%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP245-1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:19 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP245-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n017.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:02:41 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f6,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f7,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f8,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f9,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f10,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f11,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f12,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f13,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f14,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f15,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f16,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f17,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f19,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f20,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f21,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f22,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f23,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f24,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f26,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f27,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f28,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f29,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f30,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f31,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c2) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f32,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f33,negated_conjecture,(
% 0.13/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f39,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f40,negated_conjecture,(
% 0.13/0.42 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f46,negated_conjecture,(
% 0.13/0.42 (![X4,X5,X6,X1,X2,X7,X3]: (( multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X5,sk_c9) != sk_c8| inverse(X5) != sk_c9| inverse(X6) != sk_c10| multiply(X6,sk_c9) != sk_c10| inverse(X1) != sk_c10| multiply(X1,sk_c9) != sk_c10| inverse(X2) != sk_c9| multiply(X2,sk_c8) != sk_c9| multiply(X7,X3) != sk_c9| inverse(X7) != X3| multiply(X3,sk_c8) != sk_c9 ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f47,plain,(
% 0.13/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f48,plain,(
% 0.13/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f49,plain,(
% 0.13/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.42 fof(f50,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f51,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f52,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.42 fof(f53,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.42 fof(f54,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.42 fof(f55,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.42 fof(f56,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.42 fof(f57,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.42 fof(f58,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.42 fof(f59,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.42 fof(f60,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.42 fof(f61,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.42 fof(f62,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.42 fof(f63,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c7,sk_c8)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.42 fof(f65,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.42 fof(f66,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.42 fof(f67,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.42 fof(f68,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.42 fof(f69,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.42 fof(f70,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c7,sk_c8)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.42 fof(f72,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.42 fof(f73,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.42 fof(f74,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.42 fof(f75,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.42 fof(f76,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.42 fof(f77,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.42 fof(f78,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.42 fof(f79,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.42 fof(f85,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.42 fof(f86,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.42 fof(f92,plain,(
% 0.13/0.42 ![X3]: ((![X7]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))|~multiply(X5,sk_c9)=sk_c8)|~inverse(X5)=sk_c9))|~inverse(X6)=sk_c10)|~multiply(X6,sk_c9)=sk_c10))|~inverse(X1)=sk_c10)|~multiply(X1,sk_c9)=sk_c10))|~inverse(X2)=sk_c9)|~multiply(X2,sk_c8)=sk_c9))|~multiply(X7,X3)=sk_c9)|~inverse(X7)=X3))|~multiply(X3,sk_c8)=sk_c9)),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f46])).
% 0.13/0.42 fof(f93,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9|~inverse(X2)=sk_c10|~multiply(X2,sk_c9)=sk_c10|~inverse(X3)=sk_c10|~multiply(X3,sk_c9)=sk_c10|~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9|~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f92])).
% 0.13/0.42 fof(f94,definition,(
% 0.13/0.42 sQ0_spl <=> (multiply(sk_c1,sk_c10)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f95,plain,(
% 0.13/0.42 multiply(sk_c1,sk_c10)=sk_c9|~sQ0_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f94])).
% 0.13/0.42 fof(f97,definition,(
% 0.13/0.42 sQ1_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f98,plain,(
% 0.13/0.42 inverse(sk_c4)=sk_c10|~sQ1_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.42 fof(f100,plain,(
% 0.13/0.42 sQ0_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.13/0.42 fof(f101,definition,(
% 0.13/0.42 sQ2_spl <=> (multiply(sk_c4,sk_c9)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f102,plain,(
% 0.13/0.42 multiply(sk_c4,sk_c9)=sk_c10|~sQ2_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.42 fof(f104,plain,(
% 0.13/0.42 sQ0_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.13/0.42 fof(f105,definition,(
% 0.13/0.42 sQ3_spl <=> (inverse(sk_c5)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f106,plain,(
% 0.13/0.42 inverse(sk_c5)=sk_c9|~sQ3_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.42 fof(f108,plain,(
% 0.13/0.42 sQ0_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.13/0.42 fof(f109,definition,(
% 0.13/0.42 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f110,plain,(
% 0.13/0.42 multiply(sk_c5,sk_c8)=sk_c9|~sQ4_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.42 fof(f112,plain,(
% 0.13/0.42 sQ0_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.13/0.42 fof(f113,definition,(
% 0.13/0.42 sQ5_spl <=> (multiply(sk_c6,sk_c7)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f114,plain,(
% 0.13/0.42 multiply(sk_c6,sk_c7)=sk_c9|~sQ5_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f113])).
% 0.13/0.42 fof(f116,plain,(
% 0.13/0.42 sQ0_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.13/0.42 fof(f117,definition,(
% 0.13/0.42 sQ6_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f118,plain,(
% 0.13/0.42 inverse(sk_c6)=sk_c7|~sQ6_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.42 fof(f120,plain,(
% 0.13/0.42 sQ0_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.13/0.42 fof(f121,definition,(
% 0.13/0.42 sQ7_spl <=> (multiply(sk_c7,sk_c8)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f122,plain,(
% 0.13/0.42 multiply(sk_c7,sk_c8)=sk_c9|~sQ7_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.42 fof(f124,plain,(
% 0.13/0.42 sQ0_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.13/0.42 fof(f125,definition,(
% 0.13/0.42 sQ8_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f126,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c10|~sQ8_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.42 fof(f128,plain,(
% 0.13/0.42 sQ8_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.13/0.42 fof(f129,plain,(
% 0.13/0.42 sQ8_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.13/0.42 fof(f130,plain,(
% 0.13/0.42 sQ8_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.13/0.42 fof(f131,plain,(
% 0.13/0.42 sQ8_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.13/0.42 fof(f132,plain,(
% 0.13/0.42 sQ8_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.13/0.42 fof(f133,plain,(
% 0.13/0.42 sQ8_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.13/0.42 fof(f134,plain,(
% 0.13/0.42 sQ8_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.13/0.42 fof(f135,definition,(
% 0.13/0.42 sQ9_spl <=> (multiply(sk_c2,sk_c9)=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f136,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c9)=sk_c8|~sQ9_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f135])).
% 0.13/0.42 fof(f139,plain,(
% 0.13/0.42 sQ9_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.13/0.42 fof(f140,plain,(
% 0.13/0.42 sQ9_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.13/0.42 fof(f141,plain,(
% 0.13/0.42 sQ9_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.13/0.42 fof(f142,plain,(
% 0.13/0.42 sQ9_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.13/0.42 fof(f143,plain,(
% 0.13/0.42 sQ9_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.13/0.42 fof(f144,plain,(
% 0.13/0.42 sQ9_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.13/0.42 fof(f145,definition,(
% 0.13/0.42 sQ10_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f146,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c9|~sQ10_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.42 fof(f149,plain,(
% 0.13/0.42 sQ10_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.13/0.42 fof(f150,plain,(
% 0.13/0.42 sQ10_spl|sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.13/0.42 fof(f151,plain,(
% 0.13/0.42 sQ10_spl|sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.13/0.42 fof(f152,plain,(
% 0.13/0.42 sQ10_spl|sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.13/0.42 fof(f153,plain,(
% 0.13/0.42 sQ10_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.13/0.42 fof(f154,plain,(
% 0.13/0.42 sQ10_spl|sQ7_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.13/0.42 fof(f155,definition,(
% 0.13/0.42 sQ11_spl <=> (inverse(sk_c3)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f158,plain,(
% 0.13/0.42 sQ11_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.13/0.42 fof(f159,plain,(
% 0.13/0.42 sQ11_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.13/0.42 fof(f165,definition,(
% 0.13/0.42 sQ12_spl <=> (multiply(sk_c3,sk_c9)=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f166,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c9)=sk_c10|~sQ12_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f165])).
% 0.13/0.42 fof(f168,plain,(
% 0.13/0.42 sQ12_spl|sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.13/0.42 fof(f169,plain,(
% 0.13/0.42 sQ12_spl|sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.13/0.42 fof(f175,definition,(
% 0.13/0.42 ![X0]: (sQ13_spl <=> (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f176,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ13_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.42 fof(f178,definition,(
% 0.13/0.42 ![X1]: (sQ14_spl <=> (~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f179,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f178])).
% 0.13/0.42 fof(f181,definition,(
% 0.13/0.42 ![X2]: (sQ15_spl <=> (~inverse(X2)=sk_c10|~multiply(X2,sk_c9)=sk_c10))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f182,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~sQ15_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f181])).
% 0.13/0.42 fof(f184,definition,(
% 0.13/0.42 ![X4]: (sQ16_spl <=> (~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f185,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ16_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f184])).
% 0.13/0.42 fof(f187,definition,(
% 0.13/0.42 ![X5,X6]: (sQ17_spl <=> (~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f188,plain,(
% 0.13/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~sQ17_spl)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f187])).
% 0.13/0.42 fof(f190,plain,(
% 0.13/0.42 sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|sQ17_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.13/0.42 fof(f191,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~sQ17_spl)),
% 0.13/0.42 inference(destructive_equality_resolution,[status(thm)],[f188])).
% 0.13/0.42 fof(f193,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c4,multiply(sk_c9,X0))|~sQ2_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f102,f49])).
% 0.13/0.42 fof(f195,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ5_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f114,f49])).
% 0.13/0.42 fof(f209,plain,(
% 0.13/0.42 ~multiply(sk_c5,inverse(sk_c5))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ17_spl|~sQ3_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f106,f191])).
% 0.13/0.42 fof(f211,plain,(
% 0.13/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|~multiply(sk_c10,sk_c8)=sk_c9|~sQ17_spl|~sQ8_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f126,f191])).
% 0.13/0.42 fof(f212,plain,(
% 0.13/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ17_spl|~sQ10_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f146,f191])).
% 0.13/0.42 fof(f217,definition,(
% 0.13/0.42 sQ19_spl <=> (multiply(sk_c10,sk_c8)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f221,definition,(
% 0.13/0.42 sQ20_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f223,plain,(
% 0.13/0.42 ~multiply(sk_c5,inverse(sk_c5))=sk_c9|sQ20_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f221])).
% 0.13/0.42 fof(f224,definition,(
% 0.13/0.42 sQ21_spl <=> (multiply(sk_c9,sk_c8)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f225,plain,(
% 0.13/0.42 multiply(sk_c9,sk_c8)=sk_c9|~sQ21_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f224])).
% 0.13/0.42 fof(f226,plain,(
% 0.13/0.42 ~multiply(sk_c9,sk_c8)=sk_c9|sQ21_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f224])).
% 0.13/0.42 fof(f227,plain,(
% 0.13/0.42 ~sQ20_spl|~sQ21_spl|~sQ17_spl|~sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f209,f221,f224,f187,f105])).
% 0.13/0.42 fof(f232,definition,(
% 0.13/0.42 sQ23_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f234,plain,(
% 0.13/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|sQ23_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f232])).
% 0.13/0.42 fof(f235,plain,(
% 0.13/0.42 ~sQ23_spl|~sQ19_spl|~sQ17_spl|~sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f211,f232,f217,f187,f125])).
% 0.13/0.42 fof(f236,definition,(
% 0.13/0.42 sQ24_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f238,plain,(
% 0.13/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|sQ24_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f236])).
% 0.13/0.42 fof(f239,plain,(
% 0.13/0.42 ~sQ24_spl|~sQ21_spl|~sQ17_spl|~sQ10_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f212,f236,f224,f187,f145])).
% 0.13/0.42 fof(f245,plain,(
% 0.13/0.42 ~multiply(sk_c2,sk_c9)=sk_c9|~sQ10_spl|sQ24_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f146,f238])).
% 0.13/0.42 fof(f246,plain,(
% 0.13/0.42 ~sk_c8=sk_c9|~sQ9_spl|~sQ10_spl|sQ24_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f136,f245])).
% 0.13/0.42 fof(f247,plain,(
% 0.13/0.42 ~multiply(sk_c1,sk_c10)=sk_c9|~sQ8_spl|sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f126,f234])).
% 0.13/0.42 fof(f248,plain,(
% 0.13/0.42 ~sk_c9=sk_c9|~sQ0_spl|~sQ8_spl|sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f95,f247])).
% 0.13/0.42 fof(f249,plain,(
% 0.13/0.42 $false|~sQ0_spl|~sQ8_spl|sQ23_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f248])).
% 0.13/0.42 fof(f250,plain,(
% 0.13/0.42 ~sQ0_spl|~sQ8_spl|sQ23_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f249])).
% 0.13/0.42 fof(f253,plain,(
% 0.13/0.42 ~inverse(sk_c5)=sk_c9|~sk_c9=sk_c9|~sQ16_spl|~sQ4_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f110,f185])).
% 0.13/0.42 fof(f254,definition,(
% 0.13/0.42 sQ26_spl <=> (sk_c9=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f256,plain,(
% 0.13/0.42 ~sk_c9=sk_c9|sQ26_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f254])).
% 0.13/0.42 fof(f257,plain,(
% 0.13/0.42 ~sQ3_spl|~sQ26_spl|~sQ16_spl|~sQ4_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f253,f105,f254,f184,f109])).
% 0.13/0.42 fof(f258,plain,(
% 0.13/0.42 $false|sQ26_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f256])).
% 0.13/0.42 fof(f259,plain,(
% 0.13/0.42 sQ26_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f258])).
% 0.13/0.42 fof(f261,plain,(
% 0.13/0.42 multiply(sk_c7,sk_c6)=identity|~sQ6_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f118,f48])).
% 0.13/0.42 fof(f265,plain,(
% 0.13/0.42 multiply(sk_c9,sk_c2)=identity|~sQ10_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f146,f48])).
% 0.13/0.42 fof(f267,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.13/0.42 fof(f268,plain,(
% 0.13/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f47,f267])).
% 0.13/0.42 fof(f270,plain,(
% 0.13/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~sQ6_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f261,f49])).
% 0.13/0.42 fof(f271,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~sQ6_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f47,f270])).
% 0.13/0.42 fof(f279,plain,(
% 0.13/0.42 ~inverse(sk_c4)=sk_c10|~sQ15_spl|~sQ2_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f182,f102])).
% 0.13/0.42 fof(f286,plain,(
% 0.13/0.42 ~inverse(sk_c3)=sk_c10|~sk_c10=sk_c10|~sQ15_spl|~sQ12_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f166,f182])).
% 0.13/0.42 fof(f287,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~sQ1_spl|~sQ15_spl|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f98,f279])).
% 0.13/0.42 fof(f288,plain,(
% 0.13/0.42 $false|~sQ1_spl|~sQ15_spl|~sQ2_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f287])).
% 0.13/0.42 fof(f289,plain,(
% 0.13/0.42 ~sQ1_spl|~sQ15_spl|~sQ2_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f288])).
% 0.13/0.42 fof(f318,plain,(
% 0.13/0.42 sk_c7=multiply(sk_c7,sk_c9)|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f114,f271])).
% 0.13/0.42 fof(f327,plain,(
% 0.13/0.42 multiply(sk_c9,sk_c9)=multiply(sk_c6,sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f318,f195])).
% 0.13/0.42 fof(f329,plain,(
% 0.13/0.42 multiply(sk_c9,sk_c9)=sk_c9|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f114,f327])).
% 0.13/0.42 fof(f331,plain,(
% 0.13/0.42 multiply(sk_c10,sk_c9)=multiply(sk_c4,sk_c9)|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f329,f193])).
% 0.13/0.42 fof(f334,plain,(
% 0.13/0.42 multiply(sk_c10,sk_c9)=sk_c10|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f102,f331])).
% 0.13/0.42 fof(f342,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c10,multiply(sk_c1,X0))|~sQ8_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f126,f268])).
% 0.13/0.42 fof(f346,plain,(
% 0.13/0.42 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f334,f268])).
% 0.13/0.42 fof(f362,plain,(
% 0.13/0.42 sk_c9=multiply(inverse(sk_c4),sk_c10)|~sQ2_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f102,f268])).
% 0.13/0.42 fof(f364,plain,(
% 0.13/0.42 sk_c8=multiply(inverse(sk_c5),sk_c9)|~sQ4_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f110,f268])).
% 0.13/0.42 fof(f368,plain,(
% 0.13/0.42 sk_c9=multiply(inverse(sk_c2),sk_c8)|~sQ9_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f136,f268])).
% 0.13/0.42 fof(f374,plain,(
% 0.13/0.42 sk_c9=identity|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f48,f346])).
% 0.13/0.43 fof(f378,plain,(
% 0.13/0.43 sk_c9=multiply(sk_c10,sk_c10)|~sQ1_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f98,f362])).
% 0.13/0.43 fof(f380,plain,(
% 0.13/0.43 sk_c8=multiply(sk_c9,sk_c9)|~sQ3_spl|~sQ4_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f106,f364])).
% 0.13/0.43 fof(f384,plain,(
% 0.13/0.43 sk_c9=multiply(sk_c9,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f146,f368])).
% 0.13/0.43 fof(f392,plain,(
% 0.13/0.43 multiply(sk_c7,sk_c6)=sk_c9|~sQ2_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f374,f261])).
% 0.13/0.43 fof(f393,plain,(
% 0.13/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ2_spl|~sQ6_spl|~sQ5_spl)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f374,f48])).
% 0.13/0.43 fof(f394,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c9,X0)=X0|~sQ2_spl|~sQ6_spl|~sQ5_spl)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f374,f47])).
% 0.13/0.43 fof(f411,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c4,X0)|~sQ6_spl|~sQ5_spl|~sQ2_spl)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f394,f193])).
% 0.13/0.43 fof(f442,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c8,X0)=X0|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f459,f394])).
% 0.13/0.43 fof(f443,plain,(
% 0.13/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f459,f393])).
% 0.13/0.43 fof(f450,plain,(
% 0.13/0.43 multiply(sk_c7,sk_c8)=sk_c8|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ7_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f459,f122])).
% 0.13/0.43 fof(f452,plain,(
% 0.13/0.43 inverse(sk_c5)=sk_c8|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f459,f106])).
% 0.13/0.43 fof(f459,plain,(
% 0.13/0.43 sk_c8=sk_c9|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f394,f380])).
% 0.13/0.43 fof(f479,plain,(
% 0.13/0.43 multiply(sk_c8,sk_c5)=sk_c8|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f452,f443])).
% 0.13/0.43 fof(f487,plain,(
% 0.13/0.43 sk_c5=sk_c8|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f442,f479])).
% 0.13/0.43 fof(f497,definition,(
% 0.13/0.43 sQ34_spl <=> (sk_c8=sk_c8)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f499,plain,(
% 0.13/0.43 ~sk_c8=sk_c8|sQ34_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f497])).
% 0.13/0.43 fof(f518,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ7_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f450,f49])).
% 0.13/0.43 fof(f519,plain,(
% 0.13/0.43 ![X0]: (X0=multiply(sk_c7,multiply(sk_c8,X0))|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ7_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f442,f518])).
% 0.13/0.43 fof(f520,plain,(
% 0.13/0.43 ![X0]: (X0=multiply(sk_c7,X0)|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ7_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f442,f519])).
% 0.13/0.43 fof(f567,plain,(
% 0.13/0.43 sk_c6=sk_c9|~sQ3_spl|~sQ4_spl|~sQ7_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f520,f392])).
% 0.13/0.43 fof(f647,definition,(
% 0.13/0.43 sQ39_spl <=> (sk_c2=sk_c2)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f649,plain,(
% 0.13/0.43 ~sk_c2=sk_c2|sQ39_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f647])).
% 0.13/0.43 fof(f675,plain,(
% 0.13/0.43 $false|sQ39_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f649])).
% 0.13/0.43 fof(f676,plain,(
% 0.13/0.43 sQ39_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f675])).
% 0.13/0.43 fof(f680,plain,(
% 0.13/0.43 sk_c5=sk_c6|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f682,f487])).
% 0.13/0.43 fof(f682,plain,(
% 0.13/0.43 sk_c8=sk_c6|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f567,f459])).
% 0.13/0.43 fof(f704,plain,(
% 0.13/0.43 inverse(sk_c6)=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f680,f106])).
% 0.13/0.43 fof(f705,plain,(
% 0.13/0.43 sk_c6=sk_c7|~sQ3_spl|~sQ4_spl|~sQ7_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f706,f567])).
% 0.13/0.43 fof(f706,plain,(
% 0.13/0.43 sk_c7=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f118,f704])).
% 0.13/0.43 fof(f712,plain,(
% 0.13/0.43 sk_c5=sk_c7|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f705,f680])).
% 0.13/0.43 fof(f715,plain,(
% 0.13/0.43 sk_c8=sk_c7|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f705,f682])).
% 0.13/0.43 fof(f732,plain,(
% 0.13/0.43 inverse(sk_c7)=sk_c8|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f712,f452])).
% 0.13/0.43 fof(f733,plain,(
% 0.13/0.43 inverse(sk_c7)=sk_c7|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f715,f732])).
% 0.13/0.43 fof(f745,definition,(
% 0.13/0.43 sQ44_spl <=> (sk_c7=sk_c7)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f747,plain,(
% 0.13/0.43 ~sk_c7=sk_c7|sQ44_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f745])).
% 0.13/0.43 fof(f766,plain,(
% 0.13/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f706,f393])).
% 0.13/0.43 fof(f776,plain,(
% 0.13/0.43 $false|sQ44_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f747])).
% 0.13/0.43 fof(f777,plain,(
% 0.13/0.43 sQ44_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f776])).
% 0.13/0.43 fof(f888,plain,(
% 0.13/0.43 ~multiply(sk_c7,sk_c8)=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f706,f226])).
% 0.13/0.43 fof(f889,plain,(
% 0.13/0.43 ~sk_c8=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f520,f888])).
% 0.13/0.43 fof(f890,plain,(
% 0.13/0.43 ~sk_c7=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f715,f889])).
% 0.13/0.43 fof(f891,plain,(
% 0.13/0.43 ~sk_c7=sk_c7|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f706,f890])).
% 0.13/0.43 fof(f892,plain,(
% 0.13/0.43 $false|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f891])).
% 0.13/0.43 fof(f893,plain,(
% 0.13/0.43 ~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f892])).
% 0.13/0.43 fof(f894,plain,(
% 0.13/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f706,f179])).
% 0.13/0.43 fof(f895,plain,(
% 0.13/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f715,f894])).
% 0.13/0.43 fof(f896,plain,(
% 0.13/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f706,f895])).
% 0.13/0.43 fof(f926,plain,(
% 0.13/0.43 ~inverse(inverse(sk_c7))=sk_c7|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f896,f766])).
% 0.13/0.43 fof(f932,plain,(
% 0.13/0.43 ~inverse(sk_c7)=sk_c7|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f733,f926])).
% 0.13/0.43 fof(f933,plain,(
% 0.13/0.43 ~sk_c7=sk_c7|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f733,f932])).
% 0.13/0.43 fof(f934,plain,(
% 0.13/0.43 $false|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f933])).
% 0.13/0.43 fof(f935,plain,(
% 0.13/0.43 ~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f934])).
% 0.13/0.43 fof(f936,plain,(
% 0.13/0.43 ~multiply(sk_c7,inverse(sk_c5))=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f712,f223])).
% 0.13/0.43 fof(f937,plain,(
% 0.13/0.43 ~inverse(sk_c5)=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f520,f936])).
% 0.13/0.43 fof(f938,plain,(
% 0.13/0.43 ~inverse(sk_c7)=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f712,f937])).
% 0.13/0.43 fof(f939,plain,(
% 0.13/0.43 ~sk_c7=sk_c9|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f733,f938])).
% 0.13/0.43 fof(f940,plain,(
% 0.13/0.43 ~sk_c7=sk_c7|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f706,f939])).
% 0.13/0.43 fof(f941,plain,(
% 0.13/0.43 $false|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f940])).
% 0.13/0.43 fof(f942,plain,(
% 0.13/0.43 ~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f941])).
% 0.13/0.43 fof(f943,plain,(
% 0.13/0.43 $false|sQ34_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f499])).
% 0.13/0.43 fof(f944,plain,(
% 0.13/0.43 sQ34_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f943])).
% 0.13/0.43 fof(f945,plain,(
% 0.13/0.43 sQ21_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f384,f224,f145,f135])).
% 0.13/0.43 fof(f952,definition,(
% 0.13/0.43 sQ47_spl <=> (sk_c10=sk_c10)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f954,plain,(
% 0.13/0.43 ~sk_c10=sk_c10|sQ47_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f952])).
% 0.13/0.43 fof(f955,plain,(
% 0.13/0.43 ~sQ11_spl|~sQ47_spl|~sQ15_spl|~sQ12_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f286,f155,f952,f181,f165])).
% 0.13/0.43 fof(f956,plain,(
% 0.13/0.43 $false|sQ47_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f954])).
% 0.13/0.43 fof(f957,plain,(
% 0.13/0.43 sQ47_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f956])).
% 0.13/0.43 fof(f1166,plain,(
% 0.13/0.43 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ21_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f225,f268])).
% 0.13/0.43 fof(f1168,plain,(
% 0.13/0.43 sk_c8=identity|~sQ21_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f48,f1166])).
% 0.13/0.43 fof(f1169,plain,(
% 0.13/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ21_spl)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f1168,f48])).
% 0.13/0.43 fof(f1170,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c8,X0)=X0|~sQ21_spl)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f1168,f47])).
% 0.13/0.43 fof(f1190,plain,(
% 0.13/0.43 multiply(sk_c9,sk_c2)=sk_c8|~sQ21_spl|~sQ10_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f1168,f265])).
% 0.13/0.43 fof(f1195,plain,(
% 0.13/0.43 ~inverse(sk_c2)=sk_c9|~sQ14_spl|~sQ9_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f179,f136])).
% 0.13/0.43 fof(f1201,plain,(
% 0.13/0.43 ~sk_c9=sk_c9|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f146,f1195])).
% 0.13/0.43 fof(f1202,plain,(
% 0.13/0.43 $false|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f1201])).
% 0.13/0.43 fof(f1203,plain,(
% 0.13/0.43 ~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f1202])).
% 0.13/0.43 fof(f1227,plain,(
% 0.13/0.43 sk_c10=multiply(sk_c10,sk_c9)|~sQ8_spl|~sQ0_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f95,f342])).
% 0.13/0.43 fof(f1231,plain,(
% 0.13/0.43 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ8_spl|~sQ0_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f1227,f268])).
% 0.13/0.43 fof(f1233,plain,(
% 0.13/0.43 sk_c9=sk_c8|~sQ21_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f1169,f1231])).
% 0.13/0.43 fof(f1234,plain,(
% 0.13/0.43 $false|~sQ9_spl|~sQ10_spl|sQ24_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1233,f246])).
% 0.13/0.43 fof(f1235,plain,(
% 0.13/0.43 ~sQ9_spl|~sQ10_spl|sQ24_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f1234])).
% 0.13/0.43 fof(f1238,plain,(
% 0.13/0.43 ~inverse(sk_c1)=sk_c10|~sQ13_spl|~sQ0_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f176,f95])).
% 0.13/0.43 fof(f1246,plain,(
% 0.13/0.43 ~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f1238,f125,f175,f94])).
% 0.13/0.43 fof(f1254,definition,(
% 0.13/0.43 sQ52_spl <=> (sk_c8=sk_c9)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f1256,plain,(
% 0.13/0.43 ~sk_c8=sk_c9|sQ52_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f1254])).
% 0.13/0.43 fof(f1258,plain,(
% 0.13/0.43 ~inverse(sk_c9)=sk_c9|~sQ16_spl|~sQ21_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f185,f225])).
% 0.13/0.43 fof(f1297,plain,(
% 0.13/0.43 multiply(sk_c8,sk_c2)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ10_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f1233,f1190])).
% 0.13/0.43 fof(f1305,plain,(
% 0.13/0.43 inverse(sk_c2)=sk_c8|~sQ21_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f1233,f146])).
% 0.13/0.43 fof(f1313,plain,(
% 0.13/0.43 sk_c2=sk_c8|~sQ8_spl|~sQ0_spl|~sQ21_spl|~sQ10_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f1170,f1297])).
% 0.13/0.43 fof(f1315,plain,(
% 0.13/0.43 ~sk_c8=sk_c8|~sQ21_spl|~sQ8_spl|~sQ0_spl|sQ52_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f1233,f1256])).
% 0.13/0.43 fof(f1316,plain,(
% 0.13/0.43 $false|~sQ21_spl|~sQ8_spl|~sQ0_spl|sQ52_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f1315])).
% 0.13/0.43 fof(f1317,plain,(
% 0.13/0.43 ~sQ21_spl|~sQ8_spl|~sQ0_spl|sQ52_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f1316])).
% 0.13/0.43 fof(f1318,plain,(
% 0.13/0.43 sk_c9=sk_c2|~sQ10_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f1313,f1233])).
% 0.13/0.43 fof(f1332,plain,(
% 0.13/0.43 ~inverse(sk_c2)=sk_c9|~sQ10_spl|~sQ8_spl|~sQ0_spl|~sQ16_spl|~sQ21_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f1318,f1258])).
% 0.13/0.43 fof(f1333,plain,(
% 0.13/0.43 ~inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ8_spl|~sQ0_spl|~sQ16_spl|~sQ21_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f1318,f1332])).
% 0.13/0.43 fof(f1338,plain,(
% 0.13/0.43 inverse(sk_c2)=sk_c2|~sQ21_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f1313,f1305])).
% 0.13/0.43 fof(f1339,plain,(
% 0.13/0.43 $false|~sQ16_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1338,f1333])).
% 0.13/0.43 fof(f1340,plain,(
% 0.13/0.43 ~sQ16_spl|~sQ21_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f1339])).
% 0.13/0.43 fof(f1341,plain,(
% 0.13/0.43 ![X0]: (~multiply(X0,sk_c10)=sk_c7|~inverse(X0)=sk_c10|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f706,f176])).
% 0.13/0.43 fof(f1406,plain,(
% 0.13/0.43 sk_c7=multiply(sk_c10,sk_c10)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f706,f378])).
% 0.13/0.43 fof(f1490,plain,(
% 0.13/0.43 sk_c7=multiply(sk_c4,sk_c10)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f411,f1406])).
% 0.13/0.43 fof(f1504,plain,(
% 0.13/0.43 ~inverse(sk_c4)=sk_c10|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f1490,f1341])).
% 0.13/0.43 fof(f1509,plain,(
% 0.13/0.43 ~sk_c10=sk_c10|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f98,f1504])).
% 0.13/0.43 fof(f1510,plain,(
% 0.13/0.43 $false|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f1509])).
% 0.13/0.43 fof(f1511,plain,(
% 0.13/0.43 ~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ13_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f1510])).
% 0.13/0.43 fof(f1512,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(sat_refutation,[status(thm)],[f100,f104,f108,f112,f116,f120,f124,f128,f129,f130,f131,f132,f133,f134,f139,f140,f141,f142,f143,f144,f149,f150,f151,f152,f153,f154,f158,f159,f168,f169,f190,f227,f235,f239,f250,f257,f259,f289,f676,f777,f893,f935,f942,f944,f945,f955,f957,f1203,f1235,f1246,f1317,f1340,f1511])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.087819 seconds
% 0.13/0.44 % CPU time: 0.384781 seconds
% 0.13/0.44 % Total memory used: 108.246 MB
% 0.13/0.44 % Net memory used: 107.977 MB
%------------------------------------------------------------------------------