%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP376-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:36:32 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP376-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n019.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Sun Sep 20 20:11:01 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.14/10.40 % Drodi V4.1.1
% 0.14/10.44 % Refutation found
% 0.14/10.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.44 fof(f1,axiom,(
% 0.14/10.44 (![X]: (multiply(identity,X) = X ))),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f2,axiom,(
% 0.14/10.44 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f3,axiom,(
% 0.14/10.44 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f4,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f5,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f6,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f7,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f8,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f9,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f10,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f11,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f12,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f13,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f14,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f15,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f16,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f17,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f18,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f19,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f20,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c5,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f21,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f22,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c5,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f23,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f24,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f25,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f26,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f27,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f28,negated_conjecture,(
% 0.14/10.44 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f29,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c2) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f30,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f31,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f32,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c2) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f33,negated_conjecture,(
% 0.14/10.44 ( inverse(sk_c2) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f34,negated_conjecture,(
% 0.14/10.44 (![X3,X4,X1,X2]: (( inverse(sk_c7) != sk_c6| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c5,sk_c6) != sk_c7| multiply(X4,sk_c5) != sk_c7| inverse(X4) != sk_c5| 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 ) ))),
% 0.14/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.44 fof(f35,plain,(
% 0.14/10.44 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/10.44 fof(f36,plain,(
% 0.14/10.44 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/10.44 fof(f37,plain,(
% 0.14/10.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/10.44 fof(f38,plain,(
% 0.14/10.44 inverse(sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/10.44 fof(f39,plain,(
% 0.14/10.44 inverse(sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/10.44 fof(f40,plain,(
% 0.14/10.44 inverse(sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/10.44 fof(f41,plain,(
% 0.14/10.44 inverse(sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/10.44 fof(f42,plain,(
% 0.14/10.44 inverse(sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/10.44 fof(f43,plain,(
% 0.14/10.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/10.44 fof(f44,plain,(
% 0.14/10.44 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/10.44 fof(f45,plain,(
% 0.14/10.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/10.44 fof(f46,plain,(
% 0.14/10.44 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/10.44 fof(f47,plain,(
% 0.14/10.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/10.44 fof(f48,plain,(
% 0.14/10.44 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/10.44 fof(f49,plain,(
% 0.14/10.44 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/10.44 fof(f50,plain,(
% 0.14/10.44 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/10.44 fof(f51,plain,(
% 0.14/10.44 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/10.44 fof(f52,plain,(
% 0.14/10.44 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/10.44 fof(f53,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/10.44 fof(f54,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/10.44 fof(f55,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/10.44 fof(f56,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/10.44 fof(f57,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/10.44 fof(f58,plain,(
% 0.14/10.44 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/10.44 fof(f59,plain,(
% 0.14/10.44 multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/10.44 fof(f60,plain,(
% 0.14/10.44 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/10.44 fof(f61,plain,(
% 0.14/10.44 multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/10.44 fof(f62,plain,(
% 0.14/10.44 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/10.44 fof(f63,plain,(
% 0.14/10.44 inverse(sk_c2)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/10.44 fof(f64,plain,(
% 0.14/10.44 inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/10.44 fof(f65,plain,(
% 0.14/10.44 inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/10.44 fof(f66,plain,(
% 0.14/10.44 inverse(sk_c2)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/10.44 fof(f67,plain,(
% 0.14/10.44 inverse(sk_c2)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/10.44 fof(f68,plain,(
% 0.14/10.44 ![X2]: (((![X1]: ((((![X4]: ((((![X3]: ((~inverse(sk_c7)=sk_c6|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(sk_c5,sk_c6)=sk_c7)|~multiply(X4,sk_c5)=sk_c7)|~inverse(X4)=sk_c5))|~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)),
% 0.14/10.44 inference(miniscoping,[status(thm)],[f34])).
% 0.14/10.44 fof(f69,plain,(
% 0.14/10.44 ![X0,X1,X2,X3]: (~inverse(sk_c7)=sk_c6|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c5,sk_c6)=sk_c7|~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5|~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)),
% 0.14/10.44 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/10.44 fof(f70,definition,(
% 0.14/10.44 sQ0_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f71,plain,(
% 0.14/10.44 inverse(sk_c7)=sk_c6|~sQ0_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f70])).
% 0.14/10.44 fof(f72,plain,(
% 0.14/10.44 ~inverse(sk_c7)=sk_c6|sQ0_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f70])).
% 0.14/10.44 fof(f73,definition,(
% 0.14/10.44 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f74,plain,(
% 0.14/10.44 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f73])).
% 0.14/10.44 fof(f75,plain,(
% 0.14/10.44 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f73])).
% 0.14/10.44 fof(f76,plain,(
% 0.14/10.44 sQ0_spl|sQ1_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/10.44 fof(f77,definition,(
% 0.14/10.44 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f78,plain,(
% 0.14/10.44 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f77])).
% 0.14/10.44 fof(f80,plain,(
% 0.14/10.44 sQ0_spl|sQ2_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/10.44 fof(f81,definition,(
% 0.14/10.44 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f82,plain,(
% 0.14/10.44 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f81])).
% 0.14/10.44 fof(f84,plain,(
% 0.14/10.44 sQ0_spl|sQ3_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/10.44 fof(f85,definition,(
% 0.14/10.44 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f86,plain,(
% 0.14/10.44 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f85])).
% 0.14/10.44 fof(f88,plain,(
% 0.14/10.44 sQ0_spl|sQ4_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.14/10.44 fof(f89,definition,(
% 0.14/10.44 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f90,plain,(
% 0.14/10.44 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f89])).
% 0.14/10.44 fof(f92,plain,(
% 0.14/10.44 sQ0_spl|sQ5_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.14/10.44 fof(f93,definition,(
% 0.14/10.44 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f94,plain,(
% 0.14/10.44 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f93])).
% 0.14/10.44 fof(f96,plain,(
% 0.14/10.44 sQ6_spl|sQ1_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.14/10.44 fof(f97,plain,(
% 0.14/10.44 sQ6_spl|sQ2_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.14/10.44 fof(f98,plain,(
% 0.14/10.44 sQ6_spl|sQ3_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.14/10.44 fof(f99,plain,(
% 0.14/10.44 sQ6_spl|sQ4_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.14/10.44 fof(f100,plain,(
% 0.14/10.44 sQ6_spl|sQ5_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.14/10.44 fof(f101,definition,(
% 0.14/10.44 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f102,plain,(
% 0.14/10.44 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f101])).
% 0.14/10.44 fof(f104,plain,(
% 0.14/10.44 sQ7_spl|sQ1_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.14/10.44 fof(f105,plain,(
% 0.14/10.44 sQ7_spl|sQ2_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.14/10.44 fof(f106,plain,(
% 0.14/10.44 sQ7_spl|sQ3_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.14/10.44 fof(f107,plain,(
% 0.14/10.44 sQ7_spl|sQ4_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.14/10.44 fof(f108,plain,(
% 0.14/10.44 sQ7_spl|sQ5_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.14/10.44 fof(f109,definition,(
% 0.14/10.44 sQ8_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f110,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c6)=sk_c7|~sQ8_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f109])).
% 0.14/10.44 fof(f111,plain,(
% 0.14/10.44 ~multiply(sk_c5,sk_c6)=sk_c7|sQ8_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f109])).
% 0.14/10.44 fof(f112,plain,(
% 0.14/10.44 sQ8_spl|sQ1_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.14/10.44 fof(f113,plain,(
% 0.14/10.44 sQ8_spl|sQ2_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.14/10.44 fof(f114,plain,(
% 0.14/10.44 sQ8_spl|sQ3_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.14/10.44 fof(f115,plain,(
% 0.14/10.44 sQ8_spl|sQ4_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.14/10.44 fof(f116,plain,(
% 0.14/10.44 sQ8_spl|sQ5_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.14/10.44 fof(f117,definition,(
% 0.14/10.44 sQ9_spl <=> (multiply(sk_c2,sk_c5)=sk_c7)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f118,plain,(
% 0.14/10.44 multiply(sk_c2,sk_c5)=sk_c7|~sQ9_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f117])).
% 0.14/10.44 fof(f120,plain,(
% 0.14/10.44 sQ9_spl|sQ1_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.14/10.44 fof(f121,plain,(
% 0.14/10.44 sQ9_spl|sQ2_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.14/10.44 fof(f122,plain,(
% 0.14/10.44 sQ9_spl|sQ3_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.14/10.44 fof(f123,plain,(
% 0.14/10.44 sQ9_spl|sQ4_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.14/10.44 fof(f124,plain,(
% 0.14/10.44 sQ9_spl|sQ5_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.14/10.44 fof(f125,definition,(
% 0.14/10.44 sQ10_spl <=> (inverse(sk_c2)=sk_c5)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f126,plain,(
% 0.14/10.44 inverse(sk_c2)=sk_c5|~sQ10_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f125])).
% 0.14/10.44 fof(f128,plain,(
% 0.14/10.44 sQ10_spl|sQ1_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.14/10.44 fof(f129,plain,(
% 0.14/10.44 sQ10_spl|sQ2_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.14/10.44 fof(f130,plain,(
% 0.14/10.44 sQ10_spl|sQ3_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.14/10.44 fof(f131,plain,(
% 0.14/10.44 sQ10_spl|sQ4_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.14/10.44 fof(f132,plain,(
% 0.14/10.44 sQ10_spl|sQ5_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.14/10.44 fof(f133,definition,(
% 0.14/10.44 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f134,plain,(
% 0.14/10.44 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.14/10.44 inference(component_clause,[status(thm)],[f133])).
% 0.14/10.44 fof(f136,definition,(
% 0.14/10.44 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5))),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f137,plain,(
% 0.14/10.44 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~sQ12_spl)),
% 0.14/10.44 inference(component_clause,[status(thm)],[f136])).
% 0.14/10.44 fof(f139,definition,(
% 0.14/10.44 ![X2]: (sQ13_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f140,plain,(
% 0.14/10.44 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ13_spl)),
% 0.14/10.44 inference(component_clause,[status(thm)],[f139])).
% 0.14/10.44 fof(f142,definition,(
% 0.14/10.44 ![X3]: (sQ14_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f143,plain,(
% 0.14/10.44 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ14_spl)),
% 0.14/10.44 inference(component_clause,[status(thm)],[f142])).
% 0.14/10.44 fof(f145,plain,(
% 0.14/10.44 ~sQ0_spl|sQ11_spl|~sQ8_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f69,f70,f133,f109,f136,f73,f139,f142])).
% 0.14/10.44 fof(f146,plain,(
% 0.14/10.44 ~inverse(sk_c4)=sk_c6|~sQ14_spl|~sQ5_spl),
% 0.14/10.44 inference(resolution,[status(thm)],[f143,f90])).
% 0.14/10.44 fof(f147,plain,(
% 0.14/10.44 ~inverse(sk_c2)=sk_c6|~sk_c7=sk_c6|~sQ14_spl|~sQ9_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f118,f143])).
% 0.14/10.44 fof(f149,plain,(
% 0.14/10.44 ~sk_c6=sk_c6|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.14/10.44 fof(f150,plain,(
% 0.14/10.44 $false|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f149])).
% 0.14/10.44 fof(f151,plain,(
% 0.14/10.44 ~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f150])).
% 0.14/10.44 fof(f152,plain,(
% 0.14/10.44 ~inverse(sk_c5)=sk_c7|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(resolution,[status(thm)],[f140,f110])).
% 0.14/10.44 fof(f153,plain,(
% 0.14/10.44 ~inverse(sk_c3)=sk_c7|~sQ13_spl|~sQ3_spl),
% 0.14/10.44 inference(resolution,[status(thm)],[f140,f82])).
% 0.14/10.44 fof(f156,plain,(
% 0.14/10.44 ~sk_c7=sk_c7|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f78,f153])).
% 0.14/10.44 fof(f157,plain,(
% 0.14/10.44 $false|~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f156])).
% 0.14/10.44 fof(f158,plain,(
% 0.14/10.44 ~sQ2_spl|~sQ13_spl|~sQ3_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f157])).
% 0.14/10.44 fof(f159,plain,(
% 0.14/10.44 ~inverse(sk_c2)=sk_c5|~sQ12_spl|~sQ9_spl),
% 0.14/10.44 inference(resolution,[status(thm)],[f137,f118])).
% 0.14/10.44 fof(f161,plain,(
% 0.14/10.44 ~sk_c6=sk_c7|~inverse(sk_c4)=sk_c5|~sQ12_spl|~sQ5_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f90,f137])).
% 0.14/10.44 fof(f162,plain,(
% 0.14/10.44 ~sk_c5=sk_c5|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f126,f159])).
% 0.14/10.44 fof(f163,plain,(
% 0.14/10.44 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f162])).
% 0.14/10.44 fof(f164,plain,(
% 0.14/10.44 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f163])).
% 0.14/10.44 fof(f173,plain,(
% 0.14/10.44 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ6_spl),
% 0.14/10.44 inference(resolution,[status(thm)],[f134,f94])).
% 0.14/10.44 fof(f176,plain,(
% 0.14/10.44 ~sk_c7=sk_c7|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f102,f173])).
% 0.14/10.44 fof(f177,plain,(
% 0.14/10.44 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f176])).
% 0.14/10.44 fof(f178,plain,(
% 0.14/10.44 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f177])).
% 0.14/10.44 fof(f182,definition,(
% 0.14/10.44 sQ16_spl <=> (sk_c7=sk_c7)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f184,plain,(
% 0.14/10.44 ~sk_c7=sk_c7|sQ16_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f182])).
% 0.14/10.44 fof(f187,plain,(
% 0.14/10.44 $false|sQ16_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f184])).
% 0.14/10.44 fof(f188,plain,(
% 0.14/10.44 sQ16_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f187])).
% 0.14/10.44 fof(f190,plain,(
% 0.14/10.44 multiply(sk_c6,sk_c7)=identity|~sQ0_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.14/10.44 fof(f191,plain,(
% 0.14/10.44 multiply(sk_c7,sk_c1)=identity|~sQ7_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f102,f36])).
% 0.14/10.44 fof(f192,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c2)=identity|~sQ10_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.14/10.44 fof(f193,plain,(
% 0.14/10.44 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/10.44 fof(f194,plain,(
% 0.14/10.44 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f35,f193])).
% 0.14/10.44 fof(f196,plain,(
% 0.14/10.44 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ1_spl|~sQ0_spl)),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f198,f36])).
% 0.14/10.44 fof(f197,plain,(
% 0.14/10.44 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ0_spl)),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f198,f35])).
% 0.14/10.44 fof(f198,plain,(
% 0.14/10.44 sk_c5=identity|~sQ1_spl|~sQ0_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f74,f190])).
% 0.14/10.44 fof(f199,plain,(
% 0.14/10.44 sk_c6=sk_c7|~sQ1_spl|~sQ0_spl|~sQ8_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f197,f110])).
% 0.14/10.44 fof(f202,plain,(
% 0.14/10.44 ~inverse(sk_c5)=sk_c6|~sQ1_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f199,f152])).
% 0.14/10.44 fof(f204,plain,(
% 0.14/10.44 inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ8_spl|~sQ0_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f199,f71])).
% 0.14/10.44 fof(f209,plain,(
% 0.14/10.44 multiply(sk_c6,sk_c1)=identity|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f199,f191])).
% 0.14/10.44 fof(f210,plain,(
% 0.14/10.44 multiply(sk_c6,sk_c1)=sk_c5|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f198,f209])).
% 0.14/10.44 fof(f213,plain,(
% 0.14/10.44 sk_c5=sk_c2|~sQ10_spl|~sQ1_spl|~sQ0_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f214,f198])).
% 0.14/10.44 fof(f214,plain,(
% 0.14/10.44 sk_c2=identity|~sQ1_spl|~sQ0_spl|~sQ10_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f197,f192])).
% 0.14/10.44 fof(f215,plain,(
% 0.14/10.44 multiply(sk_c6,sk_c1)=sk_c2|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f213,f210])).
% 0.14/10.44 fof(f216,plain,(
% 0.14/10.44 ~inverse(sk_c2)=sk_c6|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f213,f202])).
% 0.14/10.44 fof(f219,plain,(
% 0.14/10.44 inverse(sk_c2)=sk_c2|~sQ1_spl|~sQ0_spl|~sQ10_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f213,f126])).
% 0.14/10.44 fof(f223,plain,(
% 0.14/10.44 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ10_spl|~sQ1_spl|~sQ0_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f213,f196])).
% 0.14/10.44 fof(f225,plain,(
% 0.14/10.44 multiply(sk_c6,sk_c6)=sk_c2|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ0_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f204,f223])).
% 0.14/10.44 fof(f242,plain,(
% 0.14/10.44 ~identity=sk_c5|~sQ0_spl|sQ1_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f190,f75])).
% 0.14/10.44 fof(f249,plain,(
% 0.14/10.44 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ6_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f94,f194])).
% 0.14/10.44 fof(f257,plain,(
% 0.14/10.44 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f102,f249])).
% 0.14/10.44 fof(f262,plain,(
% 0.14/10.44 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ7_spl|~sQ6_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f257,f194])).
% 0.14/10.44 fof(f264,plain,(
% 0.14/10.44 sk_c6=multiply(sk_c6,sk_c7)|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f71,f262])).
% 0.14/10.44 fof(f267,plain,(
% 0.14/10.44 sk_c6=identity|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f264,f190])).
% 0.14/10.44 fof(f271,plain,(
% 0.14/10.44 ~sk_c6=sk_c5|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f267,f242])).
% 0.14/10.44 fof(f280,plain,(
% 0.14/10.44 sk_c6=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f282,f264])).
% 0.14/10.44 fof(f282,plain,(
% 0.14/10.44 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ0_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f267,f35])).
% 0.14/10.44 fof(f287,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f280,f110])).
% 0.14/10.44 fof(f288,plain,(
% 0.14/10.44 multiply(sk_c2,sk_c5)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f280,f118])).
% 0.14/10.44 fof(f290,plain,(
% 0.14/10.44 inverse(sk_c1)=sk_c6|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f280,f102])).
% 0.14/10.44 fof(f293,plain,(
% 0.14/10.44 ![X0]: (X0=multiply(sk_c6,multiply(sk_c1,X0))|~sQ0_spl|~sQ6_spl|~sQ7_spl)),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f290,f194])).
% 0.14/10.44 fof(f294,plain,(
% 0.14/10.44 ![X0]: (X0=multiply(sk_c1,X0)|~sQ0_spl|~sQ6_spl|~sQ7_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f282,f293])).
% 0.14/10.44 fof(f300,plain,(
% 0.14/10.44 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ0_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f267,f36])).
% 0.14/10.44 fof(f302,plain,(
% 0.14/10.44 multiply(sk_c6,sk_c1)=sk_c6|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f290,f300])).
% 0.14/10.44 fof(f306,plain,(
% 0.14/10.44 sk_c1=sk_c6|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f282,f302])).
% 0.14/10.44 fof(f311,plain,(
% 0.14/10.44 sk_c1=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f306,f280])).
% 0.14/10.44 fof(f313,plain,(
% 0.14/10.44 ~sk_c1=sk_c5|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f306,f271])).
% 0.14/10.44 fof(f324,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c1)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f306,f287])).
% 0.14/10.44 fof(f325,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c1)=sk_c1|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f306,f324])).
% 0.14/10.44 fof(f330,plain,(
% 0.14/10.44 multiply(sk_c2,sk_c5)=sk_c1|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f306,f288])).
% 0.14/10.44 fof(f331,plain,(
% 0.14/10.44 sk_c5=multiply(inverse(sk_c2),sk_c1)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f330,f194])).
% 0.14/10.44 fof(f333,plain,(
% 0.14/10.44 sk_c5=multiply(sk_c5,sk_c1)|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f126,f331])).
% 0.14/10.44 fof(f334,plain,(
% 0.14/10.44 sk_c5=sk_c1|~sQ8_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f325,f333])).
% 0.14/10.44 fof(f335,plain,(
% 0.14/10.44 $false|sQ1_spl|~sQ8_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.14/10.44 inference(forward_subsumption_resolution,[status(thm)],[f334,f313])).
% 0.14/10.44 fof(f336,plain,(
% 0.14/10.44 sQ1_spl|~sQ8_spl|~sQ10_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f335])).
% 0.14/10.44 fof(f359,plain,(
% 0.14/10.44 multiply(sk_c1,sk_c1)=sk_c2|~sQ6_spl|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f306,f215])).
% 0.14/10.44 fof(f360,plain,(
% 0.14/10.44 sk_c1=sk_c2|~sQ6_spl|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f294,f359])).
% 0.14/10.44 fof(f361,plain,(
% 0.14/10.44 ~sk_c5=sk_c6|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f126,f216])).
% 0.14/10.44 fof(f362,plain,(
% 0.14/10.44 ~sk_c5=sk_c1|~sQ6_spl|~sQ7_spl|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f306,f361])).
% 0.14/10.44 fof(f372,plain,(
% 0.14/10.44 multiply(sk_c1,sk_c6)=sk_c2|~sQ6_spl|~sQ7_spl|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ0_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f306,f225])).
% 0.14/10.44 fof(f373,plain,(
% 0.14/10.44 sk_c6=sk_c2|~sQ6_spl|~sQ7_spl|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ0_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f294,f372])).
% 0.14/10.44 fof(f392,plain,(
% 0.14/10.44 sk_c2=sk_c7|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f360,f311])).
% 0.14/10.44 fof(f400,plain,(
% 0.14/10.44 ~sk_c2=sk_c1|~sQ6_spl|~sQ7_spl|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f213,f362])).
% 0.14/10.44 fof(f401,plain,(
% 0.14/10.44 ~sk_c2=sk_c2|~sQ6_spl|~sQ7_spl|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f360,f400])).
% 0.14/10.44 fof(f402,plain,(
% 0.14/10.44 $false|~sQ6_spl|~sQ7_spl|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f401])).
% 0.14/10.44 fof(f403,plain,(
% 0.14/10.44 ~sQ6_spl|~sQ7_spl|~sQ10_spl|~sQ1_spl|~sQ0_spl|~sQ13_spl|~sQ8_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f402])).
% 0.14/10.44 fof(f405,definition,(
% 0.14/10.44 sQ19_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f407,plain,(
% 0.14/10.44 ~inverse(sk_c2)=sk_c6|sQ19_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f405])).
% 0.14/10.44 fof(f408,definition,(
% 0.14/10.44 sQ20_spl <=> (sk_c7=sk_c6)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f410,plain,(
% 0.14/10.44 ~sk_c7=sk_c6|sQ20_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f408])).
% 0.14/10.44 fof(f411,plain,(
% 0.14/10.44 ~sQ19_spl|~sQ20_spl|~sQ14_spl|~sQ9_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f147,f405,f408,f142,f117])).
% 0.14/10.44 fof(f432,plain,(
% 0.14/10.44 ~sk_c2=sk_c6|~sQ1_spl|~sQ0_spl|~sQ10_spl|sQ19_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f219,f407])).
% 0.14/10.44 fof(f433,plain,(
% 0.14/10.44 ~sk_c2=sk_c2|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ0_spl|~sQ10_spl|sQ19_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f373,f432])).
% 0.14/10.44 fof(f434,plain,(
% 0.14/10.44 $false|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ0_spl|~sQ10_spl|sQ19_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f433])).
% 0.14/10.44 fof(f435,plain,(
% 0.14/10.44 ~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ0_spl|~sQ10_spl|sQ19_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f434])).
% 0.14/10.44 fof(f436,plain,(
% 0.14/10.44 ~sk_c2=sk_c6|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ20_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f392,f410])).
% 0.14/10.44 fof(f437,plain,(
% 0.14/10.44 ~sk_c2=sk_c2|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ20_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f373,f436])).
% 0.14/10.44 fof(f438,plain,(
% 0.14/10.44 $false|~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ20_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f437])).
% 0.14/10.44 fof(f439,plain,(
% 0.14/10.44 ~sQ10_spl|~sQ1_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ20_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f438])).
% 0.14/10.44 fof(f444,plain,(
% 0.14/10.44 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f82,f194])).
% 0.14/10.44 fof(f446,plain,(
% 0.14/10.44 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f78,f444])).
% 0.14/10.44 fof(f447,plain,(
% 0.14/10.44 sk_c7=multiply(inverse(sk_c6),sk_c5)|~sQ1_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f74,f194])).
% 0.14/10.44 fof(f453,plain,(
% 0.14/10.44 multiply(sk_c7,sk_c3)=sk_c5|~sQ1_spl|~sQ0_spl|~sQ2_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f78,f196])).
% 0.14/10.44 fof(f458,plain,(
% 0.14/10.44 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f90,f194])).
% 0.14/10.44 fof(f460,plain,(
% 0.14/10.44 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f86,f458])).
% 0.14/10.44 fof(f472,plain,(
% 0.14/10.44 sk_c7=multiply(inverse(sk_c7),sk_c6)|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f446,f194])).
% 0.14/10.44 fof(f474,plain,(
% 0.14/10.44 sk_c7=multiply(sk_c6,sk_c6)|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f71,f472])).
% 0.14/10.44 fof(f482,plain,(
% 0.14/10.44 sk_c6=multiply(inverse(sk_c6),sk_c5)|~sQ4_spl|~sQ5_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f460,f194])).
% 0.14/10.44 fof(f485,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c3)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f495,f453])).
% 0.14/10.44 fof(f486,plain,(
% 0.14/10.44 sk_c6=multiply(sk_c7,sk_c5)|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f495,f446])).
% 0.14/10.44 fof(f495,plain,(
% 0.14/10.44 sk_c7=sk_c5|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f460,f474])).
% 0.14/10.44 fof(f496,plain,(
% 0.14/10.44 sk_c3=sk_c5|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f197,f485])).
% 0.14/10.44 fof(f497,plain,(
% 0.14/10.44 sk_c6=multiply(sk_c5,sk_c5)|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f495,f486])).
% 0.14/10.44 fof(f498,plain,(
% 0.14/10.44 sk_c6=sk_c5|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f197,f497])).
% 0.14/10.44 fof(f499,plain,(
% 0.14/10.44 sk_c7=sk_c3|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f496,f495])).
% 0.14/10.44 fof(f504,plain,(
% 0.14/10.44 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl)),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f496,f196])).
% 0.14/10.44 fof(f507,plain,(
% 0.14/10.44 sk_c3=identity|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f496,f198])).
% 0.14/10.44 fof(f508,plain,(
% 0.14/10.44 inverse(sk_c4)=sk_c3|~sQ1_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f510,f86])).
% 0.14/10.44 fof(f510,plain,(
% 0.14/10.44 sk_c6=sk_c3|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f496,f498])).
% 0.14/10.44 fof(f542,plain,(
% 0.14/10.44 ![X0]: (~multiply(X0,sk_c7)=sk_c3|~inverse(X0)=sk_c7|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f510,f134])).
% 0.14/10.44 fof(f555,plain,(
% 0.14/10.44 ![X0]: (multiply(sk_c3,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f507,f35])).
% 0.14/10.44 fof(f574,plain,(
% 0.14/10.44 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f507,f36])).
% 0.14/10.44 fof(f575,plain,(
% 0.14/10.44 multiply(sk_c3,sk_c4)=sk_c3|~sQ1_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f508,f574])).
% 0.14/10.44 fof(f579,plain,(
% 0.14/10.44 sk_c4=sk_c3|~sQ1_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f555,f575])).
% 0.14/10.44 fof(f587,plain,(
% 0.14/10.44 inverse(sk_c4)=sk_c4|~sQ1_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f579,f508])).
% 0.14/10.44 fof(f592,plain,(
% 0.14/10.44 sk_c7=sk_c4|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f579,f499])).
% 0.14/10.44 fof(f599,plain,(
% 0.14/10.44 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f579,f504])).
% 0.14/10.44 fof(f683,definition,(
% 0.14/10.44 sQ26_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.14/10.44 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/10.44 fof(f685,plain,(
% 0.14/10.44 ~inverse(sk_c4)=sk_c5|sQ26_spl),
% 0.14/10.44 inference(component_clause,[status(thm)],[f683])).
% 0.14/10.44 fof(f686,plain,(
% 0.14/10.44 ~sQ20_spl|~sQ26_spl|~sQ12_spl|~sQ5_spl),
% 0.14/10.44 inference(split_clause,[status(thm)],[f161,f408,f683,f136,f89])).
% 0.14/10.44 fof(f761,plain,(
% 0.14/10.44 ![X0]: (~multiply(X0,sk_c4)=sk_c3|~inverse(X0)=sk_c7|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f592,f542])).
% 0.14/10.44 fof(f762,plain,(
% 0.14/10.44 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c7|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f579,f761])).
% 0.14/10.44 fof(f763,plain,(
% 0.14/10.44 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl)),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f592,f762])).
% 0.14/10.44 fof(f765,plain,(
% 0.14/10.44 ~inverse(inverse(sk_c4))=sk_c4|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl),
% 0.14/10.44 inference(resolution,[status(thm)],[f599,f763])).
% 0.14/10.44 fof(f770,plain,(
% 0.14/10.44 ~inverse(sk_c4)=sk_c4|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f587,f765])).
% 0.14/10.44 fof(f771,plain,(
% 0.14/10.44 ~sk_c4=sk_c4|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f587,f770])).
% 0.14/10.44 fof(f772,plain,(
% 0.14/10.44 $false|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f771])).
% 0.14/10.44 fof(f773,plain,(
% 0.14/10.44 ~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f772])).
% 0.14/10.44 fof(f791,plain,(
% 0.14/10.44 multiply(sk_c7,sk_c3)=identity|~sQ2_spl),
% 0.14/10.44 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.14/10.44 fof(f839,plain,(
% 0.14/10.44 sk_c7=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f482,f447])).
% 0.14/10.44 fof(f843,plain,(
% 0.14/10.44 multiply(sk_c6,sk_c3)=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f839,f791])).
% 0.14/10.44 fof(f844,plain,(
% 0.14/10.44 ~multiply(sk_c5,sk_c6)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ8_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f839,f111])).
% 0.14/10.44 fof(f849,plain,(
% 0.14/10.44 sk_c6=multiply(sk_c7,sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f839,f446])).
% 0.14/10.44 fof(f850,plain,(
% 0.14/10.44 ~inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f839,f72])).
% 0.14/10.44 fof(f851,plain,(
% 0.14/10.44 inverse(sk_c3)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f839,f78])).
% 0.14/10.44 fof(f853,plain,(
% 0.14/10.44 sk_c6=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f839,f849])).
% 0.14/10.44 fof(f854,plain,(
% 0.14/10.44 sk_c6=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f460,f853])).
% 0.14/10.44 fof(f855,plain,(
% 0.14/10.44 sk_c7=sk_c5|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f854,f839])).
% 0.14/10.44 fof(f856,plain,(
% 0.14/10.44 sk_c6=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f854,f482])).
% 0.14/10.44 fof(f862,plain,(
% 0.14/10.44 inverse(sk_c4)=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f854,f86])).
% 0.14/10.44 fof(f864,plain,(
% 0.14/10.44 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f854,f856])).
% 0.14/10.44 fof(f865,plain,(
% 0.14/10.44 sk_c5=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f36,f864])).
% 0.14/10.44 fof(f869,plain,(
% 0.14/10.44 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f865,f35])).
% 0.14/10.44 fof(f870,plain,(
% 0.14/10.44 ~multiply(sk_c5,sk_c5)=sk_c6|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ8_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f854,f844])).
% 0.14/10.44 fof(f871,plain,(
% 0.14/10.44 ~multiply(sk_c5,sk_c5)=sk_c5|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ8_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f854,f870])).
% 0.14/10.44 fof(f876,plain,(
% 0.14/10.44 ~inverse(sk_c5)=sk_c6|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f854,f850])).
% 0.14/10.44 fof(f877,plain,(
% 0.14/10.44 ~inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f854,f876])).
% 0.14/10.44 fof(f878,plain,(
% 0.14/10.44 inverse(sk_c3)=sk_c5|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f854,f851])).
% 0.14/10.44 fof(f882,plain,(
% 0.14/10.44 ~sk_c5=sk_c5|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ8_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f869,f871])).
% 0.14/10.44 fof(f885,plain,(
% 0.14/10.44 $false|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ8_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f882])).
% 0.14/10.44 fof(f886,plain,(
% 0.14/10.44 ~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ8_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f885])).
% 0.14/10.44 fof(f903,plain,(
% 0.14/10.44 ~sk_c5=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ26_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f862,f685])).
% 0.14/10.44 fof(f904,plain,(
% 0.14/10.44 $false|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ26_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f903])).
% 0.14/10.44 fof(f905,plain,(
% 0.14/10.44 ~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|sQ26_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f904])).
% 0.14/10.44 fof(f906,plain,(
% 0.14/10.44 ~sk_c5=sk_c6|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ20_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f855,f410])).
% 0.14/10.44 fof(f907,plain,(
% 0.14/10.44 ~sk_c5=sk_c5|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ20_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f854,f906])).
% 0.14/10.44 fof(f908,plain,(
% 0.14/10.44 $false|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ20_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f907])).
% 0.14/10.44 fof(f909,plain,(
% 0.14/10.44 ~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ20_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f908])).
% 0.14/10.44 fof(f910,plain,(
% 0.14/10.44 multiply(sk_c5,sk_c3)=identity|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f854,f843])).
% 0.14/10.44 fof(f911,plain,(
% 0.14/10.44 sk_c5=sk_c3|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f912,f865])).
% 0.14/10.44 fof(f912,plain,(
% 0.14/10.44 sk_c3=identity|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f869,f910])).
% 0.14/10.44 fof(f915,plain,(
% 0.14/10.44 inverse(sk_c3)=sk_c3|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f911,f878])).
% 0.14/10.44 fof(f916,plain,(
% 0.14/10.44 ~inverse(sk_c5)=sk_c3|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/10.44 inference(backward_demodulation,[status(thm)],[f911,f877])).
% 0.14/10.44 fof(f921,plain,(
% 0.14/10.44 ~inverse(sk_c3)=sk_c3|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f911,f916])).
% 0.14/10.44 fof(f929,plain,(
% 0.14/10.44 ~sk_c3=sk_c3|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/10.44 inference(forward_demodulation,[status(thm)],[f915,f921])).
% 0.14/10.44 fof(f930,plain,(
% 0.14/10.44 $false|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/10.44 inference(trivial_equality_resolution,[status(thm)],[f929])).
% 0.14/10.44 fof(f931,plain,(
% 0.14/10.44 ~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|sQ0_spl),
% 0.14/10.44 inference(contradiction_clause,[status(thm)],[f930])).
% 0.14/10.44 fof(f932,plain,(
% 0.14/10.44 $false),
% 0.14/10.44 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f151,f158,f164,f178,f188,f336,f403,f411,f435,f439,f686,f773,f886,f905,f909,f931])).
% 0.14/10.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.46 % Elapsed time: 0.072151 seconds
% 0.14/10.46 % CPU time: 0.230338 seconds
% 0.14/10.46 % Total memory used: 104.831 MB
% 0.14/10.46 % Net memory used: 104.578 MB
%------------------------------------------------------------------------------