%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP345-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:29 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP345-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:10:11 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f2,axiom,(
% 0.09/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f3,axiom,(
% 0.09/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f4,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f7,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f8,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f9,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f10,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f11,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f12,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f13,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f14,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f15,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f16,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f17,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f18,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f19,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f20,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f21,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f22,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f23,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f24,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f25,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f26,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f27,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f28,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f29,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f30,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f31,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f32,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f33,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f34,negated_conjecture,(
% 0.09/0.41 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| inverse(X3) != sk_c7| multiply(X3,sk_c6) != sk_c7| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(sk_c6,sk_c5) != sk_c7| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| inverse(sk_c6) != sk_c5| multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6 ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f35,plain,(
% 0.09/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.41 fof(f36,plain,(
% 0.09/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.41 fof(f37,plain,(
% 0.09/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.41 fof(f38,plain,(
% 0.09/0.41 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c6,sk_c5)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.41 fof(f41,plain,(
% 0.09/0.41 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.41 fof(f42,plain,(
% 0.09/0.41 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c4,sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.41 fof(f43,plain,(
% 0.09/0.41 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.41 fof(f44,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.41 fof(f45,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.41 fof(f46,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.41 fof(f47,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.41 fof(f48,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.41 fof(f49,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.41 fof(f50,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.41 fof(f51,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.41 fof(f52,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.41 fof(f53,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.41 fof(f54,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.41 fof(f55,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.41 fof(f56,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c5)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.41 fof(f57,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.41 fof(f58,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.41 fof(f59,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.41 fof(f60,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.41 fof(f61,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.41 fof(f62,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c6,sk_c5)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.41 fof(f63,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.41 fof(f64,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.41 fof(f65,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.41 fof(f66,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.41 fof(f67,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.41 fof(f68,plain,(
% 0.09/0.41 ![X2]: ((((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X3)=sk_c7)|~multiply(X3,sk_c6)=sk_c7))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(sk_c6,sk_c5)=sk_c7)|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~inverse(sk_c6)=sk_c5)|~multiply(X2,sk_c6)=sk_c5)|~inverse(X2)=sk_c6)),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f34])).
% 0.09/0.41 fof(f69,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7|~inverse(sk_c6)=sk_c5|~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f68])).
% 0.09/0.41 fof(f70,definition,(
% 0.09/0.41 sQ0_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f71,plain,(
% 0.09/0.41 multiply(sk_c6,sk_c7)=sk_c5|~sQ0_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.09/0.41 fof(f72,plain,(
% 0.09/0.41 ~multiply(sk_c6,sk_c7)=sk_c5|sQ0_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.09/0.41 fof(f73,definition,(
% 0.09/0.41 sQ1_spl <=> (multiply(sk_c6,sk_c5)=sk_c7)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f74,plain,(
% 0.09/0.41 multiply(sk_c6,sk_c5)=sk_c7|~sQ1_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.09/0.41 fof(f75,plain,(
% 0.09/0.41 ~multiply(sk_c6,sk_c5)=sk_c7|sQ1_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.09/0.41 fof(f76,plain,(
% 0.09/0.41 sQ0_spl|sQ1_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.09/0.41 fof(f77,definition,(
% 0.09/0.41 sQ2_spl <=> (multiply(sk_c3,sk_c7)=sk_c6)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f78,plain,(
% 0.09/0.41 multiply(sk_c3,sk_c7)=sk_c6|~sQ2_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.09/0.41 fof(f81,definition,(
% 0.09/0.41 sQ3_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f82,plain,(
% 0.09/0.41 inverse(sk_c3)=sk_c7|~sQ3_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.09/0.41 fof(f85,definition,(
% 0.09/0.41 sQ4_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f86,plain,(
% 0.09/0.41 inverse(sk_c6)=sk_c5|~sQ4_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.41 fof(f87,plain,(
% 0.09/0.41 ~inverse(sk_c6)=sk_c5|sQ4_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.41 fof(f88,plain,(
% 0.09/0.41 sQ0_spl|sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.09/0.41 fof(f89,definition,(
% 0.09/0.41 sQ5_spl <=> (multiply(sk_c4,sk_c6)=sk_c5)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f90,plain,(
% 0.09/0.41 multiply(sk_c4,sk_c6)=sk_c5|~sQ5_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.41 fof(f92,plain,(
% 0.09/0.41 sQ0_spl|sQ5_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.09/0.41 fof(f93,definition,(
% 0.09/0.41 sQ6_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f94,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c6|~sQ6_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.09/0.41 fof(f96,plain,(
% 0.09/0.41 sQ0_spl|sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.09/0.41 fof(f97,definition,(
% 0.09/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f98,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.09/0.41 fof(f100,plain,(
% 0.09/0.41 sQ7_spl|sQ1_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.09/0.41 fof(f101,plain,(
% 0.09/0.41 sQ7_spl|sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.09/0.41 fof(f102,plain,(
% 0.09/0.41 sQ7_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.09/0.41 fof(f103,plain,(
% 0.09/0.41 sQ7_spl|sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.09/0.41 fof(f104,plain,(
% 0.09/0.41 sQ7_spl|sQ5_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.09/0.41 fof(f105,plain,(
% 0.09/0.41 sQ7_spl|sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.09/0.41 fof(f106,definition,(
% 0.09/0.41 sQ8_spl <=> (multiply(sk_c1,sk_c6)=sk_c7)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f107,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c6)=sk_c7|~sQ8_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f106])).
% 0.09/0.41 fof(f109,plain,(
% 0.09/0.41 sQ8_spl|sQ1_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.09/0.41 fof(f110,plain,(
% 0.09/0.41 sQ8_spl|sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.09/0.41 fof(f111,plain,(
% 0.09/0.41 sQ8_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.09/0.41 fof(f112,plain,(
% 0.09/0.41 sQ8_spl|sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.09/0.41 fof(f113,plain,(
% 0.09/0.41 sQ8_spl|sQ5_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.09/0.41 fof(f114,plain,(
% 0.09/0.41 sQ8_spl|sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.09/0.41 fof(f115,definition,(
% 0.09/0.41 sQ9_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f116,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c6|~sQ9_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.09/0.41 fof(f118,plain,(
% 0.09/0.41 sQ9_spl|sQ1_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.09/0.41 fof(f119,plain,(
% 0.09/0.41 sQ9_spl|sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.09/0.41 fof(f120,plain,(
% 0.09/0.41 sQ9_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.09/0.41 fof(f121,plain,(
% 0.09/0.41 sQ9_spl|sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.09/0.41 fof(f122,plain,(
% 0.09/0.41 sQ9_spl|sQ5_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.09/0.41 fof(f123,plain,(
% 0.09/0.41 sQ9_spl|sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.09/0.41 fof(f124,definition,(
% 0.09/0.41 sQ10_spl <=> (multiply(sk_c2,sk_c5)=sk_c6)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f125,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c5)=sk_c6|~sQ10_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f124])).
% 0.09/0.41 fof(f127,plain,(
% 0.09/0.41 sQ10_spl|sQ1_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.09/0.41 fof(f128,plain,(
% 0.09/0.41 sQ10_spl|sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.09/0.41 fof(f129,plain,(
% 0.09/0.41 sQ10_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.09/0.41 fof(f130,plain,(
% 0.09/0.41 sQ10_spl|sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.09/0.41 fof(f131,plain,(
% 0.09/0.41 sQ10_spl|sQ5_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.09/0.41 fof(f132,plain,(
% 0.09/0.41 sQ10_spl|sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.09/0.41 fof(f133,definition,(
% 0.09/0.41 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f134,plain,(
% 0.09/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ11_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.09/0.41 fof(f136,definition,(
% 0.09/0.41 ![X1]: (sQ12_spl <=> (~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f137,plain,(
% 0.09/0.41 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ12_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.09/0.41 fof(f139,definition,(
% 0.09/0.41 ![X2]: (sQ13_spl <=> (~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f140,plain,(
% 0.09/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f139])).
% 0.09/0.41 fof(f142,definition,(
% 0.09/0.41 ![X3]: (sQ14_spl <=> (~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f143,plain,(
% 0.09/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ14_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f142])).
% 0.09/0.41 fof(f145,plain,(
% 0.09/0.41 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|~sQ4_spl|sQ14_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f85,f142])).
% 0.09/0.41 fof(f146,plain,(
% 0.09/0.41 ~inverse(sk_c4)=sk_c6|~sQ14_spl|~sQ5_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f143,f90])).
% 0.09/0.41 fof(f148,plain,(
% 0.09/0.41 ~sk_c7=sk_c5|~inverse(sk_c1)=sk_c6|~sQ14_spl|~sQ8_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f107,f143])).
% 0.09/0.41 fof(f149,plain,(
% 0.09/0.41 ~sk_c6=sk_c6|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f94,f146])).
% 0.09/0.41 fof(f150,plain,(
% 0.09/0.41 $false|~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f149])).
% 0.09/0.41 fof(f151,plain,(
% 0.09/0.41 ~sQ6_spl|~sQ14_spl|~sQ5_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f150])).
% 0.09/0.41 fof(f152,plain,(
% 0.09/0.41 ~inverse(sk_c3)=sk_c7|~sQ13_spl|~sQ2_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f140,f78])).
% 0.09/0.41 fof(f153,plain,(
% 0.09/0.41 ~sk_c5=sk_c6|~inverse(sk_c6)=sk_c7|~sQ13_spl|~sQ0_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.09/0.41 fof(f155,plain,(
% 0.09/0.41 ~sk_c7=sk_c7|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f82,f152])).
% 0.09/0.41 fof(f156,plain,(
% 0.09/0.41 $false|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f155])).
% 0.09/0.41 fof(f157,plain,(
% 0.09/0.41 ~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f156])).
% 0.09/0.41 fof(f158,plain,(
% 0.09/0.41 ~inverse(sk_c2)=sk_c6|~sQ12_spl|~sQ10_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f137,f125])).
% 0.09/0.41 fof(f160,plain,(
% 0.09/0.41 ~sk_c6=sk_c6|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f116,f158])).
% 0.09/0.41 fof(f161,plain,(
% 0.09/0.41 $false|~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f160])).
% 0.09/0.41 fof(f162,plain,(
% 0.09/0.41 ~sQ9_spl|~sQ12_spl|~sQ10_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f161])).
% 0.09/0.41 fof(f170,plain,(
% 0.09/0.41 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ8_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f134,f107])).
% 0.09/0.41 fof(f174,plain,(
% 0.09/0.41 ~sk_c7=sk_c7|~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f98,f170])).
% 0.09/0.41 fof(f175,plain,(
% 0.09/0.41 $false|~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f174])).
% 0.09/0.41 fof(f176,plain,(
% 0.09/0.41 ~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f175])).
% 0.09/0.41 fof(f180,definition,(
% 0.09/0.41 sQ16_spl <=> (sk_c5=sk_c7)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f182,plain,(
% 0.09/0.41 ~sk_c5=sk_c7|sQ16_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f180])).
% 0.09/0.41 fof(f188,plain,(
% 0.09/0.41 ~inverse(identity)=sk_c7|~sk_c6=sk_c7|~sQ11_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f35,f134])).
% 0.09/0.41 fof(f190,definition,(
% 0.09/0.41 sQ18_spl <=> (inverse(identity)=sk_c7)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f192,plain,(
% 0.09/0.41 ~inverse(identity)=sk_c7|sQ18_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f190])).
% 0.09/0.41 fof(f193,definition,(
% 0.09/0.41 sQ19_spl <=> (sk_c6=sk_c7)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f195,plain,(
% 0.09/0.41 ~sk_c6=sk_c7|sQ19_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f193])).
% 0.09/0.41 fof(f196,plain,(
% 0.09/0.41 ~sQ18_spl|~sQ19_spl|~sQ11_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f188,f190,f193,f133])).
% 0.09/0.41 fof(f198,plain,(
% 0.09/0.41 multiply(sk_c6,sk_c4)=identity|~sQ6_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.09/0.41 fof(f202,plain,(
% 0.09/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.09/0.41 fof(f210,plain,(
% 0.09/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f35,f202])).
% 0.09/0.41 fof(f214,plain,(
% 0.09/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~sQ6_spl)),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f198,f37])).
% 0.09/0.41 fof(f215,plain,(
% 0.09/0.41 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~sQ6_spl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f35,f214])).
% 0.09/0.41 fof(f242,plain,(
% 0.09/0.41 sk_c6=multiply(sk_c6,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f90,f215])).
% 0.09/0.41 fof(f246,plain,(
% 0.09/0.41 sk_c6=sk_c7|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f74,f242])).
% 0.09/0.41 fof(f247,plain,(
% 0.09/0.41 $false|sQ19_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f246,f195])).
% 0.09/0.41 fof(f248,plain,(
% 0.09/0.41 sQ19_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f247])).
% 0.09/0.41 fof(f254,plain,(
% 0.09/0.41 multiply(sk_c7,sk_c4)=identity|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f246,f198])).
% 0.09/0.41 fof(f255,plain,(
% 0.09/0.41 multiply(sk_c7,sk_c5)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f246,f74])).
% 0.09/0.41 fof(f256,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c7|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f246,f94])).
% 0.09/0.41 fof(f257,plain,(
% 0.09/0.41 inverse(sk_c7)=sk_c5|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f246,f86])).
% 0.09/0.41 fof(f262,plain,(
% 0.09/0.41 ~multiply(sk_c7,sk_c7)=sk_c5|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f246,f72])).
% 0.09/0.41 fof(f264,plain,(
% 0.09/0.41 multiply(sk_c5,sk_c7)=identity|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f257,f36])).
% 0.09/0.41 fof(f286,plain,(
% 0.09/0.41 sk_c5=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f255,f210])).
% 0.09/0.41 fof(f287,plain,(
% 0.09/0.41 sk_c4=multiply(inverse(sk_c7),identity)|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f254,f210])).
% 0.09/0.41 fof(f291,plain,(
% 0.09/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f35,f210])).
% 0.09/0.41 fof(f296,plain,(
% 0.09/0.41 sk_c5=identity|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f36,f286])).
% 0.09/0.41 fof(f297,plain,(
% 0.09/0.41 sk_c4=multiply(sk_c5,identity)|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f257,f287])).
% 0.09/0.41 fof(f303,plain,(
% 0.09/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ1_spl)),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f296,f36])).
% 0.09/0.41 fof(f304,plain,(
% 0.09/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ6_spl|~sQ5_spl|~sQ1_spl)),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f296,f35])).
% 0.09/0.41 fof(f308,plain,(
% 0.09/0.41 sk_c7=identity|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f304,f264])).
% 0.09/0.41 fof(f315,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c5|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f319,f256])).
% 0.09/0.41 fof(f316,plain,(
% 0.09/0.41 ~multiply(sk_c7,sk_c5)=sk_c5|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f319,f262])).
% 0.09/0.41 fof(f317,plain,(
% 0.09/0.41 sk_c6=sk_c5|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f319,f246])).
% 0.09/0.41 fof(f319,plain,(
% 0.09/0.41 sk_c7=sk_c5|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f296,f308])).
% 0.09/0.41 fof(f322,plain,(
% 0.09/0.41 ~multiply(sk_c5,sk_c5)=sk_c5|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f319,f316])).
% 0.09/0.41 fof(f323,plain,(
% 0.09/0.41 ~sk_c5=sk_c5|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f304,f322])).
% 0.09/0.41 fof(f324,plain,(
% 0.09/0.41 $false|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f323])).
% 0.09/0.41 fof(f325,plain,(
% 0.09/0.41 ~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f324])).
% 0.09/0.41 fof(f358,plain,(
% 0.09/0.41 sk_c5=sk_c4|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f359,f296])).
% 0.09/0.41 fof(f359,plain,(
% 0.09/0.41 sk_c4=identity|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f304,f297])).
% 0.09/0.41 fof(f361,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c4|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f358,f315])).
% 0.09/0.41 fof(f364,plain,(
% 0.09/0.41 sk_c6=sk_c4|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f358,f317])).
% 0.09/0.41 fof(f365,plain,(
% 0.09/0.41 sk_c7=sk_c4|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f358,f319])).
% 0.09/0.41 fof(f368,plain,(
% 0.09/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f358,f303])).
% 0.09/0.41 fof(f407,plain,(
% 0.09/0.41 ![X0]: (~inverse(X0)=sk_c4|~multiply(X0,sk_c5)=sk_c6|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f364,f137])).
% 0.09/0.41 fof(f408,plain,(
% 0.09/0.41 ![X0]: (~inverse(X0)=sk_c4|~multiply(X0,sk_c4)=sk_c6|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f358,f407])).
% 0.09/0.41 fof(f409,plain,(
% 0.09/0.41 ![X0]: (~inverse(X0)=sk_c4|~multiply(X0,sk_c4)=sk_c4|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f364,f408])).
% 0.09/0.41 fof(f410,plain,(
% 0.09/0.41 ~inverse(inverse(sk_c4))=sk_c4|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f409,f368])).
% 0.09/0.41 fof(f417,plain,(
% 0.09/0.41 ~inverse(sk_c4)=sk_c4|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f361,f410])).
% 0.09/0.41 fof(f418,plain,(
% 0.09/0.41 ~sk_c4=sk_c4|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f361,f417])).
% 0.09/0.41 fof(f419,plain,(
% 0.09/0.41 $false|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f418])).
% 0.09/0.41 fof(f420,plain,(
% 0.09/0.41 ~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f419])).
% 0.09/0.41 fof(f421,plain,(
% 0.09/0.41 ~inverse(sk_c4)=sk_c7|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ18_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f359,f192])).
% 0.09/0.41 fof(f422,plain,(
% 0.09/0.41 ~sk_c4=sk_c7|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ18_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f361,f421])).
% 0.09/0.41 fof(f423,plain,(
% 0.09/0.41 ~sk_c4=sk_c4|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ18_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f365,f422])).
% 0.09/0.41 fof(f424,plain,(
% 0.09/0.41 $false|~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ18_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f423])).
% 0.09/0.41 fof(f425,plain,(
% 0.09/0.41 ~sQ4_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ18_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f424])).
% 0.09/0.41 fof(f430,plain,(
% 0.09/0.41 sk_c6=multiply(inverse(sk_c1),sk_c7)|~sQ8_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f107,f210])).
% 0.09/0.41 fof(f432,plain,(
% 0.09/0.41 sk_c6=multiply(sk_c7,sk_c7)|~sQ7_spl|~sQ8_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f98,f430])).
% 0.09/0.41 fof(f435,plain,(
% 0.09/0.41 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f291,f210])).
% 0.09/0.41 fof(f437,plain,(
% 0.09/0.41 sk_c7=multiply(inverse(sk_c6),sk_c5)|~sQ0_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f71,f210])).
% 0.09/0.41 fof(f448,plain,(
% 0.09/0.41 sk_c5=multiply(inverse(sk_c2),sk_c6)|~sQ10_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f125,f210])).
% 0.09/0.41 fof(f450,plain,(
% 0.09/0.41 sk_c5=multiply(sk_c6,sk_c6)|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f116,f448])).
% 0.09/0.41 fof(f468,plain,(
% 0.09/0.41 sk_c7=multiply(inverse(sk_c7),sk_c6)|~sQ7_spl|~sQ8_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f432,f210])).
% 0.09/0.41 fof(f479,plain,(
% 0.09/0.41 sk_c6=multiply(inverse(sk_c6),sk_c5)|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f450,f210])).
% 0.09/0.41 fof(f510,plain,(
% 0.09/0.41 inverse(identity)=identity),
% 0.09/0.41 inference(paramodulation,[status(thm)],[f36,f435])).
% 0.09/0.41 fof(f536,plain,(
% 0.09/0.41 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f556,f468])).
% 0.09/0.41 fof(f542,plain,(
% 0.09/0.41 sk_c5=multiply(sk_c6,sk_c7)|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f556,f450])).
% 0.09/0.41 fof(f549,plain,(
% 0.09/0.41 ~multiply(sk_c7,sk_c5)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f556,f75])).
% 0.09/0.41 fof(f556,plain,(
% 0.09/0.41 sk_c6=sk_c7|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f437,f479])).
% 0.09/0.41 fof(f557,plain,(
% 0.09/0.41 sk_c7=identity|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f36,f536])).
% 0.09/0.41 fof(f558,plain,(
% 0.09/0.41 sk_c5=multiply(sk_c7,sk_c7)|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f556,f542])).
% 0.09/0.41 fof(f560,plain,(
% 0.09/0.41 inverse(identity)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f557,f510])).
% 0.09/0.41 fof(f564,plain,(
% 0.09/0.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl)),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f557,f35])).
% 0.09/0.41 fof(f565,plain,(
% 0.09/0.41 inverse(sk_c7)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f557,f560])).
% 0.09/0.41 fof(f578,plain,(
% 0.09/0.41 sk_c5=sk_c7|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f564,f558])).
% 0.09/0.41 fof(f579,plain,(
% 0.09/0.41 $false|sQ16_spl|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f578,f182])).
% 0.09/0.41 fof(f580,plain,(
% 0.09/0.41 sQ16_spl|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f579])).
% 0.09/0.41 fof(f582,plain,(
% 0.09/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl)),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f578,f564])).
% 0.09/0.41 fof(f583,plain,(
% 0.09/0.41 inverse(sk_c7)=sk_c5|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f578,f565])).
% 0.09/0.41 fof(f586,plain,(
% 0.09/0.41 sk_c6=sk_c5|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f578,f556])).
% 0.09/0.41 fof(f589,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c5|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f578,f98])).
% 0.09/0.41 fof(f591,plain,(
% 0.09/0.41 inverse(sk_c5)=sk_c5|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f578,f583])).
% 0.09/0.41 fof(f592,plain,(
% 0.09/0.41 ~multiply(sk_c5,sk_c5)=sk_c7|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f578,f549])).
% 0.09/0.41 fof(f593,plain,(
% 0.09/0.41 ~multiply(sk_c5,sk_c5)=sk_c5|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f578,f592])).
% 0.09/0.41 fof(f598,plain,(
% 0.09/0.41 ~sk_c5=sk_c5|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f582,f593])).
% 0.09/0.41 fof(f601,plain,(
% 0.09/0.41 $false|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f598])).
% 0.09/0.41 fof(f602,plain,(
% 0.09/0.41 ~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ1_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f601])).
% 0.09/0.41 fof(f603,plain,(
% 0.09/0.41 ~inverse(sk_c5)=sk_c5|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ4_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f586,f87])).
% 0.09/0.41 fof(f629,plain,(
% 0.09/0.41 ~sk_c5=sk_c5|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ4_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f591,f603])).
% 0.09/0.41 fof(f630,plain,(
% 0.09/0.41 $false|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ4_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f629])).
% 0.09/0.41 fof(f631,plain,(
% 0.09/0.41 ~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ4_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f630])).
% 0.09/0.41 fof(f641,definition,(
% 0.09/0.41 sQ24_spl <=> (sk_c5=sk_c6)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f643,plain,(
% 0.09/0.41 ~sk_c5=sk_c6|sQ24_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f641])).
% 0.09/0.41 fof(f644,definition,(
% 0.09/0.41 sQ25_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f646,plain,(
% 0.09/0.41 ~inverse(sk_c6)=sk_c7|sQ25_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f644])).
% 0.09/0.41 fof(f647,plain,(
% 0.09/0.41 ~sQ24_spl|~sQ25_spl|~sQ13_spl|~sQ0_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f153,f641,f644,f139,f70])).
% 0.09/0.41 fof(f650,plain,(
% 0.09/0.41 ~sk_c5=sk_c5|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ24_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f586,f643])).
% 0.09/0.41 fof(f651,plain,(
% 0.09/0.41 $false|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ24_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f650])).
% 0.09/0.41 fof(f652,plain,(
% 0.09/0.41 ~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ24_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f651])).
% 0.09/0.41 fof(f658,definition,(
% 0.09/0.41 sQ26_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f660,plain,(
% 0.09/0.41 ~inverse(sk_c1)=sk_c6|sQ26_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f658])).
% 0.09/0.41 fof(f661,plain,(
% 0.09/0.41 ~sQ16_spl|~sQ26_spl|~sQ14_spl|~sQ8_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f148,f180,f658,f142,f106])).
% 0.09/0.41 fof(f662,plain,(
% 0.09/0.41 ~sk_c5=sk_c6|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|sQ26_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f589,f660])).
% 0.09/0.41 fof(f663,plain,(
% 0.09/0.41 ~sk_c5=sk_c5|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|sQ26_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f586,f662])).
% 0.09/0.41 fof(f664,plain,(
% 0.09/0.41 $false|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|sQ26_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f663])).
% 0.09/0.41 fof(f665,plain,(
% 0.09/0.41 ~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ7_spl|sQ26_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f664])).
% 0.09/0.41 fof(f666,plain,(
% 0.09/0.41 ~inverse(sk_c5)=sk_c7|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f586,f646])).
% 0.09/0.41 fof(f667,plain,(
% 0.09/0.41 ~sk_c5=sk_c7|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f591,f666])).
% 0.09/0.41 fof(f668,plain,(
% 0.09/0.41 ~sk_c5=sk_c5|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f578,f667])).
% 0.09/0.41 fof(f669,plain,(
% 0.09/0.41 $false|~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f668])).
% 0.09/0.41 fof(f670,plain,(
% 0.09/0.41 ~sQ7_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f669])).
% 0.09/0.41 fof(f671,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f76,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f151,f157,f162,f176,f196,f248,f325,f420,f425,f580,f602,f631,f647,f652,f661,f665,f670])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.051657 seconds
% 0.09/0.43 % CPU time: 0.192114 seconds
% 0.09/0.43 % Total memory used: 104.148 MB
% 0.09/0.43 % Net memory used: 103.898 MB
%------------------------------------------------------------------------------