%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP381-1 : 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 : n014.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 12:36:32 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP381-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % 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 20:10:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,axiom,(
% 0.10/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f3,axiom,(
% 0.10/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f6,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f7,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f8,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f9,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f10,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f11,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f12,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f13,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f15,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f16,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f17,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f18,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f20,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f21,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f22,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f23,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f24,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f25,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f26,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f27,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f28,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f29,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f30,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f31,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f32,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f33,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f34,negated_conjecture,(
% 0.10/0.39 (![X3,X4,X1,X2]: (( inverse(sk_c7) != sk_c6| multiply(sk_c6,sk_c5) != sk_c7| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c7| inverse(X4) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f35,plain,(
% 0.10/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f36,plain,(
% 0.10/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f37,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.39 fof(f38,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f39,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f40,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.39 fof(f41,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f42,plain,(
% 0.14/0.39 inverse(sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.39 fof(f59,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.39 fof(f63,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.39 fof(f64,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ![X2]: (((![X1]: ((((![X4]: (((![X3]: (((~inverse(sk_c7)=sk_c6|~multiply(sk_c6,sk_c5)=sk_c7)|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c7)|~inverse(X4)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.39 fof(f69,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~inverse(sk_c7)=sk_c6|~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.39 fof(f70,definition,(
% 0.14/0.39 sQ0_spl <=> (inverse(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 inverse(sk_c7)=sk_c6|~sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 ~inverse(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_c6,sk_c7)=sk_c5)),
% 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_c6,sk_c7)=sk_c5|~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_c6,sk_c7)=sk_c5|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_c3)=sk_c7)),
% 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_c3)=sk_c7|~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_c3,sk_c6)=sk_c7)),
% 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_c3,sk_c6)=sk_c7|~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_c4)=sk_c6)),
% 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_c4)=sk_c6|~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_c4,sk_c5)=sk_c6)),
% 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_c4,sk_c5)=sk_c6|~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_c6,sk_c5)=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_c6,sk_c5)=sk_c7|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.39 fof(f95,plain,(
% 0.14/0.39 ~multiply(sk_c6,sk_c5)=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 <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 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 multiply(sk_c1,sk_c7)=sk_c6|~sQ7_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f101])).
% 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 <=> (inverse(sk_c1)=sk_c7)),
% 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 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f109])).
% 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 <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 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 multiply(sk_c2,sk_c6)=sk_c7|~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 <=> (inverse(sk_c2)=sk_c6)),
% 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 inverse(sk_c2)=sk_c6|~sQ10_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.39 fof(f128,plain,(
% 0.14/0.39 sQ10_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 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_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 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_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.39 fof(f136,definition,(
% 0.14/0.39 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6))),
% 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]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.39 fof(f139,definition,(
% 0.14/0.39 ![X2]: (sQ13_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 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_c7|~multiply(X0,sk_c6)=sk_c7|~sQ13_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.14/0.39 fof(f142,definition,(
% 0.14/0.39 ![X3]: (sQ14_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 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_c6|~multiply(X0,sk_c5)=sk_c6|~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|~sQ6_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f69,f70,f93,f133,f136,f73,f139,f142])).
% 0.14/0.39 fof(f146,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c6|~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_c6=sk_c6|~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(f151,plain,(
% 0.14/0.39 ~inverse(sk_c2)=sk_c7|~sQ13_spl|~sQ9_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f140,f118])).
% 0.14/0.39 fof(f152,plain,(
% 0.14/0.39 ~inverse(sk_c3)=sk_c7|~sQ13_spl|~sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f140,f82])).
% 0.14/0.39 fof(f155,plain,(
% 0.14/0.39 ~sk_c6=sk_c7|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f126,f151])).
% 0.14/0.39 fof(f156,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~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 ~inverse(sk_c2)=sk_c6|~sQ12_spl|~sQ9_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f137,f118])).
% 0.14/0.39 fof(f162,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~inverse(sk_c3)=sk_c6|~sQ12_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f82,f137])).
% 0.14/0.39 fof(f163,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f126,f159])).
% 0.14/0.39 fof(f164,plain,(
% 0.14/0.39 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f163])).
% 0.14/0.39 fof(f165,plain,(
% 0.14/0.39 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f164])).
% 0.14/0.39 fof(f174,plain,(
% 0.14/0.39 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f134,f102])).
% 0.14/0.39 fof(f177,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f110,f174])).
% 0.14/0.39 fof(f178,plain,(
% 0.14/0.39 $false|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f177])).
% 0.14/0.39 fof(f179,plain,(
% 0.14/0.39 ~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f178])).
% 0.14/0.39 fof(f183,definition,(
% 0.14/0.39 sQ16_spl <=> (sk_c7=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f185,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|sQ16_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f183])).
% 0.14/0.39 fof(f188,plain,(
% 0.14/0.39 $false|sQ16_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f185])).
% 0.14/0.39 fof(f189,plain,(
% 0.14/0.39 sQ16_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f188])).
% 0.14/0.39 fof(f192,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c7)=identity|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.14/0.39 fof(f194,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c2)=identity|~sQ10_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.14/0.39 fof(f195,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(f196,plain,(
% 0.14/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f35,f195])).
% 0.14/0.39 fof(f199,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ0_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f200,f35])).
% 0.14/0.39 fof(f200,plain,(
% 0.14/0.39 sk_c5=identity|~sQ1_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f74,f192])).
% 0.14/0.39 fof(f205,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c2)=sk_c5|~sQ1_spl|~sQ0_spl|~sQ10_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f200,f194])).
% 0.14/0.39 fof(f222,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c6),sk_c5)|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f74,f196])).
% 0.14/0.39 fof(f225,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ9_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f118,f196])).
% 0.14/0.39 fof(f231,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c6,sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f126,f225])).
% 0.14/0.39 fof(f232,plain,(
% 0.14/0.39 sk_c6=sk_c5|~sQ1_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f74,f231])).
% 0.14/0.39 fof(f234,plain,(
% 0.14/0.39 multiply(sk_c5,sk_c2)=sk_c5|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ10_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f232,f205])).
% 0.14/0.39 fof(f235,plain,(
% 0.14/0.39 multiply(sk_c5,sk_c7)=sk_c5|~sQ10_spl|~sQ9_spl|~sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f232,f74])).
% 0.14/0.39 fof(f236,plain,(
% 0.14/0.39 ~sk_c5=sk_c7|~sQ1_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f232,f155])).
% 0.14/0.39 fof(f245,plain,(
% 0.14/0.39 sk_c2=sk_c5|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ10_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f199,f234])).
% 0.14/0.39 fof(f246,plain,(
% 0.14/0.39 sk_c7=sk_c5|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f199,f235])).
% 0.14/0.39 fof(f255,plain,(
% 0.14/0.39 sk_c7=sk_c2|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f245,f246])).
% 0.14/0.39 fof(f256,plain,(
% 0.14/0.39 ~sk_c2=sk_c7|~sQ0_spl|~sQ1_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f245,f236])).
% 0.14/0.39 fof(f257,plain,(
% 0.14/0.39 ~sk_c2=sk_c2|~sQ0_spl|~sQ1_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f255,f256])).
% 0.14/0.39 fof(f258,plain,(
% 0.14/0.39 $false|~sQ0_spl|~sQ1_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f257])).
% 0.14/0.39 fof(f259,plain,(
% 0.14/0.39 ~sQ0_spl|~sQ1_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f258])).
% 0.14/0.39 fof(f284,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c2)=sk_c6|~sQ9_spl|~sQ0_spl|~sQ10_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f285,f194])).
% 0.14/0.39 fof(f285,plain,(
% 0.14/0.39 sk_c6=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f231,f192])).
% 0.14/0.39 fof(f286,plain,(
% 0.14/0.39 ~sk_c6=sk_c5|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f231,f75])).
% 0.14/0.39 fof(f308,plain,(
% 0.14/0.39 sk_c2=sk_c6|~sQ9_spl|~sQ0_spl|~sQ10_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f313,f284])).
% 0.14/0.39 fof(f310,plain,(
% 0.14/0.39 sk_c6=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f313,f231])).
% 0.14/0.39 fof(f311,plain,(
% 0.14/0.39 sk_c5=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f313,f94])).
% 0.14/0.39 fof(f313,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f285,f35])).
% 0.14/0.39 fof(f318,plain,(
% 0.14/0.39 ~sk_c2=sk_c5|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f308,f286])).
% 0.14/0.39 fof(f319,plain,(
% 0.14/0.39 sk_c2=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f308,f285])).
% 0.14/0.39 fof(f324,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ0_spl|~sQ10_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f308,f126])).
% 0.14/0.39 fof(f329,plain,(
% 0.14/0.39 sk_c2=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f308,f310])).
% 0.14/0.39 fof(f330,plain,(
% 0.14/0.39 sk_c5=sk_c2|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f329,f311])).
% 0.14/0.39 fof(f331,plain,(
% 0.14/0.39 ~sk_c2=sk_c2|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f330,f318])).
% 0.14/0.39 fof(f332,plain,(
% 0.14/0.39 $false|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f331])).
% 0.14/0.39 fof(f333,plain,(
% 0.14/0.39 ~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f332])).
% 0.14/0.39 fof(f365,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c5)=sk_c6|~sQ9_spl|~sQ0_spl|~sQ10_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f308,f143])).
% 0.14/0.39 fof(f366,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c6|~sQ6_spl|~sQ9_spl|~sQ0_spl|~sQ10_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f330,f365])).
% 0.14/0.39 fof(f367,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c2|~sQ6_spl|~sQ9_spl|~sQ0_spl|~sQ10_spl|~sQ14_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f308,f366])).
% 0.14/0.39 fof(f368,definition,(
% 0.14/0.39 sQ17_spl <=> (sk_c6=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f370,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|sQ17_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f368])).
% 0.14/0.39 fof(f379,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f319,f36])).
% 0.14/0.39 fof(f405,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c2))=sk_c2|~sQ6_spl|~sQ14_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f367,f379])).
% 0.14/0.39 fof(f412,plain,(
% 0.14/0.39 ~inverse(sk_c2)=sk_c2|~sQ6_spl|~sQ14_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f324,f405])).
% 0.14/0.39 fof(f413,plain,(
% 0.14/0.39 ~sk_c2=sk_c2|~sQ6_spl|~sQ14_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f324,f412])).
% 0.14/0.39 fof(f414,plain,(
% 0.14/0.39 $false|~sQ6_spl|~sQ14_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f413])).
% 0.14/0.39 fof(f415,plain,(
% 0.14/0.39 ~sQ6_spl|~sQ14_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f414])).
% 0.14/0.39 fof(f417,plain,(
% 0.14/0.39 $false|sQ17_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f370])).
% 0.14/0.39 fof(f418,plain,(
% 0.14/0.39 sQ17_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f417])).
% 0.14/0.39 fof(f423,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ0_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f200,f35])).
% 0.14/0.39 fof(f426,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f82,f196])).
% 0.14/0.39 fof(f428,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f78,f426])).
% 0.14/0.39 fof(f429,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ1_spl|~sQ0_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f200,f36])).
% 0.14/0.39 fof(f443,plain,(
% 0.14/0.39 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f90,f196])).
% 0.14/0.39 fof(f445,plain,(
% 0.14/0.39 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f86,f443])).
% 0.14/0.39 fof(f456,plain,(
% 0.14/0.39 ~sk_c5=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~sQ11_spl|~sQ1_spl|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f429,f134])).
% 0.14/0.39 fof(f470,definition,(
% 0.14/0.39 sQ21_spl <=> (sk_c5=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f472,plain,(
% 0.14/0.39 ~sk_c5=sk_c6|sQ21_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f470])).
% 0.14/0.39 fof(f473,definition,(
% 0.14/0.39 sQ22_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f475,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c7))=sk_c7|sQ22_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f473])).
% 0.14/0.39 fof(f476,plain,(
% 0.14/0.39 ~sQ21_spl|~sQ22_spl|~sQ11_spl|~sQ1_spl|~sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f456,f470,f473,f133,f73,f70])).
% 0.14/0.39 fof(f483,definition,(
% 0.14/0.39 sQ23_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f485,plain,(
% 0.14/0.39 ~inverse(sk_c3)=sk_c6|sQ23_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f483])).
% 0.14/0.39 fof(f486,plain,(
% 0.14/0.39 ~sQ16_spl|~sQ23_spl|~sQ12_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f162,f183,f483,f136,f81])).
% 0.14/0.39 fof(f487,plain,(
% 0.14/0.39 ~sk_c7=sk_c6|~sQ2_spl|sQ23_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f78,f485])).
% 0.14/0.39 fof(f517,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c7),sk_c6)|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f428,f196])).
% 0.14/0.39 fof(f519,plain,(
% 0.14/0.39 sk_c7=multiply(sk_c6,sk_c6)|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f71,f517])).
% 0.14/0.39 fof(f528,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c6),sk_c5)|~sQ4_spl|~sQ5_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f445,f196])).
% 0.14/0.39 fof(f530,definition,(
% 0.14/0.39 sQ28_spl <=> (inverse(sk_c6)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f532,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c6|sQ28_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f530])).
% 0.14/0.39 fof(f577,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f581,f78])).
% 0.14/0.39 fof(f578,plain,(
% 0.14/0.39 inverse(sk_c5)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f581,f71])).
% 0.14/0.39 fof(f581,plain,(
% 0.14/0.39 sk_c7=sk_c5|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f445,f519])).
% 0.14/0.39 fof(f583,plain,(
% 0.14/0.39 multiply(sk_c5,sk_c3)=sk_c5|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f577,f429])).
% 0.14/0.39 fof(f585,plain,(
% 0.14/0.39 sk_c3=sk_c5|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f423,f583])).
% 0.14/0.39 fof(f587,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c3|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f585,f577])).
% 0.14/0.39 fof(f588,plain,(
% 0.14/0.39 sk_c7=sk_c3|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f585,f581])).
% 0.14/0.39 fof(f589,plain,(
% 0.14/0.39 ~sk_c3=sk_c6|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl|sQ21_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f585,f472])).
% 0.14/0.39 fof(f597,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c6|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f585,f578])).
% 0.14/0.39 fof(f602,plain,(
% 0.14/0.39 sk_c3=sk_c6|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f587,f597])).
% 0.14/0.39 fof(f604,plain,(
% 0.14/0.39 $false|sQ21_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f602,f589])).
% 0.14/0.39 fof(f605,plain,(
% 0.14/0.39 sQ21_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f604])).
% 0.14/0.39 fof(f659,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c3)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f588,f74])).
% 0.14/0.39 fof(f660,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c3)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f585,f659])).
% 0.14/0.39 fof(f669,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c3))=sk_c7|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|sQ22_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f588,f475])).
% 0.14/0.39 fof(f670,plain,(
% 0.14/0.39 ~inverse(sk_c3)=sk_c7|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|sQ22_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f587,f669])).
% 0.14/0.39 fof(f671,plain,(
% 0.14/0.39 ~sk_c3=sk_c7|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|sQ22_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f587,f670])).
% 0.14/0.39 fof(f672,plain,(
% 0.14/0.39 ~sk_c3=sk_c3|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|sQ22_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f588,f671])).
% 0.14/0.39 fof(f673,plain,(
% 0.14/0.39 $false|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|sQ22_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f672])).
% 0.14/0.39 fof(f674,plain,(
% 0.14/0.39 ~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|sQ22_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f673])).
% 0.14/0.39 fof(f678,plain,(
% 0.14/0.39 ~multiply(sk_c6,sk_c3)=sk_c7|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl|sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f585,f95])).
% 0.14/0.39 fof(f679,plain,(
% 0.14/0.39 ~sk_c3=sk_c7|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl|sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f660,f678])).
% 0.14/0.39 fof(f680,plain,(
% 0.14/0.39 ~sk_c3=sk_c3|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl|sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f588,f679])).
% 0.14/0.39 fof(f681,plain,(
% 0.14/0.39 $false|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl|sQ6_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f680])).
% 0.14/0.39 fof(f682,plain,(
% 0.14/0.39 ~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl|sQ6_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f681])).
% 0.14/0.39 fof(f703,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c3)=identity|~sQ2_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.14/0.39 fof(f733,plain,(
% 0.14/0.39 sk_c7=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f528,f222])).
% 0.14/0.39 fof(f736,plain,(
% 0.14/0.39 $false|~sQ2_spl|sQ23_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f733,f487])).
% 0.14/0.39 fof(f737,plain,(
% 0.14/0.39 ~sQ2_spl|sQ23_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f736])).
% 0.14/0.39 fof(f739,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c3)=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f733,f703])).
% 0.14/0.39 fof(f741,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c7,sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f733,f428])).
% 0.14/0.39 fof(f742,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f733,f72])).
% 0.14/0.39 fof(f743,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f733,f78])).
% 0.14/0.39 fof(f748,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f733,f741])).
% 0.14/0.39 fof(f749,plain,(
% 0.14/0.39 sk_c6=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f445,f748])).
% 0.14/0.39 fof(f751,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f749,f528])).
% 0.14/0.39 fof(f759,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f749,f532])).
% 0.14/0.39 fof(f761,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f749,f86])).
% 0.14/0.39 fof(f762,plain,(
% 0.14/0.39 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f749,f751])).
% 0.14/0.39 fof(f763,plain,(
% 0.14/0.39 sk_c5=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f36,f762])).
% 0.14/0.39 fof(f766,plain,(
% 0.14/0.39 ~inverse(sk_c5)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f749,f759])).
% 0.14/0.39 fof(f767,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c5|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f749,f743])).
% 0.14/0.39 fof(f778,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f763,f36])).
% 0.14/0.39 fof(f779,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f763,f35])).
% 0.14/0.39 fof(f785,plain,(
% 0.14/0.39 multiply(sk_c5,sk_c3)=identity|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f749,f739])).
% 0.14/0.39 fof(f786,plain,(
% 0.14/0.39 sk_c5=sk_c3|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f787,f763])).
% 0.14/0.39 fof(f787,plain,(
% 0.14/0.39 sk_c3=identity|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f779,f785])).
% 0.14/0.39 fof(f788,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c3,X0)=X0|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f786,f779])).
% 0.14/0.39 fof(f789,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c3|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f786,f761])).
% 0.14/0.39 fof(f794,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c3|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f786,f767])).
% 0.14/0.39 fof(f805,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f786,f778])).
% 0.14/0.39 fof(f806,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c4)=sk_c3|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f789,f805])).
% 0.14/0.39 fof(f809,plain,(
% 0.14/0.39 sk_c4=sk_c3|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f788,f806])).
% 0.14/0.39 fof(f825,plain,(
% 0.14/0.39 sk_c5=sk_c4|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f809,f786])).
% 0.14/0.39 fof(f829,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c3|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f809,f794])).
% 0.14/0.39 fof(f830,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c4|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f809,f829])).
% 0.14/0.39 fof(f838,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f825,f766])).
% 0.14/0.39 fof(f839,plain,(
% 0.14/0.39 ~sk_c4=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f830,f838])).
% 0.14/0.39 fof(f840,plain,(
% 0.14/0.39 ~sk_c4=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f825,f839])).
% 0.14/0.39 fof(f841,plain,(
% 0.14/0.39 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f840])).
% 0.14/0.39 fof(f842,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f841])).
% 0.14/0.39 fof(f846,plain,(
% 0.14/0.39 ~sQ28_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f742,f530,f85,f89,f73,f70])).
% 0.14/0.39 fof(f849,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f105,f106,f107,f108,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f150,f158,f165,f179,f189,f259,f333,f415,f418,f476,f486,f605,f674,f682,f737,f842,f846])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.048010 seconds
% 0.14/0.41 % CPU time: 0.131929 seconds
% 0.14/0.41 % Total memory used: 27.540 MB
% 0.14/0.41 % Net memory used: 27.464 MB
%------------------------------------------------------------------------------