%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP356-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP356-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n016.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 20 20:15:07 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f16,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f20,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f23,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f25,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f27,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f28,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f29,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f30,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f31,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f32,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f33,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f34,negated_conjecture,(
% 0.14/0.40 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| multiply(X3,sk_c7) != sk_c8| inverse(X3) != sk_c7| multiply(X4,sk_c8) != sk_c6| inverse(X4) != sk_c8| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f35,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f36,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.40 fof(f44,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f45,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f46,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f47,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f48,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f49,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f50,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f52,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f54,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.40 fof(f55,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f59,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.40 fof(f61,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f62,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.40 fof(f63,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.40 fof(f65,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.40 fof(f67,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 ![X5]: ((![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X3,sk_c7)=sk_c8)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c8)=sk_c6)|~inverse(X4)=sk_c8))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.40 fof(f69,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.40 fof(f70,definition,(
% 0.14/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c8|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.40 fof(f72,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c6)=sk_c8|sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.40 fof(f73,definition,(
% 0.14/0.40 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.40 fof(f75,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.40 fof(f76,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.40 fof(f77,definition,(
% 0.14/0.40 sQ2_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f78,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c7|~sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.40 fof(f80,plain,(
% 0.14/0.40 sQ0_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/0.40 fof(f81,definition,(
% 0.14/0.40 sQ3_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f82,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c8|~sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.40 fof(f84,plain,(
% 0.14/0.40 sQ0_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/0.40 fof(f85,definition,(
% 0.14/0.40 sQ4_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f86,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c5)=sk_c7|~sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.40 fof(f88,plain,(
% 0.14/0.40 sQ0_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.14/0.40 fof(f89,definition,(
% 0.14/0.40 sQ5_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f90,plain,(
% 0.14/0.40 multiply(sk_c4,sk_c8)=sk_c5|~sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.40 fof(f92,plain,(
% 0.14/0.40 sQ0_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.14/0.40 fof(f93,definition,(
% 0.14/0.40 sQ6_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f94,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c8|~sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 sQ0_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.14/0.40 fof(f97,definition,(
% 0.14/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.40 fof(f100,plain,(
% 0.14/0.40 sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.14/0.40 fof(f101,plain,(
% 0.14/0.40 sQ7_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.14/0.40 fof(f102,plain,(
% 0.14/0.40 sQ7_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.14/0.40 fof(f103,plain,(
% 0.14/0.40 sQ7_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.14/0.40 fof(f104,plain,(
% 0.14/0.40 sQ7_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.14/0.40 fof(f105,plain,(
% 0.14/0.40 sQ7_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.14/0.40 fof(f106,definition,(
% 0.14/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f107,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.40 fof(f109,plain,(
% 0.14/0.40 sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 sQ8_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.14/0.40 fof(f111,plain,(
% 0.14/0.40 sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 sQ8_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.14/0.40 fof(f113,plain,(
% 0.14/0.40 sQ8_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 sQ8_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.14/0.40 fof(f115,definition,(
% 0.14/0.40 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c6|~sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.40 fof(f118,plain,(
% 0.14/0.40 sQ9_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.14/0.40 fof(f119,plain,(
% 0.14/0.40 sQ9_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.14/0.40 fof(f120,plain,(
% 0.14/0.40 sQ9_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.14/0.40 fof(f121,plain,(
% 0.14/0.40 sQ9_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.14/0.40 fof(f122,plain,(
% 0.14/0.40 sQ9_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.14/0.40 fof(f123,plain,(
% 0.14/0.40 sQ9_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.14/0.40 fof(f124,definition,(
% 0.14/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.40 fof(f127,plain,(
% 0.14/0.40 sQ10_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.14/0.40 fof(f128,plain,(
% 0.14/0.40 sQ10_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.14/0.40 fof(f129,plain,(
% 0.14/0.40 sQ10_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.14/0.40 fof(f130,plain,(
% 0.14/0.40 sQ10_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.14/0.40 fof(f131,plain,(
% 0.14/0.40 sQ10_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.14/0.40 fof(f132,plain,(
% 0.14/0.40 sQ10_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.14/0.40 fof(f133,definition,(
% 0.14/0.40 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f134,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.40 fof(f136,definition,(
% 0.14/0.40 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f137,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.40 fof(f139,definition,(
% 0.14/0.40 ![X2]: (sQ13_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f140,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.14/0.40 fof(f142,definition,(
% 0.14/0.40 ![X3,X4]: (sQ14_spl <=> (~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f143,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ14_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.14/0.40 fof(f145,plain,(
% 0.14/0.40 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.14/0.40 fof(f146,plain,(
% 0.14/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f143])).
% 0.14/0.40 fof(f151,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ7_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f98,f37])).
% 0.14/0.40 fof(f158,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.14/0.40 fof(f159,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.40 fof(f160,plain,(
% 0.14/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f159])).
% 0.14/0.40 fof(f162,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f78,f146])).
% 0.14/0.40 fof(f163,plain,(
% 0.14/0.40 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ14_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f146])).
% 0.14/0.40 fof(f164,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~sQ14_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f35,f146])).
% 0.14/0.40 fof(f165,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ5_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f90,f146])).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(sk_c8,multiply(X0,multiply(X1,sk_c8)))=sk_c7|~inverse(multiply(X0,X1))=sk_c8|~sQ14_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f37,f146])).
% 0.14/0.40 fof(f168,definition,(
% 0.14/0.40 sQ15_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f170,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|sQ15_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f168])).
% 0.14/0.40 fof(f171,plain,(
% 0.14/0.40 ~sQ15_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f162,f168,f81,f142,f77])).
% 0.14/0.40 fof(f172,definition,(
% 0.14/0.40 sQ16_spl <=> (multiply(sk_c8,identity)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f174,plain,(
% 0.14/0.40 ~multiply(sk_c8,identity)=sk_c7|sQ16_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f172])).
% 0.14/0.40 fof(f175,definition,(
% 0.14/0.40 sQ17_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f178,plain,(
% 0.14/0.40 ~sQ16_spl|~sQ17_spl|~sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f163,f172,f175,f142])).
% 0.14/0.40 fof(f179,definition,(
% 0.14/0.40 sQ18_spl <=> (multiply(sk_c8,sk_c8)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f181,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c8)=sk_c7|sQ18_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f179])).
% 0.14/0.40 fof(f182,definition,(
% 0.14/0.40 sQ19_spl <=> (inverse(identity)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f184,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c8|sQ19_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f182])).
% 0.14/0.40 fof(f185,plain,(
% 0.14/0.40 ~sQ18_spl|~sQ19_spl|~sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f164,f179,f182,f142])).
% 0.14/0.40 fof(f186,plain,(
% 0.14/0.40 ~sQ4_spl|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f165,f85,f93,f142,f89])).
% 0.14/0.40 fof(f191,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~sQ0_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.14/0.40 fof(f192,plain,(
% 0.14/0.40 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ13_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f140])).
% 0.14/0.40 fof(f193,plain,(
% 0.14/0.40 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ13_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f35,f140])).
% 0.14/0.40 fof(f194,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(X0,multiply(X1,sk_c8))=sk_c7|~inverse(multiply(X0,X1))=sk_c8|~sQ13_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f37,f140])).
% 0.14/0.40 fof(f196,definition,(
% 0.14/0.40 sQ21_spl <=> (identity=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f198,plain,(
% 0.14/0.40 ~identity=sk_c7|sQ21_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f196])).
% 0.14/0.40 fof(f199,plain,(
% 0.14/0.40 ~sQ21_spl|~sQ17_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f192,f196,f175,f139])).
% 0.14/0.40 fof(f200,definition,(
% 0.14/0.40 sQ22_spl <=> (sk_c8=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f203,plain,(
% 0.14/0.40 ~sQ22_spl|~sQ19_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f193,f200,f182,f139])).
% 0.14/0.40 fof(f208,plain,(
% 0.14/0.40 ~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f137,f116])).
% 0.14/0.40 fof(f209,plain,(
% 0.14/0.40 ~identity=sk_c6|~inverse(inverse(sk_c8))=sk_c8|~sQ12_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f137])).
% 0.14/0.40 fof(f210,plain,(
% 0.14/0.40 ~sk_c8=sk_c6|~inverse(identity)=sk_c8|~sQ12_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f35,f137])).
% 0.14/0.40 fof(f213,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f125,f208])).
% 0.14/0.40 fof(f214,plain,(
% 0.14/0.40 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f213])).
% 0.14/0.40 fof(f215,plain,(
% 0.14/0.40 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f214])).
% 0.14/0.40 fof(f216,plain,(
% 0.14/0.40 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f134,f98])).
% 0.14/0.40 fof(f221,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f107,f216])).
% 0.14/0.40 fof(f222,plain,(
% 0.14/0.40 $false|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f221])).
% 0.14/0.40 fof(f223,plain,(
% 0.14/0.40 ~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f222])).
% 0.14/0.40 fof(f224,definition,(
% 0.14/0.40 sQ24_spl <=> (identity=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f226,plain,(
% 0.14/0.40 ~identity=sk_c8|sQ24_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f224])).
% 0.14/0.40 fof(f231,definition,(
% 0.14/0.40 sQ26_spl <=> (inverse(identity)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f233,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c7|sQ26_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f231])).
% 0.14/0.40 fof(f235,definition,(
% 0.14/0.40 sQ27_spl <=> (sk_c8=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f237,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|sQ27_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f235])).
% 0.14/0.40 fof(f239,plain,(
% 0.14/0.40 $false|sQ27_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f237])).
% 0.14/0.40 fof(f240,plain,(
% 0.14/0.40 sQ27_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f239])).
% 0.14/0.40 fof(f247,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c8|~sQ13_spl|~sQ2_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f140,f78])).
% 0.14/0.40 fof(f254,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f82,f247])).
% 0.14/0.40 fof(f255,plain,(
% 0.14/0.40 $false|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f254])).
% 0.14/0.40 fof(f256,plain,(
% 0.14/0.40 ~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f255])).
% 0.14/0.40 fof(f266,definition,(
% 0.14/0.40 sQ28_spl <=> (sk_c6=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f268,plain,(
% 0.14/0.40 ~sk_c6=sk_c8|sQ28_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f266])).
% 0.14/0.40 fof(f361,definition,(
% 0.14/0.40 sQ37_spl <=> (multiply(sk_c8,sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f362,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c7)=sk_c8|~sQ37_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f361])).
% 0.14/0.40 fof(f363,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c8|sQ37_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f361])).
% 0.14/0.40 fof(f382,definition,(
% 0.14/0.40 sQ42_spl <=> (identity=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f384,plain,(
% 0.14/0.40 ~identity=sk_c6|sQ42_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f382])).
% 0.14/0.40 fof(f385,plain,(
% 0.14/0.40 ~sQ42_spl|~sQ17_spl|~sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f209,f382,f175,f136])).
% 0.14/0.40 fof(f386,plain,(
% 0.14/0.40 ~sQ28_spl|~sQ19_spl|~sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f210,f266,f182,f136])).
% 0.14/0.40 fof(f387,definition,(
% 0.14/0.40 sQ43_spl <=> (sk_c6=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f389,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|sQ43_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f387])).
% 0.14/0.40 fof(f391,plain,(
% 0.14/0.40 ~sk_c6=sk_c8|~sQ1_spl|sQ37_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f74,f363])).
% 0.14/0.40 fof(f392,plain,(
% 0.14/0.40 $false|sQ43_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f389])).
% 0.14/0.40 fof(f393,plain,(
% 0.14/0.40 sQ43_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f392])).
% 0.14/0.40 fof(f409,definition,(
% 0.14/0.40 sQ45_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f435,plain,(
% 0.14/0.40 ![X0]: (~identity=sk_c7|~inverse(multiply(inverse(multiply(X0,sk_c8)),X0))=sk_c8|~sQ13_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f194])).
% 0.14/0.40 fof(f438,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~multiply(X0,multiply(X1,multiply(X2,sk_c8)))=sk_c7|~inverse(multiply(multiply(X0,X1),X2))=sk_c8|~sQ13_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f37,f194])).
% 0.14/0.40 fof(f444,definition,(
% 0.14/0.40 sQ46_spl <=> (inverse(multiply(sk_c7,sk_c6))=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f448,definition,(
% 0.14/0.40 ![X0]: (sQ47_spl <=> (~inverse(multiply(inverse(multiply(X0,sk_c8)),X0))=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f449,plain,(
% 0.14/0.40 ![X0]: (~inverse(multiply(inverse(multiply(X0,sk_c8)),X0))=sk_c8|~sQ47_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f448])).
% 0.14/0.40 fof(f451,plain,(
% 0.14/0.40 ~sQ21_spl|sQ47_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f435,f196,f448,f139])).
% 0.14/0.40 fof(f453,definition,(
% 0.14/0.40 sQ48_spl <=> (inverse(multiply(sk_c1,sk_c7))=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f457,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~multiply(X0,multiply(X1,multiply(X2,sk_c8)))=sk_c7|~inverse(multiply(X0,multiply(X1,X2)))=sk_c8|~sQ13_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f37,f438])).
% 0.14/0.40 fof(f487,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f160,f160])).
% 0.14/0.40 fof(f488,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f160])).
% 0.14/0.40 fof(f491,plain,(
% 0.14/0.40 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f98,f160])).
% 0.14/0.40 fof(f492,plain,(
% 0.14/0.40 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f37,f160])).
% 0.14/0.40 fof(f497,plain,(
% 0.14/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f107,f491])).
% 0.14/0.40 fof(f501,plain,(
% 0.14/0.40 ~sk_c6=sk_c7|~sQ1_spl|sQ15_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f74,f170])).
% 0.14/0.40 fof(f502,plain,(
% 0.14/0.40 ~multiply(sk_c8,multiply(sk_c8,sk_c8))=sk_c7|~inverse(multiply(sk_c7,sk_c6))=sk_c8|~sQ14_spl|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f191,f166])).
% 0.14/0.40 fof(f504,plain,(
% 0.14/0.40 ![X0]: (~multiply(sk_c8,identity)=sk_c7|~inverse(multiply(inverse(multiply(X0,sk_c8)),X0))=sk_c8|~sQ14_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f166])).
% 0.14/0.40 fof(f506,plain,(
% 0.14/0.40 ~multiply(sk_c8,multiply(sk_c8,sk_c8))=sk_c7|~inverse(multiply(sk_c1,sk_c7))=sk_c8|~sQ14_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f151,f166])).
% 0.14/0.40 fof(f514,definition,(
% 0.14/0.40 sQ50_spl <=> (multiply(sk_c8,multiply(sk_c8,sk_c8))=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f517,plain,(
% 0.14/0.40 ~sQ50_spl|~sQ46_spl|~sQ14_spl|~sQ0_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f502,f514,f444,f142,f70])).
% 0.14/0.40 fof(f518,definition,(
% 0.14/0.40 ![X0]: (sQ51_spl <=> (~inverse(multiply(inverse(X0),X0))=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f519,plain,(
% 0.14/0.40 ![X0]: (~inverse(multiply(inverse(X0),X0))=sk_c8|~sQ51_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f518])).
% 0.14/0.40 fof(f522,plain,(
% 0.14/0.40 ~sQ16_spl|sQ47_spl|~sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f504,f172,f448,f142])).
% 0.14/0.40 fof(f524,plain,(
% 0.14/0.40 ~sQ50_spl|~sQ48_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f506,f514,f453,f142,f97])).
% 0.14/0.40 fof(f579,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c8|~sQ51_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f36,f519])).
% 0.14/0.40 fof(f596,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c4),sk_c5)|~sQ5_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f90,f160])).
% 0.14/0.40 fof(f598,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f94,f596])).
% 0.14/0.40 fof(f599,plain,(
% 0.14/0.40 sk_c8=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f86,f598])).
% 0.14/0.40 fof(f610,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c7)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f599,f74])).
% 0.14/0.40 fof(f611,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f599,f78])).
% 0.14/0.40 fof(f614,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f599,f82])).
% 0.14/0.40 fof(f618,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f599,f134])).
% 0.14/0.40 fof(f623,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f599,f71])).
% 0.14/0.40 fof(f635,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f611,f37])).
% 0.14/0.40 fof(f642,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c3)=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f614,f36])).
% 0.14/0.40 fof(f645,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f618,f611])).
% 0.14/0.40 fof(f655,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~sQ3_spl|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f614,f645])).
% 0.14/0.40 fof(f656,plain,(
% 0.14/0.40 $false|~sQ3_spl|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f655])).
% 0.14/0.40 fof(f657,plain,(
% 0.14/0.40 ~sQ3_spl|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f656])).
% 0.14/0.40 fof(f658,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f599,f137])).
% 0.14/0.40 fof(f659,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f599,f658])).
% 0.14/0.40 fof(f663,plain,(
% 0.14/0.40 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f623,f160])).
% 0.14/0.40 fof(f665,plain,(
% 0.14/0.40 sk_c6=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f36,f663])).
% 0.14/0.40 fof(f669,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~inverse(sk_c7)=sk_c7|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f610,f659])).
% 0.14/0.40 fof(f685,definition,(
% 0.14/0.40 sQ59_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f687,plain,(
% 0.14/0.40 ~inverse(sk_c7)=sk_c7|sQ59_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f685])).
% 0.14/0.40 fof(f688,plain,(
% 0.14/0.40 ~sQ43_spl|~sQ59_spl|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f669,f387,f685,f136,f85,f93,f89,f73])).
% 0.14/0.40 fof(f790,plain,(
% 0.14/0.40 ~sk_c8=sk_c7|sQ16_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f791,f174])).
% 0.14/0.40 fof(f791,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f487,f488])).
% 0.14/0.40 fof(f939,plain,(
% 0.14/0.40 ![X0,X1]: (~identity=sk_c7|~inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1)))=sk_c8|~sQ13_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f457])).
% 0.14/0.40 fof(f962,definition,(
% 0.14/0.40 ![X0,X1]: (sQ62_spl <=> (~inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f963,plain,(
% 0.14/0.40 ![X0,X1]: (~inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))=sk_c8|~sQ62_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f962])).
% 0.14/0.40 fof(f970,definition,(
% 0.14/0.40 ![X0,X1]: (sQ63_spl <=> (~inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1)))=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f973,plain,(
% 0.14/0.40 ~sQ21_spl|sQ63_spl|~sQ13_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f939,f196,f970,f139])).
% 0.14/0.40 fof(f990,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c8|~sQ62_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f36,f963])).
% 0.14/0.40 fof(f994,plain,(
% 0.14/0.40 ~inverse(multiply(inverse(sk_c7),sk_c7))=sk_c8|~sQ47_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f497,f449])).
% 0.14/0.40 fof(f996,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~inverse(sk_c7)=sk_c8|~sQ13_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f497,f140])).
% 0.14/0.40 fof(f997,plain,(
% 0.14/0.40 ![X0]: (sk_c8=multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sk_c7))|~sQ8_spl|~sQ7_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f497,f492])).
% 0.14/0.40 fof(f999,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c7),sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f497,f160])).
% 0.14/0.40 fof(f1002,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c8|~sQ47_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f36,f994])).
% 0.14/0.40 fof(f1003,definition,(
% 0.14/0.40 sQ64_spl <=> (sk_c7=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f1005,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|sQ64_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f1003])).
% 0.14/0.40 fof(f1006,plain,(
% 0.14/0.40 ~sQ64_spl|~sQ45_spl|~sQ13_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f996,f1003,f409,f139,f106,f97])).
% 0.14/0.40 fof(f1007,plain,(
% 0.14/0.40 sk_c8=identity|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f36,f997])).
% 0.14/0.40 fof(f1008,plain,(
% 0.14/0.40 $false|sQ24_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1007,f226])).
% 0.14/0.40 fof(f1009,plain,(
% 0.14/0.40 sQ24_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1008])).
% 0.14/0.40 fof(f1021,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ19_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f599,f184])).
% 0.14/0.40 fof(f1039,definition,(
% 0.14/0.40 sQ65_spl <=> (identity=identity)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f1041,plain,(
% 0.14/0.40 ~identity=identity|sQ65_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f1039])).
% 0.14/0.40 fof(f1047,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c7)=identity|~sQ0_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f665,f610])).
% 0.14/0.40 fof(f1052,plain,(
% 0.14/0.40 sk_c7=multiply(inverse(sk_c7),identity)|~sQ0_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f1047,f160])).
% 0.14/0.40 fof(f1057,plain,(
% 0.14/0.40 sk_c7=inverse(sk_c7)|~sQ0_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f791,f1052])).
% 0.14/0.40 fof(f1058,plain,(
% 0.14/0.40 $false|sQ59_spl|~sQ0_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1057,f687])).
% 0.14/0.40 fof(f1059,plain,(
% 0.14/0.40 sQ59_spl|~sQ0_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1058])).
% 0.14/0.40 fof(f1060,plain,(
% 0.14/0.40 $false|sQ65_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f1041])).
% 0.14/0.40 fof(f1061,plain,(
% 0.14/0.40 sQ65_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1060])).
% 0.14/0.40 fof(f1062,plain,(
% 0.14/0.40 $false|sQ64_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f1005])).
% 0.14/0.40 fof(f1063,plain,(
% 0.14/0.40 sQ64_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1062])).
% 0.14/0.40 fof(f1069,plain,(
% 0.14/0.40 sk_c8=identity|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f36,f999])).
% 0.14/0.40 fof(f1125,plain,(
% 0.14/0.40 ~identity=sk_c7|~sQ8_spl|~sQ7_spl|sQ16_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1069,f790])).
% 0.14/0.40 fof(f1126,plain,(
% 0.14/0.40 ~sk_c6=identity|~sQ8_spl|~sQ7_spl|sQ28_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1069,f268])).
% 0.14/0.40 fof(f1129,plain,(
% 0.14/0.40 multiply(sk_c2,identity)=sk_c6|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1069,f116])).
% 0.14/0.40 fof(f1130,plain,(
% 0.14/0.40 inverse(sk_c2)=identity|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1069,f125])).
% 0.14/0.40 fof(f1132,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1069,f71])).
% 0.14/0.40 fof(f1134,plain,(
% 0.14/0.40 multiply(identity,sk_c7)=sk_c6|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1069,f74])).
% 0.14/0.40 fof(f1141,plain,(
% 0.14/0.40 sk_c2=sk_c6|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f791,f1129])).
% 0.14/0.40 fof(f1143,plain,(
% 0.14/0.40 sk_c7=sk_c6|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f1134])).
% 0.14/0.40 fof(f1144,plain,(
% 0.14/0.40 $false|sQ15_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1143,f501])).
% 0.14/0.40 fof(f1145,plain,(
% 0.14/0.40 sQ15_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1144])).
% 0.14/0.40 fof(f1148,plain,(
% 0.14/0.40 inverse(sk_c6)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1141,f1130])).
% 0.14/0.40 fof(f1151,plain,(
% 0.14/0.40 multiply(identity,sk_c6)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f1148,f36])).
% 0.14/0.40 fof(f1154,plain,(
% 0.14/0.40 sk_c6=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f1151])).
% 0.14/0.40 fof(f1155,plain,(
% 0.14/0.40 $false|sQ28_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1154,f1126])).
% 0.14/0.40 fof(f1156,plain,(
% 0.14/0.40 sQ28_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1155])).
% 0.14/0.40 fof(f1157,plain,(
% 0.14/0.40 ~sQ28_spl|~sQ1_spl|sQ37_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f391,f266,f73,f361])).
% 0.14/0.40 fof(f1265,plain,(
% 0.14/0.40 multiply(identity,sk_c7)=sk_c8|~sQ8_spl|~sQ7_spl|~sQ37_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1069,f362])).
% 0.14/0.40 fof(f1266,plain,(
% 0.14/0.40 sk_c7=sk_c8|~sQ8_spl|~sQ7_spl|~sQ37_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f1265])).
% 0.14/0.40 fof(f1267,plain,(
% 0.14/0.40 sk_c7=identity|~sQ8_spl|~sQ7_spl|~sQ37_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1069,f1266])).
% 0.14/0.40 fof(f1268,plain,(
% 0.14/0.40 $false|sQ21_spl|~sQ8_spl|~sQ7_spl|~sQ37_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1267,f198])).
% 0.14/0.40 fof(f1269,plain,(
% 0.14/0.40 sQ21_spl|~sQ8_spl|~sQ7_spl|~sQ37_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1268])).
% 0.14/0.40 fof(f1321,plain,(
% 0.14/0.40 ~sQ21_spl|~sQ8_spl|~sQ7_spl|sQ16_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f1125,f196,f106,f97,f172])).
% 0.14/0.40 fof(f1322,plain,(
% 0.14/0.40 ~multiply(identity,sk_c7)=sk_c6|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1069,f75])).
% 0.14/0.40 fof(f1323,plain,(
% 0.14/0.40 ~sk_c7=sk_c6|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f1322])).
% 0.14/0.40 fof(f1343,plain,(
% 0.14/0.40 ~multiply(identity,sk_c8)=sk_c7|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1069,f181])).
% 0.14/0.40 fof(f1344,plain,(
% 0.14/0.40 ~sk_c8=sk_c7|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f1343])).
% 0.14/0.40 fof(f1345,plain,(
% 0.14/0.40 ~identity=sk_c7|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1069,f1344])).
% 0.14/0.40 fof(f1378,plain,(
% 0.14/0.40 ~inverse(identity)=identity|~sQ8_spl|~sQ7_spl|sQ19_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1069,f184])).
% 0.14/0.40 fof(f1388,plain,(
% 0.14/0.40 multiply(identity,sk_c2)=identity|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1069,f158])).
% 0.14/0.40 fof(f1389,plain,(
% 0.14/0.40 identity=sk_c6|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1390,f1141])).
% 0.14/0.40 fof(f1390,plain,(
% 0.14/0.40 sk_c2=identity|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f1388])).
% 0.14/0.40 fof(f1392,plain,(
% 0.14/0.40 ~sk_c7=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1389,f1323])).
% 0.14/0.40 fof(f1393,plain,(
% 0.14/0.40 multiply(sk_c7,identity)=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1389,f1132])).
% 0.14/0.40 fof(f1394,plain,(
% 0.14/0.40 inverse(identity)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1389,f1148])).
% 0.14/0.40 fof(f1396,plain,(
% 0.14/0.40 ~sQ21_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f1392,f196,f124,f115,f106,f97,f73])).
% 0.14/0.40 fof(f1397,plain,(
% 0.14/0.40 sk_c7=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f791,f1393])).
% 0.14/0.40 fof(f1398,plain,(
% 0.14/0.40 $false|sQ18_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1397,f1345])).
% 0.14/0.40 fof(f1399,plain,(
% 0.14/0.40 sQ18_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1398])).
% 0.14/0.40 fof(f1400,plain,(
% 0.14/0.40 $false|sQ19_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1394,f1378])).
% 0.14/0.40 fof(f1401,plain,(
% 0.14/0.40 sQ19_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1400])).
% 0.14/0.40 fof(f1402,plain,(
% 0.14/0.40 sQ21_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f1397,f196,f124,f115,f106,f97,f70])).
% 0.14/0.40 fof(f1409,plain,(
% 0.14/0.40 ~sQ19_spl|~sQ47_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f1002,f182,f448,f106,f97])).
% 0.14/0.40 fof(f1410,plain,(
% 0.14/0.40 ~sQ19_spl|~sQ62_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f990,f182,f962])).
% 0.14/0.40 fof(f1411,plain,(
% 0.14/0.40 ~sQ19_spl|~sQ51_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f579,f182,f518])).
% 0.14/0.40 fof(f1458,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c6)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f599,f72])).
% 0.14/0.40 fof(f1459,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f599,f82])).
% 0.14/0.40 fof(f1528,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c3)=multiply(sk_c3,identity)|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f642,f635])).
% 0.14/0.40 fof(f1535,plain,(
% 0.14/0.40 identity=multiply(sk_c3,identity)|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f642,f1528])).
% 0.14/0.40 fof(f1536,plain,(
% 0.14/0.40 identity=sk_c3|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f791,f1535])).
% 0.14/0.40 fof(f1561,plain,(
% 0.14/0.40 multiply(sk_c7,identity)=identity|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1536,f642])).
% 0.14/0.40 fof(f1563,plain,(
% 0.14/0.40 inverse(identity)=sk_c7|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1536,f1459])).
% 0.14/0.40 fof(f1565,plain,(
% 0.14/0.40 sk_c7=identity|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f791,f1561])).
% 0.14/0.40 fof(f1566,plain,(
% 0.14/0.40 $false|sQ26_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1563,f233])).
% 0.14/0.40 fof(f1567,plain,(
% 0.14/0.40 sQ26_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1566])).
% 0.14/0.40 fof(f1568,plain,(
% 0.14/0.40 ~sQ26_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ19_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f1021,f231,f85,f93,f89,f182])).
% 0.14/0.40 fof(f1573,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c6)=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1565,f1458])).
% 0.14/0.40 fof(f1574,plain,(
% 0.14/0.40 multiply(sk_c7,identity)=sk_c6|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f1565,f610])).
% 0.14/0.40 fof(f1583,plain,(
% 0.14/0.40 ~multiply(identity,sk_c6)=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1565,f1573])).
% 0.14/0.40 fof(f1584,plain,(
% 0.14/0.40 ~sk_c6=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f1583])).
% 0.14/0.40 fof(f1585,plain,(
% 0.14/0.40 sk_c7=sk_c6|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f791,f1574])).
% 0.14/0.40 fof(f1586,plain,(
% 0.14/0.40 identity=sk_c6|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f1565,f1585])).
% 0.14/0.40 fof(f1587,plain,(
% 0.14/0.40 $false|sQ42_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1586,f384])).
% 0.14/0.40 fof(f1588,plain,(
% 0.14/0.40 sQ42_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1587])).
% 0.14/0.40 fof(f1593,plain,(
% 0.14/0.40 ~sQ42_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f1584,f382,f77,f81,f85,f93,f89,f70])).
% 0.14/0.40 fof(f1595,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f171,f178,f185,f186,f199,f203,f215,f223,f240,f256,f385,f386,f393,f451,f517,f522,f524,f657,f688,f973,f1006,f1009,f1059,f1061,f1063,f1145,f1156,f1157,f1269,f1321,f1396,f1399,f1401,f1402,f1409,f1410,f1411,f1567,f1568,f1588,f1593])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.064321 seconds
% 0.14/0.42 % CPU time: 0.235159 seconds
% 0.14/0.42 % Total memory used: 105.209 MB
% 0.14/0.42 % Net memory used: 104.951 MB
%------------------------------------------------------------------------------