%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP357-1 : 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 : n020.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 12:36:30 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP357-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:11:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f11,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f16,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f17,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f18,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f21,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f23,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f25,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f26,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f27,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f28,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f29,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f30,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f31,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f33,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f34,negated_conjecture,(
% 0.13/0.40 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c8) != sk_c6| multiply(X3,X4) != sk_c8| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c8| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 ![X5]: ((![X2]: (((![X1]: ((((![X4]: ((![X3]: (((~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6)|~multiply(X3,X4)=sk_c8)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c8))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.40 fof(f70,definition,(
% 0.13/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f71,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c8|~sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 ~multiply(sk_c7,sk_c6)=sk_c8|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.40 fof(f73,definition,(
% 0.13/0.40 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.13/0.40 fof(f77,definition,(
% 0.13/0.40 sQ2_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c8)=sk_c7|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.40 fof(f81,definition,(
% 0.13/0.40 sQ3_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c8|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 sQ0_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.40 fof(f85,definition,(
% 0.13/0.40 sQ4_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c5)=sk_c7|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 sQ0_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.13/0.40 fof(f89,definition,(
% 0.13/0.40 sQ5_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 multiply(sk_c4,sk_c8)=sk_c5|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 sQ0_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.13/0.40 fof(f93,definition,(
% 0.13/0.40 sQ6_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c8|~sQ6_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sQ0_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.13/0.40 fof(f97,definition,(
% 0.13/0.40 sQ7_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c6|~sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.40 fof(f99,plain,(
% 0.13/0.40 ~inverse(sk_c8)=sk_c6|sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 sQ7_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 sQ7_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.13/0.40 fof(f102,plain,(
% 0.13/0.40 sQ7_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 sQ7_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.13/0.40 fof(f104,plain,(
% 0.13/0.40 sQ7_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 sQ7_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.13/0.40 fof(f106,definition,(
% 0.13/0.40 sQ8_spl <=> (multiply(sk_c1,sk_c2)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f107,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c2)=sk_c8|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.13/0.40 fof(f109,plain,(
% 0.13/0.40 sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 sQ8_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 sQ8_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 sQ8_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 sQ8_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.13/0.40 fof(f115,definition,(
% 0.13/0.40 sQ9_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c2|~sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 sQ9_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.13/0.40 fof(f119,plain,(
% 0.13/0.40 sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 sQ9_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 sQ9_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 sQ9_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 sQ9_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.13/0.40 fof(f124,definition,(
% 0.13/0.40 sQ10_spl <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c8|~sQ10_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 sQ10_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 sQ10_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.13/0.40 fof(f129,plain,(
% 0.13/0.40 sQ10_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.13/0.40 fof(f130,plain,(
% 0.13/0.40 sQ10_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 sQ10_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 sQ10_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.13/0.40 fof(f133,definition,(
% 0.13/0.40 ![X0,X1]: (sQ11_spl <=> (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f134,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ11_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.40 fof(f136,definition,(
% 0.13/0.40 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.40 fof(f139,definition,(
% 0.13/0.40 ![X3,X4]: (sQ13_spl <=> (~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f140,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)],[f139])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ7_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f69,f70,f97,f133,f73,f136,f139])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f140])).
% 0.13/0.40 fof(f154,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c3)=identity|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c4)=identity|~sQ6_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.40 fof(f158,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f157])).
% 0.13/0.40 fof(f159,plain,(
% 0.13/0.40 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ13_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f36,f143])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~sQ13_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f35,f143])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ13_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f78,f143])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ5_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f90,f143])).
% 0.13/0.40 fof(f164,definition,(
% 0.13/0.40 sQ14_spl <=> (multiply(sk_c8,identity)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 ~multiply(sk_c8,identity)=sk_c7|sQ14_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f164])).
% 0.13/0.40 fof(f167,definition,(
% 0.13/0.40 sQ15_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f169,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c8))=sk_c8|sQ15_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f167])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 ~sQ14_spl|~sQ15_spl|~sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f159,f164,f167,f139])).
% 0.13/0.40 fof(f171,definition,(
% 0.13/0.40 sQ16_spl <=> (multiply(sk_c8,sk_c8)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f173,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c8)=sk_c7|sQ16_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f171])).
% 0.13/0.40 fof(f174,definition,(
% 0.13/0.40 sQ17_spl <=> (inverse(identity)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c8|sQ17_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f174])).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 ~sQ16_spl|~sQ17_spl|~sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f160,f171,f174,f139])).
% 0.13/0.40 fof(f178,definition,(
% 0.13/0.40 sQ18_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 ~sQ18_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f161,f178,f81,f139,f77])).
% 0.13/0.40 fof(f182,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f162,f85,f93,f139,f89])).
% 0.13/0.40 fof(f184,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ11_spl)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.13/0.40 fof(f185,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~sQ0_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.13/0.40 fof(f186,plain,(
% 0.13/0.40 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ12_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f36,f137])).
% 0.13/0.40 fof(f187,plain,(
% 0.13/0.40 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ12_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f35,f137])).
% 0.13/0.40 fof(f190,definition,(
% 0.13/0.40 sQ19_spl <=> (identity=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f192,plain,(
% 0.13/0.40 ~identity=sk_c7|sQ19_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f190])).
% 0.13/0.40 fof(f193,plain,(
% 0.13/0.40 ~sQ19_spl|~sQ15_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f186,f190,f167,f136])).
% 0.13/0.40 fof(f194,definition,(
% 0.13/0.40 sQ20_spl <=> (sk_c8=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f196,plain,(
% 0.13/0.40 ~sk_c8=sk_c7|sQ20_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f194])).
% 0.13/0.40 fof(f197,plain,(
% 0.13/0.40 ~sQ20_spl|~sQ17_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f187,f194,f174,f136])).
% 0.13/0.40 fof(f202,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c8|~multiply(inverse(identity),sk_c7)=sk_c8|~sQ11_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f35,f184])).
% 0.13/0.40 fof(f205,plain,(
% 0.13/0.40 ~multiply(sk_c1,sk_c2)=sk_c8|~multiply(inverse(sk_c1),sk_c7)=sk_c8|~sQ11_spl|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f116,f184])).
% 0.13/0.40 fof(f206,definition,(
% 0.13/0.40 sQ22_spl <=> (multiply(inverse(identity),sk_c7)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f208,plain,(
% 0.13/0.40 ~multiply(inverse(identity),sk_c7)=sk_c8|sQ22_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f206])).
% 0.13/0.40 fof(f209,plain,(
% 0.13/0.40 ~sQ17_spl|~sQ22_spl|~sQ11_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f202,f174,f206,f133])).
% 0.13/0.40 fof(f217,definition,(
% 0.13/0.40 sQ25_spl <=> (multiply(inverse(sk_c1),sk_c7)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f219,plain,(
% 0.13/0.40 ~multiply(inverse(sk_c1),sk_c7)=sk_c8|sQ25_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f217])).
% 0.13/0.40 fof(f220,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ25_spl|~sQ11_spl|~sQ9_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f205,f106,f217,f133,f115])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 ~multiply(sk_c2,sk_c7)=sk_c8|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f116,f219])).
% 0.13/0.40 fof(f222,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~sQ10_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f125,f221])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 $false|~sQ10_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f222])).
% 0.13/0.40 fof(f224,plain,(
% 0.13/0.40 ~sQ10_spl|~sQ9_spl|sQ25_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f223])).
% 0.13/0.40 fof(f228,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c8,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.13/0.40 fof(f242,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c3,X0))|~sQ3_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f154,f37])).
% 0.13/0.40 fof(f243,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c8,multiply(sk_c3,X0))|~sQ3_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f242])).
% 0.13/0.40 fof(f244,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c4,X0))|~sQ6_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f155,f37])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~sQ6_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f244])).
% 0.13/0.40 fof(f291,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f78,f243])).
% 0.13/0.40 fof(f297,plain,(
% 0.13/0.40 sk_c8=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f74,f291])).
% 0.13/0.40 fof(f300,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c8,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f90,f245])).
% 0.13/0.40 fof(f306,plain,(
% 0.13/0.40 sk_c8=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f86,f300])).
% 0.13/0.40 fof(f307,plain,(
% 0.13/0.40 $false|sQ20_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f306,f196])).
% 0.13/0.40 fof(f308,plain,(
% 0.13/0.40 sQ20_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f307])).
% 0.13/0.40 fof(f315,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f228])).
% 0.13/0.40 fof(f317,plain,(
% 0.13/0.40 ~multiply(inverse(identity),sk_c7)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ22_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f208])).
% 0.13/0.40 fof(f322,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c4)=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f155])).
% 0.13/0.40 fof(f323,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c8))=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ15_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f169])).
% 0.13/0.40 fof(f325,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c3)=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f154])).
% 0.13/0.40 fof(f332,plain,(
% 0.13/0.40 ~inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f99])).
% 0.13/0.40 fof(f333,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c7)=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f74])).
% 0.13/0.40 fof(f334,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f82])).
% 0.13/0.40 fof(f335,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ17_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f297,f176])).
% 0.13/0.40 fof(f343,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c6))=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ15_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f297,f323])).
% 0.13/0.40 fof(f346,plain,(
% 0.13/0.40 sk_c7=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f306,f297])).
% 0.13/0.40 fof(f352,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f332])).
% 0.13/0.40 fof(f353,plain,(
% 0.13/0.40 ~inverse(sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f352])).
% 0.13/0.40 fof(f354,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f334])).
% 0.13/0.40 fof(f356,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ17_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f335])).
% 0.13/0.40 fof(f360,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c4)=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f322])).
% 0.13/0.40 fof(f370,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c7)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f333])).
% 0.13/0.40 fof(f371,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f370])).
% 0.13/0.40 fof(f388,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f315])).
% 0.13/0.40 fof(f389,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c7,multiply(sk_c7,X0))|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f388])).
% 0.13/0.40 fof(f393,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c4)=multiply(sk_c7,identity)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f360,f389])).
% 0.13/0.40 fof(f396,plain,(
% 0.13/0.40 identity=multiply(sk_c7,identity)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f360,f393])).
% 0.13/0.40 fof(f410,plain,(
% 0.13/0.40 ~multiply(inverse(identity),sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f317])).
% 0.13/0.40 fof(f438,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c3)=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f325])).
% 0.13/0.40 fof(f452,plain,(
% 0.13/0.40 ~multiply(sk_c7,sk_c7)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f346,f72])).
% 0.13/0.40 fof(f453,plain,(
% 0.13/0.40 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f306,f452])).
% 0.13/0.40 fof(f460,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f371,f453])).
% 0.13/0.40 fof(f461,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f460])).
% 0.13/0.40 fof(f462,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f461])).
% 0.13/0.40 fof(f507,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(identity,X0))|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f396,f37])).
% 0.13/0.40 fof(f510,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c7,multiply(identity,X0))|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f507])).
% 0.13/0.40 fof(f511,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c7,X0)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f510])).
% 0.13/0.40 fof(f514,plain,(
% 0.13/0.40 sk_c3=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f511,f438])).
% 0.13/0.40 fof(f535,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(sk_c7),X0)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f511,f158])).
% 0.13/0.40 fof(f553,plain,(
% 0.13/0.40 inverse(identity)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f514,f354])).
% 0.13/0.40 fof(f554,plain,(
% 0.13/0.40 $false|sQ17_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f553,f356])).
% 0.13/0.40 fof(f555,plain,(
% 0.13/0.40 sQ17_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f554])).
% 0.13/0.40 fof(f666,plain,(
% 0.13/0.40 sk_c7=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f36,f535])).
% 0.13/0.40 fof(f673,plain,(
% 0.13/0.40 inverse(identity)=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f666,f553])).
% 0.13/0.40 fof(f676,plain,(
% 0.13/0.40 ~inverse(sk_c7)=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f666,f353])).
% 0.13/0.40 fof(f680,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f666,f676])).
% 0.13/0.40 fof(f684,plain,(
% 0.13/0.40 ~identity=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f673,f680])).
% 0.13/0.40 fof(f685,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f684])).
% 0.13/0.40 fof(f686,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f685])).
% 0.13/0.40 fof(f687,plain,(
% 0.13/0.40 ~multiply(identity,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f673,f410])).
% 0.13/0.40 fof(f688,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f687])).
% 0.13/0.40 fof(f689,plain,(
% 0.13/0.40 ~identity=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f666,f688])).
% 0.13/0.40 fof(f690,plain,(
% 0.13/0.40 ~identity=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ22_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f666,f689])).
% 0.13/0.40 fof(f691,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ22_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f690])).
% 0.13/0.40 fof(f692,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ22_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f691])).
% 0.13/0.40 fof(f699,plain,(
% 0.13/0.40 sk_c2=multiply(inverse(sk_c1),sk_c8)|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f107,f158])).
% 0.13/0.40 fof(f701,plain,(
% 0.13/0.40 sk_c2=multiply(sk_c2,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f116,f699])).
% 0.13/0.40 fof(f733,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c2),sk_c2)|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f701,f158])).
% 0.13/0.40 fof(f736,plain,(
% 0.13/0.40 sk_c8=identity|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f733])).
% 0.13/0.40 fof(f738,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ9_spl|~sQ8_spl|sQ17_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f176])).
% 0.13/0.40 fof(f741,plain,(
% 0.13/0.40 ~multiply(identity,identity)=sk_c7|~sQ9_spl|~sQ8_spl|sQ14_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f166])).
% 0.13/0.40 fof(f742,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f185])).
% 0.13/0.40 fof(f748,plain,(
% 0.13/0.40 ~multiply(identity,sk_c7)=sk_c6|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f75])).
% 0.13/0.40 fof(f749,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=identity|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f125])).
% 0.13/0.40 fof(f751,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f71])).
% 0.13/0.40 fof(f755,plain,(
% 0.13/0.40 inverse(identity)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f98])).
% 0.13/0.40 fof(f758,plain,(
% 0.13/0.40 ~identity=sk_c7|~sQ9_spl|~sQ8_spl|sQ14_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f741])).
% 0.13/0.40 fof(f759,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f742])).
% 0.13/0.40 fof(f760,plain,(
% 0.13/0.40 ~sk_c7=sk_c6|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f748])).
% 0.13/0.40 fof(f763,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~sQ9_spl|~sQ8_spl|~sQ10_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f749,f37])).
% 0.13/0.40 fof(f764,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c7,X0))|~sQ9_spl|~sQ8_spl|~sQ10_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f763])).
% 0.13/0.40 fof(f772,plain,(
% 0.13/0.40 ~sk_c6=identity|~sQ7_spl|~sQ9_spl|~sQ8_spl|sQ17_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f755,f738])).
% 0.13/0.40 fof(f773,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c6,multiply(identity,X0))|~sQ9_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f755,f158])).
% 0.13/0.40 fof(f775,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c6,X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f773])).
% 0.13/0.40 fof(f794,plain,(
% 0.13/0.41 sk_c6=identity|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f796,f751])).
% 0.13/0.41 fof(f796,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c7,X0)|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f775,f759])).
% 0.13/0.41 fof(f799,plain,(
% 0.13/0.41 $false|sQ17_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f794,f772])).
% 0.13/0.41 fof(f800,plain,(
% 0.13/0.41 sQ17_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f799])).
% 0.13/0.41 fof(f804,plain,(
% 0.13/0.41 inverse(identity)=identity|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f794,f755])).
% 0.13/0.41 fof(f806,plain,(
% 0.13/0.41 ~sk_c7=identity|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f794,f760])).
% 0.13/0.41 fof(f814,plain,(
% 0.13/0.41 sk_c7=identity|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f817,f749])).
% 0.13/0.41 fof(f817,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c2,X0)|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f796,f764])).
% 0.13/0.41 fof(f820,plain,(
% 0.13/0.41 $false|sQ19_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f814,f192])).
% 0.13/0.41 fof(f821,plain,(
% 0.13/0.41 sQ19_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f820])).
% 0.13/0.41 fof(f823,plain,(
% 0.13/0.41 ~sQ19_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f806,f190,f97,f70,f115,f106,f73])).
% 0.13/0.41 fof(f824,plain,(
% 0.13/0.41 ~sQ19_spl|~sQ9_spl|~sQ8_spl|sQ14_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f758,f190,f115,f106,f164])).
% 0.13/0.41 fof(f900,plain,(
% 0.13/0.41 ~inverse(inverse(identity))=sk_c6|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f794,f343])).
% 0.13/0.41 fof(f901,plain,(
% 0.13/0.41 ~inverse(identity)=sk_c6|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f804,f900])).
% 0.13/0.41 fof(f902,plain,(
% 0.13/0.41 ~identity=sk_c6|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f804,f901])).
% 0.13/0.41 fof(f903,plain,(
% 0.13/0.41 ~identity=identity|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f794,f902])).
% 0.13/0.41 fof(f904,plain,(
% 0.13/0.41 $false|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ15_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f903])).
% 0.13/0.41 fof(f905,plain,(
% 0.13/0.41 ~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ15_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f904])).
% 0.13/0.41 fof(f951,plain,(
% 0.13/0.41 ~identity=sk_c7|~sQ9_spl|~sQ8_spl|sQ20_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f736,f196])).
% 0.13/0.41 fof(f967,plain,(
% 0.13/0.41 ~identity=identity|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ20_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f814,f951])).
% 0.13/0.41 fof(f968,plain,(
% 0.13/0.41 $false|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ20_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f967])).
% 0.13/0.41 fof(f969,plain,(
% 0.13/0.41 ~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ20_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f968])).
% 0.13/0.41 fof(f981,plain,(
% 0.13/0.41 ~multiply(identity,sk_c8)=sk_c7|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f736,f173])).
% 0.13/0.41 fof(f982,plain,(
% 0.13/0.41 ~sk_c8=sk_c7|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f35,f981])).
% 0.13/0.41 fof(f983,plain,(
% 0.13/0.41 ~identity=sk_c7|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f736,f982])).
% 0.13/0.41 fof(f984,plain,(
% 0.13/0.41 ~identity=identity|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f814,f983])).
% 0.13/0.41 fof(f985,plain,(
% 0.13/0.41 $false|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f984])).
% 0.13/0.41 fof(f986,plain,(
% 0.13/0.41 ~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f985])).
% 0.13/0.41 fof(f987,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f142,f170,f177,f181,f182,f193,f197,f209,f220,f224,f308,f462,f555,f686,f692,f800,f821,f823,f824,f905,f969,f986])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.055018 seconds
% 0.13/0.42 % CPU time: 0.202885 seconds
% 0.13/0.42 % Total memory used: 92.008 MB
% 0.13/0.42 % Net memory used: 91.785 MB
%------------------------------------------------------------------------------