%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP332-1 : 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 : n015.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 12:36:27 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP332-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:12:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,axiom,(
% 0.10/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f7,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f8,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f9,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f13,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f14,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f15,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f16,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f17,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f18,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f21,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f22,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f23,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f24,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f25,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f26,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f27,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f29,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f30,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f31,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f32,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f33,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f34,negated_conjecture,(
% 0.10/0.40 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c7) != sk_c8| inverse(X3) != sk_c7| inverse(X4) != sk_c7| multiply(X4,sk_c6) != sk_c7| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f35,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f36,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f39,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f40,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f43,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f44,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f45,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f46,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.40 fof(f47,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.40 fof(f49,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f50,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.40 fof(f51,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.40 fof(f52,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.40 fof(f53,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.40 fof(f54,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.40 fof(f56,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.40 fof(f60,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.40 fof(f62,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.40 fof(f63,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.40 fof(f66,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.40 fof(f68,plain,(
% 0.10/0.40 ![X5]: ((![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c7)=sk_c8)|~inverse(X3)=sk_c7))|~inverse(X4)=sk_c7)|~multiply(X4,sk_c6)=sk_c7))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.10/0.40 fof(f69,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.10/0.40 fof(f70,definition,(
% 0.10/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f71,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.10/0.40 fof(f72,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.10/0.40 fof(f73,definition,(
% 0.10/0.40 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f74,plain,(
% 0.10/0.40 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.40 fof(f75,plain,(
% 0.10/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.40 fof(f76,plain,(
% 0.10/0.40 sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.10/0.40 fof(f77,definition,(
% 0.10/0.40 sQ2_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c8)=sk_c7|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.40 fof(f80,plain,(
% 0.10/0.40 sQ0_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.10/0.40 fof(f81,definition,(
% 0.10/0.40 sQ3_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f82,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c8|~sQ3_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.10/0.40 fof(f84,plain,(
% 0.10/0.40 sQ0_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.10/0.40 fof(f85,definition,(
% 0.10/0.40 sQ4_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f86,plain,(
% 0.10/0.40 multiply(sk_c8,sk_c5)=sk_c7|~sQ4_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.40 fof(f88,plain,(
% 0.10/0.40 sQ0_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.10/0.40 fof(f89,definition,(
% 0.10/0.40 sQ5_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f90,plain,(
% 0.10/0.40 multiply(sk_c4,sk_c8)=sk_c5|~sQ5_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.40 fof(f92,plain,(
% 0.10/0.40 sQ0_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.10/0.40 fof(f93,definition,(
% 0.10/0.40 sQ6_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f94,plain,(
% 0.10/0.40 inverse(sk_c4)=sk_c8|~sQ6_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.40 fof(f96,plain,(
% 0.10/0.40 sQ0_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.10/0.40 fof(f97,definition,(
% 0.10/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f98,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.40 fof(f100,plain,(
% 0.10/0.40 sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.10/0.40 fof(f101,plain,(
% 0.10/0.40 sQ7_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.10/0.40 fof(f102,plain,(
% 0.10/0.40 sQ7_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.10/0.40 fof(f103,plain,(
% 0.10/0.40 sQ7_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.10/0.40 fof(f104,plain,(
% 0.10/0.40 sQ7_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.10/0.40 fof(f105,plain,(
% 0.10/0.40 sQ7_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.10/0.40 fof(f106,definition,(
% 0.10/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f107,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.10/0.40 fof(f109,plain,(
% 0.10/0.40 sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.10/0.40 fof(f110,plain,(
% 0.10/0.40 sQ8_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.10/0.40 fof(f111,plain,(
% 0.10/0.40 sQ8_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.10/0.40 fof(f112,plain,(
% 0.10/0.40 sQ8_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.10/0.40 fof(f113,plain,(
% 0.10/0.40 sQ8_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.10/0.40 fof(f114,plain,(
% 0.10/0.40 sQ8_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.10/0.40 fof(f115,definition,(
% 0.10/0.40 sQ9_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f116,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|~sQ9_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.10/0.40 fof(f118,plain,(
% 0.10/0.40 sQ9_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.10/0.40 fof(f119,plain,(
% 0.10/0.40 sQ9_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.10/0.40 fof(f120,plain,(
% 0.10/0.40 sQ9_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.10/0.40 fof(f121,plain,(
% 0.10/0.40 sQ9_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.10/0.40 fof(f122,plain,(
% 0.10/0.40 sQ9_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.10/0.40 fof(f123,plain,(
% 0.10/0.40 sQ9_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.10/0.40 fof(f124,definition,(
% 0.10/0.40 sQ10_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f125,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c6)=sk_c7|~sQ10_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.10/0.40 fof(f127,plain,(
% 0.10/0.40 sQ10_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.10/0.40 fof(f128,plain,(
% 0.10/0.40 sQ10_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.10/0.40 fof(f129,plain,(
% 0.10/0.40 sQ10_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.10/0.40 fof(f130,plain,(
% 0.10/0.40 sQ10_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.10/0.40 fof(f131,plain,(
% 0.10/0.40 sQ10_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.10/0.40 fof(f132,plain,(
% 0.10/0.40 sQ10_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.10/0.40 fof(f133,definition,(
% 0.10/0.40 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f134,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.10/0.40 fof(f136,definition,(
% 0.10/0.40 ![X1]: (sQ12_spl <=> (~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f137,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.40 fof(f139,definition,(
% 0.10/0.40 ![X2]: (sQ13_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f140,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.10/0.40 fof(f142,definition,(
% 0.10/0.40 ![X3,X4]: (sQ14_spl <=> (~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f143,plain,(
% 0.10/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ14_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.10/0.40 fof(f145,plain,(
% 0.10/0.40 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.10/0.40 fof(f146,plain,(
% 0.10/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f143])).
% 0.10/0.40 fof(f148,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ0_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.10/0.40 fof(f175,plain,(
% 0.10/0.40 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c7)=sk_c8|~sQ14_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f71,f146])).
% 0.10/0.40 fof(f176,plain,(
% 0.10/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f78,f146])).
% 0.10/0.40 fof(f177,plain,(
% 0.10/0.40 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f90,f146])).
% 0.10/0.40 fof(f178,definition,(
% 0.10/0.40 sQ15_spl <=> (multiply(sk_c7,sk_c8)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f179,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c8)=sk_c7|~sQ15_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f178])).
% 0.10/0.40 fof(f180,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c8)=sk_c7|sQ15_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f178])).
% 0.10/0.40 fof(f185,definition,(
% 0.10/0.40 sQ17_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f187,plain,(
% 0.10/0.40 ~multiply(sk_c8,sk_c6)=sk_c7|sQ17_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f185])).
% 0.10/0.40 fof(f188,definition,(
% 0.10/0.40 sQ18_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f190,plain,(
% 0.10/0.40 ~inverse(sk_c7)=sk_c8|sQ18_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f188])).
% 0.10/0.40 fof(f191,plain,(
% 0.10/0.40 ~sQ17_spl|~sQ18_spl|~sQ14_spl|~sQ0_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f175,f185,f188,f142,f70])).
% 0.10/0.40 fof(f192,definition,(
% 0.10/0.40 sQ19_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f194,plain,(
% 0.10/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|sQ19_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f192])).
% 0.10/0.40 fof(f195,plain,(
% 0.10/0.40 ~sQ19_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f176,f192,f81,f142,f77])).
% 0.10/0.40 fof(f196,plain,(
% 0.10/0.40 ~sQ4_spl|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f177,f85,f93,f142,f89])).
% 0.10/0.40 fof(f199,plain,(
% 0.10/0.40 ~sk_c6=sk_c7|~inverse(sk_c7)=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.10/0.40 fof(f201,definition,(
% 0.10/0.40 sQ20_spl <=> (sk_c6=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f203,plain,(
% 0.10/0.40 ~sk_c6=sk_c7|sQ20_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f201])).
% 0.10/0.40 fof(f204,plain,(
% 0.10/0.40 ~sQ20_spl|~sQ18_spl|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f199,f201,f188,f139,f70])).
% 0.10/0.40 fof(f210,plain,(
% 0.10/0.40 multiply(sk_c8,sk_c3)=identity|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.10/0.40 fof(f211,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c1)=identity|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f107,f36])).
% 0.10/0.40 fof(f213,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.10/0.40 fof(f214,plain,(
% 0.10/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f213])).
% 0.10/0.40 fof(f215,plain,(
% 0.10/0.40 ~sk_c6=sk_c7|~sQ1_spl|sQ19_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f74,f194])).
% 0.10/0.40 fof(f219,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c3)=multiply(sk_c7,identity)|~sQ0_spl|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f210,f148])).
% 0.10/0.40 fof(f226,plain,(
% 0.10/0.40 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ10_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f137,f125])).
% 0.10/0.40 fof(f228,plain,(
% 0.10/0.40 ~inverse(identity)=sk_c7|~sk_c6=sk_c7|~sQ12_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f35,f137])).
% 0.10/0.40 fof(f231,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f116,f226])).
% 0.10/0.40 fof(f232,plain,(
% 0.10/0.40 $false|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f231])).
% 0.10/0.40 fof(f233,plain,(
% 0.10/0.40 ~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f232])).
% 0.10/0.40 fof(f234,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f134,f98])).
% 0.10/0.40 fof(f235,plain,(
% 0.10/0.40 ~sk_c6=sk_c8|~inverse(sk_c8)=sk_c7|~sQ11_spl|~sQ1_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f74,f134])).
% 0.10/0.40 fof(f237,plain,(
% 0.10/0.40 ~sk_c7=sk_c8|~inverse(identity)=sk_c7|~sQ11_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f35,f134])).
% 0.10/0.40 fof(f240,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f107,f234])).
% 0.10/0.40 fof(f241,plain,(
% 0.10/0.40 $false|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f240])).
% 0.10/0.40 fof(f242,plain,(
% 0.10/0.40 ~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f241])).
% 0.10/0.40 fof(f243,definition,(
% 0.10/0.40 sQ22_spl <=> (sk_c6=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f245,plain,(
% 0.10/0.40 ~sk_c6=sk_c8|sQ22_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f243])).
% 0.10/0.40 fof(f246,definition,(
% 0.10/0.40 sQ23_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f249,plain,(
% 0.10/0.40 ~sQ22_spl|~sQ23_spl|~sQ11_spl|~sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f235,f243,f246,f133,f73])).
% 0.10/0.40 fof(f257,definition,(
% 0.10/0.40 sQ26_spl <=> (sk_c7=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f259,plain,(
% 0.10/0.40 ~sk_c7=sk_c8|sQ26_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f257])).
% 0.10/0.40 fof(f260,definition,(
% 0.10/0.40 sQ27_spl <=> (inverse(identity)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f262,plain,(
% 0.10/0.40 ~inverse(identity)=sk_c7|sQ27_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f260])).
% 0.10/0.40 fof(f263,plain,(
% 0.10/0.40 ~sQ26_spl|~sQ27_spl|~sQ11_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f237,f257,f260,f133])).
% 0.10/0.40 fof(f264,definition,(
% 0.10/0.40 sQ28_spl <=> (sk_c8=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f266,plain,(
% 0.10/0.40 ~sk_c8=sk_c8|sQ28_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f264])).
% 0.10/0.40 fof(f268,plain,(
% 0.10/0.40 $false|sQ28_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f266])).
% 0.10/0.40 fof(f269,plain,(
% 0.10/0.40 sQ28_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f268])).
% 0.10/0.40 fof(f271,plain,(
% 0.10/0.40 multiply(sk_c8,sk_c4)=identity|~sQ6_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.10/0.40 fof(f273,plain,(
% 0.10/0.40 ~sk_c6=sk_c7|~sQ0_spl|sQ15_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f71,f180])).
% 0.10/0.40 fof(f277,plain,(
% 0.10/0.40 ~inverse(sk_c3)=sk_c8|~sQ13_spl|~sQ2_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f140,f78])).
% 0.10/0.40 fof(f284,plain,(
% 0.10/0.40 ~sk_c8=sk_c8|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f82,f277])).
% 0.10/0.40 fof(f285,plain,(
% 0.10/0.40 $false|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f284])).
% 0.10/0.40 fof(f286,plain,(
% 0.10/0.40 ~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f285])).
% 0.10/0.40 fof(f289,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c4),sk_c5)|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f90,f214])).
% 0.10/0.40 fof(f290,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ2_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f78,f214])).
% 0.10/0.40 fof(f297,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f35,f214])).
% 0.10/0.40 fof(f299,plain,(
% 0.10/0.40 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f98,f214])).
% 0.10/0.40 fof(f302,plain,(
% 0.10/0.40 sk_c8=multiply(sk_c8,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f94,f289])).
% 0.10/0.40 fof(f303,plain,(
% 0.10/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f82,f290])).
% 0.10/0.40 fof(f304,plain,(
% 0.10/0.40 sk_c8=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f74,f303])).
% 0.10/0.40 fof(f305,plain,(
% 0.10/0.40 $false|sQ22_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f304,f245])).
% 0.10/0.40 fof(f306,plain,(
% 0.10/0.40 sQ22_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f305])).
% 0.10/0.40 fof(f308,plain,(
% 0.10/0.40 ~multiply(sk_c7,sk_c6)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f304,f72])).
% 0.10/0.40 fof(f309,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c4)=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f304,f271])).
% 0.10/0.40 fof(f312,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c5)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f304,f86])).
% 0.10/0.40 fof(f313,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c3)=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f304,f210])).
% 0.10/0.40 fof(f315,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f304,f74])).
% 0.10/0.40 fof(f316,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f304,f82])).
% 0.10/0.40 fof(f321,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c8,sk_c5)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f304,f302])).
% 0.10/0.40 fof(f322,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c6,sk_c5)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f304,f321])).
% 0.10/0.40 fof(f323,plain,(
% 0.10/0.40 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f322,f214])).
% 0.10/0.40 fof(f325,plain,(
% 0.10/0.40 sk_c5=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f36,f323])).
% 0.10/0.40 fof(f327,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f325,f35])).
% 0.10/0.40 fof(f335,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c4)=sk_c5|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f325,f309])).
% 0.10/0.40 fof(f343,plain,(
% 0.10/0.40 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f346,f308])).
% 0.10/0.40 fof(f346,plain,(
% 0.10/0.40 sk_c6=sk_c7|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f322,f312])).
% 0.10/0.40 fof(f351,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f346,f315])).
% 0.10/0.40 fof(f361,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c3)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f325,f313])).
% 0.10/0.40 fof(f367,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f351,f343])).
% 0.10/0.40 fof(f368,plain,(
% 0.10/0.40 $false|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f367])).
% 0.10/0.40 fof(f369,plain,(
% 0.10/0.40 ~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f368])).
% 0.10/0.40 fof(f374,plain,(
% 0.10/0.40 ~sk_c6=sk_c8|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ26_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f346,f259])).
% 0.10/0.40 fof(f375,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ26_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f304,f374])).
% 0.10/0.40 fof(f376,plain,(
% 0.10/0.40 $false|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ26_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f375])).
% 0.10/0.40 fof(f377,plain,(
% 0.10/0.40 ~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|sQ26_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f376])).
% 0.10/0.40 fof(f383,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c7,identity)|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f361,f219])).
% 0.10/0.40 fof(f384,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c6,identity)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f346,f383])).
% 0.10/0.40 fof(f385,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c6,sk_c5)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f325,f384])).
% 0.10/0.40 fof(f409,plain,(
% 0.10/0.40 ~sQ27_spl|~sQ20_spl|~sQ12_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f228,f260,f201,f136])).
% 0.10/0.40 fof(f417,plain,(
% 0.10/0.40 ~inverse(sk_c5)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ27_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f325,f262])).
% 0.10/0.40 fof(f418,plain,(
% 0.10/0.40 ~inverse(sk_c5)=sk_c6|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ27_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f346,f417])).
% 0.10/0.40 fof(f422,plain,(
% 0.10/0.40 sk_c6=sk_c5|~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f385,f322])).
% 0.10/0.40 fof(f428,plain,(
% 0.10/0.40 ~inverse(sk_c5)=sk_c5|~sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ27_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f422,f418])).
% 0.10/0.40 fof(f430,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c3)=sk_c5|~sQ4_spl|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f422,f361])).
% 0.10/0.40 fof(f434,plain,(
% 0.10/0.40 sk_c5=sk_c7|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f422,f346])).
% 0.10/0.40 fof(f436,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c4)=sk_c5|~sQ4_spl|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f422,f335])).
% 0.10/0.40 fof(f437,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c5|~sQ4_spl|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f422,f316])).
% 0.10/0.40 fof(f441,plain,(
% 0.10/0.40 sk_c3=sk_c5|~sQ4_spl|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f327,f430])).
% 0.10/0.40 fof(f445,plain,(
% 0.10/0.40 sk_c4=sk_c5|~sQ4_spl|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f327,f436])).
% 0.10/0.40 fof(f446,plain,(
% 0.10/0.40 sk_c4=sk_c7|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f445,f434])).
% 0.10/0.40 fof(f447,plain,(
% 0.10/0.40 sk_c3=sk_c4|~sQ4_spl|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f445,f441])).
% 0.10/0.40 fof(f448,plain,(
% 0.10/0.40 sk_c6=sk_c4|~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f445,f422])).
% 0.10/0.40 fof(f465,plain,(
% 0.10/0.40 ~inverse(sk_c4)=sk_c5|~sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ27_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f445,f428])).
% 0.10/0.40 fof(f466,plain,(
% 0.10/0.40 ~inverse(sk_c4)=sk_c4|~sQ0_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ27_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f445,f465])).
% 0.10/0.40 fof(f468,plain,(
% 0.10/0.40 inverse(sk_c4)=sk_c5|~sQ4_spl|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f447,f437])).
% 0.10/0.40 fof(f469,plain,(
% 0.10/0.40 inverse(sk_c4)=sk_c4|~sQ4_spl|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f445,f468])).
% 0.10/0.40 fof(f470,plain,(
% 0.10/0.40 $false|sQ27_spl|~sQ4_spl|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f469,f466])).
% 0.10/0.40 fof(f471,plain,(
% 0.10/0.40 sQ27_spl|~sQ4_spl|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f470])).
% 0.10/0.40 fof(f472,plain,(
% 0.10/0.40 ~sk_c4=sk_c7|~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ20_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f448,f203])).
% 0.10/0.40 fof(f473,plain,(
% 0.10/0.40 ~sk_c4=sk_c4|~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ20_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f446,f472])).
% 0.10/0.40 fof(f474,plain,(
% 0.10/0.40 $false|~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ20_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f473])).
% 0.10/0.40 fof(f475,plain,(
% 0.10/0.40 ~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|sQ20_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f474])).
% 0.10/0.40 fof(f485,plain,(
% 0.10/0.40 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ10_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f125,f214])).
% 0.10/0.40 fof(f487,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ9_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f116,f485])).
% 0.10/0.40 fof(f490,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f214,f297])).
% 0.10/0.40 fof(f531,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f107,f299])).
% 0.10/0.40 fof(f532,plain,(
% 0.10/0.40 sk_c7=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f71,f531])).
% 0.10/0.40 fof(f533,plain,(
% 0.10/0.40 $false|sQ15_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f532,f273])).
% 0.10/0.40 fof(f534,plain,(
% 0.10/0.40 sQ15_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f533])).
% 0.10/0.40 fof(f535,plain,(
% 0.10/0.40 sk_c6=sk_c7|~sQ0_spl|~sQ15_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f71,f179])).
% 0.10/0.40 fof(f536,plain,(
% 0.10/0.40 $false|~sQ1_spl|sQ19_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f532,f215])).
% 0.10/0.40 fof(f537,plain,(
% 0.10/0.40 ~sQ1_spl|sQ19_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f536])).
% 0.10/0.40 fof(f541,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c7,sk_c6)|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f535,f487])).
% 0.10/0.40 fof(f543,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c1)=identity|~sQ0_spl|~sQ15_spl|~sQ8_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f535,f211])).
% 0.10/0.40 fof(f546,plain,(
% 0.10/0.40 ~multiply(sk_c8,sk_c6)=sk_c6|~sQ0_spl|~sQ15_spl|sQ17_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f535,f187])).
% 0.10/0.40 fof(f550,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c6|~sQ0_spl|~sQ15_spl|~sQ8_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f535,f107])).
% 0.10/0.41 fof(f551,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c8|~sQ0_spl|~sQ15_spl|~sQ7_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f535,f98])).
% 0.10/0.41 fof(f553,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c8|~sQ0_spl|~sQ15_spl|sQ18_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f535,f190])).
% 0.10/0.41 fof(f556,plain,(
% 0.10/0.41 sk_c6=multiply(sk_c6,sk_c6)|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f535,f541])).
% 0.10/0.41 fof(f594,plain,(
% 0.10/0.41 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f556,f214])).
% 0.10/0.41 fof(f596,plain,(
% 0.10/0.41 sk_c6=identity|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f36,f594])).
% 0.10/0.41 fof(f603,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f596,f490])).
% 0.10/0.41 fof(f617,plain,(
% 0.10/0.41 sk_c6=sk_c1|~sQ8_spl|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f618,f596])).
% 0.10/0.41 fof(f618,plain,(
% 0.10/0.41 sk_c1=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f603,f543])).
% 0.10/0.41 fof(f620,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c1,X0)=X0|~sQ8_spl|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f617,f603])).
% 0.10/0.41 fof(f623,plain,(
% 0.10/0.41 ~inverse(sk_c1)=sk_c8|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|sQ18_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f617,f553])).
% 0.10/0.41 fof(f628,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c1|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ8_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f617,f550])).
% 0.10/0.41 fof(f631,plain,(
% 0.10/0.41 sk_c1=sk_c7|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f617,f535])).
% 0.10/0.41 fof(f643,plain,(
% 0.10/0.41 sk_c6=sk_c8|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f620,f551])).
% 0.10/0.41 fof(f646,plain,(
% 0.10/0.41 sk_c1=sk_c8|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f617,f643])).
% 0.10/0.41 fof(f647,plain,(
% 0.10/0.41 ~inverse(sk_c1)=sk_c1|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f646,f623])).
% 0.10/0.41 fof(f650,plain,(
% 0.10/0.41 $false|~sQ7_spl|sQ18_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f628,f647])).
% 0.10/0.41 fof(f651,plain,(
% 0.10/0.41 ~sQ7_spl|sQ18_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ8_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f650])).
% 0.10/0.41 fof(f684,plain,(
% 0.10/0.41 ~sk_c1=sk_c7|~sQ8_spl|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl|sQ20_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f617,f203])).
% 0.10/0.41 fof(f685,plain,(
% 0.10/0.41 ~sk_c1=sk_c1|~sQ8_spl|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl|sQ20_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f631,f684])).
% 0.10/0.41 fof(f686,plain,(
% 0.10/0.41 $false|~sQ8_spl|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl|sQ20_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f685])).
% 0.10/0.41 fof(f687,plain,(
% 0.10/0.41 ~sQ8_spl|~sQ0_spl|~sQ15_spl|~sQ9_spl|~sQ10_spl|sQ20_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f686])).
% 0.10/0.41 fof(f688,plain,(
% 0.10/0.41 ~multiply(sk_c1,sk_c6)=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl|~sQ15_spl|sQ17_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f646,f546])).
% 0.10/0.41 fof(f689,plain,(
% 0.10/0.41 ~sk_c6=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl|~sQ15_spl|sQ17_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f620,f688])).
% 0.10/0.41 fof(f690,plain,(
% 0.10/0.41 ~sk_c1=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl|~sQ15_spl|sQ17_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f617,f689])).
% 0.10/0.41 fof(f691,plain,(
% 0.10/0.41 ~sk_c1=sk_c1|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl|~sQ15_spl|sQ17_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f617,f690])).
% 0.10/0.41 fof(f692,plain,(
% 0.10/0.41 $false|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl|~sQ15_spl|sQ17_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f691])).
% 0.10/0.41 fof(f693,plain,(
% 0.10/0.41 ~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ0_spl|~sQ15_spl|sQ17_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f692])).
% 0.10/0.41 fof(f695,plain,(
% 0.10/0.41 ~multiply(sk_c1,sk_c7)=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f646,f75])).
% 0.10/0.41 fof(f696,plain,(
% 0.10/0.41 ~sk_c7=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f620,f695])).
% 0.10/0.41 fof(f697,plain,(
% 0.10/0.41 ~sk_c1=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f631,f696])).
% 0.10/0.41 fof(f698,plain,(
% 0.10/0.41 ~sk_c1=sk_c1|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f617,f697])).
% 0.10/0.41 fof(f699,plain,(
% 0.10/0.41 $false|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f698])).
% 0.10/0.41 fof(f700,plain,(
% 0.10/0.41 ~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f699])).
% 0.10/0.41 fof(f701,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f191,f195,f196,f204,f233,f242,f249,f263,f269,f286,f306,f369,f377,f409,f471,f475,f534,f537,f651,f687,f693,f700])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.059706 seconds
% 0.10/0.44 % CPU time: 0.207503 seconds
% 0.10/0.44 % Total memory used: 104.232 MB
% 0.10/0.44 % Net memory used: 104.010 MB
%------------------------------------------------------------------------------