%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP295-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:24 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP295-1 : 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 : n005.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 20:08:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f2,axiom,(
% 0.13/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f3,axiom,(
% 0.13/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f4,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f5,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f6,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f9,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f10,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f11,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f12,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f13,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f14,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f15,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f16,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f17,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f18,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f19,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f20,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f21,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f22,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f23,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f24,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f25,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f26,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f27,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f28,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f29,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f30,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f31,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f32,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f33,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f34,negated_conjecture,(
% 0.13/0.41 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(X4,sk_c7) != sk_c5| inverse(X4) != sk_c7| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f35,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.41 fof(f36,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.41 fof(f37,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.41 fof(f38,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.41 fof(f39,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.41 fof(f40,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.41 fof(f43,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.41 fof(f44,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.41 fof(f45,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.41 fof(f46,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.41 fof(f47,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.41 fof(f48,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.41 fof(f49,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.41 fof(f50,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.41 fof(f51,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.41 fof(f52,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.41 fof(f53,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.41 fof(f54,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.41 fof(f55,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.41 fof(f56,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.41 fof(f57,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.41 fof(f58,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.41 fof(f59,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.41 fof(f60,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.41 fof(f61,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.41 fof(f62,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.41 fof(f63,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.41 fof(f64,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.41 fof(f65,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.41 fof(f66,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.41 fof(f67,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.41 fof(f68,plain,(
% 0.13/0.41 ![X2]: (((![X1]: ((((![X4]: ((((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(X4,sk_c7)=sk_c5)|~inverse(X4)=sk_c7))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.41 fof(f69,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.41 fof(f70,definition,(
% 0.13/0.41 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f71,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.41 fof(f72,plain,(
% 0.13/0.41 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.41 fof(f73,definition,(
% 0.13/0.41 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f74,plain,(
% 0.13/0.41 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.41 fof(f75,plain,(
% 0.13/0.41 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.41 fof(f76,plain,(
% 0.13/0.41 sQ0_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.13/0.41 fof(f77,definition,(
% 0.13/0.41 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f78,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.41 fof(f80,plain,(
% 0.13/0.41 sQ0_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.41 fof(f81,definition,(
% 0.13/0.41 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f82,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.41 fof(f84,plain,(
% 0.13/0.41 sQ0_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.41 fof(f85,definition,(
% 0.13/0.41 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f86,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.41 fof(f87,plain,(
% 0.13/0.41 ~inverse(sk_c4)=sk_c6|sQ4_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.41 fof(f89,definition,(
% 0.13/0.41 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f90,plain,(
% 0.13/0.41 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.41 fof(f93,definition,(
% 0.13/0.41 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f94,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.41 fof(f96,plain,(
% 0.13/0.41 sQ6_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.13/0.41 fof(f97,plain,(
% 0.13/0.41 sQ6_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.13/0.41 fof(f98,plain,(
% 0.13/0.41 sQ6_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.13/0.41 fof(f99,plain,(
% 0.13/0.41 sQ6_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.13/0.41 fof(f100,plain,(
% 0.13/0.41 sQ6_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.13/0.41 fof(f101,definition,(
% 0.13/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f102,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.41 fof(f103,plain,(
% 0.13/0.41 ~inverse(sk_c1)=sk_c7|sQ7_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.41 fof(f104,plain,(
% 0.13/0.41 sQ7_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.13/0.41 fof(f105,plain,(
% 0.13/0.41 sQ7_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.13/0.41 fof(f106,plain,(
% 0.13/0.41 sQ7_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.13/0.41 fof(f107,plain,(
% 0.13/0.41 sQ7_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.13/0.41 fof(f108,plain,(
% 0.13/0.41 sQ7_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.13/0.41 fof(f109,definition,(
% 0.13/0.41 sQ8_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f110,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c5)=sk_c6|~sQ8_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.41 fof(f111,plain,(
% 0.13/0.41 ~multiply(sk_c7,sk_c5)=sk_c6|sQ8_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.41 fof(f112,plain,(
% 0.13/0.41 sQ8_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.13/0.41 fof(f113,plain,(
% 0.13/0.41 sQ8_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.13/0.41 fof(f114,plain,(
% 0.13/0.41 sQ8_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.13/0.41 fof(f115,plain,(
% 0.13/0.41 sQ8_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.13/0.41 fof(f116,plain,(
% 0.13/0.41 sQ8_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.13/0.41 fof(f117,definition,(
% 0.13/0.41 sQ9_spl <=> (multiply(sk_c2,sk_c7)=sk_c5)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f118,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c7)=sk_c5|~sQ9_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.41 fof(f120,plain,(
% 0.13/0.41 sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.13/0.41 fof(f121,plain,(
% 0.13/0.41 sQ9_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.13/0.41 fof(f122,plain,(
% 0.13/0.41 sQ9_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.13/0.41 fof(f123,plain,(
% 0.13/0.41 sQ9_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.13/0.41 fof(f124,plain,(
% 0.13/0.41 sQ9_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.13/0.41 fof(f125,definition,(
% 0.13/0.41 sQ10_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f126,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c7|~sQ10_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.41 fof(f128,plain,(
% 0.13/0.41 sQ10_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.13/0.41 fof(f129,plain,(
% 0.13/0.41 sQ10_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.13/0.41 fof(f130,plain,(
% 0.13/0.41 sQ10_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.13/0.41 fof(f131,plain,(
% 0.13/0.41 sQ10_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.13/0.41 fof(f132,plain,(
% 0.13/0.41 sQ10_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.13/0.41 fof(f133,definition,(
% 0.13/0.41 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f134,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.41 fof(f136,definition,(
% 0.13/0.41 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f137,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.41 fof(f139,definition,(
% 0.13/0.41 ![X2]: (sQ13_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f140,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ13_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.41 fof(f142,definition,(
% 0.13/0.41 ![X3]: (sQ14_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f143,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ14_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.41 fof(f145,plain,(
% 0.13/0.41 ~sQ0_spl|sQ11_spl|~sQ8_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f69,f70,f133,f109,f136,f73,f139,f142])).
% 0.13/0.41 fof(f146,plain,(
% 0.13/0.41 ~inverse(sk_c4)=sk_c6|~sQ14_spl|~sQ5_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f143,f90])).
% 0.13/0.41 fof(f148,plain,(
% 0.13/0.41 ~sk_c6=sk_c6|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.13/0.41 fof(f149,plain,(
% 0.13/0.41 $false|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.13/0.41 fof(f150,plain,(
% 0.13/0.41 ~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f149])).
% 0.13/0.41 fof(f151,plain,(
% 0.13/0.41 ~inverse(sk_c3)=sk_c7|~sQ13_spl|~sQ3_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f140,f82])).
% 0.13/0.41 fof(f152,plain,(
% 0.13/0.41 ~inverse(sk_c7)=sk_c7|~sk_c5=sk_c7|~sQ13_spl|~sQ0_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.13/0.41 fof(f154,plain,(
% 0.13/0.41 ~sk_c7=sk_c7|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f78,f151])).
% 0.13/0.41 fof(f155,plain,(
% 0.13/0.41 $false|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f154])).
% 0.13/0.41 fof(f156,plain,(
% 0.13/0.41 ~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f155])).
% 0.13/0.41 fof(f157,plain,(
% 0.13/0.41 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ9_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f137,f118])).
% 0.13/0.41 fof(f158,plain,(
% 0.13/0.41 ~sk_c6=sk_c5|~inverse(sk_c1)=sk_c7|~sQ12_spl|~sQ6_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f94,f137])).
% 0.13/0.41 fof(f160,plain,(
% 0.13/0.41 ~sk_c7=sk_c7|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f126,f157])).
% 0.13/0.41 fof(f161,plain,(
% 0.13/0.41 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f160])).
% 0.13/0.41 fof(f162,plain,(
% 0.13/0.41 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f161])).
% 0.13/0.41 fof(f168,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~sQ3_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.13/0.41 fof(f172,plain,(
% 0.13/0.41 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ6_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f134,f94])).
% 0.13/0.41 fof(f176,plain,(
% 0.13/0.41 ~sk_c7=sk_c7|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f102,f172])).
% 0.13/0.41 fof(f177,plain,(
% 0.13/0.41 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f176])).
% 0.13/0.41 fof(f178,plain,(
% 0.13/0.41 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f177])).
% 0.13/0.41 fof(f179,definition,(
% 0.13/0.41 sQ15_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f181,plain,(
% 0.13/0.41 ~inverse(sk_c7)=sk_c7|sQ15_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f179])).
% 0.13/0.41 fof(f182,definition,(
% 0.13/0.41 sQ16_spl <=> (sk_c5=sk_c7)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f184,plain,(
% 0.13/0.41 ~sk_c5=sk_c7|sQ16_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f182])).
% 0.13/0.41 fof(f185,plain,(
% 0.13/0.41 ~sQ15_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f152,f179,f182,f139,f70])).
% 0.13/0.41 fof(f192,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c2)=identity|~sQ10_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.13/0.41 fof(f193,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.41 fof(f194,plain,(
% 0.13/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f35,f193])).
% 0.13/0.41 fof(f195,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.13/0.41 fof(f205,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f35,f194])).
% 0.13/0.41 fof(f211,plain,(
% 0.13/0.41 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ6_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f94,f194])).
% 0.13/0.41 fof(f212,plain,(
% 0.13/0.41 sk_c7=multiply(inverse(sk_c2),sk_c5)|~sQ9_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f118,f194])).
% 0.13/0.41 fof(f216,plain,(
% 0.13/0.41 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f102,f211])).
% 0.13/0.41 fof(f217,plain,(
% 0.13/0.41 sk_c7=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f71,f216])).
% 0.13/0.41 fof(f218,plain,(
% 0.13/0.41 $false|sQ16_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f217,f184])).
% 0.13/0.41 fof(f219,plain,(
% 0.13/0.41 sQ16_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f218])).
% 0.13/0.41 fof(f220,plain,(
% 0.13/0.41 sk_c7=multiply(sk_c7,sk_c5)|~sQ10_spl|~sQ9_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f126,f212])).
% 0.13/0.41 fof(f221,plain,(
% 0.13/0.41 sk_c7=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f110,f220])).
% 0.13/0.41 fof(f223,plain,(
% 0.13/0.41 multiply(sk_c6,sk_c2)=identity|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f221,f192])).
% 0.13/0.41 fof(f226,plain,(
% 0.13/0.41 ~inverse(sk_c7)=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f221,f181])).
% 0.13/0.41 fof(f228,plain,(
% 0.13/0.41 multiply(sk_c6,sk_c5)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f221,f110])).
% 0.13/0.41 fof(f234,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f221,f126])).
% 0.13/0.41 fof(f235,plain,(
% 0.13/0.41 ~inverse(sk_c6)=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f221,f226])).
% 0.13/0.41 fof(f236,plain,(
% 0.13/0.41 sk_c5=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f217,f221])).
% 0.13/0.41 fof(f237,plain,(
% 0.13/0.41 ~inverse(sk_c4)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ4_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f236,f87])).
% 0.13/0.41 fof(f238,plain,(
% 0.13/0.41 multiply(sk_c4,sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ5_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f236,f90])).
% 0.13/0.41 fof(f239,plain,(
% 0.13/0.41 ~inverse(sk_c5)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f236,f235])).
% 0.13/0.41 fof(f240,plain,(
% 0.13/0.41 ~inverse(sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f236,f239])).
% 0.13/0.41 fof(f245,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ13_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f217,f140])).
% 0.13/0.41 fof(f246,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ13_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f236,f245])).
% 0.13/0.41 fof(f247,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c5|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ13_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f217,f246])).
% 0.13/0.41 fof(f250,plain,(
% 0.13/0.41 ~inverse(identity)=sk_c5|~sk_c5=sk_c5|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ13_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f35,f247])).
% 0.13/0.41 fof(f255,definition,(
% 0.13/0.41 sQ19_spl <=> (identity=sk_c5)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f256,plain,(
% 0.13/0.41 identity=sk_c5|~sQ19_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f255])).
% 0.13/0.41 fof(f257,plain,(
% 0.13/0.41 ~identity=sk_c5|sQ19_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f255])).
% 0.13/0.41 fof(f259,definition,(
% 0.13/0.41 sQ20_spl <=> (inverse(identity)=sk_c5)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f260,plain,(
% 0.13/0.41 inverse(identity)=sk_c5|~sQ20_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f259])).
% 0.13/0.41 fof(f261,plain,(
% 0.13/0.41 ~inverse(identity)=sk_c5|sQ20_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f259])).
% 0.13/0.41 fof(f262,definition,(
% 0.13/0.41 sQ21_spl <=> (sk_c5=sk_c5)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f264,plain,(
% 0.13/0.41 ~sk_c5=sk_c5|sQ21_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f262])).
% 0.13/0.41 fof(f265,plain,(
% 0.13/0.41 ~sQ20_spl|~sQ21_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ13_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f250,f259,f262,f109,f125,f117,f70,f101,f93,f139])).
% 0.13/0.41 fof(f266,plain,(
% 0.13/0.41 ~multiply(sk_c5,sk_c7)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f236,f75])).
% 0.13/0.41 fof(f267,plain,(
% 0.13/0.41 ~multiply(sk_c5,sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f217,f266])).
% 0.13/0.41 fof(f268,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c5)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f236,f228])).
% 0.13/0.41 fof(f269,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f236,f268])).
% 0.13/0.41 fof(f270,plain,(
% 0.13/0.41 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f269,f194])).
% 0.13/0.41 fof(f272,plain,(
% 0.13/0.41 sk_c5=identity|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f36,f270])).
% 0.13/0.41 fof(f275,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f272,f36])).
% 0.13/0.41 fof(f276,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f272,f35])).
% 0.13/0.41 fof(f277,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f236,f234])).
% 0.13/0.41 fof(f282,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c2)=identity|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f236,f223])).
% 0.13/0.41 fof(f283,plain,(
% 0.13/0.41 sk_c5=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f284,f272])).
% 0.13/0.41 fof(f284,plain,(
% 0.13/0.41 sk_c2=identity|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f276,f282])).
% 0.13/0.41 fof(f293,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c2,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f283,f276])).
% 0.13/0.41 fof(f294,plain,(
% 0.13/0.41 ~inverse(sk_c4)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ4_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f283,f237])).
% 0.13/0.41 fof(f295,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f283,f277])).
% 0.13/0.41 fof(f297,plain,(
% 0.13/0.41 sk_c2=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f283,f236])).
% 0.13/0.41 fof(f317,plain,(
% 0.13/0.41 multiply(sk_c4,sk_c2)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ5_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f238])).
% 0.13/0.41 fof(f318,plain,(
% 0.13/0.41 multiply(sk_c4,sk_c2)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ5_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f317])).
% 0.13/0.41 fof(f320,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c2,X0)=multiply(sk_c4,multiply(sk_c2,X0))|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ5_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f318,f37])).
% 0.13/0.41 fof(f321,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c4,multiply(sk_c2,X0))|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ5_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f293,f320])).
% 0.13/0.41 fof(f322,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c4,X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ5_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f293,f321])).
% 0.13/0.41 fof(f324,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(inverse(sk_c4),X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ5_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f322,f194])).
% 0.13/0.41 fof(f329,plain,(
% 0.13/0.41 ~multiply(sk_c2,sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f267])).
% 0.13/0.41 fof(f330,plain,(
% 0.13/0.41 ~sk_c5=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f293,f329])).
% 0.13/0.41 fof(f331,plain,(
% 0.13/0.41 ~sk_c2=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f330])).
% 0.13/0.41 fof(f332,plain,(
% 0.13/0.41 ~sk_c2=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f331])).
% 0.13/0.41 fof(f333,plain,(
% 0.13/0.41 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f332])).
% 0.13/0.41 fof(f334,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f333])).
% 0.13/0.41 fof(f335,plain,(
% 0.13/0.41 ~inverse(sk_c2)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f240])).
% 0.13/0.41 fof(f336,plain,(
% 0.13/0.41 ~sk_c2=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f295,f335])).
% 0.13/0.41 fof(f337,plain,(
% 0.13/0.41 ~sk_c2=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f336])).
% 0.13/0.41 fof(f338,plain,(
% 0.13/0.41 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.13/0.41 fof(f339,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ15_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f338])).
% 0.13/0.41 fof(f354,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c5)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f297,f143])).
% 0.13/0.41 fof(f355,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f354])).
% 0.13/0.41 fof(f356,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f297,f355])).
% 0.13/0.41 fof(f357,definition,(
% 0.13/0.41 sQ22_spl <=> (sk_c6=sk_c6)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f359,plain,(
% 0.13/0.41 ~sk_c6=sk_c6|sQ22_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f357])).
% 0.13/0.41 fof(f362,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f275])).
% 0.13/0.41 fof(f374,plain,(
% 0.13/0.41 sk_c4=sk_c2|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f362,f324])).
% 0.13/0.41 fof(f381,plain,(
% 0.13/0.41 ~inverse(sk_c2)=sk_c2|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ4_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f374,f294])).
% 0.13/0.41 fof(f383,plain,(
% 0.13/0.41 ~sk_c2=sk_c2|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ4_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f295,f381])).
% 0.13/0.41 fof(f384,plain,(
% 0.13/0.41 $false|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ4_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f383])).
% 0.13/0.41 fof(f385,plain,(
% 0.13/0.41 ~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ4_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f384])).
% 0.13/0.41 fof(f386,plain,(
% 0.13/0.41 $false|sQ21_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f264])).
% 0.13/0.41 fof(f387,plain,(
% 0.13/0.41 sQ21_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f386])).
% 0.13/0.41 fof(f397,plain,(
% 0.13/0.41 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f90,f194])).
% 0.13/0.41 fof(f399,plain,(
% 0.13/0.41 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f86,f397])).
% 0.13/0.41 fof(f402,plain,(
% 0.13/0.41 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f82,f194])).
% 0.13/0.41 fof(f404,plain,(
% 0.13/0.41 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f78,f402])).
% 0.13/0.41 fof(f409,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f205,f194])).
% 0.13/0.41 fof(f435,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c5)|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f74,f168])).
% 0.13/0.41 fof(f438,plain,(
% 0.13/0.41 sk_c6=multiply(sk_c3,sk_c5)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f404,f435])).
% 0.13/0.41 fof(f442,plain,(
% 0.13/0.41 sk_c5=multiply(inverse(sk_c3),sk_c6)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f438,f194])).
% 0.13/0.41 fof(f444,plain,(
% 0.13/0.41 sk_c5=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f78,f442])).
% 0.13/0.41 fof(f445,plain,(
% 0.13/0.41 $false|sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f444,f72])).
% 0.13/0.41 fof(f446,plain,(
% 0.13/0.41 sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f445])).
% 0.13/0.41 fof(f465,plain,(
% 0.13/0.41 inverse(identity)=identity),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f36,f409])).
% 0.13/0.41 fof(f473,plain,(
% 0.13/0.41 ~identity=sk_c5|sQ20_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f465,f261])).
% 0.13/0.41 fof(f487,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f404,f195])).
% 0.13/0.41 fof(f492,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c7)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f399,f487])).
% 0.13/0.41 fof(f496,plain,(
% 0.13/0.41 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f492,f194])).
% 0.13/0.41 fof(f499,plain,(
% 0.13/0.41 sk_c7=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f36,f496])).
% 0.13/0.41 fof(f506,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f499,f36])).
% 0.13/0.41 fof(f507,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f499,f35])).
% 0.13/0.41 fof(f508,plain,(
% 0.13/0.41 ~sk_c7=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ19_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f499,f257])).
% 0.13/0.41 fof(f512,plain,(
% 0.13/0.41 sk_c5=sk_c6|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f507,f444])).
% 0.13/0.41 fof(f513,plain,(
% 0.13/0.41 sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f507,f404])).
% 0.13/0.41 fof(f514,plain,(
% 0.13/0.41 ~sk_c5=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ8_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f507,f111])).
% 0.13/0.41 fof(f521,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c3)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f78,f506])).
% 0.13/0.41 fof(f525,plain,(
% 0.13/0.41 sk_c3=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f507,f521])).
% 0.13/0.41 fof(f536,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c5|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f512,f86])).
% 0.13/0.41 fof(f538,plain,(
% 0.13/0.41 sk_c5=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f512,f513])).
% 0.13/0.41 fof(f539,plain,(
% 0.13/0.41 $false|sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f538,f508])).
% 0.13/0.41 fof(f540,plain,(
% 0.13/0.41 sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f539])).
% 0.13/0.41 fof(f541,plain,(
% 0.13/0.41 ~sQ19_spl|sQ20_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f473,f255,f259])).
% 0.13/0.41 fof(f542,plain,(
% 0.13/0.41 ~sk_c2=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ19_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f284,f257])).
% 0.13/0.41 fof(f553,plain,(
% 0.13/0.41 ~sk_c2=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f283,f542])).
% 0.13/0.41 fof(f554,plain,(
% 0.13/0.41 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ19_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f553])).
% 0.13/0.41 fof(f555,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ19_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f554])).
% 0.13/0.41 fof(f557,plain,(
% 0.13/0.41 $false|sQ8_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f512,f514])).
% 0.13/0.41 fof(f558,plain,(
% 0.13/0.41 sQ8_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f557])).
% 0.13/0.41 fof(f562,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c3)=sk_c6|~inverse(X0)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f525,f134])).
% 0.13/0.41 fof(f563,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c3)=sk_c6|~inverse(X0)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f525,f562])).
% 0.13/0.41 fof(f568,plain,(
% 0.13/0.41 $false|sQ22_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f359])).
% 0.13/0.41 fof(f569,plain,(
% 0.13/0.41 sQ22_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f568])).
% 0.13/0.41 fof(f570,plain,(
% 0.13/0.41 sk_c5=sk_c3|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f525,f538])).
% 0.13/0.41 fof(f571,plain,(
% 0.13/0.41 identity=sk_c3|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f570,f256])).
% 0.13/0.41 fof(f572,plain,(
% 0.13/0.41 sk_c3=sk_c6|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f570,f512])).
% 0.13/0.41 fof(f576,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c3,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f571,f35])).
% 0.13/0.41 fof(f583,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f571,f36])).
% 0.13/0.41 fof(f591,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c3)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f525,f94])).
% 0.13/0.41 fof(f592,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c3)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f572,f591])).
% 0.13/0.41 fof(f594,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c3,X0)=multiply(sk_c1,multiply(sk_c3,X0))|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f592,f37])).
% 0.13/0.41 fof(f595,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c1,multiply(sk_c3,X0))|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f576,f594])).
% 0.13/0.41 fof(f596,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c1,X0)|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f576,f595])).
% 0.13/0.41 fof(f597,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c3|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f570,f536])).
% 0.13/0.41 fof(f598,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c4)=sk_c3|~sQ19_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f597,f583])).
% 0.13/0.41 fof(f600,plain,(
% 0.13/0.41 sk_c4=sk_c3|~sQ19_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f576,f598])).
% 0.13/0.41 fof(f604,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f600,f583])).
% 0.13/0.41 fof(f607,plain,(
% 0.13/0.41 sk_c4=sk_c6|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f600,f572])).
% 0.13/0.41 fof(f608,plain,(
% 0.13/0.41 identity=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f600,f571])).
% 0.13/0.41 fof(f609,plain,(
% 0.13/0.41 sk_c5=sk_c4|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f600,f570])).
% 0.13/0.41 fof(f610,plain,(
% 0.13/0.41 sk_c4=sk_c7|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f600,f525])).
% 0.13/0.41 fof(f617,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c4|~sQ19_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f607,f86])).
% 0.13/0.41 fof(f619,plain,(
% 0.13/0.41 ~inverse(sk_c1)=sk_c4|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f610,f103])).
% 0.13/0.41 fof(f625,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(inverse(sk_c1),X0)|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f596,f194])).
% 0.13/0.41 fof(f695,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c6|~inverse(X0)=sk_c3|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f600,f563])).
% 0.13/0.41 fof(f696,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c3|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f607,f695])).
% 0.13/0.41 fof(f697,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f600,f696])).
% 0.13/0.41 fof(f698,plain,(
% 0.13/0.41 ~inverse(inverse(sk_c4))=sk_c4|~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f697,f604])).
% 0.13/0.41 fof(f705,plain,(
% 0.13/0.41 ~inverse(sk_c4)=sk_c4|~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f617,f698])).
% 0.13/0.41 fof(f706,plain,(
% 0.13/0.41 ~sk_c4=sk_c4|~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f617,f705])).
% 0.13/0.41 fof(f707,plain,(
% 0.13/0.41 $false|~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f706])).
% 0.13/0.41 fof(f708,plain,(
% 0.13/0.41 ~sQ11_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f707])).
% 0.13/0.41 fof(f710,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c5|~inverse(X0)=sk_c7|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ12_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f610,f137])).
% 0.13/0.41 fof(f711,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c7|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ12_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f609,f710])).
% 0.13/0.41 fof(f712,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ12_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f610,f711])).
% 0.13/0.41 fof(f713,definition,(
% 0.13/0.41 sQ23_spl <=> (sk_c6=sk_c5)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f715,plain,(
% 0.13/0.41 ~sk_c6=sk_c5|sQ23_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f713])).
% 0.13/0.41 fof(f716,plain,(
% 0.13/0.41 ~sQ23_spl|~sQ7_spl|~sQ12_spl|~sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f158,f713,f101,f136,f93])).
% 0.13/0.41 fof(f718,plain,(
% 0.13/0.41 sk_c1=sk_c4|~sQ6_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f604,f625])).
% 0.13/0.41 fof(f726,plain,(
% 0.13/0.41 ~inverse(sk_c1)=sk_c1|~sQ6_spl|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f718,f619])).
% 0.13/0.41 fof(f727,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c1|~sQ6_spl|~sQ19_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f718,f617])).
% 0.13/0.41 fof(f729,plain,(
% 0.13/0.41 sk_c5=sk_c1|~sQ6_spl|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f718,f609])).
% 0.13/0.41 fof(f731,plain,(
% 0.13/0.41 sk_c1=sk_c6|~sQ6_spl|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f718,f607])).
% 0.13/0.41 fof(f733,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c1|~sQ6_spl|~sQ19_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f718,f727])).
% 0.13/0.41 fof(f742,definition,(
% 0.13/0.41 sQ24_spl <=> (sk_c1=sk_c1)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f744,plain,(
% 0.13/0.41 ~sk_c1=sk_c1|sQ24_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f742])).
% 0.13/0.41 fof(f753,plain,(
% 0.13/0.41 $false|sQ24_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f744])).
% 0.13/0.41 fof(f754,plain,(
% 0.13/0.41 sQ24_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f753])).
% 0.13/0.41 fof(f755,plain,(
% 0.13/0.41 $false|sQ7_spl|~sQ6_spl|~sQ19_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f733,f726])).
% 0.13/0.41 fof(f756,plain,(
% 0.13/0.41 sQ7_spl|~sQ6_spl|~sQ19_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f755])).
% 0.13/0.41 fof(f769,plain,(
% 0.13/0.41 ~inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f356,f293])).
% 0.13/0.41 fof(f772,plain,(
% 0.13/0.41 ~sk_c2=sk_c2|~sQ14_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f295,f769])).
% 0.13/0.41 fof(f773,plain,(
% 0.13/0.41 $false|~sQ14_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f772])).
% 0.13/0.41 fof(f774,plain,(
% 0.13/0.41 ~sQ14_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f773])).
% 0.13/0.41 fof(f787,plain,(
% 0.13/0.41 ~sk_c6=sk_c1|~sQ6_spl|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ23_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f729,f715])).
% 0.13/0.41 fof(f789,plain,(
% 0.13/0.41 ~sk_c1=sk_c1|~sQ6_spl|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ23_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f731,f787])).
% 0.13/0.41 fof(f790,plain,(
% 0.13/0.41 $false|~sQ6_spl|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ23_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f789])).
% 0.13/0.41 fof(f791,plain,(
% 0.13/0.41 ~sQ6_spl|~sQ19_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ23_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f790])).
% 0.13/0.41 fof(f801,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl|~sQ20_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f608,f260])).
% 0.13/0.41 fof(f802,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl|~sQ20_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f609,f801])).
% 0.13/0.41 fof(f814,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f608,f36])).
% 0.13/0.41 fof(f824,plain,(
% 0.13/0.41 ~inverse(inverse(sk_c4))=sk_c4|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f712,f814])).
% 0.13/0.41 fof(f829,plain,(
% 0.13/0.41 ~inverse(sk_c4)=sk_c4|~sQ20_spl|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f802,f824])).
% 0.13/0.41 fof(f830,plain,(
% 0.13/0.41 ~sk_c4=sk_c4|~sQ20_spl|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f802,f829])).
% 0.13/0.41 fof(f831,plain,(
% 0.13/0.41 $false|~sQ20_spl|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f830])).
% 0.13/0.41 fof(f832,plain,(
% 0.13/0.41 ~sQ20_spl|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ19_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f831])).
% 0.13/0.41 fof(f833,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f76,f80,f84,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f150,f156,f162,f178,f185,f219,f265,f334,f339,f385,f387,f446,f540,f541,f555,f558,f569,f708,f716,f754,f756,f774,f791,f832])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.059025 seconds
% 0.13/0.43 % CPU time: 0.193706 seconds
% 0.13/0.43 % Total memory used: 103.910 MB
% 0.13/0.43 % Net memory used: 103.669 MB
%------------------------------------------------------------------------------