%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP328-1 : 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 : n005.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 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP328-1 : 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 : n005.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 20:09:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f16,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f20,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f23,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f25,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f27,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f28,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f30,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f31,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f32,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f33,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f34,negated_conjecture,(
% 0.14/0.41 (![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| multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c8) != sk_c6| multiply(sk_c8,X1) != sk_c7| multiply(X2,sk_c8) != X1| inverse(X2) != sk_c8 ) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f35,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.41 fof(f36,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f37,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f38,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c7,sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.41 fof(f39,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.41 fof(f40,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.41 fof(f41,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.41 fof(f42,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.41 fof(f44,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.41 fof(f45,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.41 fof(f46,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.41 fof(f47,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.41 fof(f49,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.41 fof(f51,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.41 fof(f53,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.41 fof(f54,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.41 fof(f55,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.41 fof(f56,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c7,sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.41 fof(f59,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.41 fof(f60,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.41 fof(f62,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.41 fof(f63,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.41 fof(f66,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.41 fof(f67,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 ![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))|~multiply(sk_c7,sk_c6)=sk_c8)|~inverse(sk_c8)=sk_c6)|~multiply(sk_c8,X1)=sk_c7)|~multiply(X2,sk_c8)=X1))|~inverse(X2)=sk_c8)),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 ![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|~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.41 fof(f70,definition,(
% 0.14/0.41 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f71,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.41 fof(f73,definition,(
% 0.14/0.41 sQ1_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c6)=sk_c8|sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 sQ0_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.41 fof(f77,definition,(
% 0.14/0.41 sQ2_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|~sQ2_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.41 fof(f79,plain,(
% 0.14/0.41 ~inverse(sk_c8)=sk_c6|sQ2_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.41 fof(f80,plain,(
% 0.14/0.41 sQ0_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/0.41 fof(f81,definition,(
% 0.14/0.41 sQ3_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c5)=sk_c7|~sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 sQ0_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/0.41 fof(f85,definition,(
% 0.14/0.41 sQ4_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c8)=sk_c5|~sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.41 fof(f88,plain,(
% 0.14/0.41 sQ0_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.14/0.41 fof(f89,definition,(
% 0.14/0.41 sQ5_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f90,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c8|~sQ5_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 sQ0_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.14/0.41 fof(f93,definition,(
% 0.14/0.41 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|~sQ6_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 sQ6_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.14/0.41 fof(f97,plain,(
% 0.14/0.41 sQ6_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 sQ6_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.14/0.41 fof(f99,plain,(
% 0.14/0.41 sQ6_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 sQ6_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.14/0.41 fof(f101,definition,(
% 0.14/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f102,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.41 sQ7_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.14/0.41 fof(f105,plain,(
% 0.14/0.41 sQ7_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.14/0.41 fof(f106,plain,(
% 0.14/0.41 sQ7_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.14/0.41 fof(f107,plain,(
% 0.14/0.41 sQ7_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 sQ7_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.14/0.41 fof(f109,definition,(
% 0.14/0.41 sQ8_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f110,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|~sQ8_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 sQ8_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 sQ8_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 sQ8_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.14/0.41 fof(f115,plain,(
% 0.14/0.41 sQ8_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 sQ8_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.14/0.41 fof(f117,definition,(
% 0.14/0.41 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f118,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|~sQ9_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.41 fof(f120,plain,(
% 0.14/0.41 sQ9_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.14/0.41 fof(f121,plain,(
% 0.14/0.41 sQ9_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 sQ9_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.14/0.41 fof(f123,plain,(
% 0.14/0.41 sQ9_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.14/0.41 fof(f124,plain,(
% 0.14/0.41 sQ9_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.14/0.41 fof(f125,definition,(
% 0.14/0.41 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f126,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 sQ10_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.14/0.41 fof(f129,plain,(
% 0.14/0.41 sQ10_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.14/0.41 fof(f130,plain,(
% 0.14/0.41 sQ10_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.14/0.41 fof(f131,plain,(
% 0.14/0.41 sQ10_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 sQ10_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.14/0.41 fof(f133,definition,(
% 0.14/0.41 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f134,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.41 fof(f136,definition,(
% 0.14/0.41 ![X1,X2]: (sQ12_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f137,plain,(
% 0.14/0.41 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ12_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.41 fof(f139,plain,(
% 0.14/0.41 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f77])).
% 0.14/0.41 fof(f140,plain,(
% 0.14/0.41 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.14/0.41 fof(f146,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~sQ3_spl)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.14/0.41 fof(f169,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f118,f140])).
% 0.14/0.41 fof(f170,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ4_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f86,f140])).
% 0.14/0.41 fof(f171,plain,(
% 0.14/0.41 ~sQ8_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f169,f109,f125,f136,f117])).
% 0.14/0.41 fof(f172,plain,(
% 0.14/0.41 ~sQ3_spl|~sQ5_spl|~sQ12_spl|~sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f170,f81,f89,f136,f85])).
% 0.14/0.41 fof(f173,plain,(
% 0.14/0.41 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ6_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f134,f94])).
% 0.14/0.41 fof(f176,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f102,f173])).
% 0.14/0.41 fof(f177,plain,(
% 0.14/0.41 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f176])).
% 0.14/0.41 fof(f178,plain,(
% 0.14/0.41 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f177])).
% 0.14/0.41 fof(f180,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c1)=identity|~sQ7_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f102,f36])).
% 0.14/0.41 fof(f181,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.14/0.41 fof(f183,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.41 fof(f184,plain,(
% 0.14/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f183])).
% 0.14/0.41 fof(f203,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f35,f184])).
% 0.14/0.41 fof(f207,plain,(
% 0.14/0.41 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ6_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f94,f184])).
% 0.14/0.41 fof(f209,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f118,f184])).
% 0.14/0.41 fof(f213,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c4),sk_c5)|~sQ4_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f86,f184])).
% 0.14/0.41 fof(f216,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c7,sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f102,f207])).
% 0.14/0.41 fof(f217,plain,(
% 0.14/0.41 sk_c7=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f71,f216])).
% 0.14/0.41 fof(f219,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f126,f209])).
% 0.14/0.41 fof(f220,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c5)|~sQ5_spl|~sQ4_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f90,f213])).
% 0.14/0.41 fof(f222,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c1)=identity|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f217,f180])).
% 0.14/0.41 fof(f223,plain,(
% 0.14/0.41 ~multiply(sk_c6,sk_c6)=sk_c8|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f217,f75])).
% 0.14/0.41 fof(f224,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c8)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f217,f71])).
% 0.14/0.41 fof(f229,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f217,f110])).
% 0.14/0.41 fof(f230,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c6|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f217,f102])).
% 0.14/0.41 fof(f240,plain,(
% 0.14/0.41 sk_c3=multiply(inverse(sk_c8),sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f219,f184])).
% 0.14/0.41 fof(f243,plain,(
% 0.14/0.41 sk_c3=identity|~sQ10_spl|~sQ9_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f36,f240])).
% 0.14/0.41 fof(f246,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c2)=sk_c3|~sQ9_spl|~sQ10_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f243,f181])).
% 0.14/0.41 fof(f247,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ10_spl|~sQ9_spl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f243,f36])).
% 0.14/0.41 fof(f248,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c3,X0)=X0|~sQ10_spl|~sQ9_spl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f243,f35])).
% 0.14/0.41 fof(f257,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c1)=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f243,f222])).
% 0.14/0.41 fof(f264,plain,(
% 0.14/0.41 sk_c8=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f229,f219])).
% 0.14/0.41 fof(f269,plain,(
% 0.14/0.41 sk_c8=sk_c7|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f220,f82])).
% 0.14/0.41 fof(f272,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c6)=sk_c8|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f269,f74])).
% 0.14/0.41 fof(f273,plain,(
% 0.14/0.41 sk_c6=multiply(inverse(sk_c8),sk_c8)|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f272,f184])).
% 0.14/0.41 fof(f275,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c6,sk_c8)|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f78,f273])).
% 0.14/0.41 fof(f279,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c8)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f269,f72])).
% 0.14/0.41 fof(f280,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f184,f203])).
% 0.14/0.41 fof(f302,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f269,f146])).
% 0.14/0.41 fof(f304,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c5,X0)=multiply(inverse(sk_c8),multiply(sk_c8,X0))|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f302,f184])).
% 0.14/0.41 fof(f307,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f184,f304])).
% 0.14/0.41 fof(f315,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c8)=identity|~sQ2_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.14/0.41 fof(f320,plain,(
% 0.14/0.41 sk_c6=identity|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f275,f315])).
% 0.14/0.41 fof(f322,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f320,f36])).
% 0.14/0.41 fof(f324,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f320,f280])).
% 0.14/0.41 fof(f326,plain,(
% 0.14/0.41 sk_c6=sk_c8|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f324,f275])).
% 0.14/0.41 fof(f329,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f326,f279])).
% 0.14/0.41 fof(f334,plain,(
% 0.14/0.41 sk_c6=sk_c7|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f326,f269])).
% 0.14/0.41 fof(f335,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c6,sk_c5)|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f326,f220])).
% 0.14/0.41 fof(f337,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c6|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f326,f90])).
% 0.14/0.41 fof(f338,plain,(
% 0.14/0.41 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f326,f329])).
% 0.14/0.41 fof(f339,plain,(
% 0.14/0.41 ~sk_c6=sk_c6|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f324,f338])).
% 0.14/0.41 fof(f340,plain,(
% 0.14/0.41 $false|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f339])).
% 0.14/0.41 fof(f341,plain,(
% 0.14/0.41 ~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f340])).
% 0.14/0.41 fof(f344,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c6,sk_c5)|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f326,f335])).
% 0.14/0.41 fof(f345,plain,(
% 0.14/0.41 sk_c6=sk_c5|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f324,f344])).
% 0.14/0.41 fof(f354,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ11_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f326,f134])).
% 0.14/0.41 fof(f356,definition,(
% 0.14/0.41 sQ13_spl <=> (sk_c8=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f358,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|sQ13_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f356])).
% 0.14/0.41 fof(f360,plain,(
% 0.14/0.41 sk_c5=sk_c7|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f345,f334])).
% 0.14/0.41 fof(f369,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c5|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f345,f337])).
% 0.14/0.41 fof(f370,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c5,multiply(sk_c4,X0))|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f369,f184])).
% 0.14/0.41 fof(f371,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c4,X0)|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f307,f370])).
% 0.14/0.41 fof(f373,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f345,f322])).
% 0.14/0.41 fof(f374,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c4)=sk_c5|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f369,f373])).
% 0.14/0.41 fof(f378,plain,(
% 0.14/0.41 sk_c4=sk_c5|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f307,f374])).
% 0.14/0.41 fof(f389,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f378,f369])).
% 0.14/0.41 fof(f394,plain,(
% 0.14/0.41 sk_c4=sk_c7|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f378,f360])).
% 0.14/0.41 fof(f395,plain,(
% 0.14/0.41 sk_c6=sk_c4|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f378,f345])).
% 0.14/0.41 fof(f399,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c6|~inverse(X0)=sk_c7|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ11_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f394,f354])).
% 0.14/0.41 fof(f400,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c7|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ11_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f395,f399])).
% 0.14/0.41 fof(f401,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ11_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f394,f400])).
% 0.14/0.41 fof(f403,plain,(
% 0.14/0.41 ~inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ11_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f371,f401])).
% 0.14/0.41 fof(f407,definition,(
% 0.14/0.41 sQ14_spl <=> (sk_c4=sk_c4)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f409,plain,(
% 0.14/0.41 ~sk_c4=sk_c4|sQ14_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f407])).
% 0.14/0.41 fof(f414,plain,(
% 0.14/0.41 $false|sQ14_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f409])).
% 0.14/0.41 fof(f415,plain,(
% 0.14/0.41 sQ14_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f414])).
% 0.14/0.41 fof(f418,plain,(
% 0.14/0.41 ~sk_c4=sk_c4|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ11_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f389,f403])).
% 0.14/0.41 fof(f419,plain,(
% 0.14/0.41 $false|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ11_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f418])).
% 0.14/0.41 fof(f420,plain,(
% 0.14/0.41 ~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ11_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f419])).
% 0.14/0.41 fof(f421,plain,(
% 0.14/0.41 $false|sQ13_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f358])).
% 0.14/0.41 fof(f422,plain,(
% 0.14/0.41 sQ13_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f421])).
% 0.14/0.41 fof(f444,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c2)=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f264,f246])).
% 0.14/0.41 fof(f462,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c6)=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f264,f224])).
% 0.14/0.41 fof(f463,plain,(
% 0.14/0.41 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f462,f184])).
% 0.14/0.41 fof(f465,plain,(
% 0.14/0.41 sk_c6=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f247,f463])).
% 0.14/0.41 fof(f470,plain,(
% 0.14/0.41 ~sk_c6=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f462,f223])).
% 0.14/0.41 fof(f471,plain,(
% 0.14/0.41 ~sk_c6=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f264,f470])).
% 0.14/0.41 fof(f472,plain,(
% 0.14/0.41 $false|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f471])).
% 0.14/0.41 fof(f473,plain,(
% 0.14/0.41 ~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f472])).
% 0.14/0.41 fof(f489,plain,(
% 0.14/0.41 ~inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f264,f79])).
% 0.14/0.41 fof(f492,plain,(
% 0.14/0.41 multiply(sk_c3,sk_c1)=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f465,f257])).
% 0.14/0.41 fof(f493,plain,(
% 0.14/0.41 multiply(sk_c3,sk_c2)=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f465,f444])).
% 0.14/0.41 fof(f495,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f465,f230])).
% 0.14/0.41 fof(f503,plain,(
% 0.14/0.41 sk_c1=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f248,f492])).
% 0.14/0.41 fof(f504,plain,(
% 0.14/0.41 sk_c2=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f248,f493])).
% 0.14/0.41 fof(f506,plain,(
% 0.14/0.41 sk_c1=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f504,f503])).
% 0.14/0.41 fof(f507,plain,(
% 0.14/0.41 sk_c6=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f504,f465])).
% 0.14/0.41 fof(f518,plain,(
% 0.14/0.41 ~inverse(sk_c2)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f507,f489])).
% 0.14/0.41 fof(f519,plain,(
% 0.14/0.41 ~inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f507,f518])).
% 0.14/0.41 fof(f520,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f506,f495])).
% 0.14/0.41 fof(f521,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f504,f520])).
% 0.14/0.41 fof(f522,plain,(
% 0.14/0.41 $false|sQ2_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f521,f519])).
% 0.14/0.41 fof(f523,plain,(
% 0.14/0.41 sQ2_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f522])).
% 0.14/0.41 fof(f524,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 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,f139,f171,f172,f178,f341,f415,f420,f422,f473,f523])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.064084 seconds
% 0.14/0.43 % CPU time: 0.197401 seconds
% 0.14/0.43 % Total memory used: 103.732 MB
% 0.14/0.43 % Net memory used: 103.521 MB
%------------------------------------------------------------------------------