%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP360-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP360-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n019.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:10:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f1,axiom,(
% 0.11/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f2,axiom,(
% 0.11/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f3,axiom,(
% 0.11/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f4,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f5,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f6,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f7,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f8,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f9,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f10,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f11,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f12,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f13,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f14,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f15,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f16,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f17,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f18,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f19,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f20,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f21,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f22,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f23,negated_conjecture,(
% 0.11/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f24,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f25,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f26,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f27,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f28,negated_conjecture,(
% 0.11/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f29,negated_conjecture,(
% 0.11/0.39 (![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| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f30,plain,(
% 0.11/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.39 fof(f31,plain,(
% 0.11/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.39 fof(f32,plain,(
% 0.11/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.39 fof(f33,plain,(
% 0.11/0.39 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.39 fof(f34,plain,(
% 0.11/0.39 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.39 fof(f35,plain,(
% 0.11/0.39 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.39 fof(f36,plain,(
% 0.11/0.39 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.39 fof(f37,plain,(
% 0.11/0.39 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.39 fof(f38,plain,(
% 0.11/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.39 fof(f39,plain,(
% 0.11/0.39 inverse(sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.39 fof(f40,plain,(
% 0.11/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f41,plain,(
% 0.11/0.39 inverse(sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.39 fof(f42,plain,(
% 0.11/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.39 fof(f43,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.39 fof(f44,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.39 fof(f45,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.39 fof(f46,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.39 fof(f47,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.39 fof(f48,plain,(
% 0.11/0.39 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.39 fof(f49,plain,(
% 0.11/0.39 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c3)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.39 fof(f50,plain,(
% 0.11/0.39 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.39 fof(f51,plain,(
% 0.11/0.39 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c4)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.39 fof(f52,plain,(
% 0.11/0.39 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.39 fof(f53,plain,(
% 0.11/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.39 fof(f54,plain,(
% 0.11/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.39 fof(f55,plain,(
% 0.11/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.39 fof(f56,plain,(
% 0.11/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.39 fof(f57,plain,(
% 0.11/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.39 fof(f58,plain,(
% 0.11/0.39 ![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)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f29])).
% 0.11/0.39 fof(f59,plain,(
% 0.11/0.39 ![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|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.11/0.39 fof(f60,definition,(
% 0.11/0.39 sQ0_spl <=> (multiply(sk_c6,sk_c5)=sk_c7)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f61,plain,(
% 0.11/0.39 multiply(sk_c6,sk_c5)=sk_c7|~sQ0_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.39 fof(f62,plain,(
% 0.11/0.39 ~multiply(sk_c6,sk_c5)=sk_c7|sQ0_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.39 fof(f63,definition,(
% 0.11/0.39 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f64,plain,(
% 0.11/0.39 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.11/0.39 fof(f65,plain,(
% 0.11/0.39 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.11/0.39 fof(f66,plain,(
% 0.11/0.39 sQ0_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.11/0.39 fof(f67,definition,(
% 0.11/0.39 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f68,plain,(
% 0.11/0.39 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f67])).
% 0.11/0.39 fof(f70,plain,(
% 0.11/0.39 sQ0_spl|sQ2_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.11/0.39 fof(f71,definition,(
% 0.11/0.39 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f72,plain,(
% 0.11/0.39 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f71])).
% 0.11/0.39 fof(f74,plain,(
% 0.11/0.39 sQ0_spl|sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.11/0.39 fof(f75,definition,(
% 0.11/0.39 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f76,plain,(
% 0.11/0.39 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f75])).
% 0.11/0.39 fof(f78,plain,(
% 0.11/0.39 sQ0_spl|sQ4_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.11/0.39 fof(f79,definition,(
% 0.11/0.39 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f80,plain,(
% 0.11/0.39 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f79])).
% 0.11/0.39 fof(f81,plain,(
% 0.11/0.39 ~multiply(sk_c4,sk_c5)=sk_c6|sQ5_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f79])).
% 0.11/0.39 fof(f82,plain,(
% 0.11/0.39 sQ0_spl|sQ5_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.11/0.39 fof(f83,definition,(
% 0.11/0.39 sQ6_spl <=> (inverse(sk_c7)=sk_c5)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f84,plain,(
% 0.11/0.39 inverse(sk_c7)=sk_c5|~sQ6_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.39 fof(f85,plain,(
% 0.11/0.39 ~inverse(sk_c7)=sk_c5|sQ6_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.39 fof(f86,plain,(
% 0.11/0.39 sQ6_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.11/0.39 fof(f87,plain,(
% 0.11/0.39 sQ6_spl|sQ2_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.11/0.39 fof(f88,plain,(
% 0.11/0.39 sQ6_spl|sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.11/0.39 fof(f89,plain,(
% 0.11/0.39 sQ6_spl|sQ4_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.11/0.39 fof(f90,plain,(
% 0.11/0.39 sQ6_spl|sQ5_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.11/0.39 fof(f91,definition,(
% 0.11/0.39 sQ7_spl <=> (multiply(sk_c7,sk_c2)=sk_c6)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f92,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c2)=sk_c6|~sQ7_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.11/0.39 fof(f94,plain,(
% 0.11/0.39 sQ7_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.11/0.39 fof(f95,plain,(
% 0.11/0.39 sQ7_spl|sQ2_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.11/0.39 fof(f96,plain,(
% 0.11/0.39 sQ7_spl|sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.11/0.39 fof(f97,plain,(
% 0.11/0.39 sQ7_spl|sQ4_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.11/0.39 fof(f98,plain,(
% 0.11/0.39 sQ7_spl|sQ5_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.11/0.39 fof(f99,definition,(
% 0.11/0.39 sQ8_spl <=> (multiply(sk_c1,sk_c7)=sk_c2)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f100,plain,(
% 0.11/0.39 multiply(sk_c1,sk_c7)=sk_c2|~sQ8_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f99])).
% 0.11/0.39 fof(f102,plain,(
% 0.11/0.39 sQ8_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.11/0.39 fof(f103,plain,(
% 0.11/0.39 sQ8_spl|sQ2_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.11/0.39 fof(f104,plain,(
% 0.11/0.39 sQ8_spl|sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.11/0.39 fof(f105,plain,(
% 0.11/0.39 sQ8_spl|sQ4_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.11/0.39 fof(f106,plain,(
% 0.11/0.39 sQ8_spl|sQ5_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.11/0.39 fof(f107,definition,(
% 0.11/0.39 sQ9_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f108,plain,(
% 0.11/0.39 inverse(sk_c1)=sk_c7|~sQ9_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f107])).
% 0.11/0.39 fof(f110,plain,(
% 0.11/0.39 sQ9_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.11/0.39 fof(f111,plain,(
% 0.11/0.39 sQ9_spl|sQ2_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.11/0.39 fof(f112,plain,(
% 0.11/0.39 sQ9_spl|sQ3_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.11/0.39 fof(f113,plain,(
% 0.11/0.39 sQ9_spl|sQ4_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.11/0.39 fof(f114,plain,(
% 0.11/0.39 sQ9_spl|sQ5_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.11/0.39 fof(f115,definition,(
% 0.11/0.39 ![X0,X1]: (sQ10_spl <=> (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f116,plain,(
% 0.11/0.39 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ10_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f115])).
% 0.11/0.39 fof(f118,definition,(
% 0.11/0.39 ![X2]: (sQ11_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f119,plain,(
% 0.11/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ11_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f118])).
% 0.11/0.39 fof(f121,definition,(
% 0.11/0.39 ![X3]: (sQ12_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f122,plain,(
% 0.11/0.39 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ12_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f121])).
% 0.11/0.39 fof(f124,plain,(
% 0.11/0.39 ~sQ0_spl|~sQ6_spl|sQ10_spl|~sQ1_spl|sQ11_spl|sQ12_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f59,f60,f83,f115,f63,f118,f121])).
% 0.11/0.39 fof(f125,plain,(
% 0.11/0.39 ~inverse(sk_c4)=sk_c6|~sQ12_spl|~sQ5_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f122,f80])).
% 0.11/0.39 fof(f126,plain,(
% 0.11/0.39 ~inverse(sk_c6)=sk_c6|~sk_c7=sk_c6|~sQ12_spl|~sQ0_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f61,f122])).
% 0.11/0.39 fof(f128,plain,(
% 0.11/0.39 ~sk_c6=sk_c6|~sQ4_spl|~sQ12_spl|~sQ5_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f76,f125])).
% 0.11/0.39 fof(f129,plain,(
% 0.11/0.39 $false|~sQ4_spl|~sQ12_spl|~sQ5_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f128])).
% 0.11/0.39 fof(f130,plain,(
% 0.11/0.39 ~sQ4_spl|~sQ12_spl|~sQ5_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f129])).
% 0.11/0.39 fof(f131,plain,(
% 0.11/0.39 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.11/0.39 inference(destructive_equality_resolution,[status(thm)],[f116])).
% 0.11/0.39 fof(f132,plain,(
% 0.11/0.39 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ3_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f119,f72])).
% 0.11/0.39 fof(f134,plain,(
% 0.11/0.39 ~sk_c7=sk_c7|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f68,f132])).
% 0.11/0.39 fof(f135,plain,(
% 0.11/0.39 $false|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f134])).
% 0.11/0.39 fof(f136,plain,(
% 0.11/0.39 ~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f135])).
% 0.11/0.39 fof(f138,plain,(
% 0.11/0.39 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c5,X0))|~sQ0_spl)),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f61,f32])).
% 0.11/0.39 fof(f140,plain,(
% 0.11/0.39 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~sQ5_spl)),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f80,f32])).
% 0.11/0.39 fof(f154,plain,(
% 0.11/0.39 ~multiply(sk_c7,sk_c2)=sk_c6|~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ8_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f100,f131])).
% 0.11/0.39 fof(f155,plain,(
% 0.11/0.39 ~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ8_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f154,f91,f107,f115,f99])).
% 0.11/0.39 fof(f159,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c1)=identity|~sQ9_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.11/0.39 fof(f160,plain,(
% 0.11/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.11/0.39 fof(f161,plain,(
% 0.11/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f30,f160])).
% 0.11/0.39 fof(f163,plain,(
% 0.11/0.39 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f64,f32])).
% 0.11/0.39 fof(f181,plain,(
% 0.11/0.39 sk_c7=multiply(inverse(sk_c6),sk_c5)|~sQ1_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f64,f161])).
% 0.11/0.39 fof(f185,plain,(
% 0.11/0.39 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f72,f161])).
% 0.11/0.39 fof(f186,plain,(
% 0.11/0.39 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f80,f161])).
% 0.11/0.39 fof(f187,plain,(
% 0.11/0.39 sk_c7=multiply(inverse(sk_c1),sk_c2)|~sQ8_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f100,f161])).
% 0.11/0.39 fof(f190,plain,(
% 0.11/0.39 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f68,f185])).
% 0.11/0.39 fof(f191,plain,(
% 0.11/0.39 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f76,f186])).
% 0.11/0.39 fof(f192,plain,(
% 0.11/0.39 sk_c7=multiply(sk_c7,sk_c2)|~sQ9_spl|~sQ8_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f108,f187])).
% 0.11/0.39 fof(f206,plain,(
% 0.11/0.39 sk_c2=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f192,f161])).
% 0.11/0.39 fof(f208,plain,(
% 0.11/0.39 sk_c2=identity|~sQ9_spl|~sQ8_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f31,f206])).
% 0.11/0.39 fof(f225,plain,(
% 0.11/0.39 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f190,f163])).
% 0.11/0.39 fof(f232,plain,(
% 0.11/0.39 multiply(sk_c5,sk_c7)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f191,f225])).
% 0.11/0.39 fof(f236,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c1)=sk_c2|~sQ8_spl|~sQ9_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f208,f159])).
% 0.11/0.39 fof(f239,plain,(
% 0.11/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ9_spl|~sQ8_spl)),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f208,f31])).
% 0.11/0.39 fof(f240,plain,(
% 0.11/0.39 ![X0]: (multiply(sk_c2,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f208,f30])).
% 0.11/0.39 fof(f250,plain,(
% 0.11/0.39 multiply(sk_c6,sk_c7)=multiply(sk_c4,sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f232,f140])).
% 0.11/0.39 fof(f251,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c7)=multiply(sk_c6,sk_c5)|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f232,f138])).
% 0.11/0.39 fof(f254,plain,(
% 0.11/0.39 sk_c5=multiply(sk_c4,sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f64,f250])).
% 0.11/0.39 fof(f255,plain,(
% 0.11/0.39 sk_c6=multiply(sk_c6,sk_c5)|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f190,f251])).
% 0.11/0.39 fof(f256,plain,(
% 0.11/0.39 sk_c6=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f61,f255])).
% 0.11/0.39 fof(f287,plain,(
% 0.11/0.39 sk_c5=sk_c6|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f254,f80])).
% 0.11/0.39 fof(f288,plain,(
% 0.11/0.39 sk_c5=multiply(inverse(sk_c4),sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f254,f161])).
% 0.11/0.39 fof(f290,plain,(
% 0.11/0.39 sk_c5=multiply(sk_c6,sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f76,f288])).
% 0.11/0.39 fof(f301,plain,(
% 0.11/0.39 multiply(sk_c3,sk_c5)=sk_c7|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f287,f72])).
% 0.11/0.39 fof(f306,plain,(
% 0.11/0.39 ~multiply(sk_c5,sk_c5)=sk_c7|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|sQ0_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f287,f62])).
% 0.11/0.39 fof(f307,plain,(
% 0.11/0.39 sk_c5=multiply(inverse(sk_c3),sk_c7)|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f301,f161])).
% 0.11/0.39 fof(f309,plain,(
% 0.11/0.39 sk_c5=multiply(sk_c7,sk_c7)|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f68,f307])).
% 0.11/0.39 fof(f314,plain,(
% 0.11/0.39 ~sk_c5=sk_c7|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|sQ0_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f315,f306])).
% 0.11/0.39 fof(f315,plain,(
% 0.11/0.39 sk_c5=multiply(sk_c5,sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f287,f290])).
% 0.11/0.39 fof(f337,plain,(
% 0.11/0.39 sk_c7=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f192,f92])).
% 0.11/0.39 fof(f345,plain,(
% 0.11/0.39 inverse(sk_c4)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f337,f76])).
% 0.11/0.39 fof(f348,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c5)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f337,f61])).
% 0.11/0.39 fof(f349,plain,(
% 0.11/0.39 sk_c5=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f348,f161])).
% 0.11/0.39 fof(f351,plain,(
% 0.11/0.39 sk_c5=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f239,f349])).
% 0.11/0.39 fof(f359,plain,(
% 0.11/0.39 ~multiply(sk_c4,sk_c5)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ5_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f337,f81])).
% 0.11/0.39 fof(f360,plain,(
% 0.11/0.39 ~multiply(sk_c4,sk_c2)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ5_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f351,f359])).
% 0.11/0.39 fof(f363,plain,(
% 0.11/0.39 inverse(sk_c7)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f351,f84])).
% 0.11/0.39 fof(f364,plain,(
% 0.11/0.39 multiply(sk_c2,sk_c7)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f363,f239])).
% 0.11/0.39 fof(f365,plain,(
% 0.11/0.39 ![X0]: (X0=multiply(sk_c2,multiply(sk_c7,X0))|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl)),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f363,f161])).
% 0.11/0.39 fof(f366,plain,(
% 0.11/0.39 sk_c7=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f240,f364])).
% 0.11/0.39 fof(f367,plain,(
% 0.11/0.39 ![X0]: (X0=multiply(sk_c7,X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f240,f365])).
% 0.11/0.39 fof(f368,plain,(
% 0.11/0.39 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f366,f363])).
% 0.11/0.39 fof(f371,plain,(
% 0.11/0.39 inverse(sk_c4)=sk_c2|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f366,f345])).
% 0.11/0.39 fof(f372,plain,(
% 0.11/0.39 sk_c2=sk_c6|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f366,f337])).
% 0.11/0.39 fof(f373,plain,(
% 0.11/0.39 multiply(sk_c2,sk_c1)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f366,f236])).
% 0.11/0.39 fof(f378,plain,(
% 0.11/0.39 sk_c1=sk_c2|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f240,f373])).
% 0.11/0.39 fof(f380,plain,(
% 0.11/0.39 sk_c1=sk_c6|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f378,f372])).
% 0.11/0.39 fof(f381,plain,(
% 0.11/0.39 sk_c7=sk_c1|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f378,f366])).
% 0.11/0.39 fof(f382,plain,(
% 0.11/0.39 sk_c5=sk_c1|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f378,f351])).
% 0.11/0.39 fof(f384,plain,(
% 0.11/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl)),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f378,f239])).
% 0.11/0.39 fof(f388,plain,(
% 0.11/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c1)=sk_c7|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f380,f119])).
% 0.11/0.39 fof(f389,plain,(
% 0.11/0.39 ![X0]: (X0=multiply(sk_c1,X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f381,f367])).
% 0.11/0.39 fof(f392,plain,(
% 0.11/0.39 inverse(sk_c1)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f378,f368])).
% 0.11/0.39 fof(f393,plain,(
% 0.11/0.39 inverse(sk_c1)=sk_c1|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f378,f392])).
% 0.11/0.39 fof(f397,plain,(
% 0.11/0.39 inverse(sk_c4)=sk_c1|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f378,f371])).
% 0.11/0.39 fof(f398,plain,(
% 0.11/0.39 ![X0]: (X0=multiply(sk_c1,multiply(sk_c4,X0))|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl)),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f397,f161])).
% 0.11/0.39 fof(f399,plain,(
% 0.11/0.39 ![X0]: (X0=multiply(sk_c4,X0)|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f389,f398])).
% 0.11/0.39 fof(f401,plain,(
% 0.11/0.39 ~multiply(sk_c4,sk_c1)=sk_c7|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ5_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f378,f360])).
% 0.11/0.39 fof(f402,plain,(
% 0.11/0.39 ~multiply(sk_c4,sk_c1)=sk_c1|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ5_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f381,f401])).
% 0.11/0.39 fof(f406,plain,(
% 0.11/0.39 ~sk_c1=sk_c1|~sQ4_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ5_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f399,f402])).
% 0.11/0.39 fof(f409,plain,(
% 0.11/0.39 $false|~sQ4_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ5_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f406])).
% 0.11/0.39 fof(f410,plain,(
% 0.11/0.39 ~sQ4_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ5_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f409])).
% 0.11/0.39 fof(f477,plain,(
% 0.11/0.39 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c7|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f381,f388])).
% 0.11/0.39 fof(f478,plain,(
% 0.11/0.39 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c1|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f381,f477])).
% 0.11/0.39 fof(f479,plain,(
% 0.11/0.39 ~inverse(inverse(sk_c1))=sk_c1|~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f478,f384])).
% 0.11/0.39 fof(f486,plain,(
% 0.11/0.39 ~inverse(sk_c1)=sk_c1|~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f393,f479])).
% 0.11/0.39 fof(f487,plain,(
% 0.11/0.39 ~sk_c1=sk_c1|~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f393,f486])).
% 0.11/0.39 fof(f488,plain,(
% 0.11/0.39 $false|~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f487])).
% 0.11/0.39 fof(f489,plain,(
% 0.11/0.39 ~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f488])).
% 0.11/0.39 fof(f493,definition,(
% 0.11/0.39 sQ14_spl <=> (inverse(sk_c6)=sk_c6)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f495,plain,(
% 0.11/0.39 ~inverse(sk_c6)=sk_c6|sQ14_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f493])).
% 0.11/0.39 fof(f496,definition,(
% 0.11/0.39 sQ15_spl <=> (sk_c7=sk_c6)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f498,plain,(
% 0.11/0.39 ~sk_c7=sk_c6|sQ15_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f496])).
% 0.11/0.39 fof(f499,plain,(
% 0.11/0.39 ~sQ14_spl|~sQ15_spl|~sQ12_spl|~sQ0_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f126,f493,f496,f121,f60])).
% 0.11/0.39 fof(f500,plain,(
% 0.11/0.39 ~inverse(sk_c1)=sk_c6|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f380,f495])).
% 0.11/0.39 fof(f501,plain,(
% 0.11/0.39 ~sk_c1=sk_c6|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f393,f500])).
% 0.11/0.39 fof(f502,plain,(
% 0.11/0.39 ~sk_c1=sk_c1|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f380,f501])).
% 0.11/0.39 fof(f503,plain,(
% 0.11/0.39 $false|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f502])).
% 0.11/0.39 fof(f504,plain,(
% 0.11/0.39 ~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f503])).
% 0.11/0.39 fof(f505,plain,(
% 0.11/0.39 ~sk_c1=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ15_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f381,f498])).
% 0.11/0.39 fof(f506,plain,(
% 0.11/0.39 ~sk_c1=sk_c1|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ15_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f380,f505])).
% 0.11/0.39 fof(f507,plain,(
% 0.11/0.39 $false|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ15_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f506])).
% 0.11/0.39 fof(f508,plain,(
% 0.11/0.39 ~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ15_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f507])).
% 0.11/0.39 fof(f509,plain,(
% 0.11/0.39 sk_c5=sk_c7|~sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f256,f287])).
% 0.11/0.39 fof(f511,plain,(
% 0.11/0.39 inverse(sk_c4)=sk_c7|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f256,f76])).
% 0.11/0.39 fof(f519,plain,(
% 0.11/0.39 ~inverse(sk_c7)=sk_c7|~sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|sQ6_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f509,f85])).
% 0.11/0.39 fof(f575,plain,(
% 0.11/0.39 sk_c7=multiply(inverse(sk_c7),sk_c5)|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f256,f181])).
% 0.11/0.39 fof(f576,plain,(
% 0.11/0.39 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f509,f575])).
% 0.11/0.39 fof(f578,plain,(
% 0.11/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl)),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f583,f31])).
% 0.11/0.39 fof(f582,plain,(
% 0.11/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl)),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f583,f30])).
% 0.11/0.39 fof(f583,plain,(
% 0.11/0.39 sk_c7=identity|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f31,f576])).
% 0.11/0.39 fof(f699,definition,(
% 0.11/0.39 sQ16_spl <=> (sk_c1=sk_c1)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f701,plain,(
% 0.11/0.39 ~sk_c1=sk_c1|sQ16_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f699])).
% 0.11/0.39 fof(f710,plain,(
% 0.11/0.39 $false|sQ16_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f701])).
% 0.11/0.39 fof(f711,plain,(
% 0.11/0.39 sQ16_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f710])).
% 0.11/0.39 fof(f729,plain,(
% 0.11/0.39 ![X0]: (X0=multiply(sk_c7,multiply(sk_c4,X0))|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl)),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f511,f161])).
% 0.11/0.39 fof(f730,plain,(
% 0.11/0.39 ![X0]: (X0=multiply(sk_c4,X0)|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f582,f729])).
% 0.11/0.39 fof(f736,plain,(
% 0.11/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ10_spl)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f582,f131])).
% 0.11/0.39 fof(f737,plain,(
% 0.11/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ10_spl)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f256,f736])).
% 0.11/0.39 fof(f739,plain,(
% 0.11/0.39 ~inverse(sk_c4)=sk_c7|~sQ10_spl|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f737,f730])).
% 0.11/0.39 fof(f743,plain,(
% 0.11/0.39 ~sk_c7=sk_c7|~sQ10_spl|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f511,f739])).
% 0.11/0.39 fof(f744,plain,(
% 0.11/0.39 $false|~sQ10_spl|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f743])).
% 0.11/0.39 fof(f745,plain,(
% 0.11/0.39 ~sQ10_spl|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f744])).
% 0.11/0.39 fof(f746,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c3)=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f68,f578])).
% 0.11/0.39 fof(f747,plain,(
% 0.11/0.39 multiply(sk_c7,sk_c4)=sk_c7|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f511,f578])).
% 0.11/0.39 fof(f750,plain,(
% 0.11/0.39 sk_c3=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f582,f746])).
% 0.11/0.39 fof(f751,plain,(
% 0.11/0.39 sk_c4=sk_c7|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f582,f747])).
% 0.11/0.39 fof(f754,plain,(
% 0.11/0.39 inverse(sk_c3)=sk_c3|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f750,f68])).
% 0.11/0.39 fof(f760,plain,(
% 0.11/0.39 sk_c3=sk_c4|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f751,f750])).
% 0.11/0.39 fof(f765,plain,(
% 0.11/0.39 ~inverse(sk_c4)=sk_c7|~sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|sQ6_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f751,f519])).
% 0.11/0.39 fof(f766,plain,(
% 0.11/0.39 ~inverse(sk_c4)=sk_c4|~sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|sQ6_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f751,f765])).
% 0.11/0.39 fof(f767,plain,(
% 0.11/0.39 inverse(sk_c4)=sk_c3|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f760,f754])).
% 0.11/0.39 fof(f768,plain,(
% 0.11/0.39 inverse(sk_c4)=sk_c4|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f760,f767])).
% 0.11/0.39 fof(f769,plain,(
% 0.11/0.39 $false|sQ6_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f768,f766])).
% 0.11/0.39 fof(f770,plain,(
% 0.11/0.39 sQ6_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f769])).
% 0.11/0.39 fof(f772,plain,(
% 0.11/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.11/0.39 fof(f773,plain,(
% 0.11/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f161,f772])).
% 0.11/0.39 fof(f803,plain,(
% 0.11/0.39 ~multiply(sk_c1,sk_c7)=sk_c5|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f380,f65])).
% 0.11/0.39 fof(f804,plain,(
% 0.11/0.39 ~sk_c7=sk_c5|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f389,f803])).
% 0.11/0.39 fof(f805,plain,(
% 0.11/0.39 ~sk_c1=sk_c5|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f381,f804])).
% 0.11/0.39 fof(f806,plain,(
% 0.11/0.39 ~sk_c1=sk_c1|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f382,f805])).
% 0.11/0.39 fof(f807,plain,(
% 0.11/0.39 $false|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f806])).
% 0.11/0.39 fof(f808,plain,(
% 0.11/0.39 ~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f807])).
% 0.11/0.39 fof(f827,plain,(
% 0.11/0.39 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f232,f161])).
% 0.11/0.39 fof(f829,plain,(
% 0.11/0.39 sk_c7=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f31,f827])).
% 0.11/0.39 fof(f832,plain,(
% 0.11/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f829,f773])).
% 0.11/0.39 fof(f843,plain,(
% 0.11/0.39 sk_c5=sk_c7|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f832,f309])).
% 0.11/0.39 fof(f844,plain,(
% 0.11/0.39 $false|sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f843,f314])).
% 0.11/0.39 fof(f845,plain,(
% 0.11/0.39 sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f844])).
% 0.11/0.39 fof(f846,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f124,f130,f136,f155,f410,f489,f499,f504,f508,f711,f745,f770,f808,f845])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.063670 seconds
% 0.11/0.42 % CPU time: 0.197568 seconds
% 0.11/0.42 % Total memory used: 103.685 MB
% 0.11/0.42 % Net memory used: 103.409 MB
%------------------------------------------------------------------------------