%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP281-1 : 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 : n004.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 12:36:22 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP281-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:08:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f30,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f31,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f32,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f33,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,negated_conjecture,(
% 0.13/0.39 (![X3,X4,X5,X1,X2]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(sk_c8,X4) != sk_c7| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8| multiply(sk_c7,sk_c8) != sk_c6| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(X2,sk_c6) != sk_c7 ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![X2]: (((![X1]: ((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(sk_c8,X4)=sk_c7)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8))|~multiply(sk_c7,sk_c8)=sk_c6)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~inverse(X2)=sk_c7)|~multiply(X2,sk_c6)=sk_c7)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.39 fof(f70,definition,(
% 0.13/0.39 sQ0_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c7)=sk_c6|~sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c7)=sk_c6|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.39 fof(f73,definition,(
% 0.13/0.39 sQ1_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c8)=sk_c6|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c8)=sk_c6|sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.13/0.39 fof(f77,definition,(
% 0.13/0.39 sQ2_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c8|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.39 fof(f81,definition,(
% 0.13/0.39 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 sQ0_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.39 fof(f85,definition,(
% 0.13/0.39 sQ4_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c7|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f89,definition,(
% 0.13/0.39 sQ5_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c6)=sk_c7|~sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.39 fof(f93,definition,(
% 0.13/0.39 sQ6_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c7|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 sQ6_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 sQ6_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 sQ6_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.13/0.39 fof(f99,plain,(
% 0.13/0.39 sQ6_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 sQ6_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.13/0.39 fof(f101,definition,(
% 0.13/0.39 sQ7_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f102,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 sQ7_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.13/0.39 fof(f105,plain,(
% 0.13/0.39 sQ7_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 sQ7_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 sQ7_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.13/0.39 fof(f108,plain,(
% 0.13/0.39 sQ7_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.13/0.39 fof(f109,definition,(
% 0.13/0.39 sQ8_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f110,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|~sQ8_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 sQ8_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 sQ8_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.13/0.39 fof(f114,plain,(
% 0.13/0.39 sQ8_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.13/0.39 fof(f115,plain,(
% 0.13/0.39 sQ8_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 sQ8_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.13/0.39 fof(f117,definition,(
% 0.13/0.39 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f118,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c8)=sk_c3|~sQ9_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.39 fof(f120,plain,(
% 0.13/0.39 sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.13/0.39 fof(f121,plain,(
% 0.13/0.39 sQ9_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 sQ9_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 sQ9_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 sQ9_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.13/0.39 fof(f125,definition,(
% 0.13/0.39 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f126,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 sQ10_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 sQ10_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 sQ10_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.13/0.39 fof(f131,plain,(
% 0.13/0.39 sQ10_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 sQ10_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.13/0.39 fof(f133,definition,(
% 0.13/0.39 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.39 fof(f136,definition,(
% 0.13/0.39 ![X1,X2]: (sQ12_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ12_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.39 fof(f139,definition,(
% 0.13/0.39 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ13_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.39 fof(f142,definition,(
% 0.13/0.39 ![X4]: (sQ14_spl <=> (~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ14_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.39 fof(f145,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 ~inverse(sk_c5)=sk_c7|~sQ14_spl|~sQ5_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f143,f90])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 $false|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f149])).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 ~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f140,f82])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c8|~sk_c6=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f78,f151])).
% 0.13/0.39 fof(f155,plain,(
% 0.13/0.39 $false|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f154])).
% 0.13/0.39 fof(f156,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f155])).
% 0.13/0.39 fof(f157,plain,(
% 0.13/0.39 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.13/0.39 fof(f158,plain,(
% 0.13/0.39 ~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ6_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f134,f94])).
% 0.13/0.39 fof(f161,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f102,f158])).
% 0.13/0.39 fof(f162,plain,(
% 0.13/0.39 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f161])).
% 0.13/0.39 fof(f163,plain,(
% 0.13/0.39 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f162])).
% 0.13/0.39 fof(f169,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ3_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.13/0.39 fof(f174,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ6_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f94,f157])).
% 0.13/0.39 fof(f175,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f118,f157])).
% 0.13/0.39 fof(f176,definition,(
% 0.13/0.39 sQ15_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f179,plain,(
% 0.13/0.39 ~sQ15_spl|~sQ7_spl|~sQ12_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f174,f176,f101,f136,f93])).
% 0.13/0.39 fof(f180,plain,(
% 0.13/0.39 ~sQ8_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f175,f109,f125,f136,f117])).
% 0.13/0.39 fof(f182,definition,(
% 0.13/0.39 sQ16_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f184,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c8|sQ16_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f182])).
% 0.13/0.39 fof(f185,definition,(
% 0.13/0.39 sQ17_spl <=> (sk_c6=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f187,plain,(
% 0.13/0.39 ~sk_c6=sk_c8|sQ17_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f185])).
% 0.13/0.39 fof(f188,plain,(
% 0.13/0.39 ~sQ16_spl|~sQ17_spl|~sQ13_spl|~sQ0_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f152,f182,f185,f139,f70])).
% 0.13/0.39 fof(f195,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.13/0.39 fof(f196,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.39 fof(f197,plain,(
% 0.13/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f35,f196])).
% 0.13/0.39 fof(f198,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ1_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.13/0.39 fof(f208,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f197])).
% 0.13/0.39 fof(f210,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ6_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f94,f197])).
% 0.13/0.39 fof(f215,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ9_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f118,f197])).
% 0.13/0.39 fof(f219,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c8,sk_c7)|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f102,f210])).
% 0.13/0.39 fof(f220,plain,(
% 0.13/0.39 sk_c8=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f71,f219])).
% 0.13/0.39 fof(f221,plain,(
% 0.13/0.39 $false|sQ17_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f220,f187])).
% 0.13/0.39 fof(f222,plain,(
% 0.13/0.39 sQ17_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f221])).
% 0.13/0.39 fof(f223,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c8,sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f126,f215])).
% 0.13/0.39 fof(f224,plain,(
% 0.13/0.39 sk_c8=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f110,f223])).
% 0.13/0.39 fof(f226,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c2)=identity|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f224,f195])).
% 0.13/0.39 fof(f229,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f224,f184])).
% 0.13/0.39 fof(f231,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c7)=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f224,f71])).
% 0.13/0.39 fof(f233,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c3)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f224,f110])).
% 0.13/0.39 fof(f237,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f224,f126])).
% 0.13/0.39 fof(f238,plain,(
% 0.13/0.39 ~inverse(sk_c7)=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f224,f229])).
% 0.13/0.39 fof(f239,plain,(
% 0.13/0.39 sk_c6=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f220,f224])).
% 0.13/0.39 fof(f245,plain,(
% 0.13/0.39 ~inverse(sk_c6)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f239,f238])).
% 0.13/0.39 fof(f246,plain,(
% 0.13/0.39 ~inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f239,f245])).
% 0.13/0.39 fof(f265,definition,(
% 0.13/0.39 sQ22_spl <=> (sk_c6=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f267,plain,(
% 0.13/0.39 ~sk_c6=sk_c6|sQ22_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f265])).
% 0.13/0.39 fof(f269,plain,(
% 0.13/0.39 ~multiply(sk_c6,sk_c8)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f239,f75])).
% 0.13/0.39 fof(f270,plain,(
% 0.13/0.39 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f220,f269])).
% 0.13/0.39 fof(f271,plain,(
% 0.13/0.39 multiply(sk_c6,sk_c7)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f239,f231])).
% 0.13/0.39 fof(f272,plain,(
% 0.13/0.39 multiply(sk_c6,sk_c6)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f239,f271])).
% 0.13/0.39 fof(f273,plain,(
% 0.13/0.39 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f272,f197])).
% 0.13/0.39 fof(f275,plain,(
% 0.13/0.39 sk_c6=identity|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f36,f273])).
% 0.13/0.39 fof(f280,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f275,f36])).
% 0.13/0.39 fof(f281,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f275,f35])).
% 0.13/0.39 fof(f284,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f239,f237])).
% 0.13/0.39 fof(f289,plain,(
% 0.13/0.39 multiply(sk_c6,sk_c3)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f239,f233])).
% 0.13/0.39 fof(f290,plain,(
% 0.13/0.39 sk_c6=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f291,f239])).
% 0.13/0.39 fof(f291,plain,(
% 0.13/0.39 sk_c3=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f281,f289])).
% 0.13/0.39 fof(f292,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c3,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f290,f281])).
% 0.13/0.39 fof(f294,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f290,f284])).
% 0.13/0.39 fof(f296,plain,(
% 0.13/0.39 sk_c3=identity|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f290,f275])).
% 0.13/0.39 fof(f302,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c3,multiply(sk_c2,X0))|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f294,f197])).
% 0.13/0.39 fof(f303,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c2,X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f292,f302])).
% 0.13/0.39 fof(f327,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c2)=identity|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f291,f226])).
% 0.13/0.39 fof(f328,plain,(
% 0.13/0.39 sk_c3=sk_c2|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f329,f296])).
% 0.13/0.39 fof(f329,plain,(
% 0.13/0.39 sk_c2=identity|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f292,f327])).
% 0.13/0.39 fof(f332,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f328,f294])).
% 0.13/0.39 fof(f336,plain,(
% 0.13/0.39 sk_c6=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f328,f290])).
% 0.13/0.39 fof(f337,plain,(
% 0.13/0.39 sk_c2=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f328,f291])).
% 0.13/0.39 fof(f348,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f336,f270])).
% 0.13/0.39 fof(f349,plain,(
% 0.13/0.39 ~sk_c6=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f303,f348])).
% 0.13/0.39 fof(f350,plain,(
% 0.13/0.39 ~sk_c2=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f336,f349])).
% 0.13/0.39 fof(f351,plain,(
% 0.13/0.39 ~sk_c2=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f336,f350])).
% 0.13/0.39 fof(f352,plain,(
% 0.13/0.39 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f351])).
% 0.13/0.39 fof(f353,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f352])).
% 0.13/0.39 fof(f354,plain,(
% 0.13/0.39 ~inverse(sk_c2)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f336,f246])).
% 0.13/0.39 fof(f355,plain,(
% 0.13/0.39 ~sk_c2=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f332,f354])).
% 0.13/0.39 fof(f356,plain,(
% 0.13/0.39 ~sk_c2=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f336,f355])).
% 0.13/0.39 fof(f357,plain,(
% 0.13/0.39 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f356])).
% 0.13/0.39 fof(f358,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f357])).
% 0.13/0.39 fof(f373,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c6)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f337,f143])).
% 0.13/0.39 fof(f374,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f336,f373])).
% 0.13/0.39 fof(f375,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f337,f374])).
% 0.13/0.39 fof(f376,definition,(
% 0.13/0.39 sQ23_spl <=> (sk_c7=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f378,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|sQ23_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f376])).
% 0.13/0.39 fof(f381,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f336,f280])).
% 0.13/0.39 fof(f389,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c2))=sk_c2|~sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f375,f381])).
% 0.13/0.39 fof(f396,plain,(
% 0.13/0.39 ~inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f332,f389])).
% 0.13/0.39 fof(f397,plain,(
% 0.13/0.39 ~sk_c2=sk_c2|~sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f332,f396])).
% 0.13/0.39 fof(f398,plain,(
% 0.13/0.39 $false|~sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f397])).
% 0.13/0.39 fof(f399,plain,(
% 0.13/0.39 ~sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f398])).
% 0.13/0.39 fof(f400,plain,(
% 0.13/0.39 $false|sQ22_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f267])).
% 0.13/0.39 fof(f401,plain,(
% 0.13/0.39 sQ22_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f400])).
% 0.13/0.39 fof(f403,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~sQ2_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f78,f197])).
% 0.13/0.39 fof(f404,plain,(
% 0.13/0.39 sk_c6=multiply(inverse(sk_c5),sk_c7)|~sQ5_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f90,f197])).
% 0.13/0.39 fof(f406,plain,(
% 0.13/0.39 sk_c6=multiply(sk_c7,sk_c7)|~sQ4_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f86,f404])).
% 0.13/0.39 fof(f407,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f197,f208])).
% 0.13/0.39 fof(f409,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f208,f197])).
% 0.13/0.39 fof(f415,plain,(
% 0.13/0.39 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ3_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f82,f197])).
% 0.13/0.39 fof(f417,plain,(
% 0.13/0.39 sk_c7=multiply(sk_c8,sk_c8)|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f78,f415])).
% 0.13/0.39 fof(f433,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c8)=multiply(sk_c4,sk_c6)|~sQ3_spl|~sQ1_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f74,f169])).
% 0.13/0.39 fof(f436,plain,(
% 0.13/0.39 sk_c7=multiply(sk_c4,sk_c6)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f417,f433])).
% 0.13/0.39 fof(f447,plain,(
% 0.13/0.39 sk_c6=multiply(inverse(sk_c4),sk_c7)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f436,f197])).
% 0.13/0.39 fof(f449,plain,(
% 0.13/0.39 sk_c6=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f78,f447])).
% 0.13/0.39 fof(f450,plain,(
% 0.13/0.39 $false|sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f449,f72])).
% 0.13/0.39 fof(f451,plain,(
% 0.13/0.39 sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f450])).
% 0.13/0.39 fof(f479,plain,(
% 0.13/0.39 inverse(identity)=identity),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f409])).
% 0.13/0.39 fof(f493,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ2_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f403,f157])).
% 0.13/0.39 fof(f496,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~sQ12_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f407,f157])).
% 0.13/0.39 fof(f499,definition,(
% 0.13/0.39 sQ24_spl <=> (sk_c8=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f502,plain,(
% 0.13/0.39 ~sQ24_spl|~sQ2_spl|~sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f493,f499,f77,f136])).
% 0.13/0.39 fof(f511,definition,(
% 0.13/0.39 sQ27_spl <=> (multiply(sk_c8,sk_c8)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f513,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c8)=sk_c7|sQ27_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f511])).
% 0.13/0.39 fof(f514,definition,(
% 0.13/0.39 sQ28_spl <=> (inverse(identity)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f516,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c8|sQ28_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f514])).
% 0.13/0.39 fof(f517,plain,(
% 0.13/0.39 ~sQ27_spl|~sQ28_spl|~sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f496,f511,f514,f136])).
% 0.13/0.39 fof(f525,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|~sQ2_spl|~sQ3_spl|sQ27_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f417,f513])).
% 0.13/0.39 fof(f526,plain,(
% 0.13/0.39 $false|~sQ2_spl|~sQ3_spl|sQ27_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f525])).
% 0.13/0.39 fof(f527,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ3_spl|sQ27_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f526])).
% 0.13/0.39 fof(f534,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|~inverse(sk_c8)=sk_c8|~sQ11_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f417,f134])).
% 0.13/0.39 fof(f540,plain,(
% 0.13/0.39 ~sQ23_spl|~sQ16_spl|~sQ11_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f534,f376,f182,f133,f77,f81])).
% 0.13/0.39 fof(f550,plain,(
% 0.13/0.39 $false|sQ23_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f378])).
% 0.13/0.39 fof(f551,plain,(
% 0.13/0.39 sQ23_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f550])).
% 0.13/0.39 fof(f555,plain,(
% 0.13/0.39 multiply(sk_c6,sk_c8)=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f417,f198])).
% 0.13/0.39 fof(f559,plain,(
% 0.13/0.39 multiply(sk_c6,sk_c8)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f406,f555])).
% 0.13/0.39 fof(f564,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c6),sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f559,f197])).
% 0.13/0.39 fof(f571,plain,(
% 0.13/0.39 sk_c8=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f36,f564])).
% 0.13/0.39 fof(f572,plain,(
% 0.13/0.39 ~identity=sk_c8|sQ28_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f479,f516])).
% 0.13/0.39 fof(f573,plain,(
% 0.13/0.39 inverse(identity)=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f571,f479])).
% 0.13/0.39 fof(f579,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f571,f573])).
% 0.13/0.39 fof(f580,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f571,f572])).
% 0.13/0.39 fof(f581,plain,(
% 0.13/0.39 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f580])).
% 0.13/0.39 fof(f582,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ28_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f581])).
% 0.13/0.39 fof(f584,plain,(
% 0.13/0.39 $false|sQ16_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f579,f184])).
% 0.13/0.39 fof(f585,plain,(
% 0.13/0.39 sQ16_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f584])).
% 0.13/0.39 fof(f586,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f76,f80,f84,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f150,f156,f163,f179,f180,f188,f222,f353,f358,f399,f401,f451,f502,f517,f527,f540,f551,f582,f585])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.048763 seconds
% 0.13/0.41 % CPU time: 0.147155 seconds
% 0.13/0.41 % Total memory used: 70.941 MB
% 0.13/0.41 % Net memory used: 70.810 MB
%------------------------------------------------------------------------------