%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP285-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:36:23 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 : GRP285-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.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
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:03:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f7,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f8,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f9,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c5) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f13,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f14,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f18,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f21,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f25,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f26,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c9) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f27,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c9) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f29,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f30,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f31,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c9) = sk_c7| inverse(sk_c5) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f32,negated_conjecture,(
% 0.10/0.40 (![X3,X4,X1,X2,X5,X6]: (( multiply(sk_c9,sk_c8) != sk_c7| multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(X4,sk_c9) != sk_c7| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(sk_c9,X5) != sk_c7| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9 ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f33,plain,(
% 0.10/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f34,plain,(
% 0.10/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f35,plain,(
% 0.10/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f36,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f37,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f38,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.41 fof(f39,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.41 fof(f40,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f41,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.41 fof(f42,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c5)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41 fof(f44,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f45,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.41 fof(f46,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.41 fof(f57,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.41 fof(f58,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.41 fof(f60,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.41 fof(f62,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.41 fof(f63,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c5)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.41 fof(f64,plain,(
% 0.10/0.41 ![X6]: ((![X5]: (((![X2]: (((![X1]: ((((![X3]: ((~multiply(sk_c9,sk_c8)=sk_c7|~multiply(X3,sk_c9)=sk_c8)|~inverse(X3)=sk_c9))|(![X4]: ~multiply(X4,sk_c9)=sk_c7))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c7)=sk_c8)|~inverse(X2)=sk_c7))|~multiply(sk_c9,X5)=sk_c7)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f32])).
% 0.10/0.41 fof(f65,plain,(
% 0.10/0.41 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c9,sk_c8)=sk_c7|~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c9)=sk_c7|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f64])).
% 0.10/0.41 fof(f66,definition,(
% 0.10/0.41 sQ0_spl <=> (multiply(sk_c9,sk_c8)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f67,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c8)=sk_c7|~sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f66])).
% 0.10/0.41 fof(f69,definition,(
% 0.10/0.41 sQ1_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f70,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c9)=sk_c8|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f69])).
% 0.10/0.41 fof(f72,plain,(
% 0.10/0.41 sQ0_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f36,f66,f69])).
% 0.10/0.41 fof(f73,definition,(
% 0.10/0.41 sQ2_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f74,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c9|~sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.41 fof(f76,plain,(
% 0.10/0.41 sQ0_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f37,f66,f73])).
% 0.10/0.41 fof(f77,definition,(
% 0.10/0.41 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f78,plain,(
% 0.10/0.41 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.41 fof(f80,plain,(
% 0.10/0.41 sQ0_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f38,f66,f77])).
% 0.10/0.41 fof(f81,definition,(
% 0.10/0.41 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f82,plain,(
% 0.10/0.41 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.10/0.41 fof(f84,plain,(
% 0.10/0.41 sQ0_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f39,f66,f81])).
% 0.10/0.41 fof(f85,definition,(
% 0.10/0.41 sQ5_spl <=> (multiply(sk_c9,sk_c6)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f86,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c6)=sk_c7|~sQ5_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.41 fof(f88,plain,(
% 0.10/0.41 sQ0_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f40,f66,f85])).
% 0.10/0.41 fof(f89,definition,(
% 0.10/0.41 sQ6_spl <=> (multiply(sk_c5,sk_c9)=sk_c6)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f90,plain,(
% 0.10/0.41 multiply(sk_c5,sk_c9)=sk_c6|~sQ6_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.41 fof(f92,plain,(
% 0.10/0.41 sQ0_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f41,f66,f89])).
% 0.10/0.41 fof(f93,definition,(
% 0.10/0.41 sQ7_spl <=> (inverse(sk_c5)=sk_c9)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f94,plain,(
% 0.10/0.41 inverse(sk_c5)=sk_c9|~sQ7_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.41 fof(f96,plain,(
% 0.10/0.41 sQ0_spl|sQ7_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f42,f66,f93])).
% 0.10/0.41 fof(f97,definition,(
% 0.10/0.41 sQ8_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f98,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|~sQ8_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.41 fof(f100,plain,(
% 0.10/0.41 sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f43,f97,f69])).
% 0.10/0.41 fof(f101,plain,(
% 0.10/0.41 sQ8_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.10/0.41 fof(f102,plain,(
% 0.10/0.41 sQ8_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.10/0.41 fof(f103,plain,(
% 0.10/0.41 sQ8_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.10/0.41 fof(f107,definition,(
% 0.10/0.41 sQ9_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f108,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|~sQ9_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f107])).
% 0.10/0.41 fof(f110,plain,(
% 0.10/0.41 sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f50,f107,f69])).
% 0.10/0.41 fof(f111,plain,(
% 0.10/0.41 sQ9_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f51,f107,f73])).
% 0.10/0.41 fof(f112,plain,(
% 0.10/0.41 sQ9_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f52,f107,f77])).
% 0.10/0.41 fof(f113,plain,(
% 0.10/0.41 sQ9_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f53,f107,f81])).
% 0.10/0.41 fof(f117,definition,(
% 0.10/0.41 sQ10_spl <=> (multiply(sk_c2,sk_c9)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f118,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c9)=sk_c7|~sQ10_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.10/0.41 fof(f120,plain,(
% 0.10/0.41 sQ10_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f57,f117,f69])).
% 0.10/0.41 fof(f121,plain,(
% 0.10/0.41 sQ10_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.10/0.41 fof(f122,plain,(
% 0.10/0.41 sQ10_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.10/0.41 fof(f123,plain,(
% 0.10/0.41 sQ10_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.10/0.41 fof(f124,plain,(
% 0.10/0.41 sQ10_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.10/0.41 fof(f125,plain,(
% 0.10/0.41 sQ10_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.10/0.41 fof(f126,plain,(
% 0.10/0.41 sQ10_spl|sQ7_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f63,f117,f93])).
% 0.10/0.41 fof(f127,definition,(
% 0.10/0.41 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f128,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ11_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f127])).
% 0.10/0.41 fof(f130,definition,(
% 0.10/0.41 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c9)=sk_c7))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f131,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~sQ12_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f130])).
% 0.10/0.41 fof(f133,definition,(
% 0.10/0.41 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f134,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.10/0.41 fof(f136,definition,(
% 0.10/0.41 ![X4,X5]: (sQ14_spl <=> (~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f137,plain,(
% 0.10/0.41 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c7|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ14_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.41 fof(f139,plain,(
% 0.10/0.41 ~sQ0_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f65,f66,f127,f130,f133,f136])).
% 0.10/0.41 fof(f140,plain,(
% 0.10/0.41 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c7|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.10/0.41 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.10/0.41 fof(f151,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c4)=identity|~sQ4_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f82,f34])).
% 0.10/0.41 fof(f152,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c5)=identity|~sQ7_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f94,f34])).
% 0.10/0.41 fof(f153,plain,(
% 0.10/0.41 multiply(sk_c9,sk_c1)=identity|~sQ9_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f108,f34])).
% 0.10/0.41 fof(f157,plain,(
% 0.10/0.41 ~multiply(sk_c9,sk_c8)=sk_c7|~inverse(sk_c3)=sk_c9|~sQ14_spl|~sQ1_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f70,f140])).
% 0.10/0.41 fof(f160,plain,(
% 0.10/0.41 ~multiply(sk_c9,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c9|~sQ14_spl|~sQ6_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f90,f140])).
% 0.10/0.41 fof(f162,plain,(
% 0.10/0.41 ~multiply(sk_c9,sk_c8)=sk_c7|~inverse(sk_c1)=sk_c9|~sQ14_spl|~sQ8_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f98,f140])).
% 0.10/0.41 fof(f164,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f157,f66,f73,f136,f69])).
% 0.10/0.41 fof(f179,plain,(
% 0.10/0.41 ~sQ5_spl|~sQ7_spl|~sQ14_spl|~sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f160,f85,f93,f136,f89])).
% 0.10/0.41 fof(f180,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ9_spl|~sQ14_spl|~sQ8_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f162,f66,f107,f136,f97])).
% 0.10/0.41 fof(f189,plain,(
% 0.10/0.41 ~inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ3_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f134,f78])).
% 0.10/0.41 fof(f194,plain,(
% 0.10/0.41 ~sk_c7=sk_c7|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f82,f189])).
% 0.10/0.41 fof(f195,plain,(
% 0.10/0.41 $false|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f194])).
% 0.10/0.41 fof(f196,plain,(
% 0.10/0.41 ~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f195])).
% 0.10/0.41 fof(f197,plain,(
% 0.10/0.41 $false|~sQ12_spl|~sQ10_spl),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f118,f131])).
% 0.10/0.41 fof(f199,plain,(
% 0.10/0.41 ~sk_c9=sk_c7|~sQ12_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f33,f131])).
% 0.10/0.41 fof(f202,plain,(
% 0.10/0.41 ~sQ12_spl|~sQ10_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f197])).
% 0.10/0.41 fof(f217,plain,(
% 0.10/0.41 ~inverse(sk_c3)=sk_c9|~sQ1_spl|~sQ11_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f70,f128])).
% 0.10/0.41 fof(f220,plain,(
% 0.10/0.41 ~sk_c9=sk_c9|~sQ2_spl|~sQ1_spl|~sQ11_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f74,f217])).
% 0.10/0.41 fof(f221,plain,(
% 0.10/0.41 $false|~sQ2_spl|~sQ1_spl|~sQ11_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f220])).
% 0.10/0.41 fof(f222,plain,(
% 0.10/0.41 ~sQ2_spl|~sQ1_spl|~sQ11_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f221])).
% 0.10/0.41 fof(f223,plain,(
% 0.10/0.41 ~inverse(sk_c1)=sk_c9|~sQ8_spl|~sQ11_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f98,f128])).
% 0.10/0.41 fof(f226,plain,(
% 0.10/0.41 ~sQ9_spl|~sQ8_spl|~sQ11_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f223,f107,f97,f127])).
% 0.10/0.41 fof(f255,plain,(
% 0.10/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c1,X0))|~sQ9_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f153,f35])).
% 0.10/0.41 fof(f256,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c9,multiply(sk_c1,X0))|~sQ9_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f33,f255])).
% 0.10/0.41 fof(f258,plain,(
% 0.10/0.41 sk_c9=multiply(sk_c9,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f98,f256])).
% 0.10/0.41 fof(f262,plain,(
% 0.10/0.41 sk_c9=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f258,f67])).
% 0.10/0.41 fof(f267,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c9|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f262,f134])).
% 0.10/0.41 fof(f270,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f262,f267])).
% 0.10/0.41 fof(f271,plain,(
% 0.10/0.41 ~inverse(sk_c1)=sk_c9|~sQ9_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f270,f98])).
% 0.10/0.41 fof(f276,plain,(
% 0.10/0.41 ~sQ9_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f271,f107,f66,f133,f97])).
% 0.10/0.41 fof(f296,plain,(
% 0.10/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f151,f35])).
% 0.10/0.41 fof(f297,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f33,f296])).
% 0.10/0.41 fof(f303,plain,(
% 0.10/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c5,X0))|~sQ7_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f152,f35])).
% 0.10/0.41 fof(f304,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c9,multiply(sk_c5,X0))|~sQ7_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f33,f303])).
% 0.10/0.41 fof(f309,plain,(
% 0.10/0.41 sk_c7=multiply(sk_c7,sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f78,f297])).
% 0.10/0.41 fof(f317,plain,(
% 0.10/0.41 sk_c9=multiply(sk_c9,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f90,f304])).
% 0.10/0.41 fof(f321,plain,(
% 0.10/0.41 sk_c9=sk_c7|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f317,f86])).
% 0.10/0.41 fof(f325,plain,(
% 0.10/0.41 sk_c7=multiply(sk_c9,sk_c8)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f321,f309])).
% 0.10/0.41 fof(f335,plain,(
% 0.10/0.41 sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f325,f66,f93,f89,f85,f81,f77])).
% 0.10/0.41 fof(f342,plain,(
% 0.10/0.41 ~sk_c9=sk_c9|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f321,f199])).
% 0.10/0.41 fof(f343,plain,(
% 0.10/0.41 $false|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f342])).
% 0.10/0.41 fof(f344,plain,(
% 0.10/0.41 ~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f343])).
% 0.10/0.41 fof(f345,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f72,f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f110,f111,f112,f113,f120,f121,f122,f123,f124,f125,f126,f139,f164,f179,f180,f196,f202,f222,f226,f276,f335,f344])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.066760 seconds
% 0.10/0.44 % CPU time: 0.163417 seconds
% 0.10/0.44 % Total memory used: 48.722 MB
% 0.10/0.44 % Net memory used: 48.646 MB
%------------------------------------------------------------------------------