%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP334-1 : 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 12:36:28 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP334-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:09:12 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % 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_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_c6) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 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_c6) = sk_c7| inverse(sk_c7) = sk_c5 ) ),
% 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_c6) = sk_c7| multiply(sk_c6,sk_c4) = sk_c5 ) ),
% 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_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c4 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 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_c6| inverse(sk_c6) = sk_c5 ) ),
% 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_c6| inverse(sk_c7) = sk_c5 ) ),
% 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_c6| multiply(sk_c6,sk_c4) = sk_c5 ) ),
% 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_c6| multiply(sk_c3,sk_c6) = sk_c4 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f16,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c7) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f17,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c4) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f18,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c4 ) ),
% 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| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f21,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c7) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c6,sk_c4) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f23,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c4 ) ),
% 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_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f25,negated_conjecture,(
% 0.13/0.40 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| multiply(X3,sk_c6) != sk_c7| inverse(X3) != sk_c6| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| inverse(sk_c6) != sk_c5| inverse(sk_c7) != sk_c5| multiply(sk_c6,X1) != sk_c5| multiply(X2,sk_c6) != X1| inverse(X2) != sk_c6 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f26,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(f27,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(f28,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(f29,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c6,sk_c4)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c4),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c6|inverse(sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 ![X2]: ((![X1]: (((((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X3,sk_c6)=sk_c7)|~inverse(X3)=sk_c6))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~inverse(sk_c6)=sk_c5)|~inverse(sk_c7)=sk_c5)|~multiply(sk_c6,X1)=sk_c5)|~multiply(X2,sk_c6)=X1))|~inverse(X2)=sk_c6)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f25])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~inverse(sk_c6)=sk_c5|~inverse(sk_c7)=sk_c5|~multiply(sk_c6,X2)=sk_c5|~multiply(X3,sk_c6)=X2|~inverse(X3)=sk_c6)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.40 fof(f52,definition,(
% 0.13/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c6)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c6)=sk_c7|~sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.13/0.40 fof(f55,definition,(
% 0.13/0.40 sQ1_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 inverse(sk_c6)=sk_c5|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c5|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f30,f52,f55])).
% 0.13/0.40 fof(f59,definition,(
% 0.13/0.40 sQ2_spl <=> (inverse(sk_c7)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 inverse(sk_c7)=sk_c5|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c5|sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f31,f52,f59])).
% 0.13/0.40 fof(f63,definition,(
% 0.13/0.40 sQ3_spl <=> (multiply(sk_c6,sk_c4)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c4)=sk_c5|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 sQ0_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f32,f52,f63])).
% 0.13/0.40 fof(f67,definition,(
% 0.13/0.40 sQ4_spl <=> (multiply(sk_c3,sk_c6)=sk_c4)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c6)=sk_c4|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 sQ0_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f33,f52,f67])).
% 0.13/0.40 fof(f71,definition,(
% 0.13/0.40 sQ5_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c6|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 sQ0_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f34,f52,f71])).
% 0.13/0.40 fof(f75,definition,(
% 0.13/0.40 sQ6_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c6|~sQ6_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f75])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f35,f75,f55])).
% 0.13/0.40 fof(f79,plain,(
% 0.13/0.40 sQ6_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f36,f75,f59])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 sQ6_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f37,f75,f63])).
% 0.13/0.40 fof(f81,plain,(
% 0.13/0.40 sQ6_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f38,f75,f67])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 sQ6_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f39,f75,f71])).
% 0.13/0.40 fof(f83,definition,(
% 0.13/0.40 sQ7_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|~sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 sQ7_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f40,f83,f55])).
% 0.13/0.40 fof(f87,plain,(
% 0.13/0.40 sQ7_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f41,f83,f59])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 sQ7_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f42,f83,f63])).
% 0.13/0.40 fof(f89,plain,(
% 0.13/0.40 sQ7_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f43,f83,f67])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 sQ7_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f44,f83,f71])).
% 0.13/0.40 fof(f91,definition,(
% 0.13/0.40 sQ8_spl <=> (multiply(sk_c2,sk_c5)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c5)=sk_c6|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f45,f91,f55])).
% 0.13/0.40 fof(f95,plain,(
% 0.13/0.40 sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f46,f91,f59])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sQ8_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f47,f91,f63])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 sQ8_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f48,f91,f67])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 sQ8_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f49,f91,f71])).
% 0.13/0.40 fof(f99,definition,(
% 0.13/0.40 sQ9_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 ~multiply(sk_c6,sk_c7)=sk_c5|sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.40 fof(f102,definition,(
% 0.13/0.40 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ10_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f102])).
% 0.13/0.40 fof(f105,definition,(
% 0.13/0.40 ![X1]: (sQ11_spl <=> (~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ11_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.40 fof(f108,definition,(
% 0.13/0.40 ![X2,X3]: (sQ12_spl <=> (~multiply(sk_c6,X2)=sk_c5|~multiply(X3,sk_c6)=X2|~inverse(X3)=sk_c6))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f109,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(sk_c6,X0)=sk_c5|~multiply(X1,sk_c6)=X0|~inverse(X1)=sk_c6|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 ~sQ9_spl|sQ10_spl|sQ11_spl|~sQ1_spl|~sQ2_spl|sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f51,f99,f102,f105,f55,f59,f108])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f26,f121])).
% 0.13/0.40 fof(f129,plain,(
% 0.13/0.40 ![X0]: (~sk_c5=sk_c5|~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f29,f109])).
% 0.13/0.40 fof(f130,definition,(
% 0.13/0.40 sQ13_spl <=> (sk_c5=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|sQ13_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f130])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ~sQ13_spl|sQ10_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f129,f130,f102,f108])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 $false|sQ13_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f132])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 sQ13_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f138])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c6|~sQ10_spl|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f103,f53])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f27,f103])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f76,f142])).
% 0.13/0.40 fof(f149,plain,(
% 0.13/0.40 $false|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.13/0.40 fof(f150,plain,(
% 0.13/0.40 ~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f149])).
% 0.13/0.40 fof(f155,definition,(
% 0.13/0.40 sQ16_spl <=> (identity=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 identity=sk_c7|~sQ16_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f155])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 ~identity=sk_c7|sQ16_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f155])).
% 0.13/0.40 fof(f158,definition,(
% 0.13/0.40 sQ17_spl <=> (inverse(inverse(sk_c6))=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c6))=sk_c6|sQ17_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f158])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 ~sQ16_spl|~sQ17_spl|~sQ10_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f145,f155,f158,f102])).
% 0.13/0.40 fof(f165,definition,(
% 0.13/0.40 sQ19_spl <=> (inverse(identity)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f167,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c6|sQ19_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f165])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c3),sk_c4)|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f68,f122])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f26,f122])).
% 0.13/0.40 fof(f188,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c6,sk_c4)|~sQ5_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f72,f178])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 sk_c6=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f188,f64])).
% 0.13/0.40 fof(f233,plain,(
% 0.13/0.40 inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f223,f56])).
% 0.13/0.40 fof(f234,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c7)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f223,f29])).
% 0.13/0.40 fof(f255,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f234,f122])).
% 0.13/0.40 fof(f257,plain,(
% 0.13/0.40 sk_c7=identity|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f27,f255])).
% 0.13/0.40 fof(f258,plain,(
% 0.13/0.40 $false|sQ16_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f257,f157])).
% 0.13/0.40 fof(f259,plain,(
% 0.13/0.40 sQ16_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f258])).
% 0.13/0.40 fof(f260,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|sQ17_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f233,f160])).
% 0.13/0.40 fof(f261,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|sQ17_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f233,f260])).
% 0.13/0.40 fof(f262,plain,(
% 0.13/0.40 $false|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|sQ17_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f261])).
% 0.13/0.40 fof(f263,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|sQ17_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f262])).
% 0.13/0.40 fof(f266,plain,(
% 0.13/0.40 sk_c5=multiply(inverse(sk_c2),sk_c6)|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f92,f122])).
% 0.13/0.40 fof(f268,plain,(
% 0.13/0.40 sk_c5=multiply(sk_c6,sk_c6)|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f84,f266])).
% 0.13/0.40 fof(f269,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f106,f92])).
% 0.13/0.40 fof(f272,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c5))=sk_c6|~identity=sk_c6|~sQ11_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f27,f106])).
% 0.13/0.40 fof(f273,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c6|~sk_c5=sk_c6|~sQ11_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f26,f106])).
% 0.13/0.40 fof(f275,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f84,f269])).
% 0.13/0.40 fof(f276,plain,(
% 0.13/0.40 $false|~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f275])).
% 0.13/0.40 fof(f277,plain,(
% 0.13/0.40 ~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f276])).
% 0.13/0.40 fof(f278,plain,(
% 0.13/0.40 ~multiply(sk_c6,identity)=sk_c5|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f156,f101])).
% 0.13/0.40 fof(f279,plain,(
% 0.13/0.40 ~multiply(sk_c6,identity)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f223,f278])).
% 0.13/0.40 fof(f282,plain,(
% 0.13/0.40 inverse(identity)=sk_c5|~sQ16_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f156,f60])).
% 0.13/0.40 fof(f284,plain,(
% 0.13/0.40 inverse(identity)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ16_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f223,f282])).
% 0.13/0.40 fof(f288,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c6)=identity|~sQ16_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f156,f53])).
% 0.13/0.40 fof(f289,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c1),identity)|~sQ16_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f288,f122])).
% 0.13/0.40 fof(f290,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c1,multiply(sk_c6,X0))|~sQ16_spl|~sQ0_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f288,f28])).
% 0.13/0.40 fof(f291,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c6,identity)|~sQ6_spl|~sQ16_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f76,f289])).
% 0.13/0.40 fof(f294,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c1,multiply(sk_c6,X0))|~sQ16_spl|~sQ0_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f26,f290])).
% 0.13/0.40 fof(f298,definition,(
% 0.13/0.40 sQ22_spl <=> (sk_c5=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f300,plain,(
% 0.13/0.40 ~sk_c5=sk_c6|sQ22_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f298])).
% 0.13/0.40 fof(f302,definition,(
% 0.13/0.40 sQ23_spl <=> (inverse(inverse(sk_c5))=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f305,definition,(
% 0.13/0.40 sQ24_spl <=> (identity=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f307,plain,(
% 0.13/0.40 ~identity=sk_c6|sQ24_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f305])).
% 0.13/0.40 fof(f308,plain,(
% 0.13/0.40 ~sQ23_spl|~sQ24_spl|~sQ11_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f272,f302,f305,f105])).
% 0.13/0.40 fof(f309,plain,(
% 0.13/0.40 ~sQ19_spl|~sQ22_spl|~sQ11_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f273,f165,f298,f105])).
% 0.13/0.40 fof(f312,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ16_spl|~sQ2_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f284,f167])).
% 0.13/0.40 fof(f313,plain,(
% 0.13/0.40 $false|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ16_spl|~sQ2_spl|sQ19_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f312])).
% 0.13/0.40 fof(f314,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ16_spl|~sQ2_spl|sQ19_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f313])).
% 0.13/0.40 fof(f316,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f223,f300])).
% 0.13/0.40 fof(f317,plain,(
% 0.13/0.40 $false|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ22_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f316])).
% 0.13/0.40 fof(f318,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ22_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f317])).
% 0.13/0.40 fof(f324,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c1),sk_c7)|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f53,f122])).
% 0.13/0.40 fof(f326,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c6,sk_c7)|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f76,f324])).
% 0.13/0.40 fof(f367,plain,(
% 0.13/0.40 sk_c6=sk_c5|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f326,f29])).
% 0.13/0.40 fof(f369,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f326,f122])).
% 0.13/0.40 fof(f372,plain,(
% 0.13/0.40 sk_c7=identity|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f27,f369])).
% 0.13/0.40 fof(f373,plain,(
% 0.13/0.40 $false|sQ16_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f372,f157])).
% 0.13/0.40 fof(f374,plain,(
% 0.13/0.40 sQ16_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f373])).
% 0.13/0.40 fof(f376,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c6,sk_c6)|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f367,f268])).
% 0.13/0.40 fof(f380,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c6|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f367,f57])).
% 0.13/0.40 fof(f394,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c6,X0)|~sQ6_spl|~sQ0_spl|~sQ16_spl|~sQ2_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f396,f181])).
% 0.13/0.40 fof(f396,plain,(
% 0.13/0.40 inverse(identity)=sk_c6|~sQ6_spl|~sQ0_spl|~sQ16_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f367,f282])).
% 0.13/0.40 fof(f410,plain,(
% 0.13/0.40 sk_c6=identity|~sQ6_spl|~sQ2_spl|~sQ16_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f411,f288])).
% 0.13/0.40 fof(f411,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c1,X0)|~sQ6_spl|~sQ2_spl|~sQ16_spl|~sQ0_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f394,f294])).
% 0.13/0.40 fof(f414,plain,(
% 0.13/0.40 $false|sQ24_spl|~sQ6_spl|~sQ2_spl|~sQ16_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f410,f307])).
% 0.13/0.40 fof(f415,plain,(
% 0.13/0.40 sQ24_spl|~sQ6_spl|~sQ2_spl|~sQ16_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f414])).
% 0.13/0.40 fof(f416,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c5|~sQ6_spl|~sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f372,f61])).
% 0.13/0.40 fof(f417,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c6|~sQ6_spl|~sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f367,f416])).
% 0.13/0.40 fof(f434,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f376,f122])).
% 0.13/0.40 fof(f437,plain,(
% 0.13/0.40 sk_c6=identity|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f27,f434])).
% 0.13/0.40 fof(f486,plain,(
% 0.13/0.40 ~sk_c6=sk_c5|~sQ6_spl|~sQ0_spl|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f291,f278])).
% 0.13/0.40 fof(f487,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ6_spl|~sQ0_spl|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f367,f486])).
% 0.13/0.40 fof(f488,plain,(
% 0.13/0.40 $false|~sQ6_spl|~sQ0_spl|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f487])).
% 0.13/0.40 fof(f489,plain,(
% 0.13/0.40 ~sQ6_spl|~sQ0_spl|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f488])).
% 0.13/0.40 fof(f506,plain,(
% 0.13/0.40 multiply(sk_c6,identity)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f257,f234])).
% 0.13/0.40 fof(f509,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f506,f279])).
% 0.13/0.40 fof(f510,plain,(
% 0.13/0.40 $false|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f509])).
% 0.13/0.40 fof(f511,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ16_spl|sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f510])).
% 0.13/0.40 fof(f519,plain,(
% 0.13/0.40 inverse(sk_c2)=identity|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f437,f84])).
% 0.13/0.40 fof(f544,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ7_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f437,f417])).
% 0.13/0.40 fof(f552,plain,(
% 0.13/0.40 multiply(identity,sk_c2)=identity|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f519,f27])).
% 0.13/0.40 fof(f554,plain,(
% 0.13/0.40 sk_c2=identity|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f26,f552])).
% 0.13/0.40 fof(f559,plain,(
% 0.13/0.40 inverse(identity)=identity|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f554,f519])).
% 0.13/0.40 fof(f561,plain,(
% 0.13/0.40 $false|sQ2_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f559,f544])).
% 0.13/0.40 fof(f562,plain,(
% 0.13/0.40 sQ2_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f561])).
% 0.13/0.40 fof(f605,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c6|~sQ7_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f437,f380])).
% 0.13/0.40 fof(f606,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ7_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f437,f605])).
% 0.13/0.40 fof(f617,plain,(
% 0.13/0.40 ~identity=identity|~sQ7_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f559,f606])).
% 0.13/0.40 fof(f618,plain,(
% 0.13/0.40 $false|~sQ7_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f617])).
% 0.13/0.40 fof(f619,plain,(
% 0.13/0.40 ~sQ7_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f618])).
% 0.13/0.40 fof(f620,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f78,f79,f80,f81,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f111,f137,f139,f150,f161,f259,f263,f277,f308,f309,f314,f318,f374,f415,f489,f511,f562,f619])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.057950 seconds
% 0.13/0.42 % CPU time: 0.205565 seconds
% 0.13/0.42 % Total memory used: 104.220 MB
% 0.13/0.42 % Net memory used: 103.878 MB
%------------------------------------------------------------------------------