%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP242-1 : 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 : n008.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 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP242-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.57 % Computer : n008.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Sun Sep 20 20:07:54 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.11/0.58 % Drodi V4.1.1
% 0.13/0.73 % Refutation found
% 0.13/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.73 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.73 fof(f1,axiom,(
% 0.13/0.73 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f2,axiom,(
% 0.13/0.73 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f3,axiom,(
% 0.13/0.73 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f4,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c10,sk_c9) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f5,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f6,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f7,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f8,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f9,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c8) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f10,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c1) = sk_c11| multiply(sk_c10,sk_c9) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f11,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c1) = sk_c11| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f12,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c1) = sk_c11| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f13,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c1) = sk_c11| inverse(sk_c7) = sk_c10 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f14,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c1) = sk_c11| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f15,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c1) = sk_c11| inverse(sk_c8) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f16,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c10,sk_c9) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f17,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f18,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f19,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c7) = sk_c10 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f20,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f21,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c8) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f22,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c2) = sk_c10| multiply(sk_c10,sk_c9) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f23,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c2) = sk_c10| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f24,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c2) = sk_c10| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f25,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c2) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f26,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c2) = sk_c10| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f27,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c2) = sk_c10| inverse(sk_c8) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f28,negated_conjecture,(
% 0.13/0.73 ( multiply(sk_c3,sk_c6) = sk_c11| multiply(sk_c10,sk_c9) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f34,negated_conjecture,(
% 0.13/0.73 ( inverse(sk_c3) = sk_c6| multiply(sk_c10,sk_c9) = sk_c11 ) ),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f64,negated_conjecture,(
% 0.13/0.73 (![X3,X4,X5,X6,X7,X8,X1,X2]: (( multiply(X3,sk_c11) != sk_c10| inverse(X3) != sk_c11| multiply(X4,sk_c10) != sk_c9| inverse(X4) != 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| multiply(sk_c10,sk_c9) != sk_c11| inverse(sk_c10) != sk_c9| multiply(X1,sk_c10) != sk_c11| inverse(X1) != sk_c10| multiply(X2,sk_c11) != sk_c9| inverse(X2) != sk_c11 ) ))),
% 0.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.73 fof(f65,plain,(
% 0.13/0.73 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.73 fof(f66,plain,(
% 0.13/0.73 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.73 fof(f67,plain,(
% 0.13/0.73 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.73 fof(f68,plain,(
% 0.13/0.73 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c10,sk_c9)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.73 fof(f69,plain,(
% 0.13/0.73 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c10)=sk_c9),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.73 fof(f70,plain,(
% 0.13/0.73 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c7,sk_c10)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.73 fof(f71,plain,(
% 0.13/0.73 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.73 fof(f72,plain,(
% 0.13/0.73 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c8,sk_c11)=sk_c9),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.73 fof(f73,plain,(
% 0.13/0.73 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c8)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.73 fof(f74,plain,(
% 0.13/0.73 inverse(sk_c1)=sk_c11|multiply(sk_c10,sk_c9)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.73 fof(f75,plain,(
% 0.13/0.73 inverse(sk_c1)=sk_c11|inverse(sk_c10)=sk_c9),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.73 fof(f76,plain,(
% 0.13/0.73 inverse(sk_c1)=sk_c11|multiply(sk_c7,sk_c10)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.73 fof(f77,plain,(
% 0.13/0.73 inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c10),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.73 fof(f78,plain,(
% 0.13/0.73 inverse(sk_c1)=sk_c11|multiply(sk_c8,sk_c11)=sk_c9),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.73 fof(f79,plain,(
% 0.13/0.73 inverse(sk_c1)=sk_c11|inverse(sk_c8)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.73 fof(f80,plain,(
% 0.13/0.73 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c10,sk_c9)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.73 fof(f81,plain,(
% 0.13/0.73 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c10)=sk_c9),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.73 fof(f82,plain,(
% 0.13/0.73 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c7,sk_c10)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.73 fof(f83,plain,(
% 0.13/0.73 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c7)=sk_c10),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.73 fof(f84,plain,(
% 0.13/0.73 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c8,sk_c11)=sk_c9),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.73 fof(f85,plain,(
% 0.13/0.73 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c8)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.73 fof(f86,plain,(
% 0.13/0.73 inverse(sk_c2)=sk_c10|multiply(sk_c10,sk_c9)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.73 fof(f87,plain,(
% 0.13/0.73 inverse(sk_c2)=sk_c10|inverse(sk_c10)=sk_c9),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.73 fof(f88,plain,(
% 0.13/0.73 inverse(sk_c2)=sk_c10|multiply(sk_c7,sk_c10)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.73 fof(f89,plain,(
% 0.13/0.73 inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.73 fof(f90,plain,(
% 0.13/0.73 inverse(sk_c2)=sk_c10|multiply(sk_c8,sk_c11)=sk_c9),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.73 fof(f91,plain,(
% 0.13/0.73 inverse(sk_c2)=sk_c10|inverse(sk_c8)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.73 fof(f92,plain,(
% 0.13/0.73 multiply(sk_c3,sk_c6)=sk_c11|multiply(sk_c10,sk_c9)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.73 fof(f98,plain,(
% 0.13/0.73 inverse(sk_c3)=sk_c6|multiply(sk_c10,sk_c9)=sk_c11),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.73 fof(f128,plain,(
% 0.13/0.73 ![X2]: (((![X1]: (((((![X6,X7,X8]: (((((![X5]: (((![X4]: (((![X3]: (~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11))|~multiply(X4,sk_c10)=sk_c9)|~inverse(X4)=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))|~multiply(sk_c10,sk_c9)=sk_c11)|~inverse(sk_c10)=sk_c9)|~multiply(X1,sk_c10)=sk_c11)|~inverse(X1)=sk_c10))|~multiply(X2,sk_c11)=sk_c9)|~inverse(X2)=sk_c11)),
% 0.13/0.73 inference(miniscoping,[status(thm)],[f64])).
% 0.13/0.73 fof(f129,plain,(
% 0.13/0.73 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10|~multiply(X2,X3)=sk_c11|~inverse(X2)=X3|~multiply(X3,sk_c10)=sk_c11|~inverse(X4)=X5|~inverse(X5)=X3|~multiply(X4,X3)=X5|~multiply(sk_c10,sk_c9)=sk_c11|~inverse(sk_c10)=sk_c9|~multiply(X6,sk_c10)=sk_c11|~inverse(X6)=sk_c10|~multiply(X7,sk_c11)=sk_c9|~inverse(X7)=sk_c11)),
% 0.13/0.73 inference(cnf_transformation,[status(thm)],[f128])).
% 0.13/0.73 fof(f130,definition,(
% 0.13/0.73 sQ0_spl <=> (multiply(sk_c1,sk_c11)=sk_c10)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f131,plain,(
% 0.13/0.73 multiply(sk_c1,sk_c11)=sk_c10|~sQ0_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f130])).
% 0.13/0.73 fof(f133,definition,(
% 0.13/0.73 sQ1_spl <=> (multiply(sk_c10,sk_c9)=sk_c11)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f134,plain,(
% 0.13/0.73 multiply(sk_c10,sk_c9)=sk_c11|~sQ1_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.73 fof(f135,plain,(
% 0.13/0.73 ~multiply(sk_c10,sk_c9)=sk_c11|sQ1_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.73 fof(f136,plain,(
% 0.13/0.73 sQ0_spl|sQ1_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f68,f130,f133])).
% 0.13/0.73 fof(f137,definition,(
% 0.13/0.73 sQ2_spl <=> (inverse(sk_c10)=sk_c9)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f138,plain,(
% 0.13/0.73 inverse(sk_c10)=sk_c9|~sQ2_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f137])).
% 0.13/0.73 fof(f139,plain,(
% 0.13/0.73 ~inverse(sk_c10)=sk_c9|sQ2_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f137])).
% 0.13/0.73 fof(f140,plain,(
% 0.13/0.73 sQ0_spl|sQ2_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f69,f130,f137])).
% 0.13/0.73 fof(f141,definition,(
% 0.13/0.73 sQ3_spl <=> (multiply(sk_c7,sk_c10)=sk_c11)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f142,plain,(
% 0.13/0.73 multiply(sk_c7,sk_c10)=sk_c11|~sQ3_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.73 fof(f144,plain,(
% 0.13/0.73 sQ0_spl|sQ3_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f70,f130,f141])).
% 0.13/0.73 fof(f145,definition,(
% 0.13/0.73 sQ4_spl <=> (inverse(sk_c7)=sk_c10)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f146,plain,(
% 0.13/0.73 inverse(sk_c7)=sk_c10|~sQ4_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.73 fof(f148,plain,(
% 0.13/0.73 sQ0_spl|sQ4_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f71,f130,f145])).
% 0.13/0.73 fof(f149,definition,(
% 0.13/0.73 sQ5_spl <=> (multiply(sk_c8,sk_c11)=sk_c9)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f150,plain,(
% 0.13/0.73 multiply(sk_c8,sk_c11)=sk_c9|~sQ5_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.73 fof(f152,plain,(
% 0.13/0.73 sQ0_spl|sQ5_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f72,f130,f149])).
% 0.13/0.73 fof(f153,definition,(
% 0.13/0.73 sQ6_spl <=> (inverse(sk_c8)=sk_c11)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f154,plain,(
% 0.13/0.73 inverse(sk_c8)=sk_c11|~sQ6_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.73 fof(f156,plain,(
% 0.13/0.73 sQ0_spl|sQ6_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f73,f130,f153])).
% 0.13/0.73 fof(f157,definition,(
% 0.13/0.73 sQ7_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f158,plain,(
% 0.13/0.73 inverse(sk_c1)=sk_c11|~sQ7_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.73 fof(f160,plain,(
% 0.13/0.73 sQ7_spl|sQ1_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f74,f157,f133])).
% 0.13/0.73 fof(f161,plain,(
% 0.13/0.73 sQ7_spl|sQ2_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f75,f157,f137])).
% 0.13/0.73 fof(f162,plain,(
% 0.13/0.73 sQ7_spl|sQ3_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f76,f157,f141])).
% 0.13/0.73 fof(f163,plain,(
% 0.13/0.73 sQ7_spl|sQ4_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f77,f157,f145])).
% 0.13/0.73 fof(f164,plain,(
% 0.13/0.73 sQ7_spl|sQ5_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f78,f157,f149])).
% 0.13/0.73 fof(f165,plain,(
% 0.13/0.73 sQ7_spl|sQ6_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f79,f157,f153])).
% 0.13/0.73 fof(f166,definition,(
% 0.13/0.73 sQ8_spl <=> (multiply(sk_c2,sk_c10)=sk_c9)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f167,plain,(
% 0.13/0.73 multiply(sk_c2,sk_c10)=sk_c9|~sQ8_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f166])).
% 0.13/0.73 fof(f169,plain,(
% 0.13/0.73 sQ8_spl|sQ1_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f80,f166,f133])).
% 0.13/0.73 fof(f170,plain,(
% 0.13/0.73 sQ8_spl|sQ2_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f81,f166,f137])).
% 0.13/0.73 fof(f171,plain,(
% 0.13/0.73 sQ8_spl|sQ3_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f82,f166,f141])).
% 0.13/0.73 fof(f172,plain,(
% 0.13/0.73 sQ8_spl|sQ4_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f83,f166,f145])).
% 0.13/0.73 fof(f173,plain,(
% 0.13/0.73 sQ8_spl|sQ5_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f84,f166,f149])).
% 0.13/0.73 fof(f174,plain,(
% 0.13/0.73 sQ8_spl|sQ6_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f85,f166,f153])).
% 0.13/0.73 fof(f175,definition,(
% 0.13/0.73 sQ9_spl <=> (inverse(sk_c2)=sk_c10)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f176,plain,(
% 0.13/0.73 inverse(sk_c2)=sk_c10|~sQ9_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.73 fof(f178,plain,(
% 0.13/0.73 sQ9_spl|sQ1_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f86,f175,f133])).
% 0.13/0.73 fof(f179,plain,(
% 0.13/0.73 sQ9_spl|sQ2_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f87,f175,f137])).
% 0.13/0.73 fof(f180,plain,(
% 0.13/0.73 sQ9_spl|sQ3_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f88,f175,f141])).
% 0.13/0.73 fof(f181,plain,(
% 0.13/0.73 sQ9_spl|sQ4_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f89,f175,f145])).
% 0.13/0.73 fof(f182,plain,(
% 0.13/0.73 sQ9_spl|sQ5_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f90,f175,f149])).
% 0.13/0.73 fof(f183,plain,(
% 0.13/0.73 sQ9_spl|sQ6_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f91,f175,f153])).
% 0.13/0.73 fof(f184,definition,(
% 0.13/0.73 sQ10_spl <=> (multiply(sk_c3,sk_c6)=sk_c11)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f185,plain,(
% 0.13/0.73 multiply(sk_c3,sk_c6)=sk_c11|~sQ10_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f184])).
% 0.13/0.73 fof(f187,plain,(
% 0.13/0.73 sQ10_spl|sQ1_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f92,f184,f133])).
% 0.13/0.73 fof(f193,definition,(
% 0.13/0.73 sQ11_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f194,plain,(
% 0.13/0.73 inverse(sk_c3)=sk_c6|~sQ11_spl),
% 0.13/0.73 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.73 fof(f196,plain,(
% 0.13/0.73 sQ11_spl|sQ1_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f98,f193,f133])).
% 0.13/0.73 fof(f238,definition,(
% 0.13/0.73 ![X0]: (sQ16_spl <=> (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11))),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f239,plain,(
% 0.13/0.73 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ16_spl)),
% 0.13/0.73 inference(component_clause,[status(thm)],[f238])).
% 0.13/0.73 fof(f241,definition,(
% 0.13/0.73 ![X1]: (sQ17_spl <=> (~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10))),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f242,plain,(
% 0.13/0.73 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ17_spl)),
% 0.13/0.73 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.73 fof(f244,definition,(
% 0.13/0.73 ![X2,X3,X4,X5]: (sQ18_spl <=> (~multiply(X2,X3)=sk_c11|~inverse(X2)=X3|~multiply(X3,sk_c10)=sk_c11|~inverse(X4)=X5|~inverse(X5)=X3|~multiply(X4,X3)=X5))),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f245,plain,(
% 0.13/0.73 ![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)),
% 0.13/0.73 inference(component_clause,[status(thm)],[f244])).
% 0.13/0.73 fof(f247,definition,(
% 0.13/0.73 ![X6]: (sQ19_spl <=> (~multiply(X6,sk_c10)=sk_c11|~inverse(X6)=sk_c10))),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f248,plain,(
% 0.13/0.73 ![X0]: (~multiply(X0,sk_c10)=sk_c11|~inverse(X0)=sk_c10|~sQ19_spl)),
% 0.13/0.73 inference(component_clause,[status(thm)],[f247])).
% 0.13/0.73 fof(f250,definition,(
% 0.13/0.73 ![X7]: (sQ20_spl <=> (~multiply(X7,sk_c11)=sk_c9|~inverse(X7)=sk_c11))),
% 0.13/0.73 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.73 fof(f251,plain,(
% 0.13/0.73 ![X0]: (~multiply(X0,sk_c11)=sk_c9|~inverse(X0)=sk_c11|~sQ20_spl)),
% 0.13/0.73 inference(component_clause,[status(thm)],[f250])).
% 0.13/0.73 fof(f253,plain,(
% 0.13/0.73 sQ16_spl|sQ17_spl|sQ18_spl|~sQ1_spl|~sQ2_spl|sQ19_spl|sQ20_spl),
% 0.13/0.73 inference(split_clause,[status(thm)],[f129,f238,f241,f244,f133,f137,f247,f250])).
% 0.13/0.73 fof(f264,plain,(
% 0.13/0.73 multiply(sk_c11,sk_c8)=identity|~sQ6_spl),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f154,f66])).
% 0.13/0.73 fof(f265,plain,(
% 0.13/0.73 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f66,f67])).
% 0.13/0.73 fof(f266,plain,(
% 0.13/0.73 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.73 inference(forward_demodulation,[status(thm)],[f65,f265])).
% 0.13/0.73 fof(f269,plain,(
% 0.13/0.73 multiply(sk_c10,sk_c2)=identity|~sQ9_spl),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f176,f66])).
% 0.13/0.73 fof(f272,plain,(
% 0.13/0.73 multiply(sk_c9,sk_c10)=identity|~sQ2_spl),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f138,f66])).
% 0.13/0.73 fof(f280,plain,(
% 0.13/0.73 ~inverse(sk_c8)=sk_c11|~sQ20_spl|~sQ5_spl),
% 0.13/0.73 inference(resolution,[status(thm)],[f251,f150])).
% 0.13/0.73 fof(f281,plain,(
% 0.13/0.73 ~sk_c10=sk_c9|~inverse(sk_c1)=sk_c11|~sQ20_spl|~sQ0_spl),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f131,f251])).
% 0.13/0.73 fof(f282,plain,(
% 0.13/0.73 ~identity=sk_c9|~inverse(inverse(sk_c11))=sk_c11|~sQ20_spl),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f66,f251])).
% 0.13/0.73 fof(f283,plain,(
% 0.13/0.73 ~sk_c11=sk_c9|~inverse(identity)=sk_c11|~sQ20_spl),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f65,f251])).
% 0.13/0.73 fof(f286,plain,(
% 0.13/0.73 ~sk_c11=sk_c11|~sQ6_spl|~sQ20_spl|~sQ5_spl),
% 0.13/0.73 inference(forward_demodulation,[status(thm)],[f154,f280])).
% 0.13/0.73 fof(f287,plain,(
% 0.13/0.73 $false|~sQ6_spl|~sQ20_spl|~sQ5_spl),
% 0.13/0.73 inference(trivial_equality_resolution,[status(thm)],[f286])).
% 0.13/0.73 fof(f288,plain,(
% 0.13/0.73 ~sQ6_spl|~sQ20_spl|~sQ5_spl),
% 0.13/0.73 inference(contradiction_clause,[status(thm)],[f287])).
% 0.13/0.73 fof(f290,plain,(
% 0.13/0.73 ~inverse(sk_c7)=sk_c10|~sQ19_spl|~sQ3_spl),
% 0.13/0.73 inference(resolution,[status(thm)],[f248,f142])).
% 0.13/0.73 fof(f291,plain,(
% 0.13/0.73 ~sk_c9=sk_c11|~inverse(sk_c2)=sk_c10|~sQ19_spl|~sQ8_spl),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f167,f248])).
% 0.13/0.73 fof(f293,plain,(
% 0.13/0.73 ~identity=sk_c11|~inverse(inverse(sk_c10))=sk_c10|~sQ19_spl),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f66,f248])).
% 0.13/0.73 fof(f297,plain,(
% 0.13/0.73 ~sk_c10=sk_c10|~sQ4_spl|~sQ19_spl|~sQ3_spl),
% 0.13/0.73 inference(forward_demodulation,[status(thm)],[f146,f290])).
% 0.13/0.73 fof(f298,plain,(
% 0.13/0.73 $false|~sQ4_spl|~sQ19_spl|~sQ3_spl),
% 0.13/0.73 inference(trivial_equality_resolution,[status(thm)],[f297])).
% 0.13/0.73 fof(f299,plain,(
% 0.13/0.73 ~sQ4_spl|~sQ19_spl|~sQ3_spl),
% 0.13/0.73 inference(contradiction_clause,[status(thm)],[f298])).
% 0.13/0.73 fof(f300,plain,(
% 0.13/0.73 ![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)),
% 0.13/0.73 inference(destructive_equality_resolution,[status(thm)],[f245])).
% 0.13/0.73 fof(f301,plain,(
% 0.13/0.73 ![X0]: (~inverse(identity)=sk_c11|~multiply(inverse(identity),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ18_spl)),
% 0.13/0.73 inference(paramodulation,[status(thm)],[f65,f300])).
% 0.13/0.73 fof(f303,plain,(
% 0.13/0.73 ![X0]: (~multiply(sk_c1,sk_c11)=sk_c11|~multiply(inverse(sk_c1),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,inverse(sk_c1))=inverse(X0)|~sQ18_spl|~sQ7_spl)),
% 0.13/0.74 inference(paramodulation,[status(thm)],[f158,f300])).
% 0.13/0.74 fof(f308,plain,(
% 0.13/0.74 ![X0]: (~multiply(sk_c8,sk_c11)=sk_c11|~multiply(inverse(sk_c8),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c8)|~multiply(X0,inverse(sk_c8))=inverse(X0)|~sQ18_spl|~sQ6_spl)),
% 0.13/0.74 inference(paramodulation,[status(thm)],[f154,f300])).
% 0.13/0.74 fof(f309,definition,(
% 0.13/0.74 sQ21_spl <=> (inverse(identity)=sk_c11)),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f311,plain,(
% 0.13/0.74 ~inverse(identity)=sk_c11|sQ21_spl),
% 0.13/0.74 inference(component_clause,[status(thm)],[f309])).
% 0.13/0.74 fof(f312,definition,(
% 0.13/0.74 sQ22_spl <=> (multiply(inverse(identity),sk_c10)=sk_c11)),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f314,plain,(
% 0.13/0.74 ~multiply(inverse(identity),sk_c10)=sk_c11|sQ22_spl),
% 0.13/0.74 inference(component_clause,[status(thm)],[f312])).
% 0.13/0.74 fof(f315,definition,(
% 0.13/0.74 ![X0]: (sQ23_spl <=> (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)))),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f316,plain,(
% 0.13/0.74 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ23_spl)),
% 0.13/0.74 inference(component_clause,[status(thm)],[f315])).
% 0.13/0.74 fof(f318,plain,(
% 0.13/0.74 ~sQ21_spl|~sQ22_spl|sQ23_spl|~sQ18_spl),
% 0.13/0.74 inference(split_clause,[status(thm)],[f301,f309,f312,f315,f244])).
% 0.13/0.74 fof(f319,definition,(
% 0.13/0.74 sQ24_spl <=> (multiply(sk_c1,sk_c11)=sk_c11)),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f321,plain,(
% 0.13/0.74 ~multiply(sk_c1,sk_c11)=sk_c11|sQ24_spl),
% 0.13/0.74 inference(component_clause,[status(thm)],[f319])).
% 0.13/0.74 fof(f322,definition,(
% 0.13/0.74 sQ25_spl <=> (multiply(inverse(sk_c1),sk_c10)=sk_c11)),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f324,plain,(
% 0.13/0.74 ~multiply(inverse(sk_c1),sk_c10)=sk_c11|sQ25_spl),
% 0.13/0.74 inference(component_clause,[status(thm)],[f322])).
% 0.13/0.74 fof(f325,definition,(
% 0.13/0.74 ![X0]: (sQ26_spl <=> (~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,inverse(sk_c1))=inverse(X0)))),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f326,plain,(
% 0.13/0.74 ![X0]: (~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,inverse(sk_c1))=inverse(X0)|~sQ26_spl)),
% 0.13/0.74 inference(component_clause,[status(thm)],[f325])).
% 0.13/0.74 fof(f328,plain,(
% 0.13/0.74 ~sQ24_spl|~sQ25_spl|sQ26_spl|~sQ18_spl|~sQ7_spl),
% 0.13/0.74 inference(split_clause,[status(thm)],[f303,f319,f322,f325,f244,f157])).
% 0.13/0.74 fof(f332,definition,(
% 0.13/0.74 sQ28_spl <=> (multiply(inverse(sk_c2),sk_c10)=sk_c11)),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f334,plain,(
% 0.13/0.74 ~multiply(inverse(sk_c2),sk_c10)=sk_c11|sQ28_spl),
% 0.13/0.74 inference(component_clause,[status(thm)],[f332])).
% 0.13/0.74 fof(f366,definition,(
% 0.13/0.74 sQ38_spl <=> (multiply(sk_c8,sk_c11)=sk_c11)),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f368,plain,(
% 0.13/0.74 ~multiply(sk_c8,sk_c11)=sk_c11|sQ38_spl),
% 0.13/0.74 inference(component_clause,[status(thm)],[f366])).
% 0.13/0.74 fof(f369,definition,(
% 0.13/0.74 sQ39_spl <=> (multiply(inverse(sk_c8),sk_c10)=sk_c11)),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f371,plain,(
% 0.13/0.74 ~multiply(inverse(sk_c8),sk_c10)=sk_c11|sQ39_spl),
% 0.13/0.74 inference(component_clause,[status(thm)],[f369])).
% 0.13/0.74 fof(f372,definition,(
% 0.13/0.74 ![X0]: (sQ40_spl <=> (~inverse(inverse(X0))=inverse(sk_c8)|~multiply(X0,inverse(sk_c8))=inverse(X0)))),
% 0.13/0.74 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.13/0.74 fof(f373,plain,(
% 0.13/0.74 ![X0]: (~inverse(inverse(X0))=inverse(sk_c8)|~multiply(X0,inverse(sk_c8))=inverse(X0)|~sQ40_spl)),
% 0.13/0.74 inference(component_clause,[status(thm)],[f372])).
% 0.13/0.74 fof(f375,plain,(
% 0.13/0.74 ~sQ38_spl|~sQ39_spl|sQ40_spl|~sQ18_spl|~sQ6_spl),
% 0.13/0.74 inference(split_clause,[status(thm)],[f308,f366,f369,f372,f244,f153])).
% 0.13/0.74 fof(f376,plain,(
% 0.13/0.74 ![X0]: (~inverse(inverse(X0))=sk_c11|~multiply(X0,inverse(sk_c8))=inverse(X0)|~sQ6_spl|~sQ40_spl)),
% 0.13/0.74 inference(forward_demodulation,[status(thm)],[f154,f373])).
% 0.13/0.74 fof(f377,plain,(
% 0.13/0.74 ![X0]: (~inverse(inverse(X0))=sk_c11|~multiply(X0,sk_c11)=inverse(X0)|~sQ6_spl|~sQ40_spl)),
% 0.13/0.74 inference(forward_demodulation,[status(thm)],[f154,f376])).
% 0.13/0.74 fof(f378,plain,(
% 0.13/0.74 ~multiply(sk_c11,sk_c10)=sk_c11|~sQ6_spl|sQ39_spl),
% 0.13/0.74 inference(forward_demodulation,[status(thm)],[f154,f371])).
% 0.13/0.74 fof(f400,plain,(
% 0.13/0.74 ~multiply(sk_c11,sk_c10)=sk_c11|~sQ7_spl|sQ25_spl),
% 0.13/0.74 inference(forward_demodulation,[status(thm)],[f158,f324])).
% 0.13/0.74 fof(f401,plain,(
% 0.13/0.74 ~sk_c10=sk_c11|~sQ0_spl|sQ24_spl),
% 0.13/0.74 inference(forward_demodulation,[status(thm)],[f131,f321])).
% 0.13/0.74 fof(f404,plain,(
% 0.13/0.74 ~inverse(sk_c2)=sk_c10|~sQ17_spl|~sQ8_spl),
% 0.13/0.74 inference(resolution,[status(thm)],[f242,f167])).
% 0.13/0.74 fof(f409,plain,(
% 0.13/0.74 ~sk_c11=sk_c9|~inverse(sk_c7)=sk_c10|~sQ17_spl|~sQ3_spl),
% 0.13/0.74 inference(paramodulation,[status(thm)],[f142,f242])).
% 0.13/0.74 fof(f411,plain,(
% 0.13/0.74 ~sk_c10=sk_c10|~sQ9_spl|~sQ17_spl|~sQ8_spl),
% 0.13/0.74 inference(forward_demodulation,[status(thm)],[f176,f404])).
% 0.13/0.74 fof(f412,plain,(
% 0.13/0.74 $false|~sQ9_spl|~sQ17_spl|~sQ8_spl),
% 0.13/0.74 inference(trivial_equality_resolution,[status(thm)],[f411])).
% 0.13/0.75 fof(f413,plain,(
% 0.13/0.75 ~sQ9_spl|~sQ17_spl|~sQ8_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f412])).
% 0.13/0.75 fof(f414,plain,(
% 0.13/0.75 ~inverse(sk_c1)=sk_c11|~sQ16_spl|~sQ0_spl),
% 0.13/0.75 inference(resolution,[status(thm)],[f239,f131])).
% 0.13/0.75 fof(f419,plain,(
% 0.13/0.75 ~sk_c11=sk_c11|~sQ7_spl|~sQ16_spl|~sQ0_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f158,f414])).
% 0.13/0.75 fof(f420,plain,(
% 0.13/0.75 $false|~sQ7_spl|~sQ16_spl|~sQ0_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f419])).
% 0.13/0.75 fof(f421,plain,(
% 0.13/0.75 ~sQ7_spl|~sQ16_spl|~sQ0_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f420])).
% 0.13/0.75 fof(f422,definition,(
% 0.13/0.75 sQ41_spl <=> (sk_c9=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f423,plain,(
% 0.13/0.75 sk_c9=sk_c11|~sQ41_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f422])).
% 0.13/0.75 fof(f424,plain,(
% 0.13/0.75 ~sk_c9=sk_c11|sQ41_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f422])).
% 0.13/0.75 fof(f425,plain,(
% 0.13/0.75 ~sQ41_spl|~sQ9_spl|~sQ19_spl|~sQ8_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f291,f422,f175,f247,f166])).
% 0.13/0.75 fof(f426,definition,(
% 0.13/0.75 sQ42_spl <=> (sk_c11=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f428,plain,(
% 0.13/0.75 ~sk_c11=sk_c11|sQ42_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f426])).
% 0.13/0.75 fof(f433,definition,(
% 0.13/0.75 sQ44_spl <=> (identity=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f434,plain,(
% 0.13/0.75 identity=sk_c11|~sQ44_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f433])).
% 0.13/0.75 fof(f435,plain,(
% 0.13/0.75 ~identity=sk_c11|sQ44_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f433])).
% 0.13/0.75 fof(f436,definition,(
% 0.13/0.75 sQ45_spl <=> (inverse(inverse(sk_c10))=sk_c10)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f439,plain,(
% 0.13/0.75 ~sQ44_spl|~sQ45_spl|~sQ19_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f293,f433,f436,f247])).
% 0.13/0.75 fof(f443,definition,(
% 0.13/0.75 sQ47_spl <=> (inverse(identity)=sk_c10)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f445,plain,(
% 0.13/0.75 ~inverse(identity)=sk_c10|sQ47_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f443])).
% 0.13/0.75 fof(f448,plain,(
% 0.13/0.75 $false|sQ42_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f428])).
% 0.13/0.75 fof(f449,plain,(
% 0.13/0.75 sQ42_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f448])).
% 0.13/0.75 fof(f473,plain,(
% 0.13/0.75 sk_c11=multiply(inverse(sk_c1),sk_c10)|~sQ0_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f131,f266])).
% 0.13/0.75 fof(f474,plain,(
% 0.13/0.75 sk_c10=multiply(inverse(sk_c2),sk_c9)|~sQ8_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f167,f266])).
% 0.13/0.75 fof(f475,plain,(
% 0.13/0.75 sk_c6=multiply(inverse(sk_c3),sk_c11)|~sQ10_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f185,f266])).
% 0.13/0.75 fof(f483,plain,(
% 0.13/0.75 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f65,f266])).
% 0.13/0.75 fof(f488,plain,(
% 0.13/0.75 sk_c11=multiply(sk_c11,sk_c10)|~sQ7_spl|~sQ0_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f158,f473])).
% 0.13/0.75 fof(f489,plain,(
% 0.13/0.75 sk_c10=multiply(sk_c10,sk_c9)|~sQ9_spl|~sQ8_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f176,f474])).
% 0.13/0.75 fof(f490,plain,(
% 0.13/0.75 sk_c6=multiply(sk_c6,sk_c11)|~sQ11_spl|~sQ10_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f194,f475])).
% 0.13/0.75 fof(f525,plain,(
% 0.13/0.75 ~inverse(sk_c9)=sk_c11|~multiply(sk_c10,sk_c11)=inverse(sk_c10)|~sQ6_spl|~sQ40_spl|~sQ2_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f138,f377])).
% 0.13/0.75 fof(f532,definition,(
% 0.13/0.75 sQ48_spl <=> (inverse(sk_c9)=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f534,plain,(
% 0.13/0.75 ~inverse(sk_c9)=sk_c11|sQ48_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f532])).
% 0.13/0.75 fof(f535,definition,(
% 0.13/0.75 sQ49_spl <=> (multiply(sk_c10,sk_c11)=inverse(sk_c10))),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f537,plain,(
% 0.13/0.75 ~multiply(sk_c10,sk_c11)=inverse(sk_c10)|sQ49_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f535])).
% 0.13/0.75 fof(f538,plain,(
% 0.13/0.75 ~sQ48_spl|~sQ49_spl|~sQ6_spl|~sQ40_spl|~sQ2_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f525,f532,f535,f153,f372,f137])).
% 0.13/0.75 fof(f539,definition,(
% 0.13/0.75 sQ50_spl <=> (inverse(sk_c11)=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f541,plain,(
% 0.13/0.75 ~inverse(sk_c11)=sk_c11|sQ50_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f539])).
% 0.13/0.75 fof(f542,definition,(
% 0.13/0.75 sQ51_spl <=> (multiply(sk_c1,sk_c11)=inverse(sk_c1))),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f544,plain,(
% 0.13/0.75 ~multiply(sk_c1,sk_c11)=inverse(sk_c1)|sQ51_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f542])).
% 0.13/0.75 fof(f546,definition,(
% 0.13/0.75 sQ52_spl <=> (inverse(sk_c10)=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f548,plain,(
% 0.13/0.75 ~inverse(sk_c10)=sk_c11|sQ52_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f546])).
% 0.13/0.75 fof(f579,plain,(
% 0.13/0.75 ~sk_c9=sk_c11|~sQ2_spl|sQ52_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f138,f548])).
% 0.13/0.75 fof(f580,plain,(
% 0.13/0.75 ~sk_c10=inverse(sk_c1)|~sQ0_spl|sQ51_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f131,f544])).
% 0.13/0.75 fof(f582,definition,(
% 0.13/0.75 sQ60_spl <=> (sk_c10=sk_c10)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f584,plain,(
% 0.13/0.75 ~sk_c10=sk_c10|sQ60_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f582])).
% 0.13/0.75 fof(f589,definition,(
% 0.13/0.75 sQ62_spl <=> (inverse(inverse(sk_c11))=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f591,plain,(
% 0.13/0.75 ~inverse(inverse(sk_c11))=sk_c11|sQ62_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f589])).
% 0.13/0.75 fof(f594,plain,(
% 0.13/0.75 $false|sQ60_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f584])).
% 0.13/0.75 fof(f595,plain,(
% 0.13/0.75 sQ60_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f594])).
% 0.13/0.75 fof(f597,plain,(
% 0.13/0.75 sk_c9=multiply(inverse(sk_c10),sk_c11)|~sQ1_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f134,f266])).
% 0.13/0.75 fof(f599,plain,(
% 0.13/0.75 sk_c9=multiply(sk_c9,sk_c11)|~sQ2_spl|~sQ1_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f138,f597])).
% 0.13/0.75 fof(f600,plain,(
% 0.13/0.75 ~sk_c9=sk_c11|~sQ5_spl|sQ38_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f150,f368])).
% 0.13/0.75 fof(f617,plain,(
% 0.13/0.75 ~sk_c10=sk_c11|~sQ7_spl|~sQ0_spl|sQ51_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f158,f580])).
% 0.13/0.75 fof(f737,plain,(
% 0.13/0.75 ~inverse(inverse(inverse(inverse(identity))))=inverse(identity)|~identity=inverse(inverse(inverse(identity)))|~sQ23_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f66,f316])).
% 0.13/0.75 fof(f738,plain,(
% 0.13/0.75 ~inverse(inverse(identity))=inverse(identity)|~inverse(identity)=inverse(identity)|~sQ23_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f65,f316])).
% 0.13/0.75 fof(f740,definition,(
% 0.13/0.75 sQ84_spl <=> (inverse(inverse(inverse(inverse(identity))))=inverse(identity))),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f743,definition,(
% 0.13/0.75 sQ85_spl <=> (identity=inverse(inverse(inverse(identity))))),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f746,plain,(
% 0.13/0.75 ~sQ84_spl|~sQ85_spl|~sQ23_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f737,f740,f743,f315])).
% 0.13/0.75 fof(f747,definition,(
% 0.13/0.75 sQ86_spl <=> (inverse(inverse(identity))=inverse(identity))),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f750,definition,(
% 0.13/0.75 sQ87_spl <=> (inverse(identity)=inverse(identity))),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f752,plain,(
% 0.13/0.75 ~inverse(identity)=inverse(identity)|sQ87_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f750])).
% 0.13/0.75 fof(f753,plain,(
% 0.13/0.75 ~sQ86_spl|~sQ87_spl|~sQ23_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f738,f747,f750,f315])).
% 0.13/0.75 fof(f754,plain,(
% 0.13/0.75 $false|sQ87_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f752])).
% 0.13/0.75 fof(f755,plain,(
% 0.13/0.75 sQ87_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f754])).
% 0.13/0.75 fof(f756,plain,(
% 0.13/0.75 ~identity=sk_c11|~inverse(sk_c9)=sk_c10|~sQ19_spl|~sQ2_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f272,f248])).
% 0.13/0.75 fof(f759,definition,(
% 0.13/0.75 sQ88_spl <=> (inverse(sk_c9)=sk_c10)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f762,plain,(
% 0.13/0.75 ~sQ44_spl|~sQ88_spl|~sQ19_spl|~sQ2_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f756,f433,f759,f247,f137])).
% 0.13/0.75 fof(f783,plain,(
% 0.13/0.75 ![X0]: (~inverse(inverse(X0))=sk_c11|~multiply(X0,inverse(sk_c1))=inverse(X0)|~sQ7_spl|~sQ26_spl)),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f158,f326])).
% 0.13/0.75 fof(f784,plain,(
% 0.13/0.75 ![X0]: (~inverse(inverse(X0))=sk_c11|~multiply(X0,sk_c11)=inverse(X0)|~sQ7_spl|~sQ26_spl)),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f158,f783])).
% 0.13/0.75 fof(f786,plain,(
% 0.13/0.75 ~inverse(sk_c11)=sk_c11|~multiply(sk_c1,sk_c11)=inverse(sk_c1)|~sQ26_spl|~sQ7_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f158,f784])).
% 0.13/0.75 fof(f792,plain,(
% 0.13/0.75 ~sQ50_spl|~sQ51_spl|~sQ26_spl|~sQ7_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f786,f539,f542,f325,f157])).
% 0.13/0.75 fof(f800,plain,(
% 0.13/0.75 ~sk_c9=sk_c10|~inverse(sk_c8)=sk_c11|~sQ16_spl|~sQ5_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f150,f239])).
% 0.13/0.75 fof(f805,definition,(
% 0.13/0.75 sQ89_spl <=> (sk_c9=sk_c10)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f807,plain,(
% 0.13/0.75 ~sk_c9=sk_c10|sQ89_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f805])).
% 0.13/0.75 fof(f808,plain,(
% 0.13/0.75 ~sQ89_spl|~sQ6_spl|~sQ16_spl|~sQ5_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f800,f805,f153,f238,f149])).
% 0.13/0.75 fof(f814,plain,(
% 0.13/0.75 ~sk_c10=sk_c11|sQ22_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f483,f314])).
% 0.13/0.75 fof(f826,plain,(
% 0.13/0.75 ![X0]: (~multiply(sk_c10,sk_c9)=sk_c11|~multiply(inverse(sk_c10),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c10)|~multiply(X0,inverse(sk_c10))=inverse(X0)|~sQ18_spl|~sQ2_spl)),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f138,f300])).
% 0.13/0.75 fof(f827,definition,(
% 0.13/0.75 sQ90_spl <=> (inverse(inverse(identity))=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f829,plain,(
% 0.13/0.75 ~inverse(inverse(identity))=sk_c11|sQ90_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f827])).
% 0.13/0.75 fof(f846,definition,(
% 0.13/0.75 sQ95_spl <=> (multiply(inverse(sk_c10),sk_c10)=sk_c11)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f848,plain,(
% 0.13/0.75 ~multiply(inverse(sk_c10),sk_c10)=sk_c11|sQ95_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f846])).
% 0.13/0.75 fof(f849,definition,(
% 0.13/0.75 ![X0]: (sQ96_spl <=> (~inverse(inverse(X0))=inverse(sk_c10)|~multiply(X0,inverse(sk_c10))=inverse(X0)))),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f852,plain,(
% 0.13/0.75 ~sQ1_spl|~sQ95_spl|sQ96_spl|~sQ18_spl|~sQ2_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f826,f133,f846,f849,f244,f137])).
% 0.13/0.75 fof(f854,plain,(
% 0.13/0.75 ~identity=sk_c11|sQ95_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f66,f848])).
% 0.13/0.75 fof(f904,plain,(
% 0.13/0.75 sk_c11=multiply(inverse(sk_c9),sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f599,f266])).
% 0.13/0.75 fof(f907,plain,(
% 0.13/0.75 sk_c11=identity|~sQ2_spl|~sQ1_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f66,f904])).
% 0.13/0.75 fof(f908,plain,(
% 0.13/0.75 $false|sQ44_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f907,f435])).
% 0.13/0.75 fof(f909,plain,(
% 0.13/0.75 sQ44_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f908])).
% 0.13/0.75 fof(f910,plain,(
% 0.13/0.75 sk_c10=sk_c11|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f134,f489])).
% 0.13/0.75 fof(f911,plain,(
% 0.13/0.75 $false|~sQ0_spl|sQ24_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f910,f401])).
% 0.13/0.75 fof(f912,plain,(
% 0.13/0.75 ~sQ0_spl|sQ24_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f911])).
% 0.13/0.75 fof(f923,plain,(
% 0.13/0.75 ~multiply(sk_c10,sk_c10)=sk_c11|~sQ9_spl|sQ28_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f176,f334])).
% 0.13/0.75 fof(f929,plain,(
% 0.13/0.75 inverse(sk_c2)=sk_c11|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f910,f176])).
% 0.13/0.75 fof(f930,plain,(
% 0.13/0.75 ~inverse(sk_c11)=sk_c9|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f910,f139])).
% 0.13/0.75 fof(f931,plain,(
% 0.13/0.75 ~sk_c9=sk_c11|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ89_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f910,f807])).
% 0.13/0.75 fof(f934,plain,(
% 0.13/0.75 multiply(sk_c11,sk_c9)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f910,f134])).
% 0.13/0.75 fof(f942,plain,(
% 0.13/0.75 ~sk_c11=sk_c11|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ22_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f910,f814])).
% 0.13/0.75 fof(f943,plain,(
% 0.13/0.75 $false|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ22_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f942])).
% 0.13/0.75 fof(f944,plain,(
% 0.13/0.75 ~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ22_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f943])).
% 0.13/0.75 fof(f947,plain,(
% 0.13/0.75 multiply(sk_c11,sk_c2)=identity|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f929,f66])).
% 0.13/0.75 fof(f948,plain,(
% 0.13/0.75 ~sk_c11=sk_c11|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ51_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f910,f617])).
% 0.13/0.75 fof(f949,plain,(
% 0.13/0.75 $false|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ51_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f948])).
% 0.13/0.75 fof(f950,plain,(
% 0.13/0.75 ~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ51_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f949])).
% 0.13/0.75 fof(f961,plain,(
% 0.13/0.75 sk_c9=multiply(inverse(sk_c11),sk_c11)|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f934,f266])).
% 0.13/0.75 fof(f964,plain,(
% 0.13/0.75 sk_c9=identity|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f66,f961])).
% 0.13/0.75 fof(f966,plain,(
% 0.13/0.75 ~inverse(sk_c11)=identity|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f964,f930])).
% 0.13/0.75 fof(f1011,plain,(
% 0.13/0.75 ~multiply(sk_c11,sk_c11)=sk_c11|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ25_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f910,f400])).
% 0.13/0.75 fof(f1038,plain,(
% 0.13/0.75 sk_c11=multiply(sk_c11,sk_c11)|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f910,f488])).
% 0.13/0.75 fof(f1039,plain,(
% 0.13/0.75 $false|sQ25_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1038,f1011])).
% 0.13/0.75 fof(f1040,plain,(
% 0.13/0.75 sQ25_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1039])).
% 0.13/0.75 fof(f1088,plain,(
% 0.13/0.75 $false|sQ95_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f907,f854])).
% 0.13/0.75 fof(f1089,plain,(
% 0.13/0.75 sQ95_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1088])).
% 0.13/0.75 fof(f1104,plain,(
% 0.13/0.75 ~sk_c9=identity|~sQ44_spl|~sQ5_spl|sQ38_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f434,f600])).
% 0.13/0.75 fof(f1106,plain,(
% 0.13/0.75 multiply(sk_c8,identity)=sk_c9|~sQ44_spl|~sQ5_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f434,f150])).
% 0.13/0.75 fof(f1108,plain,(
% 0.13/0.75 ~inverse(inverse(sk_c11))=identity|~sQ44_spl|sQ62_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f434,f591])).
% 0.13/0.75 fof(f1113,plain,(
% 0.13/0.75 ~inverse(sk_c11)=identity|~sQ44_spl|sQ50_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f434,f541])).
% 0.13/0.75 fof(f1116,plain,(
% 0.13/0.75 ~inverse(identity)=identity|~sQ44_spl|sQ21_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f434,f311])).
% 0.13/0.75 fof(f1118,plain,(
% 0.13/0.75 ~inverse(inverse(identity))=identity|~sQ44_spl|sQ62_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f1108])).
% 0.13/0.75 fof(f1119,plain,(
% 0.13/0.75 ~inverse(identity)=identity|~sQ44_spl|sQ50_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f1113])).
% 0.13/0.75 fof(f1123,plain,(
% 0.13/0.75 inverse(sk_c2)=identity|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f929])).
% 0.13/0.75 fof(f1125,plain,(
% 0.13/0.75 multiply(identity,sk_c2)=identity|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f1123,f66])).
% 0.13/0.75 fof(f1127,plain,(
% 0.13/0.75 sk_c2=identity|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1125])).
% 0.13/0.75 fof(f1151,plain,(
% 0.13/0.75 ~inverse(identity)=identity|~sQ44_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f966])).
% 0.13/0.75 fof(f1166,plain,(
% 0.13/0.75 ~identity=sk_c11|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ89_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f964,f931])).
% 0.13/0.75 fof(f1167,plain,(
% 0.13/0.75 ~identity=identity|~sQ44_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ89_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f1166])).
% 0.13/0.75 fof(f1168,plain,(
% 0.13/0.75 $false|~sQ44_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ89_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1167])).
% 0.13/0.75 fof(f1169,plain,(
% 0.13/0.75 ~sQ44_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ89_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1168])).
% 0.13/0.75 fof(f1176,plain,(
% 0.13/0.75 ~identity=sk_c11|~sQ9_spl|~sQ8_spl|~sQ1_spl|sQ41_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f964,f424])).
% 0.13/0.75 fof(f1177,plain,(
% 0.13/0.75 ~identity=identity|~sQ44_spl|~sQ9_spl|~sQ8_spl|~sQ1_spl|sQ41_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f1176])).
% 0.13/0.75 fof(f1178,plain,(
% 0.13/0.75 $false|~sQ44_spl|~sQ9_spl|~sQ8_spl|~sQ1_spl|sQ41_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1177])).
% 0.13/0.75 fof(f1179,plain,(
% 0.13/0.75 ~sQ44_spl|~sQ9_spl|~sQ8_spl|~sQ1_spl|sQ41_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1178])).
% 0.13/0.75 fof(f1188,plain,(
% 0.13/0.75 inverse(identity)=identity|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f1127,f1123])).
% 0.13/0.75 fof(f1189,plain,(
% 0.13/0.75 $false|sQ2_spl|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1188,f1151])).
% 0.13/0.75 fof(f1190,plain,(
% 0.13/0.75 sQ2_spl|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1189])).
% 0.13/0.75 fof(f1261,definition,(
% 0.13/0.75 sQ117_spl <=> (sk_c9=sk_c9)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f1263,plain,(
% 0.13/0.75 ~sk_c9=sk_c9|sQ117_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f1261])).
% 0.13/0.75 fof(f1266,plain,(
% 0.13/0.75 ~sQ41_spl|~sQ2_spl|sQ52_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f579,f422,f137,f546])).
% 0.13/0.75 fof(f1301,plain,(
% 0.13/0.75 $false|sQ117_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1263])).
% 0.13/0.75 fof(f1302,plain,(
% 0.13/0.75 sQ117_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1301])).
% 0.13/0.75 fof(f1308,plain,(
% 0.13/0.75 ~multiply(identity,sk_c10)=sk_c11|~sQ44_spl|~sQ6_spl|sQ39_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f378])).
% 0.13/0.75 fof(f1309,plain,(
% 0.13/0.75 ~sk_c10=sk_c11|~sQ44_spl|~sQ6_spl|sQ39_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1308])).
% 0.13/0.75 fof(f1310,plain,(
% 0.13/0.75 ~sk_c10=identity|~sQ44_spl|~sQ6_spl|sQ39_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f1309])).
% 0.13/0.75 fof(f1326,plain,(
% 0.13/0.75 multiply(sk_c7,sk_c10)=identity|~sQ44_spl|~sQ3_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f142])).
% 0.13/0.75 fof(f1327,plain,(
% 0.13/0.75 ~sk_c9=identity|~sQ44_spl|sQ41_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f424])).
% 0.13/0.75 fof(f1330,plain,(
% 0.13/0.75 ![X0,X1]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ44_spl|~sQ18_spl)),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f300])).
% 0.13/0.75 fof(f1331,plain,(
% 0.13/0.75 ![X0,X1]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c10)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ44_spl|~sQ18_spl)),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f1330])).
% 0.13/0.75 fof(f1335,plain,(
% 0.13/0.75 multiply(identity,sk_c8)=identity|~sQ44_spl|~sQ6_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f264])).
% 0.13/0.75 fof(f1336,plain,(
% 0.13/0.75 sk_c8=identity|~sQ44_spl|~sQ6_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1335])).
% 0.13/0.75 fof(f1343,plain,(
% 0.13/0.75 inverse(sk_c8)=identity|~sQ44_spl|~sQ6_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f154])).
% 0.13/0.75 fof(f1363,plain,(
% 0.13/0.75 multiply(identity,identity)=sk_c9|~sQ6_spl|~sQ44_spl|~sQ5_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1336,f1106])).
% 0.13/0.75 fof(f1364,plain,(
% 0.13/0.75 identity=sk_c9|~sQ6_spl|~sQ44_spl|~sQ5_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1363])).
% 0.13/0.75 fof(f1365,plain,(
% 0.13/0.75 $false|sQ41_spl|~sQ6_spl|~sQ44_spl|~sQ5_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1364,f1327])).
% 0.13/0.75 fof(f1366,plain,(
% 0.13/0.75 sQ41_spl|~sQ6_spl|~sQ44_spl|~sQ5_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1365])).
% 0.13/0.75 fof(f1368,plain,(
% 0.13/0.75 sk_c9=identity|~sQ44_spl|~sQ41_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f423])).
% 0.13/0.75 fof(f1384,definition,(
% 0.13/0.75 sQ118_spl <=> (inverse(inverse(identity))=identity)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f1391,definition,(
% 0.13/0.75 sQ120_spl <=> (inverse(identity)=identity)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f1393,plain,(
% 0.13/0.75 ~inverse(identity)=identity|sQ120_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f1391])).
% 0.13/0.75 fof(f1398,definition,(
% 0.13/0.75 sQ122_spl <=> (multiply(sk_c7,sk_c10)=identity)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f1400,plain,(
% 0.13/0.75 ~multiply(sk_c7,sk_c10)=identity|sQ122_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f1398])).
% 0.13/0.75 fof(f1406,plain,(
% 0.13/0.75 ~identity=identity|~sQ44_spl|~sQ3_spl|sQ122_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1326,f1400])).
% 0.13/0.75 fof(f1407,plain,(
% 0.13/0.75 $false|~sQ44_spl|~sQ3_spl|sQ122_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1406])).
% 0.13/0.75 fof(f1408,plain,(
% 0.13/0.75 ~sQ44_spl|~sQ3_spl|sQ122_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1407])).
% 0.13/0.75 fof(f1426,plain,(
% 0.13/0.75 multiply(identity,sk_c2)=identity|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f947])).
% 0.13/0.75 fof(f1427,plain,(
% 0.13/0.75 sk_c2=identity|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1426])).
% 0.13/0.75 fof(f1527,plain,(
% 0.13/0.75 ~sQ89_spl|~sQ7_spl|~sQ20_spl|~sQ0_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f281,f805,f157,f250,f130])).
% 0.13/0.75 fof(f1528,definition,(
% 0.13/0.75 sQ124_spl <=> (identity=sk_c9)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f1530,plain,(
% 0.13/0.75 ~identity=sk_c9|sQ124_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f1528])).
% 0.13/0.75 fof(f1531,plain,(
% 0.13/0.75 ~sQ124_spl|~sQ62_spl|~sQ20_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f282,f1528,f589,f250])).
% 0.13/0.75 fof(f1532,plain,(
% 0.13/0.75 ~sQ41_spl|~sQ21_spl|~sQ20_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f283,f422,f309,f250])).
% 0.13/0.75 fof(f1579,plain,(
% 0.13/0.75 inverse(identity)=sk_c10|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1427,f176])).
% 0.13/0.75 fof(f1581,plain,(
% 0.13/0.75 identity=sk_c10|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1188,f1579])).
% 0.13/0.75 fof(f1600,plain,(
% 0.13/0.75 ![X0,X1]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ1_spl|~sQ8_spl|~sQ9_spl|~sQ44_spl|~sQ18_spl)),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1581,f1331])).
% 0.13/0.75 fof(f1606,plain,(
% 0.13/0.75 ![X0]: (~multiply(identity,identity)=identity|~multiply(inverse(identity),identity)=identity|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ18_spl|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl)),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f1188,f1600])).
% 0.13/0.75 fof(f1607,definition,(
% 0.13/0.75 sQ125_spl <=> (multiply(inverse(identity),identity)=identity)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f1609,plain,(
% 0.13/0.75 ~multiply(inverse(identity),identity)=identity|sQ125_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f1607])).
% 0.13/0.75 fof(f1632,definition,(
% 0.13/0.75 sQ132_spl <=> (multiply(identity,identity)=identity)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f1634,plain,(
% 0.13/0.75 ~multiply(identity,identity)=identity|sQ132_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f1632])).
% 0.13/0.75 fof(f1635,plain,(
% 0.13/0.75 ~sQ132_spl|~sQ125_spl|sQ23_spl|~sQ18_spl|~sQ44_spl|~sQ1_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1606,f1632,f1607,f315,f244,f433,f133,f166,f175])).
% 0.13/0.75 fof(f1636,plain,(
% 0.13/0.75 ~identity=identity|sQ125_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f66,f1609])).
% 0.13/0.75 fof(f1637,plain,(
% 0.13/0.75 $false|sQ125_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1636])).
% 0.13/0.75 fof(f1638,plain,(
% 0.13/0.75 sQ125_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1637])).
% 0.13/0.75 fof(f1639,plain,(
% 0.13/0.75 ~identity=identity|sQ132_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1634])).
% 0.13/0.75 fof(f1640,plain,(
% 0.13/0.75 $false|sQ132_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1639])).
% 0.13/0.75 fof(f1641,plain,(
% 0.13/0.75 sQ132_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1640])).
% 0.13/0.75 fof(f1652,plain,(
% 0.13/0.75 $false|sQ124_spl|~sQ44_spl|~sQ41_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1368,f1530])).
% 0.13/0.75 fof(f1653,plain,(
% 0.13/0.75 sQ124_spl|~sQ44_spl|~sQ41_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1652])).
% 0.13/0.75 fof(f1657,plain,(
% 0.13/0.75 inverse(sk_c10)=identity|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1364,f138])).
% 0.13/0.75 fof(f1660,plain,(
% 0.13/0.75 multiply(identity,sk_c10)=identity|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f1657,f66])).
% 0.13/0.75 fof(f1664,definition,(
% 0.13/0.75 sQ134_spl <=> (multiply(inverse(sk_c10),sk_c10)=identity)),
% 0.13/0.75 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 0.13/0.75 fof(f1666,plain,(
% 0.13/0.75 ~multiply(inverse(sk_c10),sk_c10)=identity|sQ134_spl),
% 0.13/0.75 inference(component_clause,[status(thm)],[f1664])).
% 0.13/0.75 fof(f1669,plain,(
% 0.13/0.75 sk_c10=identity|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1660])).
% 0.13/0.75 fof(f1670,plain,(
% 0.13/0.75 ~identity=identity|sQ134_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f66,f1666])).
% 0.13/0.75 fof(f1671,plain,(
% 0.13/0.75 $false|sQ134_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1670])).
% 0.13/0.75 fof(f1672,plain,(
% 0.13/0.75 sQ134_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1671])).
% 0.13/0.75 fof(f1679,plain,(
% 0.13/0.75 ~identity=sk_c10|~sQ6_spl|~sQ44_spl|~sQ5_spl|sQ89_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1364,f807])).
% 0.13/0.75 fof(f1690,plain,(
% 0.13/0.75 $false|sQ39_spl|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1669,f1310])).
% 0.13/0.75 fof(f1691,plain,(
% 0.13/0.75 sQ39_spl|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1690])).
% 0.13/0.75 fof(f1699,plain,(
% 0.13/0.75 $false|sQ89_spl|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1669,f1679])).
% 0.13/0.75 fof(f1700,plain,(
% 0.13/0.75 sQ89_spl|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1699])).
% 0.13/0.75 fof(f1705,plain,(
% 0.13/0.75 ~sQ41_spl|~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f409,f422,f145,f241,f141])).
% 0.13/0.75 fof(f1710,plain,(
% 0.13/0.75 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(sk_c8))=inverse(X0)|~sQ44_spl|~sQ6_spl|~sQ40_spl)),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1336,f373])).
% 0.13/0.75 fof(f1711,plain,(
% 0.13/0.75 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ44_spl|~sQ6_spl|~sQ40_spl)),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1336,f1710])).
% 0.13/0.75 fof(f1729,plain,(
% 0.13/0.75 inverse(identity)=identity|~sQ44_spl|~sQ6_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1336,f1343])).
% 0.13/0.75 fof(f1735,plain,(
% 0.13/0.75 ~inverse(identity)=sk_c11|~sQ6_spl|~sQ44_spl|~sQ5_spl|sQ48_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1364,f534])).
% 0.13/0.75 fof(f1736,plain,(
% 0.13/0.75 ~identity=sk_c11|~sQ6_spl|~sQ44_spl|~sQ5_spl|sQ48_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1729,f1735])).
% 0.13/0.75 fof(f1737,plain,(
% 0.13/0.75 ~identity=identity|~sQ6_spl|~sQ44_spl|~sQ5_spl|sQ48_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f1736])).
% 0.13/0.75 fof(f1738,plain,(
% 0.13/0.75 $false|~sQ6_spl|~sQ44_spl|~sQ5_spl|sQ48_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1737])).
% 0.13/0.75 fof(f1739,plain,(
% 0.13/0.75 ~sQ6_spl|~sQ44_spl|~sQ5_spl|sQ48_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1738])).
% 0.13/0.75 fof(f1742,plain,(
% 0.13/0.75 ~sQ124_spl|~sQ44_spl|~sQ5_spl|sQ38_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1104,f1528,f433,f149,f366])).
% 0.13/0.75 fof(f1749,plain,(
% 0.13/0.75 sQ23_spl|~sQ44_spl|~sQ6_spl|~sQ40_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1711,f315,f433,f153,f372])).
% 0.13/0.75 fof(f1751,plain,(
% 0.13/0.75 ~multiply(identity,sk_c11)=inverse(sk_c10)|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl|sQ49_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1669,f537])).
% 0.13/0.75 fof(f1752,plain,(
% 0.13/0.75 ~sk_c11=inverse(sk_c10)|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl|sQ49_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1751])).
% 0.13/0.75 fof(f1753,plain,(
% 0.13/0.75 ~identity=inverse(sk_c10)|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl|sQ49_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f434,f1752])).
% 0.13/0.75 fof(f1754,plain,(
% 0.13/0.75 ~identity=inverse(identity)|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl|sQ49_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1669,f1753])).
% 0.13/0.75 fof(f1755,plain,(
% 0.13/0.75 ~identity=identity|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl|sQ49_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1729,f1754])).
% 0.13/0.75 fof(f1756,plain,(
% 0.13/0.75 $false|~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl|sQ49_spl),
% 0.13/0.75 inference(trivial_equality_resolution,[status(thm)],[f1755])).
% 0.13/0.75 fof(f1757,plain,(
% 0.13/0.75 ~sQ6_spl|~sQ44_spl|~sQ5_spl|~sQ2_spl|sQ49_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1756])).
% 0.13/0.75 fof(f1902,plain,(
% 0.13/0.75 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ7_spl|~sQ0_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f488,f266])).
% 0.13/0.75 fof(f1904,plain,(
% 0.13/0.75 sk_c10=identity|~sQ7_spl|~sQ0_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f66,f1902])).
% 0.13/0.75 fof(f1906,plain,(
% 0.13/0.75 multiply(identity,sk_c2)=identity|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f1904,f269])).
% 0.13/0.75 fof(f1908,plain,(
% 0.13/0.75 ~inverse(identity)=identity|~sQ7_spl|~sQ0_spl|sQ47_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f1904,f445])).
% 0.13/0.75 fof(f1911,plain,(
% 0.13/0.75 multiply(sk_c2,identity)=sk_c9|~sQ7_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f1904,f167])).
% 0.13/0.75 fof(f1912,plain,(
% 0.13/0.75 ~inverse(identity)=sk_c9|~sQ7_spl|~sQ0_spl|sQ2_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f1904,f139])).
% 0.13/0.75 fof(f1914,plain,(
% 0.13/0.75 ~multiply(identity,sk_c9)=sk_c11|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f1904,f135])).
% 0.13/0.75 fof(f1917,plain,(
% 0.13/0.75 inverse(sk_c2)=identity|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f1904,f176])).
% 0.13/0.75 fof(f1919,plain,(
% 0.13/0.75 sk_c2=identity|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1906])).
% 0.13/0.75 fof(f1920,plain,(
% 0.13/0.75 ~sk_c9=sk_c11|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1914])).
% 0.13/0.75 fof(f1925,plain,(
% 0.13/0.75 multiply(identity,identity)=sk_c9|~sQ9_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1919,f1911])).
% 0.13/0.75 fof(f1926,plain,(
% 0.13/0.75 ~identity=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.75 inference(backward_demodulation,[status(thm)],[f1929,f1920])).
% 0.13/0.75 fof(f1929,plain,(
% 0.13/0.75 identity=sk_c9|~sQ9_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f1925])).
% 0.13/0.75 fof(f1930,plain,(
% 0.13/0.75 ~inverse(identity)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ2_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1929,f1912])).
% 0.13/0.75 fof(f1935,plain,(
% 0.13/0.75 inverse(identity)=identity|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1919,f1917])).
% 0.13/0.75 fof(f1936,plain,(
% 0.13/0.75 $false|sQ120_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1935,f1393])).
% 0.13/0.75 fof(f1937,plain,(
% 0.13/0.75 sQ120_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f1936])).
% 0.13/0.75 fof(f1939,plain,(
% 0.13/0.75 ~sQ120_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ2_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1930,f1391,f175,f166,f157,f130,f137])).
% 0.13/0.75 fof(f1940,plain,(
% 0.13/0.75 ~sQ120_spl|~sQ7_spl|~sQ0_spl|sQ47_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1908,f1391,f157,f130,f443])).
% 0.13/0.75 fof(f2032,plain,(
% 0.13/0.75 ~inverse(identity)=sk_c11|~sQ7_spl|~sQ0_spl|~sQ9_spl|sQ90_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1935,f829])).
% 0.13/0.75 fof(f2033,plain,(
% 0.13/0.75 ~identity=sk_c11|~sQ7_spl|~sQ0_spl|~sQ9_spl|sQ90_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1935,f2032])).
% 0.13/0.75 fof(f2081,plain,(
% 0.13/0.75 ~multiply(identity,sk_c10)=sk_c11|~sQ7_spl|~sQ0_spl|~sQ9_spl|sQ28_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1904,f923])).
% 0.13/0.75 fof(f2082,plain,(
% 0.13/0.75 ~sk_c10=sk_c11|~sQ7_spl|~sQ0_spl|~sQ9_spl|sQ28_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f65,f2081])).
% 0.13/0.75 fof(f2083,plain,(
% 0.13/0.75 ~identity=sk_c11|~sQ7_spl|~sQ0_spl|~sQ9_spl|sQ28_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f1904,f2082])).
% 0.13/0.75 fof(f2086,plain,(
% 0.13/0.75 sk_c11=multiply(inverse(sk_c6),sk_c6)|~sQ11_spl|~sQ10_spl),
% 0.13/0.75 inference(paramodulation,[status(thm)],[f490,f266])).
% 0.13/0.75 fof(f2089,plain,(
% 0.13/0.75 sk_c11=identity|~sQ11_spl|~sQ10_spl),
% 0.13/0.75 inference(forward_demodulation,[status(thm)],[f66,f2086])).
% 0.13/0.75 fof(f2090,plain,(
% 0.13/0.75 $false|sQ44_spl|~sQ11_spl|~sQ10_spl),
% 0.13/0.75 inference(forward_subsumption_resolution,[status(thm)],[f2089,f435])).
% 0.13/0.75 fof(f2091,plain,(
% 0.13/0.75 sQ44_spl|~sQ11_spl|~sQ10_spl),
% 0.13/0.75 inference(contradiction_clause,[status(thm)],[f2090])).
% 0.13/0.75 fof(f2093,plain,(
% 0.13/0.75 ~sQ44_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|sQ28_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f2083,f433,f157,f130,f175,f332])).
% 0.13/0.75 fof(f2096,plain,(
% 0.13/0.75 ~sQ44_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|sQ90_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f2033,f433,f157,f130,f175,f827])).
% 0.13/0.75 fof(f2099,plain,(
% 0.13/0.75 ~sQ44_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1926,f433,f175,f166,f157,f130,f133])).
% 0.13/0.75 fof(f2101,plain,(
% 0.13/0.75 ~sQ120_spl|~sQ44_spl|sQ50_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1119,f1391,f433,f539])).
% 0.13/0.75 fof(f2102,plain,(
% 0.13/0.75 ~sQ120_spl|~sQ44_spl|sQ21_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1116,f1391,f433,f309])).
% 0.13/0.75 fof(f2109,plain,(
% 0.13/0.75 ~sQ118_spl|~sQ44_spl|sQ62_spl),
% 0.13/0.75 inference(split_clause,[status(thm)],[f1118,f1384,f433,f589])).
% 0.13/0.75 fof(f2122,plain,(
% 0.13/0.75 $false),
% 0.13/0.75 inference(sat_refutation,[status(thm)],[f136,f140,f144,f148,f152,f156,f160,f161,f162,f163,f164,f165,f169,f170,f171,f172,f173,f174,f178,f179,f180,f181,f182,f183,f187,f196,f253,f288,f299,f318,f328,f375,f413,f421,f425,f439,f449,f538,f595,f746,f753,f755,f762,f792,f808,f852,f909,f912,f944,f950,f1040,f1089,f1169,f1179,f1190,f1266,f1302,f1366,f1408,f1527,f1531,f1532,f1635,f1638,f1641,f1653,f1672,f1691,f1700,f1705,f1739,f1742,f1749,f1757,f1937,f1939,f1940,f2091,f2093,f2096,f2099,f2101,f2102,f2109])).
% 0.13/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.76 % Elapsed time: 0.166909 seconds
% 0.13/0.76 % CPU time: 1.087910 seconds
% 0.13/0.76 % Total memory used: 123.445 MB
% 0.13/0.76 % Net memory used: 122.683 MB
%------------------------------------------------------------------------------