74/0.56 $false|spl0_0|~spl0_3|~spl0_2|~spl0_1),
% 1.74/0.56 inference(forward_subsumption_resolution,[status(thm)],[f3277,f72])).
% 1.74/0.56 fof(f3279,plain,(
% 1.74/0.56 spl0_0|~spl0_3|~spl0_2|~spl0_1),
% 1.74/0.56 inference(contradiction_clause,[status(thm)],[f3278])).
% 1.74/0.56 fof(f3280,plain,(
% 1.74/0.56 $false),
% 1.74/0.56 inference(sat_refutation,[status(thm)],[f76,f80,f84,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,f142,f146,f150,f161,f1054,f2428,f2526,f2861,f3087,f3214,f3225,f3279])).
% 1.74/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 1.84/0.59 % Elapsed time: 0.251530 seconds
% 1.84/0.59 % CPU time: 1.882941 seconds
% 1.84/0.59 % Total memory used: 100.065 MB
% 1.84/0.59 % Net memory used: 98.113 MB
%------------------------------------------------------------------------------