%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP361-1 : 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:30 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP361-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:13:35 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 ( 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(f5,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f10,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f11,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f12,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f13,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f14,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f15,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c7) = sk_c5| inverse(sk_c4) = sk_c5 ) ),
% 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_c7,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(f17,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c5,sk_c7) = 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_c7,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(f19,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c7,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(f20,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = 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 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f22,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f23,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c5,sk_c7) = 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_c1,sk_c7) = sk_c2| inverse(sk_c3) = sk_c7 ) ),
% 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_c1,sk_c7) = sk_c2| multiply(sk_c3,sk_c6) = 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_c1,sk_c7) = sk_c2| multiply(sk_c4,sk_c5) = 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_c1,sk_c7) = sk_c2| inverse(sk_c4) = sk_c5 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f28,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c1) = 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(f29,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 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_c1) = sk_c7| 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_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(f32,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 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_c1) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 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]: (( multiply(sk_c6,sk_c5) != sk_c7| inverse(sk_c7) != sk_c5| multiply(sk_c7,X3) != sk_c6| multiply(X4,sk_c7) != X3| inverse(X4) != sk_c7| multiply(sk_c6,sk_c7) != sk_c5| multiply(sk_c5,sk_c7) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(X2,sk_c5) != sk_c7| inverse(X2) != sk_c5 ) ))),
% 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 multiply(sk_c6,sk_c5)=sk_c7|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 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f44,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.39 fof(f45,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c5,sk_c7)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.39 fof(f46,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.39 fof(f47,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f48,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.39 fof(f49,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c5|inverse(sk_c4)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.39 fof(f50,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.39 fof(f51,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c5,sk_c7)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.39 fof(f52,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.39 fof(f53,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.39 fof(f54,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.39 fof(f55,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.39 fof(f56,plain,(
% 0.10/0.39 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.39 fof(f57,plain,(
% 0.10/0.39 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c5,sk_c7)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.39 fof(f58,plain,(
% 0.10/0.39 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c3)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.39 fof(f59,plain,(
% 0.10/0.39 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.39 fof(f60,plain,(
% 0.10/0.39 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c4,sk_c5)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.39 fof(f61,plain,(
% 0.10/0.39 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c4)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.39 fof(f62,plain,(
% 0.10/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.39 fof(f63,plain,(
% 0.10/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.39 fof(f64,plain,(
% 0.10/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.39 fof(f65,plain,(
% 0.10/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.39 fof(f66,plain,(
% 0.10/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.39 fof(f67,plain,(
% 0.10/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.39 fof(f68,plain,(
% 0.10/0.39 ![X2]: (((![X1]: (((((![X4]: ((![X3]: (((~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c7)=sk_c5)|~multiply(sk_c7,X3)=sk_c6)|~multiply(X4,sk_c7)=X3))|~inverse(X4)=sk_c7))|~multiply(sk_c6,sk_c7)=sk_c5)|~multiply(sk_c5,sk_c7)=sk_c6)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(X2,sk_c5)=sk_c7)|~inverse(X2)=sk_c5)),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.10/0.39 fof(f69,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c7)=sk_c5|~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~multiply(sk_c6,sk_c7)=sk_c5|~multiply(sk_c5,sk_c7)=sk_c6|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~multiply(X3,sk_c5)=sk_c7|~inverse(X3)=sk_c5)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.10/0.39 fof(f70,definition,(
% 0.10/0.39 sQ0_spl <=> (multiply(sk_c6,sk_c5)=sk_c7)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f71,plain,(
% 0.10/0.39 multiply(sk_c6,sk_c5)=sk_c7|~sQ0_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.10/0.39 fof(f72,plain,(
% 0.10/0.39 ~multiply(sk_c6,sk_c5)=sk_c7|sQ0_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.10/0.39 fof(f73,definition,(
% 0.10/0.39 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f74,plain,(
% 0.10/0.39 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.39 fof(f75,plain,(
% 0.10/0.39 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.39 fof(f76,plain,(
% 0.10/0.39 sQ0_spl|sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.10/0.39 fof(f77,definition,(
% 0.10/0.39 sQ2_spl <=> (multiply(sk_c5,sk_c7)=sk_c6)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f78,plain,(
% 0.10/0.39 multiply(sk_c5,sk_c7)=sk_c6|~sQ2_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.39 fof(f79,plain,(
% 0.10/0.39 ~multiply(sk_c5,sk_c7)=sk_c6|sQ2_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.39 fof(f80,plain,(
% 0.10/0.39 sQ0_spl|sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.10/0.39 fof(f81,definition,(
% 0.10/0.39 sQ3_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f82,plain,(
% 0.10/0.39 inverse(sk_c3)=sk_c7|~sQ3_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.10/0.39 fof(f85,definition,(
% 0.10/0.39 sQ4_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f86,plain,(
% 0.10/0.39 multiply(sk_c3,sk_c6)=sk_c7|~sQ4_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.39 fof(f87,plain,(
% 0.10/0.39 ~multiply(sk_c3,sk_c6)=sk_c7|sQ4_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.39 fof(f89,definition,(
% 0.10/0.39 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c7)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f90,plain,(
% 0.10/0.39 multiply(sk_c4,sk_c5)=sk_c7|~sQ5_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.39 fof(f93,definition,(
% 0.10/0.39 sQ6_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f94,plain,(
% 0.10/0.39 inverse(sk_c4)=sk_c5|~sQ6_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.39 fof(f97,definition,(
% 0.10/0.39 sQ7_spl <=> (inverse(sk_c7)=sk_c5)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f98,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c5|~sQ7_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.39 fof(f99,plain,(
% 0.10/0.39 ~inverse(sk_c7)=sk_c5|sQ7_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.39 fof(f100,plain,(
% 0.10/0.39 sQ7_spl|sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.10/0.39 fof(f101,plain,(
% 0.10/0.39 sQ7_spl|sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.10/0.39 fof(f102,plain,(
% 0.10/0.39 sQ7_spl|sQ3_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.10/0.39 fof(f103,plain,(
% 0.10/0.39 sQ7_spl|sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.10/0.39 fof(f104,plain,(
% 0.10/0.39 sQ7_spl|sQ5_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.10/0.39 fof(f105,plain,(
% 0.10/0.39 sQ7_spl|sQ6_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.10/0.39 fof(f106,definition,(
% 0.10/0.39 sQ8_spl <=> (multiply(sk_c7,sk_c2)=sk_c6)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f107,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c2)=sk_c6|~sQ8_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f106])).
% 0.10/0.39 fof(f109,plain,(
% 0.10/0.39 sQ8_spl|sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.10/0.39 fof(f110,plain,(
% 0.10/0.39 sQ8_spl|sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.10/0.39 fof(f111,plain,(
% 0.10/0.39 sQ8_spl|sQ3_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.10/0.39 fof(f112,plain,(
% 0.10/0.39 sQ8_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.10/0.40 fof(f113,plain,(
% 0.10/0.40 sQ8_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.10/0.40 fof(f114,plain,(
% 0.10/0.40 sQ8_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.10/0.40 fof(f115,definition,(
% 0.10/0.40 sQ9_spl <=> (multiply(sk_c1,sk_c7)=sk_c2)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f116,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c2|~sQ9_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.10/0.40 fof(f118,plain,(
% 0.10/0.40 sQ9_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.10/0.40 fof(f119,plain,(
% 0.10/0.40 sQ9_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.10/0.40 fof(f120,plain,(
% 0.10/0.40 sQ9_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.10/0.40 fof(f121,plain,(
% 0.10/0.40 sQ9_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.10/0.40 fof(f122,plain,(
% 0.10/0.40 sQ9_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.10/0.40 fof(f123,plain,(
% 0.10/0.40 sQ9_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.10/0.40 fof(f124,definition,(
% 0.10/0.40 sQ10_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f125,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|~sQ10_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.10/0.40 fof(f127,plain,(
% 0.10/0.40 sQ10_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.10/0.40 fof(f128,plain,(
% 0.10/0.40 sQ10_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.10/0.40 fof(f129,plain,(
% 0.10/0.40 sQ10_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.10/0.40 fof(f130,plain,(
% 0.10/0.40 sQ10_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.10/0.40 fof(f131,plain,(
% 0.10/0.40 sQ10_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.10/0.40 fof(f132,plain,(
% 0.10/0.40 sQ10_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.10/0.40 fof(f133,definition,(
% 0.10/0.40 ![X0,X1]: (sQ11_spl <=> (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f134,plain,(
% 0.10/0.40 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ11_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.10/0.40 fof(f136,definition,(
% 0.10/0.40 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f137,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.40 fof(f139,definition,(
% 0.10/0.40 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c5)=sk_c7|~inverse(X3)=sk_c5))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f140,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~sQ13_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.10/0.40 fof(f142,plain,(
% 0.10/0.40 ~sQ0_spl|~sQ7_spl|sQ11_spl|~sQ1_spl|~sQ2_spl|sQ12_spl|sQ13_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f69,f70,f97,f133,f73,f77,f136,f139])).
% 0.10/0.40 fof(f143,plain,(
% 0.10/0.40 ~inverse(sk_c6)=sk_c5|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f140,f71])).
% 0.10/0.40 fof(f144,plain,(
% 0.10/0.40 ~inverse(sk_c4)=sk_c5|~sQ13_spl|~sQ5_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f140,f90])).
% 0.10/0.40 fof(f145,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~inverse(sk_c6)=sk_c5|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.10/0.40 fof(f147,plain,(
% 0.10/0.40 ~sk_c5=sk_c5|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f94,f144])).
% 0.10/0.40 fof(f148,plain,(
% 0.10/0.40 $false|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f147])).
% 0.10/0.40 fof(f149,plain,(
% 0.10/0.40 ~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f148])).
% 0.10/0.40 fof(f150,plain,(
% 0.10/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.10/0.40 fof(f151,plain,(
% 0.10/0.40 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ4_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f137,f86])).
% 0.10/0.40 fof(f153,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f82,f151])).
% 0.10/0.40 fof(f154,plain,(
% 0.10/0.40 $false|~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f153])).
% 0.10/0.40 fof(f155,plain,(
% 0.10/0.40 ~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f154])).
% 0.10/0.40 fof(f159,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~sQ5_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.10/0.40 fof(f173,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c2)=sk_c6|~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ9_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f116,f150])).
% 0.10/0.40 fof(f174,plain,(
% 0.10/0.40 ~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ9_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f173,f106,f124,f133,f115])).
% 0.10/0.40 fof(f176,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c4)=identity|~sQ6_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.10/0.40 fof(f178,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c7)=identity|~sQ7_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f98,f36])).
% 0.10/0.40 fof(f179,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c1)=identity|~sQ10_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.10/0.40 fof(f180,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.10/0.40 fof(f181,plain,(
% 0.10/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f180])).
% 0.10/0.40 fof(f192,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ2_spl|~sQ7_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f193,f35])).
% 0.10/0.40 fof(f193,plain,(
% 0.10/0.40 sk_c6=identity|~sQ2_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f78,f178])).
% 0.10/0.40 fof(f194,plain,(
% 0.10/0.40 sk_c7=sk_c5|~sQ2_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f192,f74])).
% 0.10/0.40 fof(f195,plain,(
% 0.10/0.40 ~sk_c5=sk_c7|~sQ2_spl|~sQ7_spl|sQ0_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f192,f72])).
% 0.10/0.40 fof(f202,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ1_spl|~sQ2_spl|~sQ7_spl|sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f194,f195])).
% 0.10/0.40 fof(f203,plain,(
% 0.10/0.40 $false|~sQ1_spl|~sQ2_spl|~sQ7_spl|sQ0_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f202])).
% 0.10/0.40 fof(f204,plain,(
% 0.10/0.40 ~sQ1_spl|~sQ2_spl|~sQ7_spl|sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f203])).
% 0.10/0.40 fof(f228,plain,(
% 0.10/0.40 sk_c5=multiply(inverse(sk_c4),sk_c7)|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f90,f181])).
% 0.10/0.40 fof(f235,plain,(
% 0.10/0.40 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ4_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f86,f181])).
% 0.10/0.40 fof(f236,plain,(
% 0.10/0.40 sk_c7=multiply(inverse(sk_c1),sk_c2)|~sQ9_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f116,f181])).
% 0.10/0.40 fof(f239,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c5,sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f94,f228])).
% 0.10/0.40 fof(f240,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ3_spl|~sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f82,f235])).
% 0.10/0.40 fof(f241,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c7,sk_c2)|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f125,f236])).
% 0.10/0.40 fof(f243,plain,(
% 0.10/0.40 sk_c5=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f239,f78])).
% 0.10/0.40 fof(f244,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c7)=multiply(sk_c4,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f239,f159])).
% 0.10/0.40 fof(f247,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c7)=sk_c7|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f90,f244])).
% 0.10/0.40 fof(f251,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c5)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f243,f86])).
% 0.10/0.40 fof(f256,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c7,sk_c7)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f243,f240])).
% 0.10/0.40 fof(f261,plain,(
% 0.10/0.40 sk_c5=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f247,f256])).
% 0.10/0.40 fof(f267,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c4)=identity|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f261,f176])).
% 0.10/0.40 fof(f268,plain,(
% 0.10/0.40 ~inverse(sk_c7)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f261,f99])).
% 0.10/0.40 fof(f278,plain,(
% 0.10/0.40 sk_c7=sk_c6|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f241,f107])).
% 0.10/0.40 fof(f282,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f283,f35])).
% 0.10/0.40 fof(f283,plain,(
% 0.10/0.40 sk_c7=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f278,f193])).
% 0.10/0.40 fof(f284,plain,(
% 0.10/0.40 sk_c7=sk_c2|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f285,f241])).
% 0.10/0.40 fof(f285,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f278,f192])).
% 0.10/0.40 fof(f289,plain,(
% 0.10/0.40 sk_c2=sk_c5|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ2_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f284,f194])).
% 0.10/0.40 fof(f290,plain,(
% 0.10/0.40 sk_c2=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f284,f283])).
% 0.10/0.40 fof(f291,plain,(
% 0.10/0.40 sk_c2=sk_c6|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f284,f278])).
% 0.10/0.40 fof(f292,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c2|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f284,f82])).
% 0.10/0.40 fof(f294,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c2|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f284,f125])).
% 0.10/0.40 fof(f299,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f284,f282])).
% 0.10/0.40 fof(f305,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c1,X0))|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f294,f181])).
% 0.10/0.40 fof(f306,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c1,X0)|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f299,f305])).
% 0.10/0.40 fof(f310,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f290,f36])).
% 0.10/0.40 fof(f311,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c1)=sk_c2|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f294,f310])).
% 0.10/0.40 fof(f312,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c3)=sk_c2|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f292,f310])).
% 0.10/0.40 fof(f316,plain,(
% 0.10/0.40 sk_c1=sk_c2|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f299,f311])).
% 0.10/0.40 fof(f317,plain,(
% 0.10/0.40 sk_c3=sk_c2|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f299,f312])).
% 0.10/0.40 fof(f323,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f316,f310])).
% 0.10/0.40 fof(f324,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c1|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f316,f294])).
% 0.10/0.40 fof(f329,plain,(
% 0.10/0.40 sk_c1=sk_c6|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f316,f291])).
% 0.10/0.40 fof(f331,plain,(
% 0.10/0.40 sk_c1=sk_c5|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ2_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f316,f289])).
% 0.10/0.40 fof(f332,plain,(
% 0.10/0.40 sk_c7=sk_c1|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f316,f284])).
% 0.10/0.40 fof(f335,plain,(
% 0.10/0.40 sk_c3=sk_c1|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f316,f317])).
% 0.10/0.40 fof(f354,plain,(
% 0.10/0.40 ~multiply(sk_c1,sk_c6)=sk_c7|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl|sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f335,f87])).
% 0.10/0.40 fof(f355,plain,(
% 0.10/0.40 ~sk_c6=sk_c7|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl|sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f306,f354])).
% 0.10/0.40 fof(f356,plain,(
% 0.10/0.40 ~sk_c1=sk_c7|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl|sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f329,f355])).
% 0.10/0.40 fof(f357,plain,(
% 0.10/0.40 ~sk_c1=sk_c1|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl|sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f332,f356])).
% 0.10/0.40 fof(f358,plain,(
% 0.10/0.40 $false|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl|sQ4_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f357])).
% 0.10/0.40 fof(f359,plain,(
% 0.10/0.40 ~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ3_spl|sQ4_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f358])).
% 0.10/0.40 fof(f382,definition,(
% 0.10/0.40 sQ14_spl <=> (sk_c7=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f384,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|sQ14_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f382])).
% 0.10/0.40 fof(f415,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c6)=sk_c7|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ12_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f332,f137])).
% 0.10/0.40 fof(f416,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c7|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ12_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f329,f415])).
% 0.10/0.40 fof(f417,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c1|~sQ8_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ12_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f332,f416])).
% 0.10/0.40 fof(f418,plain,(
% 0.10/0.40 ~inverse(inverse(sk_c1))=sk_c1|~sQ12_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f417,f323])).
% 0.10/0.40 fof(f427,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c1|~sQ12_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f324,f418])).
% 0.10/0.40 fof(f428,plain,(
% 0.10/0.40 ~sk_c1=sk_c1|~sQ12_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f324,f427])).
% 0.10/0.40 fof(f429,plain,(
% 0.10/0.40 $false|~sQ12_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f428])).
% 0.10/0.40 fof(f430,plain,(
% 0.10/0.40 ~sQ12_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f429])).
% 0.10/0.40 fof(f436,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c5)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f278,f71])).
% 0.10/0.40 fof(f447,plain,(
% 0.10/0.40 sk_c2=multiply(inverse(sk_c7),sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f241,f181])).
% 0.10/0.40 fof(f449,plain,(
% 0.10/0.40 sk_c2=multiply(sk_c5,sk_c7)|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f447])).
% 0.10/0.40 fof(f456,plain,(
% 0.10/0.40 sk_c1=multiply(inverse(sk_c7),identity)|~sQ10_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f179,f181])).
% 0.10/0.40 fof(f458,plain,(
% 0.10/0.40 sk_c1=multiply(sk_c5,identity)|~sQ7_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f456])).
% 0.10/0.40 fof(f463,plain,(
% 0.10/0.40 ~identity=sk_c6|~sQ7_spl|sQ2_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f178,f79])).
% 0.10/0.40 fof(f464,plain,(
% 0.10/0.40 ~identity=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ2_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f278,f463])).
% 0.10/0.40 fof(f468,plain,(
% 0.10/0.40 sk_c5=multiply(inverse(sk_c7),sk_c7)|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f436,f181])).
% 0.10/0.40 fof(f470,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c5,sk_c7)|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f468])).
% 0.10/0.40 fof(f517,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c3)=identity|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.10/0.40 fof(f592,definition,(
% 0.10/0.40 sQ15_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f595,plain,(
% 0.10/0.40 ~sQ14_spl|~sQ15_spl|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f145,f382,f592,f139,f70])).
% 0.10/0.40 fof(f596,plain,(
% 0.10/0.40 $false|sQ14_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f384])).
% 0.10/0.40 fof(f597,plain,(
% 0.10/0.40 sQ14_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f596])).
% 0.10/0.40 fof(f611,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c5|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f329,f143])).
% 0.10/0.40 fof(f612,plain,(
% 0.10/0.40 ~sk_c1=sk_c5|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f324,f611])).
% 0.10/0.40 fof(f613,plain,(
% 0.10/0.40 ~sk_c1=sk_c1|~sQ1_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f331,f612])).
% 0.10/0.40 fof(f614,plain,(
% 0.10/0.40 $false|~sQ1_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f613])).
% 0.10/0.40 fof(f615,plain,(
% 0.10/0.40 ~sQ1_spl|~sQ2_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f614])).
% 0.10/0.40 fof(f619,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.10/0.40 fof(f620,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f181,f619])).
% 0.10/0.40 fof(f623,plain,(
% 0.10/0.40 sk_c7=sk_c6|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f261,f243])).
% 0.10/0.40 fof(f630,plain,(
% 0.10/0.40 inverse(sk_c4)=sk_c7|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f261,f94])).
% 0.10/0.40 fof(f643,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c7|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f261,f251])).
% 0.10/0.40 fof(f645,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f643,f37])).
% 0.10/0.40 fof(f790,plain,(
% 0.10/0.40 sk_c2=identity|~sQ10_spl|~sQ9_spl|~sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f449,f178])).
% 0.10/0.40 fof(f794,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ7_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f790,f620])).
% 0.10/0.40 fof(f795,plain,(
% 0.10/0.40 ~sk_c2=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ2_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f790,f464])).
% 0.10/0.40 fof(f798,plain,(
% 0.10/0.40 sk_c1=multiply(sk_c5,sk_c2)|~sQ9_spl|~sQ7_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f790,f458])).
% 0.10/0.40 fof(f802,plain,(
% 0.10/0.40 sk_c1=multiply(sk_c2,sk_c2)|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ7_spl|~sQ10_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f806,f798])).
% 0.10/0.40 fof(f803,plain,(
% 0.10/0.40 sk_c2=multiply(sk_c2,sk_c7)|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f806,f449])).
% 0.10/0.40 fof(f806,plain,(
% 0.10/0.40 sk_c5=sk_c2|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f449,f470])).
% 0.10/0.40 fof(f807,plain,(
% 0.10/0.40 sk_c1=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ7_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f794,f802])).
% 0.10/0.40 fof(f808,plain,(
% 0.10/0.40 sk_c2=sk_c7|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f794,f803])).
% 0.10/0.40 fof(f809,plain,(
% 0.10/0.40 $false|sQ2_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f808,f795])).
% 0.10/0.40 fof(f810,plain,(
% 0.10/0.40 sQ2_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f809])).
% 0.10/0.40 fof(f820,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f278,f192])).
% 0.10/0.40 fof(f830,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c7)=sk_c5|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f278,f75])).
% 0.10/0.40 fof(f831,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c7)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f806,f830])).
% 0.10/0.40 fof(f832,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c7)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f807,f831])).
% 0.10/0.40 fof(f841,plain,(
% 0.10/0.40 sk_c1=sk_c7|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f807,f808])).
% 0.10/0.40 fof(f847,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c1,X0)=X0|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ7_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f841,f820])).
% 0.10/0.40 fof(f858,plain,(
% 0.13/0.40 ~multiply(sk_c1,sk_c7)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f841,f832])).
% 0.13/0.40 fof(f859,plain,(
% 0.13/0.40 ~sk_c7=sk_c1|~sQ2_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f847,f858])).
% 0.13/0.40 fof(f860,plain,(
% 0.13/0.40 ~sk_c1=sk_c1|~sQ2_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f841,f859])).
% 0.13/0.40 fof(f861,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f860])).
% 0.13/0.40 fof(f862,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f861])).
% 0.13/0.40 fof(f908,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c3)=multiply(sk_c3,identity)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f517,f645])).
% 0.13/0.40 fof(f913,plain,(
% 0.13/0.40 identity=multiply(sk_c3,identity)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f517,f908])).
% 0.13/0.40 fof(f920,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c3,multiply(identity,X0))|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f913,f37])).
% 0.13/0.40 fof(f922,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c3,multiply(identity,X0))|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f620,f920])).
% 0.13/0.40 fof(f923,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f620,f922])).
% 0.13/0.40 fof(f927,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(sk_c3),X0)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f923,f181])).
% 0.13/0.40 fof(f929,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c7,X0)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f82,f927])).
% 0.13/0.40 fof(f930,plain,(
% 0.13/0.40 sk_c3=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f929,f517])).
% 0.13/0.40 fof(f932,plain,(
% 0.13/0.40 sk_c4=identity|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f929,f267])).
% 0.13/0.40 fof(f934,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(sk_c7),X0)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f929,f181])).
% 0.13/0.40 fof(f936,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f930,f36])).
% 0.13/0.40 fof(f940,plain,(
% 0.13/0.40 sk_c3=sk_c4|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f932,f930])).
% 0.13/0.40 fof(f941,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c4,X0)|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f940,f923])).
% 0.13/0.40 fof(f950,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f940,f936])).
% 0.13/0.40 fof(f962,plain,(
% 0.13/0.40 sk_c7=sk_c4|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f950,f934])).
% 0.13/0.40 fof(f971,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c4|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f962,f268])).
% 0.13/0.40 fof(f972,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c4|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f962,f630])).
% 0.13/0.40 fof(f974,plain,(
% 0.13/0.40 sk_c4=sk_c6|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f962,f623])).
% 0.13/0.40 fof(f975,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c4|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f962,f971])).
% 0.13/0.40 fof(f976,plain,(
% 0.13/0.40 $false|sQ7_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f972,f975])).
% 0.13/0.40 fof(f977,plain,(
% 0.13/0.40 sQ7_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f976])).
% 0.13/0.40 fof(f1036,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c4,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f962,f150])).
% 0.13/0.40 fof(f1037,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f941,f1036])).
% 0.13/0.40 fof(f1038,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c4)=sk_c6|~inverse(X0)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f962,f1037])).
% 0.13/0.40 fof(f1039,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f974,f1038])).
% 0.13/0.40 fof(f1040,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f962,f1039])).
% 0.13/0.40 fof(f1090,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c4))=sk_c4|~sQ11_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f1040,f950])).
% 0.13/0.40 fof(f1095,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c4|~sQ11_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f972,f1090])).
% 0.13/0.40 fof(f1096,plain,(
% 0.13/0.40 ~sk_c4=sk_c4|~sQ11_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f972,f1095])).
% 0.13/0.40 fof(f1097,plain,(
% 0.13/0.40 $false|~sQ11_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1096])).
% 0.13/0.40 fof(f1098,plain,(
% 0.13/0.40 ~sQ11_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1097])).
% 0.13/0.40 fof(f1099,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f142,f149,f155,f174,f204,f359,f430,f595,f597,f615,f810,f862,f977,f1098])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.053577 seconds
% 0.13/0.42 % CPU time: 0.161371 seconds
% 0.13/0.42 % Total memory used: 31.597 MB
% 0.13/0.42 % Net memory used: 31.448 MB
%------------------------------------------------------------------------------