%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP314-1 : 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 : n001.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 12:36:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP314-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n001.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 20 20:14:43 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f1,axiom,(
% 0.14/0.44 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f2,axiom,(
% 0.14/0.44 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f3,axiom,(
% 0.14/0.44 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f4,negated_conjecture,(
% 0.14/0.44 multiply(sk_c7,sk_c8) = sk_c6 ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f5,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f6,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f7,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f8,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f9,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f10,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f11,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f12,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f13,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f14,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f15,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f16,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f17,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f18,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f19,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f20,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f21,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f22,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f23,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f24,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f25,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f26,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f27,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f28,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f29,negated_conjecture,(
% 0.14/0.44 (![X3,X4,X5,X1,X2]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(X4,sk_c7) != sk_c6| inverse(X4) != sk_c7| multiply(X5,sk_c7) != sk_c8| inverse(X5) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(X2,sk_c6) != sk_c7 ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f30,plain,(
% 0.14/0.44 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.44 fof(f31,plain,(
% 0.14/0.44 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.44 fof(f32,plain,(
% 0.14/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.44 fof(f33,plain,(
% 0.14/0.44 multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.44 fof(f34,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.44 fof(f35,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.44 fof(f36,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.44 fof(f37,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.44 fof(f38,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.44 fof(f39,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.44 fof(f40,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.44 fof(f41,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.44 fof(f42,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.44 fof(f43,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.44 fof(f44,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.44 fof(f45,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.44 fof(f46,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.44 fof(f47,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.44 fof(f48,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.44 fof(f49,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.44 fof(f50,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.44 fof(f51,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.44 fof(f52,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.44 fof(f53,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.44 fof(f54,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.44 fof(f55,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.44 fof(f56,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.44 fof(f57,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.44 fof(f58,plain,(
% 0.14/0.44 ![X2]: (((![X1]: (((![X5]: (((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(X4,sk_c7)=sk_c6)|~inverse(X4)=sk_c7))|~multiply(X5,sk_c7)=sk_c8)|~inverse(X5)=sk_c7))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~inverse(X2)=sk_c7)|~multiply(X2,sk_c6)=sk_c7)),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f29])).
% 0.14/0.44 fof(f59,plain,(
% 0.14/0.44 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~multiply(X2,sk_c7)=sk_c8|~inverse(X2)=sk_c7|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.44 fof(f60,definition,(
% 0.14/0.44 sQ0_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f61,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c8)=sk_c7|~sQ0_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f60])).
% 0.14/0.44 fof(f63,definition,(
% 0.14/0.44 sQ1_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f64,plain,(
% 0.14/0.44 inverse(sk_c4)=sk_c8|~sQ1_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.44 fof(f66,plain,(
% 0.14/0.44 sQ0_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f34,f60,f63])).
% 0.14/0.44 fof(f67,definition,(
% 0.14/0.44 sQ2_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f68,plain,(
% 0.14/0.44 multiply(sk_c4,sk_c7)=sk_c8|~sQ2_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f67])).
% 0.14/0.44 fof(f70,plain,(
% 0.14/0.44 sQ0_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f35,f60,f67])).
% 0.14/0.44 fof(f71,definition,(
% 0.14/0.44 sQ3_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f72,plain,(
% 0.14/0.44 inverse(sk_c5)=sk_c7|~sQ3_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f71])).
% 0.14/0.44 fof(f73,plain,(
% 0.14/0.44 ~inverse(sk_c5)=sk_c7|sQ3_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f71])).
% 0.14/0.44 fof(f74,plain,(
% 0.14/0.44 sQ0_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f36,f60,f71])).
% 0.14/0.44 fof(f75,definition,(
% 0.14/0.44 sQ4_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f76,plain,(
% 0.14/0.44 multiply(sk_c5,sk_c6)=sk_c7|~sQ4_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f75])).
% 0.14/0.44 fof(f78,plain,(
% 0.14/0.44 sQ0_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f37,f60,f75])).
% 0.14/0.44 fof(f79,definition,(
% 0.14/0.44 sQ5_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f80,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c8|~sQ5_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f79])).
% 0.14/0.44 fof(f82,plain,(
% 0.14/0.44 sQ5_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f38,f79,f63])).
% 0.14/0.44 fof(f83,plain,(
% 0.14/0.44 sQ5_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f39,f79,f67])).
% 0.14/0.44 fof(f84,plain,(
% 0.14/0.44 sQ5_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f40,f79,f71])).
% 0.14/0.44 fof(f85,plain,(
% 0.14/0.44 sQ5_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f41,f79,f75])).
% 0.14/0.44 fof(f86,definition,(
% 0.14/0.44 sQ6_spl <=> (multiply(sk_c2,sk_c7)=sk_c6)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f87,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c7)=sk_c6|~sQ6_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f86])).
% 0.14/0.44 fof(f89,plain,(
% 0.14/0.44 sQ6_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f42,f86,f63])).
% 0.14/0.44 fof(f90,plain,(
% 0.14/0.44 sQ6_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f43,f86,f67])).
% 0.14/0.44 fof(f91,plain,(
% 0.14/0.44 sQ6_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f44,f86,f71])).
% 0.14/0.44 fof(f92,plain,(
% 0.14/0.44 sQ6_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f45,f86,f75])).
% 0.14/0.44 fof(f93,definition,(
% 0.14/0.44 sQ7_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f94,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c7|~sQ7_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.44 fof(f96,plain,(
% 0.14/0.44 sQ7_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f46,f93,f63])).
% 0.14/0.44 fof(f97,plain,(
% 0.14/0.44 sQ7_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f47,f93,f67])).
% 0.14/0.44 fof(f98,plain,(
% 0.14/0.44 sQ7_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f48,f93,f71])).
% 0.14/0.44 fof(f99,plain,(
% 0.14/0.44 sQ7_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f49,f93,f75])).
% 0.14/0.44 fof(f100,definition,(
% 0.14/0.44 sQ8_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f101,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c8|~sQ8_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f100])).
% 0.14/0.44 fof(f103,plain,(
% 0.14/0.44 sQ8_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f50,f100,f63])).
% 0.14/0.44 fof(f104,plain,(
% 0.14/0.44 sQ8_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f51,f100,f67])).
% 0.14/0.44 fof(f105,plain,(
% 0.14/0.44 sQ8_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f52,f100,f71])).
% 0.14/0.44 fof(f106,plain,(
% 0.14/0.44 sQ8_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f53,f100,f75])).
% 0.14/0.44 fof(f107,definition,(
% 0.14/0.44 sQ9_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f108,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c7|~sQ9_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f107])).
% 0.14/0.44 fof(f110,plain,(
% 0.14/0.44 sQ9_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f54,f107,f63])).
% 0.14/0.44 fof(f111,plain,(
% 0.14/0.44 sQ9_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f55,f107,f67])).
% 0.14/0.44 fof(f112,plain,(
% 0.14/0.44 sQ9_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f56,f107,f71])).
% 0.14/0.44 fof(f113,plain,(
% 0.14/0.44 sQ9_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f57,f107,f75])).
% 0.14/0.44 fof(f114,definition,(
% 0.14/0.44 sQ10_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f116,plain,(
% 0.14/0.44 ~multiply(sk_c7,sk_c8)=sk_c6|sQ10_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f114])).
% 0.14/0.44 fof(f117,definition,(
% 0.14/0.44 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f118,plain,(
% 0.14/0.44 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.14/0.44 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.44 fof(f120,definition,(
% 0.14/0.44 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7))),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f121,plain,(
% 0.14/0.44 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.14/0.44 inference(component_clause,[status(thm)],[f120])).
% 0.14/0.44 fof(f123,definition,(
% 0.14/0.44 ![X2]: (sQ13_spl <=> (~multiply(X2,sk_c7)=sk_c8|~inverse(X2)=sk_c7))),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f124,plain,(
% 0.14/0.44 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.14/0.44 inference(component_clause,[status(thm)],[f123])).
% 0.14/0.44 fof(f126,definition,(
% 0.14/0.44 ![X3]: (sQ14_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f127,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ14_spl)),
% 0.14/0.44 inference(component_clause,[status(thm)],[f126])).
% 0.14/0.44 fof(f129,definition,(
% 0.14/0.44 ![X4]: (sQ15_spl <=> (~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7))),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f130,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ15_spl)),
% 0.14/0.44 inference(component_clause,[status(thm)],[f129])).
% 0.14/0.44 fof(f132,plain,(
% 0.14/0.44 ~sQ10_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f59,f114,f117,f120,f123,f126,f129])).
% 0.14/0.44 fof(f133,plain,(
% 0.14/0.44 ~inverse(sk_c5)=sk_c7|~sQ15_spl|~sQ4_spl),
% 0.14/0.44 inference(resolution,[status(thm)],[f130,f76])).
% 0.14/0.44 fof(f135,plain,(
% 0.14/0.44 ~sk_c7=sk_c7|~sQ3_spl|~sQ15_spl|~sQ4_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f72,f133])).
% 0.14/0.44 fof(f136,plain,(
% 0.14/0.44 $false|~sQ3_spl|~sQ15_spl|~sQ4_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f135])).
% 0.14/0.44 fof(f137,plain,(
% 0.14/0.44 ~sQ3_spl|~sQ15_spl|~sQ4_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f136])).
% 0.14/0.44 fof(f138,plain,(
% 0.14/0.44 ~inverse(sk_c3)=sk_c8|~sQ14_spl|~sQ8_spl),
% 0.14/0.44 inference(resolution,[status(thm)],[f127,f101])).
% 0.14/0.44 fof(f139,plain,(
% 0.14/0.44 ~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.14/0.44 inference(resolution,[status(thm)],[f127,f68])).
% 0.14/0.44 fof(f143,plain,(
% 0.14/0.44 ~sk_c7=sk_c8|~sQ9_spl|~sQ14_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f108,f138])).
% 0.14/0.44 fof(f144,plain,(
% 0.14/0.44 ~sk_c8=sk_c8|~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f64,f139])).
% 0.14/0.44 fof(f145,plain,(
% 0.14/0.44 $false|~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f144])).
% 0.14/0.44 fof(f146,plain,(
% 0.14/0.44 ~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f145])).
% 0.14/0.44 fof(f147,plain,(
% 0.14/0.44 ~sk_c6=sk_c6|sQ10_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f33,f116])).
% 0.14/0.44 fof(f148,plain,(
% 0.14/0.44 $false|sQ10_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f147])).
% 0.14/0.44 fof(f149,plain,(
% 0.14/0.44 sQ10_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f148])).
% 0.14/0.44 fof(f150,plain,(
% 0.14/0.44 ~inverse(sk_c3)=sk_c7|~sQ13_spl|~sQ8_spl),
% 0.14/0.44 inference(resolution,[status(thm)],[f124,f101])).
% 0.14/0.44 fof(f154,plain,(
% 0.14/0.44 ~sk_c8=sk_c8|~inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ2_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f68,f124])).
% 0.14/0.44 fof(f155,plain,(
% 0.14/0.44 ~sk_c7=sk_c7|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f108,f150])).
% 0.14/0.44 fof(f156,plain,(
% 0.14/0.44 $false|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f155])).
% 0.14/0.44 fof(f157,plain,(
% 0.14/0.44 ~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f156])).
% 0.14/0.44 fof(f164,plain,(
% 0.14/0.44 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0)))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f33,f32])).
% 0.14/0.44 fof(f167,plain,(
% 0.14/0.44 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ6_spl),
% 0.14/0.44 inference(resolution,[status(thm)],[f121,f87])).
% 0.14/0.44 fof(f171,plain,(
% 0.14/0.44 ~sk_c8=sk_c6|~inverse(sk_c4)=sk_c7|~sQ12_spl|~sQ2_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f68,f121])).
% 0.14/0.44 fof(f172,plain,(
% 0.14/0.44 ~sk_c7=sk_c7|~sQ7_spl|~sQ12_spl|~sQ6_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f94,f167])).
% 0.14/0.44 fof(f173,plain,(
% 0.14/0.44 $false|~sQ7_spl|~sQ12_spl|~sQ6_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f172])).
% 0.14/0.44 fof(f174,plain,(
% 0.14/0.44 ~sQ7_spl|~sQ12_spl|~sQ6_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f173])).
% 0.14/0.44 fof(f178,plain,(
% 0.14/0.44 multiply(sk_c7,sk_c3)=identity|~sQ9_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.14/0.44 fof(f179,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.14/0.44 fof(f180,plain,(
% 0.14/0.44 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f30,f179])).
% 0.14/0.44 fof(f193,plain,(
% 0.14/0.44 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f30,f180])).
% 0.14/0.44 fof(f195,plain,(
% 0.14/0.44 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ0_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f61,f180])).
% 0.14/0.44 fof(f197,plain,(
% 0.14/0.44 sk_c7=multiply(inverse(sk_c3),sk_c8)|~sQ8_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f101,f180])).
% 0.14/0.44 fof(f202,plain,(
% 0.14/0.44 sk_c8=multiply(inverse(sk_c7),sk_c6)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f33,f180])).
% 0.14/0.44 fof(f204,plain,(
% 0.14/0.44 sk_c8=multiply(sk_c8,sk_c7)|~sQ5_spl|~sQ0_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f80,f195])).
% 0.14/0.44 fof(f206,plain,(
% 0.14/0.44 sk_c7=multiply(sk_c7,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f108,f197])).
% 0.14/0.44 fof(f207,plain,(
% 0.14/0.44 sk_c7=sk_c6|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f33,f206])).
% 0.14/0.44 fof(f209,plain,(
% 0.14/0.44 multiply(sk_c6,sk_c3)=identity|~sQ8_spl|~sQ9_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f207,f178])).
% 0.14/0.44 fof(f211,plain,(
% 0.14/0.44 ~inverse(sk_c5)=sk_c6|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f207,f73])).
% 0.14/0.44 fof(f212,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c8)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f207,f61])).
% 0.14/0.44 fof(f214,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c6)=sk_c8|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f207,f101])).
% 0.14/0.44 fof(f216,plain,(
% 0.14/0.44 multiply(sk_c5,sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ4_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f207,f76])).
% 0.14/0.44 fof(f219,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c6|~sQ8_spl|~sQ9_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f207,f108])).
% 0.14/0.44 fof(f228,plain,(
% 0.14/0.44 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f193,f180])).
% 0.14/0.44 fof(f230,plain,(
% 0.14/0.44 sk_c8=multiply(sk_c8,sk_c6)|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f207,f204])).
% 0.14/0.44 fof(f231,plain,(
% 0.14/0.44 sk_c6=multiply(inverse(sk_c8),sk_c8)|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f230,f180])).
% 0.14/0.44 fof(f233,plain,(
% 0.14/0.44 sk_c6=identity|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f31,f231])).
% 0.14/0.44 fof(f236,plain,(
% 0.14/0.44 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl)),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f233,f31])).
% 0.14/0.44 fof(f237,plain,(
% 0.14/0.44 ![X0]: (multiply(sk_c6,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl)),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f233,f30])).
% 0.14/0.44 fof(f242,plain,(
% 0.14/0.44 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ11_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f207,f118])).
% 0.14/0.44 fof(f245,definition,(
% 0.14/0.44 sQ16_spl <=> (sk_c8=sk_c6)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f246,plain,(
% 0.14/0.44 sk_c8=sk_c6|~sQ16_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f245])).
% 0.14/0.44 fof(f247,plain,(
% 0.14/0.44 ~sk_c8=sk_c6|sQ16_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f245])).
% 0.14/0.44 fof(f252,plain,(
% 0.14/0.44 ~inverse(sk_c1)=sk_c8|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl),
% 0.14/0.44 inference(resolution,[status(thm)],[f212,f242])).
% 0.14/0.44 fof(f256,plain,(
% 0.14/0.44 ~sk_c8=sk_c8|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f80,f252])).
% 0.14/0.44 fof(f257,plain,(
% 0.14/0.44 $false|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f256])).
% 0.14/0.44 fof(f258,plain,(
% 0.14/0.44 ~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f257])).
% 0.14/0.44 fof(f269,definition,(
% 0.14/0.44 sQ20_spl <=> (sk_c8=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f271,plain,(
% 0.14/0.44 ~sk_c8=sk_c8|sQ20_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f269])).
% 0.14/0.44 fof(f273,plain,(
% 0.14/0.44 ~sk_c6=sk_c8|~sQ9_spl|~sQ14_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f207,f143])).
% 0.14/0.44 fof(f284,plain,(
% 0.14/0.44 sk_c6=sk_c3|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f285,f233])).
% 0.14/0.44 fof(f285,plain,(
% 0.14/0.44 sk_c3=identity|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f237,f209])).
% 0.14/0.44 fof(f286,plain,(
% 0.14/0.44 sk_c6=multiply(inverse(sk_c3),sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f214,f180])).
% 0.14/0.44 fof(f288,plain,(
% 0.14/0.44 sk_c6=multiply(sk_c6,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f219,f286])).
% 0.14/0.44 fof(f289,plain,(
% 0.14/0.44 sk_c6=sk_c8|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f237,f288])).
% 0.14/0.44 fof(f290,plain,(
% 0.14/0.44 $false|~sQ14_spl|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f289,f273])).
% 0.14/0.44 fof(f291,plain,(
% 0.14/0.44 ~sQ14_spl|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f290])).
% 0.14/0.44 fof(f293,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c6)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ15_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f207,f130])).
% 0.14/0.44 fof(f294,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ15_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f207,f293])).
% 0.14/0.44 fof(f295,definition,(
% 0.14/0.44 sQ21_spl <=> (sk_c7=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f297,plain,(
% 0.14/0.44 ~sk_c7=sk_c7|sQ21_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f295])).
% 0.14/0.44 fof(f302,plain,(
% 0.14/0.44 ![X0]: (multiply(sk_c3,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl)),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f284,f237])).
% 0.14/0.44 fof(f304,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c3|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f284,f219])).
% 0.14/0.44 fof(f306,plain,(
% 0.14/0.44 ~inverse(sk_c5)=sk_c3|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f284,f211])).
% 0.14/0.44 fof(f326,plain,(
% 0.14/0.44 multiply(sk_c5,sk_c3)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ4_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f284,f216])).
% 0.14/0.44 fof(f327,plain,(
% 0.14/0.44 multiply(sk_c5,sk_c3)=sk_c3|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ4_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f284,f326])).
% 0.14/0.44 fof(f329,plain,(
% 0.14/0.44 ![X0]: (multiply(sk_c3,X0)=multiply(sk_c5,multiply(sk_c3,X0))|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ4_spl)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f327,f32])).
% 0.14/0.44 fof(f330,plain,(
% 0.14/0.44 ![X0]: (X0=multiply(sk_c5,multiply(sk_c3,X0))|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ4_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f302,f329])).
% 0.14/0.44 fof(f331,plain,(
% 0.14/0.44 ![X0]: (X0=multiply(sk_c5,X0)|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ4_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f302,f330])).
% 0.14/0.44 fof(f336,plain,(
% 0.14/0.44 ![X0]: (X0=multiply(inverse(sk_c5),X0)|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ4_spl)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f331,f180])).
% 0.14/0.44 fof(f350,plain,(
% 0.14/0.44 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f284,f236])).
% 0.14/0.44 fof(f364,plain,(
% 0.14/0.44 sk_c5=sk_c3|~sQ4_spl|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f350,f336])).
% 0.14/0.44 fof(f371,plain,(
% 0.14/0.44 ~inverse(sk_c3)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f364,f306])).
% 0.14/0.44 fof(f373,plain,(
% 0.14/0.44 ~sk_c3=sk_c3|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f304,f371])).
% 0.14/0.44 fof(f374,plain,(
% 0.14/0.44 $false|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f373])).
% 0.14/0.44 fof(f375,plain,(
% 0.14/0.44 ~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f374])).
% 0.14/0.44 fof(f376,plain,(
% 0.14/0.44 $false|sQ20_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f271])).
% 0.14/0.44 fof(f377,plain,(
% 0.14/0.44 sQ20_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f376])).
% 0.14/0.44 fof(f378,definition,(
% 0.14/0.44 sQ22_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f380,plain,(
% 0.14/0.44 ~inverse(sk_c4)=sk_c7|sQ22_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f378])).
% 0.14/0.44 fof(f381,plain,(
% 0.14/0.44 ~sQ16_spl|~sQ22_spl|~sQ12_spl|~sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f171,f245,f378,f120,f67])).
% 0.14/0.44 fof(f386,plain,(
% 0.14/0.44 ~sk_c8=sk_c7|~sQ1_spl|sQ22_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f64,f380])).
% 0.14/0.44 fof(f387,plain,(
% 0.14/0.44 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ2_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f68,f180])).
% 0.14/0.44 fof(f389,plain,(
% 0.14/0.44 sk_c7=multiply(sk_c8,sk_c8)|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f64,f387])).
% 0.14/0.44 fof(f390,plain,(
% 0.14/0.44 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f180,f193])).
% 0.14/0.44 fof(f399,plain,(
% 0.14/0.44 sk_c6=multiply(inverse(sk_c5),sk_c7)|~sQ4_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f76,f180])).
% 0.14/0.44 fof(f401,plain,(
% 0.14/0.44 sk_c6=multiply(sk_c7,sk_c7)|~sQ3_spl|~sQ4_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f72,f399])).
% 0.14/0.44 fof(f412,plain,(
% 0.14/0.44 ~sk_c7=sk_c7|~inverse(sk_c8)=sk_c8|~sQ11_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f389,f118])).
% 0.14/0.44 fof(f417,definition,(
% 0.14/0.44 sQ23_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f419,plain,(
% 0.14/0.44 ~inverse(sk_c8)=sk_c8|sQ23_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f417])).
% 0.14/0.44 fof(f420,plain,(
% 0.14/0.44 ~sQ21_spl|~sQ23_spl|~sQ11_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f412,f295,f417,f117,f63,f67])).
% 0.14/0.44 fof(f435,definition,(
% 0.14/0.44 sQ28_spl <=> (inverse(inverse(identity))=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f436,plain,(
% 0.14/0.44 inverse(inverse(identity))=sk_c8|~sQ28_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f435])).
% 0.14/0.44 fof(f437,plain,(
% 0.14/0.44 ~inverse(inverse(identity))=sk_c8|sQ28_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f435])).
% 0.14/0.44 fof(f439,plain,(
% 0.14/0.44 $false|sQ21_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f297])).
% 0.14/0.44 fof(f440,plain,(
% 0.14/0.44 sQ21_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f439])).
% 0.14/0.44 fof(f441,definition,(
% 0.14/0.44 sQ29_spl <=> (sk_c6=sk_c6)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f443,plain,(
% 0.14/0.44 ~sk_c6=sk_c6|sQ29_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f441])).
% 0.14/0.44 fof(f445,plain,(
% 0.14/0.44 $false|sQ29_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f443])).
% 0.14/0.44 fof(f446,plain,(
% 0.14/0.44 sQ29_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f445])).
% 0.14/0.44 fof(f527,plain,(
% 0.14/0.44 inverse(identity)=identity),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f31,f228])).
% 0.14/0.44 fof(f541,plain,(
% 0.14/0.44 ~inverse(identity)=sk_c8|sQ28_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f527,f437])).
% 0.14/0.44 fof(f549,plain,(
% 0.14/0.44 ~identity=sk_c8|sQ28_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f527,f541])).
% 0.14/0.44 fof(f553,plain,(
% 0.14/0.44 multiply(sk_c6,sk_c8)=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f389,f164])).
% 0.14/0.44 fof(f556,plain,(
% 0.14/0.44 multiply(sk_c6,sk_c8)=sk_c6|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f401,f553])).
% 0.14/0.44 fof(f572,plain,(
% 0.14/0.44 sk_c8=multiply(inverse(sk_c6),sk_c6)|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f556,f180])).
% 0.14/0.44 fof(f576,plain,(
% 0.14/0.44 sk_c8=identity|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f31,f572])).
% 0.14/0.44 fof(f577,plain,(
% 0.14/0.44 $false|sQ28_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f576,f549])).
% 0.14/0.44 fof(f578,plain,(
% 0.14/0.44 sQ28_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f577])).
% 0.14/0.44 fof(f579,plain,(
% 0.14/0.44 inverse(identity)=sk_c8|~sQ28_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f527,f436])).
% 0.14/0.44 fof(f580,plain,(
% 0.14/0.44 inverse(identity)=sk_c8|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f576,f527])).
% 0.14/0.44 fof(f588,plain,(
% 0.14/0.44 ![X0]: (multiply(sk_c8,X0)=X0|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f576,f390])).
% 0.14/0.44 fof(f589,plain,(
% 0.14/0.44 inverse(sk_c8)=sk_c8|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f576,f580])).
% 0.14/0.44 fof(f590,plain,(
% 0.14/0.44 $false|sQ23_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f589,f419])).
% 0.14/0.44 fof(f591,plain,(
% 0.14/0.44 sQ23_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f590])).
% 0.14/0.44 fof(f598,plain,(
% 0.14/0.44 ~sQ20_spl|~sQ22_spl|~sQ13_spl|~sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f154,f269,f378,f123,f67])).
% 0.14/0.44 fof(f599,plain,(
% 0.14/0.44 inverse(sk_c8)=sk_c8|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ28_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f576,f579])).
% 0.14/0.44 fof(f601,plain,(
% 0.14/0.44 sk_c7=sk_c8|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f588,f389])).
% 0.14/0.44 fof(f609,plain,(
% 0.14/0.44 sk_c8=multiply(inverse(sk_c8),sk_c6)|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f601,f202])).
% 0.14/0.44 fof(f616,plain,(
% 0.14/0.44 sk_c8=multiply(sk_c8,sk_c6)|~sQ28_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f599,f609])).
% 0.14/0.44 fof(f617,plain,(
% 0.14/0.44 sk_c8=sk_c6|~sQ28_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f588,f616])).
% 0.14/0.44 fof(f618,plain,(
% 0.14/0.44 $false|sQ16_spl|~sQ28_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f617,f247])).
% 0.14/0.44 fof(f619,plain,(
% 0.14/0.44 sQ16_spl|~sQ28_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f618])).
% 0.14/0.44 fof(f626,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c6)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f284,f294])).
% 0.14/0.44 fof(f627,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f284,f626])).
% 0.14/0.44 fof(f628,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c3|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f284,f627])).
% 0.14/0.44 fof(f654,plain,(
% 0.14/0.44 ~inverse(inverse(sk_c3))=sk_c3|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl),
% 0.14/0.44 inference(resolution,[status(thm)],[f350,f628])).
% 0.14/0.44 fof(f659,plain,(
% 0.14/0.44 ~inverse(sk_c3)=sk_c3|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f304,f654])).
% 0.14/0.44 fof(f660,plain,(
% 0.14/0.44 ~sk_c3=sk_c3|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f304,f659])).
% 0.14/0.44 fof(f661,plain,(
% 0.14/0.44 $false|~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f660])).
% 0.14/0.44 fof(f662,plain,(
% 0.14/0.44 ~sQ5_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f661])).
% 0.14/0.44 fof(f663,plain,(
% 0.14/0.44 ~sk_c6=sk_c7|~sQ16_spl|~sQ1_spl|sQ22_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f246,f386])).
% 0.14/0.44 fof(f666,plain,(
% 0.14/0.44 sk_c7=sk_c6|~sQ16_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f246,f601])).
% 0.14/0.44 fof(f676,plain,(
% 0.14/0.44 $false|sQ22_spl|~sQ16_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f666,f663])).
% 0.14/0.44 fof(f677,plain,(
% 0.14/0.44 sQ22_spl|~sQ16_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f676])).
% 0.14/0.44 fof(f678,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f83,f84,f85,f89,f90,f91,f92,f96,f97,f98,f99,f103,f104,f105,f106,f110,f111,f112,f113,f132,f137,f146,f149,f157,f174,f258,f291,f375,f377,f381,f420,f440,f446,f578,f591,f598,f619,f662,f677])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.46 % Elapsed time: 0.060693 seconds
% 0.14/0.46 % CPU time: 0.199511 seconds
% 0.14/0.46 % Total memory used: 103.898 MB
% 0.14/0.46 % Net memory used: 103.652 MB
%------------------------------------------------------------------------------