%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP327-1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:27 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP327-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:11:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 multiply(sk_c7,sk_c8) = sk_c6 ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f30,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f31,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f32,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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f33,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f35,negated_conjecture,(
% 0.13/0.39 (![X3,X4,X5,X1,X2]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c7) != sk_c8| inverse(X3) != sk_c7| multiply(sk_c8,X4) != sk_c7| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8| inverse(sk_c7) != sk_c6| multiply(sk_c6,sk_c8) != sk_c7| 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/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f36,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(f37,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(f38,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(f39,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c7)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 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)],[f19])).
% 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)],[f20])).
% 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)],[f21])).
% 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)],[f22])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c7)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f60,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(f61,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(f62,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(f63,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(f64,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|inverse(sk_c7)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.39 fof(f67,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)],[f32])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.39 fof(f69,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)],[f34])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 ![X2]: (((![X1]: (((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c7)=sk_c8)|~inverse(X3)=sk_c7))|~multiply(sk_c8,X4)=sk_c7)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8))|~inverse(sk_c7)=sk_c6)|~multiply(sk_c6,sk_c8)=sk_c7)|~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)],[f35])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~inverse(sk_c7)=sk_c6|~multiply(sk_c6,sk_c8)=sk_c7|~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)],[f70])).
% 0.13/0.39 fof(f72,definition,(
% 0.13/0.39 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|~sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f72])).
% 0.13/0.39 fof(f75,definition,(
% 0.13/0.39 sQ1_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 inverse(sk_c7)=sk_c6|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f75])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 ~inverse(sk_c7)=sk_c6|sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f75])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f40,f72,f75])).
% 0.13/0.39 fof(f79,definition,(
% 0.13/0.39 sQ2_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 multiply(sk_c6,sk_c8)=sk_c7|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 ~multiply(sk_c6,sk_c8)=sk_c7|sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f41,f72,f79])).
% 0.13/0.39 fof(f83,definition,(
% 0.13/0.39 sQ3_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c8|~sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f83])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 sQ0_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f42,f72,f83])).
% 0.13/0.39 fof(f87,definition,(
% 0.13/0.39 sQ4_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f87])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 sQ0_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f43,f72,f87])).
% 0.13/0.39 fof(f91,definition,(
% 0.13/0.39 sQ5_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c7|~sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 sQ0_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f44,f72,f91])).
% 0.13/0.39 fof(f95,definition,(
% 0.13/0.39 sQ6_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c6)=sk_c7|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f95])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 sQ0_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f45,f72,f95])).
% 0.13/0.39 fof(f99,definition,(
% 0.13/0.39 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.39 fof(f102,plain,(
% 0.13/0.39 sQ7_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f46,f99,f75])).
% 0.13/0.39 fof(f103,plain,(
% 0.13/0.39 sQ7_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f99,f79])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 sQ7_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f99,f83])).
% 0.13/0.39 fof(f105,plain,(
% 0.13/0.39 sQ7_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f49,f99,f87])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 sQ7_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f50,f99,f91])).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 sQ7_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f51,f99,f95])).
% 0.13/0.39 fof(f108,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(f109,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c7|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f52,f108,f75])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f53,f108,f79])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 sQ8_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f108,f83])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 sQ8_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f55,f108,f87])).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 sQ8_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f108,f91])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 sQ8_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f108,f95])).
% 0.13/0.40 fof(f117,definition,(
% 0.13/0.40 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c3|~sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 sQ9_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f58,f117,f75])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f59,f117,f79])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 sQ9_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f60,f117,f83])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 sQ9_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f61,f117,f87])).
% 0.13/0.40 fof(f124,plain,(
% 0.13/0.40 sQ9_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f62,f117,f91])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 sQ9_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f117,f95])).
% 0.13/0.40 fof(f126,definition,(
% 0.13/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f126])).
% 0.13/0.40 fof(f129,plain,(
% 0.13/0.40 sQ10_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f64,f126,f75])).
% 0.13/0.40 fof(f130,plain,(
% 0.13/0.40 sQ10_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f126,f79])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 sQ10_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f66,f126,f83])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 sQ10_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f67,f126,f87])).
% 0.13/0.40 fof(f133,plain,(
% 0.13/0.40 sQ10_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f68,f126,f91])).
% 0.13/0.40 fof(f134,plain,(
% 0.13/0.40 sQ10_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f69,f126,f95])).
% 0.13/0.40 fof(f135,definition,(
% 0.13/0.40 sQ11_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ~multiply(sk_c7,sk_c8)=sk_c6|sQ11_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f135])).
% 0.13/0.40 fof(f138,definition,(
% 0.13/0.40 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f138])).
% 0.13/0.40 fof(f141,definition,(
% 0.13/0.40 ![X1,X2]: (sQ13_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.40 fof(f144,definition,(
% 0.13/0.40 ![X3]: (sQ14_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ14_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f144])).
% 0.13/0.40 fof(f147,definition,(
% 0.13/0.40 ![X4]: (sQ15_spl <=> (~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ15_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f147])).
% 0.13/0.40 fof(f150,plain,(
% 0.13/0.40 ~sQ11_spl|sQ12_spl|sQ13_spl|~sQ1_spl|~sQ2_spl|sQ14_spl|sQ15_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f71,f135,f138,f141,f75,f79,f144,f147])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f127,f37])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f37,f38])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f161])).
% 0.13/0.40 fof(f167,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c7|~sQ15_spl|~sQ6_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f148,f96])).
% 0.13/0.40 fof(f172,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f92,f167])).
% 0.13/0.40 fof(f173,plain,(
% 0.13/0.40 $false|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f172])).
% 0.13/0.40 fof(f174,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f173])).
% 0.13/0.40 fof(f175,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|sQ11_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f39,f137])).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 $false|sQ11_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f175])).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 sQ11_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f176])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ4_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f145,f88])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c8|~sQ14_spl|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f145,f73])).
% 0.13/0.40 fof(f187,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~sQ3_spl|~sQ14_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f84,f180])).
% 0.13/0.40 fof(f188,plain,(
% 0.13/0.40 $false|~sQ3_spl|~sQ14_spl|~sQ4_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f187])).
% 0.13/0.40 fof(f189,plain,(
% 0.13/0.40 ~sQ3_spl|~sQ14_spl|~sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f188])).
% 0.13/0.40 fof(f191,plain,(
% 0.13/0.40 ![X0]: (~sk_c7=sk_c7|~multiply(X0,sk_c8)=sk_c3|~inverse(X0)=sk_c8|~sQ13_spl|~sQ8_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f109,f142])).
% 0.13/0.40 fof(f192,definition,(
% 0.13/0.40 sQ16_spl <=> (sk_c7=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f194,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|sQ16_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f192])).
% 0.13/0.40 fof(f195,definition,(
% 0.13/0.40 ![X0]: (sQ17_spl <=> (~multiply(X0,sk_c8)=sk_c3|~inverse(X0)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f196,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c3|~inverse(X0)=sk_c8|~sQ17_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f195])).
% 0.13/0.40 fof(f198,plain,(
% 0.13/0.40 ~sQ16_spl|sQ17_spl|~sQ13_spl|~sQ8_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f191,f192,f195,f141,f108])).
% 0.13/0.40 fof(f199,plain,(
% 0.13/0.40 $false|sQ16_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f194])).
% 0.13/0.40 fof(f200,plain,(
% 0.13/0.40 sQ16_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f199])).
% 0.13/0.40 fof(f206,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c7|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f139,f73])).
% 0.13/0.40 fof(f207,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~inverse(sk_c4)=sk_c7|~sQ12_spl|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f88,f139])).
% 0.13/0.40 fof(f212,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f100,f206])).
% 0.13/0.40 fof(f213,plain,(
% 0.13/0.40 $false|~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f212])).
% 0.13/0.40 fof(f214,plain,(
% 0.13/0.40 ~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f213])).
% 0.13/0.40 fof(f215,definition,(
% 0.13/0.40 sQ18_spl <=> (sk_c8=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f217,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|sQ18_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f215])).
% 0.13/0.40 fof(f218,definition,(
% 0.13/0.40 sQ19_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f220,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c7|sQ19_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f218])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 ~sQ18_spl|~sQ19_spl|~sQ12_spl|~sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f207,f215,f218,f138,f87])).
% 0.13/0.40 fof(f236,plain,(
% 0.13/0.40 $false|sQ18_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f217])).
% 0.13/0.40 fof(f237,plain,(
% 0.13/0.40 sQ18_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f236])).
% 0.13/0.40 fof(f238,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c7)=identity|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f76,f37])).
% 0.13/0.40 fof(f239,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c8,X0))|~sQ2_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f80,f38])).
% 0.13/0.40 fof(f243,plain,(
% 0.13/0.40 ~sk_c8=sk_c7|~sQ3_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f84,f220])).
% 0.13/0.40 fof(f266,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f88,f162])).
% 0.13/0.40 fof(f275,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f118,f162])).
% 0.13/0.40 fof(f282,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c8,sk_c8)|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f84,f266])).
% 0.13/0.40 fof(f285,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c8,sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f127,f275])).
% 0.13/0.40 fof(f286,plain,(
% 0.13/0.40 sk_c8=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f109,f285])).
% 0.13/0.40 fof(f383,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=multiply(sk_c6,sk_c7)|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f282,f239])).
% 0.13/0.40 fof(f388,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c6,sk_c7)|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f39,f383])).
% 0.13/0.40 fof(f389,plain,(
% 0.13/0.40 sk_c6=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f238,f388])).
% 0.13/0.40 fof(f405,plain,(
% 0.13/0.40 multiply(identity,sk_c7)=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f389,f238])).
% 0.13/0.40 fof(f408,plain,(
% 0.13/0.40 multiply(identity,sk_c8)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f389,f80])).
% 0.13/0.40 fof(f409,plain,(
% 0.13/0.40 inverse(sk_c7)=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f389,f76])).
% 0.13/0.40 fof(f413,plain,(
% 0.13/0.40 sk_c7=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f405])).
% 0.13/0.40 fof(f416,plain,(
% 0.13/0.40 sk_c8=sk_c7|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f408])).
% 0.13/0.40 fof(f417,plain,(
% 0.13/0.40 $false|sQ19_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f416,f243])).
% 0.13/0.40 fof(f418,plain,(
% 0.13/0.40 sQ19_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f417])).
% 0.13/0.40 fof(f427,plain,(
% 0.13/0.40 inverse(identity)=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f413,f409])).
% 0.13/0.40 fof(f443,plain,(
% 0.13/0.40 sk_c8=identity|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f413,f416])).
% 0.13/0.40 fof(f451,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(identity,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f443,f142])).
% 0.13/0.40 fof(f452,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f451])).
% 0.13/0.40 fof(f453,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f413,f452])).
% 0.13/0.40 fof(f454,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~multiply(X1,identity)=X0|~inverse(X1)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f443,f453])).
% 0.13/0.40 fof(f455,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~multiply(X1,identity)=X0|~inverse(X1)=identity|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f443,f454])).
% 0.13/0.40 fof(f456,plain,(
% 0.13/0.40 ~identity=identity|~inverse(inverse(identity))=identity|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ13_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f455,f37])).
% 0.13/0.40 fof(f465,definition,(
% 0.13/0.40 sQ37_spl <=> (identity=identity)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f467,plain,(
% 0.13/0.40 ~identity=identity|sQ37_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f465])).
% 0.13/0.40 fof(f468,definition,(
% 0.13/0.40 sQ38_spl <=> (inverse(inverse(identity))=identity)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f470,plain,(
% 0.13/0.40 ~inverse(inverse(identity))=identity|sQ38_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f468])).
% 0.13/0.40 fof(f471,plain,(
% 0.13/0.40 ~sQ37_spl|~sQ38_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f456,f465,f468,f75,f83,f87,f79,f141])).
% 0.13/0.40 fof(f478,definition,(
% 0.13/0.40 ![X0]: (sQ40_spl <=> (~X0=identity|~identity=X0))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f479,plain,(
% 0.13/0.40 ![X0]: (~X0=identity|~identity=X0|~sQ40_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f478])).
% 0.13/0.40 fof(f483,plain,(
% 0.13/0.40 $false|sQ37_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f467])).
% 0.13/0.40 fof(f484,plain,(
% 0.13/0.40 sQ37_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f483])).
% 0.13/0.40 fof(f485,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|sQ38_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f427,f470])).
% 0.13/0.40 fof(f486,plain,(
% 0.13/0.40 ~identity=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|sQ38_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f427,f485])).
% 0.13/0.40 fof(f487,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|sQ38_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f486])).
% 0.13/0.40 fof(f488,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|sQ38_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f487])).
% 0.13/0.40 fof(f489,plain,(
% 0.13/0.40 ![X0]: (~X0=identity|~sQ40_spl)),
% 0.13/0.40 inference(duplicate_literals_removal,[status(thm)],[f479])).
% 0.13/0.40 fof(f493,plain,(
% 0.13/0.40 $false|~sQ40_spl),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f37,f489])).
% 0.13/0.40 fof(f497,plain,(
% 0.13/0.40 ~sQ40_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f493])).
% 0.13/0.40 fof(f500,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f286,f73])).
% 0.13/0.40 fof(f504,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f286,f118])).
% 0.13/0.40 fof(f507,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c7|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f286,f127])).
% 0.13/0.40 fof(f510,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c7)=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f286,f39])).
% 0.13/0.40 fof(f530,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c1),sk_c7)|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f500,f162])).
% 0.13/0.40 fof(f532,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c7)|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f100,f530])).
% 0.13/0.40 fof(f533,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c3|~inverse(X0)=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ17_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f286,f196])).
% 0.13/0.40 fof(f534,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c3|~inverse(X0)=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ17_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f286,f533])).
% 0.13/0.40 fof(f535,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c7|~sQ17_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f534,f504])).
% 0.13/0.40 fof(f543,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ17_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f507,f535])).
% 0.13/0.40 fof(f544,plain,(
% 0.13/0.40 $false|~sQ17_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f543])).
% 0.13/0.40 fof(f545,plain,(
% 0.13/0.40 ~sQ17_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f544])).
% 0.13/0.40 fof(f567,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c2)=identity|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f286,f160])).
% 0.13/0.40 fof(f637,plain,(
% 0.13/0.40 ~sk_c7=sk_c8|~sQ7_spl|~sQ14_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f100,f181])).
% 0.13/0.40 fof(f638,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ14_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f286,f637])).
% 0.13/0.40 fof(f639,plain,(
% 0.13/0.40 $false|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ14_spl|~sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f638])).
% 0.13/0.40 fof(f640,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ14_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f639])).
% 0.13/0.40 fof(f656,definition,(
% 0.13/0.40 sQ43_spl <=> (sk_c6=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f657,plain,(
% 0.13/0.40 sk_c6=sk_c7|~sQ43_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f656])).
% 0.13/0.40 fof(f658,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|sQ43_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f656])).
% 0.13/0.40 fof(f691,plain,(
% 0.13/0.40 sk_c7=sk_c6|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f532,f510])).
% 0.13/0.40 fof(f695,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f532,f162])).
% 0.13/0.40 fof(f697,plain,(
% 0.13/0.40 $false|sQ43_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f691,f658])).
% 0.13/0.40 fof(f698,plain,(
% 0.13/0.40 sQ43_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f697])).
% 0.13/0.40 fof(f701,plain,(
% 0.13/0.40 sk_c7=identity|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f37,f695])).
% 0.13/0.40 fof(f716,plain,(
% 0.13/0.40 ~multiply(sk_c6,sk_c7)=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f286,f81])).
% 0.13/0.40 fof(f724,plain,(
% 0.13/0.40 multiply(identity,sk_c2)=identity|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f701,f567])).
% 0.13/0.40 fof(f728,plain,(
% 0.13/0.40 inverse(sk_c2)=identity|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f701,f507])).
% 0.13/0.40 fof(f736,plain,(
% 0.13/0.40 sk_c2=identity|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f724])).
% 0.13/0.40 fof(f744,plain,(
% 0.13/0.40 sk_c6=identity|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ43_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f701,f657])).
% 0.13/0.40 fof(f745,plain,(
% 0.13/0.40 ~multiply(identity,sk_c7)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ43_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f744,f716])).
% 0.13/0.40 fof(f746,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ7_spl|~sQ0_spl|~sQ43_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f745])).
% 0.13/0.40 fof(f747,plain,(
% 0.13/0.40 ~identity=sk_c7|~sQ7_spl|~sQ0_spl|~sQ43_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f701,f746])).
% 0.13/0.40 fof(f748,plain,(
% 0.13/0.40 ~identity=identity|~sQ7_spl|~sQ0_spl|~sQ43_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f701,f747])).
% 0.13/0.40 fof(f749,plain,(
% 0.13/0.40 $false|~sQ7_spl|~sQ0_spl|~sQ43_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f748])).
% 0.13/0.40 fof(f750,plain,(
% 0.13/0.40 ~sQ7_spl|~sQ0_spl|~sQ43_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f749])).
% 0.13/0.40 fof(f762,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f701,f148])).
% 0.13/0.40 fof(f763,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f744,f762])).
% 0.13/0.40 fof(f764,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f701,f763])).
% 0.13/0.40 fof(f850,plain,(
% 0.13/0.40 inverse(identity)=identity|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f736,f728])).
% 0.13/0.40 fof(f857,plain,(
% 0.13/0.40 ~inverse(inverse(identity))=identity|~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f764,f37])).
% 0.13/0.40 fof(f862,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f850,f857])).
% 0.13/0.40 fof(f863,plain,(
% 0.13/0.40 ~identity=identity|~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f850,f862])).
% 0.13/0.40 fof(f864,plain,(
% 0.13/0.40 $false|~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f863])).
% 0.13/0.40 fof(f865,plain,(
% 0.13/0.40 ~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f864])).
% 0.13/0.40 fof(f866,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c6|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f701,f77])).
% 0.13/0.40 fof(f867,plain,(
% 0.13/0.40 ~identity=sk_c6|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f850,f866])).
% 0.13/0.40 fof(f868,plain,(
% 0.13/0.40 ~identity=identity|~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f744,f867])).
% 0.13/0.40 fof(f869,plain,(
% 0.13/0.40 $false|~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f868])).
% 0.13/0.40 fof(f870,plain,(
% 0.13/0.40 ~sQ43_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f869])).
% 0.13/0.40 fof(f871,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f78,f82,f86,f90,f94,f98,f102,f103,f104,f105,f106,f107,f111,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f125,f129,f130,f131,f132,f133,f134,f150,f174,f177,f189,f198,f200,f214,f221,f237,f418,f471,f484,f488,f497,f545,f640,f698,f750,f865,f870])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.052896 seconds
% 0.13/0.42 % CPU time: 0.194209 seconds
% 0.13/0.42 % Total memory used: 88.662 MB
% 0.13/0.42 % Net memory used: 88.480 MB
%------------------------------------------------------------------------------