%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP264-1 : 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 : n013.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 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP264-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:07:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % 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_c9) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 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_c9) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 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_c9) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 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_c9) = sk_c8| inverse(sk_c4) = 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_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 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_c9| inverse(sk_c3) = sk_c9 ) ),
% 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_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 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_c9| inverse(sk_c4) = sk_c7 ) ),
% 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_c8) = sk_c7| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 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_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 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_c8) = sk_c7| inverse(sk_c4) = 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 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 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_c8) = sk_c7| multiply(sk_c5,sk_c8) = 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_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f25,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f26,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f27,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f28,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f29,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f30,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f31,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,negated_conjecture,(
% 0.13/0.40 (![X3,X4,X1,X2,X5,X6]: (( multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(X4,sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(sk_c8,X5) != sk_c7| multiply(X6,sk_c8) != X5| inverse(X6) != sk_c8 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f33,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(f34,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(f35,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(f36,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 ![X6]: ((![X5]: (((![X2]: (((![X1]: (((![X4]: (((![X3]: (~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9))|~multiply(X4,sk_c8)=sk_c7)|~inverse(X4)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c7)=sk_c8)|~inverse(X2)=sk_c7))|~multiply(sk_c8,X5)=sk_c7)|~multiply(X6,sk_c8)=X5))|~inverse(X6)=sk_c8)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f32])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f64])).
% 0.13/0.40 fof(f66,definition,(
% 0.13/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c8|~sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f66])).
% 0.13/0.40 fof(f69,definition,(
% 0.13/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c9)=sk_c8|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f36,f66,f69])).
% 0.13/0.40 fof(f73,definition,(
% 0.13/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c9|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f37,f66,f73])).
% 0.13/0.40 fof(f77,definition,(
% 0.13/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 sQ0_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f38,f66,f77])).
% 0.13/0.40 fof(f81,definition,(
% 0.13/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 sQ0_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f39,f66,f81])).
% 0.13/0.40 fof(f85,definition,(
% 0.13/0.40 sQ5_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c6)=sk_c7|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.40 fof(f89,definition,(
% 0.13/0.40 sQ6_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c8)=sk_c6|~sQ6_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.40 fof(f93,definition,(
% 0.13/0.40 sQ7_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c8|~sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.40 fof(f97,definition,(
% 0.13/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c9|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f43,f97,f69])).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.13/0.40 fof(f102,plain,(
% 0.13/0.40 sQ8_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 sQ8_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.13/0.40 fof(f107,definition,(
% 0.13/0.40 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 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_c2,sk_c8)=sk_c7|~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)],[f50,f107,f69])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f51,f107,f73])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 sQ9_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f52,f107,f77])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 sQ9_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f53,f107,f81])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 sQ9_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f107,f85])).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 sQ9_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f55,f107,f89])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 sQ9_spl|sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f107,f93])).
% 0.13/0.40 fof(f117,definition,(
% 0.13/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 sQ10_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f117,f69])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 sQ10_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 sQ10_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 sQ10_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.13/0.40 fof(f124,plain,(
% 0.13/0.40 sQ10_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 sQ10_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.13/0.40 fof(f126,plain,(
% 0.13/0.40 sQ10_spl|sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f117,f93])).
% 0.13/0.40 fof(f127,definition,(
% 0.13/0.40 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ11_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f127])).
% 0.13/0.40 fof(f130,definition,(
% 0.13/0.40 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f130])).
% 0.13/0.40 fof(f133,definition,(
% 0.13/0.40 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f134,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.40 fof(f136,definition,(
% 0.13/0.40 ![X4,X5]: (sQ14_spl <=> (~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ14_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f127,f130,f133,f136])).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~sQ0_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f67,f35])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ14_spl|~sQ6_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f90,f140])).
% 0.13/0.40 fof(f167,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ14_spl|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f108,f140])).
% 0.13/0.40 fof(f175,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ7_spl|~sQ14_spl|~sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f166,f85,f93,f136,f89])).
% 0.13/0.40 fof(f176,definition,(
% 0.13/0.40 sQ17_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|sQ17_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f176])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 ~sQ17_spl|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f167,f176,f117,f136,f107])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ3_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f134,f78])).
% 0.13/0.40 fof(f183,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f82,f180])).
% 0.13/0.40 fof(f184,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f183])).
% 0.13/0.40 fof(f185,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f184])).
% 0.13/0.40 fof(f189,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f118,f34])).
% 0.13/0.40 fof(f190,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f34,f35])).
% 0.13/0.40 fof(f191,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f33,f190])).
% 0.13/0.40 fof(f211,plain,(
% 0.13/0.40 sk_c9=multiply(inverse(sk_c3),sk_c8)|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f70,f191])).
% 0.13/0.40 fof(f214,plain,(
% 0.13/0.40 sk_c9=multiply(inverse(sk_c1),sk_c8)|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f67,f191])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c2),sk_c7)|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f108,f191])).
% 0.13/0.40 fof(f218,plain,(
% 0.13/0.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f74,f211])).
% 0.13/0.40 fof(f219,plain,(
% 0.13/0.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f98,f214])).
% 0.13/0.40 fof(f220,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f118,f215])).
% 0.13/0.40 fof(f229,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f218,f191])).
% 0.13/0.40 fof(f232,plain,(
% 0.13/0.40 sk_c8=identity|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f34,f229])).
% 0.13/0.40 fof(f237,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f232,f34])).
% 0.13/0.40 fof(f238,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f232,f33])).
% 0.13/0.40 fof(f239,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f238,f178])).
% 0.13/0.40 fof(f244,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f239])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f244])).
% 0.13/0.40 fof(f246,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f33,f191])).
% 0.13/0.40 fof(f248,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f131,f108])).
% 0.13/0.40 fof(f249,plain,(
% 0.13/0.40 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ12_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f33,f131])).
% 0.13/0.40 fof(f252,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f118,f248])).
% 0.13/0.40 fof(f253,plain,(
% 0.13/0.40 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f252])).
% 0.13/0.40 fof(f254,plain,(
% 0.13/0.40 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f253])).
% 0.13/0.40 fof(f255,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c9|~sQ11_spl|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f128,f70])).
% 0.13/0.40 fof(f259,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f255,f73,f127,f69])).
% 0.13/0.40 fof(f267,definition,(
% 0.13/0.40 sQ20_spl <=> (sk_c8=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f269,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|sQ20_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f267])).
% 0.13/0.40 fof(f271,definition,(
% 0.13/0.40 sQ21_spl <=> (sk_c8=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f272,plain,(
% 0.13/0.40 sk_c8=sk_c7|~sQ21_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f271])).
% 0.13/0.40 fof(f273,plain,(
% 0.13/0.40 ~sk_c8=sk_c7|sQ21_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f271])).
% 0.13/0.40 fof(f274,definition,(
% 0.13/0.40 sQ22_spl <=> (inverse(identity)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f276,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c8|sQ22_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f274])).
% 0.13/0.40 fof(f277,plain,(
% 0.13/0.40 ~sQ21_spl|~sQ22_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f249,f271,f274,f130])).
% 0.13/0.40 fof(f288,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c8,multiply(sk_c5,X0))|~sQ7_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f94,f191])).
% 0.13/0.40 fof(f289,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c5,X0)|~sQ2_spl|~sQ1_spl|~sQ7_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f238,f288])).
% 0.13/0.40 fof(f298,plain,(
% 0.13/0.40 sk_c8=sk_c2|~sQ10_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f299,f232])).
% 0.13/0.40 fof(f299,plain,(
% 0.13/0.40 sk_c2=identity|~sQ2_spl|~sQ1_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f238,f189])).
% 0.13/0.40 fof(f303,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f298,f238])).
% 0.13/0.40 fof(f304,plain,(
% 0.13/0.40 ~sk_c2=sk_c7|~sQ10_spl|~sQ2_spl|~sQ1_spl|sQ21_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f298,f273])).
% 0.13/0.40 fof(f307,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c2|~sQ2_spl|~sQ1_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f298,f118])).
% 0.13/0.40 fof(f323,plain,(
% 0.13/0.40 sk_c8=sk_c6|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f289,f90])).
% 0.13/0.40 fof(f324,plain,(
% 0.13/0.40 sk_c2=sk_c6|~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f298,f323])).
% 0.13/0.40 fof(f343,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f298,f86])).
% 0.13/0.40 fof(f344,plain,(
% 0.13/0.40 sk_c6=sk_c7|~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f303,f343])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 sk_c2=sk_c7|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f324,f344])).
% 0.13/0.40 fof(f346,plain,(
% 0.13/0.40 $false|sQ21_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f345,f304])).
% 0.13/0.40 fof(f347,plain,(
% 0.13/0.40 sQ21_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f346])).
% 0.13/0.40 fof(f348,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ10_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f299,f276])).
% 0.13/0.40 fof(f349,plain,(
% 0.13/0.40 ~sk_c2=sk_c8|~sQ2_spl|~sQ1_spl|~sQ10_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f307,f348])).
% 0.13/0.40 fof(f350,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ2_spl|~sQ1_spl|~sQ10_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f298,f349])).
% 0.13/0.40 fof(f351,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ10_spl|sQ22_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f350])).
% 0.13/0.40 fof(f352,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ1_spl|~sQ10_spl|sQ22_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f351])).
% 0.13/0.40 fof(f353,plain,(
% 0.13/0.40 $false|sQ20_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f269])).
% 0.13/0.40 fof(f354,plain,(
% 0.13/0.40 sQ20_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f353])).
% 0.13/0.40 fof(f361,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c9|~sQ11_spl|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f128,f67])).
% 0.13/0.40 fof(f364,plain,(
% 0.13/0.40 ~sk_c9=sk_c9|~sQ8_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f98,f361])).
% 0.13/0.40 fof(f365,plain,(
% 0.13/0.40 $false|~sQ8_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f364])).
% 0.13/0.40 fof(f366,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f365])).
% 0.13/0.40 fof(f380,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f191,f246])).
% 0.13/0.40 fof(f390,plain,(
% 0.13/0.40 ~inverse(sk_c8)=sk_c7|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f134,f220])).
% 0.13/0.40 fof(f391,plain,(
% 0.13/0.40 ~sk_c7=sk_c8|~inverse(identity)=sk_c7|~sQ13_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f380,f134])).
% 0.13/0.40 fof(f394,plain,(
% 0.13/0.40 ~sk_c7=sk_c8|~inverse(inverse(identity))=sk_c7|~sQ13_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f246,f134])).
% 0.13/0.40 fof(f396,definition,(
% 0.13/0.40 sQ23_spl <=> (inverse(identity)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f398,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c7|sQ23_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f396])).
% 0.13/0.40 fof(f399,plain,(
% 0.13/0.40 ~sQ21_spl|~sQ23_spl|~sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f391,f271,f396,f133])).
% 0.13/0.40 fof(f405,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(f408,plain,(
% 0.13/0.40 ~sQ21_spl|~sQ25_spl|~sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f394,f271,f405,f133])).
% 0.13/0.40 fof(f454,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c8)=multiply(sk_c1,sk_c9)|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f219,f146])).
% 0.13/0.40 fof(f457,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c8)=sk_c8|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f67,f454])).
% 0.13/0.40 fof(f487,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c8),sk_c8)|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f457,f191])).
% 0.13/0.40 fof(f492,plain,(
% 0.13/0.40 sk_c8=identity|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f34,f487])).
% 0.13/0.40 fof(f496,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ8_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f492,f380])).
% 0.13/0.40 fof(f501,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ8_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f492,f34])).
% 0.13/0.40 fof(f502,plain,(
% 0.13/0.40 ~inverse(sk_c8)=sk_c7|~sQ8_spl|~sQ0_spl|sQ23_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f492,f398])).
% 0.13/0.40 fof(f504,plain,(
% 0.13/0.40 sk_c8=sk_c7|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f496,f220])).
% 0.13/0.40 fof(f511,plain,(
% 0.13/0.40 sQ21_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f504,f271,f97,f66,f117,f107])).
% 0.13/0.40 fof(f513,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ21_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f272,f496])).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c7|~sQ21_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f272,f390])).
% 0.13/0.40 fof(f520,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|~sQ21_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f272,f118])).
% 0.13/0.40 fof(f525,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ21_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f272,f501])).
% 0.13/0.40 fof(f533,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c2)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f520,f525])).
% 0.13/0.40 fof(f535,plain,(
% 0.13/0.40 sk_c2=sk_c7|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f513,f533])).
% 0.13/0.40 fof(f537,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f535,f520])).
% 0.13/0.40 fof(f538,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f535,f515])).
% 0.13/0.40 fof(f539,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f535,f513])).
% 0.13/0.40 fof(f545,plain,(
% 0.13/0.40 sk_c8=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ21_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f535,f272])).
% 0.13/0.40 fof(f549,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f535,f538])).
% 0.13/0.40 fof(f556,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f537,f549])).
% 0.13/0.40 fof(f557,plain,(
% 0.13/0.40 $false|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f556])).
% 0.13/0.40 fof(f558,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f557])).
% 0.13/0.40 fof(f559,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c7|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl|sQ23_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f545,f502])).
% 0.13/0.40 fof(f560,plain,(
% 0.13/0.40 ~sk_c2=sk_c7|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl|sQ23_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f537,f559])).
% 0.13/0.40 fof(f561,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl|sQ23_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f535,f560])).
% 0.13/0.40 fof(f562,plain,(
% 0.13/0.40 $false|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl|sQ23_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f561])).
% 0.13/0.40 fof(f563,plain,(
% 0.13/0.40 ~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl|sQ23_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f562])).
% 0.13/0.40 fof(f574,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c6)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f323,f86])).
% 0.13/0.40 fof(f577,plain,(
% 0.13/0.40 sk_c6=identity|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f323,f232])).
% 0.13/0.40 fof(f584,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f323,f238])).
% 0.13/0.40 fof(f590,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f323,f94])).
% 0.13/0.40 fof(f603,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f323,f237])).
% 0.13/0.40 fof(f605,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c5)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f590,f603])).
% 0.13/0.40 fof(f611,plain,(
% 0.13/0.40 sk_c5=sk_c6|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f584,f605])).
% 0.13/0.40 fof(f617,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f611,f590])).
% 0.13/0.40 fof(f622,plain,(
% 0.13/0.40 sk_c5=identity|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f611,f577])).
% 0.13/0.40 fof(f623,plain,(
% 0.13/0.40 sk_c8=sk_c5|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f611,f323])).
% 0.13/0.40 fof(f653,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f623,f131])).
% 0.13/0.40 fof(f654,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f623,f653])).
% 0.13/0.40 fof(f656,plain,(
% 0.13/0.40 ~sk_c5=sk_c7|~inverse(sk_c5)=sk_c5|~sQ6_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f289,f654])).
% 0.13/0.40 fof(f666,definition,(
% 0.13/0.40 sQ31_spl <=> (sk_c5=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f668,plain,(
% 0.13/0.40 ~sk_c5=sk_c7|sQ31_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f666])).
% 0.13/0.40 fof(f669,definition,(
% 0.13/0.40 sQ32_spl <=> (inverse(sk_c5)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f671,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c5|sQ32_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f669])).
% 0.13/0.40 fof(f672,plain,(
% 0.13/0.40 ~sQ31_spl|~sQ32_spl|~sQ6_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f656,f666,f669,f89,f130,f73,f69,f93])).
% 0.13/0.40 fof(f753,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ21_spl|~sQ14_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f545,f140])).
% 0.13/0.40 fof(f754,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ21_spl|~sQ14_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f539,f753])).
% 0.13/0.40 fof(f755,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c7|~inverse(X0)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ21_spl|~sQ14_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f545,f754])).
% 0.13/0.40 fof(f756,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ21_spl|~sQ14_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f535,f755])).
% 0.13/0.40 fof(f757,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ21_spl|~sQ14_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f545,f756])).
% 0.13/0.40 fof(f758,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f757,f539])).
% 0.13/0.40 fof(f764,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ14_spl|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f537,f758])).
% 0.13/0.40 fof(f765,plain,(
% 0.13/0.40 $false|~sQ14_spl|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f764])).
% 0.13/0.40 fof(f766,plain,(
% 0.13/0.40 ~sQ14_spl|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f765])).
% 0.13/0.40 fof(f773,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f622,f380])).
% 0.13/0.40 fof(f787,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c6)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f611,f574])).
% 0.13/0.40 fof(f788,plain,(
% 0.13/0.40 sk_c6=sk_c7|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f773,f787])).
% 0.13/0.40 fof(f789,plain,(
% 0.13/0.40 sk_c5=sk_c7|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f611,f788])).
% 0.13/0.40 fof(f790,plain,(
% 0.13/0.40 $false|sQ31_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f789,f668])).
% 0.13/0.40 fof(f791,plain,(
% 0.13/0.40 sQ31_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f790])).
% 0.13/0.40 fof(f823,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ7_spl|sQ32_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f617,f671])).
% 0.13/0.40 fof(f824,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ7_spl|sQ32_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f823])).
% 0.13/0.40 fof(f825,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ7_spl|sQ32_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f824])).
% 0.13/0.40 fof(f826,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f72,f76,f80,f84,f100,f101,f102,f103,f110,f111,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f125,f126,f139,f175,f179,f185,f245,f254,f259,f277,f347,f352,f354,f366,f399,f408,f511,f558,f563,f672,f766,f791,f825])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.061953 seconds
% 0.13/0.42 % CPU time: 0.219923 seconds
% 0.13/0.42 % Total memory used: 104.634 MB
% 0.13/0.42 % Net memory used: 104.375 MB
%------------------------------------------------------------------------------