%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP227-1 : 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 : n007.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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP227-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:04:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.42 fof(f1,axiom,(
% 0.14/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f2,axiom,(
% 0.14/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f3,axiom,(
% 0.14/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f4,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f5,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f6,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f7,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f8,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f9,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f10,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f11,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f12,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f13,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f14,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f15,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f16,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f17,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f18,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f19,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f20,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f21,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f22,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f23,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f24,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f25,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f26,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f27,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f28,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f29,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f30,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f31,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f32,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f33,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f34,negated_conjecture,(
% 0.14/0.42 (![X4,X5,X6,X1,X3,X2]: (( inverse(X4) != sk_c8| multiply(X4,sk_c7) != sk_c8| multiply(sk_c8,X5) != sk_c7| multiply(X6,sk_c8) != X5| inverse(X6) != sk_c8| inverse(sk_c8) != sk_c7| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X3,X2) != sk_c7| inverse(X3) != X2| multiply(X2,sk_c8) != sk_c7 ) ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f35,plain,(
% 0.14/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.42 fof(f36,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.42 fof(f37,plain,(
% 0.14/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.42 fof(f38,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.42 fof(f39,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.42 fof(f40,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.42 fof(f41,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.42 fof(f42,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.42 fof(f43,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.42 fof(f44,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.42 fof(f45,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.42 fof(f46,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.42 fof(f47,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.42 fof(f48,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.42 fof(f49,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.42 fof(f50,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.42 fof(f51,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.42 fof(f52,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.42 fof(f53,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.42 fof(f54,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.42 fof(f55,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.42 fof(f56,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.42 fof(f57,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.42 fof(f58,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.42 fof(f59,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.42 fof(f60,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c6),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.42 fof(f61,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.42 fof(f62,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.42 fof(f63,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.42 fof(f64,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.42 fof(f65,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.42 fof(f66,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.42 fof(f67,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.42 fof(f68,plain,(
% 0.14/0.42 ![X2]: ((![X3]: (((![X1]: ((((![X6]: ((![X5]: (((![X4]: (~inverse(X4)=sk_c8|~multiply(X4,sk_c7)=sk_c8))|~multiply(sk_c8,X5)=sk_c7)|~multiply(X6,sk_c8)=X5))|~inverse(X6)=sk_c8))|~inverse(sk_c8)=sk_c7)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X3,X2)=sk_c7)|~inverse(X3)=X2))|~multiply(X2,sk_c8)=sk_c7)),
% 0.14/0.42 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.42 fof(f69,plain,(
% 0.14/0.42 ![X0,X1,X2,X3,X4,X5]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~inverse(sk_c8)=sk_c7|~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X4,X5)=sk_c7|~inverse(X4)=X5|~multiply(X5,sk_c8)=sk_c7)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.42 fof(f70,definition,(
% 0.14/0.42 sQ0_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f71,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c8|~sQ0_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.42 fof(f73,definition,(
% 0.14/0.42 sQ1_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f74,plain,(
% 0.14/0.42 inverse(sk_c8)=sk_c7|~sQ1_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.42 fof(f75,plain,(
% 0.14/0.42 ~inverse(sk_c8)=sk_c7|sQ1_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.42 fof(f76,plain,(
% 0.14/0.42 sQ0_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.42 fof(f77,definition,(
% 0.14/0.42 sQ2_spl <=> (multiply(sk_c4,sk_c8)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f78,plain,(
% 0.14/0.42 multiply(sk_c4,sk_c8)=sk_c7|~sQ2_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.42 fof(f80,plain,(
% 0.14/0.42 sQ0_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/0.42 fof(f81,definition,(
% 0.14/0.42 sQ3_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f82,plain,(
% 0.14/0.42 inverse(sk_c4)=sk_c8|~sQ3_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.42 fof(f84,plain,(
% 0.14/0.42 sQ0_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/0.42 fof(f85,definition,(
% 0.14/0.42 sQ4_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f86,plain,(
% 0.14/0.42 multiply(sk_c5,sk_c6)=sk_c7|~sQ4_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.42 fof(f88,plain,(
% 0.14/0.42 sQ0_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.14/0.42 fof(f89,definition,(
% 0.14/0.42 sQ5_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f90,plain,(
% 0.14/0.42 inverse(sk_c5)=sk_c6|~sQ5_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.42 fof(f92,plain,(
% 0.14/0.42 sQ0_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.14/0.42 fof(f93,definition,(
% 0.14/0.42 sQ6_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f96,plain,(
% 0.14/0.42 sQ0_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.14/0.42 fof(f97,definition,(
% 0.14/0.42 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f98,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.42 fof(f100,plain,(
% 0.14/0.42 sQ7_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.14/0.42 fof(f101,plain,(
% 0.14/0.42 sQ7_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.14/0.42 fof(f102,plain,(
% 0.14/0.42 sQ7_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.14/0.42 fof(f103,plain,(
% 0.14/0.42 sQ7_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.14/0.42 fof(f104,plain,(
% 0.14/0.42 sQ7_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.14/0.42 fof(f105,plain,(
% 0.14/0.42 sQ7_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.14/0.42 fof(f106,definition,(
% 0.14/0.42 sQ8_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f107,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=sk_c7|~sQ8_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.42 fof(f109,plain,(
% 0.14/0.42 sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.14/0.42 fof(f110,plain,(
% 0.14/0.42 sQ8_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.14/0.42 fof(f111,plain,(
% 0.14/0.42 sQ8_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.14/0.42 fof(f112,plain,(
% 0.14/0.42 sQ8_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.14/0.42 fof(f113,plain,(
% 0.14/0.42 sQ8_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.14/0.42 fof(f114,plain,(
% 0.14/0.42 sQ8_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.14/0.42 fof(f115,definition,(
% 0.14/0.42 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f116,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c8)=sk_c3|~sQ9_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.42 fof(f118,plain,(
% 0.14/0.42 sQ9_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.14/0.42 fof(f119,plain,(
% 0.14/0.42 sQ9_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.14/0.42 fof(f120,plain,(
% 0.14/0.42 sQ9_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.14/0.42 fof(f121,plain,(
% 0.14/0.42 sQ9_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.14/0.42 fof(f122,plain,(
% 0.14/0.42 sQ9_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.14/0.42 fof(f123,plain,(
% 0.14/0.42 sQ9_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.14/0.42 fof(f124,definition,(
% 0.14/0.42 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f125,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.42 fof(f127,plain,(
% 0.14/0.42 sQ10_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.14/0.42 fof(f128,plain,(
% 0.14/0.42 sQ10_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.14/0.42 fof(f129,plain,(
% 0.14/0.42 sQ10_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.14/0.42 fof(f130,plain,(
% 0.14/0.42 sQ10_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.14/0.42 fof(f131,plain,(
% 0.14/0.42 sQ10_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.14/0.42 fof(f132,plain,(
% 0.14/0.42 sQ10_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.14/0.42 fof(f133,definition,(
% 0.14/0.42 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f134,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ11_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.42 fof(f136,definition,(
% 0.14/0.42 ![X1,X2]: (sQ12_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f137,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ12_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.42 fof(f139,definition,(
% 0.14/0.42 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f140,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f139])).
% 0.14/0.42 fof(f142,definition,(
% 0.14/0.42 ![X4,X5]: (sQ14_spl <=> (~multiply(X4,X5)=sk_c7|~inverse(X4)=X5|~multiply(X5,sk_c8)=sk_c7))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f143,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c7|~sQ14_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f142])).
% 0.14/0.42 fof(f145,plain,(
% 0.14/0.42 sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f69,f133,f136,f73,f139,f142])).
% 0.14/0.42 fof(f152,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c4)=identity|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.14/0.42 fof(f154,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c1)=identity|~sQ0_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.14/0.42 fof(f155,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.14/0.42 fof(f156,plain,(
% 0.14/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.42 fof(f157,plain,(
% 0.14/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f35,f156])).
% 0.14/0.42 fof(f163,plain,(
% 0.14/0.42 ~inverse(sk_c5)=sk_c6|~multiply(sk_c6,sk_c8)=sk_c7|~sQ14_spl|~sQ4_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f143,f86])).
% 0.14/0.42 fof(f165,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c7|~multiply(sk_c7,sk_c8)=sk_c7|~sQ14_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f143,f35])).
% 0.14/0.42 fof(f166,plain,(
% 0.14/0.42 ~inverse(sk_c8)=sk_c3|~multiply(sk_c3,sk_c8)=sk_c7|~sQ14_spl|~sQ8_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f143,f107])).
% 0.14/0.42 fof(f170,plain,(
% 0.14/0.42 ~sk_c8=sk_c7|~inverse(sk_c1)=sk_c7|~multiply(sk_c7,sk_c8)=sk_c7|~sQ14_spl|~sQ7_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f98,f143])).
% 0.14/0.42 fof(f171,plain,(
% 0.14/0.42 ![X0]: (~identity=sk_c7|~inverse(inverse(X0))=X0|~multiply(X0,sk_c8)=sk_c7|~sQ14_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f36,f143])).
% 0.14/0.42 fof(f180,plain,(
% 0.14/0.42 ~sQ5_spl|~sQ6_spl|~sQ14_spl|~sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f163,f89,f93,f142,f85])).
% 0.14/0.42 fof(f185,definition,(
% 0.14/0.42 sQ17_spl <=> (inverse(identity)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f188,definition,(
% 0.14/0.42 sQ18_spl <=> (multiply(sk_c7,sk_c8)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f190,plain,(
% 0.14/0.42 ~multiply(sk_c7,sk_c8)=sk_c7|sQ18_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f188])).
% 0.14/0.42 fof(f191,plain,(
% 0.14/0.42 ~sQ17_spl|~sQ18_spl|~sQ14_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f165,f185,f188,f142])).
% 0.14/0.42 fof(f192,definition,(
% 0.14/0.42 sQ19_spl <=> (inverse(sk_c8)=sk_c3)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f195,definition,(
% 0.14/0.42 sQ20_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f198,plain,(
% 0.14/0.42 ~sQ19_spl|~sQ20_spl|~sQ14_spl|~sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f166,f192,f195,f142,f106])).
% 0.14/0.42 fof(f199,definition,(
% 0.14/0.42 sQ21_spl <=> (sk_c7=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f201,plain,(
% 0.14/0.42 ~sk_c7=sk_c7|sQ21_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.14/0.42 fof(f205,definition,(
% 0.14/0.42 sQ22_spl <=> (sk_c8=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f208,definition,(
% 0.14/0.42 sQ23_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f211,plain,(
% 0.14/0.42 ~sQ22_spl|~sQ23_spl|~sQ18_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f170,f205,f208,f188,f142,f97])).
% 0.14/0.42 fof(f212,definition,(
% 0.14/0.42 sQ24_spl <=> (identity=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f214,plain,(
% 0.14/0.42 ~identity=sk_c7|sQ24_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.42 fof(f215,definition,(
% 0.14/0.42 ![X0]: (sQ25_spl <=> (~inverse(inverse(X0))=X0|~multiply(X0,sk_c8)=sk_c7))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f218,plain,(
% 0.14/0.42 ~sQ24_spl|sQ25_spl|~sQ14_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f171,f212,f215,f142])).
% 0.14/0.42 fof(f220,definition,(
% 0.14/0.42 sQ26_spl <=> (sk_c3=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f222,plain,(
% 0.14/0.42 ~sk_c3=sk_c7|sQ26_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f220])).
% 0.14/0.42 fof(f224,plain,(
% 0.14/0.42 $false|sQ21_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f201])).
% 0.14/0.42 fof(f225,plain,(
% 0.14/0.42 sQ21_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f224])).
% 0.14/0.42 fof(f227,plain,(
% 0.14/0.42 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ13_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f36,f140])).
% 0.14/0.42 fof(f228,plain,(
% 0.14/0.42 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ13_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f35,f140])).
% 0.14/0.42 fof(f231,definition,(
% 0.14/0.42 sQ27_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f234,plain,(
% 0.14/0.42 ~sQ24_spl|~sQ27_spl|~sQ13_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f227,f212,f231,f139])).
% 0.14/0.42 fof(f235,definition,(
% 0.14/0.42 sQ28_spl <=> (inverse(identity)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f237,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c8|sQ28_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f235])).
% 0.14/0.42 fof(f238,plain,(
% 0.14/0.42 ~sQ22_spl|~sQ28_spl|~sQ13_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f228,f205,f235,f139])).
% 0.14/0.42 fof(f241,plain,(
% 0.14/0.42 ![X0]: (~sk_c7=sk_c7|~multiply(X0,sk_c8)=sk_c3|~inverse(X0)=sk_c8|~sQ12_spl|~sQ8_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f107,f137])).
% 0.14/0.42 fof(f242,definition,(
% 0.14/0.42 ![X0]: (sQ29_spl <=> (~multiply(X0,sk_c8)=sk_c3|~inverse(X0)=sk_c8))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f243,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c3|~inverse(X0)=sk_c8|~sQ29_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f242])).
% 0.14/0.42 fof(f245,plain,(
% 0.14/0.42 ~sQ21_spl|sQ29_spl|~sQ12_spl|~sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f241,f199,f242,f136,f106])).
% 0.14/0.42 fof(f246,plain,(
% 0.14/0.42 ~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ7_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f134,f98])).
% 0.14/0.42 fof(f250,plain,(
% 0.14/0.42 ![X0,X1]: (~inverse(multiply(X0,X1))=sk_c8|~multiply(X0,multiply(X1,sk_c7))=sk_c8|~sQ11_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f37,f134])).
% 0.14/0.42 fof(f251,plain,(
% 0.14/0.42 ~sk_c8=sk_c8|~sQ0_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f71,f246])).
% 0.14/0.42 fof(f252,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f251])).
% 0.14/0.42 fof(f253,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f252])).
% 0.14/0.42 fof(f263,plain,(
% 0.14/0.42 multiply(sk_c7,sk_c8)=identity|~sQ1_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f74,f36])).
% 0.14/0.42 fof(f272,plain,(
% 0.14/0.42 ~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ2_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f140,f78])).
% 0.14/0.42 fof(f279,plain,(
% 0.14/0.42 ~sk_c8=sk_c8|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f82,f272])).
% 0.14/0.42 fof(f280,plain,(
% 0.14/0.42 $false|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f279])).
% 0.14/0.42 fof(f281,plain,(
% 0.14/0.42 ~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f280])).
% 0.14/0.42 fof(f300,plain,(
% 0.14/0.42 sk_c6=multiply(inverse(sk_c5),sk_c7)|~sQ4_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f86,f157])).
% 0.14/0.42 fof(f304,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f35,f157])).
% 0.14/0.42 fof(f309,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ9_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f116,f157])).
% 0.14/0.42 fof(f311,plain,(
% 0.14/0.42 sk_c6=multiply(sk_c6,sk_c7)|~sQ5_spl|~sQ4_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f90,f300])).
% 0.14/0.42 fof(f316,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c8,sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f125,f309])).
% 0.14/0.42 fof(f326,plain,(
% 0.14/0.42 ~inverse(sk_c2)=sk_c8|~sQ29_spl|~sQ9_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f243,f116])).
% 0.14/0.42 fof(f328,plain,(
% 0.14/0.42 ~sk_c7=sk_c3|~inverse(sk_c4)=sk_c8|~sQ29_spl|~sQ2_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f78,f243])).
% 0.14/0.42 fof(f333,plain,(
% 0.14/0.42 ~sk_c8=sk_c8|~sQ10_spl|~sQ29_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f125,f326])).
% 0.14/0.42 fof(f334,plain,(
% 0.14/0.42 $false|~sQ10_spl|~sQ29_spl|~sQ9_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f333])).
% 0.14/0.42 fof(f335,plain,(
% 0.14/0.42 ~sQ10_spl|~sQ29_spl|~sQ9_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f334])).
% 0.14/0.42 fof(f337,plain,(
% 0.14/0.42 ~sQ26_spl|~sQ3_spl|~sQ29_spl|~sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f328,f220,f81,f242,f77])).
% 0.14/0.42 fof(f373,plain,(
% 0.14/0.42 ~identity=sk_c7|~sQ1_spl|sQ18_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f263,f190])).
% 0.14/0.42 fof(f379,plain,(
% 0.14/0.42 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f311,f157])).
% 0.14/0.42 fof(f386,plain,(
% 0.14/0.42 sk_c7=identity|~sQ5_spl|~sQ4_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f36,f379])).
% 0.14/0.42 fof(f387,plain,(
% 0.14/0.42 $false|sQ24_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f386,f214])).
% 0.14/0.42 fof(f388,plain,(
% 0.14/0.42 sQ24_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f387])).
% 0.14/0.42 fof(f389,plain,(
% 0.14/0.42 ~sQ24_spl|~sQ1_spl|sQ18_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f373,f212,f73,f188])).
% 0.14/0.42 fof(f394,plain,(
% 0.14/0.42 ![X0]: (~inverse(multiply(inverse(X0),X0))=sk_c8|~sk_c7=sk_c8|~sQ11_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f157,f250])).
% 0.14/0.42 fof(f417,definition,(
% 0.14/0.42 ![X0]: (sQ40_spl <=> (~inverse(multiply(inverse(X0),X0))=sk_c8))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f420,plain,(
% 0.14/0.42 sQ40_spl|~sQ22_spl|~sQ11_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f394,f417,f205,f133])).
% 0.14/0.42 fof(f428,plain,(
% 0.14/0.42 multiply(identity,sk_c8)=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f386,f263])).
% 0.14/0.42 fof(f437,plain,(
% 0.14/0.42 ~sk_c3=identity|~sQ5_spl|~sQ4_spl|sQ26_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f386,f222])).
% 0.14/0.42 fof(f438,plain,(
% 0.14/0.42 sk_c8=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f35,f428])).
% 0.14/0.42 fof(f447,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=identity|~sQ5_spl|~sQ4_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f386,f107])).
% 0.14/0.42 fof(f452,plain,(
% 0.14/0.42 multiply(identity,sk_c3)=identity|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ8_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f438,f447])).
% 0.14/0.42 fof(f455,plain,(
% 0.14/0.42 multiply(identity,sk_c4)=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f438,f152])).
% 0.14/0.42 fof(f457,plain,(
% 0.14/0.42 inverse(sk_c4)=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f438,f82])).
% 0.14/0.42 fof(f458,plain,(
% 0.14/0.42 sk_c3=identity|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f35,f452])).
% 0.14/0.42 fof(f459,plain,(
% 0.14/0.42 sk_c4=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f35,f455])).
% 0.14/0.42 fof(f460,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(identity,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f438,f137])).
% 0.14/0.42 fof(f461,plain,(
% 0.14/0.42 ![X0,X1]: (~X0=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f35,f460])).
% 0.14/0.42 fof(f462,plain,(
% 0.14/0.42 ![X0,X1]: (~X0=identity|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f386,f461])).
% 0.14/0.42 fof(f463,plain,(
% 0.14/0.42 ![X0,X1]: (~X0=identity|~multiply(X1,identity)=X0|~inverse(X1)=sk_c8|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f438,f462])).
% 0.14/0.42 fof(f464,plain,(
% 0.14/0.42 ![X0,X1]: (~X0=identity|~multiply(X1,identity)=X0|~inverse(X1)=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f438,f463])).
% 0.14/0.42 fof(f465,plain,(
% 0.14/0.42 ~identity=identity|~inverse(inverse(identity))=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f464,f36])).
% 0.14/0.42 fof(f474,definition,(
% 0.14/0.42 sQ42_spl <=> (identity=identity)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f476,plain,(
% 0.14/0.42 ~identity=identity|sQ42_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f474])).
% 0.14/0.42 fof(f477,definition,(
% 0.14/0.42 sQ43_spl <=> (inverse(inverse(identity))=identity)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f479,plain,(
% 0.14/0.42 ~inverse(inverse(identity))=identity|sQ43_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f477])).
% 0.14/0.42 fof(f480,plain,(
% 0.14/0.42 ~sQ42_spl|~sQ43_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f465,f474,f477,f89,f85,f73,f136])).
% 0.14/0.42 fof(f487,definition,(
% 0.14/0.42 ![X0]: (sQ45_spl <=> (~X0=identity|~identity=X0))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f488,plain,(
% 0.14/0.42 ![X0]: (~X0=identity|~identity=X0|~sQ45_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f487])).
% 0.14/0.42 fof(f492,plain,(
% 0.14/0.42 $false|sQ42_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f476])).
% 0.14/0.42 fof(f493,plain,(
% 0.14/0.42 sQ42_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f492])).
% 0.14/0.42 fof(f494,plain,(
% 0.14/0.42 $false|sQ26_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f458,f437])).
% 0.14/0.42 fof(f495,plain,(
% 0.14/0.42 sQ26_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ8_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f494])).
% 0.14/0.42 fof(f496,plain,(
% 0.14/0.42 ![X0]: (~X0=identity|~sQ45_spl)),
% 0.14/0.42 inference(duplicate_literals_removal,[status(thm)],[f488])).
% 0.14/0.42 fof(f505,plain,(
% 0.14/0.42 $false|~sQ45_spl),
% 0.14/0.42 inference(backward_subsumption_resolution,[status(thm)],[f36,f496])).
% 0.14/0.42 fof(f509,plain,(
% 0.14/0.42 ~sQ45_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f505])).
% 0.14/0.42 fof(f510,plain,(
% 0.14/0.42 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f98,f157])).
% 0.14/0.42 fof(f512,plain,(
% 0.14/0.42 sk_c7=multiply(sk_c8,sk_c8)|~sQ0_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f71,f510])).
% 0.14/0.42 fof(f545,plain,(
% 0.14/0.42 ~sk_c8=sk_c7|~inverse(inverse(identity))=sk_c8|~sQ13_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f304,f140])).
% 0.14/0.42 fof(f548,definition,(
% 0.14/0.42 sQ46_spl <=> (inverse(inverse(identity))=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f551,plain,(
% 0.14/0.42 ~sQ22_spl|~sQ46_spl|~sQ13_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f545,f205,f548,f139])).
% 0.14/0.42 fof(f554,plain,(
% 0.14/0.42 ~inverse(inverse(identity))=sk_c7|~multiply(sk_c7,sk_c8)=sk_c7|~sQ14_spl),
% 0.14/0.43 inference(resolution,[status(thm)],[f143,f304])).
% 0.14/0.43 fof(f560,plain,(
% 0.14/0.43 ~identity=sk_c7|~inverse(sk_c8)=sk_c1|~multiply(sk_c1,sk_c8)=sk_c7|~sQ14_spl|~sQ0_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f154,f143])).
% 0.14/0.43 fof(f569,definition,(
% 0.14/0.43 sQ47_spl <=> (inverse(inverse(identity))=sk_c7)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f572,plain,(
% 0.14/0.43 ~sQ47_spl|~sQ18_spl|~sQ14_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f554,f569,f188,f142])).
% 0.14/0.43 fof(f579,definition,(
% 0.14/0.43 sQ48_spl <=> (inverse(sk_c8)=sk_c1)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f582,definition,(
% 0.14/0.43 sQ49_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f585,plain,(
% 0.14/0.43 ~sQ24_spl|~sQ48_spl|~sQ49_spl|~sQ14_spl|~sQ0_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f560,f212,f579,f582,f142,f70])).
% 0.14/0.43 fof(f589,plain,(
% 0.14/0.43 ~identity=sk_c7|~inverse(sk_c8)=sk_c2|~multiply(sk_c2,sk_c8)=sk_c7|~sQ14_spl|~sQ10_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f155,f143])).
% 0.14/0.43 fof(f592,definition,(
% 0.14/0.43 sQ50_spl <=> (inverse(sk_c8)=sk_c2)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f595,definition,(
% 0.14/0.43 sQ51_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f598,plain,(
% 0.14/0.43 ~sQ24_spl|~sQ50_spl|~sQ51_spl|~sQ14_spl|~sQ10_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f589,f212,f592,f595,f142,f124])).
% 0.14/0.43 fof(f600,plain,(
% 0.14/0.43 sk_c8=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f316,f107])).
% 0.14/0.43 fof(f602,plain,(
% 0.14/0.43 sk_c3=multiply(inverse(sk_c8),sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f316,f157])).
% 0.14/0.43 fof(f605,plain,(
% 0.14/0.43 sk_c3=identity|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f36,f602])).
% 0.14/0.43 fof(f606,plain,(
% 0.14/0.43 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f600,f143])).
% 0.14/0.43 fof(f607,plain,(
% 0.14/0.43 ~identity=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ24_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f600,f214])).
% 0.14/0.43 fof(f612,plain,(
% 0.14/0.43 multiply(sk_c1,sk_c8)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f600,f98])).
% 0.14/0.43 fof(f613,plain,(
% 0.14/0.43 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f600,f606])).
% 0.14/0.43 fof(f630,definition,(
% 0.14/0.43 sQ52_spl <=> (multiply(sk_c8,sk_c8)=sk_c8)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f632,plain,(
% 0.14/0.43 ~multiply(sk_c8,sk_c8)=sk_c8|sQ52_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f630])).
% 0.14/0.43 fof(f649,plain,(
% 0.14/0.43 ~inverse(sk_c1)=sk_c8|~multiply(sk_c8,sk_c8)=sk_c8|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl),
% 0.14/0.43 inference(resolution,[status(thm)],[f612,f613])).
% 0.14/0.43 fof(f653,plain,(
% 0.14/0.43 ~sQ0_spl|~sQ52_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f649,f70,f630,f97,f124,f115,f106,f142])).
% 0.14/0.43 fof(f673,plain,(
% 0.14/0.43 sk_c8=multiply(sk_c8,sk_c8)|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f600,f512])).
% 0.14/0.43 fof(f676,plain,(
% 0.14/0.43 sk_c8=multiply(inverse(sk_c8),sk_c8)|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f673,f157])).
% 0.14/0.43 fof(f683,plain,(
% 0.14/0.43 sk_c8=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f36,f676])).
% 0.14/0.43 fof(f684,plain,(
% 0.14/0.43 $false|sQ24_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f683,f607])).
% 0.14/0.43 fof(f685,plain,(
% 0.14/0.43 sQ24_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f684])).
% 0.14/0.43 fof(f699,plain,(
% 0.14/0.43 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,identity)=sk_c8|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f386,f134])).
% 0.14/0.43 fof(f721,plain,(
% 0.14/0.43 inverse(identity)=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f459,f457])).
% 0.14/0.43 fof(f746,plain,(
% 0.14/0.43 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c8|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f438,f699])).
% 0.14/0.43 fof(f747,plain,(
% 0.14/0.43 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f438,f746])).
% 0.14/0.43 fof(f749,plain,(
% 0.14/0.43 ~inverse(inverse(identity))=identity|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.14/0.43 inference(resolution,[status(thm)],[f747,f36])).
% 0.14/0.43 fof(f755,plain,(
% 0.14/0.43 ~inverse(identity)=identity|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f721,f749])).
% 0.14/0.43 fof(f756,plain,(
% 0.14/0.43 ~identity=identity|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f721,f755])).
% 0.14/0.43 fof(f757,plain,(
% 0.14/0.43 $false|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f756])).
% 0.14/0.43 fof(f758,plain,(
% 0.14/0.43 ~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f757])).
% 0.14/0.43 fof(f759,plain,(
% 0.14/0.43 ~inverse(identity)=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|sQ43_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f721,f479])).
% 0.14/0.43 fof(f760,plain,(
% 0.14/0.43 ~identity=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|sQ43_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f721,f759])).
% 0.14/0.43 fof(f761,plain,(
% 0.14/0.43 $false|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|sQ43_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f760])).
% 0.14/0.43 fof(f762,plain,(
% 0.14/0.43 ~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|sQ43_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f761])).
% 0.14/0.43 fof(f763,plain,(
% 0.14/0.43 sQ22_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f600,f205,f124,f115,f106])).
% 0.14/0.43 fof(f764,plain,(
% 0.14/0.43 inverse(sk_c2)=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f683,f125])).
% 0.14/0.43 fof(f765,plain,(
% 0.14/0.43 multiply(identity,sk_c2)=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f764,f36])).
% 0.14/0.43 fof(f767,plain,(
% 0.14/0.43 sk_c2=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f35,f765])).
% 0.14/0.43 fof(f774,plain,(
% 0.14/0.43 ~multiply(identity,sk_c8)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ52_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f683,f632])).
% 0.14/0.43 fof(f775,plain,(
% 0.14/0.43 ~sk_c8=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ52_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f35,f774])).
% 0.14/0.43 fof(f776,plain,(
% 0.14/0.43 ~identity=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ52_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f683,f775])).
% 0.14/0.43 fof(f777,plain,(
% 0.14/0.43 ~identity=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ52_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f683,f776])).
% 0.14/0.43 fof(f778,plain,(
% 0.14/0.43 $false|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ52_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f777])).
% 0.14/0.43 fof(f779,plain,(
% 0.14/0.43 ~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ52_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f778])).
% 0.14/0.43 fof(f780,plain,(
% 0.14/0.43 ~inverse(identity)=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ28_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f683,f237])).
% 0.14/0.43 fof(f781,plain,(
% 0.14/0.43 ~inverse(identity)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f683,f75])).
% 0.14/0.43 fof(f795,plain,(
% 0.14/0.43 multiply(identity,sk_c3)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f683,f107])).
% 0.14/0.43 fof(f796,plain,(
% 0.14/0.43 sk_c3=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f35,f795])).
% 0.14/0.43 fof(f797,plain,(
% 0.14/0.43 identity=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f605,f796])).
% 0.14/0.43 fof(f802,plain,(
% 0.14/0.43 inverse(identity)=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f767,f764])).
% 0.14/0.43 fof(f803,plain,(
% 0.14/0.43 inverse(sk_c1)=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f683,f71])).
% 0.14/0.43 fof(f804,plain,(
% 0.14/0.43 multiply(identity,sk_c1)=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f803,f36])).
% 0.14/0.43 fof(f806,plain,(
% 0.14/0.43 sk_c1=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f35,f804])).
% 0.14/0.43 fof(f810,plain,(
% 0.14/0.43 inverse(identity)=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f806,f803])).
% 0.14/0.43 fof(f813,plain,(
% 0.14/0.43 ~inverse(identity)=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f797,f781])).
% 0.14/0.43 fof(f814,plain,(
% 0.14/0.43 $false|sQ28_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f802,f780])).
% 0.14/0.43 fof(f815,plain,(
% 0.14/0.43 sQ28_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f814])).
% 0.14/0.43 fof(f823,plain,(
% 0.14/0.43 ~identity=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f810,f813])).
% 0.14/0.43 fof(f824,plain,(
% 0.14/0.43 $false|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f823])).
% 0.14/0.43 fof(f825,plain,(
% 0.14/0.43 ~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f824])).
% 0.14/0.43 fof(f826,plain,(
% 0.14/0.43 $false),
% 0.14/0.43 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,f180,f191,f198,f211,f218,f225,f234,f238,f245,f253,f281,f335,f337,f388,f389,f420,f480,f493,f495,f509,f551,f572,f585,f598,f653,f685,f758,f762,f763,f779,f815,f825])).
% 0.14/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.075019 seconds
% 0.14/0.44 % CPU time: 0.339820 seconds
% 0.14/0.44 % Total memory used: 107.823 MB
% 0.14/0.44 % Net memory used: 107.593 MB
%------------------------------------------------------------------------------