%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP359-1 : 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 12:36:30 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP359-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.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 20:10:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f2,axiom,(
% 0.09/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f3,axiom,(
% 0.09/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f4,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f5,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f6,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f10,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f11,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f12,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f13,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f14,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f15,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f16,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f17,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f18,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f19,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f20,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f21,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f22,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f23,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f24,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f25,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f26,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f27,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f28,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f29,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f30,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f31,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f32,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f33,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f34,negated_conjecture,(
% 0.09/0.41 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c8) != sk_c6| multiply(sk_c8,X3) != sk_c7| multiply(X4,sk_c8) != X3| inverse(X4) != sk_c8| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f35,plain,(
% 0.09/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.41 fof(f36,plain,(
% 0.09/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.41 fof(f37,plain,(
% 0.09/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.41 fof(f38,plain,(
% 0.09/0.41 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.41 fof(f39,plain,(
% 0.09/0.41 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.41 fof(f40,plain,(
% 0.09/0.41 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.41 fof(f44,plain,(
% 0.09/0.41 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.41 fof(f45,plain,(
% 0.09/0.41 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.41 fof(f46,plain,(
% 0.09/0.41 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.41 fof(f47,plain,(
% 0.09/0.41 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.41 fof(f48,plain,(
% 0.09/0.41 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.41 fof(f49,plain,(
% 0.09/0.41 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.41 fof(f50,plain,(
% 0.09/0.41 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.41 fof(f51,plain,(
% 0.09/0.41 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.41 fof(f52,plain,(
% 0.09/0.41 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.41 fof(f53,plain,(
% 0.09/0.41 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.41 fof(f54,plain,(
% 0.09/0.41 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.41 fof(f55,plain,(
% 0.09/0.41 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.41 fof(f56,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.41 fof(f57,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.41 fof(f58,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.41 fof(f59,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c8,sk_c5)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.41 fof(f60,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c4,sk_c8)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.41 fof(f61,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.41 fof(f62,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.41 fof(f63,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.41 fof(f66,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.41 fof(f67,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 ![X5]: ((![X2]: (((![X1]: ((((![X4]: ((![X3]: (((~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6)|~multiply(sk_c8,X3)=sk_c7)|~multiply(X4,sk_c8)=X3))|~inverse(X4)=sk_c8))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.41 fof(f70,definition,(
% 0.14/0.41 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f71,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|~sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c6)=sk_c8|sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.41 fof(f73,definition,(
% 0.14/0.41 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 sQ0_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.41 fof(f77,definition,(
% 0.14/0.41 sQ2_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 multiply(sk_c3,sk_c8)=sk_c7|~sQ2_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.41 fof(f80,plain,(
% 0.14/0.41 sQ0_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/0.41 fof(f81,definition,(
% 0.14/0.41 sQ3_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 inverse(sk_c3)=sk_c8|~sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 sQ0_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/0.41 fof(f85,definition,(
% 0.14/0.41 sQ4_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c5)=sk_c7|~sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.41 fof(f89,definition,(
% 0.14/0.41 sQ5_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f90,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c8)=sk_c5|~sQ5_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.41 fof(f93,definition,(
% 0.14/0.41 sQ6_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c8|~sQ6_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.41 fof(f97,definition,(
% 0.14/0.41 sQ7_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|~sQ7_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.41 fof(f99,plain,(
% 0.14/0.41 ~inverse(sk_c8)=sk_c6|sQ7_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 sQ7_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.14/0.41 fof(f101,plain,(
% 0.14/0.41 sQ7_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.14/0.41 fof(f102,plain,(
% 0.14/0.41 sQ7_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.14/0.41 fof(f103,plain,(
% 0.14/0.41 sQ7_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.41 sQ7_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.14/0.41 fof(f105,plain,(
% 0.14/0.41 sQ7_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.14/0.41 fof(f106,definition,(
% 0.14/0.41 sQ8_spl <=> (multiply(sk_c8,sk_c2)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f107,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c2)=sk_c7|~sQ8_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.41 fof(f109,plain,(
% 0.14/0.41 sQ8_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.14/0.41 fof(f110,plain,(
% 0.14/0.41 sQ8_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.14/0.41 fof(f111,plain,(
% 0.14/0.41 sQ8_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 sQ8_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 sQ8_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 sQ8_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.14/0.41 fof(f115,definition,(
% 0.14/0.41 sQ9_spl <=> (multiply(sk_c1,sk_c8)=sk_c2)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c2|~sQ9_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.41 fof(f118,plain,(
% 0.14/0.41 sQ9_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.14/0.41 fof(f119,plain,(
% 0.14/0.41 sQ9_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.14/0.41 fof(f120,plain,(
% 0.14/0.41 sQ9_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.14/0.41 fof(f121,plain,(
% 0.14/0.41 sQ9_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 sQ9_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.14/0.41 fof(f123,plain,(
% 0.14/0.41 sQ9_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.14/0.41 fof(f124,definition,(
% 0.14/0.41 sQ10_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f125,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|~sQ10_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.41 fof(f127,plain,(
% 0.14/0.41 sQ10_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 sQ10_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.14/0.41 fof(f129,plain,(
% 0.14/0.41 sQ10_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.14/0.41 fof(f130,plain,(
% 0.14/0.41 sQ10_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.14/0.41 fof(f131,plain,(
% 0.14/0.41 sQ10_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 sQ10_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.14/0.41 fof(f133,definition,(
% 0.14/0.41 ![X0,X1]: (sQ11_spl <=> (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f134,plain,(
% 0.14/0.41 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ11_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.41 fof(f136,definition,(
% 0.14/0.41 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f137,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.41 fof(f139,plain,(
% 0.14/0.41 ~sQ0_spl|~sQ7_spl|sQ11_spl|~sQ1_spl|sQ12_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f69,f70,f97,f133,f73,f136])).
% 0.14/0.41 fof(f140,plain,(
% 0.14/0.41 ~inverse(sk_c3)=sk_c8|~sQ12_spl|~sQ2_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f137,f78])).
% 0.14/0.41 fof(f143,plain,(
% 0.14/0.41 ~sk_c2=sk_c7|~inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f116,f137])).
% 0.14/0.41 fof(f144,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f82,f140])).
% 0.14/0.41 fof(f145,plain,(
% 0.14/0.41 $false|~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f144])).
% 0.14/0.41 fof(f146,plain,(
% 0.14/0.41 ~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f145])).
% 0.14/0.41 fof(f147,plain,(
% 0.14/0.41 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.14/0.41 fof(f169,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ11_spl|~sQ5_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f90,f147])).
% 0.14/0.41 fof(f170,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c2)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f116,f147])).
% 0.14/0.41 fof(f175,plain,(
% 0.14/0.41 ~sQ4_spl|~sQ6_spl|~sQ11_spl|~sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f169,f85,f93,f133,f89])).
% 0.14/0.41 fof(f176,plain,(
% 0.14/0.41 ~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ9_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f170,f106,f124,f133,f115])).
% 0.14/0.41 fof(f180,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c1)=identity|~sQ10_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.14/0.41 fof(f181,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.41 fof(f182,plain,(
% 0.14/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f181])).
% 0.14/0.41 fof(f199,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f35,f182])).
% 0.14/0.41 fof(f203,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ2_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f78,f182])).
% 0.14/0.41 fof(f204,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c4),sk_c5)|~sQ5_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f90,f182])).
% 0.14/0.41 fof(f213,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f82,f203])).
% 0.14/0.41 fof(f214,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f94,f204])).
% 0.14/0.42 fof(f223,plain,(
% 0.14/0.42 sk_c8=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f213,f74])).
% 0.14/0.42 fof(f225,plain,(
% 0.14/0.42 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ3_spl|~sQ2_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f213,f182])).
% 0.14/0.42 fof(f228,plain,(
% 0.14/0.42 sk_c7=identity|~sQ3_spl|~sQ2_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f36,f225])).
% 0.14/0.42 fof(f229,plain,(
% 0.14/0.42 ~multiply(sk_c7,sk_c8)=sk_c8|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f223,f72])).
% 0.14/0.42 fof(f234,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ3_spl|~sQ2_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f228,f36])).
% 0.14/0.42 fof(f235,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ3_spl|~sQ2_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f228,f35])).
% 0.14/0.42 fof(f240,plain,(
% 0.14/0.42 sk_c8=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f214,f86])).
% 0.14/0.42 fof(f243,plain,(
% 0.14/0.42 ~sk_c8=sk_c8|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f235,f229])).
% 0.14/0.42 fof(f244,plain,(
% 0.14/0.42 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f243])).
% 0.14/0.42 fof(f245,plain,(
% 0.14/0.42 ~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f244])).
% 0.14/0.42 fof(f248,plain,(
% 0.14/0.42 ~inverse(sk_c8)=sk_c8|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f223,f99])).
% 0.14/0.42 fof(f255,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f240,f234])).
% 0.14/0.42 fof(f256,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c8,X0)=X0|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f240,f235])).
% 0.14/0.42 fof(f261,plain,(
% 0.14/0.42 sk_c8=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f256,f214])).
% 0.14/0.42 fof(f264,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c5,X0)=X0|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f261,f256])).
% 0.14/0.42 fof(f265,plain,(
% 0.14/0.42 ~inverse(sk_c8)=sk_c5|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f261,f248])).
% 0.14/0.42 fof(f269,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c5|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f261,f82])).
% 0.14/0.42 fof(f274,plain,(
% 0.14/0.42 ~inverse(sk_c5)=sk_c5|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f261,f265])).
% 0.14/0.42 fof(f275,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f261,f255])).
% 0.14/0.42 fof(f281,plain,(
% 0.14/0.42 multiply(sk_c5,sk_c3)=sk_c5|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f269,f275])).
% 0.14/0.42 fof(f283,plain,(
% 0.14/0.42 sk_c3=sk_c5|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f264,f281])).
% 0.14/0.42 fof(f285,plain,(
% 0.14/0.42 inverse(sk_c5)=sk_c5|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f283,f269])).
% 0.14/0.42 fof(f286,plain,(
% 0.14/0.42 $false|~sQ1_spl|sQ7_spl|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f285,f274])).
% 0.14/0.42 fof(f287,plain,(
% 0.14/0.42 ~sQ1_spl|sQ7_spl|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f286])).
% 0.14/0.42 fof(f305,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c1),sk_c2)|~sQ9_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f116,f182])).
% 0.14/0.42 fof(f307,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c8,sk_c2)|~sQ10_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f125,f305])).
% 0.14/0.42 fof(f319,plain,(
% 0.14/0.42 sk_c1=multiply(inverse(sk_c8),identity)|~sQ10_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f180,f182])).
% 0.14/0.42 fof(f321,plain,(
% 0.14/0.42 sk_c1=multiply(sk_c6,identity)|~sQ7_spl|~sQ10_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f98,f319])).
% 0.14/0.42 fof(f414,plain,(
% 0.14/0.42 multiply(sk_c6,sk_c8)=identity|~sQ7_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f98,f36])).
% 0.14/0.42 fof(f433,plain,(
% 0.14/0.42 sk_c2=multiply(inverse(sk_c8),sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f307,f182])).
% 0.14/0.42 fof(f435,plain,(
% 0.14/0.42 sk_c2=identity|~sQ10_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f36,f433])).
% 0.14/0.42 fof(f438,plain,(
% 0.14/0.42 sk_c1=multiply(sk_c6,sk_c2)|~sQ9_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f435,f321])).
% 0.14/0.42 fof(f439,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ10_spl|~sQ9_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f435,f36])).
% 0.14/0.42 fof(f440,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(inverse(sk_c2),X0)|~sQ10_spl|~sQ9_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f435,f199])).
% 0.14/0.42 fof(f441,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ9_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f435,f35])).
% 0.14/0.42 fof(f444,plain,(
% 0.14/0.42 ~multiply(sk_c8,sk_c8)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f446,f75])).
% 0.14/0.42 fof(f445,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c6)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f446,f71])).
% 0.14/0.42 fof(f446,plain,(
% 0.14/0.42 sk_c8=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f307,f107])).
% 0.14/0.42 fof(f459,plain,(
% 0.14/0.42 multiply(sk_c6,sk_c8)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f435,f414])).
% 0.14/0.42 fof(f477,plain,(
% 0.14/0.42 sk_c6=multiply(inverse(sk_c8),sk_c8)|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f445,f182])).
% 0.14/0.42 fof(f479,plain,(
% 0.14/0.42 sk_c6=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f439,f477])).
% 0.14/0.42 fof(f482,plain,(
% 0.14/0.42 ~multiply(sk_c8,sk_c8)=sk_c2|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f479,f444])).
% 0.14/0.42 fof(f483,plain,(
% 0.14/0.42 sk_c1=multiply(sk_c2,sk_c2)|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f479,f438])).
% 0.14/0.42 fof(f484,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c8)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f479,f459])).
% 0.14/0.42 fof(f486,plain,(
% 0.14/0.42 sk_c1=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ7_spl|~sQ10_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f441,f483])).
% 0.14/0.42 fof(f487,plain,(
% 0.14/0.42 sk_c8=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f441,f484])).
% 0.14/0.42 fof(f489,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(inverse(sk_c1),X0)|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f486,f440])).
% 0.14/0.42 fof(f496,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c8,X0)|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f125,f489])).
% 0.14/0.42 fof(f499,plain,(
% 0.14/0.42 sk_c1=sk_c7|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f504,f446])).
% 0.14/0.42 fof(f504,plain,(
% 0.14/0.42 sk_c8=sk_c1|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f486,f487])).
% 0.14/0.42 fof(f507,plain,(
% 0.14/0.42 ~multiply(sk_c1,sk_c8)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f504,f482])).
% 0.14/0.42 fof(f508,plain,(
% 0.14/0.42 ~multiply(sk_c1,sk_c1)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f504,f507])).
% 0.14/0.42 fof(f509,plain,(
% 0.14/0.42 ~multiply(sk_c1,sk_c1)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f486,f508])).
% 0.14/0.42 fof(f513,plain,(
% 0.14/0.42 ~sk_c1=sk_c1|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f514,f509])).
% 0.14/0.42 fof(f514,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c1,X0)|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f504,f496])).
% 0.14/0.42 fof(f517,plain,(
% 0.14/0.42 $false|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f513])).
% 0.14/0.42 fof(f518,plain,(
% 0.14/0.42 ~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f517])).
% 0.14/0.42 fof(f539,definition,(
% 0.14/0.42 sQ15_spl <=> (sk_c2=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f541,plain,(
% 0.14/0.42 ~sk_c2=sk_c7|sQ15_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f539])).
% 0.14/0.42 fof(f542,plain,(
% 0.14/0.42 ~sQ15_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f143,f539,f124,f136,f115])).
% 0.14/0.42 fof(f543,plain,(
% 0.14/0.42 ~sk_c1=sk_c7|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ7_spl|~sQ10_spl|sQ15_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f486,f541])).
% 0.14/0.42 fof(f544,plain,(
% 0.14/0.42 ~sk_c1=sk_c1|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ7_spl|~sQ10_spl|sQ15_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f499,f543])).
% 0.14/0.42 fof(f545,plain,(
% 0.14/0.42 $false|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ7_spl|~sQ10_spl|sQ15_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f544])).
% 0.14/0.42 fof(f546,plain,(
% 0.14/0.42 ~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ7_spl|~sQ10_spl|sQ15_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f545])).
% 0.14/0.42 fof(f547,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(sat_refutation,[status(thm)],[f76,f80,f84,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f139,f146,f175,f176,f245,f287,f518,f542,f546])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.46 % Elapsed time: 0.088986 seconds
% 0.14/0.46 % CPU time: 0.257042 seconds
% 0.14/0.46 % Total memory used: 103.701 MB
% 0.14/0.46 % Net memory used: 103.483 MB
%------------------------------------------------------------------------------