TSTP Solution File: GRP276-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP276-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:56 EDT 2024
% Result : Unsatisfiable 1.47s 0.56s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP276-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:17:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 1.47/0.56 % Refutation found
% 1.47/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.47/0.56 % SZS output start CNFRefutation for theBenchmark
% 1.47/0.56 fof(f1,axiom,(
% 1.47/0.56 (![X]: (multiply(identity,X) = X ))),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f2,axiom,(
% 1.47/0.56 (![X]: (multiply(inverse(X),X) = identity ))),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f3,axiom,(
% 1.47/0.56 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f4,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f5,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f6,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f7,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c7) = sk_c5 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f8,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f9,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f10,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f11,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f12,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f13,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c1) = sk_c7| inverse(sk_c7) = sk_c5 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f14,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f15,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f16,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f19,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c7) = sk_c5 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f20,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f21,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f22,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f23,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f24,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f25,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c2) = sk_c7| inverse(sk_c7) = sk_c5 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f26,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f27,negated_conjecture,(
% 1.47/0.56 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f28,negated_conjecture,(
% 1.47/0.56 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 1.47/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.56 fof(f29,negated_conjecture,(
% 1.47/0.57 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 1.47/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.57 fof(f30,negated_conjecture,(
% 1.47/0.57 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 1.47/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.57 fof(f31,negated_conjecture,(
% 1.47/0.57 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c7) = sk_c5 ) ),
% 1.47/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.57 fof(f32,negated_conjecture,(
% 1.47/0.57 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 1.47/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.57 fof(f33,negated_conjecture,(
% 1.47/0.57 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 1.47/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.57 fof(f34,negated_conjecture,(
% 1.47/0.57 (![X3,X4,X1,X2]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| inverse(X4) != sk_c7| multiply(X4,sk_c6) != sk_c7| multiply(sk_c6,sk_c5) != sk_c7| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| inverse(sk_c7) != sk_c5| multiply(X2,sk_c5) != sk_c6| inverse(X2) != sk_c5 ) ))),
% 1.47/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.47/0.57 fof(f35,plain,(
% 1.47/0.57 ![X0]: (multiply(identity,X0)=X0)),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f1])).
% 1.47/0.57 fof(f36,plain,(
% 1.47/0.57 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f2])).
% 1.47/0.57 fof(f37,plain,(
% 1.47/0.57 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f3])).
% 1.47/0.57 fof(f38,plain,(
% 1.47/0.57 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c5)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f4])).
% 1.47/0.57 fof(f39,plain,(
% 1.47/0.57 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f5])).
% 1.47/0.57 fof(f40,plain,(
% 1.47/0.57 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f6])).
% 1.47/0.57 fof(f41,plain,(
% 1.47/0.57 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c7)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f7])).
% 1.47/0.57 fof(f42,plain,(
% 1.47/0.57 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f8])).
% 1.47/0.57 fof(f43,plain,(
% 1.47/0.57 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f9])).
% 1.47/0.57 fof(f44,plain,(
% 1.47/0.57 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f10])).
% 1.47/0.57 fof(f45,plain,(
% 1.47/0.57 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f11])).
% 1.47/0.57 fof(f46,plain,(
% 1.47/0.57 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f12])).
% 1.47/0.57 fof(f47,plain,(
% 1.47/0.57 inverse(sk_c1)=sk_c7|inverse(sk_c7)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f13])).
% 1.47/0.57 fof(f48,plain,(
% 1.47/0.57 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f14])).
% 1.47/0.57 fof(f49,plain,(
% 1.47/0.57 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f15])).
% 1.47/0.57 fof(f50,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c5)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f16])).
% 1.47/0.57 fof(f53,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c7)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f19])).
% 1.47/0.57 fof(f54,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f20])).
% 1.47/0.57 fof(f55,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c4)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f21])).
% 1.47/0.57 fof(f56,plain,(
% 1.47/0.57 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f22])).
% 1.47/0.57 fof(f57,plain,(
% 1.47/0.57 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f23])).
% 1.47/0.57 fof(f58,plain,(
% 1.47/0.57 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f24])).
% 1.47/0.57 fof(f59,plain,(
% 1.47/0.57 inverse(sk_c2)=sk_c7|inverse(sk_c7)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f25])).
% 1.47/0.57 fof(f60,plain,(
% 1.47/0.57 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f26])).
% 1.47/0.57 fof(f61,plain,(
% 1.47/0.57 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f27])).
% 1.47/0.57 fof(f62,plain,(
% 1.47/0.57 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f28])).
% 1.47/0.57 fof(f63,plain,(
% 1.47/0.57 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f29])).
% 1.47/0.57 fof(f64,plain,(
% 1.47/0.57 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f30])).
% 1.47/0.57 fof(f65,plain,(
% 1.47/0.57 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c7)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f31])).
% 1.47/0.57 fof(f66,plain,(
% 1.47/0.57 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f32])).
% 1.47/0.57 fof(f67,plain,(
% 1.47/0.57 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c5),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f33])).
% 1.47/0.57 fof(f68,plain,(
% 1.47/0.57 ![X2]: ((((![X1]: ((((![X4]: ((((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~inverse(X4)=sk_c7)|~multiply(X4,sk_c6)=sk_c7))|~multiply(sk_c6,sk_c5)=sk_c7)|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~inverse(sk_c7)=sk_c5)|~multiply(X2,sk_c5)=sk_c6)|~inverse(X2)=sk_c5)),
% 1.47/0.57 inference(miniscoping,[status(esa)],[f34])).
% 1.47/0.57 fof(f69,plain,(
% 1.47/0.57 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7|~inverse(sk_c7)=sk_c5|~multiply(X3,sk_c5)=sk_c6|~inverse(X3)=sk_c5)),
% 1.47/0.57 inference(cnf_transformation,[status(esa)],[f68])).
% 1.47/0.57 fof(f70,plain,(
% 1.47/0.57 spl0_0 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f71,plain,(
% 1.47/0.57 multiply(sk_c1,sk_c7)=sk_c6|~spl0_0),
% 1.47/0.57 inference(component_clause,[status(thm)],[f70])).
% 1.47/0.57 fof(f73,plain,(
% 1.47/0.57 spl0_1 <=> multiply(sk_c6,sk_c5)=sk_c7),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f74,plain,(
% 1.47/0.57 multiply(sk_c6,sk_c5)=sk_c7|~spl0_1),
% 1.47/0.57 inference(component_clause,[status(thm)],[f73])).
% 1.47/0.57 fof(f75,plain,(
% 1.47/0.57 ~multiply(sk_c6,sk_c5)=sk_c7|spl0_1),
% 1.47/0.57 inference(component_clause,[status(thm)],[f73])).
% 1.47/0.57 fof(f76,plain,(
% 1.47/0.57 spl0_0|spl0_1),
% 1.47/0.57 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 1.47/0.57 fof(f77,plain,(
% 1.47/0.57 spl0_2 <=> multiply(sk_c3,sk_c7)=sk_c6),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f78,plain,(
% 1.47/0.57 multiply(sk_c3,sk_c7)=sk_c6|~spl0_2),
% 1.47/0.57 inference(component_clause,[status(thm)],[f77])).
% 1.47/0.57 fof(f80,plain,(
% 1.47/0.57 spl0_0|spl0_2),
% 1.47/0.57 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 1.47/0.57 fof(f81,plain,(
% 1.47/0.57 spl0_3 <=> inverse(sk_c3)=sk_c7),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f82,plain,(
% 1.47/0.57 inverse(sk_c3)=sk_c7|~spl0_3),
% 1.47/0.57 inference(component_clause,[status(thm)],[f81])).
% 1.47/0.57 fof(f84,plain,(
% 1.47/0.57 spl0_0|spl0_3),
% 1.47/0.57 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 1.47/0.57 fof(f85,plain,(
% 1.47/0.57 spl0_4 <=> inverse(sk_c7)=sk_c5),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f86,plain,(
% 1.47/0.57 inverse(sk_c7)=sk_c5|~spl0_4),
% 1.47/0.57 inference(component_clause,[status(thm)],[f85])).
% 1.47/0.57 fof(f87,plain,(
% 1.47/0.57 ~inverse(sk_c7)=sk_c5|spl0_4),
% 1.47/0.57 inference(component_clause,[status(thm)],[f85])).
% 1.47/0.57 fof(f88,plain,(
% 1.47/0.57 spl0_0|spl0_4),
% 1.47/0.57 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 1.47/0.57 fof(f89,plain,(
% 1.47/0.57 spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f90,plain,(
% 1.47/0.57 multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 1.47/0.57 inference(component_clause,[status(thm)],[f89])).
% 1.47/0.57 fof(f92,plain,(
% 1.47/0.57 spl0_0|spl0_5),
% 1.47/0.57 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 1.47/0.57 fof(f93,plain,(
% 1.47/0.57 spl0_6 <=> inverse(sk_c4)=sk_c5),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f94,plain,(
% 1.47/0.57 inverse(sk_c4)=sk_c5|~spl0_6),
% 1.47/0.57 inference(component_clause,[status(thm)],[f93])).
% 1.47/0.57 fof(f96,plain,(
% 1.47/0.57 spl0_0|spl0_6),
% 1.47/0.57 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 1.47/0.57 fof(f97,plain,(
% 1.47/0.57 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f98,plain,(
% 1.47/0.57 inverse(sk_c1)=sk_c7|~spl0_7),
% 1.47/0.57 inference(component_clause,[status(thm)],[f97])).
% 1.47/0.57 fof(f100,plain,(
% 1.47/0.57 spl0_7|spl0_1),
% 1.47/0.57 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 1.47/0.57 fof(f101,plain,(
% 1.47/0.57 spl0_7|spl0_2),
% 1.47/0.57 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 1.47/0.57 fof(f102,plain,(
% 1.47/0.57 spl0_7|spl0_3),
% 1.47/0.57 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 1.47/0.57 fof(f103,plain,(
% 1.47/0.57 spl0_7|spl0_4),
% 1.47/0.57 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 1.47/0.57 fof(f104,plain,(
% 1.47/0.57 spl0_7|spl0_5),
% 1.47/0.57 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 1.47/0.57 fof(f105,plain,(
% 1.47/0.57 spl0_7|spl0_6),
% 1.47/0.57 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 1.47/0.57 fof(f106,plain,(
% 1.47/0.57 spl0_8 <=> multiply(sk_c7,sk_c5)=sk_c6),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f107,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c5)=sk_c6|~spl0_8),
% 1.47/0.57 inference(component_clause,[status(thm)],[f106])).
% 1.47/0.57 fof(f108,plain,(
% 1.47/0.57 ~multiply(sk_c7,sk_c5)=sk_c6|spl0_8),
% 1.47/0.57 inference(component_clause,[status(thm)],[f106])).
% 1.47/0.57 fof(f109,plain,(
% 1.47/0.57 spl0_8|spl0_1),
% 1.47/0.57 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 1.47/0.57 fof(f112,plain,(
% 1.47/0.57 spl0_8|spl0_4),
% 1.47/0.57 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 1.47/0.57 fof(f113,plain,(
% 1.47/0.57 spl0_8|spl0_5),
% 1.47/0.57 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 1.47/0.57 fof(f114,plain,(
% 1.47/0.57 spl0_8|spl0_6),
% 1.47/0.57 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 1.47/0.57 fof(f115,plain,(
% 1.47/0.57 spl0_9 <=> inverse(sk_c2)=sk_c7),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f116,plain,(
% 1.47/0.57 inverse(sk_c2)=sk_c7|~spl0_9),
% 1.47/0.57 inference(component_clause,[status(thm)],[f115])).
% 1.47/0.57 fof(f118,plain,(
% 1.47/0.57 spl0_9|spl0_1),
% 1.47/0.57 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 1.47/0.57 fof(f119,plain,(
% 1.47/0.57 spl0_9|spl0_2),
% 1.47/0.57 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 1.47/0.57 fof(f120,plain,(
% 1.47/0.57 spl0_9|spl0_3),
% 1.47/0.57 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 1.47/0.57 fof(f121,plain,(
% 1.47/0.57 spl0_9|spl0_4),
% 1.47/0.57 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 1.47/0.57 fof(f122,plain,(
% 1.47/0.57 spl0_9|spl0_5),
% 1.47/0.57 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 1.47/0.57 fof(f123,plain,(
% 1.47/0.57 spl0_9|spl0_6),
% 1.47/0.57 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 1.47/0.57 fof(f124,plain,(
% 1.47/0.57 spl0_10 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f125,plain,(
% 1.47/0.57 multiply(sk_c2,sk_c6)=sk_c7|~spl0_10),
% 1.47/0.57 inference(component_clause,[status(thm)],[f124])).
% 1.47/0.57 fof(f127,plain,(
% 1.47/0.57 spl0_10|spl0_1),
% 1.47/0.57 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 1.47/0.57 fof(f128,plain,(
% 1.47/0.57 spl0_10|spl0_2),
% 1.47/0.57 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 1.47/0.57 fof(f129,plain,(
% 1.47/0.57 spl0_10|spl0_3),
% 1.47/0.57 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 1.47/0.57 fof(f130,plain,(
% 1.47/0.57 spl0_10|spl0_4),
% 1.47/0.57 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 1.47/0.57 fof(f131,plain,(
% 1.47/0.57 spl0_10|spl0_5),
% 1.47/0.57 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 1.47/0.57 fof(f132,plain,(
% 1.47/0.57 spl0_10|spl0_6),
% 1.47/0.57 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 1.47/0.57 fof(f133,plain,(
% 1.47/0.57 spl0_11 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f134,plain,(
% 1.47/0.57 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_11)),
% 1.47/0.57 inference(component_clause,[status(thm)],[f133])).
% 1.47/0.57 fof(f136,plain,(
% 1.47/0.57 spl0_12 <=> ~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f137,plain,(
% 1.47/0.57 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 1.47/0.57 inference(component_clause,[status(thm)],[f136])).
% 1.47/0.57 fof(f139,plain,(
% 1.47/0.57 spl0_13 <=> ~multiply(X3,sk_c5)=sk_c6|~inverse(X3)=sk_c5),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f140,plain,(
% 1.47/0.57 ![X0]: (~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=sk_c5|~spl0_13)),
% 1.47/0.57 inference(component_clause,[status(thm)],[f139])).
% 1.47/0.57 fof(f142,plain,(
% 1.47/0.57 spl0_11|~spl0_8|spl0_12|~spl0_1|~spl0_4|spl0_13),
% 1.47/0.57 inference(split_clause,[status(thm)],[f69,f133,f106,f136,f73,f85,f139])).
% 1.47/0.57 fof(f143,plain,(
% 1.47/0.57 ~inverse(sk_c7)=sk_c5|~spl0_13|~spl0_8),
% 1.47/0.57 inference(resolution,[status(thm)],[f140,f107])).
% 1.47/0.57 fof(f144,plain,(
% 1.47/0.57 ~inverse(sk_c4)=sk_c5|~spl0_13|~spl0_5),
% 1.47/0.57 inference(resolution,[status(thm)],[f140,f90])).
% 1.47/0.57 fof(f145,plain,(
% 1.47/0.57 ~sk_c5=sk_c5|~spl0_6|~spl0_13|~spl0_5),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f94,f144])).
% 1.47/0.57 fof(f146,plain,(
% 1.47/0.57 $false|~spl0_6|~spl0_13|~spl0_5),
% 1.47/0.57 inference(trivial_equality_resolution,[status(esa)],[f145])).
% 1.47/0.57 fof(f147,plain,(
% 1.47/0.57 ~spl0_6|~spl0_13|~spl0_5),
% 1.47/0.57 inference(contradiction_clause,[status(thm)],[f146])).
% 1.47/0.57 fof(f148,plain,(
% 1.47/0.57 ~inverse(sk_c2)=sk_c7|~spl0_12|~spl0_10),
% 1.47/0.57 inference(resolution,[status(thm)],[f137,f125])).
% 1.47/0.57 fof(f149,plain,(
% 1.47/0.57 ~sk_c7=sk_c7|~spl0_9|~spl0_12|~spl0_10),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f116,f148])).
% 1.47/0.57 fof(f150,plain,(
% 1.47/0.57 $false|~spl0_9|~spl0_12|~spl0_10),
% 1.47/0.57 inference(trivial_equality_resolution,[status(esa)],[f149])).
% 1.47/0.57 fof(f151,plain,(
% 1.47/0.57 ~spl0_9|~spl0_12|~spl0_10),
% 1.47/0.57 inference(contradiction_clause,[status(thm)],[f150])).
% 1.47/0.57 fof(f152,plain,(
% 1.47/0.57 ~inverse(sk_c3)=sk_c7|~spl0_11|~spl0_2),
% 1.47/0.57 inference(resolution,[status(thm)],[f134,f78])).
% 1.47/0.57 fof(f153,plain,(
% 1.47/0.57 ~sk_c7=sk_c7|~spl0_3|~spl0_11|~spl0_2),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f82,f152])).
% 1.47/0.57 fof(f154,plain,(
% 1.47/0.57 $false|~spl0_3|~spl0_11|~spl0_2),
% 1.47/0.57 inference(trivial_equality_resolution,[status(esa)],[f153])).
% 1.47/0.57 fof(f155,plain,(
% 1.47/0.57 ~spl0_3|~spl0_11|~spl0_2),
% 1.47/0.57 inference(contradiction_clause,[status(thm)],[f154])).
% 1.47/0.57 fof(f159,plain,(
% 1.47/0.57 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c5,X0))|~spl0_1)),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f74,f37])).
% 1.47/0.57 fof(f161,plain,(
% 1.47/0.57 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~spl0_5)),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f90,f37])).
% 1.47/0.57 fof(f162,plain,(
% 1.47/0.57 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~spl0_10)),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f125,f37])).
% 1.47/0.57 fof(f184,plain,(
% 1.47/0.57 multiply(sk_c5,sk_c4)=identity|~spl0_6),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f94,f36])).
% 1.47/0.57 fof(f185,plain,(
% 1.47/0.57 multiply(sk_c5,sk_c7)=identity|~spl0_4),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f86,f36])).
% 1.47/0.57 fof(f187,plain,(
% 1.47/0.57 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f36,f37])).
% 1.47/0.57 fof(f188,plain,(
% 1.47/0.57 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f187])).
% 1.47/0.57 fof(f189,plain,(
% 1.47/0.57 multiply(sk_c6,sk_c4)=multiply(sk_c4,identity)|~spl0_5|~spl0_6),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f184,f161])).
% 1.47/0.57 fof(f190,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c4)=multiply(sk_c6,identity)|~spl0_1|~spl0_6),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f184,f159])).
% 1.47/0.57 fof(f191,plain,(
% 1.47/0.57 ![X0]: (multiply(identity,X0)=multiply(sk_c5,multiply(sk_c4,X0))|~spl0_6)),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f184,f37])).
% 1.47/0.57 fof(f192,plain,(
% 1.47/0.57 ![X0]: (X0=multiply(sk_c5,multiply(sk_c4,X0))|~spl0_6)),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f191])).
% 1.47/0.57 fof(f193,plain,(
% 1.47/0.57 multiply(sk_c6,sk_c7)=multiply(sk_c4,identity)|~spl0_5|~spl0_4),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f185,f161])).
% 1.47/0.57 fof(f195,plain,(
% 1.47/0.57 ![X0]: (multiply(identity,X0)=multiply(sk_c5,multiply(sk_c7,X0))|~spl0_4)),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f185,f37])).
% 1.47/0.57 fof(f196,plain,(
% 1.47/0.57 ![X0]: (X0=multiply(sk_c5,multiply(sk_c7,X0))|~spl0_4)),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f195])).
% 1.47/0.57 fof(f202,plain,(
% 1.47/0.57 sk_c5=multiply(sk_c5,sk_c6)|~spl0_6|~spl0_5),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f90,f192])).
% 1.47/0.57 fof(f209,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c6)=multiply(sk_c6,sk_c5)|~spl0_1|~spl0_6|~spl0_5),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f202,f159])).
% 1.47/0.57 fof(f210,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c6)=sk_c7|~spl0_1|~spl0_6|~spl0_5),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f74,f209])).
% 1.47/0.57 fof(f224,plain,(
% 1.47/0.57 multiply(sk_c6,sk_c7)=multiply(sk_c6,sk_c4)|~spl0_6|~spl0_5|~spl0_4),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f189,f193])).
% 1.47/0.57 fof(f235,plain,(
% 1.47/0.57 sk_c6=multiply(sk_c5,sk_c7)|~spl0_4|~spl0_1|~spl0_6|~spl0_5),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f210,f196])).
% 1.47/0.57 fof(f236,plain,(
% 1.47/0.57 sk_c6=identity|~spl0_4|~spl0_1|~spl0_6|~spl0_5),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f185,f235])).
% 1.47/0.57 fof(f243,plain,(
% 1.47/0.57 multiply(sk_c6,sk_c7)=multiply(identity,sk_c4)|~spl0_1|~spl0_6|~spl0_5|~spl0_4),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f236,f224])).
% 1.47/0.57 fof(f244,plain,(
% 1.47/0.57 multiply(identity,sk_c7)=multiply(identity,sk_c4)|~spl0_1|~spl0_6|~spl0_5|~spl0_4),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f236,f243])).
% 1.47/0.57 fof(f245,plain,(
% 1.47/0.57 sk_c7=multiply(identity,sk_c4)|~spl0_1|~spl0_6|~spl0_5|~spl0_4),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f244])).
% 1.47/0.57 fof(f246,plain,(
% 1.47/0.57 sk_c7=sk_c4|~spl0_1|~spl0_6|~spl0_5|~spl0_4),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f245])).
% 1.47/0.57 fof(f247,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c4)=multiply(identity,identity)|~spl0_4|~spl0_5|~spl0_1|~spl0_6),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f236,f190])).
% 1.47/0.57 fof(f248,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c4)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_6),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f247])).
% 1.47/0.57 fof(f261,plain,(
% 1.47/0.57 ~multiply(sk_c7,sk_c5)=identity|~spl0_4|~spl0_1|~spl0_6|~spl0_5|spl0_8),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f236,f108])).
% 1.47/0.57 fof(f262,plain,(
% 1.47/0.57 multiply(identity,sk_c5)=sk_c7|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f236,f74])).
% 1.47/0.57 fof(f263,plain,(
% 1.47/0.57 sk_c5=sk_c7|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f262])).
% 1.47/0.57 fof(f274,plain,(
% 1.47/0.57 inverse(sk_c7)=sk_c7|~spl0_6|~spl0_5|~spl0_1|~spl0_4),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f263,f86])).
% 1.47/0.57 fof(f275,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c7)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_6),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f246,f248])).
% 1.47/0.57 fof(f278,plain,(
% 1.47/0.57 ~multiply(sk_c7,sk_c7)=identity|~spl0_4|~spl0_1|~spl0_6|~spl0_5|spl0_8),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f263,f261])).
% 1.47/0.57 fof(f279,plain,(
% 1.47/0.57 ~identity=identity|~spl0_4|~spl0_1|~spl0_6|~spl0_5|spl0_8),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f275,f278])).
% 1.47/0.57 fof(f280,plain,(
% 1.47/0.57 $false|~spl0_4|~spl0_1|~spl0_6|~spl0_5|spl0_8),
% 1.47/0.57 inference(trivial_equality_resolution,[status(esa)],[f279])).
% 1.47/0.57 fof(f281,plain,(
% 1.47/0.57 ~spl0_4|~spl0_1|~spl0_6|~spl0_5|spl0_8),
% 1.47/0.57 inference(contradiction_clause,[status(thm)],[f280])).
% 1.47/0.57 fof(f284,plain,(
% 1.47/0.57 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,identity)=sk_c7|~spl0_4|~spl0_1|~spl0_6|~spl0_5|~spl0_12)),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f236,f137])).
% 1.47/0.57 fof(f325,plain,(
% 1.47/0.57 spl0_15 <=> sk_c6=sk_c6),
% 1.47/0.57 introduced(split_symbol_definition)).
% 1.47/0.57 fof(f327,plain,(
% 1.47/0.57 ~sk_c6=sk_c6|spl0_15),
% 1.47/0.57 inference(component_clause,[status(thm)],[f325])).
% 1.47/0.57 fof(f328,plain,(
% 1.47/0.57 ~sk_c6=sk_c6|~inverse(sk_c1)=sk_c7|~spl0_11|~spl0_0),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f71,f134])).
% 1.47/0.57 fof(f329,plain,(
% 1.47/0.57 ~spl0_15|~spl0_7|~spl0_11|~spl0_0),
% 1.47/0.57 inference(split_clause,[status(thm)],[f328,f325,f97,f133,f70])).
% 1.47/0.57 fof(f332,plain,(
% 1.47/0.57 $false|spl0_15),
% 1.47/0.57 inference(trivial_equality_resolution,[status(esa)],[f327])).
% 1.47/0.57 fof(f333,plain,(
% 1.47/0.57 spl0_15),
% 1.47/0.57 inference(contradiction_clause,[status(thm)],[f332])).
% 1.47/0.57 fof(f361,plain,(
% 1.47/0.57 sk_c5=multiply(sk_c5,sk_c6)|~spl0_4|~spl0_8),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f107,f196])).
% 1.47/0.57 fof(f365,plain,(
% 1.47/0.57 sk_c6=multiply(inverse(sk_c5),sk_c5)|~spl0_4|~spl0_8),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f361,f188])).
% 1.47/0.57 fof(f366,plain,(
% 1.47/0.57 sk_c6=identity|~spl0_4|~spl0_8),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f36,f365])).
% 1.47/0.57 fof(f369,plain,(
% 1.47/0.57 ~multiply(identity,sk_c5)=sk_c7|~spl0_4|~spl0_8|spl0_1),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f366,f75])).
% 1.47/0.57 fof(f370,plain,(
% 1.47/0.57 ~sk_c5=sk_c7|~spl0_4|~spl0_8|spl0_1),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f369])).
% 1.47/0.57 fof(f371,plain,(
% 1.47/0.57 multiply(sk_c2,identity)=sk_c7|~spl0_4|~spl0_8|~spl0_10),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f366,f125])).
% 1.47/0.57 fof(f374,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c5)=identity|~spl0_4|~spl0_8),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f366,f107])).
% 1.47/0.57 fof(f443,plain,(
% 1.47/0.57 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(identity,X0))|~spl0_4|~spl0_8|~spl0_10)),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f366,f162])).
% 1.47/0.57 fof(f444,plain,(
% 1.47/0.57 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,X0)|~spl0_4|~spl0_8|~spl0_10)),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f443])).
% 1.47/0.57 fof(f473,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c1)=identity|~spl0_7),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f98,f36])).
% 1.47/0.57 fof(f474,plain,(
% 1.47/0.57 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_9)),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f116,f188])).
% 1.47/0.57 fof(f475,plain,(
% 1.47/0.57 ![X0]: (X0=multiply(sk_c7,multiply(sk_c7,X0))|~spl0_4|~spl0_8|~spl0_10|~spl0_9)),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f444,f474])).
% 1.47/0.57 fof(f476,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c2)=identity|~spl0_9),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f116,f36])).
% 1.47/0.57 fof(f484,plain,(
% 1.47/0.57 multiply(sk_c7,identity)=sk_c7|~spl0_4|~spl0_8|~spl0_10),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f444,f371])).
% 1.47/0.57 fof(f507,plain,(
% 1.47/0.57 sk_c5=multiply(sk_c7,identity)|~spl0_10|~spl0_9|~spl0_4|~spl0_8),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f374,f475])).
% 1.47/0.57 fof(f508,plain,(
% 1.47/0.57 sk_c5=sk_c7|~spl0_10|~spl0_9|~spl0_4|~spl0_8),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f484,f507])).
% 1.47/0.57 fof(f509,plain,(
% 1.47/0.57 $false|spl0_1|~spl0_10|~spl0_9|~spl0_4|~spl0_8),
% 1.47/0.57 inference(forward_subsumption_resolution,[status(thm)],[f508,f370])).
% 1.47/0.57 fof(f510,plain,(
% 1.47/0.57 spl0_1|~spl0_10|~spl0_9|~spl0_4|~spl0_8),
% 1.47/0.57 inference(contradiction_clause,[status(thm)],[f509])).
% 1.47/0.57 fof(f513,plain,(
% 1.47/0.57 sk_c6=multiply(inverse(sk_c2),sk_c7)|~spl0_10),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f125,f188])).
% 1.47/0.57 fof(f514,plain,(
% 1.47/0.57 sk_c6=multiply(sk_c7,sk_c7)|~spl0_9|~spl0_10),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f116,f513])).
% 1.47/0.57 fof(f518,plain,(
% 1.47/0.57 sk_c7=multiply(inverse(sk_c3),sk_c6)|~spl0_2),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f78,f188])).
% 1.47/0.57 fof(f519,plain,(
% 1.47/0.57 sk_c7=multiply(sk_c7,sk_c6)|~spl0_3|~spl0_2),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f82,f518])).
% 1.47/0.57 fof(f523,plain,(
% 1.47/0.57 sk_c7=multiply(inverse(sk_c1),sk_c6)|~spl0_0),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f71,f188])).
% 1.47/0.57 fof(f524,plain,(
% 1.47/0.57 sk_c7=multiply(sk_c7,sk_c6)|~spl0_7|~spl0_0),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f98,f523])).
% 1.47/0.57 fof(f528,plain,(
% 1.47/0.57 sk_c6=multiply(inverse(sk_c7),sk_c7)|~spl0_3|~spl0_2),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f519,f188])).
% 1.47/0.57 fof(f529,plain,(
% 1.47/0.57 sk_c6=identity|~spl0_3|~spl0_2),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f36,f528])).
% 1.47/0.57 fof(f693,plain,(
% 1.47/0.57 sk_c7=multiply(inverse(sk_c1),sk_c6)|~spl0_0),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f71,f188])).
% 1.47/0.57 fof(f694,plain,(
% 1.47/0.57 sk_c7=multiply(sk_c7,sk_c6)|~spl0_7|~spl0_0),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f98,f693])).
% 1.47/0.57 fof(f708,plain,(
% 1.47/0.57 sk_c6=multiply(inverse(sk_c7),sk_c7)|~spl0_7|~spl0_0),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f524,f188])).
% 1.47/0.57 fof(f709,plain,(
% 1.47/0.57 sk_c6=identity|~spl0_7|~spl0_0),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f36,f708])).
% 1.47/0.57 fof(f711,plain,(
% 1.47/0.57 sk_c7=multiply(sk_c7,identity)|~spl0_7|~spl0_0),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f709,f524])).
% 1.47/0.57 fof(f714,plain,(
% 1.47/0.57 multiply(sk_c7,sk_c5)=identity|~spl0_7|~spl0_0|~spl0_8),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f709,f107])).
% 1.47/0.57 fof(f716,plain,(
% 1.47/0.57 identity=multiply(sk_c7,sk_c7)|~spl0_7|~spl0_0|~spl0_9|~spl0_10),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f709,f514])).
% 1.47/0.57 fof(f718,plain,(
% 1.47/0.57 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c7,X0))|~spl0_7|~spl0_0|~spl0_9|~spl0_10)),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f716,f37])).
% 1.47/0.57 fof(f719,plain,(
% 1.47/0.57 ![X0]: (X0=multiply(sk_c7,multiply(sk_c7,X0))|~spl0_7|~spl0_0|~spl0_9|~spl0_10)),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f718])).
% 1.47/0.57 fof(f725,plain,(
% 1.47/0.57 multiply(identity,sk_c5)=sk_c7|~spl0_7|~spl0_0|~spl0_1),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f709,f74])).
% 1.47/0.57 fof(f726,plain,(
% 1.47/0.57 sk_c5=sk_c7|~spl0_7|~spl0_0|~spl0_1),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f35,f725])).
% 1.47/0.57 fof(f728,plain,(
% 1.47/0.57 ~inverse(sk_c7)=sk_c7|~spl0_7|~spl0_0|~spl0_1|spl0_4),
% 1.47/0.57 inference(backward_demodulation,[status(thm)],[f726,f87])).
% 1.47/0.57 fof(f729,plain,(
% 1.47/0.57 sk_c7=multiply(sk_c7,identity)|~spl0_7|~spl0_0),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f709,f694])).
% 1.47/0.57 fof(f756,plain,(
% 1.47/0.57 sk_c2=multiply(sk_c7,identity)|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f476,f719])).
% 1.47/0.57 fof(f757,plain,(
% 1.47/0.57 sk_c2=sk_c7|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f729,f756])).
% 1.47/0.57 fof(f758,plain,(
% 1.47/0.57 sk_c1=multiply(sk_c7,identity)|~spl0_0|~spl0_9|~spl0_10|~spl0_7),
% 1.47/0.57 inference(paramodulation,[status(thm)],[f473,f719])).
% 1.47/0.57 fof(f759,plain,(
% 1.47/0.57 sk_c1=sk_c7|~spl0_0|~spl0_9|~spl0_10|~spl0_7),
% 1.47/0.57 inference(forward_demodulation,[status(thm)],[f729,f758])).
% 1.47/0.58 fof(f766,plain,(
% 1.47/0.58 inverse(sk_c7)=sk_c7|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.47/0.58 inference(backward_demodulation,[status(thm)],[f757,f116])).
% 1.47/0.58 fof(f782,plain,(
% 1.47/0.58 inverse(sk_c1)=sk_c1|~spl0_0|~spl0_9|~spl0_10|~spl0_7),
% 1.47/0.58 inference(backward_demodulation,[status(thm)],[f759,f98])).
% 1.47/0.58 fof(f793,plain,(
% 1.47/0.58 ~inverse(sk_c1)=sk_c7|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_1|spl0_4),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f759,f728])).
% 1.47/0.58 fof(f794,plain,(
% 1.47/0.58 ~inverse(sk_c1)=sk_c1|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_1|spl0_4),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f759,f793])).
% 1.47/0.58 fof(f795,plain,(
% 1.47/0.58 inverse(sk_c1)=sk_c7|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f759,f766])).
% 1.47/0.58 fof(f796,plain,(
% 1.47/0.58 inverse(sk_c1)=sk_c1|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f759,f795])).
% 1.47/0.58 fof(f797,plain,(
% 1.47/0.58 $false|~spl0_1|spl0_4|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.47/0.58 inference(forward_subsumption_resolution,[status(thm)],[f796,f794])).
% 1.47/0.58 fof(f798,plain,(
% 1.47/0.58 ~spl0_1|spl0_4|~spl0_7|~spl0_0|~spl0_10|~spl0_9),
% 1.47/0.58 inference(contradiction_clause,[status(thm)],[f797])).
% 1.47/0.58 fof(f863,plain,(
% 1.47/0.58 ~spl0_4|~spl0_13|~spl0_8),
% 1.47/0.58 inference(split_clause,[status(thm)],[f143,f85,f139,f106])).
% 1.47/0.58 fof(f864,plain,(
% 1.47/0.58 multiply(sk_c1,sk_c5)=identity|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f759,f714])).
% 1.47/0.58 fof(f865,plain,(
% 1.47/0.58 ~inverse(sk_c1)=sk_c5|~spl0_0|~spl0_9|~spl0_10|~spl0_7|spl0_4),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f759,f87])).
% 1.47/0.58 fof(f871,plain,(
% 1.47/0.58 sk_c5=multiply(inverse(sk_c1),identity)|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 1.47/0.58 inference(paramodulation,[status(thm)],[f864,f188])).
% 1.47/0.58 fof(f872,plain,(
% 1.47/0.58 sk_c5=multiply(sk_c1,identity)|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f782,f871])).
% 1.47/0.58 fof(f921,plain,(
% 1.47/0.58 ~sk_c1=sk_c5|~spl0_0|~spl0_9|~spl0_10|~spl0_7|spl0_4),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f782,f865])).
% 1.47/0.58 fof(f929,plain,(
% 1.47/0.58 sk_c1=multiply(sk_c7,identity)|~spl0_9|~spl0_10|~spl0_7|~spl0_0),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f759,f711])).
% 1.47/0.58 fof(f930,plain,(
% 1.47/0.58 sk_c1=multiply(sk_c1,identity)|~spl0_9|~spl0_10|~spl0_7|~spl0_0),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f759,f929])).
% 1.47/0.58 fof(f934,plain,(
% 1.47/0.58 sk_c5=sk_c1|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f930,f872])).
% 1.47/0.58 fof(f935,plain,(
% 1.47/0.58 $false|spl0_4|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 1.47/0.58 inference(forward_subsumption_resolution,[status(thm)],[f934,f921])).
% 1.47/0.58 fof(f936,plain,(
% 1.47/0.58 spl0_4|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 1.47/0.58 inference(contradiction_clause,[status(thm)],[f935])).
% 1.47/0.58 fof(f960,plain,(
% 1.47/0.58 multiply(sk_c7,identity)=sk_c7|~spl0_3|~spl0_2|~spl0_1|~spl0_6|~spl0_5),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f529,f210])).
% 1.47/0.58 fof(f994,plain,(
% 1.47/0.58 ~multiply(sk_c7,identity)=sk_c7|~spl0_4|~spl0_1|~spl0_6|~spl0_5|~spl0_12),
% 1.47/0.58 inference(resolution,[status(thm)],[f274,f284])).
% 1.47/0.58 fof(f995,plain,(
% 1.47/0.58 ~sk_c7=sk_c7|~spl0_3|~spl0_2|~spl0_4|~spl0_1|~spl0_6|~spl0_5|~spl0_12),
% 1.47/0.58 inference(forward_demodulation,[status(thm)],[f960,f994])).
% 1.47/0.58 fof(f996,plain,(
% 1.47/0.58 $false|~spl0_3|~spl0_2|~spl0_4|~spl0_1|~spl0_6|~spl0_5|~spl0_12),
% 1.47/0.58 inference(trivial_equality_resolution,[status(esa)],[f995])).
% 1.47/0.58 fof(f997,plain,(
% 1.47/0.58 ~spl0_3|~spl0_2|~spl0_4|~spl0_1|~spl0_6|~spl0_5|~spl0_12),
% 1.47/0.58 inference(contradiction_clause,[status(thm)],[f996])).
% 1.47/0.58 fof(f998,plain,(
% 1.47/0.58 $false),
% 1.47/0.58 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f142,f147,f151,f155,f281,f329,f333,f510,f798,f863,f936,f997])).
% 1.47/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.47/0.59 % Elapsed time: 0.228529 seconds
% 1.47/0.59 % CPU time: 1.643246 seconds
% 1.47/0.59 % Total memory used: 85.640 MB
% 1.47/0.59 % Net memory used: 84.429 MB
%------------------------------------------------------------------------------