%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP294-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:24 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP294-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n003.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 20:10:00 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,axiom,(
% 0.13/0.37 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f18,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f19,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f20,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f21,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f22,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f23,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f24,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f25,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f26,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f27,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f28,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f29,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f30,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f31,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f32,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f33,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f34,negated_conjecture,(
% 0.13/0.38 (![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| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.38 fof(f59,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.38 fof(f60,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 ![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)|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ![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|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.38 fof(f70,definition,(
% 0.13/0.38 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f71,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.38 fof(f72,plain,(
% 0.13/0.38 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.38 fof(f73,definition,(
% 0.13/0.38 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.38 fof(f76,plain,(
% 0.13/0.38 sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.13/0.38 fof(f77,definition,(
% 0.13/0.38 sQ2_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f78,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c6)=sk_c7|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 sQ0_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.38 fof(f81,definition,(
% 0.13/0.38 sQ3_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f82,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c6|~sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.38 fof(f84,plain,(
% 0.13/0.38 sQ0_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.38 fof(f85,definition,(
% 0.13/0.38 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 sQ0_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.13/0.38 fof(f89,definition,(
% 0.13/0.38 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 sQ0_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.13/0.38 fof(f93,definition,(
% 0.13/0.38 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f94,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 sQ6_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 sQ6_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 sQ6_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 sQ6_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 sQ6_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.13/0.38 fof(f101,definition,(
% 0.13/0.38 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f102,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.38 fof(f104,plain,(
% 0.13/0.38 sQ7_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.13/0.38 fof(f105,plain,(
% 0.13/0.38 sQ7_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 sQ7_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.13/0.38 fof(f107,plain,(
% 0.13/0.38 sQ7_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.13/0.38 fof(f108,plain,(
% 0.13/0.38 sQ7_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.13/0.38 fof(f109,definition,(
% 0.13/0.38 sQ8_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|~sQ8_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 ~multiply(sk_c7,sk_c5)=sk_c6|sQ8_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 sQ8_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.13/0.38 fof(f113,plain,(
% 0.13/0.38 sQ8_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.13/0.38 fof(f114,plain,(
% 0.13/0.38 sQ8_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 sQ8_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 sQ8_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.13/0.38 fof(f117,definition,(
% 0.13/0.38 sQ9_spl <=> (multiply(sk_c2,sk_c7)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c7)=sk_c5|~sQ9_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.38 fof(f120,plain,(
% 0.13/0.38 sQ9_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.13/0.38 fof(f121,plain,(
% 0.13/0.38 sQ9_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.13/0.38 fof(f122,plain,(
% 0.13/0.38 sQ9_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.13/0.38 fof(f123,plain,(
% 0.13/0.38 sQ9_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.13/0.38 fof(f124,plain,(
% 0.13/0.38 sQ9_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.13/0.38 fof(f125,definition,(
% 0.13/0.38 sQ10_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f126,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c7|~sQ10_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.38 fof(f128,plain,(
% 0.13/0.38 sQ10_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 sQ10_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.13/0.38 fof(f130,plain,(
% 0.13/0.38 sQ10_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.13/0.38 fof(f131,plain,(
% 0.13/0.38 sQ10_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.13/0.38 fof(f132,plain,(
% 0.13/0.38 sQ10_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.13/0.38 fof(f133,definition,(
% 0.13/0.38 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f134,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.38 fof(f136,definition,(
% 0.13/0.38 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f137,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.38 fof(f139,definition,(
% 0.13/0.38 ![X2]: (sQ13_spl <=> (~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ13_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.38 fof(f142,definition,(
% 0.13/0.38 ![X3]: (sQ14_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f143,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ14_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.38 fof(f145,plain,(
% 0.13/0.38 ~sQ0_spl|sQ11_spl|~sQ8_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f69,f70,f133,f109,f136,f73,f139,f142])).
% 0.13/0.38 fof(f146,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c6|~sQ14_spl|~sQ5_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f143,f90])).
% 0.13/0.38 fof(f148,plain,(
% 0.13/0.38 ~sk_c6=sk_c6|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.13/0.38 fof(f149,plain,(
% 0.13/0.38 $false|~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.13/0.38 fof(f150,plain,(
% 0.13/0.38 ~sQ4_spl|~sQ14_spl|~sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f149])).
% 0.13/0.38 fof(f151,plain,(
% 0.13/0.38 ~inverse(sk_c3)=sk_c6|~sQ13_spl|~sQ2_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f140,f78])).
% 0.13/0.38 fof(f152,plain,(
% 0.13/0.38 ~sk_c5=sk_c7|~inverse(sk_c7)=sk_c6|~sQ13_spl|~sQ0_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.13/0.38 fof(f154,plain,(
% 0.13/0.38 ~sk_c6=sk_c6|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f82,f151])).
% 0.13/0.38 fof(f155,plain,(
% 0.13/0.38 $false|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f154])).
% 0.13/0.38 fof(f156,plain,(
% 0.13/0.38 ~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f155])).
% 0.13/0.38 fof(f157,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ9_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f137,f118])).
% 0.13/0.38 fof(f160,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f126,f157])).
% 0.13/0.38 fof(f161,plain,(
% 0.13/0.38 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f160])).
% 0.13/0.38 fof(f162,plain,(
% 0.13/0.38 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f161])).
% 0.13/0.38 fof(f172,plain,(
% 0.13/0.38 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ6_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f134,f94])).
% 0.13/0.38 fof(f176,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f102,f172])).
% 0.13/0.38 fof(f177,plain,(
% 0.13/0.38 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f176])).
% 0.13/0.38 fof(f178,plain,(
% 0.13/0.38 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f177])).
% 0.13/0.38 fof(f179,definition,(
% 0.13/0.38 sQ15_spl <=> (sk_c5=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f181,plain,(
% 0.13/0.38 ~sk_c5=sk_c7|sQ15_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f179])).
% 0.13/0.38 fof(f182,definition,(
% 0.13/0.38 sQ16_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f184,plain,(
% 0.13/0.38 ~inverse(sk_c7)=sk_c6|sQ16_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f182])).
% 0.13/0.38 fof(f185,plain,(
% 0.13/0.38 ~sQ15_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f152,f179,f182,f139,f70])).
% 0.13/0.38 fof(f186,definition,(
% 0.13/0.38 sQ17_spl <=> (sk_c7=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f188,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|sQ17_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f186])).
% 0.13/0.38 fof(f190,plain,(
% 0.13/0.38 $false|sQ17_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f188])).
% 0.13/0.38 fof(f191,plain,(
% 0.13/0.38 sQ17_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f190])).
% 0.13/0.38 fof(f194,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c2)=identity|~sQ10_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.13/0.38 fof(f195,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.38 fof(f196,plain,(
% 0.13/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f35,f195])).
% 0.13/0.38 fof(f204,plain,(
% 0.13/0.38 sk_c7=multiply(inverse(sk_c6),sk_c5)|~sQ1_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f74,f196])).
% 0.13/0.38 fof(f207,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f35,f196])).
% 0.13/0.38 fof(f213,plain,(
% 0.13/0.38 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ6_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f94,f196])).
% 0.13/0.38 fof(f214,plain,(
% 0.13/0.38 sk_c7=multiply(inverse(sk_c2),sk_c5)|~sQ9_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f118,f196])).
% 0.13/0.38 fof(f217,plain,(
% 0.13/0.38 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f102,f213])).
% 0.13/0.38 fof(f218,plain,(
% 0.13/0.38 sk_c7=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f71,f217])).
% 0.13/0.38 fof(f219,plain,(
% 0.13/0.38 $false|sQ15_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f218,f181])).
% 0.13/0.38 fof(f220,plain,(
% 0.13/0.38 sQ15_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f219])).
% 0.13/0.38 fof(f221,plain,(
% 0.13/0.38 sk_c7=multiply(sk_c7,sk_c5)|~sQ10_spl|~sQ9_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f126,f214])).
% 0.13/0.38 fof(f222,plain,(
% 0.13/0.38 sk_c7=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f110,f221])).
% 0.13/0.38 fof(f224,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c2)=identity|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f222,f194])).
% 0.13/0.38 fof(f226,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c5)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f222,f110])).
% 0.13/0.38 fof(f231,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c6|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f222,f126])).
% 0.13/0.38 fof(f232,plain,(
% 0.13/0.38 sk_c5=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f218,f222])).
% 0.13/0.38 fof(f238,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f232,f231])).
% 0.13/0.38 fof(f241,plain,(
% 0.13/0.38 ~multiply(sk_c5,sk_c7)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f232,f75])).
% 0.13/0.38 fof(f242,plain,(
% 0.13/0.38 ~multiply(sk_c5,sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f218,f241])).
% 0.13/0.38 fof(f243,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c5)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f232,f226])).
% 0.13/0.38 fof(f244,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f232,f243])).
% 0.13/0.38 fof(f245,plain,(
% 0.13/0.38 $false|sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f244,f242])).
% 0.13/0.38 fof(f246,plain,(
% 0.13/0.38 sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f245])).
% 0.13/0.38 fof(f247,plain,(
% 0.13/0.38 ~inverse(sk_c5)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f218,f184])).
% 0.13/0.38 fof(f248,plain,(
% 0.13/0.38 ~inverse(sk_c5)=sk_c5|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f232,f247])).
% 0.13/0.38 fof(f253,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c6),sk_c5)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f218,f204])).
% 0.13/0.38 fof(f254,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f232,f253])).
% 0.13/0.38 fof(f255,plain,(
% 0.13/0.38 sk_c5=identity|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f36,f254])).
% 0.13/0.38 fof(f265,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f255,f36])).
% 0.13/0.38 fof(f266,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c5,X0)=X0|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f255,f35])).
% 0.13/0.38 fof(f286,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c2)=identity|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f232,f224])).
% 0.13/0.38 fof(f287,plain,(
% 0.13/0.38 sk_c5=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f288,f255])).
% 0.13/0.38 fof(f288,plain,(
% 0.13/0.38 sk_c2=identity|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f266,f286])).
% 0.13/0.38 fof(f292,plain,(
% 0.13/0.38 ~inverse(sk_c5)=sk_c2|~sQ1_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ16_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f287,f248])).
% 0.13/0.38 fof(f294,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c2|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f287,f238])).
% 0.13/0.38 fof(f296,plain,(
% 0.13/0.38 sk_c2=sk_c6|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f287,f232])).
% 0.13/0.38 fof(f298,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c2|~sQ1_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f287,f292])).
% 0.13/0.38 fof(f309,plain,(
% 0.13/0.38 $false|sQ16_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f294,f298])).
% 0.13/0.38 fof(f310,plain,(
% 0.13/0.38 sQ16_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f309])).
% 0.13/0.38 fof(f313,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c5)=sk_c6|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f296,f143])).
% 0.13/0.38 fof(f314,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c6|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f287,f313])).
% 0.13/0.38 fof(f315,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c2|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ14_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f296,f314])).
% 0.13/0.38 fof(f340,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f287,f265])).
% 0.13/0.38 fof(f355,plain,(
% 0.13/0.38 ~inverse(inverse(sk_c2))=sk_c2|~sQ14_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f315,f340])).
% 0.13/0.38 fof(f364,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f294,f355])).
% 0.13/0.38 fof(f365,plain,(
% 0.13/0.38 ~sk_c2=sk_c2|~sQ14_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f294,f364])).
% 0.13/0.38 fof(f366,plain,(
% 0.13/0.38 $false|~sQ14_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f365])).
% 0.13/0.38 fof(f367,plain,(
% 0.13/0.38 ~sQ14_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f366])).
% 0.13/0.38 fof(f369,plain,(
% 0.13/0.38 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ2_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f78,f196])).
% 0.13/0.38 fof(f371,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(sk_c6,multiply(sk_c3,X0))|~sQ3_spl)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f82,f196])).
% 0.13/0.38 fof(f374,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f90,f196])).
% 0.13/0.38 fof(f376,plain,(
% 0.13/0.38 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f86,f374])).
% 0.13/0.38 fof(f377,plain,(
% 0.13/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f196,f207])).
% 0.13/0.38 fof(f379,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f207,f196])).
% 0.13/0.38 fof(f389,plain,(
% 0.13/0.38 sk_c6=multiply(inverse(sk_c6),sk_c5)|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f376,f196])).
% 0.13/0.38 fof(f410,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c3)=identity|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.13/0.38 fof(f432,plain,(
% 0.13/0.38 sk_c6=multiply(sk_c6,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f82,f369])).
% 0.13/0.38 fof(f435,plain,(
% 0.13/0.38 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f450,f204])).
% 0.13/0.38 fof(f437,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c3)=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f450,f410])).
% 0.13/0.38 fof(f444,plain,(
% 0.13/0.38 ~multiply(sk_c7,sk_c5)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f450,f72])).
% 0.13/0.38 fof(f445,plain,(
% 0.13/0.38 multiply(sk_c4,sk_c5)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f450,f90])).
% 0.13/0.38 fof(f449,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f450,f86])).
% 0.13/0.38 fof(f450,plain,(
% 0.13/0.38 sk_c6=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f74,f432])).
% 0.13/0.38 fof(f451,plain,(
% 0.13/0.38 sk_c7=identity|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f36,f435])).
% 0.13/0.38 fof(f453,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f451,f36])).
% 0.13/0.38 fof(f455,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c7,X0)=X0|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f451,f377])).
% 0.13/0.38 fof(f465,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c3)=sk_c7|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f451,f437])).
% 0.13/0.38 fof(f472,plain,(
% 0.13/0.38 ~sk_c5=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f455,f444])).
% 0.13/0.38 fof(f473,plain,(
% 0.13/0.38 $false|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f472])).
% 0.13/0.38 fof(f474,plain,(
% 0.13/0.38 ~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f473])).
% 0.13/0.38 fof(f478,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f450,f134])).
% 0.13/0.38 fof(f487,plain,(
% 0.13/0.38 ~sk_c5=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f455,f111])).
% 0.13/0.38 fof(f488,plain,(
% 0.13/0.38 ~sk_c5=sk_c5|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f450,f487])).
% 0.13/0.38 fof(f489,plain,(
% 0.13/0.38 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ8_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f488])).
% 0.13/0.38 fof(f490,plain,(
% 0.13/0.38 ~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ8_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f489])).
% 0.13/0.38 fof(f518,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(sk_c5,multiply(sk_c3,X0))|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f450,f371])).
% 0.13/0.38 fof(f524,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(inverse(inverse(sk_c7)),X0)|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f451,f379])).
% 0.13/0.38 fof(f526,plain,(
% 0.13/0.38 inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f453,f524])).
% 0.13/0.38 fof(f537,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c6),sk_c5)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f450,f389])).
% 0.13/0.38 fof(f538,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f450,f537])).
% 0.13/0.38 fof(f539,plain,(
% 0.13/0.38 inverse(sk_c7)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f549,f526])).
% 0.13/0.38 fof(f544,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c3)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f549,f465])).
% 0.13/0.38 fof(f546,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c5,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f549,f455])).
% 0.13/0.38 fof(f549,plain,(
% 0.13/0.38 sk_c5=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f453,f538])).
% 0.13/0.38 fof(f550,plain,(
% 0.13/0.38 inverse(sk_c5)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f549,f539])).
% 0.13/0.38 fof(f552,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f549,f478])).
% 0.13/0.38 fof(f553,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f549,f552])).
% 0.13/0.38 fof(f554,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c5|~sQ4_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f553,f445])).
% 0.13/0.38 fof(f559,plain,(
% 0.13/0.38 ~sk_c5=sk_c5|~sQ4_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f449,f554])).
% 0.13/0.38 fof(f560,plain,(
% 0.13/0.38 $false|~sQ4_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f559])).
% 0.13/0.38 fof(f561,plain,(
% 0.13/0.38 ~sQ4_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f560])).
% 0.13/0.38 fof(f595,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ12_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f549,f137])).
% 0.13/0.38 fof(f596,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ12_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f549,f595])).
% 0.13/0.38 fof(f603,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(sk_c3,X0)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f546,f518])).
% 0.13/0.38 fof(f615,plain,(
% 0.13/0.38 inverse(sk_c5)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f622,f550])).
% 0.13/0.38 fof(f622,plain,(
% 0.13/0.38 sk_c3=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f546,f544])).
% 0.13/0.38 fof(f623,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f622,f615])).
% 0.13/0.38 fof(f635,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c3)=sk_c5|~inverse(X0)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ12_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f622,f596])).
% 0.13/0.38 fof(f636,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ12_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f622,f635])).
% 0.13/0.38 fof(f637,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c3|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ12_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f622,f636])).
% 0.13/0.38 fof(f639,plain,(
% 0.13/0.38 ~inverse(sk_c3)=sk_c3|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f637,f603])).
% 0.13/0.38 fof(f643,plain,(
% 0.13/0.38 ~sk_c3=sk_c3|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f623,f639])).
% 0.13/0.38 fof(f644,plain,(
% 0.13/0.38 $false|~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f643])).
% 0.13/0.38 fof(f645,plain,(
% 0.13/0.38 ~sQ12_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f644])).
% 0.13/0.38 fof(f646,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 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,f150,f156,f162,f178,f185,f191,f220,f246,f310,f367,f474,f490,f561,f645])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.050379 seconds
% 0.13/0.41 % CPU time: 0.185946 seconds
% 0.13/0.41 % Total memory used: 104.148 MB
% 0.13/0.41 % Net memory used: 103.918 MB
%------------------------------------------------------------------------------