%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP365-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:36:31 PM UTC 2026
% Result : Unsatisfiable 0.06s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP365-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33 % Computer : n009.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Sun Sep 20 20:10:13 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.06/0.34 % Drodi V4.1.1
% 0.06/0.35 % Refutation found
% 0.06/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.06/0.35 fof(f1,axiom,(
% 0.06/0.35 (![X]: (multiply(identity,X) = X ))),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f2,axiom,(
% 0.06/0.35 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f3,axiom,(
% 0.06/0.35 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f4,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f5,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f6,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f7,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f8,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f9,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f10,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f11,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f12,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f13,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f14,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f15,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f16,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f17,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f18,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f19,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f20,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f21,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f22,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f23,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f24,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c3,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f25,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c3,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f26,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c3,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f27,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c3,sk_c6) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f28,negated_conjecture,(
% 0.06/0.35 ( multiply(sk_c3,sk_c6) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f29,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c3) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f30,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c3) = sk_c6| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f31,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c3) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f32,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c3) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f33,negated_conjecture,(
% 0.06/0.35 ( inverse(sk_c3) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f34,negated_conjecture,(
% 0.06/0.35 (![X3,X4,X5,X1,X2]: (( multiply(sk_c6,sk_c8) != sk_c7| multiply(sk_c8,X3) != sk_c7| multiply(X4,sk_c8) != X3| inverse(X4) != sk_c8| multiply(X5,sk_c6) != sk_c8| inverse(X5) != sk_c6| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X2,sk_c8) != sk_c6| inverse(X2) != sk_c8 ) ))),
% 0.06/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.35 fof(f35,plain,(
% 0.06/0.35 ![X0]: (multiply(identity,X0)=X0)),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f1])).
% 0.06/0.35 fof(f36,plain,(
% 0.06/0.35 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f2])).
% 0.06/0.35 fof(f37,plain,(
% 0.06/0.35 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f3])).
% 0.06/0.35 fof(f38,plain,(
% 0.06/0.35 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f4])).
% 0.06/0.35 fof(f39,plain,(
% 0.06/0.35 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.06/0.35 fof(f40,plain,(
% 0.06/0.35 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f6])).
% 0.06/0.35 fof(f41,plain,(
% 0.06/0.35 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f7])).
% 0.06/0.35 fof(f42,plain,(
% 0.06/0.35 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f8])).
% 0.06/0.35 fof(f43,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f9])).
% 0.06/0.35 fof(f44,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f10])).
% 0.06/0.35 fof(f45,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f11])).
% 0.06/0.35 fof(f46,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f12])).
% 0.06/0.35 fof(f47,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f13])).
% 0.06/0.35 fof(f48,plain,(
% 0.06/0.35 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c8,sk_c7)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f14])).
% 0.06/0.35 fof(f49,plain,(
% 0.06/0.35 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c4,sk_c8)=sk_c7),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f15])).
% 0.06/0.35 fof(f50,plain,(
% 0.06/0.35 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f16])).
% 0.06/0.35 fof(f51,plain,(
% 0.06/0.35 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c5,sk_c8)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f17])).
% 0.06/0.35 fof(f52,plain,(
% 0.06/0.35 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f18])).
% 0.06/0.35 fof(f53,plain,(
% 0.06/0.35 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f19])).
% 0.06/0.35 fof(f54,plain,(
% 0.06/0.35 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f20])).
% 0.06/0.35 fof(f55,plain,(
% 0.06/0.35 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f21])).
% 0.06/0.35 fof(f56,plain,(
% 0.06/0.35 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f22])).
% 0.06/0.35 fof(f57,plain,(
% 0.06/0.35 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f23])).
% 0.06/0.35 fof(f58,plain,(
% 0.06/0.35 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f24])).
% 0.06/0.35 fof(f59,plain,(
% 0.06/0.35 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f25])).
% 0.06/0.35 fof(f60,plain,(
% 0.06/0.35 multiply(sk_c3,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f26])).
% 0.06/0.35 fof(f61,plain,(
% 0.06/0.35 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f27])).
% 0.06/0.35 fof(f62,plain,(
% 0.06/0.35 multiply(sk_c3,sk_c6)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f28])).
% 0.06/0.35 fof(f63,plain,(
% 0.06/0.35 inverse(sk_c3)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f29])).
% 0.06/0.35 fof(f64,plain,(
% 0.06/0.35 inverse(sk_c3)=sk_c6|multiply(sk_c4,sk_c8)=sk_c7),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f30])).
% 0.06/0.35 fof(f65,plain,(
% 0.06/0.35 inverse(sk_c3)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f31])).
% 0.06/0.35 fof(f66,plain,(
% 0.06/0.35 inverse(sk_c3)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f32])).
% 0.06/0.35 fof(f67,plain,(
% 0.06/0.35 inverse(sk_c3)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f33])).
% 0.06/0.35 fof(f68,plain,(
% 0.06/0.35 ![X2]: (((![X1]: ((((![X5]: (((![X4]: ((![X3]: ((~multiply(sk_c6,sk_c8)=sk_c7|~multiply(sk_c8,X3)=sk_c7)|~multiply(X4,sk_c8)=X3))|~inverse(X4)=sk_c8))|~multiply(X5,sk_c6)=sk_c8)|~inverse(X5)=sk_c6))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X2,sk_c8)=sk_c6)|~inverse(X2)=sk_c8)),
% 0.06/0.35 inference(miniscoping,[status(thm)],[f34])).
% 0.06/0.35 fof(f69,plain,(
% 0.06/0.35 ![X0,X1,X2,X3,X4]: (~multiply(sk_c6,sk_c8)=sk_c7|~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~multiply(X2,sk_c6)=sk_c8|~inverse(X2)=sk_c6|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8)),
% 0.06/0.35 inference(cnf_transformation,[status(thm)],[f68])).
% 0.06/0.35 fof(f70,definition,(
% 0.06/0.35 sQ0_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f71,plain,(
% 0.06/0.35 multiply(sk_c6,sk_c8)=sk_c7|~sQ0_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f70])).
% 0.06/0.35 fof(f72,plain,(
% 0.06/0.35 ~multiply(sk_c6,sk_c8)=sk_c7|sQ0_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f70])).
% 0.06/0.35 fof(f73,definition,(
% 0.06/0.35 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f74,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f73])).
% 0.06/0.35 fof(f75,plain,(
% 0.06/0.35 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f73])).
% 0.06/0.35 fof(f76,plain,(
% 0.06/0.35 sQ0_spl|sQ1_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.06/0.35 fof(f77,definition,(
% 0.06/0.35 sQ2_spl <=> (multiply(sk_c4,sk_c8)=sk_c7)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f78,plain,(
% 0.06/0.35 multiply(sk_c4,sk_c8)=sk_c7|~sQ2_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f77])).
% 0.06/0.35 fof(f80,plain,(
% 0.06/0.35 sQ0_spl|sQ2_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.06/0.35 fof(f81,definition,(
% 0.06/0.35 sQ3_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f82,plain,(
% 0.06/0.35 inverse(sk_c4)=sk_c8|~sQ3_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f81])).
% 0.06/0.35 fof(f84,plain,(
% 0.06/0.35 sQ0_spl|sQ3_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.06/0.35 fof(f85,definition,(
% 0.06/0.35 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f86,plain,(
% 0.06/0.35 multiply(sk_c5,sk_c8)=sk_c6|~sQ4_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f85])).
% 0.06/0.35 fof(f88,plain,(
% 0.06/0.35 sQ0_spl|sQ4_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.06/0.35 fof(f89,definition,(
% 0.06/0.35 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f90,plain,(
% 0.06/0.35 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f89])).
% 0.06/0.35 fof(f92,plain,(
% 0.06/0.35 sQ0_spl|sQ5_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.06/0.35 fof(f93,definition,(
% 0.06/0.35 sQ6_spl <=> (multiply(sk_c8,sk_c2)=sk_c7)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f94,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c2)=sk_c7|~sQ6_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f93])).
% 0.06/0.35 fof(f96,plain,(
% 0.06/0.35 sQ6_spl|sQ1_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.06/0.35 fof(f97,plain,(
% 0.06/0.35 sQ6_spl|sQ2_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.06/0.35 fof(f98,plain,(
% 0.06/0.35 sQ6_spl|sQ3_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.06/0.35 fof(f99,plain,(
% 0.06/0.35 sQ6_spl|sQ4_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.06/0.35 fof(f100,plain,(
% 0.06/0.35 sQ6_spl|sQ5_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.06/0.35 fof(f101,definition,(
% 0.06/0.35 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c2)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f102,plain,(
% 0.06/0.35 multiply(sk_c1,sk_c8)=sk_c2|~sQ7_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f101])).
% 0.06/0.35 fof(f104,plain,(
% 0.06/0.35 sQ7_spl|sQ1_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.06/0.35 fof(f105,plain,(
% 0.06/0.35 sQ7_spl|sQ2_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.06/0.35 fof(f106,plain,(
% 0.06/0.35 sQ7_spl|sQ3_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.06/0.35 fof(f107,plain,(
% 0.06/0.35 sQ7_spl|sQ4_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.06/0.35 fof(f108,plain,(
% 0.06/0.35 sQ7_spl|sQ5_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.06/0.35 fof(f109,definition,(
% 0.06/0.35 sQ8_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f110,plain,(
% 0.06/0.35 inverse(sk_c1)=sk_c8|~sQ8_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f109])).
% 0.06/0.35 fof(f112,plain,(
% 0.06/0.35 sQ8_spl|sQ1_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.06/0.35 fof(f113,plain,(
% 0.06/0.35 sQ8_spl|sQ2_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.06/0.35 fof(f114,plain,(
% 0.06/0.35 sQ8_spl|sQ3_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.06/0.35 fof(f115,plain,(
% 0.06/0.35 sQ8_spl|sQ4_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.06/0.35 fof(f116,plain,(
% 0.06/0.35 sQ8_spl|sQ5_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.06/0.35 fof(f117,definition,(
% 0.06/0.35 sQ9_spl <=> (multiply(sk_c3,sk_c6)=sk_c8)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f118,plain,(
% 0.06/0.35 multiply(sk_c3,sk_c6)=sk_c8|~sQ9_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f117])).
% 0.06/0.35 fof(f120,plain,(
% 0.06/0.35 sQ9_spl|sQ1_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.06/0.35 fof(f121,plain,(
% 0.06/0.35 sQ9_spl|sQ2_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.06/0.35 fof(f122,plain,(
% 0.06/0.35 sQ9_spl|sQ3_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.06/0.35 fof(f123,plain,(
% 0.06/0.35 sQ9_spl|sQ4_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.06/0.35 fof(f124,plain,(
% 0.06/0.35 sQ9_spl|sQ5_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.06/0.35 fof(f125,definition,(
% 0.06/0.35 sQ10_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f126,plain,(
% 0.06/0.35 inverse(sk_c3)=sk_c6|~sQ10_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f125])).
% 0.06/0.35 fof(f128,plain,(
% 0.06/0.35 sQ10_spl|sQ1_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.06/0.35 fof(f129,plain,(
% 0.06/0.35 sQ10_spl|sQ2_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.06/0.35 fof(f130,plain,(
% 0.06/0.35 sQ10_spl|sQ3_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.06/0.35 fof(f131,plain,(
% 0.06/0.35 sQ10_spl|sQ4_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.06/0.35 fof(f132,plain,(
% 0.06/0.35 sQ10_spl|sQ5_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.06/0.35 fof(f133,definition,(
% 0.06/0.35 ![X0,X1]: (sQ11_spl <=> (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8))),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f134,plain,(
% 0.06/0.35 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ11_spl)),
% 0.06/0.35 inference(component_clause,[status(thm)],[f133])).
% 0.06/0.35 fof(f136,definition,(
% 0.06/0.35 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c6)=sk_c8|~inverse(X2)=sk_c6))),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f137,plain,(
% 0.06/0.35 ![X0]: (~multiply(X0,sk_c6)=sk_c8|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.06/0.35 inference(component_clause,[status(thm)],[f136])).
% 0.06/0.35 fof(f139,definition,(
% 0.06/0.35 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f140,plain,(
% 0.06/0.35 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.06/0.35 inference(component_clause,[status(thm)],[f139])).
% 0.06/0.35 fof(f142,definition,(
% 0.06/0.35 ![X4]: (sQ14_spl <=> (~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8))),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f143,plain,(
% 0.06/0.35 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.06/0.35 inference(component_clause,[status(thm)],[f142])).
% 0.06/0.35 fof(f145,plain,(
% 0.06/0.35 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.06/0.35 fof(f146,plain,(
% 0.06/0.35 ~inverse(sk_c5)=sk_c8|~sQ14_spl|~sQ4_spl),
% 0.06/0.35 inference(resolution,[status(thm)],[f143,f86])).
% 0.06/0.35 fof(f147,plain,(
% 0.06/0.35 ~sk_c2=sk_c6|~inverse(sk_c1)=sk_c8|~sQ14_spl|~sQ7_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f102,f143])).
% 0.06/0.35 fof(f150,plain,(
% 0.06/0.35 ~sk_c8=sk_c8|~sQ5_spl|~sQ14_spl|~sQ4_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f90,f146])).
% 0.06/0.35 fof(f151,plain,(
% 0.06/0.35 $false|~sQ5_spl|~sQ14_spl|~sQ4_spl),
% 0.06/0.35 inference(trivial_equality_resolution,[status(thm)],[f150])).
% 0.06/0.35 fof(f152,plain,(
% 0.06/0.35 ~sQ5_spl|~sQ14_spl|~sQ4_spl),
% 0.06/0.35 inference(contradiction_clause,[status(thm)],[f151])).
% 0.06/0.35 fof(f154,plain,(
% 0.06/0.35 ~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ2_spl),
% 0.06/0.35 inference(resolution,[status(thm)],[f140,f78])).
% 0.06/0.35 fof(f158,plain,(
% 0.06/0.35 ~sk_c8=sk_c8|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f82,f154])).
% 0.06/0.35 fof(f159,plain,(
% 0.06/0.35 $false|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.06/0.35 inference(trivial_equality_resolution,[status(thm)],[f158])).
% 0.06/0.35 fof(f160,plain,(
% 0.06/0.35 ~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.06/0.35 inference(contradiction_clause,[status(thm)],[f159])).
% 0.06/0.35 fof(f161,plain,(
% 0.06/0.35 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.06/0.35 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.06/0.35 fof(f162,plain,(
% 0.06/0.35 ~inverse(sk_c3)=sk_c6|~sQ12_spl|~sQ9_spl),
% 0.06/0.35 inference(resolution,[status(thm)],[f137,f118])).
% 0.06/0.35 fof(f164,plain,(
% 0.06/0.35 ~sk_c6=sk_c6|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f126,f162])).
% 0.06/0.35 fof(f165,plain,(
% 0.06/0.35 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.06/0.35 inference(trivial_equality_resolution,[status(thm)],[f164])).
% 0.06/0.35 fof(f166,plain,(
% 0.06/0.35 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.06/0.35 inference(contradiction_clause,[status(thm)],[f165])).
% 0.06/0.35 fof(f177,plain,(
% 0.06/0.35 ~multiply(sk_c8,sk_c2)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ7_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f102,f161])).
% 0.06/0.35 fof(f178,plain,(
% 0.06/0.35 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ11_spl|~sQ2_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f78,f161])).
% 0.06/0.35 fof(f179,definition,(
% 0.06/0.35 sQ15_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f180,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c7)=sk_c7|~sQ15_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f179])).
% 0.06/0.35 fof(f181,plain,(
% 0.06/0.35 ~multiply(sk_c8,sk_c7)=sk_c7|sQ15_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f179])).
% 0.06/0.35 fof(f186,plain,(
% 0.06/0.35 ~sQ6_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f177,f93,f109,f133,f101])).
% 0.06/0.35 fof(f187,plain,(
% 0.06/0.35 ~sQ15_spl|~sQ3_spl|~sQ11_spl|~sQ2_spl),
% 0.06/0.35 inference(split_clause,[status(thm)],[f178,f179,f81,f133,f77])).
% 0.06/0.35 fof(f188,definition,(
% 0.06/0.35 sQ17_spl <=> (sk_c7=sk_c7)),
% 0.06/0.35 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.06/0.35 fof(f190,plain,(
% 0.06/0.35 ~sk_c7=sk_c7|sQ17_spl),
% 0.06/0.35 inference(component_clause,[status(thm)],[f188])).
% 0.06/0.35 fof(f199,plain,(
% 0.06/0.35 multiply(sk_c8,sk_c5)=identity|~sQ5_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f90,f36])).
% 0.06/0.35 fof(f200,plain,(
% 0.06/0.35 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.06/0.35 fof(f201,plain,(
% 0.06/0.35 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f35,f200])).
% 0.06/0.35 fof(f213,plain,(
% 0.06/0.35 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f35,f201])).
% 0.06/0.35 fof(f216,plain,(
% 0.06/0.35 sk_c8=multiply(inverse(sk_c6),sk_c7)|~sQ0_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f71,f201])).
% 0.06/0.35 fof(f217,plain,(
% 0.06/0.35 sk_c5=multiply(inverse(sk_c8),identity)|~sQ5_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f199,f201])).
% 0.06/0.35 fof(f220,plain,(
% 0.06/0.35 sk_c8=multiply(inverse(sk_c1),sk_c2)|~sQ7_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f102,f201])).
% 0.06/0.35 fof(f221,plain,(
% 0.06/0.35 sk_c6=multiply(inverse(sk_c3),sk_c8)|~sQ9_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f118,f201])).
% 0.06/0.35 fof(f223,plain,(
% 0.06/0.35 sk_c8=multiply(sk_c8,sk_c2)|~sQ8_spl|~sQ7_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f110,f220])).
% 0.06/0.35 fof(f224,plain,(
% 0.06/0.35 sk_c8=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f94,f223])).
% 0.06/0.35 fof(f225,plain,(
% 0.06/0.35 sk_c6=multiply(sk_c6,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f126,f221])).
% 0.06/0.35 fof(f226,plain,(
% 0.06/0.35 sk_c6=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f71,f225])).
% 0.06/0.35 fof(f230,plain,(
% 0.06/0.35 ~multiply(sk_c7,sk_c7)=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.06/0.35 inference(backward_demodulation,[status(thm)],[f224,f75])).
% 0.06/0.35 fof(f231,plain,(
% 0.06/0.35 multiply(sk_c6,sk_c7)=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.35 inference(backward_demodulation,[status(thm)],[f224,f71])).
% 0.06/0.35 fof(f233,plain,(
% 0.06/0.35 multiply(sk_c7,sk_c2)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.06/0.35 inference(backward_demodulation,[status(thm)],[f224,f94])).
% 0.06/0.35 fof(f235,plain,(
% 0.06/0.35 multiply(sk_c3,sk_c6)=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.06/0.35 inference(backward_demodulation,[status(thm)],[f224,f118])).
% 0.06/0.35 fof(f239,plain,(
% 0.06/0.35 inverse(sk_c3)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.06/0.35 inference(backward_demodulation,[status(thm)],[f226,f126])).
% 0.06/0.35 fof(f258,plain,(
% 0.06/0.35 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f226,f230])).
% 0.06/0.35 fof(f259,plain,(
% 0.06/0.35 multiply(sk_c7,sk_c7)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f226,f231])).
% 0.06/0.35 fof(f260,plain,(
% 0.06/0.35 $false|sQ1_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.35 inference(forward_subsumption_resolution,[status(thm)],[f259,f258])).
% 0.06/0.35 fof(f261,plain,(
% 0.06/0.35 sQ1_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.35 inference(contradiction_clause,[status(thm)],[f260])).
% 0.06/0.35 fof(f267,plain,(
% 0.06/0.35 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c8|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f224,f140])).
% 0.06/0.35 fof(f268,plain,(
% 0.06/0.35 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f224,f267])).
% 0.06/0.35 fof(f272,plain,(
% 0.06/0.35 sk_c2=multiply(inverse(sk_c7),sk_c7)|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.06/0.35 inference(paramodulation,[status(thm)],[f233,f201])).
% 0.06/0.35 fof(f274,plain,(
% 0.06/0.35 sk_c2=identity|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f36,f272])).
% 0.06/0.35 fof(f281,plain,(
% 0.06/0.35 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl)),
% 0.06/0.35 inference(backward_demodulation,[status(thm)],[f274,f36])).
% 0.06/0.35 fof(f285,plain,(
% 0.06/0.35 multiply(sk_c3,sk_c7)=sk_c7|~sQ0_spl|~sQ10_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.06/0.35 inference(forward_demodulation,[status(thm)],[f226,f235])).
% 0.06/0.35 fof(f304,plain,(
% 0.06/0.35 ~inverse(sk_c3)=sk_c7|~sQ13_spl|~sQ0_spl|~sQ10_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.06/0.36 inference(resolution,[status(thm)],[f268,f285])).
% 0.06/0.36 fof(f312,plain,(
% 0.06/0.36 ~sk_c7=sk_c7|~sQ13_spl|~sQ0_spl|~sQ10_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f239,f304])).
% 0.06/0.36 fof(f313,plain,(
% 0.06/0.36 $false|~sQ13_spl|~sQ0_spl|~sQ10_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.06/0.36 inference(trivial_equality_resolution,[status(thm)],[f312])).
% 0.06/0.36 fof(f314,plain,(
% 0.06/0.36 ~sQ13_spl|~sQ0_spl|~sQ10_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.06/0.36 inference(contradiction_clause,[status(thm)],[f313])).
% 0.06/0.36 fof(f318,definition,(
% 0.06/0.36 sQ19_spl <=> (sk_c2=sk_c6)),
% 0.06/0.36 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.06/0.36 fof(f320,plain,(
% 0.06/0.36 ~sk_c2=sk_c6|sQ19_spl),
% 0.06/0.36 inference(component_clause,[status(thm)],[f318])).
% 0.06/0.36 fof(f321,plain,(
% 0.06/0.36 ~sQ19_spl|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.06/0.36 inference(split_clause,[status(thm)],[f147,f318,f109,f142,f101])).
% 0.06/0.36 fof(f322,plain,(
% 0.06/0.36 ~sk_c2=sk_c7|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ19_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f226,f320])).
% 0.06/0.36 fof(f364,plain,(
% 0.06/0.36 sk_c7=multiply(inverse(sk_c6),sk_c7)|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f224,f216])).
% 0.06/0.36 fof(f365,plain,(
% 0.06/0.36 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f226,f364])).
% 0.06/0.36 fof(f366,plain,(
% 0.06/0.36 sk_c7=sk_c2|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f281,f365])).
% 0.06/0.36 fof(f367,plain,(
% 0.06/0.36 $false|sQ19_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.36 inference(forward_subsumption_resolution,[status(thm)],[f366,f322])).
% 0.06/0.36 fof(f368,plain,(
% 0.06/0.36 sQ19_spl|~sQ10_spl|~sQ9_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.06/0.36 inference(contradiction_clause,[status(thm)],[f367])).
% 0.06/0.36 fof(f369,plain,(
% 0.06/0.36 $false|sQ17_spl),
% 0.06/0.36 inference(trivial_equality_resolution,[status(thm)],[f190])).
% 0.06/0.36 fof(f370,plain,(
% 0.06/0.36 sQ17_spl),
% 0.06/0.36 inference(contradiction_clause,[status(thm)],[f369])).
% 0.06/0.36 fof(f377,plain,(
% 0.06/0.36 ![X0]: (multiply(identity,X0)=X0)),
% 0.06/0.36 inference(paramodulation,[status(thm)],[f201,f213])).
% 0.06/0.36 fof(f383,plain,(
% 0.06/0.36 ~sk_c6=sk_c7|~sQ1_spl|sQ15_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f74,f181])).
% 0.06/0.36 fof(f406,plain,(
% 0.06/0.36 multiply(sk_c8,sk_c4)=identity|~sQ3_spl),
% 0.06/0.36 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.06/0.36 fof(f411,plain,(
% 0.06/0.36 sk_c4=multiply(inverse(sk_c8),identity)|~sQ3_spl),
% 0.06/0.36 inference(paramodulation,[status(thm)],[f406,f201])).
% 0.06/0.36 fof(f413,plain,(
% 0.06/0.36 sk_c4=sk_c5|~sQ5_spl|~sQ3_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f217,f411])).
% 0.06/0.36 fof(f417,plain,(
% 0.06/0.36 multiply(sk_c5,sk_c8)=sk_c7|~sQ5_spl|~sQ3_spl|~sQ2_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f413,f78])).
% 0.06/0.36 fof(f418,plain,(
% 0.06/0.36 sk_c7=sk_c6|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f417,f86])).
% 0.06/0.36 fof(f419,plain,(
% 0.06/0.36 sk_c8=multiply(inverse(sk_c5),sk_c7)|~sQ5_spl|~sQ3_spl|~sQ2_spl),
% 0.06/0.36 inference(paramodulation,[status(thm)],[f417,f201])).
% 0.06/0.36 fof(f421,plain,(
% 0.06/0.36 $false|~sQ1_spl|sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.06/0.36 inference(forward_subsumption_resolution,[status(thm)],[f418,f383])).
% 0.06/0.36 fof(f422,plain,(
% 0.06/0.36 ~sQ1_spl|sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.06/0.36 inference(contradiction_clause,[status(thm)],[f421])).
% 0.06/0.36 fof(f423,plain,(
% 0.06/0.36 sk_c8=multiply(sk_c8,sk_c7)|~sQ5_spl|~sQ3_spl|~sQ2_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f90,f419])).
% 0.06/0.36 fof(f427,plain,(
% 0.06/0.36 ~multiply(sk_c7,sk_c8)=sk_c7|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ0_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f418,f72])).
% 0.06/0.36 fof(f430,plain,(
% 0.06/0.36 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ5_spl|~sQ3_spl|~sQ2_spl),
% 0.06/0.36 inference(paramodulation,[status(thm)],[f423,f201])).
% 0.06/0.36 fof(f432,plain,(
% 0.06/0.36 sk_c7=identity|~sQ5_spl|~sQ3_spl|~sQ2_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f36,f430])).
% 0.06/0.36 fof(f433,plain,(
% 0.06/0.36 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ5_spl|~sQ3_spl|~sQ2_spl)),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f432,f36])).
% 0.06/0.36 fof(f436,plain,(
% 0.06/0.36 ![X0]: (multiply(sk_c7,X0)=X0|~sQ5_spl|~sQ3_spl|~sQ2_spl)),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f432,f377])).
% 0.06/0.36 fof(f441,plain,(
% 0.06/0.36 sk_c8=sk_c7|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f180,f423])).
% 0.06/0.36 fof(f443,plain,(
% 0.06/0.36 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c7,X0))|~sQ15_spl)),
% 0.06/0.36 inference(paramodulation,[status(thm)],[f180,f37])).
% 0.06/0.36 fof(f444,plain,(
% 0.06/0.36 ![X0]: (X0=multiply(sk_c8,multiply(sk_c7,X0))|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ15_spl)),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f436,f443])).
% 0.06/0.36 fof(f445,plain,(
% 0.06/0.36 ![X0]: (X0=multiply(sk_c8,X0)|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ15_spl)),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f436,f444])).
% 0.06/0.36 fof(f452,plain,(
% 0.06/0.36 inverse(sk_c5)=sk_c7|~sQ15_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f441,f90])).
% 0.06/0.36 fof(f476,plain,(
% 0.06/0.36 ![X0]: (X0=multiply(sk_c7,X0)|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ15_spl)),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f441,f445])).
% 0.06/0.36 fof(f482,plain,(
% 0.06/0.36 multiply(sk_c7,sk_c5)=sk_c7|~sQ15_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.06/0.36 inference(paramodulation,[status(thm)],[f452,f433])).
% 0.06/0.36 fof(f484,plain,(
% 0.06/0.36 sk_c5=sk_c7|~sQ15_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f476,f482])).
% 0.06/0.36 fof(f486,plain,(
% 0.06/0.36 inverse(sk_c5)=sk_c5|~sQ15_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f484,f452])).
% 0.06/0.36 fof(f490,plain,(
% 0.06/0.36 ![X0]: (X0=multiply(sk_c5,X0)|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ15_spl)),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f484,f476])).
% 0.06/0.36 fof(f492,plain,(
% 0.06/0.36 sk_c5=sk_c6|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f484,f418])).
% 0.06/0.36 fof(f494,plain,(
% 0.06/0.36 sk_c8=sk_c5|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl),
% 0.06/0.36 inference(backward_demodulation,[status(thm)],[f484,f441])).
% 0.06/0.36 fof(f520,plain,(
% 0.06/0.36 ![X0]: (~multiply(X0,sk_c5)=sk_c8|~inverse(X0)=sk_c6|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ12_spl)),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f492,f137])).
% 0.06/0.36 fof(f521,plain,(
% 0.06/0.36 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c6|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ12_spl)),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f494,f520])).
% 0.06/0.36 fof(f522,plain,(
% 0.06/0.36 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ12_spl)),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f492,f521])).
% 0.06/0.36 fof(f592,plain,(
% 0.06/0.36 ~inverse(sk_c5)=sk_c5|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ12_spl),
% 0.06/0.36 inference(resolution,[status(thm)],[f490,f522])).
% 0.06/0.36 fof(f596,definition,(
% 0.06/0.36 sQ20_spl <=> (sk_c5=sk_c5)),
% 0.06/0.36 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.06/0.36 fof(f598,plain,(
% 0.06/0.36 ~sk_c5=sk_c5|sQ20_spl),
% 0.06/0.36 inference(component_clause,[status(thm)],[f596])).
% 0.06/0.36 fof(f603,plain,(
% 0.06/0.36 $false|sQ20_spl),
% 0.06/0.36 inference(trivial_equality_resolution,[status(thm)],[f598])).
% 0.06/0.36 fof(f604,plain,(
% 0.06/0.36 sQ20_spl),
% 0.06/0.36 inference(contradiction_clause,[status(thm)],[f603])).
% 0.06/0.36 fof(f607,plain,(
% 0.06/0.36 ~sk_c5=sk_c5|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ12_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f486,f592])).
% 0.06/0.36 fof(f608,plain,(
% 0.06/0.36 $false|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ12_spl),
% 0.06/0.36 inference(trivial_equality_resolution,[status(thm)],[f607])).
% 0.06/0.36 fof(f609,plain,(
% 0.06/0.36 ~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ12_spl),
% 0.06/0.36 inference(contradiction_clause,[status(thm)],[f608])).
% 0.06/0.36 fof(f610,plain,(
% 0.06/0.36 ~multiply(sk_c5,sk_c8)=sk_c7|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ0_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f484,f427])).
% 0.06/0.36 fof(f611,plain,(
% 0.06/0.36 ~sk_c8=sk_c7|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ0_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f490,f610])).
% 0.06/0.36 fof(f612,plain,(
% 0.06/0.36 ~sk_c5=sk_c7|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ0_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f494,f611])).
% 0.06/0.36 fof(f613,plain,(
% 0.06/0.36 ~sk_c5=sk_c5|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ0_spl),
% 0.06/0.36 inference(forward_demodulation,[status(thm)],[f484,f612])).
% 0.06/0.36 fof(f614,plain,(
% 0.06/0.36 $false|~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ0_spl),
% 0.06/0.36 inference(trivial_equality_resolution,[status(thm)],[f613])).
% 0.06/0.36 fof(f615,plain,(
% 0.06/0.36 ~sQ15_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ0_spl),
% 0.06/0.36 inference(contradiction_clause,[status(thm)],[f614])).
% 0.06/0.36 fof(f616,plain,(
% 0.06/0.36 $false),
% 0.06/0.36 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f152,f160,f166,f186,f187,f261,f314,f321,f368,f370,f422,f604,f609,f615])).
% 0.06/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.051859 seconds
% 0.13/0.39 % CPU time: 0.109108 seconds
% 0.13/0.39 % Total memory used: 30.160 MB
% 0.13/0.39 % Net memory used: 30.113 MB
%------------------------------------------------------------------------------