%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP380-1 : 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 : 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 12:36:32 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP380-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:12:15 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f2,axiom,(
% 0.15/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f4,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f5,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f6,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f7,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f8,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f9,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f14,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c10,sk_c9) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f15,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c10,sk_c9) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f16,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c10,sk_c9) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f17,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c10,sk_c9) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f18,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c10,sk_c9) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f19,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c10,sk_c9) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f24,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f25,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f26,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f27,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f28,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f29,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f34,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f35,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f36,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f37,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f38,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f39,negated_conjecture,(
% 0.15/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f44,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f45,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f46,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f47,negated_conjecture,(
% 0.15/0.41 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f54,negated_conjecture,(
% 0.15/0.41 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( inverse(sk_c11) != sk_c10| multiply(sk_c10,sk_c9) != sk_c11| multiply(X3,X4) != sk_c10| inverse(X3) != X4| multiply(X4,sk_c9) != sk_c10| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c11| inverse(X7) != X8| inverse(X8) != X6| multiply(X7,X6) != X8 ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f55,plain,(
% 0.15/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.41 fof(f56,plain,(
% 0.15/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f57,plain,(
% 0.15/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f58,plain,(
% 0.15/0.41 inverse(sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.41 fof(f59,plain,(
% 0.15/0.41 inverse(sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.41 fof(f60,plain,(
% 0.15/0.41 inverse(sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.41 fof(f61,plain,(
% 0.15/0.41 inverse(sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.41 fof(f62,plain,(
% 0.15/0.41 inverse(sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.41 fof(f63,plain,(
% 0.15/0.41 inverse(sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.41 fof(f68,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c9)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.41 fof(f69,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c9)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.41 fof(f70,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c9)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.41 fof(f71,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c9)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.41 fof(f72,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c9)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.41 fof(f73,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c9)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.41 fof(f78,plain,(
% 0.15/0.41 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/0.41 fof(f79,plain,(
% 0.15/0.41 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.41 fof(f80,plain,(
% 0.15/0.41 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/0.41 fof(f81,plain,(
% 0.15/0.41 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.41 fof(f82,plain,(
% 0.15/0.41 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.41 fof(f83,plain,(
% 0.15/0.41 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.41 fof(f88,plain,(
% 0.15/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.15/0.41 fof(f89,plain,(
% 0.15/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/0.41 fof(f90,plain,(
% 0.15/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.15/0.41 fof(f91,plain,(
% 0.15/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.15/0.41 fof(f92,plain,(
% 0.15/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/0.41 fof(f93,plain,(
% 0.15/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.15/0.41 fof(f98,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f44])).
% 0.15/0.41 fof(f99,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.15/0.41 fof(f100,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f46])).
% 0.15/0.41 fof(f101,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f47])).
% 0.15/0.41 fof(f108,plain,(
% 0.15/0.41 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((![X3]: (((~inverse(sk_c11)=sk_c10|~multiply(sk_c10,sk_c9)=sk_c11)|~multiply(X3,X4)=sk_c10)|~inverse(X3)=X4))|~multiply(X4,sk_c9)=sk_c10))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c11)|~inverse(X7)=X8)|~inverse(X8)=X6)|~multiply(X7,X6)=X8)),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f54])).
% 0.15/0.41 fof(f109,plain,(
% 0.15/0.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(sk_c11)=sk_c10|~multiply(sk_c10,sk_c9)=sk_c11|~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f108])).
% 0.15/0.41 fof(f110,definition,(
% 0.15/0.41 sQ0_spl <=> (inverse(sk_c11)=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f111,plain,(
% 0.15/0.41 inverse(sk_c11)=sk_c10|~sQ0_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f110])).
% 0.15/0.41 fof(f112,plain,(
% 0.15/0.41 ~inverse(sk_c11)=sk_c10|sQ0_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f110])).
% 0.15/0.41 fof(f113,definition,(
% 0.15/0.41 sQ1_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f114,plain,(
% 0.15/0.41 multiply(sk_c3,sk_c11)=sk_c10|~sQ1_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f113])).
% 0.15/0.41 fof(f116,plain,(
% 0.15/0.41 sQ0_spl|sQ1_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 0.15/0.41 fof(f117,definition,(
% 0.15/0.41 sQ2_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f118,plain,(
% 0.15/0.41 inverse(sk_c3)=sk_c11|~sQ2_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.41 fof(f120,plain,(
% 0.15/0.41 sQ0_spl|sQ2_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 0.15/0.41 fof(f121,definition,(
% 0.15/0.41 sQ3_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f122,plain,(
% 0.15/0.41 multiply(sk_c4,sk_c10)=sk_c9|~sQ3_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.15/0.41 fof(f124,plain,(
% 0.15/0.41 sQ0_spl|sQ3_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f60,f110,f121])).
% 0.15/0.41 fof(f125,definition,(
% 0.15/0.41 sQ4_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f126,plain,(
% 0.15/0.41 inverse(sk_c4)=sk_c10|~sQ4_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.41 fof(f128,plain,(
% 0.15/0.41 sQ0_spl|sQ4_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f61,f110,f125])).
% 0.15/0.41 fof(f129,definition,(
% 0.15/0.41 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c11)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f130,plain,(
% 0.15/0.41 multiply(sk_c5,sk_c8)=sk_c11|~sQ5_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.15/0.41 fof(f132,plain,(
% 0.15/0.41 sQ0_spl|sQ5_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 0.15/0.41 fof(f133,definition,(
% 0.15/0.41 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f134,plain,(
% 0.15/0.41 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.41 fof(f136,plain,(
% 0.15/0.41 sQ0_spl|sQ6_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 0.15/0.41 fof(f153,definition,(
% 0.15/0.41 sQ11_spl <=> (multiply(sk_c10,sk_c9)=sk_c11)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f154,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c9)=sk_c11|~sQ11_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f153])).
% 0.15/0.41 fof(f155,plain,(
% 0.15/0.41 ~multiply(sk_c10,sk_c9)=sk_c11|sQ11_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f153])).
% 0.15/0.41 fof(f156,plain,(
% 0.15/0.41 sQ11_spl|sQ1_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 0.15/0.41 fof(f157,plain,(
% 0.15/0.41 sQ11_spl|sQ2_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 0.15/0.41 fof(f158,plain,(
% 0.15/0.41 sQ11_spl|sQ3_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f70,f153,f121])).
% 0.15/0.41 fof(f159,plain,(
% 0.15/0.41 sQ11_spl|sQ4_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 0.15/0.41 fof(f160,plain,(
% 0.15/0.41 sQ11_spl|sQ5_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f72,f153,f129])).
% 0.15/0.41 fof(f161,plain,(
% 0.15/0.41 sQ11_spl|sQ6_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f73,f153,f133])).
% 0.15/0.41 fof(f166,definition,(
% 0.15/0.41 sQ12_spl <=> (multiply(sk_c1,sk_c2)=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f167,plain,(
% 0.15/0.41 multiply(sk_c1,sk_c2)=sk_c10|~sQ12_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f166])).
% 0.15/0.41 fof(f169,plain,(
% 0.15/0.41 sQ12_spl|sQ1_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f78,f166,f113])).
% 0.15/0.41 fof(f170,plain,(
% 0.15/0.41 sQ12_spl|sQ2_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 0.15/0.41 fof(f171,plain,(
% 0.15/0.41 sQ12_spl|sQ3_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f80,f166,f121])).
% 0.15/0.41 fof(f172,plain,(
% 0.15/0.41 sQ12_spl|sQ4_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f81,f166,f125])).
% 0.15/0.41 fof(f173,plain,(
% 0.15/0.41 sQ12_spl|sQ5_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f82,f166,f129])).
% 0.15/0.41 fof(f174,plain,(
% 0.15/0.41 sQ12_spl|sQ6_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f83,f166,f133])).
% 0.15/0.41 fof(f179,definition,(
% 0.15/0.41 sQ13_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f180,plain,(
% 0.15/0.41 inverse(sk_c1)=sk_c2|~sQ13_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f179])).
% 0.15/0.41 fof(f182,plain,(
% 0.15/0.41 sQ13_spl|sQ1_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f88,f179,f113])).
% 0.15/0.41 fof(f183,plain,(
% 0.15/0.41 sQ13_spl|sQ2_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 0.15/0.41 fof(f184,plain,(
% 0.15/0.41 sQ13_spl|sQ3_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f90,f179,f121])).
% 0.15/0.41 fof(f185,plain,(
% 0.15/0.41 sQ13_spl|sQ4_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f91,f179,f125])).
% 0.15/0.41 fof(f186,plain,(
% 0.15/0.41 sQ13_spl|sQ5_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f92,f179,f129])).
% 0.15/0.41 fof(f187,plain,(
% 0.15/0.41 sQ13_spl|sQ6_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f93,f179,f133])).
% 0.15/0.41 fof(f192,definition,(
% 0.15/0.41 sQ14_spl <=> (multiply(sk_c2,sk_c9)=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f193,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c9)=sk_c10|~sQ14_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f192])).
% 0.15/0.41 fof(f195,plain,(
% 0.15/0.41 sQ14_spl|sQ1_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 0.15/0.41 fof(f196,plain,(
% 0.15/0.41 sQ14_spl|sQ2_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 0.15/0.41 fof(f197,plain,(
% 0.15/0.41 sQ14_spl|sQ3_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f100,f192,f121])).
% 0.15/0.41 fof(f198,plain,(
% 0.15/0.41 sQ14_spl|sQ4_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f101,f192,f125])).
% 0.15/0.41 fof(f205,definition,(
% 0.15/0.41 ![X0,X1]: (sQ15_spl <=> (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f206,plain,(
% 0.15/0.41 ![X0,X1]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~sQ15_spl)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f205])).
% 0.15/0.41 fof(f208,definition,(
% 0.15/0.41 ![X2]: (sQ16_spl <=> (~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f209,plain,(
% 0.15/0.41 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ16_spl)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f208])).
% 0.15/0.41 fof(f211,definition,(
% 0.15/0.41 ![X3]: (sQ17_spl <=> (~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f212,plain,(
% 0.15/0.41 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ17_spl)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f211])).
% 0.15/0.41 fof(f214,definition,(
% 0.15/0.41 ![X4,X5,X6,X7]: (sQ18_spl <=> (~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f215,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~sQ18_spl)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f214])).
% 0.15/0.41 fof(f217,plain,(
% 0.15/0.41 ~sQ0_spl|~sQ11_spl|sQ15_spl|sQ16_spl|sQ17_spl|sQ18_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f109,f110,f153,f205,f208,f211,f214])).
% 0.15/0.41 fof(f218,plain,(
% 0.15/0.41 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ18_spl)),
% 0.15/0.41 inference(destructive_equality_resolution,[status(thm)],[f215])).
% 0.15/0.41 fof(f317,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c10|~sQ17_spl|~sQ3_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f122,f212])).
% 0.15/0.41 fof(f319,definition,(
% 0.15/0.41 sQ40_spl <=> (sk_c9=sk_c9)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f321,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|sQ40_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f319])).
% 0.15/0.41 fof(f322,plain,(
% 0.15/0.41 ~sQ40_spl|~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f317,f319,f125,f211,f121])).
% 0.15/0.41 fof(f330,plain,(
% 0.15/0.41 $false|sQ40_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f321])).
% 0.15/0.41 fof(f331,plain,(
% 0.15/0.41 sQ40_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f330])).
% 0.15/0.41 fof(f332,plain,(
% 0.15/0.41 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~sQ15_spl)),
% 0.15/0.41 inference(destructive_equality_resolution,[status(thm)],[f206])).
% 0.15/0.41 fof(f335,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c1)=identity|~sQ13_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f180,f56])).
% 0.15/0.41 fof(f336,plain,(
% 0.15/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f56,f57])).
% 0.15/0.41 fof(f337,plain,(
% 0.15/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f55,f336])).
% 0.15/0.41 fof(f345,plain,(
% 0.15/0.41 ~identity=sk_c10|~inverse(inverse(sk_c11))=sk_c11|~sQ16_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f56,f209])).
% 0.15/0.41 fof(f349,plain,(
% 0.15/0.41 ~sk_c10=sk_c10|~inverse(sk_c3)=sk_c11|~sQ16_spl|~sQ1_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f114,f209])).
% 0.15/0.41 fof(f350,definition,(
% 0.15/0.41 sQ43_spl <=> (identity=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f352,plain,(
% 0.15/0.41 ~identity=sk_c10|sQ43_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f350])).
% 0.15/0.41 fof(f353,definition,(
% 0.15/0.41 sQ44_spl <=> (inverse(inverse(sk_c11))=sk_c11)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f355,plain,(
% 0.15/0.41 ~inverse(inverse(sk_c11))=sk_c11|sQ44_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f353])).
% 0.15/0.41 fof(f356,plain,(
% 0.15/0.41 ~sQ43_spl|~sQ44_spl|~sQ16_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f345,f350,f353,f208])).
% 0.15/0.41 fof(f368,definition,(
% 0.15/0.41 sQ48_spl <=> (sk_c10=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f370,plain,(
% 0.15/0.41 ~sk_c10=sk_c10|sQ48_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f368])).
% 0.15/0.41 fof(f371,plain,(
% 0.15/0.41 ~sQ48_spl|~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f349,f368,f117,f208,f113])).
% 0.15/0.41 fof(f372,plain,(
% 0.15/0.41 $false|sQ48_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f370])).
% 0.15/0.41 fof(f373,plain,(
% 0.15/0.41 sQ48_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f372])).
% 0.15/0.41 fof(f374,plain,(
% 0.15/0.41 ~inverse(sk_c10)=sk_c11|~sQ0_spl|sQ44_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f111,f355])).
% 0.15/0.41 fof(f375,plain,(
% 0.15/0.41 ~multiply(sk_c9,inverse(sk_c9))=sk_c10|~identity=sk_c10|~sQ15_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f56,f332])).
% 0.15/0.41 fof(f377,plain,(
% 0.15/0.41 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|~multiply(sk_c2,sk_c9)=sk_c10|~sQ15_spl|~sQ13_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f180,f332])).
% 0.15/0.41 fof(f378,definition,(
% 0.15/0.41 sQ49_spl <=> (multiply(sk_c9,inverse(sk_c9))=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f380,plain,(
% 0.15/0.41 ~multiply(sk_c9,inverse(sk_c9))=sk_c10|sQ49_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f378])).
% 0.15/0.41 fof(f381,plain,(
% 0.15/0.41 ~sQ49_spl|~sQ43_spl|~sQ15_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f375,f378,f350,f205])).
% 0.15/0.41 fof(f389,definition,(
% 0.15/0.41 sQ52_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c10)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f391,plain,(
% 0.15/0.41 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|sQ52_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f389])).
% 0.15/0.41 fof(f392,plain,(
% 0.15/0.41 ~sQ52_spl|~sQ14_spl|~sQ15_spl|~sQ13_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f377,f389,f192,f205,f179])).
% 0.15/0.41 fof(f393,plain,(
% 0.15/0.41 ~multiply(sk_c1,sk_c2)=sk_c10|~sQ13_spl|sQ52_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f180,f391])).
% 0.15/0.41 fof(f394,plain,(
% 0.15/0.41 ~sk_c10=sk_c10|~sQ12_spl|~sQ13_spl|sQ52_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f167,f393])).
% 0.15/0.41 fof(f395,plain,(
% 0.15/0.41 $false|~sQ12_spl|~sQ13_spl|sQ52_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f394])).
% 0.15/0.41 fof(f396,plain,(
% 0.15/0.41 ~sQ12_spl|~sQ13_spl|sQ52_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f395])).
% 0.15/0.41 fof(f449,plain,(
% 0.15/0.41 sk_c11=multiply(inverse(sk_c3),sk_c10)|~sQ1_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f114,f337])).
% 0.15/0.41 fof(f450,plain,(
% 0.15/0.41 sk_c10=multiply(inverse(sk_c4),sk_c9)|~sQ3_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f122,f337])).
% 0.15/0.41 fof(f460,plain,(
% 0.15/0.41 sk_c8=multiply(inverse(sk_c5),sk_c11)|~sQ5_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f130,f337])).
% 0.15/0.41 fof(f466,plain,(
% 0.15/0.41 sk_c11=multiply(sk_c11,sk_c10)|~sQ2_spl|~sQ1_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f118,f449])).
% 0.15/0.41 fof(f467,plain,(
% 0.15/0.41 sk_c10=multiply(sk_c10,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f126,f450])).
% 0.15/0.41 fof(f469,plain,(
% 0.15/0.41 sk_c8=multiply(sk_c8,sk_c11)|~sQ6_spl|~sQ5_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f134,f460])).
% 0.15/0.41 fof(f476,plain,(
% 0.15/0.41 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ2_spl|~sQ1_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f466,f337])).
% 0.15/0.41 fof(f478,plain,(
% 0.15/0.41 sk_c10=identity|~sQ2_spl|~sQ1_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f56,f476])).
% 0.15/0.41 fof(f486,plain,(
% 0.15/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ2_spl|~sQ1_spl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f478,f56])).
% 0.15/0.41 fof(f487,plain,(
% 0.15/0.41 ![X0]: (multiply(sk_c10,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f478,f55])).
% 0.15/0.41 fof(f488,plain,(
% 0.15/0.41 ~sk_c9=sk_c11|~sQ2_spl|~sQ1_spl|sQ11_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f487,f155])).
% 0.15/0.41 fof(f491,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c4)=sk_c10|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f126,f486])).
% 0.15/0.41 fof(f499,plain,(
% 0.15/0.41 sk_c4=sk_c10|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f487,f491])).
% 0.15/0.41 fof(f511,plain,(
% 0.15/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f499,f486])).
% 0.15/0.41 fof(f512,plain,(
% 0.15/0.41 ![X0]: (multiply(sk_c4,X0)=X0|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f499,f487])).
% 0.15/0.41 fof(f513,plain,(
% 0.15/0.41 sk_c4=identity|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f499,f478])).
% 0.15/0.41 fof(f515,plain,(
% 0.15/0.41 multiply(sk_c3,sk_c11)=sk_c4|~sQ2_spl|~sQ4_spl|~sQ1_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f499,f114])).
% 0.15/0.41 fof(f516,plain,(
% 0.15/0.41 inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f499,f126])).
% 0.15/0.41 fof(f525,plain,(
% 0.15/0.41 sk_c4=multiply(sk_c10,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f499,f467])).
% 0.15/0.41 fof(f526,plain,(
% 0.15/0.41 sk_c4=multiply(sk_c4,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f499,f525])).
% 0.15/0.41 fof(f527,plain,(
% 0.15/0.41 inverse(sk_c4)=sk_c9|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f531,f516])).
% 0.15/0.41 fof(f528,plain,(
% 0.15/0.41 ![X0]: (multiply(sk_c9,X0)=X0|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f531,f512])).
% 0.15/0.41 fof(f529,plain,(
% 0.15/0.41 sk_c9=identity|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f531,f513])).
% 0.15/0.41 fof(f530,plain,(
% 0.15/0.41 sk_c9=sk_c10|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f531,f499])).
% 0.15/0.41 fof(f531,plain,(
% 0.15/0.41 sk_c4=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f512,f526])).
% 0.15/0.41 fof(f532,plain,(
% 0.15/0.41 inverse(sk_c9)=sk_c9|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f531,f527])).
% 0.15/0.41 fof(f533,plain,(
% 0.15/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f531,f511])).
% 0.15/0.41 fof(f554,plain,(
% 0.15/0.41 sk_c11=multiply(inverse(sk_c8),sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f469,f337])).
% 0.15/0.41 fof(f558,plain,(
% 0.15/0.41 sk_c11=sk_c9|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f533,f554])).
% 0.15/0.41 fof(f559,plain,(
% 0.15/0.41 $false|sQ11_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f558,f488])).
% 0.15/0.41 fof(f560,plain,(
% 0.15/0.41 sQ11_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f559])).
% 0.15/0.41 fof(f566,plain,(
% 0.15/0.41 ~inverse(sk_c11)=sk_c9|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f530,f112])).
% 0.15/0.41 fof(f569,plain,(
% 0.15/0.41 inverse(sk_c3)=sk_c9|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f558,f118])).
% 0.15/0.41 fof(f572,plain,(
% 0.15/0.41 multiply(sk_c3,sk_c9)=sk_c4|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f558,f515])).
% 0.15/0.41 fof(f573,plain,(
% 0.15/0.41 multiply(sk_c3,sk_c9)=sk_c9|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f531,f572])).
% 0.15/0.41 fof(f575,plain,(
% 0.15/0.41 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c3,multiply(sk_c9,X0))|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl)),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f573,f57])).
% 0.15/0.41 fof(f576,plain,(
% 0.15/0.41 ![X0]: (X0=multiply(sk_c3,multiply(sk_c9,X0))|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f528,f575])).
% 0.15/0.41 fof(f577,plain,(
% 0.15/0.41 ![X0]: (X0=multiply(sk_c3,X0)|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f528,f576])).
% 0.15/0.41 fof(f580,plain,(
% 0.15/0.41 ~inverse(sk_c9)=sk_c9|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f558,f566])).
% 0.15/0.41 fof(f581,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f532,f580])).
% 0.15/0.41 fof(f582,plain,(
% 0.15/0.41 $false|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f581])).
% 0.15/0.41 fof(f583,plain,(
% 0.15/0.41 ~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f582])).
% 0.15/0.41 fof(f584,plain,(
% 0.15/0.41 ~sk_c9=sk_c10|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ43_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f529,f352])).
% 0.15/0.41 fof(f585,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ43_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f530,f584])).
% 0.15/0.41 fof(f586,plain,(
% 0.15/0.41 $false|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ43_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f585])).
% 0.15/0.41 fof(f587,plain,(
% 0.15/0.41 ~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ43_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f586])).
% 0.15/0.41 fof(f601,plain,(
% 0.15/0.41 ~inverse(sk_c9)=sk_c10|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ49_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f528,f380])).
% 0.15/0.41 fof(f602,plain,(
% 0.15/0.41 ~sk_c9=sk_c10|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ49_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f532,f601])).
% 0.15/0.41 fof(f603,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ49_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f530,f602])).
% 0.15/0.41 fof(f604,plain,(
% 0.15/0.41 $false|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ49_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f603])).
% 0.15/0.41 fof(f605,plain,(
% 0.15/0.41 ~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ49_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f604])).
% 0.15/0.41 fof(f654,plain,(
% 0.15/0.41 sk_c2=multiply(inverse(sk_c1),sk_c10)|~sQ12_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f167,f337])).
% 0.15/0.41 fof(f656,plain,(
% 0.15/0.41 sk_c2=multiply(sk_c2,sk_c10)|~sQ13_spl|~sQ12_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f180,f654])).
% 0.15/0.41 fof(f708,plain,(
% 0.15/0.41 sk_c10=multiply(inverse(sk_c2),sk_c2)|~sQ13_spl|~sQ12_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f656,f337])).
% 0.15/0.41 fof(f710,plain,(
% 0.15/0.41 sk_c10=identity|~sQ13_spl|~sQ12_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f56,f708])).
% 0.15/0.41 fof(f711,plain,(
% 0.15/0.41 $false|sQ43_spl|~sQ13_spl|~sQ12_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f710,f352])).
% 0.15/0.41 fof(f712,plain,(
% 0.15/0.41 sQ43_spl|~sQ13_spl|~sQ12_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f711])).
% 0.15/0.41 fof(f713,plain,(
% 0.15/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ13_spl|~sQ12_spl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f710,f56])).
% 0.15/0.41 fof(f714,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c1)=sk_c10|~sQ12_spl|~sQ13_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f710,f335])).
% 0.15/0.41 fof(f720,plain,(
% 0.15/0.41 ![X0]: (multiply(sk_c10,X0)=X0|~sQ13_spl|~sQ12_spl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f710,f55])).
% 0.15/0.41 fof(f722,plain,(
% 0.15/0.41 sk_c9=sk_c11|~sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f720,f154])).
% 0.15/0.41 fof(f735,plain,(
% 0.15/0.41 inverse(sk_c9)=sk_c10|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f722,f111])).
% 0.15/0.41 fof(f737,plain,(
% 0.15/0.41 ![X0]: (X0=multiply(sk_c10,multiply(sk_c9,X0))|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl)),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f735,f337])).
% 0.15/0.41 fof(f738,plain,(
% 0.15/0.41 ![X0]: (X0=multiply(sk_c9,X0)|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f720,f737])).
% 0.15/0.41 fof(f749,plain,(
% 0.15/0.41 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ18_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f722,f218])).
% 0.15/0.41 fof(f750,plain,(
% 0.15/0.41 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c10)=sk_c9|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ18_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f722,f749])).
% 0.15/0.41 fof(f752,plain,(
% 0.15/0.41 ~multiply(sk_c9,inverse(sk_c9))=sk_c9|~multiply(inverse(sk_c9),sk_c10)=sk_c9|~inverse(inverse(sk_c9))=inverse(sk_c9)|~sQ18_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f750,f738])).
% 0.15/0.41 fof(f770,definition,(
% 0.15/0.41 sQ57_spl <=> (multiply(sk_c9,inverse(sk_c9))=sk_c9)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f771,plain,(
% 0.15/0.41 multiply(sk_c9,inverse(sk_c9))=sk_c9|~sQ57_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f770])).
% 0.15/0.41 fof(f772,plain,(
% 0.15/0.41 ~multiply(sk_c9,inverse(sk_c9))=sk_c9|sQ57_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f770])).
% 0.15/0.41 fof(f773,definition,(
% 0.15/0.41 sQ58_spl <=> (multiply(inverse(sk_c9),sk_c10)=sk_c9)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f775,plain,(
% 0.15/0.41 ~multiply(inverse(sk_c9),sk_c10)=sk_c9|sQ58_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f773])).
% 0.15/0.41 fof(f776,definition,(
% 0.15/0.41 sQ59_spl <=> (inverse(inverse(sk_c9))=inverse(sk_c9))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f778,plain,(
% 0.15/0.41 ~inverse(inverse(sk_c9))=inverse(sk_c9)|sQ59_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f776])).
% 0.15/0.41 fof(f779,plain,(
% 0.15/0.41 ~sQ57_spl|~sQ58_spl|~sQ59_spl|~sQ18_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f752,f770,f773,f776,f214,f179,f166,f153,f110])).
% 0.15/0.41 fof(f807,plain,(
% 0.15/0.41 ~multiply(sk_c10,sk_c10)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ58_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f735,f775])).
% 0.15/0.41 fof(f808,plain,(
% 0.15/0.41 ~sk_c10=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ58_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f720,f807])).
% 0.15/0.41 fof(f809,plain,(
% 0.15/0.41 ~inverse(sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f738,f772])).
% 0.15/0.41 fof(f810,plain,(
% 0.15/0.41 ~sk_c10=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f735,f809])).
% 0.15/0.41 fof(f820,plain,(
% 0.15/0.41 ~inverse(sk_c10)=inverse(sk_c9)|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f735,f778])).
% 0.15/0.41 fof(f821,plain,(
% 0.15/0.41 ~inverse(sk_c10)=sk_c10|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f735,f820])).
% 0.15/0.41 fof(f823,plain,(
% 0.15/0.41 multiply(sk_c10,sk_c9)=sk_c10|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f735,f713])).
% 0.15/0.41 fof(f830,plain,(
% 0.15/0.41 sk_c9=sk_c10|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f720,f823])).
% 0.15/0.41 fof(f843,plain,(
% 0.15/0.41 inverse(sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f830,f735])).
% 0.15/0.41 fof(f849,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f830,f193])).
% 0.15/0.41 fof(f856,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f830,f810])).
% 0.15/0.41 fof(f857,plain,(
% 0.15/0.41 $false|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f856])).
% 0.15/0.41 fof(f858,plain,(
% 0.15/0.41 ~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f857])).
% 0.15/0.41 fof(f859,plain,(
% 0.15/0.41 inverse(sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ57_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f738,f771])).
% 0.15/0.41 fof(f860,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ58_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f830,f808])).
% 0.15/0.41 fof(f861,plain,(
% 0.15/0.41 $false|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ58_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f860])).
% 0.15/0.41 fof(f862,plain,(
% 0.15/0.41 ~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ58_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f861])).
% 0.15/0.41 fof(f896,plain,(
% 0.15/0.41 ~inverse(sk_c9)=sk_c10|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f830,f821])).
% 0.15/0.41 fof(f897,plain,(
% 0.15/0.41 ~inverse(sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ59_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f830,f896])).
% 0.15/0.41 fof(f899,plain,(
% 0.15/0.41 $false|sQ59_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f843,f897])).
% 0.15/0.41 fof(f900,plain,(
% 0.15/0.41 sQ59_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f899])).
% 0.15/0.41 fof(f901,plain,(
% 0.15/0.41 ~inverse(sk_c9)=sk_c11|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ44_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f830,f374])).
% 0.15/0.41 fof(f902,plain,(
% 0.15/0.41 ~inverse(sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ44_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f722,f901])).
% 0.15/0.41 fof(f922,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ57_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ44_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f859,f902])).
% 0.15/0.41 fof(f923,plain,(
% 0.15/0.41 $false|~sQ57_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ44_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f922])).
% 0.15/0.41 fof(f924,plain,(
% 0.15/0.41 ~sQ57_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ44_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f923])).
% 0.15/0.41 fof(f928,plain,(
% 0.15/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c9|~inverse(X0)=sk_c10|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ17_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f830,f212])).
% 0.15/0.41 fof(f929,plain,(
% 0.15/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c9|~inverse(X0)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ17_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f830,f928])).
% 0.15/0.41 fof(f935,plain,(
% 0.15/0.41 multiply(sk_c2,sk_c1)=sk_c9|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f830,f714])).
% 0.15/0.41 fof(f992,plain,(
% 0.15/0.41 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c2,multiply(sk_c9,X0))|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl)),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f849,f57])).
% 0.15/0.41 fof(f993,plain,(
% 0.15/0.41 ![X0]: (X0=multiply(sk_c2,multiply(sk_c9,X0))|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f738,f992])).
% 0.15/0.41 fof(f994,plain,(
% 0.15/0.41 ![X0]: (X0=multiply(sk_c2,X0)|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f738,f993])).
% 0.15/0.41 fof(f996,plain,(
% 0.15/0.41 sk_c1=sk_c9|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f994,f935])).
% 0.15/0.41 fof(f1005,plain,(
% 0.15/0.41 inverse(sk_c9)=sk_c1|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ57_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f996,f859])).
% 0.15/0.41 fof(f1017,plain,(
% 0.15/0.41 inverse(sk_c1)=sk_c1|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ57_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f996,f1005])).
% 0.15/0.41 fof(f1018,plain,(
% 0.15/0.41 sk_c2=sk_c1|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ57_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f180,f1017])).
% 0.15/0.41 fof(f1019,plain,(
% 0.15/0.41 sk_c2=sk_c9|~sQ57_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f1018,f996])).
% 0.15/0.41 fof(f1020,plain,(
% 0.15/0.41 inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ57_spl|~sQ13_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f1018,f180])).
% 0.15/0.41 fof(f1031,plain,(
% 0.15/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c9|~inverse(X0)=sk_c9|~sQ57_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ17_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f1019,f929])).
% 0.15/0.41 fof(f1032,plain,(
% 0.15/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c9|~sQ57_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ17_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f1019,f1031])).
% 0.15/0.41 fof(f1033,plain,(
% 0.15/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ57_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ17_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f1019,f1032])).
% 0.15/0.41 fof(f1036,plain,(
% 0.15/0.41 ~sk_c2=sk_c2|~inverse(sk_c2)=sk_c2|~sQ57_spl|~sQ17_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f994,f1033])).
% 0.15/0.41 fof(f1039,definition,(
% 0.15/0.41 sQ67_spl <=> (sk_c2=sk_c2)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f1041,plain,(
% 0.15/0.41 ~sk_c2=sk_c2|sQ67_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f1039])).
% 0.15/0.41 fof(f1042,definition,(
% 0.15/0.41 sQ68_spl <=> (inverse(sk_c2)=sk_c2)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f1044,plain,(
% 0.15/0.41 ~inverse(sk_c2)=sk_c2|sQ68_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f1042])).
% 0.15/0.41 fof(f1045,plain,(
% 0.15/0.41 ~sQ67_spl|~sQ68_spl|~sQ57_spl|~sQ17_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f1036,f1039,f1042,f770,f211,f179,f166,f153,f110,f192])).
% 0.15/0.41 fof(f1050,plain,(
% 0.15/0.41 $false|sQ67_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f1041])).
% 0.15/0.41 fof(f1051,plain,(
% 0.15/0.41 sQ67_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f1050])).
% 0.15/0.41 fof(f1060,plain,(
% 0.15/0.41 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ18_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f558,f218])).
% 0.15/0.41 fof(f1061,plain,(
% 0.15/0.41 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ18_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f530,f1060])).
% 0.15/0.41 fof(f1062,plain,(
% 0.15/0.41 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c9|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ18_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f558,f1061])).
% 0.15/0.41 fof(f1069,plain,(
% 0.15/0.41 $false|sQ68_spl|~sQ14_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ57_spl|~sQ13_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1020,f1044])).
% 0.15/0.41 fof(f1070,plain,(
% 0.15/0.41 sQ68_spl|~sQ14_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ57_spl|~sQ13_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f1069])).
% 0.15/0.41 fof(f1094,plain,(
% 0.15/0.41 ![X0]: (multiply(sk_c9,X0)=X0|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f529,f55])).
% 0.15/0.41 fof(f1114,plain,(
% 0.15/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f529,f56])).
% 0.15/0.41 fof(f1123,plain,(
% 0.15/0.41 ~multiply(sk_c3,inverse(sk_c3))=sk_c9|~multiply(inverse(sk_c3),sk_c9)=sk_c9|~inverse(inverse(sk_c3))=inverse(sk_c3)|~sQ18_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f1062,f577])).
% 0.15/0.41 fof(f1131,definition,(
% 0.15/0.41 sQ71_spl <=> (multiply(inverse(sk_c9),sk_c9)=sk_c9)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f1133,plain,(
% 0.15/0.41 ~multiply(inverse(sk_c9),sk_c9)=sk_c9|sQ71_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f1131])).
% 0.15/0.41 fof(f1135,definition,(
% 0.15/0.41 sQ72_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c9)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f1137,plain,(
% 0.15/0.41 ~multiply(sk_c3,inverse(sk_c3))=sk_c9|sQ72_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f1135])).
% 0.15/0.41 fof(f1138,definition,(
% 0.15/0.41 sQ73_spl <=> (multiply(inverse(sk_c3),sk_c9)=sk_c9)),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f1140,plain,(
% 0.15/0.41 ~multiply(inverse(sk_c3),sk_c9)=sk_c9|sQ73_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f1138])).
% 0.15/0.41 fof(f1141,definition,(
% 0.15/0.41 sQ74_spl <=> (inverse(inverse(sk_c3))=inverse(sk_c3))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f1143,plain,(
% 0.15/0.41 ~inverse(inverse(sk_c3))=inverse(sk_c3)|sQ74_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f1141])).
% 0.15/0.41 fof(f1144,plain,(
% 0.15/0.41 ~sQ72_spl|~sQ73_spl|~sQ74_spl|~sQ18_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f1123,f1135,f1138,f1141,f214,f121,f133,f129,f117,f125,f113])).
% 0.15/0.41 fof(f1168,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ71_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f1114,f1133])).
% 0.15/0.41 fof(f1169,plain,(
% 0.15/0.41 $false|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ71_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f1168])).
% 0.15/0.41 fof(f1170,plain,(
% 0.15/0.41 ~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ71_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f1169])).
% 0.15/0.41 fof(f1171,plain,(
% 0.15/0.41 ~multiply(sk_c9,sk_c9)=sk_c9|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ73_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f569,f1140])).
% 0.15/0.41 fof(f1172,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ73_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f1094,f1171])).
% 0.15/0.41 fof(f1173,plain,(
% 0.15/0.41 $false|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ73_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f1172])).
% 0.15/0.41 fof(f1174,plain,(
% 0.15/0.41 ~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ73_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f1173])).
% 0.15/0.41 fof(f1175,plain,(
% 0.15/0.41 ~inverse(sk_c3)=sk_c9|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|sQ72_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f577,f1137])).
% 0.15/0.41 fof(f1176,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|sQ72_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f569,f1175])).
% 0.15/0.41 fof(f1177,plain,(
% 0.15/0.41 $false|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|sQ72_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f1176])).
% 0.15/0.41 fof(f1178,plain,(
% 0.15/0.41 ~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|sQ72_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f1177])).
% 0.15/0.41 fof(f1186,plain,(
% 0.15/0.41 ~inverse(sk_c9)=inverse(sk_c3)|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ74_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f569,f1143])).
% 0.15/0.41 fof(f1187,plain,(
% 0.15/0.41 ~sk_c9=inverse(sk_c3)|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ74_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f532,f1186])).
% 0.15/0.41 fof(f1188,plain,(
% 0.15/0.41 ~sk_c9=sk_c9|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ74_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f569,f1187])).
% 0.15/0.41 fof(f1189,plain,(
% 0.15/0.41 $false|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ74_spl),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f1188])).
% 0.15/0.41 fof(f1190,plain,(
% 0.15/0.41 ~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ74_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f1189])).
% 0.15/0.41 fof(f1191,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f156,f157,f158,f159,f160,f161,f169,f170,f171,f172,f173,f174,f182,f183,f184,f185,f186,f187,f195,f196,f197,f198,f217,f322,f331,f356,f371,f373,f381,f392,f396,f560,f583,f587,f605,f712,f779,f858,f862,f900,f924,f1045,f1051,f1070,f1144,f1170,f1174,f1178,f1190])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.060401 seconds
% 0.15/0.44 % CPU time: 0.254007 seconds
% 0.15/0.44 % Total memory used: 106.389 MB
% 0.15/0.44 % Net memory used: 106.278 MB
%------------------------------------------------------------------------------