%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP231-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:36:18 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 : GRP231-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:08:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f30,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f31,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f32,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f33,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,negated_conjecture,(
% 0.13/0.39 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| multiply(X4,X5) != sk_c8| inverse(X4) != X5| multiply(X5,sk_c7) != sk_c8| inverse(X6) != sk_c8| multiply(X6,sk_c7) != sk_c8| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![X3]: ((![X2]: (((![X1]: (((![X6]: (((![X5]: ((![X4]: ((~inverse(sk_c8)=sk_c7|~multiply(X4,X5)=sk_c8)|~inverse(X4)=X5))|~multiply(X5,sk_c7)=sk_c8))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c7)=sk_c8))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.39 fof(f70,definition,(
% 0.13/0.39 sQ0_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|~sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c7|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.39 fof(f73,definition,(
% 0.13/0.39 sQ1_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c8|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.13/0.39 fof(f77,definition,(
% 0.13/0.39 sQ2_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.39 fof(f81,definition,(
% 0.13/0.39 sQ3_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c6)=sk_c7|~sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 sQ0_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.39 fof(f85,definition,(
% 0.13/0.39 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c8)=sk_c6|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 sQ0_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.13/0.39 fof(f89,definition,(
% 0.13/0.39 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 sQ0_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.13/0.39 fof(f93,definition,(
% 0.13/0.39 sQ6_spl <=> (multiply(sk_c1,sk_c2)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 sQ6_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 sQ6_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 sQ6_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.13/0.39 fof(f99,plain,(
% 0.13/0.39 sQ6_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 sQ6_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.13/0.39 fof(f101,definition,(
% 0.13/0.39 sQ7_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f102,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 sQ7_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.13/0.39 fof(f105,plain,(
% 0.13/0.39 sQ7_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 sQ7_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 sQ7_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.13/0.39 fof(f108,plain,(
% 0.13/0.39 sQ7_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.13/0.39 fof(f109,definition,(
% 0.13/0.39 sQ8_spl <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 sQ8_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 sQ8_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.13/0.39 fof(f114,plain,(
% 0.13/0.39 sQ8_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.13/0.39 fof(f115,plain,(
% 0.13/0.39 sQ8_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 sQ8_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.13/0.39 fof(f117,definition,(
% 0.13/0.39 sQ9_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f118,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|~sQ9_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.39 fof(f120,plain,(
% 0.13/0.39 sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.13/0.39 fof(f121,plain,(
% 0.13/0.39 sQ9_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 sQ9_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 sQ9_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 sQ9_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.13/0.39 fof(f125,definition,(
% 0.13/0.39 sQ10_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f126,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|~sQ10_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 sQ10_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 sQ10_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 sQ10_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.13/0.39 fof(f131,plain,(
% 0.13/0.39 sQ10_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 sQ10_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.13/0.39 fof(f133,definition,(
% 0.13/0.39 ![X0,X1]: (sQ11_spl <=> (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ11_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.39 fof(f136,definition,(
% 0.13/0.39 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ12_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.39 fof(f139,definition,(
% 0.13/0.39 ![X4,X5]: (sQ13_spl <=> (~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.39 fof(f142,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ12_spl|sQ13_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f139])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f140])).
% 0.13/0.39 fof(f170,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f86,f143])).
% 0.13/0.39 fof(f171,plain,(
% 0.13/0.39 ~sQ3_spl|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f170,f81,f89,f139,f85])).
% 0.13/0.39 fof(f173,plain,(
% 0.13/0.39 ~inverse(sk_c3)=sk_c8|~sQ12_spl|~sQ10_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f137,f126])).
% 0.13/0.39 fof(f174,plain,(
% 0.13/0.39 ~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ2_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f137,f78])).
% 0.13/0.39 fof(f180,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f118,f173])).
% 0.13/0.39 fof(f181,plain,(
% 0.13/0.39 $false|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f180])).
% 0.13/0.39 fof(f182,plain,(
% 0.13/0.39 ~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f181])).
% 0.13/0.39 fof(f183,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ11_spl)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.13/0.39 fof(f185,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c8)=identity|~sQ0_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.13/0.39 fof(f188,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c5)=identity|~sQ5_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f90,f36])).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.39 fof(f190,plain,(
% 0.13/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f35,f189])).
% 0.13/0.39 fof(f209,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f190])).
% 0.13/0.39 fof(f212,plain,(
% 0.13/0.39 sk_c2=multiply(inverse(sk_c1),sk_c8)|~sQ6_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f94,f190])).
% 0.13/0.39 fof(f218,plain,(
% 0.13/0.39 sk_c5=multiply(inverse(sk_c8),identity)|~sQ5_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f188,f190])).
% 0.13/0.39 fof(f221,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f86,f190])).
% 0.13/0.39 fof(f224,plain,(
% 0.13/0.39 sk_c2=multiply(sk_c2,sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f102,f212])).
% 0.13/0.39 fof(f227,plain,(
% 0.13/0.39 sk_c5=multiply(sk_c7,identity)|~sQ0_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f71,f218])).
% 0.13/0.39 fof(f230,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c8,sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f90,f221])).
% 0.13/0.39 fof(f239,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c2),sk_c2)|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f224,f190])).
% 0.13/0.39 fof(f242,plain,(
% 0.13/0.39 sk_c8=identity|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f36,f239])).
% 0.13/0.39 fof(f243,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ7_spl|~sQ6_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f242,f209])).
% 0.13/0.39 fof(f248,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ7_spl|~sQ6_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f242,f36])).
% 0.13/0.39 fof(f249,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,X0)=X0|~sQ7_spl|~sQ6_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f242,f35])).
% 0.13/0.39 fof(f250,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c7,X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f71,f243])).
% 0.13/0.39 fof(f262,plain,(
% 0.13/0.39 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c2,sk_c7)=sk_c8|~sQ11_spl|~sQ7_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f102,f183])).
% 0.13/0.39 fof(f272,definition,(
% 0.13/0.39 sQ16_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f274,plain,(
% 0.13/0.39 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|sQ16_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f272])).
% 0.13/0.39 fof(f275,plain,(
% 0.13/0.39 ~sQ16_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f262,f272,f109,f133,f101])).
% 0.13/0.39 fof(f288,plain,(
% 0.13/0.39 ~multiply(sk_c1,sk_c2)=sk_c8|~sQ7_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f102,f274])).
% 0.13/0.39 fof(f289,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~sQ6_spl|~sQ7_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f94,f288])).
% 0.13/0.39 fof(f290,plain,(
% 0.13/0.39 $false|~sQ6_spl|~sQ7_spl|sQ16_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f289])).
% 0.13/0.39 fof(f291,plain,(
% 0.13/0.39 ~sQ6_spl|~sQ7_spl|sQ16_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f290])).
% 0.13/0.39 fof(f293,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ13_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f249,f143])).
% 0.13/0.39 fof(f297,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c3)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f118,f248])).
% 0.13/0.39 fof(f301,plain,(
% 0.13/0.39 sk_c3=sk_c8|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f249,f297])).
% 0.13/0.39 fof(f304,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|~inverse(sk_c7)=sk_c8|~sQ13_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f250,f293])).
% 0.13/0.39 fof(f305,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ13_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f248,f293])).
% 0.13/0.39 fof(f308,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|~inverse(sk_c8)=sk_c8|~sQ13_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f249,f293])).
% 0.13/0.39 fof(f310,definition,(
% 0.13/0.39 sQ20_spl <=> (sk_c8=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f311,plain,(
% 0.13/0.39 sk_c8=sk_c7|~sQ20_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f310])).
% 0.13/0.39 fof(f312,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|sQ20_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f310])).
% 0.13/0.39 fof(f313,definition,(
% 0.13/0.39 sQ21_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f316,plain,(
% 0.13/0.39 ~sQ20_spl|~sQ21_spl|~sQ13_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f304,f310,f313,f139,f70,f101,f93])).
% 0.13/0.39 fof(f317,definition,(
% 0.13/0.39 sQ22_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f320,plain,(
% 0.13/0.39 ~sQ20_spl|~sQ22_spl|~sQ13_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f305,f310,f317,f139,f101,f93])).
% 0.13/0.39 fof(f328,definition,(
% 0.13/0.39 sQ25_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f330,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c8|sQ25_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f328])).
% 0.13/0.39 fof(f331,plain,(
% 0.13/0.39 ~sQ20_spl|~sQ25_spl|~sQ13_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f308,f310,f328,f139,f101,f93])).
% 0.13/0.39 fof(f339,plain,(
% 0.13/0.39 sk_c3=identity|~sQ9_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f301,f242])).
% 0.13/0.39 fof(f344,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c3|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f301,f126])).
% 0.13/0.39 fof(f362,plain,(
% 0.13/0.39 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ2_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f78,f190])).
% 0.13/0.39 fof(f364,plain,(
% 0.13/0.39 sk_c7=multiply(sk_c8,sk_c8)|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f74,f362])).
% 0.13/0.39 fof(f369,plain,(
% 0.13/0.39 sk_c8=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f82,f230])).
% 0.13/0.39 fof(f370,plain,(
% 0.13/0.39 $false|sQ20_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f369,f312])).
% 0.13/0.39 fof(f371,plain,(
% 0.13/0.39 sQ20_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f370])).
% 0.13/0.39 fof(f376,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f369,f90])).
% 0.13/0.39 fof(f380,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f369,f74])).
% 0.13/0.39 fof(f403,plain,(
% 0.13/0.39 sk_c7=multiply(sk_c7,sk_c8)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f369,f364])).
% 0.13/0.39 fof(f404,plain,(
% 0.13/0.39 sk_c7=multiply(sk_c7,sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f369,f403])).
% 0.13/0.39 fof(f415,plain,(
% 0.13/0.39 inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f369,f71])).
% 0.13/0.39 fof(f416,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c7)=identity|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f369,f185])).
% 0.13/0.39 fof(f422,plain,(
% 0.13/0.39 ~sk_c7=sk_c8|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f380,f174])).
% 0.13/0.39 fof(f423,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f369,f422])).
% 0.13/0.39 fof(f424,plain,(
% 0.13/0.39 $false|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f423])).
% 0.13/0.39 fof(f425,plain,(
% 0.13/0.39 ~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f424])).
% 0.13/0.39 fof(f429,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f369,f183])).
% 0.13/0.39 fof(f430,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f369,f429])).
% 0.13/0.39 fof(f448,plain,(
% 0.13/0.39 sk_c7=multiply(inverse(sk_c7),identity)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f416,f190])).
% 0.13/0.40 fof(f450,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,identity)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f415,f448])).
% 0.13/0.40 fof(f451,plain,(
% 0.13/0.40 sk_c7=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f227,f450])).
% 0.13/0.40 fof(f458,plain,(
% 0.13/0.40 inverse(sk_c7)=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f451,f415])).
% 0.13/0.40 fof(f467,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f451,f458])).
% 0.13/0.40 fof(f470,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c5|~multiply(inverse(X0),sk_c7)=sk_c7|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f451,f430])).
% 0.13/0.40 fof(f471,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c5|~multiply(inverse(X0),sk_c5)=sk_c7|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f451,f470])).
% 0.13/0.40 fof(f472,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c5|~multiply(inverse(X0),sk_c5)=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f451,f471])).
% 0.13/0.40 fof(f473,plain,(
% 0.13/0.40 ~multiply(identity,inverse(identity))=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f472,f209])).
% 0.13/0.40 fof(f477,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f473])).
% 0.13/0.40 fof(f481,definition,(
% 0.13/0.40 sQ30_spl <=> (sk_c5=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f483,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|sQ30_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f481])).
% 0.13/0.40 fof(f512,plain,(
% 0.13/0.40 sk_c5=multiply(sk_c7,sk_c7)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f451,f404])).
% 0.13/0.40 fof(f513,plain,(
% 0.13/0.40 sk_c5=multiply(sk_c5,sk_c7)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f451,f512])).
% 0.13/0.40 fof(f514,plain,(
% 0.13/0.40 sk_c5=multiply(sk_c5,sk_c5)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f451,f513])).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f514,f190])).
% 0.13/0.40 fof(f517,plain,(
% 0.13/0.40 sk_c5=identity|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f515])).
% 0.13/0.40 fof(f519,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f517,f477])).
% 0.13/0.40 fof(f522,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f467,f519])).
% 0.13/0.40 fof(f523,plain,(
% 0.13/0.40 $false|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f522])).
% 0.13/0.40 fof(f524,plain,(
% 0.13/0.40 ~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f523])).
% 0.13/0.40 fof(f525,plain,(
% 0.13/0.40 $false|sQ30_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f483])).
% 0.13/0.40 fof(f526,plain,(
% 0.13/0.40 sQ30_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f525])).
% 0.13/0.40 fof(f537,plain,(
% 0.13/0.40 ~sk_c3=sk_c7|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ20_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f301,f312])).
% 0.13/0.40 fof(f540,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f301,f71])).
% 0.13/0.40 fof(f547,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f301,f330])).
% 0.13/0.40 fof(f548,plain,(
% 0.13/0.40 ~sk_c7=sk_c8|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f540,f547])).
% 0.13/0.40 fof(f549,plain,(
% 0.13/0.40 ~sk_c7=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f301,f548])).
% 0.13/0.40 fof(f595,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c3,X0)=X0|~sQ9_spl|~sQ7_spl|~sQ6_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f339,f35])).
% 0.13/0.40 fof(f609,plain,(
% 0.13/0.40 sk_c7=sk_c8|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f595,f126])).
% 0.13/0.40 fof(f610,plain,(
% 0.13/0.40 sk_c7=sk_c3|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f301,f609])).
% 0.13/0.40 fof(f627,plain,(
% 0.13/0.40 sk_c7=sk_c3|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f595,f344])).
% 0.13/0.40 fof(f628,plain,(
% 0.13/0.40 $false|sQ20_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f627,f537])).
% 0.13/0.40 fof(f629,plain,(
% 0.13/0.40 sQ20_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f628])).
% 0.13/0.40 fof(f647,plain,(
% 0.13/0.40 ~sk_c3=sk_c3|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f610,f549])).
% 0.13/0.40 fof(f648,plain,(
% 0.13/0.40 $false|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f647])).
% 0.13/0.40 fof(f649,plain,(
% 0.13/0.40 ~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f648])).
% 0.13/0.40 fof(f654,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c7|~sQ20_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f311,f82])).
% 0.13/0.40 fof(f664,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c7|~sQ20_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f311,f72])).
% 0.13/0.40 fof(f679,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ20_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f311,f364])).
% 0.13/0.40 fof(f680,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c7)|~sQ20_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f311,f679])).
% 0.13/0.40 fof(f681,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ20_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f680,f190])).
% 0.13/0.40 fof(f683,plain,(
% 0.13/0.40 sk_c7=identity|~sQ20_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f681])).
% 0.13/0.40 fof(f684,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ20_spl|~sQ1_spl|~sQ2_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f683,f36])).
% 0.13/0.40 fof(f686,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ20_spl|~sQ1_spl|~sQ2_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f683,f35])).
% 0.13/0.40 fof(f693,plain,(
% 0.13/0.40 sk_c6=sk_c7|~sQ1_spl|~sQ2_spl|~sQ20_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f686,f654])).
% 0.13/0.40 fof(f698,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ3_spl|~sQ20_spl|~sQ1_spl|~sQ2_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f693,f686])).
% 0.13/0.40 fof(f703,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f693,f376])).
% 0.13/0.40 fof(f704,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c6|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f693,f380])).
% 0.13/0.40 fof(f724,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ3_spl|~sQ20_spl|~sQ1_spl|~sQ2_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f693,f684])).
% 0.13/0.40 fof(f725,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c4)=sk_c6|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f704,f724])).
% 0.13/0.40 fof(f726,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c5)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f703,f724])).
% 0.13/0.40 fof(f729,plain,(
% 0.13/0.40 sk_c4=sk_c6|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f698,f725])).
% 0.13/0.40 fof(f730,plain,(
% 0.13/0.40 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f698,f726])).
% 0.13/0.40 fof(f739,plain,(
% 0.13/0.40 inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f729,f704])).
% 0.13/0.40 fof(f742,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c7|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ20_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f693,f664])).
% 0.13/0.40 fof(f743,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ20_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f693,f742])).
% 0.13/0.40 fof(f766,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c6|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f730,f739])).
% 0.13/0.40 fof(f767,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ20_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f730,f766])).
% 0.13/0.40 fof(f770,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ20_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f730,f743])).
% 0.13/0.40 fof(f771,plain,(
% 0.13/0.40 ~sk_c5=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ20_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f767,f770])).
% 0.13/0.40 fof(f772,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ20_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f730,f771])).
% 0.13/0.40 fof(f773,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ20_spl|sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f772])).
% 0.13/0.40 fof(f774,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ20_spl|sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f773])).
% 0.13/0.40 fof(f775,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f142,f171,f182,f275,f291,f316,f320,f331,f371,f425,f524,f526,f629,f649,f774])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.055121 seconds
% 0.13/0.42 % CPU time: 0.209988 seconds
% 0.13/0.42 % Total memory used: 104.431 MB
% 0.13/0.42 % Net memory used: 104.221 MB
%------------------------------------------------------------------------------