%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP347-1 : 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 : n014.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 12:36:29 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP347-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:09:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,axiom,(
% 0.10/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f7,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f8,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f9,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f13,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f14,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f15,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f16,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f17,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f18,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f21,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f22,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f23,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f24,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f25,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f26,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f27,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f29,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f30,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f31,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f32,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f33,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f34,negated_conjecture,(
% 0.10/0.40 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| inverse(X3) != sk_c7| multiply(X3,sk_c6) != sk_c7| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(sk_c6,sk_c5) != sk_c7| inverse(sk_c6) != sk_c5| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| multiply(X2,sk_c7) != sk_c5| inverse(X2) != sk_c7 ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f35,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f36,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c6,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f39,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c6)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f40,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c4,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f43,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c4)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f44,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f45,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f46,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.40 fof(f47,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.40 fof(f49,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f50,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.40 fof(f51,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.40 fof(f52,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.40 fof(f53,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.40 fof(f54,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.40 fof(f56,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.40 fof(f60,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.40 fof(f62,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c6,sk_c5)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.40 fof(f63,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.40 fof(f66,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.40 fof(f68,plain,(
% 0.10/0.40 ![X2]: (((![X1]: (((((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X3)=sk_c7)|~multiply(X3,sk_c6)=sk_c7))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(sk_c6,sk_c5)=sk_c7)|~inverse(sk_c6)=sk_c5)|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~multiply(X2,sk_c7)=sk_c5)|~inverse(X2)=sk_c7)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.10/0.40 fof(f69,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c6)=sk_c5|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~multiply(X3,sk_c7)=sk_c5|~inverse(X3)=sk_c7)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.10/0.40 fof(f70,definition,(
% 0.10/0.40 sQ0_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f71,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c5|~sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.10/0.40 fof(f72,plain,(
% 0.10/0.40 ~multiply(sk_c6,sk_c7)=sk_c5|sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.10/0.40 fof(f73,definition,(
% 0.10/0.40 sQ1_spl <=> (multiply(sk_c6,sk_c5)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f74,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c5)=sk_c7|~sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.40 fof(f75,plain,(
% 0.10/0.40 ~multiply(sk_c6,sk_c5)=sk_c7|sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.40 fof(f76,plain,(
% 0.10/0.40 sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.10/0.40 fof(f77,definition,(
% 0.10/0.40 sQ2_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 inverse(sk_c6)=sk_c5|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.40 fof(f79,plain,(
% 0.10/0.40 ~inverse(sk_c6)=sk_c5|sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.40 fof(f80,plain,(
% 0.10/0.40 sQ0_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.10/0.40 fof(f81,definition,(
% 0.10/0.40 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f82,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.10/0.40 fof(f84,plain,(
% 0.10/0.40 sQ0_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.10/0.40 fof(f85,definition,(
% 0.10/0.40 sQ4_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f86,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c6|~sQ4_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.40 fof(f88,plain,(
% 0.10/0.40 sQ0_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.10/0.40 fof(f89,definition,(
% 0.10/0.40 sQ5_spl <=> (multiply(sk_c4,sk_c7)=sk_c5)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f90,plain,(
% 0.10/0.40 multiply(sk_c4,sk_c7)=sk_c5|~sQ5_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.40 fof(f92,plain,(
% 0.10/0.40 sQ0_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.10/0.40 fof(f93,definition,(
% 0.10/0.40 sQ6_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f94,plain,(
% 0.10/0.40 inverse(sk_c4)=sk_c7|~sQ6_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.40 fof(f96,plain,(
% 0.10/0.40 sQ0_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.10/0.40 fof(f97,definition,(
% 0.10/0.40 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f98,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.40 fof(f100,plain,(
% 0.10/0.40 sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.10/0.40 fof(f101,plain,(
% 0.10/0.40 sQ7_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.10/0.40 fof(f102,plain,(
% 0.10/0.40 sQ7_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.10/0.40 fof(f103,plain,(
% 0.10/0.40 sQ7_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.10/0.40 fof(f104,plain,(
% 0.10/0.40 sQ7_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.10/0.40 fof(f105,plain,(
% 0.10/0.40 sQ7_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.10/0.40 fof(f106,definition,(
% 0.10/0.40 sQ8_spl <=> (multiply(sk_c1,sk_c6)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f107,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c6)=sk_c7|~sQ8_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.10/0.40 fof(f109,plain,(
% 0.10/0.40 sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.10/0.40 fof(f110,plain,(
% 0.10/0.40 sQ8_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.10/0.40 fof(f111,plain,(
% 0.10/0.40 sQ8_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.10/0.40 fof(f112,plain,(
% 0.10/0.40 sQ8_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.10/0.40 fof(f113,plain,(
% 0.10/0.40 sQ8_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.10/0.40 fof(f114,plain,(
% 0.10/0.40 sQ8_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.10/0.40 fof(f115,definition,(
% 0.10/0.40 sQ9_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f116,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c6|~sQ9_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.10/0.40 fof(f118,plain,(
% 0.10/0.40 sQ9_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.10/0.40 fof(f119,plain,(
% 0.10/0.40 sQ9_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.10/0.40 fof(f120,plain,(
% 0.10/0.40 sQ9_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.10/0.40 fof(f121,plain,(
% 0.10/0.40 sQ9_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.10/0.40 fof(f122,plain,(
% 0.10/0.40 sQ9_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.10/0.40 fof(f123,plain,(
% 0.10/0.40 sQ9_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.10/0.40 fof(f124,definition,(
% 0.10/0.40 sQ10_spl <=> (multiply(sk_c2,sk_c5)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f125,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c5)=sk_c6|~sQ10_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.10/0.40 fof(f127,plain,(
% 0.10/0.40 sQ10_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.10/0.40 fof(f128,plain,(
% 0.10/0.40 sQ10_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.10/0.40 fof(f129,plain,(
% 0.10/0.40 sQ10_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.10/0.40 fof(f130,plain,(
% 0.10/0.40 sQ10_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.10/0.40 fof(f131,plain,(
% 0.10/0.40 sQ10_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.10/0.40 fof(f132,plain,(
% 0.10/0.40 sQ10_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.10/0.40 fof(f133,definition,(
% 0.10/0.40 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f134,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ11_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.10/0.40 fof(f136,definition,(
% 0.10/0.40 ![X1]: (sQ12_spl <=> (~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f137,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ12_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.40 fof(f139,definition,(
% 0.10/0.40 ![X2]: (sQ13_spl <=> (~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f140,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ13_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.10/0.40 fof(f142,definition,(
% 0.10/0.40 ![X3]: (sQ14_spl <=> (~multiply(X3,sk_c7)=sk_c5|~inverse(X3)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f143,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~sQ14_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.10/0.40 fof(f145,plain,(
% 0.10/0.40 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|~sQ2_spl|sQ13_spl|sQ14_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f77,f139,f142])).
% 0.10/0.40 fof(f148,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c5,X0))|~sQ10_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f125,f37])).
% 0.10/0.40 fof(f151,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ5_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.10/0.40 fof(f152,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~sQ3_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.10/0.40 fof(f154,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c3)=identity|~sQ4_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f86,f36])).
% 0.10/0.40 fof(f155,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c4)=identity|~sQ6_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.10/0.40 fof(f156,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c1)=identity|~sQ7_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f98,f36])).
% 0.10/0.40 fof(f157,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c2)=identity|~sQ9_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f116,f36])).
% 0.10/0.40 fof(f158,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.10/0.40 fof(f159,plain,(
% 0.10/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f158])).
% 0.10/0.40 fof(f160,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ0_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.10/0.40 fof(f161,plain,(
% 0.10/0.40 ~inverse(sk_c6)=sk_c7|~sQ14_spl|~sQ0_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f143,f71])).
% 0.10/0.40 fof(f162,plain,(
% 0.10/0.40 ~inverse(sk_c4)=sk_c7|~sQ14_spl|~sQ5_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f143,f90])).
% 0.10/0.40 fof(f168,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f94,f162])).
% 0.10/0.40 fof(f169,plain,(
% 0.10/0.40 $false|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f168])).
% 0.10/0.40 fof(f170,plain,(
% 0.10/0.40 ~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f169])).
% 0.10/0.40 fof(f171,plain,(
% 0.10/0.40 ~inverse(sk_c3)=sk_c6|~sQ13_spl|~sQ3_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f140,f82])).
% 0.10/0.40 fof(f178,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f86,f171])).
% 0.10/0.40 fof(f179,plain,(
% 0.10/0.40 $false|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f178])).
% 0.10/0.40 fof(f180,plain,(
% 0.10/0.40 ~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f179])).
% 0.10/0.40 fof(f181,plain,(
% 0.10/0.40 ~inverse(sk_c2)=sk_c6|~sQ12_spl|~sQ10_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f137,f125])).
% 0.10/0.40 fof(f182,plain,(
% 0.10/0.40 ~inverse(inverse(sk_c5))=sk_c6|~identity=sk_c6|~sQ12_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f36,f137])).
% 0.10/0.40 fof(f186,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f116,f181])).
% 0.10/0.40 fof(f187,plain,(
% 0.10/0.40 $false|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f186])).
% 0.10/0.40 fof(f188,plain,(
% 0.10/0.40 ~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f187])).
% 0.10/0.40 fof(f190,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ8_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f134,f107])).
% 0.10/0.40 fof(f196,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f190])).
% 0.10/0.40 fof(f197,plain,(
% 0.10/0.40 $false|~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f196])).
% 0.10/0.40 fof(f198,plain,(
% 0.10/0.40 ~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f197])).
% 0.10/0.40 fof(f216,definition,(
% 0.10/0.40 sQ20_spl <=> (sk_c7=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f218,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|sQ20_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f216])).
% 0.10/0.40 fof(f221,plain,(
% 0.10/0.40 $false|sQ20_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f218])).
% 0.10/0.40 fof(f222,plain,(
% 0.10/0.40 sQ20_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f221])).
% 0.10/0.40 fof(f224,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c6)=identity|~sQ2_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.10/0.40 fof(f227,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c3,X0))|~sQ4_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f154,f37])).
% 0.10/0.40 fof(f228,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c6,multiply(sk_c3,X0))|~sQ4_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f227])).
% 0.10/0.40 fof(f236,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c5)=multiply(sk_c3,sk_c7)|~sQ3_spl|~sQ1_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f74,f152])).
% 0.10/0.40 fof(f241,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c4,X0))|~sQ6_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f155,f37])).
% 0.10/0.40 fof(f242,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c4,X0))|~sQ6_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f241])).
% 0.10/0.40 fof(f249,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ2_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f224,f37])).
% 0.10/0.40 fof(f250,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c6,X0))|~sQ2_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f249])).
% 0.10/0.40 fof(f251,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ4_spl|~sQ3_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f152,f228])).
% 0.10/0.40 fof(f252,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c6,sk_c7)|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f82,f228])).
% 0.10/0.40 fof(f256,plain,(
% 0.10/0.40 ~sk_c6=sk_c5|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f252,f72])).
% 0.10/0.40 fof(f257,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f252,f152])).
% 0.10/0.40 fof(f259,plain,(
% 0.10/0.40 multiply(sk_c7,sk_c7)=sk_c7|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f82,f257])).
% 0.10/0.40 fof(f260,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c7)=multiply(sk_c4,sk_c7)|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f259,f151])).
% 0.10/0.40 fof(f262,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c7)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f90,f260])).
% 0.10/0.40 fof(f269,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c7,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f90,f242])).
% 0.10/0.40 fof(f280,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c3,sk_c7)|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f269,f236])).
% 0.10/0.40 fof(f281,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c6,sk_c7)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f280,f228])).
% 0.10/0.40 fof(f283,plain,(
% 0.10/0.40 sk_c7=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f252,f281])).
% 0.10/0.40 fof(f311,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c5,sk_c6)|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f252,f250])).
% 0.10/0.40 fof(f319,plain,(
% 0.10/0.40 sk_c7=identity|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f224,f311])).
% 0.10/0.40 fof(f322,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c5)=multiply(sk_c6,sk_c7)|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f269,f251])).
% 0.10/0.40 fof(f329,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c6,sk_c7)|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f74,f322])).
% 0.10/0.40 fof(f330,plain,(
% 0.10/0.40 sk_c7=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f252,f329])).
% 0.10/0.40 fof(f410,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c6)=sk_c5|~sQ6_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f283,f262])).
% 0.10/0.40 fof(f427,plain,(
% 0.10/0.40 identity=sk_c5|~sQ2_spl|~sQ6_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f224,f410])).
% 0.10/0.40 fof(f435,plain,(
% 0.10/0.40 ~identity=sk_c5|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f444,f256])).
% 0.10/0.40 fof(f439,plain,(
% 0.10/0.40 multiply(identity,sk_c3)=identity|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f444,f154])).
% 0.10/0.40 fof(f440,plain,(
% 0.10/0.40 inverse(sk_c3)=identity|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f444,f86])).
% 0.10/0.40 fof(f444,plain,(
% 0.10/0.40 identity=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f319,f330])).
% 0.10/0.40 fof(f450,plain,(
% 0.10/0.40 sk_c3=identity|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f439])).
% 0.10/0.40 fof(f454,plain,(
% 0.10/0.40 ~identity=identity|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f427,f435])).
% 0.10/0.40 fof(f455,plain,(
% 0.10/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f454])).
% 0.10/0.40 fof(f456,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f455])).
% 0.10/0.40 fof(f470,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f319,f134])).
% 0.10/0.40 fof(f471,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f444,f470])).
% 0.10/0.40 fof(f472,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f319,f471])).
% 0.10/0.40 fof(f491,plain,(
% 0.10/0.40 inverse(identity)=identity|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f450,f440])).
% 0.10/0.40 fof(f499,plain,(
% 0.10/0.40 ~inverse(inverse(identity))=identity|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f472,f36])).
% 0.10/0.40 fof(f505,plain,(
% 0.10/0.40 ~inverse(identity)=identity|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f491,f499])).
% 0.10/0.40 fof(f506,plain,(
% 0.10/0.40 ~identity=identity|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f491,f505])).
% 0.10/0.40 fof(f507,plain,(
% 0.10/0.40 $false|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f506])).
% 0.10/0.40 fof(f508,plain,(
% 0.10/0.40 ~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f507])).
% 0.10/0.40 fof(f512,definition,(
% 0.10/0.40 sQ21_spl <=> (inverse(inverse(sk_c5))=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f514,plain,(
% 0.10/0.40 ~inverse(inverse(sk_c5))=sk_c6|sQ21_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f512])).
% 0.10/0.40 fof(f515,definition,(
% 0.10/0.40 sQ22_spl <=> (identity=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f517,plain,(
% 0.10/0.40 ~identity=sk_c6|sQ22_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f515])).
% 0.10/0.40 fof(f518,plain,(
% 0.10/0.40 ~sQ21_spl|~sQ22_spl|~sQ12_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f182,f512,f515,f136])).
% 0.10/0.40 fof(f534,plain,(
% 0.10/0.40 ~inverse(inverse(identity))=sk_c6|~sQ2_spl|~sQ6_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f427,f514])).
% 0.10/0.40 fof(f535,plain,(
% 0.10/0.40 ~inverse(identity)=sk_c6|~sQ2_spl|~sQ6_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f491,f534])).
% 0.10/0.40 fof(f536,plain,(
% 0.10/0.40 ~identity=sk_c6|~sQ2_spl|~sQ6_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f491,f535])).
% 0.10/0.40 fof(f537,plain,(
% 0.10/0.40 ~identity=identity|~sQ2_spl|~sQ6_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f444,f536])).
% 0.10/0.40 fof(f538,plain,(
% 0.10/0.40 $false|~sQ2_spl|~sQ6_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f537])).
% 0.10/0.40 fof(f539,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ6_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ21_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f538])).
% 0.10/0.40 fof(f544,plain,(
% 0.10/0.40 ~identity=identity|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ22_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f444,f517])).
% 0.10/0.40 fof(f545,plain,(
% 0.10/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ22_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f544])).
% 0.10/0.40 fof(f546,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ22_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f545])).
% 0.10/0.40 fof(f569,plain,(
% 0.10/0.40 sk_c5=multiply(inverse(sk_c2),sk_c6)|~sQ10_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f125,f159])).
% 0.10/0.40 fof(f574,plain,(
% 0.10/0.40 sk_c6=multiply(inverse(sk_c1),sk_c7)|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f107,f159])).
% 0.10/0.40 fof(f580,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c6,sk_c6)|~sQ9_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f116,f569])).
% 0.10/0.40 fof(f582,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f574])).
% 0.10/0.40 fof(f592,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f582,f160])).
% 0.10/0.40 fof(f595,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c7)=sk_c5|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f580,f592])).
% 0.10/0.40 fof(f620,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=multiply(sk_c2,sk_c5)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f595,f148])).
% 0.10/0.40 fof(f621,plain,(
% 0.10/0.40 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f595,f159])).
% 0.10/0.40 fof(f623,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c2,sk_c5)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f71,f620])).
% 0.10/0.40 fof(f624,plain,(
% 0.10/0.40 sk_c5=sk_c6|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f125,f623])).
% 0.10/0.40 fof(f627,plain,(
% 0.10/0.40 sk_c7=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f36,f621])).
% 0.10/0.40 fof(f635,plain,(
% 0.10/0.40 ~inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ2_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f624,f79])).
% 0.10/0.40 fof(f636,plain,(
% 0.10/0.40 ~multiply(sk_c6,sk_c6)=sk_c7|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f624,f75])).
% 0.10/0.40 fof(f642,plain,(
% 0.10/0.40 sk_c6=multiply(sk_c7,identity)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f627,f582])).
% 0.10/0.40 fof(f647,plain,(
% 0.10/0.40 multiply(identity,sk_c1)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f627,f156])).
% 0.10/0.40 fof(f651,plain,(
% 0.10/0.40 inverse(sk_c1)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f627,f98])).
% 0.10/0.40 fof(f654,plain,(
% 0.10/0.40 sk_c6=multiply(identity,identity)|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f627,f642])).
% 0.10/0.40 fof(f655,plain,(
% 0.10/0.40 sk_c6=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f654])).
% 0.10/0.40 fof(f657,plain,(
% 0.10/0.40 sk_c1=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f647])).
% 0.10/0.40 fof(f659,plain,(
% 0.10/0.40 ~multiply(sk_c6,sk_c6)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f627,f636])).
% 0.10/0.40 fof(f678,plain,(
% 0.10/0.40 ~multiply(sk_c6,identity)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f655,f659])).
% 0.10/0.40 fof(f679,plain,(
% 0.10/0.40 ~inverse(sk_c6)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ2_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f655,f635])).
% 0.10/0.40 fof(f683,plain,(
% 0.10/0.40 multiply(identity,sk_c2)=identity|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f655,f157])).
% 0.10/0.40 fof(f685,plain,(
% 0.10/0.40 inverse(sk_c2)=identity|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f655,f116])).
% 0.10/0.40 fof(f688,plain,(
% 0.10/0.40 ~multiply(identity,identity)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f655,f678])).
% 0.10/0.40 fof(f689,plain,(
% 0.10/0.40 ~identity=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f688])).
% 0.10/0.40 fof(f690,plain,(
% 0.10/0.40 $false|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f689])).
% 0.10/0.40 fof(f691,plain,(
% 0.10/0.40 ~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f690])).
% 0.10/0.40 fof(f692,plain,(
% 0.10/0.40 ~inverse(identity)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ2_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f655,f679])).
% 0.10/0.40 fof(f694,plain,(
% 0.10/0.40 sk_c2=identity|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f683])).
% 0.10/0.40 fof(f702,plain,(
% 0.10/0.40 inverse(identity)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f657,f651])).
% 0.10/0.40 fof(f709,plain,(
% 0.10/0.40 inverse(identity)=identity|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f694,f685])).
% 0.10/0.40 fof(f710,plain,(
% 0.10/0.40 $false|sQ2_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f709,f692])).
% 0.10/0.40 fof(f711,plain,(
% 0.10/0.40 sQ2_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f710])).
% 0.10/0.40 fof(f751,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c6|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f655,f140])).
% 0.10/0.40 fof(f752,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c6|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f627,f751])).
% 0.10/0.40 fof(f753,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f655,f752])).
% 0.10/0.40 fof(f777,plain,(
% 0.10/0.40 ~inverse(inverse(identity))=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f753,f36])).
% 0.10/0.40 fof(f782,plain,(
% 0.10/0.40 ~inverse(identity)=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f702,f777])).
% 0.10/0.40 fof(f783,plain,(
% 0.10/0.40 ~identity=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f702,f782])).
% 0.10/0.40 fof(f784,plain,(
% 0.10/0.40 $false|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f783])).
% 0.10/0.40 fof(f785,plain,(
% 0.10/0.40 ~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ13_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f784])).
% 0.10/0.40 fof(f811,plain,(
% 0.10/0.40 ~inverse(identity)=sk_c7|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f655,f161])).
% 0.10/0.40 fof(f812,plain,(
% 0.10/0.40 ~identity=sk_c7|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f702,f811])).
% 0.10/0.40 fof(f813,plain,(
% 0.10/0.40 ~identity=identity|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f627,f812])).
% 0.10/0.40 fof(f814,plain,(
% 0.10/0.40 $false|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl|~sQ0_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f813])).
% 0.10/0.40 fof(f815,plain,(
% 0.10/0.40 ~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl|~sQ14_spl|~sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f814])).
% 0.10/0.40 fof(f816,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 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,f170,f180,f188,f198,f222,f456,f508,f518,f539,f546,f691,f711,f785,f815])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.067094 seconds
% 0.10/0.43 % CPU time: 0.185980 seconds
% 0.10/0.43 % Total memory used: 103.349 MB
% 0.10/0.43 % Net memory used: 103.126 MB
%------------------------------------------------------------------------------