%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP225-1 : 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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP225-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:07:38 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,axiom,(
% 0.14/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,axiom,(
% 0.14/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f5,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f7,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f11,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f12,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f13,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f14,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f18,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f19,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f20,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f21,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f22,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f23,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f24,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f25,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f26,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f27,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f28,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f30,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f31,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f32,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f33,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f34,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f35,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f36,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f37,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f38,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f39,negated_conjecture,(
% 0.14/0.41 (![X4,X5,X6,X1,X2,X7,X3]: (( inverse(X4) != sk_c9| multiply(X4,sk_c8) != sk_c9| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| inverse(X1) != sk_c9| multiply(X1,sk_c8) != sk_c9| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(X7,X3) != sk_c8| inverse(X7) != X3| multiply(X3,sk_c9) != sk_c8 ) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f40,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.41 fof(f41,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f42,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.41 fof(f44,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.41 fof(f45,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.41 fof(f46,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.41 fof(f51,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.41 fof(f53,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.41 fof(f59,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.41 fof(f60,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.41 fof(f62,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.41 fof(f63,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c7,sk_c9)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.41 fof(f66,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.41 fof(f67,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.41 fof(f70,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c7,sk_c9)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.41 fof(f71,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.41 fof(f73,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.41 fof(f77,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 ![X3]: ((![X7]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: (~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~inverse(X1)=sk_c9)|~multiply(X1,sk_c8)=sk_c9))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(X7,X3)=sk_c8)|~inverse(X7)=X3))|~multiply(X3,sk_c9)=sk_c8)),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f39])).
% 0.14/0.41 fof(f79,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~inverse(X3)=sk_c9|~multiply(X3,sk_c8)=sk_c9|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(X5,X6)=sk_c8|~inverse(X5)=X6|~multiply(X6,sk_c9)=sk_c8)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f78])).
% 0.14/0.41 fof(f80,definition,(
% 0.14/0.41 sQ0_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f81,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c9|~sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f80])).
% 0.14/0.41 fof(f83,definition,(
% 0.14/0.41 sQ1_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c9|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 sQ0_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f43,f80,f83])).
% 0.14/0.41 fof(f87,definition,(
% 0.14/0.41 sQ2_spl <=> (multiply(sk_c4,sk_c8)=sk_c9)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f88,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c8)=sk_c9|~sQ2_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f87])).
% 0.14/0.41 fof(f90,plain,(
% 0.14/0.41 sQ0_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f44,f80,f87])).
% 0.14/0.41 fof(f91,definition,(
% 0.14/0.41 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c8)=sk_c9|~sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 sQ0_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f45,f80,f91])).
% 0.14/0.41 fof(f95,definition,(
% 0.14/0.41 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f95])).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 sQ0_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f46,f80,f95])).
% 0.14/0.41 fof(f99,definition,(
% 0.14/0.41 sQ5_spl <=> (multiply(sk_c6,sk_c7)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c7)=sk_c8|~sQ5_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f99])).
% 0.14/0.41 fof(f103,definition,(
% 0.14/0.41 sQ6_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.42 inverse(sk_c6)=sk_c7|~sQ6_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f103])).
% 0.14/0.42 fof(f107,definition,(
% 0.14/0.42 sQ7_spl <=> (multiply(sk_c7,sk_c9)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f111,definition,(
% 0.14/0.42 sQ8_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f112,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c8)=sk_c9|~sQ8_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f111])).
% 0.14/0.42 fof(f114,plain,(
% 0.14/0.42 sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f50,f111,f83])).
% 0.14/0.42 fof(f115,plain,(
% 0.14/0.42 sQ8_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f51,f111,f87])).
% 0.14/0.42 fof(f116,plain,(
% 0.14/0.42 sQ8_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f52,f111,f91])).
% 0.14/0.42 fof(f117,plain,(
% 0.14/0.42 sQ8_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f53,f111,f95])).
% 0.14/0.42 fof(f121,definition,(
% 0.14/0.42 sQ9_spl <=> (multiply(sk_c9,sk_c3)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f122,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c3)=sk_c8|~sQ9_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.42 fof(f124,plain,(
% 0.14/0.42 sQ9_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f57,f121,f83])).
% 0.14/0.42 fof(f125,plain,(
% 0.14/0.42 sQ9_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f58,f121,f87])).
% 0.14/0.42 fof(f126,plain,(
% 0.14/0.42 sQ9_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f59,f121,f91])).
% 0.14/0.42 fof(f127,plain,(
% 0.14/0.42 sQ9_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f60,f121,f95])).
% 0.14/0.42 fof(f128,plain,(
% 0.14/0.42 sQ9_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f61,f121,f99])).
% 0.14/0.42 fof(f129,plain,(
% 0.14/0.42 sQ9_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f62,f121,f103])).
% 0.14/0.42 fof(f130,plain,(
% 0.14/0.42 sQ9_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f63,f121,f107])).
% 0.14/0.42 fof(f131,definition,(
% 0.14/0.42 sQ10_spl <=> (multiply(sk_c2,sk_c9)=sk_c3)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f132,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c3|~sQ10_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f131])).
% 0.14/0.42 fof(f134,plain,(
% 0.14/0.42 sQ10_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f64,f131,f83])).
% 0.14/0.42 fof(f135,plain,(
% 0.14/0.42 sQ10_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f65,f131,f87])).
% 0.14/0.42 fof(f136,plain,(
% 0.14/0.42 sQ10_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f66,f131,f91])).
% 0.14/0.42 fof(f137,plain,(
% 0.14/0.42 sQ10_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f67,f131,f95])).
% 0.14/0.42 fof(f138,plain,(
% 0.14/0.42 sQ10_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f68,f131,f99])).
% 0.14/0.42 fof(f139,plain,(
% 0.14/0.42 sQ10_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f69,f131,f103])).
% 0.14/0.42 fof(f140,plain,(
% 0.14/0.42 sQ10_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f70,f131,f107])).
% 0.14/0.42 fof(f141,definition,(
% 0.14/0.42 sQ11_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f142,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|~sQ11_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f141])).
% 0.14/0.42 fof(f144,plain,(
% 0.14/0.42 sQ11_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f71,f141,f83])).
% 0.14/0.42 fof(f145,plain,(
% 0.14/0.42 sQ11_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f72,f141,f87])).
% 0.14/0.42 fof(f146,plain,(
% 0.14/0.42 sQ11_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f73,f141,f91])).
% 0.14/0.42 fof(f147,plain,(
% 0.14/0.42 sQ11_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f74,f141,f95])).
% 0.14/0.42 fof(f148,plain,(
% 0.14/0.42 sQ11_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f75,f141,f99])).
% 0.14/0.42 fof(f149,plain,(
% 0.14/0.42 sQ11_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f76,f141,f103])).
% 0.14/0.42 fof(f150,plain,(
% 0.14/0.42 sQ11_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f77,f141,f107])).
% 0.14/0.42 fof(f151,definition,(
% 0.14/0.42 ![X0]: (sQ12_spl <=> (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f152,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ12_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f151])).
% 0.14/0.42 fof(f154,definition,(
% 0.14/0.42 ![X1,X2]: (sQ13_spl <=> (~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f155,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ13_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f154])).
% 0.14/0.42 fof(f157,definition,(
% 0.14/0.42 ![X4]: (sQ14_spl <=> (~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f158,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f157])).
% 0.14/0.42 fof(f160,definition,(
% 0.14/0.42 ![X5,X6]: (sQ15_spl <=> (~multiply(X5,X6)=sk_c8|~inverse(X5)=X6|~multiply(X6,sk_c9)=sk_c8))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f161,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c8|~sQ15_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f160])).
% 0.14/0.42 fof(f163,plain,(
% 0.14/0.42 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f79,f151,f154,f157,f160])).
% 0.14/0.42 fof(f164,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c9)=sk_c8|~sQ15_spl)),
% 0.14/0.42 inference(destructive_equality_resolution,[status(thm)],[f161])).
% 0.14/0.42 fof(f185,plain,(
% 0.14/0.42 ~multiply(sk_c4,inverse(sk_c4))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~sQ15_spl|~sQ1_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f84,f164])).
% 0.14/0.42 fof(f187,plain,(
% 0.14/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c8|~multiply(sk_c7,sk_c9)=sk_c8|~sQ15_spl|~sQ6_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f104,f164])).
% 0.14/0.42 fof(f189,plain,(
% 0.14/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~sQ15_spl|~sQ11_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f142,f164])).
% 0.14/0.42 fof(f190,definition,(
% 0.14/0.42 sQ16_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f193,definition,(
% 0.14/0.42 sQ17_spl <=> (multiply(sk_c9,sk_c9)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f194,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c9)=sk_c8|~sQ17_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f193])).
% 0.14/0.42 fof(f195,plain,(
% 0.14/0.42 ~multiply(sk_c9,sk_c9)=sk_c8|sQ17_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f193])).
% 0.14/0.42 fof(f196,plain,(
% 0.14/0.42 ~sQ16_spl|~sQ17_spl|~sQ15_spl|~sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f185,f190,f193,f160,f83])).
% 0.14/0.42 fof(f204,definition,(
% 0.14/0.42 sQ20_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f206,plain,(
% 0.14/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c8|sQ20_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f204])).
% 0.14/0.42 fof(f207,plain,(
% 0.14/0.42 ~sQ20_spl|~sQ7_spl|~sQ15_spl|~sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f187,f204,f107,f160,f103])).
% 0.14/0.42 fof(f212,definition,(
% 0.14/0.42 sQ22_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f214,plain,(
% 0.14/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|sQ22_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.42 fof(f215,plain,(
% 0.14/0.42 ~sQ22_spl|~sQ17_spl|~sQ15_spl|~sQ11_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f189,f212,f193,f160,f141])).
% 0.14/0.42 fof(f216,plain,(
% 0.14/0.42 ~multiply(sk_c2,sk_c9)=sk_c8|~sQ11_spl|sQ22_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f142,f214])).
% 0.14/0.42 fof(f217,plain,(
% 0.14/0.42 ~sk_c3=sk_c8|~sQ10_spl|~sQ11_spl|sQ22_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f132,f216])).
% 0.14/0.42 fof(f223,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f88,f158])).
% 0.14/0.42 fof(f224,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|~inverse(sk_c5)=sk_c8|~sQ14_spl|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f92,f158])).
% 0.14/0.42 fof(f225,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|~inverse(sk_c1)=sk_c8|~sQ14_spl|~sQ8_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f112,f158])).
% 0.14/0.42 fof(f227,definition,(
% 0.14/0.42 sQ23_spl <=> (sk_c9=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f229,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|sQ23_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f227])).
% 0.14/0.42 fof(f230,definition,(
% 0.14/0.42 sQ24_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f232,plain,(
% 0.14/0.42 ~inverse(sk_c4)=sk_c8|sQ24_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f230])).
% 0.14/0.42 fof(f233,plain,(
% 0.14/0.42 ~sQ23_spl|~sQ24_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f223,f227,f230,f157,f87])).
% 0.14/0.42 fof(f234,plain,(
% 0.14/0.42 ~sQ23_spl|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f224,f227,f95,f157,f91])).
% 0.14/0.42 fof(f235,definition,(
% 0.14/0.42 sQ25_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f237,plain,(
% 0.14/0.42 ~inverse(sk_c1)=sk_c8|sQ25_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f235])).
% 0.14/0.42 fof(f238,plain,(
% 0.14/0.42 ~sQ23_spl|~sQ25_spl|~sQ14_spl|~sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f225,f227,f235,f157,f111])).
% 0.14/0.42 fof(f239,plain,(
% 0.14/0.42 $false|sQ23_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f229])).
% 0.14/0.42 fof(f240,plain,(
% 0.14/0.42 sQ23_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f239])).
% 0.14/0.42 fof(f241,plain,(
% 0.14/0.42 ~sk_c9=sk_c8|~sQ0_spl|sQ25_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f81,f237])).
% 0.14/0.42 fof(f242,plain,(
% 0.14/0.42 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ13_spl)),
% 0.14/0.42 inference(destructive_equality_resolution,[status(thm)],[f155])).
% 0.14/0.42 fof(f245,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c2)=identity|~sQ11_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f142,f41])).
% 0.14/0.42 fof(f246,plain,(
% 0.14/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f41,f42])).
% 0.14/0.42 fof(f247,plain,(
% 0.14/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f40,f246])).
% 0.14/0.42 fof(f256,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f40,f247])).
% 0.14/0.42 fof(f260,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c1),sk_c9)|~sQ8_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f112,f247])).
% 0.14/0.42 fof(f264,plain,(
% 0.14/0.42 sk_c9=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f132,f247])).
% 0.14/0.42 fof(f266,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f81,f260])).
% 0.14/0.42 fof(f267,plain,(
% 0.14/0.42 $false|sQ17_spl|~sQ0_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f266,f195])).
% 0.14/0.42 fof(f268,plain,(
% 0.14/0.42 sQ17_spl|~sQ0_spl|~sQ8_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f267])).
% 0.14/0.42 fof(f269,plain,(
% 0.14/0.42 sk_c9=multiply(sk_c9,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f142,f264])).
% 0.14/0.42 fof(f270,plain,(
% 0.14/0.42 sk_c9=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f122,f269])).
% 0.14/0.42 fof(f274,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c3)=sk_c8|~sQ11_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f270,f122])).
% 0.14/0.42 fof(f276,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c8|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f270,f142])).
% 0.14/0.42 fof(f293,definition,(
% 0.14/0.42 sQ29_spl <=> (sk_c8=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f295,plain,(
% 0.14/0.42 ~sk_c8=sk_c8|sQ29_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f293])).
% 0.14/0.42 fof(f338,plain,(
% 0.14/0.42 sk_c3=multiply(inverse(sk_c8),sk_c8)|~sQ11_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f274,f247])).
% 0.14/0.42 fof(f340,plain,(
% 0.14/0.42 sk_c3=identity|~sQ11_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f41,f338])).
% 0.14/0.42 fof(f343,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ11_spl|~sQ10_spl|~sQ9_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f340,f41])).
% 0.14/0.42 fof(f344,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c3,X0)=X0|~sQ11_spl|~sQ10_spl|~sQ9_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f340,f40])).
% 0.14/0.42 fof(f383,plain,(
% 0.14/0.42 ~sk_c8=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ25_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f270,f241])).
% 0.14/0.42 fof(f384,plain,(
% 0.14/0.42 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ25_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f383])).
% 0.14/0.42 fof(f385,plain,(
% 0.14/0.42 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ25_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f384])).
% 0.14/0.42 fof(f386,plain,(
% 0.14/0.42 $false|sQ29_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f295])).
% 0.14/0.42 fof(f387,plain,(
% 0.14/0.42 sQ29_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f386])).
% 0.14/0.42 fof(f388,plain,(
% 0.14/0.42 ~multiply(sk_c6,sk_c7)=sk_c8|~sQ6_spl|sQ20_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f104,f206])).
% 0.14/0.42 fof(f389,plain,(
% 0.14/0.42 ~sk_c8=sk_c8|~sQ5_spl|~sQ6_spl|sQ20_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f100,f388])).
% 0.14/0.42 fof(f390,plain,(
% 0.14/0.42 $false|~sQ5_spl|~sQ6_spl|sQ20_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f389])).
% 0.14/0.42 fof(f391,plain,(
% 0.14/0.42 ~sQ5_spl|~sQ6_spl|sQ20_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f390])).
% 0.14/0.42 fof(f396,plain,(
% 0.14/0.42 ~sk_c9=sk_c8|~sQ1_spl|sQ24_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f84,f232])).
% 0.14/0.42 fof(f419,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c5),sk_c9)|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f92,f247])).
% 0.14/0.42 fof(f421,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c8,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f96,f419])).
% 0.14/0.42 fof(f424,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c4),sk_c9)|~sQ2_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f88,f247])).
% 0.14/0.42 fof(f426,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c9,sk_c9)|~sQ1_spl|~sQ2_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f84,f424])).
% 0.14/0.42 fof(f428,plain,(
% 0.14/0.42 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(identity)=sk_c9|~sQ13_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f40,f242])).
% 0.14/0.42 fof(f438,definition,(
% 0.14/0.42 sQ37_spl <=> (inverse(identity)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f440,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c9|sQ37_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f438])).
% 0.14/0.42 fof(f441,plain,(
% 0.14/0.42 ~sQ17_spl|~sQ37_spl|~sQ13_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f428,f193,f438,f154])).
% 0.14/0.42 fof(f453,plain,(
% 0.14/0.42 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(inverse(identity))=sk_c9|~sQ13_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f256,f242])).
% 0.14/0.42 fof(f456,definition,(
% 0.14/0.42 sQ40_spl <=> (inverse(inverse(identity))=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f458,plain,(
% 0.14/0.42 ~inverse(inverse(identity))=sk_c9|sQ40_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f456])).
% 0.14/0.42 fof(f459,plain,(
% 0.14/0.42 ~sQ17_spl|~sQ40_spl|~sQ13_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f453,f193,f456,f154])).
% 0.14/0.42 fof(f475,plain,(
% 0.14/0.42 sk_c9=multiply(inverse(sk_c8),sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f421,f247])).
% 0.14/0.42 fof(f477,plain,(
% 0.14/0.42 sk_c9=identity|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f41,f475])).
% 0.14/0.42 fof(f483,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f477,f41])).
% 0.14/0.42 fof(f485,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f477,f40])).
% 0.14/0.42 fof(f486,plain,(
% 0.14/0.42 sk_c3=sk_c8|~sQ4_spl|~sQ3_spl|~sQ9_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f485,f122])).
% 0.14/0.42 fof(f503,plain,(
% 0.14/0.42 sk_c3=multiply(sk_c9,sk_c9)|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f486,f426])).
% 0.14/0.42 fof(f505,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c3,X0)=X0|~sQ9_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f511,f485])).
% 0.14/0.42 fof(f509,plain,(
% 0.14/0.42 inverse(sk_c4)=sk_c3|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f511,f84])).
% 0.14/0.42 fof(f511,plain,(
% 0.14/0.42 sk_c3=sk_c9|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f485,f503])).
% 0.14/0.42 fof(f516,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c3,multiply(sk_c4,X0))|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f509,f247])).
% 0.14/0.42 fof(f517,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c4,X0)|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f505,f516])).
% 0.14/0.42 fof(f526,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c8)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ1_spl|~sQ2_spl|~sQ12_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f511,f152])).
% 0.14/0.42 fof(f527,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ1_spl|~sQ2_spl|~sQ12_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f486,f526])).
% 0.14/0.42 fof(f528,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c3|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ1_spl|~sQ2_spl|~sQ12_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f511,f527])).
% 0.14/0.42 fof(f530,plain,(
% 0.14/0.42 ~inverse(sk_c4)=sk_c3|~sQ12_spl|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f528,f517])).
% 0.14/0.42 fof(f536,plain,(
% 0.14/0.42 ~sk_c3=sk_c3|~sQ12_spl|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f509,f530])).
% 0.14/0.42 fof(f537,plain,(
% 0.14/0.42 $false|~sQ12_spl|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f536])).
% 0.14/0.42 fof(f538,plain,(
% 0.14/0.42 ~sQ12_spl|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f537])).
% 0.14/0.42 fof(f549,plain,(
% 0.14/0.42 ~inverse(sk_c3)=sk_c9|~sQ11_spl|~sQ10_spl|~sQ9_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f340,f440])).
% 0.14/0.42 fof(f550,plain,(
% 0.14/0.42 ~inverse(sk_c3)=sk_c8|~sQ11_spl|~sQ10_spl|~sQ9_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f270,f549])).
% 0.14/0.42 fof(f569,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c9)=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ17_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f270,f194])).
% 0.14/0.42 fof(f570,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c8)=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ17_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f270,f569])).
% 0.14/0.42 fof(f571,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c8),sk_c8)|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ17_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f570,f247])).
% 0.14/0.42 fof(f573,plain,(
% 0.14/0.42 sk_c8=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ17_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f343,f571])).
% 0.14/0.42 fof(f574,plain,(
% 0.14/0.42 $false|sQ22_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ17_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f573,f217])).
% 0.14/0.42 fof(f575,plain,(
% 0.14/0.42 sQ22_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ17_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f574])).
% 0.14/0.42 fof(f584,plain,(
% 0.14/0.42 sk_c9=sk_c3|~sQ17_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f573,f270])).
% 0.14/0.42 fof(f587,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c3|~sQ17_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f573,f276])).
% 0.14/0.42 fof(f612,definition,(
% 0.14/0.42 sQ42_spl <=> (sk_c3=sk_c3)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f614,plain,(
% 0.14/0.42 ~sk_c3=sk_c3|sQ42_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f612])).
% 0.14/0.42 fof(f620,plain,(
% 0.14/0.42 $false|sQ42_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f614])).
% 0.14/0.42 fof(f621,plain,(
% 0.14/0.42 sQ42_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f620])).
% 0.14/0.42 fof(f635,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c2)=sk_c3|~sQ17_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f587,f343])).
% 0.14/0.42 fof(f637,plain,(
% 0.14/0.42 sk_c2=sk_c3|~sQ17_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f344,f635])).
% 0.14/0.42 fof(f645,plain,(
% 0.14/0.42 sk_c9=sk_c2|~sQ17_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f637,f584])).
% 0.14/0.42 fof(f646,plain,(
% 0.14/0.42 sk_c8=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ17_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f637,f573])).
% 0.14/0.42 fof(f672,plain,(
% 0.14/0.42 ~inverse(sk_c1)=sk_c9|~sQ8_spl|~sQ12_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f112,f152])).
% 0.14/0.42 fof(f676,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ8_spl|~sQ12_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f672,f80,f111,f151])).
% 0.14/0.42 fof(f679,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f477,f40])).
% 0.14/0.42 fof(f686,definition,(
% 0.14/0.42 sQ46_spl <=> (sk_c8=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f700,plain,(
% 0.14/0.42 ~inverse(sk_c5)=sk_c9|~sQ3_spl|~sQ12_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f92,f152])).
% 0.14/0.42 fof(f704,plain,(
% 0.14/0.42 ~sk_c8=sk_c9|~sQ4_spl|~sQ3_spl|~sQ12_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f96,f700])).
% 0.14/0.42 fof(f712,plain,(
% 0.14/0.42 sk_c7=multiply(inverse(sk_c6),sk_c8)|~sQ5_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f100,f247])).
% 0.14/0.42 fof(f714,plain,(
% 0.14/0.42 sk_c7=multiply(sk_c7,sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f104,f712])).
% 0.14/0.42 fof(f715,plain,(
% 0.14/0.42 sk_c9=sk_c2|~sQ11_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f716,f477])).
% 0.14/0.42 fof(f716,plain,(
% 0.14/0.42 sk_c2=identity|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f679,f245])).
% 0.14/0.42 fof(f723,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c2|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f715,f142])).
% 0.14/0.42 fof(f759,plain,(
% 0.14/0.42 ~inverse(sk_c2)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f716,f440])).
% 0.14/0.42 fof(f760,plain,(
% 0.14/0.42 ~sk_c2=sk_c9|~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f723,f759])).
% 0.14/0.42 fof(f761,plain,(
% 0.14/0.42 ~sk_c2=sk_c2|~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f715,f760])).
% 0.14/0.42 fof(f762,plain,(
% 0.14/0.42 $false|~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ37_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f761])).
% 0.14/0.42 fof(f763,plain,(
% 0.14/0.42 ~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ37_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f762])).
% 0.14/0.42 fof(f805,plain,(
% 0.14/0.42 ~inverse(sk_c2)=sk_c8|~sQ17_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f637,f550])).
% 0.14/0.42 fof(f806,plain,(
% 0.14/0.42 ~inverse(sk_c2)=sk_c2|~sQ17_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f646,f805])).
% 0.14/0.42 fof(f809,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c2|~sQ17_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f645,f142])).
% 0.14/0.42 fof(f810,plain,(
% 0.14/0.42 $false|sQ37_spl|~sQ17_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f809,f806])).
% 0.14/0.42 fof(f811,plain,(
% 0.14/0.42 sQ37_spl|~sQ17_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f810])).
% 0.14/0.42 fof(f813,plain,(
% 0.14/0.42 sQ17_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f426,f193,f83,f87])).
% 0.14/0.42 fof(f814,plain,(
% 0.14/0.42 ~sQ46_spl|~sQ1_spl|sQ24_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f396,f686,f83,f230])).
% 0.14/0.42 fof(f815,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f477,f41])).
% 0.14/0.42 fof(f819,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f477,f40])).
% 0.14/0.42 fof(f829,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c4)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f84,f815])).
% 0.14/0.42 fof(f831,plain,(
% 0.14/0.42 sk_c4=sk_c9|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f819,f829])).
% 0.14/0.42 fof(f833,plain,(
% 0.14/0.42 inverse(sk_c4)=sk_c4|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f831,f84])).
% 0.14/0.42 fof(f836,plain,(
% 0.14/0.42 ~sk_c8=sk_c4|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f831,f704])).
% 0.14/0.42 fof(f837,plain,(
% 0.14/0.42 sk_c4=identity|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f831,f477])).
% 0.14/0.42 fof(f849,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ1_spl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f831,f483])).
% 0.14/0.42 fof(f886,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f714,f247])).
% 0.14/0.42 fof(f888,plain,(
% 0.14/0.42 sk_c8=sk_c4|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f849,f886])).
% 0.14/0.42 fof(f889,plain,(
% 0.14/0.42 $false|~sQ12_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f888,f836])).
% 0.14/0.42 fof(f890,plain,(
% 0.14/0.42 ~sQ12_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f889])).
% 0.14/0.42 fof(f891,plain,(
% 0.14/0.42 ~inverse(inverse(sk_c4))=sk_c9|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ40_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f837,f458])).
% 0.14/0.42 fof(f892,plain,(
% 0.14/0.42 ~inverse(sk_c4)=sk_c9|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ40_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f833,f891])).
% 0.14/0.42 fof(f893,plain,(
% 0.14/0.42 ~sk_c4=sk_c9|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ40_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f833,f892])).
% 0.14/0.42 fof(f894,plain,(
% 0.14/0.42 ~sk_c4=sk_c4|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ40_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f831,f893])).
% 0.14/0.42 fof(f895,plain,(
% 0.14/0.42 $false|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ40_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f894])).
% 0.14/0.42 fof(f896,plain,(
% 0.14/0.42 ~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ40_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f895])).
% 0.14/0.42 fof(f897,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(sat_refutation,[status(thm)],[f86,f90,f94,f98,f114,f115,f116,f117,f124,f125,f126,f127,f128,f129,f130,f134,f135,f136,f137,f138,f139,f140,f144,f145,f146,f147,f148,f149,f150,f163,f196,f207,f215,f233,f234,f238,f240,f268,f385,f387,f391,f441,f459,f538,f575,f621,f676,f763,f811,f813,f814,f890,f896])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.056215 seconds
% 0.14/0.43 % CPU time: 0.199781 seconds
% 0.14/0.43 % Total memory used: 103.923 MB
% 0.14/0.43 % Net memory used: 103.761 MB
%------------------------------------------------------------------------------