%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP270-1 : 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 : n006.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 12:36:21 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP270-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:07:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,axiom,(
% 0.10/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f7,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f8,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f9,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f13,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f14,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f15,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f16,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f17,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f18,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f21,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f22,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f23,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f24,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f25,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f26,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f27,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f29,negated_conjecture,(
% 0.10/0.40 (![X3,X4,X1,X2]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(X4,sk_c7) != sk_c5| 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 ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f30,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f31,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f32,plain,(
% 0.10/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f33,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f34,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f35,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f36,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f39,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f40,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.40 fof(f43,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.40 fof(f44,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f45,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.40 fof(f46,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.40 fof(f47,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.40 fof(f49,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.40 fof(f50,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.40 fof(f51,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.40 fof(f52,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.40 fof(f53,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.40 fof(f54,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.40 fof(f56,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 ![X2]: (((![X1]: ((((![X4]: ((((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(X4,sk_c7)=sk_c5)|~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)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f29])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(X1,sk_c7)=sk_c5|~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)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f60,definition,(
% 0.10/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f60])).
% 0.10/0.40 fof(f63,definition,(
% 0.10/0.40 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.10/0.40 fof(f66,plain,(
% 0.10/0.40 sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.10/0.40 fof(f67,definition,(
% 0.10/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f68,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.10/0.40 fof(f70,plain,(
% 0.10/0.40 sQ0_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.10/0.40 fof(f71,definition,(
% 0.10/0.40 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f72,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.10/0.40 fof(f74,plain,(
% 0.10/0.40 sQ0_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.10/0.40 fof(f75,definition,(
% 0.10/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f76,plain,(
% 0.10/0.40 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f75])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 sQ0_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.10/0.40 fof(f79,definition,(
% 0.10/0.40 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f80,plain,(
% 0.10/0.40 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f79])).
% 0.10/0.40 fof(f82,plain,(
% 0.10/0.40 sQ0_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.10/0.40 fof(f83,definition,(
% 0.10/0.40 sQ6_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f84,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|~sQ6_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.10/0.40 fof(f86,plain,(
% 0.10/0.40 sQ6_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.10/0.40 fof(f87,plain,(
% 0.10/0.40 sQ6_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.10/0.40 fof(f88,plain,(
% 0.10/0.40 sQ6_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.10/0.40 fof(f89,plain,(
% 0.10/0.40 sQ6_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.10/0.40 fof(f90,plain,(
% 0.10/0.40 sQ6_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.10/0.40 fof(f91,definition,(
% 0.10/0.40 sQ7_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f92,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c5)=sk_c6|~sQ7_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f91])).
% 0.10/0.40 fof(f93,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c5)=sk_c6|sQ7_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f91])).
% 0.10/0.40 fof(f94,plain,(
% 0.10/0.40 sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.10/0.40 fof(f95,plain,(
% 0.10/0.40 sQ7_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.10/0.40 fof(f96,plain,(
% 0.10/0.40 sQ7_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.10/0.40 fof(f97,plain,(
% 0.10/0.40 sQ7_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.10/0.40 fof(f98,plain,(
% 0.10/0.40 sQ7_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.10/0.40 fof(f99,definition,(
% 0.10/0.40 sQ8_spl <=> (multiply(sk_c2,sk_c7)=sk_c5)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f100,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c5|~sQ8_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.10/0.40 fof(f102,plain,(
% 0.10/0.40 sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.10/0.40 fof(f103,plain,(
% 0.10/0.40 sQ8_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.10/0.40 fof(f104,plain,(
% 0.10/0.40 sQ8_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.10/0.40 fof(f105,plain,(
% 0.10/0.40 sQ8_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.10/0.40 fof(f106,plain,(
% 0.10/0.40 sQ8_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.10/0.40 fof(f107,definition,(
% 0.10/0.40 sQ9_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f108,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|~sQ9_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.10/0.40 fof(f110,plain,(
% 0.10/0.40 sQ9_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.10/0.40 fof(f111,plain,(
% 0.10/0.40 sQ9_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.10/0.40 fof(f112,plain,(
% 0.10/0.40 sQ9_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.10/0.40 fof(f113,plain,(
% 0.10/0.40 sQ9_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.10/0.40 fof(f114,plain,(
% 0.10/0.40 sQ9_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.10/0.40 fof(f115,definition,(
% 0.10/0.40 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f116,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.10/0.40 fof(f118,definition,(
% 0.10/0.40 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f119,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.40 fof(f121,definition,(
% 0.10/0.40 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f122,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.10/0.40 fof(f124,definition,(
% 0.10/0.40 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f125,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ13_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.10/0.40 fof(f127,plain,(
% 0.10/0.40 sQ10_spl|~sQ7_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f59,f115,f91,f118,f63,f121,f124])).
% 0.10/0.40 fof(f133,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~sQ3_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f72,f32])).
% 0.10/0.40 fof(f136,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c1)=identity|~sQ6_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f84,f31])).
% 0.10/0.40 fof(f137,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c3)=identity|~sQ2_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f68,f31])).
% 0.10/0.40 fof(f138,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c4)=identity|~sQ4_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f76,f31])).
% 0.10/0.40 fof(f139,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c2)=identity|~sQ9_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.10/0.40 fof(f140,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.10/0.40 fof(f141,plain,(
% 0.10/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f140])).
% 0.10/0.40 fof(f143,plain,(
% 0.10/0.40 ~inverse(sk_c7)=sk_c6|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f125,f92])).
% 0.10/0.40 fof(f144,plain,(
% 0.10/0.40 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ5_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f125,f80])).
% 0.10/0.40 fof(f145,plain,(
% 0.10/0.40 ~inverse(sk_c7)=sk_c6|~sk_c6=sk_c6|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f92,f125])).
% 0.10/0.40 fof(f150,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f76,f144])).
% 0.10/0.40 fof(f151,plain,(
% 0.10/0.40 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f150])).
% 0.10/0.40 fof(f152,plain,(
% 0.10/0.40 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f151])).
% 0.10/0.40 fof(f153,plain,(
% 0.10/0.40 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f122,f72])).
% 0.10/0.40 fof(f155,plain,(
% 0.10/0.40 ~inverse(identity)=sk_c7|~sk_c6=sk_c7|~sQ12_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f30,f122])).
% 0.10/0.40 fof(f158,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f68,f153])).
% 0.10/0.40 fof(f159,plain,(
% 0.10/0.40 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f158])).
% 0.10/0.40 fof(f160,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f159])).
% 0.10/0.40 fof(f161,plain,(
% 0.10/0.40 ~inverse(sk_c2)=sk_c7|~sQ11_spl|~sQ8_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f119,f100])).
% 0.10/0.40 fof(f167,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f108,f161])).
% 0.10/0.40 fof(f168,plain,(
% 0.10/0.40 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f167])).
% 0.10/0.40 fof(f169,plain,(
% 0.10/0.40 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f168])).
% 0.10/0.40 fof(f170,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ0_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f116,f61])).
% 0.10/0.40 fof(f175,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f84,f170])).
% 0.10/0.40 fof(f176,plain,(
% 0.10/0.40 $false|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f175])).
% 0.10/0.40 fof(f177,plain,(
% 0.10/0.40 ~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f176])).
% 0.10/0.40 fof(f185,definition,(
% 0.10/0.40 sQ16_spl <=> (sk_c7=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f187,plain,(
% 0.10/0.40 ~sk_c7=sk_c6|sQ16_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f185])).
% 0.10/0.40 fof(f188,definition,(
% 0.10/0.40 sQ17_spl <=> (inverse(identity)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f190,plain,(
% 0.10/0.40 ~inverse(identity)=sk_c7|sQ17_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f188])).
% 0.10/0.40 fof(f192,definition,(
% 0.10/0.40 sQ18_spl <=> (sk_c6=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f194,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|sQ18_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f192])).
% 0.10/0.40 fof(f196,plain,(
% 0.10/0.40 $false|sQ18_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f194])).
% 0.10/0.40 fof(f197,plain,(
% 0.10/0.40 sQ18_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f196])).
% 0.10/0.40 fof(f212,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c5)|~sQ3_spl|~sQ1_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f64,f133])).
% 0.10/0.40 fof(f216,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~sQ9_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f139,f32])).
% 0.10/0.40 fof(f217,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~sQ9_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f216])).
% 0.10/0.40 fof(f218,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f137,f32])).
% 0.10/0.40 fof(f219,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f218])).
% 0.10/0.40 fof(f221,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f138,f32])).
% 0.10/0.40 fof(f222,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f221])).
% 0.10/0.40 fof(f225,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c7,X0))|~sQ2_spl|~sQ3_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f133,f219])).
% 0.10/0.40 fof(f226,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f72,f219])).
% 0.10/0.40 fof(f231,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f80,f222])).
% 0.10/0.40 fof(f244,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c3,sk_c5)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f226,f212])).
% 0.10/0.40 fof(f300,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c6)=multiply(sk_c3,sk_c5)|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f231,f133])).
% 0.10/0.40 fof(f302,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f244,f300])).
% 0.10/0.40 fof(f338,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c6)=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f302,f225])).
% 0.10/0.40 fof(f343,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f231,f338])).
% 0.10/0.40 fof(f344,plain,(
% 0.10/0.40 sk_c5=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f302,f343])).
% 0.10/0.40 fof(f353,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c3,sk_c6)|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f344,f244])).
% 0.10/0.40 fof(f356,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f344,f93])).
% 0.10/0.40 fof(f361,plain,(
% 0.10/0.40 sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f72,f353])).
% 0.10/0.40 fof(f362,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f302,f356])).
% 0.10/0.40 fof(f363,plain,(
% 0.10/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f362])).
% 0.10/0.40 fof(f364,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f363])).
% 0.10/0.40 fof(f367,plain,(
% 0.10/0.40 sk_c5=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f361,f344])).
% 0.10/0.40 fof(f375,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f361,f72])).
% 0.10/0.40 fof(f403,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f367,f119])).
% 0.10/0.40 fof(f404,plain,(
% 0.10/0.40 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f403,f375])).
% 0.10/0.40 fof(f414,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f404,f67,f118,f75,f79,f63,f71])).
% 0.10/0.40 fof(f419,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ10_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f361,f116])).
% 0.10/0.40 fof(f421,plain,(
% 0.10/0.40 ~inverse(sk_c3)=sk_c7|~sQ10_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f419,f375])).
% 0.10/0.40 fof(f431,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ10_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f421,f67,f115,f75,f79,f63,f71])).
% 0.10/0.40 fof(f435,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c7,sk_c5)|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f100,f217])).
% 0.10/0.40 fof(f437,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ0_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f61,f32])).
% 0.10/0.40 fof(f462,plain,(
% 0.10/0.40 sk_c7=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f435,f92])).
% 0.10/0.40 fof(f474,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c7)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f462,f65])).
% 0.10/0.40 fof(f483,plain,(
% 0.10/0.40 sk_c5=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f435,f141])).
% 0.10/0.40 fof(f494,plain,(
% 0.10/0.40 sk_c5=identity|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f31,f483])).
% 0.10/0.40 fof(f498,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c7)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f494,f474])).
% 0.10/0.40 fof(f502,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=identity|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f494,f100])).
% 0.10/0.40 fof(f509,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f462,f437])).
% 0.10/0.40 fof(f511,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,multiply(sk_c2,X0))=multiply(sk_c1,X0)|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f217,f509])).
% 0.10/0.40 fof(f516,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c1,X0)|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f217,f511])).
% 0.10/0.40 fof(f526,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(inverse(sk_c1),X0)|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f516,f141])).
% 0.10/0.40 fof(f528,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c7,X0)|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f84,f526])).
% 0.10/0.40 fof(f529,plain,(
% 0.10/0.40 ~sk_c7=identity|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f528,f498])).
% 0.10/0.40 fof(f530,plain,(
% 0.10/0.40 sk_c1=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f528,f136])).
% 0.10/0.40 fof(f532,plain,(
% 0.10/0.40 sk_c2=identity|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f528,f139])).
% 0.10/0.40 fof(f536,plain,(
% 0.10/0.40 inverse(identity)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f530,f84])).
% 0.10/0.40 fof(f537,plain,(
% 0.10/0.40 $false|sQ17_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f536,f190])).
% 0.10/0.40 fof(f538,plain,(
% 0.10/0.40 sQ17_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f537])).
% 0.10/0.40 fof(f539,plain,(
% 0.10/0.40 multiply(identity,sk_c7)=identity|~sQ6_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f532,f502])).
% 0.10/0.40 fof(f541,plain,(
% 0.10/0.40 sk_c7=identity|~sQ6_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f539])).
% 0.10/0.40 fof(f562,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c7)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f462,f64])).
% 0.10/0.40 fof(f563,plain,(
% 0.10/0.40 sk_c7=sk_c5|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f528,f562])).
% 0.10/0.40 fof(f564,plain,(
% 0.10/0.40 sk_c7=identity|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f494,f563])).
% 0.10/0.40 fof(f573,plain,(
% 0.10/0.40 ~sQ17_spl|~sQ16_spl|~sQ12_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f155,f188,f185,f121])).
% 0.10/0.40 fof(f578,definition,(
% 0.10/0.40 sQ25_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f581,plain,(
% 0.10/0.40 ~sQ25_spl|~sQ18_spl|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f145,f578,f192,f124,f91])).
% 0.10/0.40 fof(f593,plain,(
% 0.10/0.40 ~inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f462,f143])).
% 0.10/0.40 fof(f601,plain,(
% 0.10/0.40 inverse(identity)=identity|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f564,f536])).
% 0.10/0.40 fof(f604,plain,(
% 0.10/0.40 identity=sk_c6|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f564,f462])).
% 0.10/0.40 fof(f615,definition,(
% 0.10/0.40 sQ29_spl <=> (identity=identity)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f617,plain,(
% 0.10/0.40 ~identity=identity|sQ29_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f615])).
% 0.10/0.40 fof(f623,plain,(
% 0.10/0.40 $false|sQ29_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f617])).
% 0.10/0.40 fof(f624,plain,(
% 0.10/0.40 sQ29_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f623])).
% 0.10/0.40 fof(f630,plain,(
% 0.10/0.40 ~inverse(identity)=sk_c7|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f564,f593])).
% 0.10/0.40 fof(f631,plain,(
% 0.10/0.40 ~identity=sk_c7|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f601,f630])).
% 0.10/0.40 fof(f632,plain,(
% 0.10/0.40 ~identity=identity|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f564,f631])).
% 0.10/0.40 fof(f633,plain,(
% 0.10/0.40 $false|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f632])).
% 0.10/0.40 fof(f634,plain,(
% 0.10/0.40 ~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ7_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f633])).
% 0.10/0.40 fof(f647,plain,(
% 0.10/0.40 ~identity=sk_c6|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl|sQ16_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f564,f187])).
% 0.10/0.40 fof(f648,plain,(
% 0.10/0.40 ~identity=identity|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl|sQ16_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f604,f647])).
% 0.10/0.40 fof(f649,plain,(
% 0.10/0.40 $false|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl|sQ16_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f648])).
% 0.10/0.40 fof(f650,plain,(
% 0.10/0.40 ~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl|sQ16_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f649])).
% 0.10/0.40 fof(f652,plain,(
% 0.10/0.40 ~identity=identity|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f541,f529])).
% 0.10/0.40 fof(f653,plain,(
% 0.10/0.40 $false|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f652])).
% 0.10/0.40 fof(f654,plain,(
% 0.10/0.40 ~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f653])).
% 0.10/0.40 fof(f655,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 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,f152,f160,f169,f177,f197,f364,f414,f431,f538,f573,f581,f624,f634,f650,f654])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.052082 seconds
% 0.14/0.42 % CPU time: 0.172518 seconds
% 0.14/0.42 % Total memory used: 72.068 MB
% 0.14/0.42 % Net memory used: 71.891 MB
%------------------------------------------------------------------------------