%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP262-1 : 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 : n005.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 12:36:20 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP262-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:07:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f11,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f16,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f17,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f18,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f21,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f23,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f25,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c5,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f26,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f27,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c5,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f28,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f29,negated_conjecture,(
% 0.13/0.40 (![X3,X4,X1,X2]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| multiply(sk_c5,sk_c7) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 ![X2]: (((![X1]: (((((![X4]: (((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~multiply(sk_c5,sk_c7)=sk_c6)|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f29])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.13/0.40 fof(f60,definition,(
% 0.13/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f60])).
% 0.13/0.40 fof(f63,definition,(
% 0.13/0.40 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.13/0.40 fof(f67,definition,(
% 0.13/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.13/0.40 fof(f71,definition,(
% 0.13/0.40 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 sQ0_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.13/0.40 fof(f75,definition,(
% 0.13/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f75])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 sQ0_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.13/0.40 fof(f79,definition,(
% 0.13/0.40 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 sQ0_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.13/0.40 fof(f83,definition,(
% 0.13/0.40 sQ6_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|~sQ6_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.13/0.40 fof(f87,plain,(
% 0.13/0.40 sQ6_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 sQ6_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.13/0.40 fof(f89,plain,(
% 0.13/0.40 sQ6_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 sQ6_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.13/0.40 fof(f91,definition,(
% 0.13/0.40 sQ7_spl <=> (multiply(sk_c2,sk_c6)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c5|~sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 sQ7_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.13/0.40 fof(f95,plain,(
% 0.13/0.40 sQ7_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sQ7_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 sQ7_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 sQ7_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.13/0.40 fof(f99,definition,(
% 0.13/0.40 sQ8_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.40 fof(f102,plain,(
% 0.13/0.40 sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.13/0.40 fof(f104,plain,(
% 0.13/0.40 sQ8_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 sQ8_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 sQ8_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.13/0.40 fof(f107,definition,(
% 0.13/0.40 sQ9_spl <=> (multiply(sk_c5,sk_c7)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f108,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c6|~sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.13/0.40 fof(f109,plain,(
% 0.13/0.40 ~multiply(sk_c5,sk_c7)=sk_c6|sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 sQ9_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 sQ9_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 sQ9_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 sQ9_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.13/0.40 fof(f115,definition,(
% 0.13/0.40 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.40 fof(f118,definition,(
% 0.13/0.40 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f119,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.40 fof(f121,definition,(
% 0.13/0.40 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.40 fof(f124,definition,(
% 0.13/0.40 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ13_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 sQ10_spl|sQ11_spl|~sQ9_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f59,f115,f118,f107,f63,f121,f124])).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ5_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f125,f80])).
% 0.13/0.40 fof(f130,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f76,f128])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f130])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f131])).
% 0.13/0.40 fof(f133,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f122,f72])).
% 0.13/0.40 fof(f136,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f68,f133])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f136])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f137])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f119,f92])).
% 0.13/0.40 fof(f141,plain,(
% 0.13/0.40 ~sk_c7=sk_c5|~inverse(sk_c3)=sk_c6|~sQ11_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f72,f119])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f100,f139])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 $false|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f142])).
% 0.13/0.40 fof(f144,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f143])).
% 0.13/0.40 fof(f147,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~sQ7_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f92,f32])).
% 0.13/0.40 fof(f152,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f116,f61])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f84,f152])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 $false|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f155])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 ~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f156])).
% 0.13/0.40 fof(f158,definition,(
% 0.13/0.40 sQ14_spl <=> (sk_c6=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|sQ14_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f158])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 $false|sQ14_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f160])).
% 0.13/0.40 fof(f163,plain,(
% 0.13/0.40 sQ14_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f162])).
% 0.13/0.40 fof(f167,definition,(
% 0.13/0.40 sQ16_spl <=> (sk_c5=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f169,plain,(
% 0.13/0.40 ~sk_c5=sk_c7|sQ16_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f167])).
% 0.13/0.40 fof(f173,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c1)=identity|~sQ6_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f84,f31])).
% 0.13/0.40 fof(f174,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c2)=identity|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f100,f31])).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f30,f177])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f64,f32])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c7,X0))|~sQ9_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f108,f32])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~sQ6_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f173,f32])).
% 0.13/0.40 fof(f182,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~sQ6_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f30,f181])).
% 0.13/0.40 fof(f183,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c2,X0))|~sQ8_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f174,f32])).
% 0.13/0.40 fof(f184,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c6,multiply(sk_c2,X0))|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f30,f183])).
% 0.13/0.40 fof(f189,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c6))=sk_c7|~identity=sk_c7|~sQ12_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f31,f122])).
% 0.13/0.40 fof(f190,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c7|~sk_c6=sk_c7|~sQ12_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f30,f122])).
% 0.13/0.40 fof(f193,definition,(
% 0.13/0.40 sQ17_spl <=> (inverse(inverse(sk_c6))=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f196,definition,(
% 0.13/0.40 sQ18_spl <=> (identity=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f197,plain,(
% 0.13/0.40 identity=sk_c7|~sQ18_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f196])).
% 0.13/0.40 fof(f198,plain,(
% 0.13/0.40 ~identity=sk_c7|sQ18_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f196])).
% 0.13/0.40 fof(f199,plain,(
% 0.13/0.40 ~sQ17_spl|~sQ18_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f189,f193,f196,f121])).
% 0.13/0.40 fof(f200,definition,(
% 0.13/0.40 sQ19_spl <=> (inverse(identity)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f201,plain,(
% 0.13/0.40 inverse(identity)=sk_c7|~sQ19_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f200])).
% 0.13/0.40 fof(f202,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c7|sQ19_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f200])).
% 0.13/0.40 fof(f203,definition,(
% 0.13/0.40 sQ20_spl <=> (sk_c6=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f205,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|sQ20_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f203])).
% 0.13/0.40 fof(f206,plain,(
% 0.13/0.40 ~sQ19_spl|~sQ20_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f190,f200,f203,f121])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=multiply(sk_c2,sk_c5)|~sQ7_spl|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f64,f147])).
% 0.13/0.40 fof(f217,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c2,sk_c5)|~sQ9_spl|~sQ7_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f108,f215])).
% 0.13/0.40 fof(f222,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f61,f182])).
% 0.13/0.40 fof(f236,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c7|~sk_c7=sk_c7|~sQ12_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f222,f122])).
% 0.13/0.40 fof(f240,definition,(
% 0.13/0.40 sQ21_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f242,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c7|sQ21_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f240])).
% 0.13/0.40 fof(f243,definition,(
% 0.13/0.40 sQ22_spl <=> (sk_c7=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|sQ22_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f243])).
% 0.13/0.40 fof(f246,plain,(
% 0.13/0.40 ~sQ21_spl|~sQ22_spl|~sQ12_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f236,f240,f243,f121,f83,f60])).
% 0.13/0.40 fof(f256,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f72,f178])).
% 0.13/0.40 fof(f257,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f222,f178])).
% 0.13/0.40 fof(f270,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f30,f178])).
% 0.13/0.40 fof(f278,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f68,f256])).
% 0.13/0.40 fof(f279,plain,(
% 0.13/0.40 sk_c6=identity|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f31,f257])).
% 0.13/0.40 fof(f290,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c2)=sk_c6|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f279,f174])).
% 0.13/0.40 fof(f293,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ6_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f279,f30])).
% 0.13/0.40 fof(f296,plain,(
% 0.13/0.40 sk_c7=sk_c5|~sQ6_spl|~sQ0_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f293,f64])).
% 0.13/0.40 fof(f309,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c6|~sQ13_spl|~sQ9_spl|~sQ7_spl|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f125,f217])).
% 0.13/0.40 fof(f310,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c6|~sk_c5=sk_c6|~sQ13_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f293,f125])).
% 0.13/0.40 fof(f313,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ13_spl|~sQ9_spl|~sQ7_spl|~sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f309,f99,f124,f107,f91,f63])).
% 0.13/0.40 fof(f314,definition,(
% 0.13/0.40 sQ23_spl <=> (inverse(sk_c6)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f316,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c6|sQ23_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f314])).
% 0.13/0.40 fof(f317,definition,(
% 0.13/0.40 sQ24_spl <=> (sk_c5=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f318,plain,(
% 0.13/0.40 sk_c5=sk_c6|~sQ24_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f317])).
% 0.13/0.40 fof(f319,plain,(
% 0.13/0.40 ~sk_c5=sk_c6|sQ24_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f317])).
% 0.13/0.40 fof(f320,plain,(
% 0.13/0.40 ~sQ23_spl|~sQ24_spl|~sQ13_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f310,f314,f317,f124,f83,f60])).
% 0.13/0.40 fof(f322,plain,(
% 0.13/0.40 $false|sQ22_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f245])).
% 0.13/0.40 fof(f323,plain,(
% 0.13/0.40 sQ22_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f322])).
% 0.13/0.40 fof(f324,plain,(
% 0.13/0.40 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f80,f178])).
% 0.13/0.40 fof(f326,plain,(
% 0.13/0.40 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f76,f324])).
% 0.13/0.40 fof(f334,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f270,f178])).
% 0.13/0.40 fof(f337,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~inverse(sk_c7)=sk_c7|~sQ10_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f278,f116])).
% 0.13/0.40 fof(f338,plain,(
% 0.13/0.40 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f30,f116])).
% 0.13/0.40 fof(f341,plain,(
% 0.13/0.40 ~sQ14_spl|~sQ21_spl|~sQ10_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f337,f158,f240,f115,f67,f71])).
% 0.13/0.40 fof(f342,plain,(
% 0.13/0.40 ~sQ20_spl|~sQ19_spl|~sQ10_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f338,f203,f200,f115])).
% 0.13/0.40 fof(f343,definition,(
% 0.13/0.40 sQ25_spl <=> (inverse(inverse(identity))=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 ~inverse(inverse(identity))=sk_c7|sQ25_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f343])).
% 0.13/0.40 fof(f429,plain,(
% 0.13/0.40 inverse(identity)=identity),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f31,f334])).
% 0.13/0.40 fof(f436,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c7|sQ25_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f429,f345])).
% 0.13/0.40 fof(f438,plain,(
% 0.13/0.40 ~identity=sk_c7|sQ19_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f429,f202])).
% 0.13/0.40 fof(f443,plain,(
% 0.13/0.40 ~identity=sk_c7|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f429,f436])).
% 0.13/0.40 fof(f455,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f278,f179])).
% 0.13/0.40 fof(f459,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f326,f455])).
% 0.13/0.40 fof(f463,plain,(
% 0.13/0.40 ~sk_c5=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f459,f109])).
% 0.13/0.40 fof(f465,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f459,f178])).
% 0.13/0.40 fof(f468,plain,(
% 0.13/0.40 sk_c7=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f31,f465])).
% 0.13/0.40 fof(f469,plain,(
% 0.13/0.40 $false|sQ18_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f468,f198])).
% 0.13/0.40 fof(f470,plain,(
% 0.13/0.40 sQ18_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f469])).
% 0.13/0.40 fof(f471,plain,(
% 0.13/0.40 ~sQ18_spl|sQ19_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f438,f196,f200])).
% 0.13/0.40 fof(f472,plain,(
% 0.13/0.40 ~sQ18_spl|sQ25_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f443,f196,f343])).
% 0.13/0.40 fof(f474,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|~sQ6_spl|~sQ0_spl|sQ18_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f279,f198])).
% 0.13/0.40 fof(f495,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c2,X0)|~sQ6_spl|~sQ0_spl|~sQ8_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f293,f184])).
% 0.13/0.40 fof(f519,plain,(
% 0.13/0.40 ~sk_c7=sk_c5|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f293,f65])).
% 0.13/0.40 fof(f523,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f528,f108])).
% 0.13/0.40 fof(f525,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f528,f293])).
% 0.13/0.40 fof(f528,plain,(
% 0.13/0.40 sk_c6=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f495,f92])).
% 0.13/0.40 fof(f530,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ24_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f528,f319])).
% 0.13/0.40 fof(f531,plain,(
% 0.13/0.40 $false|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ24_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f530])).
% 0.13/0.40 fof(f532,plain,(
% 0.13/0.40 ~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ24_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f531])).
% 0.13/0.40 fof(f533,plain,(
% 0.13/0.40 ~sk_c5=sk_c7|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ18_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f528,f474])).
% 0.13/0.40 fof(f543,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c2)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f528,f290])).
% 0.13/0.40 fof(f544,plain,(
% 0.13/0.40 sk_c2=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f545,f528])).
% 0.13/0.40 fof(f545,plain,(
% 0.13/0.40 sk_c2=sk_c6|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f525,f543])).
% 0.13/0.40 fof(f550,plain,(
% 0.13/0.40 ~sk_c2=sk_c7|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ18_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f544,f533])).
% 0.13/0.40 fof(f577,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f544,f523])).
% 0.13/0.40 fof(f578,plain,(
% 0.13/0.40 sk_c7=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f495,f577])).
% 0.13/0.40 fof(f579,plain,(
% 0.13/0.40 sk_c7=sk_c2|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f544,f578])).
% 0.13/0.40 fof(f580,plain,(
% 0.13/0.40 $false|sQ18_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f579,f550])).
% 0.13/0.40 fof(f581,plain,(
% 0.13/0.40 sQ18_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f580])).
% 0.13/0.40 fof(f583,plain,(
% 0.13/0.40 sk_c7=sk_c6|~sQ6_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f279,f468])).
% 0.13/0.40 fof(f584,plain,(
% 0.13/0.40 sk_c5=sk_c6|~sQ6_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f296,f583])).
% 0.13/0.40 fof(f585,plain,(
% 0.13/0.40 $false|sQ9_spl|~sQ6_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f584,f463])).
% 0.13/0.40 fof(f586,plain,(
% 0.13/0.40 sQ9_spl|~sQ6_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f585])).
% 0.13/0.40 fof(f592,definition,(
% 0.13/0.40 sQ28_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f594,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c6|sQ28_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f592])).
% 0.13/0.40 fof(f595,plain,(
% 0.13/0.40 ~sQ16_spl|~sQ28_spl|~sQ11_spl|~sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f141,f167,f592,f118,f71])).
% 0.13/0.40 fof(f596,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ6_spl|~sQ0_spl|~sQ1_spl|sQ16_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f296,f169])).
% 0.13/0.40 fof(f597,plain,(
% 0.13/0.40 $false|~sQ6_spl|~sQ0_spl|~sQ1_spl|sQ16_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f596])).
% 0.13/0.40 fof(f598,plain,(
% 0.13/0.40 ~sQ6_spl|~sQ0_spl|~sQ1_spl|sQ16_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f597])).
% 0.13/0.40 fof(f599,plain,(
% 0.13/0.40 sk_c6=sk_c7|~sQ6_spl|~sQ0_spl|~sQ18_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f279,f197])).
% 0.13/0.40 fof(f603,plain,(
% 0.13/0.40 ~sk_c6=sk_c5|~sQ18_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f599,f519])).
% 0.13/0.40 fof(f604,plain,(
% 0.13/0.40 $false|~sQ18_spl|~sQ6_spl|~sQ0_spl|sQ1_spl|~sQ24_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f318,f603])).
% 0.13/0.40 fof(f605,plain,(
% 0.13/0.40 ~sQ18_spl|~sQ6_spl|~sQ0_spl|sQ1_spl|~sQ24_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f604])).
% 0.13/0.40 fof(f664,definition,(
% 0.13/0.40 sQ29_spl <=> (sk_c5=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f666,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|sQ29_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f664])).
% 0.13/0.40 fof(f702,plain,(
% 0.13/0.40 $false|sQ29_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f666])).
% 0.13/0.40 fof(f703,plain,(
% 0.13/0.40 sQ29_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f702])).
% 0.13/0.40 fof(f712,plain,(
% 0.13/0.40 inverse(sk_c7)=sk_c7|~sQ18_spl|~sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f197,f201])).
% 0.13/0.41 fof(f713,plain,(
% 0.13/0.41 $false|sQ21_spl|~sQ18_spl|~sQ19_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f712,f242])).
% 0.13/0.41 fof(f714,plain,(
% 0.13/0.41 sQ21_spl|~sQ18_spl|~sQ19_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f713])).
% 0.13/0.41 fof(f716,plain,(
% 0.13/0.41 inverse(sk_c7)=identity|~sQ18_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f197,f429])).
% 0.13/0.41 fof(f717,plain,(
% 0.13/0.41 inverse(sk_c7)=sk_c7|~sQ18_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f197,f716])).
% 0.13/0.41 fof(f728,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ18_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f197,f30])).
% 0.13/0.41 fof(f732,plain,(
% 0.13/0.41 sk_c6=sk_c7|~sQ18_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f728,f278])).
% 0.13/0.41 fof(f733,plain,(
% 0.13/0.41 $false|sQ20_spl|~sQ18_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f732,f205])).
% 0.13/0.41 fof(f734,plain,(
% 0.13/0.41 sQ20_spl|~sQ18_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f733])).
% 0.13/0.41 fof(f736,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ2_spl|~sQ3_spl|~sQ18_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f732,f728])).
% 0.13/0.41 fof(f740,plain,(
% 0.13/0.41 inverse(sk_c7)=sk_c6|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f732,f717])).
% 0.13/0.41 fof(f741,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c6|~sQ18_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f732,f68])).
% 0.13/0.41 fof(f745,plain,(
% 0.13/0.41 identity=sk_c6|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f732,f197])).
% 0.13/0.41 fof(f746,plain,(
% 0.13/0.41 inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f732,f740])).
% 0.13/0.41 fof(f747,plain,(
% 0.13/0.41 $false|sQ23_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f746,f316])).
% 0.13/0.41 fof(f748,plain,(
% 0.13/0.41 sQ23_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f747])).
% 0.13/0.41 fof(f749,plain,(
% 0.13/0.41 sk_c5=sk_c6|~sQ2_spl|~sQ3_spl|~sQ18_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f736,f326])).
% 0.13/0.41 fof(f752,plain,(
% 0.13/0.41 sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f749,f317,f67,f71,f196,f75,f79])).
% 0.13/0.41 fof(f753,plain,(
% 0.13/0.41 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ9_spl|~sQ24_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f318,f463])).
% 0.13/0.41 fof(f754,plain,(
% 0.13/0.41 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ9_spl|~sQ24_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f753])).
% 0.13/0.41 fof(f758,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c5,multiply(sk_c7,X0))|~sQ2_spl|~sQ3_spl|~sQ18_spl|~sQ9_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f736,f180])).
% 0.13/0.41 fof(f759,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c5,multiply(sk_c6,X0))|~sQ2_spl|~sQ3_spl|~sQ18_spl|~sQ9_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f732,f758])).
% 0.13/0.41 fof(f760,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c5,X0)|~sQ2_spl|~sQ3_spl|~sQ18_spl|~sQ9_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f736,f759])).
% 0.13/0.41 fof(f766,plain,(
% 0.13/0.41 identity=sk_c5|~sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f318,f745])).
% 0.13/0.41 fof(f767,plain,(
% 0.13/0.41 sk_c5=sk_c7|~sQ24_spl|~sQ18_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f318,f732])).
% 0.13/0.41 fof(f771,plain,(
% 0.13/0.41 sQ16_spl|~sQ24_spl|~sQ18_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f767,f167,f317,f196,f67,f71])).
% 0.13/0.41 fof(f772,plain,(
% 0.13/0.41 ~inverse(sk_c3)=sk_c5|~sQ24_spl|sQ28_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f318,f594])).
% 0.13/0.41 fof(f774,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c5|~sQ24_spl|~sQ18_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f318,f741])).
% 0.13/0.41 fof(f776,plain,(
% 0.13/0.41 inverse(sk_c5)=sk_c6|~sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f318,f746])).
% 0.13/0.41 fof(f777,plain,(
% 0.13/0.41 inverse(sk_c5)=sk_c5|~sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f318,f776])).
% 0.13/0.41 fof(f784,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f766,f31])).
% 0.13/0.41 fof(f786,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c3)=sk_c5|~sQ24_spl|~sQ18_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f774,f784])).
% 0.13/0.41 fof(f789,plain,(
% 0.13/0.41 sk_c3=sk_c5|~sQ9_spl|~sQ24_spl|~sQ18_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f760,f786])).
% 0.13/0.41 fof(f808,plain,(
% 0.13/0.41 inverse(sk_c5)=sk_c3|~sQ9_spl|~sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f789,f777])).
% 0.13/0.41 fof(f816,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c3|~sQ9_spl|~sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f789,f808])).
% 0.13/0.41 fof(f826,plain,(
% 0.13/0.41 ~inverse(sk_c3)=sk_c3|~sQ9_spl|~sQ18_spl|~sQ3_spl|~sQ2_spl|~sQ24_spl|sQ28_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f789,f772])).
% 0.13/0.41 fof(f829,plain,(
% 0.13/0.41 $false|sQ28_spl|~sQ9_spl|~sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f816,f826])).
% 0.13/0.41 fof(f830,plain,(
% 0.13/0.41 sQ28_spl|~sQ9_spl|~sQ24_spl|~sQ2_spl|~sQ3_spl|~sQ18_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f829])).
% 0.13/0.41 fof(f831,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 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,f127,f132,f138,f144,f157,f163,f199,f206,f246,f313,f320,f323,f341,f342,f470,f471,f472,f532,f581,f586,f595,f598,f605,f703,f714,f734,f748,f752,f754,f771,f830])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.065089 seconds
% 0.13/0.43 % CPU time: 0.255409 seconds
% 0.13/0.43 % Total memory used: 105.865 MB
% 0.13/0.43 % Net memory used: 105.567 MB
%------------------------------------------------------------------------------