%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP316-1 : 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 : n003.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 12:36:26 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP316-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.54 % Computer : n003.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Sun Sep 20 20:10:45 UTC 2026
% 0.11/0.55 % CPUTime :
% 0.11/0.56 % Drodi V4.1.1
% 0.15/0.58 % Refutation found
% 0.15/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.58 fof(f1,axiom,(
% 0.15/0.58 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f2,axiom,(
% 0.15/0.58 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f3,axiom,(
% 0.15/0.58 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f4,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f5,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f6,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f7,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f8,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f9,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f10,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f11,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f12,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f13,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f14,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f15,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f16,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c1) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f17,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f18,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f19,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f20,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f21,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f22,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f23,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f24,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f25,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f26,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f27,negated_conjecture,(
% 0.15/0.58 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f28,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f29,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f30,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f31,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f32,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f33,negated_conjecture,(
% 0.15/0.58 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f34,negated_conjecture,(
% 0.15/0.58 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(X4,sk_c7) != sk_c6| inverse(X4) != sk_c7| multiply(sk_c6,sk_c8) != sk_c7| multiply(sk_c8,X1) != sk_c7| multiply(X2,sk_c8) != X1| inverse(X2) != sk_c8| multiply(X5,sk_c6) != sk_c8| inverse(X5) != sk_c6 ) ))),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f35,plain,(
% 0.15/0.58 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.58 fof(f36,plain,(
% 0.15/0.58 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.58 fof(f37,plain,(
% 0.15/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.58 fof(f38,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c6,sk_c8)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.58 fof(f39,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c4)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.58 fof(f40,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c4),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.58 fof(f41,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.58 fof(f42,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c5,sk_c6)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.58 fof(f43,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.58 fof(f44,plain,(
% 0.15/0.58 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.58 fof(f45,plain,(
% 0.15/0.58 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c4)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.58 fof(f46,plain,(
% 0.15/0.58 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c8)=sk_c4),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.58 fof(f47,plain,(
% 0.15/0.58 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.58 fof(f48,plain,(
% 0.15/0.58 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.58 fof(f49,plain,(
% 0.15/0.58 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.58 fof(f50,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.58 fof(f51,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c4)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.58 fof(f52,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c8)=sk_c4),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.58 fof(f53,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.58 fof(f54,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f20])).
% 0.15/0.58 fof(f55,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.58 fof(f56,plain,(
% 0.15/0.58 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c6,sk_c8)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.58 fof(f57,plain,(
% 0.15/0.58 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c8,sk_c4)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/0.58 fof(f58,plain,(
% 0.15/0.58 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c3,sk_c8)=sk_c4),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/0.58 fof(f59,plain,(
% 0.15/0.58 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.58 fof(f60,plain,(
% 0.15/0.58 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/0.58 fof(f61,plain,(
% 0.15/0.58 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.58 fof(f62,plain,(
% 0.15/0.58 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.58 fof(f63,plain,(
% 0.15/0.58 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c4)=sk_c7),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.58 fof(f64,plain,(
% 0.15/0.58 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c4),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.58 fof(f65,plain,(
% 0.15/0.58 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.58 fof(f66,plain,(
% 0.15/0.58 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.58 fof(f67,plain,(
% 0.15/0.58 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.58 fof(f68,plain,(
% 0.15/0.58 ![X5]: (((![X2]: ((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(X4,sk_c7)=sk_c6)|~inverse(X4)=sk_c7))|~multiply(sk_c6,sk_c8)=sk_c7)|~multiply(sk_c8,X1)=sk_c7)|~multiply(X2,sk_c8)=X1))|~inverse(X2)=sk_c8))|~multiply(X5,sk_c6)=sk_c8)|~inverse(X5)=sk_c6)),
% 0.15/0.58 inference(miniscoping,[status(thm)],[f34])).
% 0.15/0.58 fof(f69,plain,(
% 0.15/0.58 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~multiply(sk_c6,sk_c8)=sk_c7|~multiply(sk_c8,X2)=sk_c7|~multiply(X3,sk_c8)=X2|~inverse(X3)=sk_c8|~multiply(X4,sk_c6)=sk_c8|~inverse(X4)=sk_c6)),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f68])).
% 0.15/0.58 fof(f70,definition,(
% 0.15/0.58 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f71,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f70])).
% 0.15/0.58 fof(f72,plain,(
% 0.15/0.58 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f70])).
% 0.15/0.58 fof(f73,definition,(
% 0.15/0.58 sQ1_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f74,plain,(
% 0.15/0.58 multiply(sk_c6,sk_c8)=sk_c7|~sQ1_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.58 fof(f75,plain,(
% 0.15/0.58 ~multiply(sk_c6,sk_c8)=sk_c7|sQ1_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.58 fof(f76,plain,(
% 0.15/0.58 sQ0_spl|sQ1_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.15/0.58 fof(f77,definition,(
% 0.15/0.58 sQ2_spl <=> (multiply(sk_c8,sk_c4)=sk_c7)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f78,plain,(
% 0.15/0.58 multiply(sk_c8,sk_c4)=sk_c7|~sQ2_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f77])).
% 0.15/0.58 fof(f80,plain,(
% 0.15/0.58 sQ0_spl|sQ2_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.15/0.58 fof(f81,definition,(
% 0.15/0.58 sQ3_spl <=> (multiply(sk_c3,sk_c8)=sk_c4)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f82,plain,(
% 0.15/0.58 multiply(sk_c3,sk_c8)=sk_c4|~sQ3_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f81])).
% 0.15/0.58 fof(f84,plain,(
% 0.15/0.58 sQ0_spl|sQ3_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.15/0.58 fof(f85,definition,(
% 0.15/0.58 sQ4_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f86,plain,(
% 0.15/0.58 inverse(sk_c3)=sk_c8|~sQ4_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f85])).
% 0.15/0.58 fof(f88,plain,(
% 0.15/0.58 sQ0_spl|sQ4_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.15/0.58 fof(f89,definition,(
% 0.15/0.58 sQ5_spl <=> (multiply(sk_c5,sk_c6)=sk_c8)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f90,plain,(
% 0.15/0.58 multiply(sk_c5,sk_c6)=sk_c8|~sQ5_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f89])).
% 0.15/0.58 fof(f92,plain,(
% 0.15/0.58 sQ0_spl|sQ5_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.15/0.58 fof(f93,definition,(
% 0.15/0.58 sQ6_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f94,plain,(
% 0.15/0.58 inverse(sk_c5)=sk_c6|~sQ6_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f93])).
% 0.15/0.58 fof(f96,plain,(
% 0.15/0.58 sQ0_spl|sQ6_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.15/0.58 fof(f97,definition,(
% 0.15/0.58 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f98,plain,(
% 0.15/0.58 multiply(sk_c1,sk_c8)=sk_c7|~sQ7_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f97])).
% 0.15/0.58 fof(f100,plain,(
% 0.15/0.58 sQ7_spl|sQ1_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.15/0.58 fof(f101,plain,(
% 0.15/0.58 sQ7_spl|sQ2_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.15/0.58 fof(f102,plain,(
% 0.15/0.58 sQ7_spl|sQ3_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.15/0.58 fof(f103,plain,(
% 0.15/0.58 sQ7_spl|sQ4_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.15/0.58 fof(f104,plain,(
% 0.15/0.58 sQ7_spl|sQ5_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.15/0.58 fof(f105,plain,(
% 0.15/0.58 sQ7_spl|sQ6_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.15/0.58 fof(f106,definition,(
% 0.15/0.58 sQ8_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f107,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c8|~sQ8_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f106])).
% 0.15/0.58 fof(f109,plain,(
% 0.15/0.58 sQ8_spl|sQ1_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.15/0.58 fof(f110,plain,(
% 0.15/0.58 sQ8_spl|sQ2_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.15/0.58 fof(f111,plain,(
% 0.15/0.58 sQ8_spl|sQ3_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.15/0.58 fof(f112,plain,(
% 0.15/0.58 sQ8_spl|sQ4_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.15/0.58 fof(f113,plain,(
% 0.15/0.58 sQ8_spl|sQ5_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.15/0.58 fof(f114,plain,(
% 0.15/0.58 sQ8_spl|sQ6_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.15/0.58 fof(f115,definition,(
% 0.15/0.58 sQ9_spl <=> (multiply(sk_c2,sk_c7)=sk_c6)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f116,plain,(
% 0.15/0.58 multiply(sk_c2,sk_c7)=sk_c6|~sQ9_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f115])).
% 0.15/0.58 fof(f118,plain,(
% 0.15/0.58 sQ9_spl|sQ1_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.15/0.58 fof(f119,plain,(
% 0.15/0.58 sQ9_spl|sQ2_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.15/0.58 fof(f120,plain,(
% 0.15/0.58 sQ9_spl|sQ3_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.15/0.58 fof(f121,plain,(
% 0.15/0.58 sQ9_spl|sQ4_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.15/0.58 fof(f122,plain,(
% 0.15/0.58 sQ9_spl|sQ5_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.15/0.58 fof(f123,plain,(
% 0.15/0.58 sQ9_spl|sQ6_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.15/0.58 fof(f124,definition,(
% 0.15/0.58 sQ10_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f125,plain,(
% 0.15/0.58 inverse(sk_c2)=sk_c7|~sQ10_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f124])).
% 0.15/0.58 fof(f127,plain,(
% 0.15/0.58 sQ10_spl|sQ1_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.15/0.58 fof(f128,plain,(
% 0.15/0.58 sQ10_spl|sQ2_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.15/0.58 fof(f129,plain,(
% 0.15/0.58 sQ10_spl|sQ3_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.15/0.58 fof(f130,plain,(
% 0.15/0.58 sQ10_spl|sQ4_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.15/0.58 fof(f131,plain,(
% 0.15/0.58 sQ10_spl|sQ5_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.15/0.58 fof(f132,plain,(
% 0.15/0.58 sQ10_spl|sQ6_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.15/0.58 fof(f133,definition,(
% 0.15/0.58 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f134,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.15/0.58 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.58 fof(f136,definition,(
% 0.15/0.58 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7))),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f137,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.15/0.58 inference(component_clause,[status(thm)],[f136])).
% 0.15/0.58 fof(f139,definition,(
% 0.15/0.58 ![X2,X3]: (sQ13_spl <=> (~multiply(sk_c8,X2)=sk_c7|~multiply(X3,sk_c8)=X2|~inverse(X3)=sk_c8))),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f140,plain,(
% 0.15/0.58 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.15/0.58 inference(component_clause,[status(thm)],[f139])).
% 0.15/0.58 fof(f142,definition,(
% 0.15/0.58 ![X4]: (sQ14_spl <=> (~multiply(X4,sk_c6)=sk_c8|~inverse(X4)=sk_c6))),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f143,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c6)=sk_c8|~inverse(X0)=sk_c6|~sQ14_spl)),
% 0.15/0.58 inference(component_clause,[status(thm)],[f142])).
% 0.15/0.58 fof(f145,plain,(
% 0.15/0.58 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.15/0.58 fof(f146,plain,(
% 0.15/0.58 ~inverse(sk_c5)=sk_c6|~sQ14_spl|~sQ5_spl),
% 0.15/0.58 inference(resolution,[status(thm)],[f143,f90])).
% 0.15/0.58 fof(f148,plain,(
% 0.15/0.58 ~sk_c6=sk_c6|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f94,f146])).
% 0.15/0.58 fof(f149,plain,(
% 0.15/0.58 $false|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.15/0.58 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.15/0.58 fof(f150,plain,(
% 0.15/0.58 ~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f149])).
% 0.15/0.58 fof(f151,plain,(
% 0.15/0.58 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.15/0.58 inference(destructive_equality_resolution,[status(thm)],[f140])).
% 0.15/0.58 fof(f152,plain,(
% 0.15/0.58 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ9_spl),
% 0.15/0.58 inference(resolution,[status(thm)],[f137,f116])).
% 0.15/0.58 fof(f154,plain,(
% 0.15/0.58 ~sk_c7=sk_c7|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f125,f152])).
% 0.15/0.58 fof(f155,plain,(
% 0.15/0.58 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.15/0.58 inference(trivial_equality_resolution,[status(thm)],[f154])).
% 0.15/0.58 fof(f156,plain,(
% 0.15/0.58 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f155])).
% 0.15/0.58 fof(f167,plain,(
% 0.15/0.58 ~multiply(sk_c8,sk_c4)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f82,f151])).
% 0.15/0.58 fof(f168,plain,(
% 0.15/0.58 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ13_spl|~sQ7_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f98,f151])).
% 0.15/0.58 fof(f169,definition,(
% 0.15/0.58 sQ15_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f171,plain,(
% 0.15/0.58 ~multiply(sk_c8,sk_c7)=sk_c7|sQ15_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f169])).
% 0.15/0.58 fof(f176,plain,(
% 0.15/0.58 ~sQ2_spl|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f167,f77,f85,f139,f81])).
% 0.15/0.58 fof(f177,plain,(
% 0.15/0.58 ~sQ15_spl|~sQ8_spl|~sQ13_spl|~sQ7_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f168,f169,f106,f139,f97])).
% 0.15/0.58 fof(f181,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c2)=identity|~sQ10_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.15/0.58 fof(f182,plain,(
% 0.15/0.58 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.15/0.58 fof(f183,plain,(
% 0.15/0.58 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f35,f182])).
% 0.15/0.58 fof(f202,plain,(
% 0.15/0.58 sk_c8=multiply(inverse(sk_c3),sk_c4)|~sQ3_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f82,f183])).
% 0.15/0.58 fof(f203,plain,(
% 0.15/0.58 sk_c6=multiply(inverse(sk_c5),sk_c8)|~sQ5_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f90,f183])).
% 0.15/0.58 fof(f205,plain,(
% 0.15/0.58 sk_c8=multiply(sk_c8,sk_c4)|~sQ4_spl|~sQ3_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f86,f202])).
% 0.15/0.58 fof(f206,plain,(
% 0.15/0.58 sk_c6=multiply(sk_c6,sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f94,f203])).
% 0.15/0.58 fof(f214,plain,(
% 0.15/0.58 sk_c8=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f205,f78])).
% 0.15/0.58 fof(f215,plain,(
% 0.15/0.58 sk_c4=multiply(inverse(sk_c8),sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f205,f183])).
% 0.15/0.58 fof(f217,plain,(
% 0.15/0.58 sk_c4=identity|~sQ4_spl|~sQ3_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f36,f215])).
% 0.15/0.58 fof(f220,plain,(
% 0.15/0.58 multiply(sk_c6,sk_c8)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f214,f74])).
% 0.15/0.58 fof(f227,plain,(
% 0.15/0.58 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ4_spl|~sQ3_spl)),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f217,f36])).
% 0.15/0.58 fof(f228,plain,(
% 0.15/0.58 ![X0]: (multiply(sk_c4,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f217,f35])).
% 0.15/0.58 fof(f234,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f214,f134])).
% 0.15/0.58 fof(f237,plain,(
% 0.15/0.58 ~sk_c8=sk_c8|~inverse(sk_c4)=sk_c8|~sQ2_spl|~sQ11_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f228,f234])).
% 0.15/0.58 fof(f239,plain,(
% 0.15/0.58 ~sk_c4=sk_c8|~inverse(sk_c3)=sk_c8|~sQ4_spl|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f82,f234])).
% 0.15/0.58 fof(f240,definition,(
% 0.15/0.58 sQ17_spl <=> (sk_c6=sk_c8)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f242,plain,(
% 0.15/0.58 ~sk_c6=sk_c8|sQ17_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f240])).
% 0.15/0.58 fof(f244,definition,(
% 0.15/0.58 sQ18_spl <=> (sk_c8=sk_c8)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f246,plain,(
% 0.15/0.58 ~sk_c8=sk_c8|sQ18_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f244])).
% 0.15/0.58 fof(f247,definition,(
% 0.15/0.58 sQ19_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f250,plain,(
% 0.15/0.58 ~sQ18_spl|~sQ19_spl|~sQ2_spl|~sQ11_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f237,f244,f247,f77,f133,f85,f81])).
% 0.15/0.58 fof(f251,definition,(
% 0.15/0.58 sQ20_spl <=> (sk_c4=sk_c8)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f253,plain,(
% 0.15/0.58 ~sk_c4=sk_c8|sQ20_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f251])).
% 0.15/0.58 fof(f254,plain,(
% 0.15/0.58 ~sQ20_spl|~sQ4_spl|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f239,f251,f85,f77,f133,f81])).
% 0.15/0.58 fof(f255,plain,(
% 0.15/0.58 ~multiply(sk_c8,sk_c8)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f214,f72])).
% 0.15/0.58 fof(f256,plain,(
% 0.15/0.58 sk_c6=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f263,f206])).
% 0.15/0.58 fof(f258,plain,(
% 0.15/0.58 sk_c6=sk_c7|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f263,f214])).
% 0.15/0.58 fof(f261,plain,(
% 0.15/0.58 multiply(sk_c5,sk_c6)=sk_c6|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f263,f90])).
% 0.15/0.58 fof(f263,plain,(
% 0.15/0.58 sk_c6=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f206,f220])).
% 0.15/0.58 fof(f292,plain,(
% 0.15/0.58 ~multiply(sk_c6,sk_c8)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f263,f255])).
% 0.15/0.58 fof(f293,plain,(
% 0.15/0.58 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f263,f292])).
% 0.15/0.58 fof(f294,plain,(
% 0.15/0.58 $false|sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.58 inference(forward_subsumption_resolution,[status(thm)],[f256,f293])).
% 0.15/0.58 fof(f295,plain,(
% 0.15/0.58 sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f294])).
% 0.15/0.58 fof(f297,plain,(
% 0.15/0.58 ~sk_c4=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ20_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f263,f253])).
% 0.15/0.58 fof(f298,plain,(
% 0.15/0.58 ~sk_c6=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ18_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f263,f246])).
% 0.15/0.58 fof(f299,plain,(
% 0.15/0.58 ~sk_c6=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ18_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f263,f298])).
% 0.15/0.58 fof(f300,plain,(
% 0.15/0.58 $false|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ18_spl),
% 0.15/0.58 inference(trivial_equality_resolution,[status(thm)],[f299])).
% 0.15/0.58 fof(f301,plain,(
% 0.15/0.58 ~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ18_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f300])).
% 0.15/0.58 fof(f302,plain,(
% 0.15/0.58 multiply(sk_c6,sk_c8)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f258,f71])).
% 0.15/0.58 fof(f303,plain,(
% 0.15/0.58 multiply(sk_c6,sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f263,f302])).
% 0.15/0.58 fof(f304,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ12_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f258,f137])).
% 0.15/0.58 fof(f305,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ12_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f258,f304])).
% 0.15/0.58 fof(f315,plain,(
% 0.15/0.58 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f303,f183])).
% 0.15/0.58 fof(f317,plain,(
% 0.15/0.58 sk_c6=sk_c4|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f227,f315])).
% 0.15/0.58 fof(f322,plain,(
% 0.15/0.58 ~sk_c6=sk_c6|~inverse(sk_c5)=sk_c6|~sQ12_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f261,f305])).
% 0.15/0.58 fof(f330,definition,(
% 0.15/0.58 sQ21_spl <=> (sk_c6=sk_c6)),
% 0.15/0.58 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.15/0.58 fof(f332,plain,(
% 0.15/0.58 ~sk_c6=sk_c6|sQ21_spl),
% 0.15/0.58 inference(component_clause,[status(thm)],[f330])).
% 0.15/0.58 fof(f333,plain,(
% 0.15/0.58 ~sQ21_spl|~sQ6_spl|~sQ12_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f322,f330,f93,f136,f85,f81,f77,f73,f89])).
% 0.15/0.58 fof(f386,plain,(
% 0.15/0.58 ~sk_c4=sk_c4|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ20_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f317,f297])).
% 0.15/0.58 fof(f387,plain,(
% 0.15/0.58 $false|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ20_spl),
% 0.15/0.58 inference(trivial_equality_resolution,[status(thm)],[f386])).
% 0.15/0.58 fof(f388,plain,(
% 0.15/0.58 ~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ20_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f387])).
% 0.15/0.58 fof(f389,plain,(
% 0.15/0.58 $false|sQ21_spl),
% 0.15/0.58 inference(trivial_equality_resolution,[status(thm)],[f332])).
% 0.15/0.58 fof(f390,plain,(
% 0.15/0.58 sQ21_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f389])).
% 0.15/0.58 fof(f396,plain,(
% 0.15/0.58 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ0_spl)),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.15/0.58 fof(f400,plain,(
% 0.15/0.58 multiply(sk_c8,sk_c1)=identity|~sQ8_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f107,f36])).
% 0.15/0.58 fof(f405,plain,(
% 0.15/0.58 sk_c7=multiply(inverse(sk_c2),sk_c6)|~sQ9_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f116,f183])).
% 0.15/0.58 fof(f407,plain,(
% 0.15/0.58 sk_c7=multiply(sk_c7,sk_c6)|~sQ10_spl|~sQ9_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f125,f405])).
% 0.15/0.58 fof(f408,plain,(
% 0.15/0.58 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ7_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f98,f183])).
% 0.15/0.58 fof(f410,plain,(
% 0.15/0.58 sk_c8=multiply(sk_c8,sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f107,f408])).
% 0.15/0.58 fof(f426,plain,(
% 0.15/0.58 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f407,f183])).
% 0.15/0.58 fof(f428,plain,(
% 0.15/0.58 sk_c6=identity|~sQ10_spl|~sQ9_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f36,f426])).
% 0.15/0.58 fof(f430,plain,(
% 0.15/0.58 multiply(sk_c8,sk_c1)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f428,f400])).
% 0.15/0.58 fof(f431,plain,(
% 0.15/0.58 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ10_spl|~sQ9_spl)),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f428,f36])).
% 0.15/0.58 fof(f432,plain,(
% 0.15/0.58 multiply(sk_c7,sk_c2)=sk_c6|~sQ9_spl|~sQ10_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f428,f181])).
% 0.15/0.58 fof(f433,plain,(
% 0.15/0.58 ![X0]: (multiply(sk_c6,X0)=X0|~sQ10_spl|~sQ9_spl)),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f428,f35])).
% 0.15/0.58 fof(f434,plain,(
% 0.15/0.58 ~sk_c8=sk_c7|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f433,f75])).
% 0.15/0.58 fof(f437,plain,(
% 0.15/0.58 ~sk_c8=sk_c7|~sQ8_spl|~sQ7_spl|sQ15_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f410,f171])).
% 0.15/0.58 fof(f457,plain,(
% 0.15/0.58 ![X0]: (X0=multiply(sk_c7,multiply(sk_c8,X0))|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f433,f396])).
% 0.15/0.58 fof(f459,plain,(
% 0.15/0.58 sk_c7=multiply(sk_c7,sk_c8)|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f410,f457])).
% 0.15/0.58 fof(f462,plain,(
% 0.15/0.58 sk_c7=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f71,f459])).
% 0.15/0.58 fof(f472,plain,(
% 0.15/0.58 ![X0]: (X0=multiply(sk_c6,multiply(sk_c8,X0))|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f462,f457])).
% 0.15/0.58 fof(f474,plain,(
% 0.15/0.58 ~sk_c8=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f462,f434])).
% 0.15/0.58 fof(f480,plain,(
% 0.15/0.58 multiply(sk_c6,sk_c8)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f462,f71])).
% 0.15/0.58 fof(f483,plain,(
% 0.15/0.58 ![X0]: (X0=multiply(sk_c8,X0)|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f433,f472])).
% 0.15/0.58 fof(f486,plain,(
% 0.15/0.58 sk_c8=sk_c6|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f433,f480])).
% 0.15/0.58 fof(f487,plain,(
% 0.15/0.58 $false|sQ17_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.15/0.58 inference(forward_subsumption_resolution,[status(thm)],[f486,f242])).
% 0.15/0.58 fof(f488,plain,(
% 0.15/0.58 sQ17_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f487])).
% 0.15/0.58 fof(f489,plain,(
% 0.15/0.58 ~sQ17_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.15/0.58 inference(split_clause,[status(thm)],[f474,f240,f70,f106,f97,f124,f115,f73])).
% 0.15/0.58 fof(f490,plain,(
% 0.15/0.58 ~sk_c8=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ15_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f462,f437])).
% 0.15/0.58 fof(f498,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f462,f134])).
% 0.15/0.58 fof(f499,plain,(
% 0.15/0.58 multiply(sk_c6,sk_c1)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f486,f430])).
% 0.15/0.58 fof(f502,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f486,f107])).
% 0.15/0.58 fof(f506,plain,(
% 0.15/0.58 sk_c1=sk_c6|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f433,f499])).
% 0.15/0.58 fof(f507,plain,(
% 0.15/0.58 ~sk_c6=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ15_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f486,f490])).
% 0.15/0.58 fof(f508,plain,(
% 0.15/0.58 $false|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ15_spl),
% 0.15/0.58 inference(trivial_equality_resolution,[status(thm)],[f507])).
% 0.15/0.58 fof(f509,plain,(
% 0.15/0.58 ~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ15_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f508])).
% 0.15/0.58 fof(f523,plain,(
% 0.15/0.58 sk_c8=sk_c1|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f506,f486])).
% 0.15/0.58 fof(f524,plain,(
% 0.15/0.58 sk_c7=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f506,f462])).
% 0.15/0.58 fof(f525,plain,(
% 0.15/0.58 ![X0]: (multiply(inverse(X0),X0)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl)),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f506,f431])).
% 0.15/0.58 fof(f552,plain,(
% 0.15/0.58 ![X0]: (X0=multiply(sk_c1,X0)|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f523,f483])).
% 0.15/0.58 fof(f556,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f506,f502])).
% 0.15/0.58 fof(f559,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c1)=sk_c6|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f523,f498])).
% 0.15/0.58 fof(f560,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f506,f559])).
% 0.15/0.58 fof(f561,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f523,f560])).
% 0.15/0.58 fof(f562,plain,(
% 0.15/0.58 ~inverse(sk_c1)=sk_c1|~sQ11_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.15/0.58 inference(resolution,[status(thm)],[f561,f552])).
% 0.15/0.58 fof(f567,plain,(
% 0.15/0.58 ~sk_c1=sk_c1|~sQ11_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f556,f562])).
% 0.15/0.58 fof(f568,plain,(
% 0.15/0.58 $false|~sQ11_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.15/0.58 inference(trivial_equality_resolution,[status(thm)],[f567])).
% 0.15/0.58 fof(f569,plain,(
% 0.15/0.58 ~sQ11_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f568])).
% 0.15/0.58 fof(f572,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c1)=sk_c8|~inverse(X0)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f506,f143])).
% 0.15/0.58 fof(f573,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f523,f572])).
% 0.15/0.58 fof(f574,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f506,f573])).
% 0.15/0.58 fof(f576,plain,(
% 0.15/0.58 multiply(sk_c1,sk_c2)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f524,f432])).
% 0.15/0.58 fof(f577,plain,(
% 0.15/0.58 sk_c1=sk_c2|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f578,f506])).
% 0.15/0.58 fof(f578,plain,(
% 0.15/0.58 sk_c2=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f552,f576])).
% 0.15/0.58 fof(f581,plain,(
% 0.15/0.58 inverse(sk_c1)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl),
% 0.15/0.58 inference(backward_demodulation,[status(thm)],[f577,f556])).
% 0.15/0.58 fof(f588,plain,(
% 0.15/0.58 inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f577,f581])).
% 0.15/0.58 fof(f595,plain,(
% 0.15/0.58 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f577,f525])).
% 0.15/0.58 fof(f628,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c2)=sk_c1|~inverse(X0)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f577,f574])).
% 0.15/0.58 fof(f629,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f577,f628])).
% 0.15/0.58 fof(f630,plain,(
% 0.15/0.58 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f577,f629])).
% 0.15/0.58 fof(f631,plain,(
% 0.15/0.58 ~inverse(inverse(sk_c2))=sk_c2|~sQ14_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.15/0.58 inference(resolution,[status(thm)],[f630,f595])).
% 0.15/0.58 fof(f640,plain,(
% 0.15/0.58 ~inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f588,f631])).
% 0.15/0.58 fof(f641,plain,(
% 0.15/0.58 ~sk_c2=sk_c2|~sQ14_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f588,f640])).
% 0.15/0.58 fof(f642,plain,(
% 0.15/0.58 $false|~sQ14_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.15/0.58 inference(trivial_equality_resolution,[status(thm)],[f641])).
% 0.15/0.58 fof(f643,plain,(
% 0.15/0.58 ~sQ14_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f642])).
% 0.15/0.58 fof(f644,plain,(
% 0.15/0.58 $false),
% 0.15/0.58 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f150,f156,f176,f177,f250,f254,f295,f301,f333,f388,f390,f488,f489,f509,f569,f643])).
% 0.15/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.60 % Elapsed time: 0.047632 seconds
% 0.15/0.60 % CPU time: 0.134761 seconds
% 0.15/0.60 % Total memory used: 67.869 MB
% 0.15/0.60 % Net memory used: 67.742 MB
%------------------------------------------------------------------------------