%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP342-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 12:36:28 PM UTC 2026
% Result : Unsatisfiable 0.03s 5.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP342-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Sun Sep 20 20:09:44 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.32 % Drodi V4.1.1
% 0.03/5.34 % Refutation found
% 0.03/5.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/5.34 % SZS output start CNFRefutation for theBenchmark
% 0.03/5.34 fof(f1,axiom,(
% 0.03/5.34 (![X]: (multiply(identity,X) = X ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f2,axiom,(
% 0.03/5.34 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f3,axiom,(
% 0.03/5.34 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f4,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f5,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f6,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f7,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f8,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f9,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f10,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f11,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f12,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f13,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f14,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f15,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f16,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f17,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f18,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f19,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f20,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f21,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f22,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f23,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f24,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f25,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f26,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f27,negated_conjecture,(
% 0.03/5.34 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f28,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f29,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f30,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f31,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f32,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f33,negated_conjecture,(
% 0.03/5.34 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f34,negated_conjecture,(
% 0.03/5.34 (![X3,X4,X2,X1,X5]: (( 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| multiply(sk_c8,sk_c6) != sk_c7| multiply(X2,X1) != sk_c8| inverse(X2) != X1| multiply(X1,sk_c7) != sk_c8| multiply(X5,sk_c8) != sk_c6| inverse(X5) != sk_c8 ) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f35,plain,(
% 0.03/5.34 ![X0]: (multiply(identity,X0)=X0)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/5.34 fof(f36,plain,(
% 0.03/5.34 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/5.34 fof(f37,plain,(
% 0.03/5.34 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/5.34 fof(f38,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c6)=sk_c7),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/5.34 fof(f39,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c3,sk_c4)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/5.34 fof(f40,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/5.34 fof(f41,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/5.34 fof(f42,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f8])).
% 0.03/5.34 fof(f43,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f9])).
% 0.03/5.34 fof(f44,plain,(
% 0.03/5.34 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f10])).
% 0.03/5.34 fof(f45,plain,(
% 0.03/5.34 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f11])).
% 0.03/5.34 fof(f46,plain,(
% 0.03/5.34 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f12])).
% 0.03/5.34 fof(f47,plain,(
% 0.03/5.34 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f13])).
% 0.03/5.34 fof(f48,plain,(
% 0.03/5.34 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f14])).
% 0.03/5.34 fof(f49,plain,(
% 0.03/5.34 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f15])).
% 0.03/5.34 fof(f50,plain,(
% 0.03/5.34 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f16])).
% 0.03/5.34 fof(f51,plain,(
% 0.03/5.34 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f17])).
% 0.03/5.34 fof(f52,plain,(
% 0.03/5.34 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f18])).
% 0.03/5.34 fof(f53,plain,(
% 0.03/5.34 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f19])).
% 0.03/5.34 fof(f54,plain,(
% 0.03/5.34 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f20])).
% 0.03/5.34 fof(f55,plain,(
% 0.03/5.34 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f21])).
% 0.03/5.34 fof(f56,plain,(
% 0.03/5.34 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f22])).
% 0.03/5.34 fof(f57,plain,(
% 0.03/5.34 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c4)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f23])).
% 0.03/5.34 fof(f58,plain,(
% 0.03/5.34 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f24])).
% 0.03/5.34 fof(f59,plain,(
% 0.03/5.34 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f25])).
% 0.03/5.34 fof(f60,plain,(
% 0.03/5.34 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f26])).
% 0.03/5.34 fof(f61,plain,(
% 0.03/5.34 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f27])).
% 0.03/5.34 fof(f62,plain,(
% 0.03/5.34 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f28])).
% 0.03/5.34 fof(f63,plain,(
% 0.03/5.34 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c4)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f29])).
% 0.03/5.34 fof(f64,plain,(
% 0.03/5.34 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f30])).
% 0.03/5.34 fof(f65,plain,(
% 0.03/5.34 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f31])).
% 0.03/5.34 fof(f66,plain,(
% 0.03/5.34 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f32])).
% 0.03/5.34 fof(f67,plain,(
% 0.03/5.34 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f33])).
% 0.03/5.34 fof(f68,plain,(
% 0.03/5.34 ![X5]: (((![X1]: ((![X2]: ((((![X4]: (((![X3]: ((~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))|~multiply(sk_c8,sk_c6)=sk_c7)|~multiply(X2,X1)=sk_c8)|~inverse(X2)=X1))|~multiply(X1,sk_c7)=sk_c8))|~multiply(X5,sk_c8)=sk_c6)|~inverse(X5)=sk_c8)),
% 0.03/5.34 inference(miniscoping,[status(thm)],[f34])).
% 0.03/5.34 fof(f69,plain,(
% 0.03/5.34 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~multiply(sk_c8,sk_c6)=sk_c7|~multiply(X2,X3)=sk_c8|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c8|~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f68])).
% 0.03/5.34 fof(f70,definition,(
% 0.03/5.34 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f71,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f70])).
% 0.03/5.34 fof(f72,plain,(
% 0.03/5.34 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f70])).
% 0.03/5.34 fof(f73,definition,(
% 0.03/5.34 sQ1_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f74,plain,(
% 0.03/5.34 multiply(sk_c8,sk_c6)=sk_c7|~sQ1_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f73])).
% 0.03/5.34 fof(f75,plain,(
% 0.03/5.34 ~multiply(sk_c8,sk_c6)=sk_c7|sQ1_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f73])).
% 0.03/5.34 fof(f76,plain,(
% 0.03/5.34 sQ0_spl|sQ1_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.03/5.34 fof(f77,definition,(
% 0.03/5.34 sQ2_spl <=> (multiply(sk_c3,sk_c4)=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f78,plain,(
% 0.03/5.34 multiply(sk_c3,sk_c4)=sk_c8|~sQ2_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f77])).
% 0.03/5.34 fof(f80,plain,(
% 0.03/5.34 sQ0_spl|sQ2_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.03/5.34 fof(f81,definition,(
% 0.03/5.34 sQ3_spl <=> (inverse(sk_c3)=sk_c4)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f82,plain,(
% 0.03/5.34 inverse(sk_c3)=sk_c4|~sQ3_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f81])).
% 0.03/5.34 fof(f84,plain,(
% 0.03/5.34 sQ0_spl|sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.03/5.34 fof(f85,definition,(
% 0.03/5.34 sQ4_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f86,plain,(
% 0.03/5.34 multiply(sk_c4,sk_c7)=sk_c8|~sQ4_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f85])).
% 0.03/5.34 fof(f88,plain,(
% 0.03/5.34 sQ0_spl|sQ4_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.03/5.34 fof(f89,definition,(
% 0.03/5.34 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f90,plain,(
% 0.03/5.34 multiply(sk_c5,sk_c8)=sk_c6|~sQ5_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f89])).
% 0.03/5.34 fof(f92,plain,(
% 0.03/5.34 sQ0_spl|sQ5_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.03/5.34 fof(f93,definition,(
% 0.03/5.34 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f94,plain,(
% 0.03/5.34 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f93])).
% 0.03/5.34 fof(f96,plain,(
% 0.03/5.34 sQ0_spl|sQ6_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.03/5.34 fof(f97,definition,(
% 0.03/5.34 sQ7_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f98,plain,(
% 0.03/5.34 inverse(sk_c1)=sk_c8|~sQ7_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f97])).
% 0.03/5.34 fof(f100,plain,(
% 0.03/5.34 sQ7_spl|sQ1_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.03/5.34 fof(f101,plain,(
% 0.03/5.34 sQ7_spl|sQ2_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.03/5.34 fof(f102,plain,(
% 0.03/5.34 sQ7_spl|sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.03/5.34 fof(f103,plain,(
% 0.03/5.34 sQ7_spl|sQ4_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.03/5.34 fof(f104,plain,(
% 0.03/5.34 sQ7_spl|sQ5_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.03/5.34 fof(f105,plain,(
% 0.03/5.34 sQ7_spl|sQ6_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.03/5.34 fof(f106,definition,(
% 0.03/5.34 sQ8_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f107,plain,(
% 0.03/5.34 multiply(sk_c1,sk_c7)=sk_c8|~sQ8_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f106])).
% 0.03/5.34 fof(f109,plain,(
% 0.03/5.34 sQ8_spl|sQ1_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.03/5.34 fof(f110,plain,(
% 0.03/5.34 sQ8_spl|sQ2_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.03/5.34 fof(f111,plain,(
% 0.03/5.34 sQ8_spl|sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.03/5.34 fof(f112,plain,(
% 0.03/5.34 sQ8_spl|sQ4_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.03/5.34 fof(f113,plain,(
% 0.03/5.34 sQ8_spl|sQ5_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.03/5.34 fof(f114,plain,(
% 0.03/5.34 sQ8_spl|sQ6_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.03/5.34 fof(f115,definition,(
% 0.03/5.34 sQ9_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f116,plain,(
% 0.03/5.34 inverse(sk_c2)=sk_c7|~sQ9_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f115])).
% 0.03/5.34 fof(f118,plain,(
% 0.03/5.34 sQ9_spl|sQ1_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.03/5.34 fof(f119,plain,(
% 0.03/5.34 sQ9_spl|sQ2_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.03/5.34 fof(f120,plain,(
% 0.03/5.34 sQ9_spl|sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.03/5.34 fof(f121,plain,(
% 0.03/5.34 sQ9_spl|sQ4_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.03/5.34 fof(f122,plain,(
% 0.03/5.34 sQ9_spl|sQ5_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.03/5.34 fof(f123,plain,(
% 0.03/5.34 sQ9_spl|sQ6_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.03/5.34 fof(f124,definition,(
% 0.03/5.34 sQ10_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f125,plain,(
% 0.03/5.34 multiply(sk_c2,sk_c6)=sk_c7|~sQ10_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f124])).
% 0.03/5.34 fof(f127,plain,(
% 0.03/5.34 sQ10_spl|sQ1_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.03/5.34 fof(f128,plain,(
% 0.03/5.34 sQ10_spl|sQ2_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.03/5.34 fof(f129,plain,(
% 0.03/5.34 sQ10_spl|sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.03/5.34 fof(f130,plain,(
% 0.03/5.34 sQ10_spl|sQ4_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.03/5.34 fof(f131,plain,(
% 0.03/5.34 sQ10_spl|sQ5_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.03/5.34 fof(f132,plain,(
% 0.03/5.34 sQ10_spl|sQ6_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.03/5.34 fof(f133,definition,(
% 0.03/5.34 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f134,plain,(
% 0.03/5.34 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ11_spl)),
% 0.03/5.34 inference(component_clause,[status(thm)],[f133])).
% 0.03/5.34 fof(f136,definition,(
% 0.03/5.34 ![X1]: (sQ12_spl <=> (~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f137,plain,(
% 0.03/5.34 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.03/5.34 inference(component_clause,[status(thm)],[f136])).
% 0.03/5.34 fof(f139,definition,(
% 0.03/5.34 ![X2,X3]: (sQ13_spl <=> (~multiply(X2,X3)=sk_c8|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c8))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f140,plain,(
% 0.03/5.34 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ13_spl)),
% 0.03/5.34 inference(component_clause,[status(thm)],[f139])).
% 0.03/5.34 fof(f142,definition,(
% 0.03/5.34 ![X4]: (sQ14_spl <=> (~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8))),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f143,plain,(
% 0.03/5.34 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.03/5.34 inference(component_clause,[status(thm)],[f142])).
% 0.03/5.34 fof(f145,plain,(
% 0.03/5.34 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.03/5.34 fof(f148,plain,(
% 0.03/5.34 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~sQ10_spl)),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f125,f37])).
% 0.03/5.34 fof(f152,plain,(
% 0.03/5.34 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ4_spl)),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f86,f37])).
% 0.03/5.34 fof(f154,plain,(
% 0.03/5.34 multiply(sk_c4,sk_c3)=identity|~sQ3_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.03/5.34 fof(f155,plain,(
% 0.03/5.34 multiply(sk_c8,sk_c5)=identity|~sQ6_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.03/5.34 fof(f156,plain,(
% 0.03/5.34 multiply(sk_c8,sk_c1)=identity|~sQ7_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f98,f36])).
% 0.03/5.34 fof(f158,plain,(
% 0.03/5.34 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.03/5.34 fof(f159,plain,(
% 0.03/5.34 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f158])).
% 0.03/5.34 fof(f161,plain,(
% 0.03/5.34 ~inverse(sk_c5)=sk_c8|~sQ14_spl|~sQ5_spl),
% 0.03/5.34 inference(resolution,[status(thm)],[f143,f90])).
% 0.03/5.34 fof(f166,plain,(
% 0.03/5.34 ~sk_c8=sk_c8|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f94,f161])).
% 0.03/5.34 fof(f167,plain,(
% 0.03/5.34 $false|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f166])).
% 0.03/5.34 fof(f168,plain,(
% 0.03/5.34 ~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f167])).
% 0.03/5.34 fof(f169,plain,(
% 0.03/5.34 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ13_spl)),
% 0.03/5.34 inference(destructive_equality_resolution,[status(thm)],[f140])).
% 0.03/5.34 fof(f170,plain,(
% 0.03/5.34 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ0_spl)),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.03/5.34 fof(f173,plain,(
% 0.03/5.34 ~multiply(sk_c3,sk_c4)=sk_c8|~multiply(inverse(sk_c3),sk_c7)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f82,f169])).
% 0.03/5.34 fof(f176,definition,(
% 0.03/5.34 sQ15_spl <=> (inverse(identity)=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f178,plain,(
% 0.03/5.34 ~inverse(identity)=sk_c8|sQ15_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f176])).
% 0.03/5.34 fof(f183,definition,(
% 0.03/5.34 sQ17_spl <=> (multiply(inverse(sk_c3),sk_c7)=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f185,plain,(
% 0.03/5.34 ~multiply(inverse(sk_c3),sk_c7)=sk_c8|sQ17_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f183])).
% 0.03/5.34 fof(f186,plain,(
% 0.03/5.34 ~sQ2_spl|~sQ17_spl|~sQ13_spl|~sQ3_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f173,f77,f183,f139,f81])).
% 0.03/5.34 fof(f203,plain,(
% 0.03/5.34 ~multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl|sQ17_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f82,f185])).
% 0.03/5.34 fof(f204,plain,(
% 0.03/5.34 ~sk_c8=sk_c8|~sQ4_spl|~sQ3_spl|sQ17_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f86,f203])).
% 0.03/5.34 fof(f205,plain,(
% 0.03/5.34 $false|~sQ4_spl|~sQ3_spl|sQ17_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f204])).
% 0.03/5.34 fof(f206,plain,(
% 0.03/5.34 ~sQ4_spl|~sQ3_spl|sQ17_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f205])).
% 0.03/5.34 fof(f207,plain,(
% 0.03/5.34 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ10_spl),
% 0.03/5.34 inference(resolution,[status(thm)],[f137,f125])).
% 0.03/5.34 fof(f209,plain,(
% 0.03/5.34 ~inverse(identity)=sk_c7|~sk_c6=sk_c7|~sQ12_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f35,f137])).
% 0.03/5.34 fof(f212,plain,(
% 0.03/5.34 ~sk_c7=sk_c7|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f116,f207])).
% 0.03/5.34 fof(f213,plain,(
% 0.03/5.34 $false|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f212])).
% 0.03/5.34 fof(f214,plain,(
% 0.03/5.34 ~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f213])).
% 0.03/5.34 fof(f218,plain,(
% 0.03/5.34 ~inverse(identity)=sk_c8|~sk_c7=sk_c8|~sQ11_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f35,f134])).
% 0.03/5.34 fof(f221,plain,(
% 0.03/5.34 ~inverse(sk_c1)=sk_c8|~sk_c8=sk_c8|~sQ11_spl|~sQ8_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f107,f134])).
% 0.03/5.34 fof(f229,definition,(
% 0.03/5.34 sQ24_spl <=> (sk_c7=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f231,plain,(
% 0.03/5.34 ~sk_c7=sk_c8|sQ24_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f229])).
% 0.03/5.34 fof(f232,plain,(
% 0.03/5.34 ~sQ15_spl|~sQ24_spl|~sQ11_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f218,f176,f229,f133])).
% 0.03/5.34 fof(f236,definition,(
% 0.03/5.34 sQ26_spl <=> (sk_c8=sk_c8)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f238,plain,(
% 0.03/5.34 ~sk_c8=sk_c8|sQ26_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f236])).
% 0.03/5.34 fof(f240,plain,(
% 0.03/5.34 ~sQ7_spl|~sQ26_spl|~sQ11_spl|~sQ8_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f221,f97,f236,f133,f106])).
% 0.03/5.34 fof(f241,plain,(
% 0.03/5.34 $false|sQ26_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f238])).
% 0.03/5.34 fof(f242,plain,(
% 0.03/5.34 sQ26_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f241])).
% 0.03/5.34 fof(f246,plain,(
% 0.03/5.34 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~sQ6_spl)),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f155,f37])).
% 0.03/5.34 fof(f247,plain,(
% 0.03/5.34 ![X0]: (X0=multiply(sk_c8,multiply(sk_c5,X0))|~sQ6_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f246])).
% 0.03/5.34 fof(f269,plain,(
% 0.03/5.34 sk_c8=multiply(sk_c8,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f90,f247])).
% 0.03/5.34 fof(f272,plain,(
% 0.03/5.34 sk_c8=sk_c7|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f74,f269])).
% 0.03/5.34 fof(f276,plain,(
% 0.03/5.34 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl)),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f272,f152])).
% 0.03/5.34 fof(f278,plain,(
% 0.03/5.34 ~multiply(sk_c7,sk_c7)=sk_c6|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f272,f72])).
% 0.03/5.34 fof(f279,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c5)=identity|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f272,f155])).
% 0.03/5.34 fof(f280,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c6)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f272,f74])).
% 0.03/5.34 fof(f282,plain,(
% 0.03/5.34 multiply(sk_c3,sk_c4)=sk_c7|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f272,f78])).
% 0.03/5.34 fof(f303,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c5)=multiply(sk_c4,identity)|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f279,f276])).
% 0.03/5.34 fof(f308,plain,(
% 0.03/5.34 identity=multiply(sk_c4,identity)|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f279,f303])).
% 0.03/5.34 fof(f348,plain,(
% 0.03/5.34 ![X0]: (multiply(identity,X0)=multiply(sk_c4,multiply(identity,X0))|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl)),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f308,f37])).
% 0.03/5.34 fof(f349,plain,(
% 0.03/5.34 ![X0]: (X0=multiply(sk_c4,multiply(identity,X0))|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f348])).
% 0.03/5.34 fof(f350,plain,(
% 0.03/5.34 ![X0]: (X0=multiply(sk_c4,X0)|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f349])).
% 0.03/5.34 fof(f354,plain,(
% 0.03/5.34 sk_c3=identity|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f350,f154])).
% 0.03/5.34 fof(f360,plain,(
% 0.03/5.34 multiply(identity,sk_c4)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f354,f282])).
% 0.03/5.34 fof(f361,plain,(
% 0.03/5.34 inverse(identity)=sk_c4|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f354,f82])).
% 0.03/5.34 fof(f366,plain,(
% 0.03/5.34 sk_c4=sk_c7|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f360])).
% 0.03/5.34 fof(f367,plain,(
% 0.03/5.34 ![X0]: (X0=multiply(sk_c7,X0)|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl)),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f366,f350])).
% 0.03/5.34 fof(f368,plain,(
% 0.03/5.34 inverse(identity)=sk_c7|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f366,f361])).
% 0.03/5.34 fof(f371,plain,(
% 0.03/5.34 sk_c6=sk_c7|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f367,f280])).
% 0.03/5.34 fof(f373,plain,(
% 0.03/5.34 ~sk_c7=sk_c6|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f367,f278])).
% 0.03/5.34 fof(f386,plain,(
% 0.03/5.34 ~sk_c7=sk_c7|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f371,f373])).
% 0.03/5.34 fof(f387,plain,(
% 0.03/5.34 $false|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f386])).
% 0.03/5.34 fof(f388,plain,(
% 0.03/5.34 ~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f387])).
% 0.03/5.34 fof(f389,plain,(
% 0.03/5.34 ~sk_c7=sk_c8|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|sQ15_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f368,f178])).
% 0.03/5.34 fof(f390,plain,(
% 0.03/5.34 ~sk_c7=sk_c7|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|sQ15_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f272,f389])).
% 0.03/5.34 fof(f391,plain,(
% 0.03/5.34 $false|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|sQ15_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f390])).
% 0.03/5.34 fof(f392,plain,(
% 0.03/5.34 ~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|sQ15_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f391])).
% 0.03/5.34 fof(f404,definition,(
% 0.03/5.34 sQ28_spl <=> (identity=sk_c7)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f405,plain,(
% 0.03/5.34 identity=sk_c7|~sQ28_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f404])).
% 0.03/5.34 fof(f406,plain,(
% 0.03/5.34 ~identity=sk_c7|sQ28_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f404])).
% 0.03/5.34 fof(f408,definition,(
% 0.03/5.34 sQ29_spl <=> (inverse(identity)=sk_c7)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f410,plain,(
% 0.03/5.34 ~inverse(identity)=sk_c7|sQ29_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f408])).
% 0.03/5.34 fof(f411,definition,(
% 0.03/5.34 sQ30_spl <=> (sk_c6=sk_c7)),
% 0.03/5.34 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.03/5.34 fof(f413,plain,(
% 0.03/5.34 ~sk_c6=sk_c7|sQ30_spl),
% 0.03/5.34 inference(component_clause,[status(thm)],[f411])).
% 0.03/5.34 fof(f414,plain,(
% 0.03/5.34 ~sQ29_spl|~sQ30_spl|~sQ12_spl),
% 0.03/5.34 inference(split_clause,[status(thm)],[f209,f408,f411,f136])).
% 0.03/5.34 fof(f421,plain,(
% 0.03/5.34 ~sk_c7=sk_c7|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|sQ29_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f368,f410])).
% 0.03/5.34 fof(f422,plain,(
% 0.03/5.34 $false|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|sQ29_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f421])).
% 0.03/5.34 fof(f423,plain,(
% 0.03/5.34 ~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|sQ29_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f422])).
% 0.03/5.34 fof(f424,plain,(
% 0.03/5.34 ~sk_c7=sk_c7|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f272,f231])).
% 0.03/5.34 fof(f425,plain,(
% 0.03/5.34 $false|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f424])).
% 0.03/5.34 fof(f426,plain,(
% 0.03/5.34 ~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f425])).
% 0.03/5.34 fof(f427,plain,(
% 0.03/5.34 ~sk_c7=sk_c7|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ30_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f371,f413])).
% 0.03/5.34 fof(f428,plain,(
% 0.03/5.34 $false|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ30_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f427])).
% 0.03/5.34 fof(f429,plain,(
% 0.03/5.34 ~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ30_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f428])).
% 0.03/5.34 fof(f458,plain,(
% 0.03/5.34 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ10_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f125,f159])).
% 0.03/5.34 fof(f463,plain,(
% 0.03/5.34 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ8_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f107,f159])).
% 0.03/5.34 fof(f470,plain,(
% 0.03/5.34 sk_c6=multiply(sk_c7,sk_c7)|~sQ9_spl|~sQ10_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f116,f458])).
% 0.03/5.34 fof(f472,plain,(
% 0.03/5.34 sk_c7=multiply(sk_c8,sk_c8)|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f98,f463])).
% 0.03/5.34 fof(f488,plain,(
% 0.03/5.34 multiply(sk_c6,sk_c8)=multiply(sk_c7,sk_c7)|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f472,f170])).
% 0.03/5.34 fof(f491,plain,(
% 0.03/5.34 multiply(sk_c6,sk_c8)=sk_c6|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f470,f488])).
% 0.03/5.34 fof(f531,plain,(
% 0.03/5.34 multiply(sk_c7,sk_c8)=multiply(sk_c2,sk_c6)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f491,f148])).
% 0.03/5.34 fof(f532,plain,(
% 0.03/5.34 sk_c8=multiply(inverse(sk_c6),sk_c6)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(paramodulation,[status(thm)],[f491,f159])).
% 0.03/5.34 fof(f536,plain,(
% 0.03/5.34 sk_c6=multiply(sk_c2,sk_c6)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f71,f531])).
% 0.03/5.34 fof(f537,plain,(
% 0.03/5.34 sk_c6=sk_c7|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f125,f536])).
% 0.03/5.34 fof(f538,plain,(
% 0.03/5.34 sk_c8=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f36,f532])).
% 0.03/5.34 fof(f551,plain,(
% 0.03/5.34 ~multiply(sk_c8,sk_c7)=sk_c7|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f537,f75])).
% 0.03/5.34 fof(f558,plain,(
% 0.03/5.34 sk_c7=multiply(sk_c8,identity)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f538,f472])).
% 0.03/5.34 fof(f560,plain,(
% 0.03/5.34 multiply(identity,sk_c1)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f538,f156])).
% 0.03/5.34 fof(f567,plain,(
% 0.03/5.34 inverse(sk_c1)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f538,f98])).
% 0.03/5.34 fof(f571,plain,(
% 0.03/5.34 sk_c7=multiply(identity,identity)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f538,f558])).
% 0.03/5.34 fof(f572,plain,(
% 0.03/5.34 sk_c7=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f571])).
% 0.03/5.34 fof(f573,plain,(
% 0.03/5.34 $false|sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(forward_subsumption_resolution,[status(thm)],[f572,f406])).
% 0.03/5.34 fof(f574,plain,(
% 0.03/5.34 sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f573])).
% 0.03/5.34 fof(f576,plain,(
% 0.03/5.34 sk_c1=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f560])).
% 0.03/5.34 fof(f586,plain,(
% 0.03/5.34 ~multiply(identity,sk_c7)=sk_c7|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f538,f551])).
% 0.03/5.34 fof(f587,plain,(
% 0.03/5.34 ~sk_c7=sk_c7|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f586])).
% 0.03/5.34 fof(f588,plain,(
% 0.03/5.34 $false|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f587])).
% 0.03/5.34 fof(f589,plain,(
% 0.03/5.34 ~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f588])).
% 0.03/5.34 fof(f590,plain,(
% 0.03/5.34 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f538,f169])).
% 0.03/5.34 fof(f591,plain,(
% 0.03/5.34 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c7)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f538,f590])).
% 0.03/5.34 fof(f615,plain,(
% 0.03/5.34 ~multiply(sk_c7,inverse(sk_c7))=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.03/5.34 inference(resolution,[status(thm)],[f591,f36])).
% 0.03/5.34 fof(f655,plain,(
% 0.03/5.34 inverse(identity)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f576,f567])).
% 0.03/5.34 fof(f663,plain,(
% 0.03/5.34 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c8|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f538,f143])).
% 0.03/5.34 fof(f664,plain,(
% 0.03/5.34 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f537,f663])).
% 0.03/5.34 fof(f665,plain,(
% 0.03/5.34 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f538,f664])).
% 0.03/5.34 fof(f704,plain,(
% 0.03/5.34 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl)),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f405,f665])).
% 0.03/5.34 fof(f705,plain,(
% 0.03/5.34 ~inverse(inverse(identity))=identity|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl),
% 0.03/5.34 inference(resolution,[status(thm)],[f704,f36])).
% 0.03/5.34 fof(f710,plain,(
% 0.03/5.34 ~inverse(identity)=identity|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f655,f705])).
% 0.03/5.34 fof(f711,plain,(
% 0.03/5.34 ~identity=identity|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f655,f710])).
% 0.03/5.34 fof(f712,plain,(
% 0.03/5.34 $false|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f711])).
% 0.03/5.34 fof(f713,plain,(
% 0.03/5.34 ~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f712])).
% 0.03/5.34 fof(f716,plain,(
% 0.03/5.34 ~multiply(identity,inverse(sk_c7))=identity|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f405,f615])).
% 0.03/5.34 fof(f717,plain,(
% 0.03/5.34 ~inverse(sk_c7)=identity|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f35,f716])).
% 0.03/5.34 fof(f718,plain,(
% 0.03/5.34 ~inverse(identity)=identity|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f405,f717])).
% 0.03/5.34 fof(f719,plain,(
% 0.03/5.34 ~identity=identity|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f655,f718])).
% 0.03/5.34 fof(f720,plain,(
% 0.03/5.34 $false|~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.03/5.34 inference(trivial_equality_resolution,[status(thm)],[f719])).
% 0.03/5.34 fof(f721,plain,(
% 0.03/5.34 ~sQ28_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.03/5.34 inference(contradiction_clause,[status(thm)],[f720])).
% 0.03/5.34 fof(f722,plain,(
% 0.03/5.34 $false),
% 0.03/5.34 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f168,f186,f206,f214,f232,f240,f242,f388,f392,f414,f423,f426,f429,f574,f589,f713,f721])).
% 0.03/5.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/5.36 % Elapsed time: 0.041482 seconds
% 0.03/5.36 % CPU time: 0.121941 seconds
% 0.03/5.36 % Total memory used: 103.971 MB
% 0.03/5.36 % Net memory used: 103.740 MB
%------------------------------------------------------------------------------