%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP352-1 : 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 : n013.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 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP352-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.53 % Computer : n013.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Sun Sep 20 20:09:24 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.55 % Drodi V4.1.1
% 0.09/0.55 % Refutation found
% 0.09/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.55 fof(f1,axiom,(
% 0.09/0.55 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f2,axiom,(
% 0.09/0.55 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f3,axiom,(
% 0.09/0.55 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f4,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f5,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f6,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f7,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f8,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f9,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f10,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f11,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f12,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f13,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f14,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f15,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f16,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f17,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f18,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f19,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f20,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f21,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f22,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f23,negated_conjecture,(
% 0.09/0.55 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f24,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f25,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f26,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f27,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f28,negated_conjecture,(
% 0.09/0.55 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f29,negated_conjecture,(
% 0.09/0.55 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c5) != sk_c7| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(X2,sk_c6) != sk_c7| inverse(X2) != sk_c6 ) ))),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f30,plain,(
% 0.09/0.55 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.55 fof(f31,plain,(
% 0.09/0.55 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.55 fof(f32,plain,(
% 0.09/0.55 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.55 fof(f33,plain,(
% 0.09/0.55 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.55 fof(f34,plain,(
% 0.09/0.55 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.55 fof(f35,plain,(
% 0.09/0.55 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.55 fof(f36,plain,(
% 0.09/0.55 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.55 fof(f37,plain,(
% 0.09/0.55 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.55 fof(f38,plain,(
% 0.09/0.55 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.55 fof(f39,plain,(
% 0.09/0.55 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.55 fof(f40,plain,(
% 0.09/0.55 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.55 fof(f41,plain,(
% 0.09/0.55 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.55 fof(f42,plain,(
% 0.09/0.55 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.55 fof(f43,plain,(
% 0.09/0.55 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.55 fof(f44,plain,(
% 0.09/0.55 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.55 fof(f45,plain,(
% 0.09/0.55 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.55 fof(f46,plain,(
% 0.09/0.55 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.55 fof(f47,plain,(
% 0.09/0.55 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.55 fof(f48,plain,(
% 0.09/0.55 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.55 fof(f49,plain,(
% 0.09/0.55 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.55 fof(f50,plain,(
% 0.09/0.55 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.55 fof(f51,plain,(
% 0.09/0.55 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.55 fof(f52,plain,(
% 0.09/0.55 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.55 fof(f53,plain,(
% 0.09/0.55 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.55 fof(f54,plain,(
% 0.09/0.55 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.55 fof(f55,plain,(
% 0.09/0.55 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.55 fof(f56,plain,(
% 0.09/0.55 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.55 fof(f57,plain,(
% 0.09/0.55 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.55 fof(f58,plain,(
% 0.09/0.55 ![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(X2,sk_c6)=sk_c7)|~inverse(X2)=sk_c6)),
% 0.09/0.55 inference(miniscoping,[status(thm)],[f29])).
% 0.09/0.55 fof(f59,plain,(
% 0.09/0.55 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~multiply(X3,sk_c6)=sk_c7|~inverse(X3)=sk_c6)),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.55 fof(f60,definition,(
% 0.09/0.55 sQ0_spl <=> (multiply(sk_c6,sk_c5)=sk_c7)),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f61,plain,(
% 0.09/0.55 multiply(sk_c6,sk_c5)=sk_c7|~sQ0_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f60])).
% 0.09/0.55 fof(f62,plain,(
% 0.09/0.55 ~multiply(sk_c6,sk_c5)=sk_c7|sQ0_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f60])).
% 0.09/0.55 fof(f63,definition,(
% 0.09/0.55 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f64,plain,(
% 0.09/0.55 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.55 fof(f65,plain,(
% 0.09/0.55 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.55 fof(f66,plain,(
% 0.09/0.55 sQ0_spl|sQ1_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.09/0.55 fof(f67,definition,(
% 0.09/0.55 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f68,plain,(
% 0.09/0.55 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f67])).
% 0.09/0.55 fof(f70,plain,(
% 0.09/0.55 sQ0_spl|sQ2_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.09/0.55 fof(f71,definition,(
% 0.09/0.55 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f72,plain,(
% 0.09/0.55 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f71])).
% 0.09/0.55 fof(f74,plain,(
% 0.09/0.55 sQ0_spl|sQ3_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.09/0.55 fof(f75,definition,(
% 0.09/0.55 sQ4_spl <=> (multiply(sk_c4,sk_c6)=sk_c7)),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f76,plain,(
% 0.09/0.55 multiply(sk_c4,sk_c6)=sk_c7|~sQ4_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.55 fof(f78,plain,(
% 0.09/0.55 sQ0_spl|sQ4_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.09/0.55 fof(f79,definition,(
% 0.09/0.55 sQ5_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f80,plain,(
% 0.09/0.55 inverse(sk_c4)=sk_c6|~sQ5_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f79])).
% 0.09/0.55 fof(f82,plain,(
% 0.09/0.55 sQ0_spl|sQ5_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.09/0.55 fof(f83,definition,(
% 0.09/0.55 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f84,plain,(
% 0.09/0.55 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.55 fof(f86,plain,(
% 0.09/0.55 sQ6_spl|sQ1_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.09/0.55 fof(f87,plain,(
% 0.09/0.55 sQ6_spl|sQ2_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.09/0.55 fof(f88,plain,(
% 0.09/0.55 sQ6_spl|sQ3_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.09/0.55 fof(f89,plain,(
% 0.09/0.55 sQ6_spl|sQ4_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.09/0.55 fof(f90,plain,(
% 0.09/0.55 sQ6_spl|sQ5_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.09/0.55 fof(f91,definition,(
% 0.09/0.55 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f92,plain,(
% 0.09/0.55 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f91])).
% 0.09/0.55 fof(f94,plain,(
% 0.09/0.55 sQ7_spl|sQ1_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.09/0.55 fof(f95,plain,(
% 0.09/0.55 sQ7_spl|sQ2_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.09/0.56 fof(f96,plain,(
% 0.09/0.56 sQ7_spl|sQ3_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.09/0.56 fof(f97,plain,(
% 0.09/0.56 sQ7_spl|sQ4_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.09/0.56 fof(f98,plain,(
% 0.09/0.56 sQ7_spl|sQ5_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.09/0.56 fof(f99,definition,(
% 0.09/0.56 sQ8_spl <=> (multiply(sk_c2,sk_c6)=sk_c5)),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f100,plain,(
% 0.09/0.56 multiply(sk_c2,sk_c6)=sk_c5|~sQ8_spl),
% 0.09/0.56 inference(component_clause,[status(thm)],[f99])).
% 0.09/0.56 fof(f102,plain,(
% 0.09/0.56 sQ8_spl|sQ1_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.09/0.56 fof(f103,plain,(
% 0.09/0.56 sQ8_spl|sQ2_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.09/0.56 fof(f104,plain,(
% 0.09/0.56 sQ8_spl|sQ3_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.09/0.56 fof(f105,plain,(
% 0.09/0.56 sQ8_spl|sQ4_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.09/0.56 fof(f106,plain,(
% 0.09/0.56 sQ8_spl|sQ5_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.09/0.56 fof(f107,definition,(
% 0.09/0.56 sQ9_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f108,plain,(
% 0.09/0.56 inverse(sk_c2)=sk_c6|~sQ9_spl),
% 0.09/0.56 inference(component_clause,[status(thm)],[f107])).
% 0.09/0.56 fof(f110,plain,(
% 0.09/0.56 sQ9_spl|sQ1_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.09/0.56 fof(f111,plain,(
% 0.09/0.56 sQ9_spl|sQ2_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.09/0.56 fof(f112,plain,(
% 0.09/0.56 sQ9_spl|sQ3_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.09/0.56 fof(f113,plain,(
% 0.09/0.56 sQ9_spl|sQ4_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.09/0.56 fof(f114,plain,(
% 0.09/0.56 sQ9_spl|sQ5_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.09/0.56 fof(f115,definition,(
% 0.09/0.56 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f116,plain,(
% 0.09/0.56 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.09/0.56 inference(component_clause,[status(thm)],[f115])).
% 0.09/0.56 fof(f118,definition,(
% 0.09/0.56 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6))),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f119,plain,(
% 0.09/0.56 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.09/0.56 inference(component_clause,[status(thm)],[f118])).
% 0.09/0.56 fof(f121,definition,(
% 0.09/0.56 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f122,plain,(
% 0.09/0.56 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.09/0.56 inference(component_clause,[status(thm)],[f121])).
% 0.09/0.56 fof(f124,definition,(
% 0.09/0.56 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c6)=sk_c7|~inverse(X3)=sk_c6))),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f125,plain,(
% 0.09/0.56 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ13_spl)),
% 0.09/0.56 inference(component_clause,[status(thm)],[f124])).
% 0.09/0.56 fof(f127,plain,(
% 0.09/0.56 ~sQ0_spl|sQ10_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f59,f60,f115,f118,f63,f121,f124])).
% 0.09/0.56 fof(f129,plain,(
% 0.09/0.56 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ4_spl),
% 0.09/0.56 inference(resolution,[status(thm)],[f125,f76])).
% 0.09/0.56 fof(f132,plain,(
% 0.09/0.56 ~sk_c5=sk_c7|~inverse(sk_c2)=sk_c6|~sQ13_spl|~sQ8_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f100,f125])).
% 0.09/0.56 fof(f134,plain,(
% 0.09/0.56 ~sk_c6=sk_c6|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f80,f129])).
% 0.09/0.56 fof(f135,plain,(
% 0.09/0.56 $false|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f134])).
% 0.09/0.56 fof(f136,plain,(
% 0.09/0.56 ~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f135])).
% 0.09/0.56 fof(f137,plain,(
% 0.09/0.56 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.09/0.56 inference(resolution,[status(thm)],[f122,f72])).
% 0.09/0.56 fof(f141,plain,(
% 0.09/0.56 ~inverse(sk_c2)=sk_c7|~sk_c5=sk_c7|~sQ12_spl|~sQ8_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f100,f122])).
% 0.09/0.56 fof(f142,plain,(
% 0.09/0.56 ~sk_c7=sk_c7|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f68,f137])).
% 0.09/0.56 fof(f143,plain,(
% 0.09/0.56 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f142])).
% 0.09/0.56 fof(f144,plain,(
% 0.09/0.56 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f143])).
% 0.09/0.56 fof(f145,plain,(
% 0.09/0.56 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.09/0.56 inference(resolution,[status(thm)],[f119,f100])).
% 0.09/0.56 fof(f147,plain,(
% 0.09/0.56 ~sk_c7=sk_c5|~inverse(sk_c4)=sk_c6|~sQ11_spl|~sQ4_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f76,f119])).
% 0.09/0.56 fof(f149,plain,(
% 0.09/0.56 ~sk_c6=sk_c6|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f108,f145])).
% 0.09/0.56 fof(f150,plain,(
% 0.09/0.56 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f149])).
% 0.09/0.56 fof(f151,plain,(
% 0.09/0.56 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f150])).
% 0.09/0.56 fof(f158,plain,(
% 0.09/0.56 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ6_spl),
% 0.09/0.56 inference(resolution,[status(thm)],[f116,f84])).
% 0.09/0.56 fof(f161,plain,(
% 0.09/0.56 ~sk_c7=sk_c7|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f92,f158])).
% 0.09/0.56 fof(f162,plain,(
% 0.09/0.56 $false|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f161])).
% 0.09/0.56 fof(f163,plain,(
% 0.09/0.56 ~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f162])).
% 0.09/0.56 fof(f164,definition,(
% 0.09/0.56 sQ14_spl <=> (sk_c6=sk_c6)),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f166,plain,(
% 0.09/0.56 ~sk_c6=sk_c6|sQ14_spl),
% 0.09/0.56 inference(component_clause,[status(thm)],[f164])).
% 0.09/0.56 fof(f168,plain,(
% 0.09/0.56 $false|sQ14_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f166])).
% 0.09/0.56 fof(f169,plain,(
% 0.09/0.56 sQ14_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f168])).
% 0.09/0.56 fof(f183,plain,(
% 0.09/0.56 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.09/0.56 fof(f191,plain,(
% 0.09/0.56 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f30,f183])).
% 0.09/0.56 fof(f231,plain,(
% 0.09/0.56 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f72,f191])).
% 0.09/0.56 fof(f233,plain,(
% 0.09/0.56 sk_c6=multiply(inverse(sk_c4),sk_c7)|~sQ4_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f76,f191])).
% 0.09/0.56 fof(f236,plain,(
% 0.09/0.56 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f68,f231])).
% 0.09/0.56 fof(f238,plain,(
% 0.09/0.56 sk_c6=multiply(sk_c6,sk_c7)|~sQ5_spl|~sQ4_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f80,f233])).
% 0.09/0.56 fof(f239,plain,(
% 0.09/0.56 sk_c6=sk_c5|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f64,f238])).
% 0.09/0.56 fof(f245,plain,(
% 0.09/0.56 ~multiply(sk_c5,sk_c5)=sk_c7|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f239,f62])).
% 0.09/0.56 fof(f248,plain,(
% 0.09/0.56 multiply(sk_c5,sk_c7)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f239,f64])).
% 0.09/0.56 fof(f251,plain,(
% 0.09/0.56 multiply(sk_c3,sk_c5)=sk_c7|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f239,f72])).
% 0.09/0.56 fof(f258,plain,(
% 0.09/0.56 sk_c5=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f239,f236])).
% 0.09/0.56 fof(f273,plain,(
% 0.09/0.56 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f248,f191])).
% 0.09/0.56 fof(f275,plain,(
% 0.09/0.56 sk_c7=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f31,f273])).
% 0.09/0.56 fof(f281,plain,(
% 0.09/0.56 ![X0]: (multiply(sk_c7,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ1_spl)),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f275,f30])).
% 0.09/0.56 fof(f282,plain,(
% 0.09/0.56 sk_c5=sk_c7|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f281,f258])).
% 0.09/0.56 fof(f286,plain,(
% 0.09/0.56 ~multiply(sk_c5,sk_c7)=sk_c7|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f282,f245])).
% 0.09/0.56 fof(f289,plain,(
% 0.09/0.56 sk_c6=sk_c7|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f282,f239])).
% 0.09/0.56 fof(f291,plain,(
% 0.09/0.56 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f282,f286])).
% 0.09/0.56 fof(f292,plain,(
% 0.09/0.56 ~sk_c7=sk_c7|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f281,f291])).
% 0.09/0.56 fof(f293,plain,(
% 0.09/0.56 $false|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f292])).
% 0.09/0.56 fof(f294,plain,(
% 0.09/0.56 ~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f293])).
% 0.09/0.56 fof(f303,definition,(
% 0.09/0.56 sQ21_spl <=> (sk_c7=sk_c5)),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f305,plain,(
% 0.09/0.56 ~sk_c7=sk_c5|sQ21_spl),
% 0.09/0.56 inference(component_clause,[status(thm)],[f303])).
% 0.09/0.56 fof(f310,plain,(
% 0.09/0.56 ~sQ21_spl|~sQ5_spl|~sQ11_spl|~sQ4_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f147,f303,f79,f118,f75])).
% 0.09/0.56 fof(f311,plain,(
% 0.09/0.56 ~sk_c7=sk_c7|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl|sQ21_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f282,f305])).
% 0.09/0.56 fof(f312,plain,(
% 0.09/0.56 $false|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl|sQ21_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f311])).
% 0.09/0.56 fof(f313,plain,(
% 0.09/0.56 ~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl|sQ21_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f312])).
% 0.09/0.56 fof(f317,plain,(
% 0.09/0.56 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl)),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f289,f116])).
% 0.09/0.56 fof(f324,plain,(
% 0.09/0.56 multiply(sk_c3,sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f282,f251])).
% 0.09/0.56 fof(f326,plain,(
% 0.09/0.56 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f324,f32])).
% 0.09/0.56 fof(f328,plain,(
% 0.09/0.56 ![X0]: (X0=multiply(sk_c3,multiply(sk_c7,X0))|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f281,f326])).
% 0.09/0.56 fof(f329,plain,(
% 0.09/0.56 ![X0]: (X0=multiply(sk_c3,X0)|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f281,f328])).
% 0.09/0.56 fof(f341,plain,(
% 0.09/0.56 sk_c6=multiply(inverse(sk_c2),sk_c5)|~sQ8_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f100,f191])).
% 0.09/0.56 fof(f343,plain,(
% 0.09/0.56 sk_c6=multiply(sk_c6,sk_c5)|~sQ9_spl|~sQ8_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f108,f341])).
% 0.09/0.56 fof(f344,plain,(
% 0.09/0.56 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ6_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f84,f191])).
% 0.09/0.56 fof(f346,plain,(
% 0.09/0.56 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f92,f344])).
% 0.09/0.56 fof(f349,plain,(
% 0.09/0.56 multiply(sk_c6,sk_c2)=identity|~sQ9_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.09/0.56 fof(f361,plain,(
% 0.09/0.56 multiply(sk_c7,sk_c5)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f368,f61])).
% 0.09/0.56 fof(f365,plain,(
% 0.09/0.56 inverse(sk_c2)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f368,f108])).
% 0.09/0.56 fof(f368,plain,(
% 0.09/0.56 sk_c6=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f61,f343])).
% 0.09/0.56 fof(f377,plain,(
% 0.09/0.56 sk_c7=multiply(sk_c7,sk_c7)|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f368,f346])).
% 0.09/0.56 fof(f378,plain,(
% 0.09/0.56 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f377,f191])).
% 0.09/0.56 fof(f380,plain,(
% 0.09/0.56 sk_c7=identity|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f31,f378])).
% 0.09/0.56 fof(f383,plain,(
% 0.09/0.56 ![X0]: (multiply(sk_c7,X0)=X0|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f380,f30])).
% 0.09/0.56 fof(f388,plain,(
% 0.09/0.56 multiply(sk_c7,sk_c2)=identity|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f368,f349])).
% 0.09/0.56 fof(f389,plain,(
% 0.09/0.56 sk_c7=sk_c2|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f390,f380])).
% 0.09/0.56 fof(f390,plain,(
% 0.09/0.56 sk_c2=identity|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f383,f388])).
% 0.09/0.56 fof(f394,plain,(
% 0.09/0.56 inverse(sk_c2)=sk_c2|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f389,f365])).
% 0.09/0.56 fof(f397,plain,(
% 0.09/0.56 sk_c6=sk_c2|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.09/0.56 inference(backward_demodulation,[status(thm)],[f389,f368])).
% 0.09/0.56 fof(f424,definition,(
% 0.09/0.56 sQ23_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f426,plain,(
% 0.09/0.56 ~inverse(sk_c2)=sk_c7|sQ23_spl),
% 0.09/0.56 inference(component_clause,[status(thm)],[f424])).
% 0.09/0.56 fof(f427,plain,(
% 0.09/0.56 ~sQ23_spl|~sQ21_spl|~sQ12_spl|~sQ8_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f141,f424,f303,f121,f99])).
% 0.09/0.56 fof(f432,plain,(
% 0.09/0.56 ~inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ23_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f389,f426])).
% 0.09/0.56 fof(f433,plain,(
% 0.09/0.56 ~sk_c2=sk_c5|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ21_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f389,f305])).
% 0.09/0.56 fof(f448,plain,(
% 0.09/0.56 ~sk_c2=sk_c2|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ23_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f394,f432])).
% 0.09/0.56 fof(f449,plain,(
% 0.09/0.56 $false|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ23_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f448])).
% 0.09/0.56 fof(f450,plain,(
% 0.09/0.56 ~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ23_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f449])).
% 0.09/0.56 fof(f454,plain,(
% 0.09/0.56 ~sQ21_spl|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f132,f303,f107,f124,f99])).
% 0.09/0.56 fof(f471,definition,(
% 0.09/0.56 sQ24_spl <=> (sk_c7=sk_c7)),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.56 fof(f473,plain,(
% 0.09/0.56 ~sk_c7=sk_c7|sQ24_spl),
% 0.09/0.56 inference(component_clause,[status(thm)],[f471])).
% 0.09/0.56 fof(f478,plain,(
% 0.09/0.56 $false|sQ24_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f473])).
% 0.09/0.56 fof(f479,plain,(
% 0.09/0.56 sQ24_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f478])).
% 0.09/0.56 fof(f480,plain,(
% 0.09/0.56 ~inverse(sk_c3)=sk_c7|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl),
% 0.09/0.56 inference(resolution,[status(thm)],[f329,f317])).
% 0.09/0.56 fof(f481,plain,(
% 0.09/0.56 ~sk_c7=sk_c7|~inverse(sk_c3)=sk_c7|~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f329,f317])).
% 0.09/0.56 fof(f484,plain,(
% 0.09/0.56 ~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f480,f67,f71,f63,f79,f75,f115])).
% 0.09/0.56 fof(f485,plain,(
% 0.09/0.56 ~sQ24_spl|~sQ2_spl|~sQ10_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.56 inference(split_clause,[status(thm)],[f481,f471,f67,f115,f63,f79,f75,f71])).
% 0.09/0.56 fof(f495,plain,(
% 0.09/0.56 ![X0]: (multiply(sk_c2,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl)),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f390,f30])).
% 0.09/0.56 fof(f520,plain,(
% 0.09/0.56 ~multiply(sk_c2,sk_c7)=sk_c5|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f397,f65])).
% 0.09/0.56 fof(f521,plain,(
% 0.09/0.56 ~sk_c7=sk_c5|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f495,f520])).
% 0.09/0.56 fof(f522,plain,(
% 0.09/0.56 ~sk_c2=sk_c5|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f389,f521])).
% 0.09/0.56 fof(f562,plain,(
% 0.09/0.56 multiply(sk_c2,sk_c5)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f389,f361])).
% 0.09/0.56 fof(f563,plain,(
% 0.09/0.56 sk_c5=sk_c7|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f495,f562])).
% 0.09/0.56 fof(f564,plain,(
% 0.09/0.56 sk_c5=sk_c2|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f389,f563])).
% 0.09/0.56 fof(f565,plain,(
% 0.09/0.56 $false|sQ21_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.09/0.56 inference(forward_subsumption_resolution,[status(thm)],[f564,f433])).
% 0.09/0.56 fof(f566,plain,(
% 0.09/0.56 sQ21_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f565])).
% 0.09/0.56 fof(f568,plain,(
% 0.09/0.56 ~sk_c2=sk_c2|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.09/0.56 inference(forward_demodulation,[status(thm)],[f564,f522])).
% 0.09/0.56 fof(f569,plain,(
% 0.09/0.56 $false|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.09/0.56 inference(trivial_equality_resolution,[status(thm)],[f568])).
% 0.09/0.56 fof(f570,plain,(
% 0.09/0.56 ~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.09/0.56 inference(contradiction_clause,[status(thm)],[f569])).
% 0.09/0.56 fof(f571,plain,(
% 0.09/0.56 $false),
% 0.09/0.56 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f127,f136,f144,f151,f163,f169,f294,f310,f313,f427,f450,f454,f479,f484,f485,f566,f570])).
% 0.09/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.58 % Elapsed time: 0.043188 seconds
% 0.14/0.58 % CPU time: 0.097431 seconds
% 0.14/0.58 % Total memory used: 19.719 MB
% 0.14/0.58 % Net memory used: 19.674 MB
%------------------------------------------------------------------------------