%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP274-1 : 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 : n003.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 12:36:22 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP274-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.59 % Computer : n003.cluster.edu
% 0.12/0.59 % Model : x86_64 x86_64
% 0.12/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59 % Memory : 8046.5625MB
% 0.12/0.59 % OS : Linux 6.8.0-71-generic
% 0.12/0.59 % CPULimit : 300
% 0.12/0.59 % WCLimit : 300
% 0.12/0.59 % DateTime : Sun Sep 20 20:09:46 UTC 2026
% 0.12/0.59 % CPUTime :
% 0.12/0.60 % Drodi V4.1.1
% 0.16/0.63 % Refutation found
% 0.16/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.63 fof(f1,axiom,(
% 0.16/0.63 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f2,axiom,(
% 0.16/0.63 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f3,axiom,(
% 0.16/0.63 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f4,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f5,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f6,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f7,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f8,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f9,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f10,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f11,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f12,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f13,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f14,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f15,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f16,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f17,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f18,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f19,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f20,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f21,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f22,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f23,negated_conjecture,(
% 0.16/0.63 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f24,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c2) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f25,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f26,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f27,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c2) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f28,negated_conjecture,(
% 0.16/0.63 ( inverse(sk_c2) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f29,negated_conjecture,(
% 0.16/0.63 (![X3,X4,X1,X2]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(X4,sk_c5) != sk_c7| inverse(X4) != sk_c5| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.16/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.63 fof(f30,plain,(
% 0.16/0.63 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.63 fof(f31,plain,(
% 0.16/0.63 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.63 fof(f32,plain,(
% 0.16/0.63 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.63 fof(f33,plain,(
% 0.16/0.63 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.63 fof(f34,plain,(
% 0.16/0.63 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/0.63 fof(f35,plain,(
% 0.16/0.63 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.63 fof(f36,plain,(
% 0.16/0.63 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.63 fof(f37,plain,(
% 0.16/0.63 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.63 fof(f38,plain,(
% 0.16/0.63 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.63 fof(f39,plain,(
% 0.16/0.63 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f10])).
% 0.16/0.63 fof(f40,plain,(
% 0.16/0.63 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f11])).
% 0.16/0.63 fof(f41,plain,(
% 0.16/0.63 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/0.63 fof(f42,plain,(
% 0.16/0.63 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/0.63 fof(f43,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/0.63 fof(f44,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.63 fof(f45,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/0.63 fof(f46,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/0.63 fof(f47,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.63 fof(f48,plain,(
% 0.16/0.63 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/0.63 fof(f49,plain,(
% 0.16/0.63 multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/0.63 fof(f50,plain,(
% 0.16/0.63 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f21])).
% 0.16/0.63 fof(f51,plain,(
% 0.16/0.63 multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/0.63 fof(f52,plain,(
% 0.16/0.63 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f23])).
% 0.16/0.63 fof(f53,plain,(
% 0.16/0.63 inverse(sk_c2)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f24])).
% 0.16/0.63 fof(f54,plain,(
% 0.16/0.63 inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f25])).
% 0.16/0.63 fof(f55,plain,(
% 0.16/0.63 inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f26])).
% 0.16/0.63 fof(f56,plain,(
% 0.16/0.63 inverse(sk_c2)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f27])).
% 0.16/0.63 fof(f57,plain,(
% 0.16/0.63 inverse(sk_c2)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f28])).
% 0.16/0.63 fof(f58,plain,(
% 0.16/0.63 ![X2]: (((![X1]: ((((![X4]: ((((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(X4,sk_c5)=sk_c7)|~inverse(X4)=sk_c5))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.16/0.63 inference(miniscoping,[status(thm)],[f29])).
% 0.16/0.63 fof(f59,plain,(
% 0.16/0.63 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.16/0.63 inference(cnf_transformation,[status(thm)],[f58])).
% 0.16/0.63 fof(f60,definition,(
% 0.16/0.63 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f61,plain,(
% 0.16/0.63 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f60])).
% 0.16/0.63 fof(f63,definition,(
% 0.16/0.63 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f64,plain,(
% 0.16/0.63 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f63])).
% 0.16/0.63 fof(f65,plain,(
% 0.16/0.63 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f63])).
% 0.16/0.63 fof(f66,plain,(
% 0.16/0.63 sQ0_spl|sQ1_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.16/0.63 fof(f67,definition,(
% 0.16/0.63 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f68,plain,(
% 0.16/0.63 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f67])).
% 0.16/0.63 fof(f70,plain,(
% 0.16/0.63 sQ0_spl|sQ2_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.16/0.63 fof(f71,definition,(
% 0.16/0.63 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f72,plain,(
% 0.16/0.63 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f71])).
% 0.16/0.63 fof(f74,plain,(
% 0.16/0.63 sQ0_spl|sQ3_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.16/0.63 fof(f75,definition,(
% 0.16/0.63 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f76,plain,(
% 0.16/0.63 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f75])).
% 0.16/0.63 fof(f78,plain,(
% 0.16/0.63 sQ0_spl|sQ4_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.16/0.63 fof(f79,definition,(
% 0.16/0.63 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f80,plain,(
% 0.16/0.63 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f79])).
% 0.16/0.63 fof(f82,plain,(
% 0.16/0.63 sQ0_spl|sQ5_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.16/0.63 fof(f83,definition,(
% 0.16/0.63 sQ6_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f84,plain,(
% 0.16/0.63 inverse(sk_c1)=sk_c7|~sQ6_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f83])).
% 0.16/0.63 fof(f86,plain,(
% 0.16/0.63 sQ6_spl|sQ1_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.16/0.63 fof(f87,plain,(
% 0.16/0.63 sQ6_spl|sQ2_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.16/0.63 fof(f88,plain,(
% 0.16/0.63 sQ6_spl|sQ3_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.16/0.63 fof(f89,plain,(
% 0.16/0.63 sQ6_spl|sQ4_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.16/0.63 fof(f90,plain,(
% 0.16/0.63 sQ6_spl|sQ5_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.16/0.63 fof(f91,definition,(
% 0.16/0.63 sQ7_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f92,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c5)=sk_c6|~sQ7_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f91])).
% 0.16/0.63 fof(f93,plain,(
% 0.16/0.63 ~multiply(sk_c7,sk_c5)=sk_c6|sQ7_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f91])).
% 0.16/0.63 fof(f94,plain,(
% 0.16/0.63 sQ7_spl|sQ1_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.16/0.63 fof(f95,plain,(
% 0.16/0.63 sQ7_spl|sQ2_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.16/0.63 fof(f96,plain,(
% 0.16/0.63 sQ7_spl|sQ3_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.16/0.63 fof(f97,plain,(
% 0.16/0.63 sQ7_spl|sQ4_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.16/0.63 fof(f98,plain,(
% 0.16/0.63 sQ7_spl|sQ5_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.16/0.63 fof(f99,definition,(
% 0.16/0.63 sQ8_spl <=> (multiply(sk_c2,sk_c5)=sk_c7)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f100,plain,(
% 0.16/0.63 multiply(sk_c2,sk_c5)=sk_c7|~sQ8_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f99])).
% 0.16/0.63 fof(f102,plain,(
% 0.16/0.63 sQ8_spl|sQ1_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.16/0.63 fof(f103,plain,(
% 0.16/0.63 sQ8_spl|sQ2_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.16/0.63 fof(f104,plain,(
% 0.16/0.63 sQ8_spl|sQ3_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.16/0.63 fof(f105,plain,(
% 0.16/0.63 sQ8_spl|sQ4_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.16/0.63 fof(f106,plain,(
% 0.16/0.63 sQ8_spl|sQ5_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.16/0.63 fof(f107,definition,(
% 0.16/0.63 sQ9_spl <=> (inverse(sk_c2)=sk_c5)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f108,plain,(
% 0.16/0.63 inverse(sk_c2)=sk_c5|~sQ9_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f107])).
% 0.16/0.63 fof(f110,plain,(
% 0.16/0.63 sQ9_spl|sQ1_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.16/0.63 fof(f111,plain,(
% 0.16/0.63 sQ9_spl|sQ2_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.16/0.63 fof(f112,plain,(
% 0.16/0.63 sQ9_spl|sQ3_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.16/0.63 fof(f113,plain,(
% 0.16/0.63 sQ9_spl|sQ4_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.16/0.63 fof(f114,plain,(
% 0.16/0.63 sQ9_spl|sQ5_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.16/0.63 fof(f115,definition,(
% 0.16/0.63 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f116,plain,(
% 0.16/0.63 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.16/0.63 inference(component_clause,[status(thm)],[f115])).
% 0.16/0.63 fof(f118,definition,(
% 0.16/0.63 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5))),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f119,plain,(
% 0.16/0.63 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~sQ11_spl)),
% 0.16/0.63 inference(component_clause,[status(thm)],[f118])).
% 0.16/0.63 fof(f121,definition,(
% 0.16/0.63 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f122,plain,(
% 0.16/0.63 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.16/0.63 inference(component_clause,[status(thm)],[f121])).
% 0.16/0.63 fof(f124,definition,(
% 0.16/0.63 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f125,plain,(
% 0.16/0.63 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ13_spl)),
% 0.16/0.63 inference(component_clause,[status(thm)],[f124])).
% 0.16/0.63 fof(f127,plain,(
% 0.16/0.63 sQ10_spl|~sQ7_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f59,f115,f91,f118,f63,f121,f124])).
% 0.16/0.63 fof(f133,plain,(
% 0.16/0.63 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~sQ3_spl)),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f72,f32])).
% 0.16/0.63 fof(f137,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c3)=identity|~sQ2_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f68,f31])).
% 0.16/0.63 fof(f138,plain,(
% 0.16/0.63 multiply(sk_c6,sk_c4)=identity|~sQ4_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f76,f31])).
% 0.16/0.63 fof(f139,plain,(
% 0.16/0.63 multiply(sk_c5,sk_c2)=identity|~sQ9_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.16/0.63 fof(f140,plain,(
% 0.16/0.63 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.16/0.63 fof(f141,plain,(
% 0.16/0.63 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f140])).
% 0.16/0.63 fof(f142,plain,(
% 0.16/0.63 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c5,X0))|~sQ7_spl)),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f92,f32])).
% 0.16/0.63 fof(f144,plain,(
% 0.16/0.63 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ5_spl),
% 0.16/0.63 inference(resolution,[status(thm)],[f125,f80])).
% 0.16/0.63 fof(f150,plain,(
% 0.16/0.63 ~inverse(sk_c2)=sk_c6|~sk_c7=sk_c6|~sQ13_spl|~sQ8_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f100,f125])).
% 0.16/0.63 fof(f151,plain,(
% 0.16/0.63 ~sk_c6=sk_c6|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f76,f144])).
% 0.16/0.63 fof(f152,plain,(
% 0.16/0.63 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f151])).
% 0.16/0.63 fof(f153,plain,(
% 0.16/0.63 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f152])).
% 0.16/0.63 fof(f154,plain,(
% 0.16/0.63 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.16/0.63 inference(resolution,[status(thm)],[f122,f72])).
% 0.16/0.63 fof(f156,plain,(
% 0.16/0.63 ~inverse(identity)=sk_c7|~sk_c6=sk_c7|~sQ12_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f30,f122])).
% 0.16/0.63 fof(f159,plain,(
% 0.16/0.63 ~sk_c7=sk_c7|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f68,f154])).
% 0.16/0.63 fof(f160,plain,(
% 0.16/0.63 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f159])).
% 0.16/0.63 fof(f161,plain,(
% 0.16/0.63 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f160])).
% 0.16/0.63 fof(f162,plain,(
% 0.16/0.63 ~inverse(sk_c2)=sk_c5|~sQ11_spl|~sQ8_spl),
% 0.16/0.63 inference(resolution,[status(thm)],[f119,f100])).
% 0.16/0.63 fof(f165,plain,(
% 0.16/0.63 ~sk_c5=sk_c7|~inverse(identity)=sk_c5|~sQ11_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f30,f119])).
% 0.16/0.63 fof(f167,plain,(
% 0.16/0.63 ~sk_c6=sk_c7|~inverse(sk_c4)=sk_c5|~sQ11_spl|~sQ5_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f80,f119])).
% 0.16/0.63 fof(f169,plain,(
% 0.16/0.63 ~sk_c5=sk_c5|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f108,f162])).
% 0.16/0.63 fof(f170,plain,(
% 0.16/0.63 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f169])).
% 0.16/0.63 fof(f171,plain,(
% 0.16/0.63 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f170])).
% 0.16/0.63 fof(f172,plain,(
% 0.16/0.63 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ0_spl),
% 0.16/0.63 inference(resolution,[status(thm)],[f116,f61])).
% 0.16/0.63 fof(f173,plain,(
% 0.16/0.63 ~identity=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~sQ10_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f31,f116])).
% 0.16/0.63 fof(f174,plain,(
% 0.16/0.63 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~sQ10_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f30,f116])).
% 0.16/0.63 fof(f177,plain,(
% 0.16/0.63 ~sk_c7=sk_c7|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f84,f172])).
% 0.16/0.63 fof(f178,plain,(
% 0.16/0.63 $false|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f177])).
% 0.16/0.63 fof(f179,plain,(
% 0.16/0.63 ~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f178])).
% 0.16/0.63 fof(f180,definition,(
% 0.16/0.63 sQ14_spl <=> (identity=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f181,plain,(
% 0.16/0.63 identity=sk_c6|~sQ14_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f180])).
% 0.16/0.63 fof(f182,plain,(
% 0.16/0.63 ~identity=sk_c6|sQ14_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f180])).
% 0.16/0.63 fof(f183,definition,(
% 0.16/0.63 sQ15_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f186,plain,(
% 0.16/0.63 ~sQ14_spl|~sQ15_spl|~sQ10_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f173,f180,f183,f115])).
% 0.16/0.63 fof(f187,definition,(
% 0.16/0.63 sQ16_spl <=> (sk_c7=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f188,plain,(
% 0.16/0.63 sk_c7=sk_c6|~sQ16_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f187])).
% 0.16/0.63 fof(f189,plain,(
% 0.16/0.63 ~sk_c7=sk_c6|sQ16_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f187])).
% 0.16/0.63 fof(f190,definition,(
% 0.16/0.63 sQ17_spl <=> (inverse(identity)=sk_c7)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f192,plain,(
% 0.16/0.63 ~inverse(identity)=sk_c7|sQ17_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f190])).
% 0.16/0.63 fof(f193,plain,(
% 0.16/0.63 ~sQ16_spl|~sQ17_spl|~sQ10_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f174,f187,f190,f115])).
% 0.16/0.63 fof(f194,definition,(
% 0.16/0.63 sQ18_spl <=> (sk_c6=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f196,plain,(
% 0.16/0.63 ~sk_c6=sk_c6|sQ18_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f194])).
% 0.16/0.63 fof(f198,plain,(
% 0.16/0.63 $false|sQ18_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f196])).
% 0.16/0.63 fof(f199,plain,(
% 0.16/0.63 sQ18_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f198])).
% 0.16/0.63 fof(f202,definition,(
% 0.16/0.63 sQ19_spl <=> (sk_c5=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f204,plain,(
% 0.16/0.63 ~sk_c5=sk_c6|sQ19_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f202])).
% 0.16/0.63 fof(f214,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c5)|~sQ3_spl|~sQ1_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f64,f133])).
% 0.16/0.63 fof(f221,plain,(
% 0.16/0.63 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f137,f32])).
% 0.16/0.63 fof(f222,plain,(
% 0.16/0.63 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f221])).
% 0.16/0.63 fof(f224,plain,(
% 0.16/0.63 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f138,f32])).
% 0.16/0.63 fof(f225,plain,(
% 0.16/0.63 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f224])).
% 0.16/0.63 fof(f229,plain,(
% 0.16/0.63 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c7,X0))|~sQ2_spl|~sQ3_spl)),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f133,f222])).
% 0.16/0.63 fof(f230,plain,(
% 0.16/0.63 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f72,f222])).
% 0.16/0.63 fof(f235,plain,(
% 0.16/0.63 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f80,f225])).
% 0.16/0.63 fof(f246,plain,(
% 0.16/0.63 sk_c6=multiply(sk_c3,sk_c5)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f230,f214])).
% 0.16/0.63 fof(f247,plain,(
% 0.16/0.63 sk_c5=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f246,f222])).
% 0.16/0.63 fof(f308,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c6)=multiply(sk_c3,sk_c5)|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f235,f133])).
% 0.16/0.63 fof(f310,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f246,f308])).
% 0.16/0.63 fof(f341,plain,(
% 0.16/0.63 sk_c5=sk_c6|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f310,f247])).
% 0.16/0.63 fof(f342,plain,(
% 0.16/0.63 multiply(sk_c6,sk_c6)=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f310,f229])).
% 0.16/0.63 fof(f345,plain,(
% 0.16/0.63 $false|sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.16/0.63 inference(forward_subsumption_resolution,[status(thm)],[f341,f204])).
% 0.16/0.63 fof(f346,plain,(
% 0.16/0.63 sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f345])).
% 0.16/0.63 fof(f347,plain,(
% 0.16/0.63 sk_c5=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f235,f342])).
% 0.16/0.63 fof(f348,plain,(
% 0.16/0.63 sk_c5=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f310,f347])).
% 0.16/0.63 fof(f355,plain,(
% 0.16/0.63 sk_c6=multiply(sk_c3,sk_c6)|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f348,f246])).
% 0.16/0.63 fof(f360,plain,(
% 0.16/0.63 ~multiply(sk_c7,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f348,f93])).
% 0.16/0.63 fof(f361,plain,(
% 0.16/0.63 multiply(sk_c6,sk_c7)=sk_c6|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f348,f64])).
% 0.16/0.63 fof(f366,plain,(
% 0.16/0.63 sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f72,f355])).
% 0.16/0.63 fof(f367,plain,(
% 0.16/0.63 ~sk_c6=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f310,f360])).
% 0.16/0.63 fof(f368,plain,(
% 0.16/0.63 $false|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f367])).
% 0.16/0.63 fof(f369,plain,(
% 0.16/0.63 ~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f368])).
% 0.16/0.63 fof(f384,plain,(
% 0.16/0.63 ~identity=sk_c7|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ14_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f366,f182])).
% 0.16/0.63 fof(f385,plain,(
% 0.16/0.63 ~sk_c7=sk_c7|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ16_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f366,f189])).
% 0.16/0.63 fof(f386,plain,(
% 0.16/0.63 $false|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ16_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f385])).
% 0.16/0.63 fof(f387,plain,(
% 0.16/0.63 ~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ16_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f386])).
% 0.16/0.63 fof(f388,definition,(
% 0.16/0.63 sQ21_spl <=> (identity=sk_c7)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f390,plain,(
% 0.16/0.63 ~identity=sk_c7|sQ21_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f388])).
% 0.16/0.63 fof(f395,definition,(
% 0.16/0.63 sQ23_spl <=> (sk_c5=sk_c7)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f397,plain,(
% 0.16/0.63 ~sk_c5=sk_c7|sQ23_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f395])).
% 0.16/0.63 fof(f398,definition,(
% 0.16/0.63 sQ24_spl <=> (inverse(identity)=sk_c5)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f401,plain,(
% 0.16/0.63 ~sQ23_spl|~sQ24_spl|~sQ11_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f165,f395,f398,f118])).
% 0.16/0.63 fof(f402,definition,(
% 0.16/0.63 sQ25_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f404,plain,(
% 0.16/0.63 ~inverse(sk_c4)=sk_c5|sQ25_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f402])).
% 0.16/0.63 fof(f405,plain,(
% 0.16/0.63 ~sQ16_spl|~sQ25_spl|~sQ11_spl|~sQ5_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f167,f187,f402,f118,f79])).
% 0.16/0.63 fof(f416,plain,(
% 0.16/0.63 ~sk_c6=sk_c5|~sQ4_spl|sQ25_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f76,f404])).
% 0.16/0.63 fof(f446,plain,(
% 0.16/0.63 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ0_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f61,f141])).
% 0.16/0.63 fof(f448,plain,(
% 0.16/0.63 sk_c5=multiply(inverse(sk_c2),sk_c7)|~sQ8_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f100,f141])).
% 0.16/0.63 fof(f460,plain,(
% 0.16/0.63 sk_c7=multiply(sk_c7,sk_c6)|~sQ6_spl|~sQ0_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f84,f446])).
% 0.16/0.63 fof(f462,plain,(
% 0.16/0.63 sk_c5=multiply(sk_c5,sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f108,f448])).
% 0.16/0.63 fof(f465,plain,(
% 0.16/0.63 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ0_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f460,f141])).
% 0.16/0.63 fof(f468,plain,(
% 0.16/0.63 sk_c6=identity|~sQ6_spl|~sQ0_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f31,f465])).
% 0.16/0.63 fof(f469,plain,(
% 0.16/0.63 $false|sQ14_spl|~sQ6_spl|~sQ0_spl),
% 0.16/0.63 inference(forward_subsumption_resolution,[status(thm)],[f468,f182])).
% 0.16/0.63 fof(f470,plain,(
% 0.16/0.63 sQ14_spl|~sQ6_spl|~sQ0_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f469])).
% 0.16/0.63 fof(f472,plain,(
% 0.16/0.63 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c5,X0))|~sQ14_spl|~sQ7_spl)),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f181,f142])).
% 0.16/0.63 fof(f473,plain,(
% 0.16/0.63 multiply(identity,sk_c4)=identity|~sQ14_spl|~sQ4_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f181,f138])).
% 0.16/0.63 fof(f477,plain,(
% 0.16/0.63 ~multiply(identity,sk_c7)=sk_c5|~sQ14_spl|sQ1_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f181,f65])).
% 0.16/0.63 fof(f479,plain,(
% 0.16/0.63 multiply(sk_c7,sk_c5)=identity|~sQ14_spl|~sQ7_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f181,f92])).
% 0.16/0.63 fof(f480,plain,(
% 0.16/0.63 inverse(sk_c4)=identity|~sQ14_spl|~sQ4_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f181,f76])).
% 0.16/0.63 fof(f482,plain,(
% 0.16/0.63 ~sk_c7=identity|~sQ14_spl|sQ16_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f181,f189])).
% 0.16/0.63 fof(f483,plain,(
% 0.16/0.63 ![X0]: (X0=multiply(sk_c7,multiply(sk_c5,X0))|~sQ14_spl|~sQ7_spl)),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f472])).
% 0.16/0.63 fof(f484,plain,(
% 0.16/0.63 sk_c4=identity|~sQ14_spl|~sQ4_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f473])).
% 0.16/0.63 fof(f486,plain,(
% 0.16/0.63 ~sk_c7=sk_c5|~sQ14_spl|sQ1_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f477])).
% 0.16/0.63 fof(f494,plain,(
% 0.16/0.63 inverse(identity)=identity|~sQ14_spl|~sQ4_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f484,f480])).
% 0.16/0.63 fof(f499,plain,(
% 0.16/0.63 ~identity=sk_c7|~sQ14_spl|~sQ4_spl|sQ17_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f494,f192])).
% 0.16/0.63 fof(f517,plain,(
% 0.16/0.63 sk_c7=multiply(sk_c7,sk_c5)|~sQ14_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f462,f483])).
% 0.16/0.63 fof(f519,plain,(
% 0.16/0.63 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ9_spl|~sQ8_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f462,f141])).
% 0.16/0.63 fof(f521,plain,(
% 0.16/0.63 sk_c7=identity|~sQ14_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f479,f517])).
% 0.16/0.63 fof(f522,plain,(
% 0.16/0.63 $false|sQ21_spl|~sQ14_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.16/0.63 inference(forward_subsumption_resolution,[status(thm)],[f521,f390])).
% 0.16/0.63 fof(f523,plain,(
% 0.16/0.63 sQ21_spl|~sQ14_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f522])).
% 0.16/0.63 fof(f525,plain,(
% 0.16/0.63 sk_c7=identity|~sQ9_spl|~sQ8_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f31,f519])).
% 0.16/0.63 fof(f526,plain,(
% 0.16/0.63 ~sQ21_spl|~sQ14_spl|~sQ4_spl|sQ17_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f499,f388,f180,f75,f190])).
% 0.16/0.63 fof(f527,plain,(
% 0.16/0.63 ~sQ21_spl|~sQ14_spl|sQ16_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f482,f388,f180,f187])).
% 0.16/0.63 fof(f528,plain,(
% 0.16/0.63 sk_c7=identity|~sQ14_spl|~sQ16_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f181,f188])).
% 0.16/0.63 fof(f538,plain,(
% 0.16/0.63 multiply(identity,sk_c7)=sk_c5|~sQ14_spl|~sQ1_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f181,f64])).
% 0.16/0.63 fof(f539,plain,(
% 0.16/0.63 sk_c7=sk_c5|~sQ14_spl|~sQ1_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f538])).
% 0.16/0.63 fof(f540,plain,(
% 0.16/0.63 $false|sQ23_spl|~sQ14_spl|~sQ1_spl),
% 0.16/0.63 inference(forward_subsumption_resolution,[status(thm)],[f539,f397])).
% 0.16/0.63 fof(f541,plain,(
% 0.16/0.63 sQ23_spl|~sQ14_spl|~sQ1_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f540])).
% 0.16/0.63 fof(f546,plain,(
% 0.16/0.63 multiply(identity,sk_c5)=identity|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f525,f479])).
% 0.16/0.63 fof(f559,plain,(
% 0.16/0.63 sk_c5=identity|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f546])).
% 0.16/0.63 fof(f565,plain,(
% 0.16/0.63 ~identity=sk_c5|~sQ9_spl|~sQ8_spl|~sQ14_spl|sQ1_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f525,f486])).
% 0.16/0.63 fof(f570,plain,(
% 0.16/0.63 $false|sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.16/0.63 inference(forward_subsumption_resolution,[status(thm)],[f559,f565])).
% 0.16/0.63 fof(f571,plain,(
% 0.16/0.63 sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f570])).
% 0.16/0.63 fof(f577,plain,(
% 0.16/0.63 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f525,f122])).
% 0.16/0.63 fof(f578,plain,(
% 0.16/0.63 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f181,f577])).
% 0.16/0.63 fof(f579,plain,(
% 0.16/0.63 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f525,f578])).
% 0.16/0.63 fof(f584,plain,(
% 0.16/0.63 ~sQ17_spl|~sQ16_spl|~sQ12_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f156,f190,f187,f121])).
% 0.16/0.63 fof(f605,definition,(
% 0.16/0.63 sQ31_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.16/0.63 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.16/0.63 fof(f607,plain,(
% 0.16/0.63 ~inverse(sk_c2)=sk_c6|sQ31_spl),
% 0.16/0.63 inference(component_clause,[status(thm)],[f605])).
% 0.16/0.63 fof(f608,plain,(
% 0.16/0.63 ~sQ31_spl|~sQ16_spl|~sQ13_spl|~sQ8_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f150,f605,f187,f124,f99])).
% 0.16/0.63 fof(f612,plain,(
% 0.16/0.63 ~sk_c5=sk_c6|~sQ9_spl|sQ31_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f108,f607])).
% 0.16/0.63 fof(f613,plain,(
% 0.16/0.63 ~sk_c5=identity|~sQ14_spl|~sQ9_spl|sQ31_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f181,f612])).
% 0.16/0.63 fof(f626,plain,(
% 0.16/0.63 multiply(identity,sk_c2)=identity|~sQ8_spl|~sQ14_spl|~sQ7_spl|~sQ9_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f559,f139])).
% 0.16/0.63 fof(f627,plain,(
% 0.16/0.63 inverse(sk_c2)=identity|~sQ8_spl|~sQ14_spl|~sQ7_spl|~sQ9_spl),
% 0.16/0.63 inference(backward_demodulation,[status(thm)],[f559,f108])).
% 0.16/0.63 fof(f628,plain,(
% 0.16/0.63 sk_c2=identity|~sQ8_spl|~sQ14_spl|~sQ7_spl|~sQ9_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f30,f626])).
% 0.16/0.63 fof(f631,plain,(
% 0.16/0.63 ~identity=identity|~sQ8_spl|~sQ7_spl|~sQ14_spl|~sQ9_spl|sQ31_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f559,f613])).
% 0.16/0.63 fof(f632,plain,(
% 0.16/0.63 $false|~sQ8_spl|~sQ7_spl|~sQ14_spl|~sQ9_spl|sQ31_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f631])).
% 0.16/0.63 fof(f633,plain,(
% 0.16/0.63 ~sQ8_spl|~sQ7_spl|~sQ14_spl|~sQ9_spl|sQ31_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f632])).
% 0.16/0.63 fof(f640,plain,(
% 0.16/0.63 inverse(identity)=identity|~sQ8_spl|~sQ14_spl|~sQ7_spl|~sQ9_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f628,f627])).
% 0.16/0.63 fof(f644,plain,(
% 0.16/0.63 ~inverse(inverse(identity))=identity|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.16/0.63 inference(resolution,[status(thm)],[f579,f31])).
% 0.16/0.63 fof(f649,plain,(
% 0.16/0.63 ~inverse(identity)=identity|~sQ7_spl|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f640,f644])).
% 0.16/0.63 fof(f650,plain,(
% 0.16/0.63 ~identity=identity|~sQ7_spl|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f640,f649])).
% 0.16/0.63 fof(f651,plain,(
% 0.16/0.63 $false|~sQ7_spl|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.16/0.63 inference(trivial_equality_resolution,[status(thm)],[f650])).
% 0.16/0.63 fof(f652,plain,(
% 0.16/0.63 ~sQ7_spl|~sQ14_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f651])).
% 0.16/0.63 fof(f679,plain,(
% 0.16/0.63 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.16/0.63 inference(paramodulation,[status(thm)],[f361,f141])).
% 0.16/0.63 fof(f682,plain,(
% 0.16/0.63 sk_c7=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.16/0.63 inference(forward_demodulation,[status(thm)],[f31,f679])).
% 0.16/0.63 fof(f684,plain,(
% 0.16/0.63 ~sQ19_spl|~sQ4_spl|sQ25_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f416,f202,f75,f402])).
% 0.16/0.63 fof(f712,plain,(
% 0.16/0.63 $false|sQ14_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.16/0.63 inference(forward_subsumption_resolution,[status(thm)],[f682,f384])).
% 0.16/0.63 fof(f713,plain,(
% 0.16/0.63 sQ14_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.16/0.63 inference(contradiction_clause,[status(thm)],[f712])).
% 0.16/0.63 fof(f717,plain,(
% 0.16/0.63 sQ21_spl|~sQ14_spl|~sQ16_spl),
% 0.16/0.63 inference(split_clause,[status(thm)],[f528,f388,f180,f187])).
% 0.16/0.63 fof(f723,plain,(
% 0.16/0.63 $false),
% 0.16/0.63 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f127,f153,f161,f171,f179,f186,f193,f199,f346,f369,f387,f401,f405,f470,f523,f526,f527,f541,f571,f584,f608,f633,f652,f684,f713,f717])).
% 0.16/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.66 % Elapsed time: 0.062516 seconds
% 0.16/0.66 % CPU time: 0.192442 seconds
% 0.16/0.66 % Total memory used: 103.428 MB
% 0.16/0.66 % Net memory used: 103.188 MB
%------------------------------------------------------------------------------