%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP279-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:36:22 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP279-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:08:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f22,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f23,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f24,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f25,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f26,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f27,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f28,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f30,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f31,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f32,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f33,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f34,negated_conjecture,(
% 0.14/0.39 (![X3,X4,X5,X1,X2]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(X4,X5) != sk_c8| inverse(X4) != X5| multiply(X5,sk_c7) != sk_c8| multiply(sk_c7,sk_c8) != sk_c6| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(X2,sk_c6) != sk_c7 ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f40,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.39 fof(f59,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.39 fof(f64,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ![X2]: (((![X1]: ((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(X4,X5)=sk_c8)|~inverse(X4)=X5))|~multiply(X5,sk_c7)=sk_c8))|~multiply(sk_c7,sk_c8)=sk_c6)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~inverse(X2)=sk_c7)|~multiply(X2,sk_c6)=sk_c7)),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.39 fof(f69,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c8|~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.39 fof(f70,definition,(
% 0.14/0.39 sQ0_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c7)=sk_c6|~sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.39 fof(f73,definition,(
% 0.14/0.39 sQ1_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c8)=sk_c6|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.39 fof(f75,plain,(
% 0.14/0.39 ~multiply(sk_c7,sk_c8)=sk_c6|sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.39 fof(f76,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.39 fof(f77,definition,(
% 0.14/0.39 sQ2_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c8|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 sQ0_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/0.39 fof(f81,definition,(
% 0.14/0.39 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f82,plain,(
% 0.14/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.39 fof(f84,plain,(
% 0.14/0.39 sQ0_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/0.39 fof(f85,definition,(
% 0.14/0.39 sQ4_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f86,plain,(
% 0.14/0.39 inverse(sk_c5)=sk_c7|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.39 fof(f88,plain,(
% 0.14/0.39 sQ0_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.14/0.39 fof(f89,definition,(
% 0.14/0.39 sQ5_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f90,plain,(
% 0.14/0.39 multiply(sk_c5,sk_c6)=sk_c7|~sQ5_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.39 fof(f92,plain,(
% 0.14/0.39 sQ0_spl|sQ5_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.14/0.39 fof(f93,definition,(
% 0.14/0.39 sQ6_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f94,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.39 fof(f96,plain,(
% 0.14/0.39 sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.14/0.39 fof(f97,plain,(
% 0.14/0.39 sQ6_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.14/0.39 fof(f98,plain,(
% 0.14/0.39 sQ6_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.14/0.39 fof(f99,plain,(
% 0.14/0.39 sQ6_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 sQ6_spl|sQ5_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.14/0.39 fof(f101,definition,(
% 0.14/0.39 sQ7_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f102,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|~sQ7_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.39 fof(f104,plain,(
% 0.14/0.39 sQ7_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.14/0.39 fof(f105,plain,(
% 0.14/0.39 sQ7_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.14/0.39 fof(f107,plain,(
% 0.14/0.39 sQ7_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.14/0.39 fof(f108,plain,(
% 0.14/0.39 sQ7_spl|sQ5_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.14/0.39 fof(f109,definition,(
% 0.14/0.39 sQ8_spl <=> (multiply(sk_c2,sk_c3)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f110,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c3)=sk_c8|~sQ8_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.39 fof(f112,plain,(
% 0.14/0.39 sQ8_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.14/0.39 fof(f113,plain,(
% 0.14/0.39 sQ8_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.14/0.39 fof(f114,plain,(
% 0.14/0.39 sQ8_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.14/0.39 fof(f115,plain,(
% 0.14/0.39 sQ8_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.14/0.39 fof(f116,plain,(
% 0.14/0.39 sQ8_spl|sQ5_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.14/0.39 fof(f117,definition,(
% 0.14/0.39 sQ9_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f118,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c3|~sQ9_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.39 fof(f120,plain,(
% 0.14/0.39 sQ9_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.14/0.39 fof(f121,plain,(
% 0.14/0.39 sQ9_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.14/0.39 fof(f122,plain,(
% 0.14/0.39 sQ9_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.14/0.39 fof(f123,plain,(
% 0.14/0.39 sQ9_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.14/0.39 fof(f124,plain,(
% 0.14/0.39 sQ9_spl|sQ5_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.14/0.39 fof(f125,definition,(
% 0.14/0.39 sQ10_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f126,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c8|~sQ10_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.39 fof(f129,plain,(
% 0.14/0.39 sQ10_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.14/0.39 fof(f130,plain,(
% 0.14/0.39 sQ10_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.14/0.39 fof(f131,plain,(
% 0.14/0.39 sQ10_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.14/0.39 fof(f132,plain,(
% 0.14/0.39 sQ10_spl|sQ5_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.14/0.39 fof(f133,definition,(
% 0.14/0.39 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f134,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.39 fof(f136,definition,(
% 0.14/0.39 ![X1,X2]: (sQ12_spl <=> (~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c8))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f137,plain,(
% 0.14/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ12_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.39 fof(f139,definition,(
% 0.14/0.39 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f140,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ13_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.14/0.39 fof(f142,definition,(
% 0.14/0.39 ![X4]: (sQ14_spl <=> (~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f143,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ14_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.14/0.39 fof(f145,plain,(
% 0.14/0.39 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.14/0.39 fof(f146,plain,(
% 0.14/0.39 ~inverse(sk_c5)=sk_c7|~sQ14_spl|~sQ5_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f143,f90])).
% 0.14/0.39 fof(f148,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.14/0.39 fof(f149,plain,(
% 0.14/0.39 $false|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.14/0.39 fof(f150,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f149])).
% 0.14/0.39 fof(f152,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f140,f82])).
% 0.14/0.39 fof(f153,plain,(
% 0.14/0.39 ~inverse(sk_c8)=sk_c8|~sk_c6=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.14/0.39 fof(f156,plain,(
% 0.14/0.39 ~sk_c8=sk_c8|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f78,f152])).
% 0.14/0.39 fof(f157,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f156])).
% 0.14/0.39 fof(f158,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f157])).
% 0.14/0.39 fof(f159,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ12_spl)),
% 0.14/0.39 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.14/0.39 fof(f160,plain,(
% 0.14/0.39 ~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ6_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f134,f94])).
% 0.14/0.39 fof(f162,plain,(
% 0.14/0.39 ~sk_c8=sk_c8|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f102,f160])).
% 0.14/0.39 fof(f163,plain,(
% 0.14/0.39 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f162])).
% 0.14/0.39 fof(f164,plain,(
% 0.14/0.39 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f163])).
% 0.14/0.39 fof(f170,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ3_spl)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.14/0.39 fof(f175,plain,(
% 0.14/0.39 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|~multiply(sk_c3,sk_c7)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f118,f159])).
% 0.14/0.39 fof(f179,definition,(
% 0.14/0.39 sQ16_spl <=> (multiply(sk_c8,sk_c7)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f181,plain,(
% 0.14/0.39 ~multiply(sk_c8,sk_c7)=sk_c8|sQ16_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f179])).
% 0.14/0.39 fof(f183,definition,(
% 0.14/0.39 sQ17_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f185,plain,(
% 0.14/0.39 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|sQ17_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f183])).
% 0.14/0.39 fof(f186,plain,(
% 0.14/0.39 ~sQ17_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f175,f183,f125,f136,f117])).
% 0.14/0.39 fof(f187,plain,(
% 0.14/0.39 ~multiply(sk_c2,sk_c3)=sk_c8|~sQ9_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f118,f185])).
% 0.14/0.39 fof(f188,plain,(
% 0.14/0.39 ~sk_c8=sk_c8|~sQ8_spl|~sQ9_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f110,f187])).
% 0.14/0.39 fof(f189,plain,(
% 0.14/0.39 $false|~sQ8_spl|~sQ9_spl|sQ17_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f188])).
% 0.14/0.39 fof(f190,plain,(
% 0.14/0.39 ~sQ8_spl|~sQ9_spl|sQ17_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f189])).
% 0.14/0.39 fof(f194,definition,(
% 0.14/0.39 sQ18_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f196,plain,(
% 0.14/0.39 ~inverse(sk_c8)=sk_c8|sQ18_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f194])).
% 0.14/0.39 fof(f197,definition,(
% 0.14/0.39 sQ19_spl <=> (sk_c6=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f199,plain,(
% 0.14/0.39 ~sk_c6=sk_c8|sQ19_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f197])).
% 0.14/0.39 fof(f200,plain,(
% 0.14/0.39 ~sQ18_spl|~sQ19_spl|~sQ13_spl|~sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f153,f194,f197,f139,f70])).
% 0.14/0.39 fof(f204,definition,(
% 0.14/0.39 sQ21_spl <=> (sk_c8=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f206,plain,(
% 0.14/0.39 ~sk_c8=sk_c8|sQ21_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f204])).
% 0.14/0.39 fof(f210,plain,(
% 0.14/0.39 $false|sQ21_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f206])).
% 0.14/0.39 fof(f211,plain,(
% 0.14/0.39 sQ21_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f210])).
% 0.14/0.39 fof(f213,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c1)=identity|~sQ7_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f102,f36])).
% 0.14/0.39 fof(f214,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c2)=identity|~sQ9_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f118,f36])).
% 0.14/0.39 fof(f215,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.39 fof(f216,plain,(
% 0.14/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f35,f215])).
% 0.14/0.39 fof(f225,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f35,f216])).
% 0.14/0.39 fof(f229,plain,(
% 0.14/0.39 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ6_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f94,f216])).
% 0.14/0.39 fof(f230,plain,(
% 0.14/0.39 sk_c3=multiply(inverse(sk_c2),sk_c8)|~sQ8_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f110,f216])).
% 0.14/0.39 fof(f235,plain,(
% 0.14/0.39 sk_c8=multiply(sk_c8,sk_c7)|~sQ7_spl|~sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f102,f229])).
% 0.14/0.39 fof(f236,plain,(
% 0.14/0.39 sk_c8=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f71,f235])).
% 0.14/0.39 fof(f237,plain,(
% 0.14/0.39 sk_c3=multiply(sk_c3,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f118,f230])).
% 0.14/0.39 fof(f239,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c1)=identity|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f236,f213])).
% 0.14/0.39 fof(f240,plain,(
% 0.14/0.39 ~multiply(sk_c7,sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f236,f75])).
% 0.14/0.39 fof(f242,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c6)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f236,f94])).
% 0.14/0.39 fof(f244,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f236,f126])).
% 0.14/0.39 fof(f245,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c6|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f236,f102])).
% 0.14/0.39 fof(f252,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f225,f216])).
% 0.14/0.39 fof(f254,plain,(
% 0.14/0.39 sk_c3=multiply(sk_c3,sk_c6)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f236,f237])).
% 0.14/0.39 fof(f255,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c3),sk_c3)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f254,f216])).
% 0.14/0.39 fof(f257,plain,(
% 0.14/0.39 sk_c6=identity|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f36,f255])).
% 0.14/0.39 fof(f259,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c2)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f257,f214])).
% 0.14/0.39 fof(f261,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f257,f35])).
% 0.14/0.39 fof(f264,plain,(
% 0.14/0.39 sk_c6=sk_c1|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f265,f257])).
% 0.14/0.39 fof(f265,plain,(
% 0.14/0.39 sk_c1=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f261,f239])).
% 0.14/0.39 fof(f266,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c1,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f264,f261])).
% 0.14/0.39 fof(f268,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f264,f245])).
% 0.14/0.39 fof(f269,plain,(
% 0.14/0.39 sk_c8=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f264,f236])).
% 0.14/0.39 fof(f271,plain,(
% 0.14/0.39 ~multiply(sk_c7,sk_c1)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f264,f240])).
% 0.14/0.39 fof(f272,plain,(
% 0.14/0.39 ~multiply(sk_c7,sk_c1)=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f264,f271])).
% 0.14/0.39 fof(f277,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c1)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f264,f242])).
% 0.14/0.39 fof(f280,plain,(
% 0.14/0.39 sk_c1=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f266,f277])).
% 0.14/0.39 fof(f284,plain,(
% 0.14/0.39 ~multiply(sk_c1,sk_c1)=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f280,f272])).
% 0.14/0.39 fof(f286,plain,(
% 0.14/0.39 ~sk_c1=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f266,f284])).
% 0.14/0.39 fof(f287,plain,(
% 0.14/0.39 $false|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f286])).
% 0.14/0.39 fof(f288,plain,(
% 0.14/0.39 ~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f287])).
% 0.14/0.39 fof(f290,plain,(
% 0.14/0.39 ~inverse(sk_c1)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ18_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f269,f196])).
% 0.14/0.39 fof(f291,plain,(
% 0.14/0.39 ~inverse(sk_c1)=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ18_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f269,f290])).
% 0.14/0.39 fof(f307,plain,(
% 0.14/0.39 ~sk_c1=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ18_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f268,f291])).
% 0.14/0.39 fof(f308,plain,(
% 0.14/0.39 $false|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ18_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f307])).
% 0.14/0.39 fof(f309,plain,(
% 0.14/0.39 ~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ18_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f308])).
% 0.14/0.39 fof(f310,plain,(
% 0.14/0.39 ~sk_c1=sk_c8|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ19_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f264,f199])).
% 0.14/0.39 fof(f311,plain,(
% 0.14/0.39 ~sk_c1=sk_c1|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ19_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f269,f310])).
% 0.14/0.39 fof(f312,plain,(
% 0.14/0.39 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ19_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f311])).
% 0.14/0.39 fof(f313,plain,(
% 0.14/0.39 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ19_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f312])).
% 0.14/0.39 fof(f317,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c6)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f280,f143])).
% 0.14/0.39 fof(f318,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f264,f317])).
% 0.14/0.39 fof(f319,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f280,f318])).
% 0.14/0.39 fof(f320,definition,(
% 0.14/0.39 sQ22_spl <=> (sk_c7=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f322,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|sQ22_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f320])).
% 0.14/0.39 fof(f325,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c1)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f280,f244])).
% 0.14/0.39 fof(f326,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c1)=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f264,f325])).
% 0.14/0.39 fof(f328,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c3,multiply(sk_c1,X0))|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f326,f37])).
% 0.14/0.39 fof(f329,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(sk_c3,multiply(sk_c1,X0))|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f266,f328])).
% 0.14/0.39 fof(f330,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(sk_c3,X0)|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f266,f329])).
% 0.14/0.39 fof(f338,plain,(
% 0.14/0.39 sk_c2=sk_c1|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f339,f264])).
% 0.14/0.39 fof(f339,plain,(
% 0.14/0.39 sk_c2=sk_c6|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f330,f259])).
% 0.14/0.39 fof(f342,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f338,f268])).
% 0.14/0.39 fof(f347,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f338,f342])).
% 0.14/0.39 fof(f348,plain,(
% 0.14/0.39 sk_c3=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f118,f347])).
% 0.14/0.39 fof(f349,plain,(
% 0.14/0.39 sk_c3=sk_c1|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f348,f338])).
% 0.14/0.39 fof(f351,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c3|~sQ10_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f348,f118])).
% 0.14/0.39 fof(f382,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c1)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f349,f319])).
% 0.14/0.39 fof(f383,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f349,f382])).
% 0.14/0.39 fof(f384,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c3|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f349,f383])).
% 0.14/0.39 fof(f386,plain,(
% 0.14/0.39 ~inverse(sk_c3)=sk_c3|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f384,f330])).
% 0.14/0.39 fof(f390,plain,(
% 0.14/0.39 ~sk_c3=sk_c3|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f351,f386])).
% 0.14/0.39 fof(f391,plain,(
% 0.14/0.39 $false|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f390])).
% 0.14/0.39 fof(f392,plain,(
% 0.14/0.39 ~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f391])).
% 0.14/0.39 fof(f394,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~sQ2_spl)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f78,f216])).
% 0.14/0.39 fof(f395,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f82,f216])).
% 0.14/0.39 fof(f397,plain,(
% 0.14/0.39 sk_c7=multiply(sk_c8,sk_c8)|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f78,f395])).
% 0.14/0.39 fof(f399,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ1_spl)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.14/0.39 fof(f400,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c5),sk_c7)|~sQ5_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f90,f216])).
% 0.14/0.39 fof(f402,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c7,sk_c7)|~sQ4_spl|~sQ5_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f86,f400])).
% 0.14/0.39 fof(f403,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f216,f225])).
% 0.14/0.39 fof(f436,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c5)=identity|~sQ4_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f86,f36])).
% 0.14/0.39 fof(f453,plain,(
% 0.14/0.39 inverse(identity)=identity),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f36,f252])).
% 0.14/0.39 fof(f483,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c8)=multiply(sk_c4,sk_c6)|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f74,f170])).
% 0.14/0.39 fof(f487,plain,(
% 0.14/0.39 sk_c7=multiply(sk_c4,sk_c6)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f397,f483])).
% 0.14/0.39 fof(f493,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c8)=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f397,f399])).
% 0.14/0.39 fof(f498,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c8)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f402,f493])).
% 0.14/0.39 fof(f501,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f487,f394])).
% 0.14/0.39 fof(f504,plain,(
% 0.14/0.39 sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f501,f70,f77,f81,f73])).
% 0.14/0.39 fof(f509,plain,(
% 0.14/0.39 sk_c8=multiply(inverse(sk_c6),sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f498,f216])).
% 0.14/0.39 fof(f512,plain,(
% 0.14/0.39 sk_c8=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f36,f509])).
% 0.14/0.39 fof(f513,plain,(
% 0.14/0.39 inverse(identity)=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f512,f453])).
% 0.14/0.39 fof(f514,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c5)=sk_c8|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f512,f436])).
% 0.14/0.39 fof(f518,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c8,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f512,f403])).
% 0.14/0.39 fof(f519,plain,(
% 0.14/0.39 inverse(sk_c8)=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f512,f513])).
% 0.14/0.39 fof(f521,plain,(
% 0.14/0.39 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|~multiply(sk_c8,sk_c7)=sk_c8|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f519,f159])).
% 0.14/0.39 fof(f524,definition,(
% 0.14/0.39 sQ23_spl <=> (multiply(sk_c8,inverse(sk_c8))=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f526,plain,(
% 0.14/0.39 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|sQ23_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f524])).
% 0.14/0.39 fof(f527,plain,(
% 0.14/0.39 ~sQ23_spl|~sQ16_spl|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f521,f524,f179,f136,f85,f89,f73,f77,f81])).
% 0.14/0.39 fof(f535,definition,(
% 0.14/0.39 sQ26_spl <=> (multiply(sk_c7,sk_c7)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f536,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c7)=sk_c8|~sQ26_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f535])).
% 0.14/0.39 fof(f537,plain,(
% 0.14/0.39 ~multiply(sk_c7,sk_c7)=sk_c8|sQ26_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f535])).
% 0.14/0.39 fof(f540,plain,(
% 0.14/0.39 ~sk_c6=sk_c8|~sQ4_spl|~sQ5_spl|sQ26_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f402,f537])).
% 0.14/0.39 fof(f542,plain,(
% 0.14/0.39 ~multiply(sk_c8,sk_c8)=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ23_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f519,f526])).
% 0.14/0.39 fof(f543,plain,(
% 0.14/0.39 ~sk_c7=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ23_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f397,f542])).
% 0.14/0.39 fof(f544,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(sk_c4,X0)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f518,f394])).
% 0.14/0.39 fof(f545,plain,(
% 0.14/0.39 sk_c7=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f518,f397])).
% 0.14/0.39 fof(f546,plain,(
% 0.14/0.39 ~sk_c7=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f518,f181])).
% 0.14/0.39 fof(f552,plain,(
% 0.14/0.39 $false|sQ23_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f545,f543])).
% 0.14/0.39 fof(f553,plain,(
% 0.14/0.39 sQ23_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f552])).
% 0.14/0.39 fof(f556,plain,(
% 0.14/0.39 $false|sQ16_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f545,f546])).
% 0.14/0.39 fof(f557,plain,(
% 0.14/0.39 sQ16_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f556])).
% 0.14/0.39 fof(f561,plain,(
% 0.14/0.39 $false|sQ22_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f322])).
% 0.14/0.39 fof(f562,plain,(
% 0.14/0.39 sQ22_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f561])).
% 0.14/0.39 fof(f563,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f545,f518])).
% 0.14/0.39 fof(f575,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f545,f78])).
% 0.14/0.39 fof(f577,plain,(
% 0.14/0.39 ~sk_c6=sk_c7|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ26_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f545,f540])).
% 0.14/0.39 fof(f578,plain,(
% 0.14/0.39 sk_c7=sk_c6|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f544,f487])).
% 0.14/0.39 fof(f581,plain,(
% 0.14/0.39 $false|sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f578,f577])).
% 0.14/0.39 fof(f582,plain,(
% 0.14/0.39 sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f581])).
% 0.14/0.39 fof(f583,plain,(
% 0.14/0.39 sk_c6=sk_c8|~sQ4_spl|~sQ5_spl|~sQ26_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f402,f536])).
% 0.14/0.39 fof(f601,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f578,f563])).
% 0.14/0.39 fof(f610,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f578,f575])).
% 0.14/0.39 fof(f621,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c5)=sk_c8|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f578,f514])).
% 0.14/0.39 fof(f622,plain,(
% 0.14/0.39 sk_c6=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ26_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f623,f583])).
% 0.14/0.39 fof(f623,plain,(
% 0.14/0.39 sk_c5=sk_c8|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f601,f621])).
% 0.14/0.39 fof(f625,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c5|~sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f622,f610])).
% 0.14/0.39 fof(f631,plain,(
% 0.14/0.39 sk_c7=sk_c5|~sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f622,f578])).
% 0.14/0.39 fof(f633,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c8|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ11_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f623,f134])).
% 0.14/0.39 fof(f634,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ11_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f623,f633])).
% 0.14/0.39 fof(f636,plain,(
% 0.14/0.39 ~sk_c5=sk_c7|~inverse(sk_c4)=sk_c5|~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f544,f634])).
% 0.14/0.39 fof(f638,definition,(
% 0.14/0.39 sQ27_spl <=> (sk_c5=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f640,plain,(
% 0.14/0.39 ~sk_c5=sk_c7|sQ27_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f638])).
% 0.14/0.39 fof(f645,definition,(
% 0.14/0.39 sQ29_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f647,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c5|sQ29_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f645])).
% 0.14/0.39 fof(f648,plain,(
% 0.14/0.39 ~sQ27_spl|~sQ29_spl|~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f636,f638,f645,f133,f85,f89,f73,f81,f77])).
% 0.14/0.39 fof(f655,plain,(
% 0.14/0.39 ~sk_c5=sk_c5|~sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ27_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f631,f640])).
% 0.14/0.39 fof(f656,plain,(
% 0.14/0.39 $false|~sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ27_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f655])).
% 0.14/0.39 fof(f657,plain,(
% 0.14/0.39 ~sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ27_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f656])).
% 0.14/0.40 fof(f662,plain,(
% 0.14/0.40 ~sk_c5=sk_c5|~sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ29_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f625,f647])).
% 0.14/0.40 fof(f663,plain,(
% 0.14/0.40 $false|~sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ29_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f662])).
% 0.14/0.40 fof(f664,plain,(
% 0.14/0.40 ~sQ26_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ29_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f663])).
% 0.14/0.40 fof(f665,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f129,f130,f131,f132,f145,f150,f158,f164,f186,f190,f200,f211,f288,f309,f313,f392,f504,f527,f553,f557,f562,f582,f648,f657,f664])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.043267 seconds
% 0.14/0.42 % CPU time: 0.121937 seconds
% 0.14/0.42 % Total memory used: 26.755 MB
% 0.14/0.42 % Net memory used: 26.713 MB
%------------------------------------------------------------------------------