%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP331-1 : 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 : n001.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 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP331-1 : 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 : n001.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 20:14:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f11,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f16,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f17,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f18,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f21,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f23,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f25,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f26,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f27,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f28,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f29,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f30,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f31,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f33,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f34,negated_conjecture,(
% 0.13/0.40 (![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(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| inverse(X5) != sk_c6| multiply(X5,sk_c8) != sk_c6 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 ![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(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X2,sk_c7)=sk_c6)|~inverse(X2)=sk_c7))|~inverse(X5)=sk_c6)|~multiply(X5,sk_c8)=sk_c6)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 ![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(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7|~inverse(X4)=sk_c6|~multiply(X4,sk_c8)=sk_c6)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.40 fof(f70,definition,(
% 0.13/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f71,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.40 fof(f73,definition,(
% 0.13/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c8)=sk_c7|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.13/0.40 fof(f77,definition,(
% 0.13/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c8|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.40 fof(f81,definition,(
% 0.13/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 multiply(sk_c4,sk_c7)=sk_c6|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 sQ0_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.40 fof(f85,definition,(
% 0.13/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 sQ0_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.13/0.40 fof(f89,definition,(
% 0.13/0.40 sQ5_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c6|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 sQ0_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.13/0.40 fof(f93,definition,(
% 0.13/0.40 sQ6_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c8)=sk_c6|~sQ6_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sQ0_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.13/0.40 fof(f97,definition,(
% 0.13/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 sQ7_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 sQ7_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.13/0.40 fof(f102,plain,(
% 0.13/0.40 sQ7_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 sQ7_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.13/0.40 fof(f104,plain,(
% 0.13/0.40 sQ7_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 sQ7_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.13/0.40 fof(f106,definition,(
% 0.13/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f107,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.13/0.40 fof(f109,plain,(
% 0.13/0.40 sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 sQ8_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 sQ8_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 sQ8_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 sQ8_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.13/0.40 fof(f115,definition,(
% 0.13/0.40 sQ9_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|~sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 sQ9_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.13/0.40 fof(f119,plain,(
% 0.13/0.40 sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 sQ9_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 sQ9_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 sQ9_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 sQ9_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.13/0.40 fof(f124,definition,(
% 0.13/0.40 sQ10_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|~sQ10_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 sQ10_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 sQ10_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.13/0.40 fof(f129,plain,(
% 0.13/0.40 sQ10_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.13/0.40 fof(f130,plain,(
% 0.13/0.40 sQ10_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 sQ10_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 sQ10_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.13/0.40 fof(f133,definition,(
% 0.13/0.40 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f134,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.40 fof(f136,definition,(
% 0.13/0.40 ![X1]: (sQ12_spl <=> (~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.40 fof(f139,definition,(
% 0.13/0.40 ![X2]: (sQ13_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.40 fof(f142,definition,(
% 0.13/0.40 ![X3]: (sQ14_spl <=> (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ14_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.40 fof(f145,definition,(
% 0.13/0.40 ![X4]: (sQ15_spl <=> (~inverse(X4)=sk_c6|~multiply(X4,sk_c8)=sk_c6))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c8)=sk_c6|~sQ15_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ~sQ0_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f139,f142,f145])).
% 0.13/0.40 fof(f150,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c6|~sQ15_spl|~sQ6_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f146,f94])).
% 0.13/0.40 fof(f151,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c6|~sk_c6=sk_c6|~sQ15_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f71,f146])).
% 0.13/0.40 fof(f154,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f90,f150])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 $false|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f154])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f155])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c7|~sQ14_spl|~sQ3_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f143,f82])).
% 0.13/0.40 fof(f159,plain,(
% 0.13/0.40 ~sk_c8=sk_c6|~inverse(sk_c1)=sk_c7|~sQ14_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f98,f143])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f86,f157])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f160])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f161])).
% 0.13/0.40 fof(f163,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c8|~sQ13_spl|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f140,f74])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|~inverse(sk_c7)=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.13/0.40 fof(f167,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f78,f163])).
% 0.13/0.40 fof(f168,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f167])).
% 0.13/0.40 fof(f169,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f168])).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~sQ10_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f125,f37])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f137,f125])).
% 0.13/0.40 fof(f182,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f116,f179])).
% 0.13/0.40 fof(f183,plain,(
% 0.13/0.40 $false|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f182])).
% 0.13/0.40 fof(f184,plain,(
% 0.13/0.40 ~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f183])).
% 0.13/0.40 fof(f189,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c1)=identity|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f107,f36])).
% 0.13/0.40 fof(f190,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.40 fof(f191,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f190])).
% 0.13/0.40 fof(f198,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~sQ8_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f189,f37])).
% 0.13/0.40 fof(f199,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f198])).
% 0.13/0.40 fof(f210,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f35,f191])).
% 0.13/0.40 fof(f212,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f74,f191])).
% 0.13/0.40 fof(f213,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c4),sk_c6)|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f82,f191])).
% 0.13/0.40 fof(f214,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ6_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f94,f191])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f98,f191])).
% 0.13/0.40 fof(f218,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f78,f212])).
% 0.13/0.40 fof(f219,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f86,f213])).
% 0.13/0.40 fof(f220,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c6,sk_c6)|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f90,f214])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f107,f215])).
% 0.13/0.40 fof(f227,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f210,f191])).
% 0.13/0.40 fof(f229,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f218,f191])).
% 0.13/0.40 fof(f231,plain,(
% 0.13/0.40 sk_c7=identity|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f229])).
% 0.13/0.40 fof(f237,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f231,f36])).
% 0.13/0.40 fof(f238,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f231,f35])).
% 0.13/0.40 fof(f241,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f134,f98])).
% 0.13/0.40 fof(f246,plain,(
% 0.13/0.40 ~sk_c6=sk_c8|~inverse(sk_c4)=sk_c7|~sQ11_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f82,f134])).
% 0.13/0.40 fof(f248,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f107,f241])).
% 0.13/0.40 fof(f249,plain,(
% 0.13/0.40 $false|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f248])).
% 0.13/0.40 fof(f250,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f249])).
% 0.13/0.40 fof(f258,definition,(
% 0.13/0.40 sQ18_spl <=> (sk_c8=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f260,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|sQ18_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f258])).
% 0.13/0.40 fof(f265,definition,(
% 0.13/0.40 sQ20_spl <=> (sk_c6=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f266,plain,(
% 0.13/0.40 sk_c6=sk_c8|~sQ20_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f265])).
% 0.13/0.40 fof(f268,plain,(
% 0.13/0.40 ~sQ20_spl|~sQ4_spl|~sQ11_spl|~sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f246,f265,f85,f133,f81])).
% 0.13/0.40 fof(f270,plain,(
% 0.13/0.40 sk_c8=sk_c6|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f238,f71])).
% 0.13/0.40 fof(f272,plain,(
% 0.13/0.40 ~sk_c8=sk_c6|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f238,f72])).
% 0.13/0.40 fof(f274,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c4)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f86,f237])).
% 0.13/0.40 fof(f278,plain,(
% 0.13/0.40 sk_c4=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f238,f274])).
% 0.13/0.40 fof(f280,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f278,f237])).
% 0.13/0.40 fof(f281,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c4,X0)=X0|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f278,f238])).
% 0.13/0.40 fof(f299,plain,(
% 0.13/0.40 sk_c4=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f278,f219])).
% 0.13/0.40 fof(f300,plain,(
% 0.13/0.40 sk_c4=multiply(sk_c4,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f278,f299])).
% 0.13/0.40 fof(f301,plain,(
% 0.13/0.40 ~sk_c8=sk_c4|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f304,f272])).
% 0.13/0.40 fof(f302,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f304,f90])).
% 0.13/0.40 fof(f304,plain,(
% 0.13/0.40 sk_c4=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f281,f300])).
% 0.13/0.40 fof(f305,plain,(
% 0.13/0.40 multiply(sk_c4,sk_c5)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f302,f280])).
% 0.13/0.40 fof(f306,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c4,multiply(sk_c5,X0))|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f302,f191])).
% 0.13/0.40 fof(f307,plain,(
% 0.13/0.40 sk_c5=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f281,f305])).
% 0.13/0.40 fof(f308,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c5,X0)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f281,f306])).
% 0.13/0.40 fof(f309,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f307,f302])).
% 0.13/0.40 fof(f310,plain,(
% 0.13/0.40 ~sk_c8=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f307,f301])).
% 0.13/0.40 fof(f311,plain,(
% 0.13/0.40 sk_c5=sk_c6|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f307,f304])).
% 0.13/0.40 fof(f312,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f307,f280])).
% 0.13/0.40 fof(f317,plain,(
% 0.13/0.40 sk_c5=sk_c7|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f307,f278])).
% 0.13/0.40 fof(f331,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c5,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f311,f220])).
% 0.13/0.40 fof(f332,plain,(
% 0.13/0.40 sk_c8=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f308,f331])).
% 0.13/0.40 fof(f333,plain,(
% 0.13/0.40 sk_c8=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f311,f332])).
% 0.13/0.40 fof(f334,plain,(
% 0.13/0.40 $false|sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f333,f310])).
% 0.13/0.40 fof(f335,plain,(
% 0.13/0.40 sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f334])).
% 0.13/0.40 fof(f336,plain,(
% 0.13/0.40 $false|sQ18_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f260])).
% 0.13/0.40 fof(f337,plain,(
% 0.13/0.40 sQ18_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f336])).
% 0.13/0.40 fof(f353,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ12_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f317,f137])).
% 0.13/0.40 fof(f354,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ12_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f311,f353])).
% 0.13/0.40 fof(f355,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c5|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ12_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f317,f354])).
% 0.13/0.40 fof(f359,definition,(
% 0.13/0.40 sQ21_spl <=> (sk_c7=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f361,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|sQ21_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f359])).
% 0.13/0.40 fof(f403,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c5))=sk_c5|~sQ12_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f355,f312])).
% 0.13/0.40 fof(f410,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c5|~sQ12_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f309,f403])).
% 0.13/0.40 fof(f411,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ12_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f309,f410])).
% 0.13/0.40 fof(f412,plain,(
% 0.13/0.40 $false|~sQ12_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f411])).
% 0.13/0.40 fof(f413,plain,(
% 0.13/0.40 ~sQ12_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f412])).
% 0.13/0.40 fof(f414,definition,(
% 0.13/0.40 sQ22_spl <=> (sk_c6=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f416,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|sQ22_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f414])).
% 0.13/0.40 fof(f417,definition,(
% 0.13/0.40 sQ23_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f420,plain,(
% 0.13/0.40 ~sQ22_spl|~sQ23_spl|~sQ13_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f164,f414,f417,f139,f70])).
% 0.13/0.40 fof(f425,plain,(
% 0.13/0.40 ~sQ20_spl|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f159,f265,f106,f142,f97])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f98,f191])).
% 0.13/0.40 fof(f430,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f107,f428])).
% 0.13/0.40 fof(f434,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f35,f191])).
% 0.13/0.40 fof(f440,plain,(
% 0.13/0.40 sk_c7=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f71,f221])).
% 0.13/0.40 fof(f443,plain,(
% 0.13/0.40 $false|sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f440,f416])).
% 0.13/0.40 fof(f444,plain,(
% 0.13/0.40 sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f443])).
% 0.13/0.40 fof(f447,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f440,f125])).
% 0.13/0.40 fof(f452,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f440,f116])).
% 0.13/0.40 fof(f462,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c1)=identity|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f189])).
% 0.13/0.40 fof(f467,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c2)=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f452,f36])).
% 0.13/0.40 fof(f478,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c7,sk_c8)|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f430])).
% 0.13/0.40 fof(f479,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c6,sk_c8)|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f478])).
% 0.13/0.40 fof(f480,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c6),sk_c6)|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f479,f191])).
% 0.13/0.40 fof(f482,plain,(
% 0.13/0.40 sk_c8=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f480])).
% 0.13/0.40 fof(f484,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f482,f36])).
% 0.13/0.40 fof(f485,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c1)=sk_c8|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f482,f462])).
% 0.13/0.40 fof(f487,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f482,f35])).
% 0.13/0.40 fof(f494,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f143])).
% 0.13/0.40 fof(f495,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f494])).
% 0.13/0.40 fof(f498,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~inverse(sk_c8)=sk_c6|~sQ14_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f487,f495])).
% 0.13/0.40 fof(f501,definition,(
% 0.13/0.40 sQ25_spl <=> (sk_c6=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f503,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|sQ25_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f501])).
% 0.13/0.40 fof(f504,definition,(
% 0.13/0.40 sQ26_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f507,plain,(
% 0.13/0.40 ~sQ25_spl|~sQ26_spl|~sQ14_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f498,f501,f504,f142,f70,f106,f97])).
% 0.13/0.40 fof(f512,plain,(
% 0.13/0.40 $false|sQ25_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f503])).
% 0.13/0.40 fof(f513,plain,(
% 0.13/0.40 sQ25_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f512])).
% 0.13/0.40 fof(f527,plain,(
% 0.13/0.40 sQ20_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f270,f265,f77,f73,f70])).
% 0.13/0.40 fof(f537,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f482,f434])).
% 0.13/0.40 fof(f541,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~inverse(inverse(sk_c8))=sk_c6|~sQ14_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f537,f495])).
% 0.13/0.40 fof(f544,definition,(
% 0.13/0.40 sQ28_spl <=> (inverse(inverse(sk_c8))=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f547,plain,(
% 0.13/0.40 ~sQ25_spl|~sQ28_spl|~sQ14_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f541,f501,f544,f142,f70,f106,f97])).
% 0.13/0.40 fof(f548,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c6|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f447,f495])).
% 0.13/0.40 fof(f552,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f452,f548])).
% 0.13/0.40 fof(f553,plain,(
% 0.13/0.40 $false|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f552])).
% 0.13/0.40 fof(f554,plain,(
% 0.13/0.40 ~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f553])).
% 0.13/0.40 fof(f556,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f140])).
% 0.13/0.40 fof(f558,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ21_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f361])).
% 0.13/0.40 fof(f559,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ21_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f558])).
% 0.13/0.40 fof(f560,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ21_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f559])).
% 0.13/0.40 fof(f561,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ21_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f560])).
% 0.13/0.40 fof(f566,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c2)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f482,f467])).
% 0.13/0.40 fof(f597,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(inverse(sk_c8)),X0)|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f482,f227])).
% 0.13/0.40 fof(f600,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f484,f597])).
% 0.13/0.40 fof(f618,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c6,multiply(sk_c1,X0))|~sQ0_spl|~sQ7_spl|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f199])).
% 0.13/0.40 fof(f636,plain,(
% 0.13/0.40 ~sk_c8=sk_c6|~inverse(sk_c8)=sk_c8|~sQ13_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f487,f556])).
% 0.13/0.40 fof(f637,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~inverse(sk_c6)=sk_c8|~sQ13_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f479,f556])).
% 0.13/0.40 fof(f643,definition,(
% 0.13/0.40 sQ29_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f645,plain,(
% 0.13/0.40 ~inverse(sk_c8)=sk_c8|sQ29_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f643])).
% 0.13/0.40 fof(f646,plain,(
% 0.13/0.40 ~sQ20_spl|~sQ29_spl|~sQ13_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f636,f265,f643,f139,f70,f106,f97])).
% 0.13/0.40 fof(f647,definition,(
% 0.13/0.40 sQ30_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f650,plain,(
% 0.13/0.40 ~sQ25_spl|~sQ30_spl|~sQ13_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f637,f501,f647,f139,f70,f106,f97])).
% 0.13/0.40 fof(f671,definition,(
% 0.13/0.40 sQ34_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f673,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c6|sQ34_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f671])).
% 0.13/0.40 fof(f674,plain,(
% 0.13/0.40 ~sQ34_spl|~sQ25_spl|~sQ15_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f151,f671,f501,f145,f70])).
% 0.13/0.40 fof(f693,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f176])).
% 0.13/0.40 fof(f694,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,multiply(sk_c1,X0))=multiply(sk_c2,X0)|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f618,f693])).
% 0.13/0.40 fof(f701,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c2,X0)|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f618,f694])).
% 0.13/0.40 fof(f712,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(sk_c2),X0)|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f701,f191])).
% 0.13/0.40 fof(f718,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c6,X0)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f452,f712])).
% 0.13/0.40 fof(f720,plain,(
% 0.13/0.40 sk_c1=sk_c8|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f718,f485])).
% 0.13/0.40 fof(f721,plain,(
% 0.13/0.40 sk_c2=sk_c8|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f718,f566])).
% 0.13/0.40 fof(f723,plain,(
% 0.13/0.40 sk_c6=sk_c8|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f718,f479])).
% 0.13/0.40 fof(f727,plain,(
% 0.13/0.40 sQ20_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f723,f265,f115,f124,f70,f106,f97])).
% 0.13/0.40 fof(f729,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ29_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f600,f645])).
% 0.13/0.40 fof(f730,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ29_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f729])).
% 0.13/0.40 fof(f731,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ29_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f730])).
% 0.13/0.40 fof(f732,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ34_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f440,f673])).
% 0.13/0.40 fof(f735,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c1|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f720,f600])).
% 0.13/0.40 fof(f741,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c1|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f720,f735])).
% 0.13/0.40 fof(f742,plain,(
% 0.13/0.40 sk_c1=sk_c2|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f721,f720])).
% 0.13/0.40 fof(f747,plain,(
% 0.13/0.40 sk_c6=sk_c2|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ20_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f721,f266])).
% 0.13/0.40 fof(f764,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ20_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ34_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f747,f732])).
% 0.13/0.40 fof(f765,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ20_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ34_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f747,f764])).
% 0.13/0.40 fof(f768,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c1|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f742,f741])).
% 0.13/0.40 fof(f769,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f742,f768])).
% 0.13/0.40 fof(f770,plain,(
% 0.13/0.40 $false|~sQ20_spl|sQ34_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f769,f765])).
% 0.13/0.40 fof(f771,plain,(
% 0.13/0.40 ~sQ20_spl|sQ34_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f770])).
% 0.13/0.40 fof(f772,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 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,f148,f156,f162,f169,f184,f250,f268,f335,f337,f413,f420,f425,f444,f507,f513,f527,f547,f554,f561,f646,f650,f674,f727,f731,f771])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.049174 seconds
% 0.13/0.42 % CPU time: 0.148278 seconds
% 0.13/0.42 % Total memory used: 68.250 MB
% 0.13/0.42 % Net memory used: 68.146 MB
%------------------------------------------------------------------------------