%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP368-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:31 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP368-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.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 20:14:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c5,sk_c7) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f6,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f10,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c6) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f17,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f18,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f19,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f20,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f21,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f22,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f23,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f24,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f25,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c5) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f26,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c5) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f27,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c5) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f28,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c5) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f29,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f30,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c5| inverse(sk_c6) = sk_c5 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f31,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c5| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f32,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c5| inverse(sk_c4) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f33,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c5| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f34,negated_conjecture,(
% 0.12/0.40 (![X2,X3,X4,X1]: (( multiply(sk_c5,sk_c7) != sk_c6| multiply(sk_c7,X2) != sk_c6| multiply(X3,sk_c7) != X2| inverse(X3) != sk_c7| multiply(X4,sk_c5) != sk_c7| inverse(X4) != sk_c5| multiply(sk_c6,sk_c7) != sk_c5| inverse(sk_c6) != sk_c5| multiply(sk_c7,sk_c5) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7 ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f35,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f36,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f37,plain,(
% 0.12/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f38,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f39,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f40,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.40 fof(f43,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f44,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.40 fof(f45,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f46,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f47,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.40 fof(f48,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f49,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c6)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f50,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c7,sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f51,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.40 fof(f52,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c4,sk_c6)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.40 fof(f53,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.40 fof(f54,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.40 fof(f55,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.40 fof(f56,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.40 fof(f57,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.40 fof(f58,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c5)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.40 fof(f60,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c5)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.40 fof(f62,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.40 fof(f63,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.40 fof(f64,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c5|inverse(sk_c6)=sk_c5),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.40 fof(f65,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c5|multiply(sk_c7,sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.40 fof(f66,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c5|inverse(sk_c4)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.40 fof(f67,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c5|multiply(sk_c4,sk_c6)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.40 fof(f68,plain,(
% 0.12/0.40 ![X1]: ((((((![X4]: (((![X3]: ((![X2]: ((~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c7,X2)=sk_c6)|~multiply(X3,sk_c7)=X2))|~inverse(X3)=sk_c7))|~multiply(X4,sk_c5)=sk_c7)|~inverse(X4)=sk_c5))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(sk_c6)=sk_c5)|~multiply(sk_c7,sk_c5)=sk_c6)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.12/0.40 fof(f69,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~multiply(X2,sk_c5)=sk_c7|~inverse(X2)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(sk_c6)=sk_c5|~multiply(sk_c7,sk_c5)=sk_c6|~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.40 fof(f70,definition,(
% 0.12/0.40 sQ0_spl <=> (multiply(sk_c5,sk_c7)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f71,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c7)=sk_c6|~sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.40 fof(f72,plain,(
% 0.12/0.40 ~multiply(sk_c5,sk_c7)=sk_c6|sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.40 fof(f73,definition,(
% 0.12/0.40 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f74,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.40 fof(f75,plain,(
% 0.12/0.40 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.40 fof(f76,plain,(
% 0.12/0.40 sQ0_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.12/0.40 fof(f77,definition,(
% 0.12/0.40 sQ2_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f78,plain,(
% 0.12/0.40 inverse(sk_c6)=sk_c5|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.40 fof(f79,plain,(
% 0.12/0.40 ~inverse(sk_c6)=sk_c5|sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.40 fof(f80,plain,(
% 0.12/0.40 sQ0_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.12/0.40 fof(f81,definition,(
% 0.12/0.40 sQ3_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f82,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c5)=sk_c6|~sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.40 fof(f83,plain,(
% 0.12/0.40 ~multiply(sk_c7,sk_c5)=sk_c6|sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.40 fof(f84,plain,(
% 0.12/0.40 sQ0_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.12/0.40 fof(f85,definition,(
% 0.12/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f86,plain,(
% 0.12/0.40 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.40 fof(f89,definition,(
% 0.12/0.40 sQ5_spl <=> (multiply(sk_c4,sk_c6)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f90,plain,(
% 0.12/0.40 multiply(sk_c4,sk_c6)=sk_c7|~sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.12/0.40 fof(f93,definition,(
% 0.12/0.40 sQ6_spl <=> (multiply(sk_c7,sk_c2)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f94,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c2)=sk_c6|~sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.40 fof(f96,plain,(
% 0.12/0.40 sQ6_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.12/0.40 fof(f97,plain,(
% 0.12/0.40 sQ6_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.12/0.40 fof(f98,plain,(
% 0.12/0.40 sQ6_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.12/0.40 fof(f99,plain,(
% 0.12/0.40 sQ6_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.12/0.40 fof(f100,plain,(
% 0.12/0.40 sQ6_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.12/0.40 fof(f101,definition,(
% 0.12/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c2)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f102,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c7)=sk_c2|~sQ7_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.40 fof(f104,plain,(
% 0.12/0.40 sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.12/0.40 fof(f105,plain,(
% 0.12/0.40 sQ7_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.12/0.40 fof(f106,plain,(
% 0.12/0.40 sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.12/0.40 fof(f107,plain,(
% 0.12/0.40 sQ7_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.12/0.40 fof(f108,plain,(
% 0.12/0.40 sQ7_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.12/0.40 fof(f109,definition,(
% 0.12/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f110,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.40 fof(f112,plain,(
% 0.12/0.40 sQ8_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.12/0.40 fof(f113,plain,(
% 0.12/0.40 sQ8_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.12/0.40 fof(f114,plain,(
% 0.12/0.40 sQ8_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.12/0.40 fof(f115,plain,(
% 0.12/0.40 sQ8_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.12/0.40 fof(f116,plain,(
% 0.12/0.40 sQ8_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.12/0.40 fof(f117,definition,(
% 0.12/0.40 sQ9_spl <=> (multiply(sk_c3,sk_c5)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f118,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c5)=sk_c7|~sQ9_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 sQ9_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.12/0.40 fof(f121,plain,(
% 0.12/0.40 sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 sQ9_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.12/0.40 fof(f123,plain,(
% 0.12/0.40 sQ9_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.12/0.40 fof(f124,plain,(
% 0.12/0.40 sQ9_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.12/0.40 fof(f125,definition,(
% 0.12/0.40 sQ10_spl <=> (inverse(sk_c3)=sk_c5)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f126,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c5|~sQ10_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.40 fof(f128,plain,(
% 0.12/0.40 sQ10_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.12/0.40 fof(f129,plain,(
% 0.12/0.40 sQ10_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.12/0.40 fof(f130,plain,(
% 0.12/0.40 sQ10_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.12/0.40 fof(f131,plain,(
% 0.12/0.40 sQ10_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.12/0.40 fof(f132,plain,(
% 0.12/0.40 sQ10_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.12/0.40 fof(f133,definition,(
% 0.12/0.40 ![X0,X1]: (sQ11_spl <=> (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ11_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.40 fof(f136,definition,(
% 0.12/0.40 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c5)=sk_c7|~inverse(X2)=sk_c5))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f137,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~sQ12_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.40 fof(f139,definition,(
% 0.12/0.40 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f140,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ13_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.12/0.40 fof(f142,plain,(
% 0.12/0.40 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ13_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f77,f81,f139])).
% 0.12/0.40 fof(f143,plain,(
% 0.12/0.40 ~inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ5_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f140,f90])).
% 0.12/0.40 fof(f145,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f86,f143])).
% 0.12/0.40 fof(f146,plain,(
% 0.12/0.40 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f145])).
% 0.12/0.40 fof(f147,plain,(
% 0.12/0.40 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f146])).
% 0.12/0.40 fof(f148,plain,(
% 0.12/0.40 ~inverse(sk_c3)=sk_c5|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f137,f118])).
% 0.12/0.40 fof(f150,plain,(
% 0.12/0.40 ~sk_c5=sk_c5|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f126,f148])).
% 0.12/0.40 fof(f151,plain,(
% 0.12/0.40 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f150])).
% 0.12/0.40 fof(f152,plain,(
% 0.12/0.40 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f151])).
% 0.12/0.40 fof(f153,plain,(
% 0.12/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.12/0.40 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.12/0.40 fof(f155,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c7,X0))|~sQ0_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.12/0.40 fof(f168,plain,(
% 0.12/0.40 ~multiply(sk_c7,sk_c2)=sk_c6|~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f102,f153])).
% 0.12/0.40 fof(f176,plain,(
% 0.12/0.40 ~sQ6_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f168,f93,f109,f133,f101])).
% 0.12/0.40 fof(f178,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c5,X0))|~sQ3_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.12/0.40 fof(f180,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c6)=identity|~sQ2_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.12/0.40 fof(f181,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c1)=identity|~sQ8_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f110,f36])).
% 0.12/0.40 fof(f182,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c3)=identity|~sQ10_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.12/0.40 fof(f183,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.12/0.40 fof(f184,plain,(
% 0.12/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f35,f183])).
% 0.12/0.40 fof(f206,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c1),sk_c2)|~sQ7_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f102,f184])).
% 0.12/0.40 fof(f207,plain,(
% 0.12/0.40 sk_c5=multiply(inverse(sk_c3),sk_c7)|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f118,f184])).
% 0.12/0.40 fof(f210,plain,(
% 0.12/0.40 sk_c7=multiply(sk_c7,sk_c2)|~sQ8_spl|~sQ7_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f110,f206])).
% 0.12/0.40 fof(f211,plain,(
% 0.12/0.40 sk_c7=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f94,f210])).
% 0.12/0.40 fof(f212,plain,(
% 0.12/0.40 sk_c5=multiply(sk_c5,sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f126,f207])).
% 0.12/0.40 fof(f213,plain,(
% 0.12/0.40 sk_c5=sk_c6|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f71,f212])).
% 0.12/0.40 fof(f215,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c1)=identity|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f211,f181])).
% 0.12/0.40 fof(f216,plain,(
% 0.12/0.40 ~multiply(sk_c6,sk_c6)=sk_c5|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f211,f75])).
% 0.12/0.40 fof(f219,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c5)=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ3_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f211,f82])).
% 0.12/0.40 fof(f221,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c6)=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f211,f71])).
% 0.12/0.40 fof(f223,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c2)=sk_c6|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f211,f94])).
% 0.12/0.40 fof(f227,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c6|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f211,f110])).
% 0.12/0.40 fof(f228,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c3)=identity|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f213,f182])).
% 0.12/0.40 fof(f231,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c6|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f213,f126])).
% 0.12/0.40 fof(f235,plain,(
% 0.12/0.40 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f213,f216])).
% 0.12/0.40 fof(f236,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f213,f219])).
% 0.12/0.40 fof(f237,plain,(
% 0.12/0.40 $false|sQ1_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f236,f235])).
% 0.12/0.40 fof(f238,plain,(
% 0.12/0.40 sQ1_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f237])).
% 0.12/0.40 fof(f241,plain,(
% 0.12/0.40 ~multiply(sk_c6,sk_c5)=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f211,f83])).
% 0.12/0.40 fof(f242,plain,(
% 0.12/0.40 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f213,f241])).
% 0.12/0.40 fof(f243,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f213,f221])).
% 0.12/0.40 fof(f244,plain,(
% 0.12/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f243,f184])).
% 0.12/0.40 fof(f246,plain,(
% 0.12/0.40 sk_c6=identity|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f36,f244])).
% 0.12/0.40 fof(f248,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f246,f35])).
% 0.12/0.40 fof(f251,plain,(
% 0.12/0.40 ~inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f213,f79])).
% 0.12/0.40 fof(f256,plain,(
% 0.12/0.40 ~inverse(sk_c6)=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f264,f251])).
% 0.12/0.40 fof(f257,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f264,f248])).
% 0.12/0.40 fof(f258,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f264,f231])).
% 0.12/0.40 fof(f259,plain,(
% 0.12/0.40 sk_c2=identity|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f264,f246])).
% 0.12/0.40 fof(f260,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f264,f227])).
% 0.12/0.40 fof(f263,plain,(
% 0.12/0.40 sk_c7=sk_c2|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f264,f211])).
% 0.12/0.40 fof(f264,plain,(
% 0.12/0.40 sk_c2=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f248,f223])).
% 0.12/0.40 fof(f265,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f264,f256])).
% 0.12/0.40 fof(f268,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c3,X0))|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f258,f184])).
% 0.12/0.40 fof(f269,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f257,f268])).
% 0.12/0.40 fof(f270,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c1,X0))|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f260,f184])).
% 0.12/0.40 fof(f271,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c1,X0)|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f257,f270])).
% 0.12/0.40 fof(f286,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c1)=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f264,f215])).
% 0.12/0.40 fof(f287,plain,(
% 0.12/0.40 sk_c2=sk_c1|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f288,f259])).
% 0.12/0.40 fof(f288,plain,(
% 0.12/0.40 sk_c1=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f257,f286])).
% 0.12/0.40 fof(f291,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f287,f260])).
% 0.12/0.40 fof(f292,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c1|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f287,f258])).
% 0.12/0.40 fof(f294,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c1|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f287,f265])).
% 0.12/0.40 fof(f295,plain,(
% 0.12/0.40 sk_c7=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f287,f263])).
% 0.12/0.40 fof(f297,plain,(
% 0.12/0.40 sk_c1=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f287,f264])).
% 0.12/0.40 fof(f298,plain,(
% 0.12/0.40 ~inverse(sk_c1)=sk_c1|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f287,f294])).
% 0.12/0.40 fof(f303,plain,(
% 0.12/0.40 ~sk_c1=sk_c1|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f291,f298])).
% 0.12/0.40 fof(f304,plain,(
% 0.12/0.40 $false|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f303])).
% 0.12/0.40 fof(f305,plain,(
% 0.12/0.40 ~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f304])).
% 0.12/0.40 fof(f321,plain,(
% 0.12/0.40 ~multiply(sk_c1,sk_c6)=sk_c6|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f297,f242])).
% 0.12/0.40 fof(f322,plain,(
% 0.12/0.40 ~sk_c6=sk_c6|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f271,f321])).
% 0.12/0.40 fof(f323,plain,(
% 0.12/0.40 ~sk_c1=sk_c6|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f297,f322])).
% 0.12/0.40 fof(f324,plain,(
% 0.12/0.40 ~sk_c1=sk_c1|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f297,f323])).
% 0.12/0.40 fof(f325,plain,(
% 0.12/0.40 $false|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f324])).
% 0.12/0.40 fof(f326,plain,(
% 0.12/0.40 ~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f325])).
% 0.12/0.40 fof(f344,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c6)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f295,f140])).
% 0.12/0.40 fof(f345,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f297,f344])).
% 0.12/0.40 fof(f346,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f295,f345])).
% 0.12/0.40 fof(f347,definition,(
% 0.12/0.40 sQ16_spl <=> (sk_c7=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f349,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|sQ16_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f347])).
% 0.12/0.40 fof(f361,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c3)=identity|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f297,f228])).
% 0.12/0.40 fof(f362,plain,(
% 0.12/0.40 sk_c1=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f363,f288])).
% 0.12/0.40 fof(f363,plain,(
% 0.12/0.40 sk_c3=identity|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f271,f361])).
% 0.12/0.40 fof(f364,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c3|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f362,f292])).
% 0.12/0.40 fof(f378,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c1)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f362,f346])).
% 0.12/0.40 fof(f379,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f362,f378])).
% 0.12/0.40 fof(f380,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f362,f379])).
% 0.12/0.41 fof(f383,plain,(
% 0.12/0.41 ~inverse(sk_c3)=sk_c3|~sQ13_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f380,f269])).
% 0.12/0.41 fof(f391,definition,(
% 0.12/0.41 sQ18_spl <=> (sk_c3=sk_c3)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f393,plain,(
% 0.12/0.41 ~sk_c3=sk_c3|sQ18_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f391])).
% 0.12/0.41 fof(f403,plain,(
% 0.12/0.41 $false|sQ18_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f393])).
% 0.12/0.41 fof(f404,plain,(
% 0.12/0.41 sQ18_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f403])).
% 0.12/0.41 fof(f415,plain,(
% 0.12/0.41 ~sk_c3=sk_c3|~sQ13_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f364,f383])).
% 0.12/0.41 fof(f416,plain,(
% 0.12/0.41 $false|~sQ13_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f415])).
% 0.12/0.41 fof(f417,plain,(
% 0.12/0.41 ~sQ13_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f416])).
% 0.12/0.41 fof(f421,plain,(
% 0.12/0.41 sk_c7=multiply(inverse(sk_c6),sk_c5)|~sQ1_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f74,f184])).
% 0.12/0.41 fof(f422,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.12/0.41 fof(f423,plain,(
% 0.12/0.41 sk_c7=multiply(sk_c5,sk_c5)|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f78,f421])).
% 0.12/0.41 fof(f443,plain,(
% 0.12/0.41 sk_c6=multiply(inverse(sk_c4),sk_c7)|~sQ5_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f90,f184])).
% 0.12/0.41 fof(f445,plain,(
% 0.12/0.41 sk_c6=multiply(sk_c7,sk_c7)|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f86,f443])).
% 0.12/0.41 fof(f466,plain,(
% 0.12/0.41 ~multiply(sk_c7,sk_c5)=sk_c6|~inverse(sk_c6)=sk_c7|~sQ11_spl|~sQ1_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f74,f153])).
% 0.12/0.41 fof(f482,definition,(
% 0.12/0.41 sQ24_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f484,plain,(
% 0.12/0.41 ~inverse(sk_c6)=sk_c7|sQ24_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f482])).
% 0.12/0.41 fof(f485,plain,(
% 0.12/0.41 ~sQ3_spl|~sQ24_spl|~sQ11_spl|~sQ1_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f466,f81,f482,f133,f73])).
% 0.12/0.41 fof(f614,definition,(
% 0.12/0.41 sQ28_spl <=> (sk_c1=sk_c1)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f616,plain,(
% 0.12/0.41 ~sk_c1=sk_c1|sQ28_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f614])).
% 0.12/0.41 fof(f621,plain,(
% 0.12/0.41 $false|sQ28_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f616])).
% 0.12/0.41 fof(f622,plain,(
% 0.12/0.41 sQ28_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f621])).
% 0.12/0.41 fof(f635,plain,(
% 0.12/0.41 $false|sQ16_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f349])).
% 0.12/0.41 fof(f636,plain,(
% 0.12/0.41 sQ16_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f635])).
% 0.12/0.41 fof(f639,plain,(
% 0.12/0.41 ~sk_c5=sk_c7|~sQ2_spl|sQ24_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f78,f484])).
% 0.12/0.41 fof(f677,plain,(
% 0.12/0.41 ~inverse(sk_c5)=sk_c5|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f137,f423])).
% 0.12/0.41 fof(f719,plain,(
% 0.12/0.41 multiply(sk_c6,sk_c7)=multiply(sk_c7,sk_c6)|~sQ3_spl|~sQ0_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f71,f178])).
% 0.12/0.41 fof(f722,plain,(
% 0.12/0.41 sk_c5=multiply(sk_c7,sk_c6)|~sQ1_spl|~sQ3_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f74,f719])).
% 0.12/0.41 fof(f737,plain,(
% 0.12/0.41 multiply(sk_c6,sk_c7)=multiply(sk_c5,sk_c6)|~sQ0_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f445,f155])).
% 0.12/0.41 fof(f740,plain,(
% 0.12/0.41 sk_c5=multiply(sk_c5,sk_c6)|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f74,f737])).
% 0.12/0.41 fof(f741,plain,(
% 0.12/0.41 multiply(sk_c6,sk_c6)=multiply(sk_c5,sk_c5)|~sQ1_spl|~sQ3_spl|~sQ0_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f722,f155])).
% 0.12/0.41 fof(f744,plain,(
% 0.12/0.41 multiply(sk_c6,sk_c6)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f423,f741])).
% 0.12/0.41 fof(f755,plain,(
% 0.12/0.41 sk_c5=identity|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f740,f180])).
% 0.12/0.41 fof(f757,plain,(
% 0.12/0.41 sk_c6=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f740,f184])).
% 0.12/0.41 fof(f760,plain,(
% 0.12/0.41 sk_c6=identity|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f36,f757])).
% 0.12/0.41 fof(f767,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f755,f35])).
% 0.12/0.41 fof(f768,plain,(
% 0.12/0.41 sk_c5=sk_c6|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f760,f755])).
% 0.12/0.41 fof(f772,plain,(
% 0.12/0.41 ~inverse(sk_c5)=sk_c6|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f768,f677])).
% 0.12/0.41 fof(f781,plain,(
% 0.12/0.41 inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f768,f78])).
% 0.12/0.41 fof(f783,plain,(
% 0.12/0.41 ~inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f768,f772])).
% 0.12/0.41 fof(f792,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f768,f767])).
% 0.12/0.41 fof(f795,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f781,f783])).
% 0.12/0.41 fof(f796,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f795])).
% 0.12/0.41 fof(f798,plain,(
% 0.12/0.41 ~sk_c6=sk_c7|~sQ1_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|sQ24_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f768,f639])).
% 0.12/0.41 fof(f805,plain,(
% 0.12/0.41 sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f792,f744])).
% 0.12/0.41 fof(f806,plain,(
% 0.12/0.41 $false|sQ24_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f805,f798])).
% 0.12/0.41 fof(f807,plain,(
% 0.12/0.41 sQ24_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ0_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f806])).
% 0.12/0.41 fof(f849,plain,(
% 0.12/0.41 multiply(sk_c5,sk_c5)=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ3_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f82,f422])).
% 0.12/0.41 fof(f855,plain,(
% 0.12/0.41 sk_c7=multiply(sk_c6,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f423,f849])).
% 0.12/0.41 fof(f866,plain,(
% 0.12/0.41 sk_c6=multiply(inverse(sk_c6),sk_c7)|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f855,f184])).
% 0.12/0.41 fof(f869,plain,(
% 0.12/0.41 sk_c6=multiply(sk_c5,sk_c7)|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f78,f866])).
% 0.12/0.41 fof(f870,plain,(
% 0.12/0.41 $false|sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f869,f72])).
% 0.12/0.41 fof(f871,plain,(
% 0.12/0.41 sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f870])).
% 0.12/0.41 fof(f872,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f76,f80,f84,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f142,f147,f152,f176,f238,f305,f326,f404,f417,f485,f622,f636,f796,f807,f871])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.066517 seconds
% 0.12/0.43 % CPU time: 0.217944 seconds
% 0.12/0.43 % Total memory used: 104.743 MB
% 0.12/0.43 % Net memory used: 104.508 MB
%------------------------------------------------------------------------------