%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP288-1 : 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 : n009.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 12:36:23 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP288-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:08:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,axiom,(
% 0.11/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f3,axiom,(
% 0.11/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f8,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f9,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f10,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f12,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f13,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f14,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f15,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f16,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f17,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f18,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f20,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f21,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f22,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f23,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f24,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f25,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f26,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f27,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f28,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f29,negated_conjecture,(
% 0.11/0.40 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| 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 ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f30,plain,(
% 0.11/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.40 fof(f31,plain,(
% 0.11/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f32,plain,(
% 0.11/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f33,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f36,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f37,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.40 fof(f38,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.40 fof(f39,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.40 fof(f40,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.40 fof(f41,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.40 fof(f42,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.40 fof(f44,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.40 fof(f45,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.40 fof(f46,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.40 fof(f47,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.40 fof(f49,plain,(
% 0.11/0.40 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.40 fof(f50,plain,(
% 0.11/0.40 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.40 fof(f51,plain,(
% 0.11/0.40 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.40 fof(f52,plain,(
% 0.11/0.40 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.40 fof(f53,plain,(
% 0.11/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.40 fof(f54,plain,(
% 0.11/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.40 fof(f55,plain,(
% 0.11/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.40 fof(f56,plain,(
% 0.11/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.40 fof(f57,plain,(
% 0.11/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.40 fof(f58,plain,(
% 0.11/0.40 ![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~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)),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f29])).
% 0.11/0.40 fof(f59,plain,(
% 0.11/0.40 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~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)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.11/0.40 fof(f60,definition,(
% 0.11/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f61,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.40 fof(f62,plain,(
% 0.11/0.40 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.40 fof(f63,definition,(
% 0.11/0.40 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f64,plain,(
% 0.11/0.40 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.11/0.40 fof(f65,plain,(
% 0.11/0.40 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.11/0.40 fof(f66,plain,(
% 0.11/0.40 sQ0_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.11/0.40 fof(f67,definition,(
% 0.11/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f68,plain,(
% 0.11/0.40 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.11/0.40 fof(f71,definition,(
% 0.11/0.40 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f72,plain,(
% 0.11/0.40 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.11/0.40 fof(f75,definition,(
% 0.11/0.40 sQ4_spl <=> (multiply(sk_c4,sk_c6)=sk_c7)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f76,plain,(
% 0.11/0.40 multiply(sk_c4,sk_c6)=sk_c7|~sQ4_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f75])).
% 0.11/0.40 fof(f78,plain,(
% 0.11/0.40 sQ0_spl|sQ4_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.11/0.40 fof(f79,definition,(
% 0.11/0.40 sQ5_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f80,plain,(
% 0.11/0.40 inverse(sk_c4)=sk_c6|~sQ5_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f79])).
% 0.11/0.40 fof(f82,plain,(
% 0.11/0.40 sQ0_spl|sQ5_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.11/0.40 fof(f83,definition,(
% 0.11/0.40 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f84,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.40 fof(f86,plain,(
% 0.11/0.40 sQ6_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.11/0.40 fof(f87,plain,(
% 0.11/0.40 sQ6_spl|sQ2_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.11/0.40 fof(f88,plain,(
% 0.11/0.40 sQ6_spl|sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.11/0.40 fof(f89,plain,(
% 0.11/0.40 sQ6_spl|sQ4_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.11/0.40 fof(f90,plain,(
% 0.11/0.40 sQ6_spl|sQ5_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.11/0.40 fof(f91,definition,(
% 0.11/0.40 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f92,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f91])).
% 0.11/0.40 fof(f94,plain,(
% 0.11/0.40 sQ7_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.11/0.40 fof(f95,plain,(
% 0.11/0.40 sQ7_spl|sQ2_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.11/0.40 fof(f96,plain,(
% 0.11/0.40 sQ7_spl|sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.11/0.40 fof(f97,plain,(
% 0.11/0.40 sQ7_spl|sQ4_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.11/0.40 fof(f98,plain,(
% 0.11/0.40 sQ7_spl|sQ5_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.11/0.40 fof(f99,definition,(
% 0.11/0.40 sQ8_spl <=> (multiply(sk_c2,sk_c6)=sk_c5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f100,plain,(
% 0.11/0.40 multiply(sk_c2,sk_c6)=sk_c5|~sQ8_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.11/0.40 fof(f103,plain,(
% 0.11/0.40 sQ8_spl|sQ2_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.11/0.40 fof(f104,plain,(
% 0.11/0.40 sQ8_spl|sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.11/0.40 fof(f105,plain,(
% 0.11/0.40 sQ8_spl|sQ4_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.11/0.40 fof(f106,plain,(
% 0.11/0.40 sQ8_spl|sQ5_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.11/0.40 fof(f107,definition,(
% 0.11/0.40 sQ9_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f108,plain,(
% 0.11/0.40 inverse(sk_c2)=sk_c6|~sQ9_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.11/0.40 fof(f110,plain,(
% 0.11/0.40 sQ9_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.11/0.40 fof(f111,plain,(
% 0.11/0.40 sQ9_spl|sQ2_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.11/0.40 fof(f112,plain,(
% 0.11/0.40 sQ9_spl|sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.11/0.40 fof(f113,plain,(
% 0.11/0.40 sQ9_spl|sQ4_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.11/0.40 fof(f114,plain,(
% 0.11/0.40 sQ9_spl|sQ5_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.11/0.40 fof(f115,definition,(
% 0.11/0.40 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f116,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.11/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.11/0.40 fof(f118,definition,(
% 0.11/0.40 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f119,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.11/0.40 inference(component_clause,[status(thm)],[f118])).
% 0.11/0.40 fof(f121,definition,(
% 0.11/0.40 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f122,plain,(
% 0.11/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.11/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.11/0.40 fof(f124,definition,(
% 0.11/0.40 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c6)=sk_c7|~inverse(X3)=sk_c6))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f125,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ13_spl)),
% 0.11/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.11/0.40 fof(f127,plain,(
% 0.11/0.40 ~sQ0_spl|sQ10_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f59,f60,f115,f118,f63,f121,f124])).
% 0.11/0.40 fof(f129,plain,(
% 0.11/0.40 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ4_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f125,f76])).
% 0.11/0.40 fof(f133,plain,(
% 0.11/0.40 ~sk_c5=sk_c7|~inverse(sk_c2)=sk_c6|~sQ13_spl|~sQ8_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f100,f125])).
% 0.11/0.40 fof(f135,plain,(
% 0.11/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f80,f129])).
% 0.11/0.40 fof(f136,plain,(
% 0.11/0.40 $false|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f135])).
% 0.11/0.40 fof(f137,plain,(
% 0.11/0.40 ~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f136])).
% 0.11/0.40 fof(f138,plain,(
% 0.11/0.40 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f122,f72])).
% 0.11/0.40 fof(f140,plain,(
% 0.11/0.40 ~inverse(sk_c7)=sk_c7|~sk_c5=sk_c7|~sQ12_spl|~sQ0_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f61,f122])).
% 0.11/0.40 fof(f143,plain,(
% 0.11/0.40 ~inverse(sk_c2)=sk_c7|~sk_c5=sk_c7|~sQ12_spl|~sQ8_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f100,f122])).
% 0.11/0.40 fof(f144,plain,(
% 0.11/0.40 ~sk_c7=sk_c7|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f68,f138])).
% 0.11/0.40 fof(f145,plain,(
% 0.11/0.40 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f144])).
% 0.11/0.40 fof(f146,plain,(
% 0.11/0.40 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f145])).
% 0.11/0.40 fof(f148,plain,(
% 0.11/0.40 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f119,f100])).
% 0.11/0.40 fof(f151,plain,(
% 0.11/0.40 ~sk_c7=sk_c5|~inverse(sk_c4)=sk_c6|~sQ11_spl|~sQ4_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f76,f119])).
% 0.11/0.40 fof(f153,plain,(
% 0.11/0.40 ~sk_c6=sk_c6|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f108,f148])).
% 0.11/0.40 fof(f154,plain,(
% 0.11/0.40 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f153])).
% 0.11/0.40 fof(f155,plain,(
% 0.11/0.40 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f154])).
% 0.11/0.40 fof(f162,plain,(
% 0.11/0.40 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ6_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f116,f84])).
% 0.11/0.40 fof(f165,plain,(
% 0.11/0.40 ~sk_c7=sk_c7|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f92,f162])).
% 0.11/0.40 fof(f166,plain,(
% 0.11/0.40 $false|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f165])).
% 0.11/0.40 fof(f167,plain,(
% 0.11/0.40 ~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f166])).
% 0.11/0.40 fof(f168,definition,(
% 0.11/0.40 sQ14_spl <=> (sk_c6=sk_c6)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f170,plain,(
% 0.11/0.40 ~sk_c6=sk_c6|sQ14_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f168])).
% 0.11/0.40 fof(f172,plain,(
% 0.11/0.40 $false|sQ14_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f170])).
% 0.11/0.40 fof(f173,plain,(
% 0.11/0.40 sQ14_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f172])).
% 0.11/0.40 fof(f187,plain,(
% 0.11/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.11/0.40 fof(f195,plain,(
% 0.11/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f30,f187])).
% 0.11/0.40 fof(f232,plain,(
% 0.11/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f30,f195])).
% 0.11/0.40 fof(f235,plain,(
% 0.11/0.40 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f72,f195])).
% 0.11/0.40 fof(f237,plain,(
% 0.11/0.40 sk_c6=multiply(inverse(sk_c4),sk_c7)|~sQ4_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f76,f195])).
% 0.11/0.40 fof(f240,plain,(
% 0.11/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f68,f235])).
% 0.11/0.40 fof(f242,plain,(
% 0.11/0.40 sk_c6=multiply(sk_c6,sk_c7)|~sQ5_spl|~sQ4_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f80,f237])).
% 0.11/0.40 fof(f243,plain,(
% 0.11/0.40 sk_c6=sk_c5|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f64,f242])).
% 0.11/0.40 fof(f249,plain,(
% 0.11/0.40 ~multiply(sk_c7,sk_c5)=sk_c5|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f243,f62])).
% 0.11/0.40 fof(f252,plain,(
% 0.11/0.40 multiply(sk_c5,sk_c7)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f243,f64])).
% 0.11/0.40 fof(f254,plain,(
% 0.11/0.40 inverse(sk_c4)=sk_c5|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f243,f80])).
% 0.11/0.40 fof(f259,plain,(
% 0.11/0.40 multiply(sk_c5,sk_c4)=identity|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f254,f31])).
% 0.11/0.40 fof(f262,plain,(
% 0.11/0.40 sk_c5=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f243,f240])).
% 0.11/0.40 fof(f277,plain,(
% 0.11/0.40 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f252,f195])).
% 0.11/0.40 fof(f279,plain,(
% 0.11/0.40 sk_c7=identity|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f31,f277])).
% 0.11/0.40 fof(f285,plain,(
% 0.11/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ1_spl)),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f279,f30])).
% 0.11/0.40 fof(f286,plain,(
% 0.11/0.40 ~sk_c5=sk_c5|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f285,f249])).
% 0.11/0.40 fof(f287,plain,(
% 0.11/0.40 sk_c5=sk_c7|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f285,f262])).
% 0.11/0.40 fof(f290,plain,(
% 0.11/0.40 $false|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f286])).
% 0.11/0.40 fof(f291,plain,(
% 0.11/0.40 ~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f290])).
% 0.11/0.40 fof(f297,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f243,f116])).
% 0.11/0.40 fof(f299,plain,(
% 0.11/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl)),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f287,f285])).
% 0.11/0.40 fof(f300,plain,(
% 0.11/0.40 sk_c5=identity|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f287,f279])).
% 0.11/0.40 fof(f302,plain,(
% 0.11/0.40 inverse(sk_c3)=sk_c5|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f287,f68])).
% 0.11/0.40 fof(f309,definition,(
% 0.11/0.40 sQ21_spl <=> (sk_c7=sk_c5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f311,plain,(
% 0.11/0.40 ~sk_c7=sk_c5|sQ21_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f309])).
% 0.11/0.40 fof(f316,plain,(
% 0.11/0.40 ~sQ21_spl|~sQ5_spl|~sQ11_spl|~sQ4_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f151,f309,f79,f118,f75])).
% 0.11/0.40 fof(f317,definition,(
% 0.11/0.40 sQ23_spl <=> (sk_c5=sk_c5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f319,plain,(
% 0.11/0.40 ~sk_c5=sk_c5|sQ23_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f317])).
% 0.11/0.40 fof(f326,plain,(
% 0.11/0.40 ~sk_c5=sk_c5|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl|sQ21_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f287,f311])).
% 0.11/0.40 fof(f327,plain,(
% 0.11/0.40 $false|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl|sQ21_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f326])).
% 0.11/0.40 fof(f328,plain,(
% 0.11/0.40 ~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl|sQ21_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f327])).
% 0.11/0.40 fof(f332,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c7|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f287,f297])).
% 0.11/0.40 fof(f333,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f287,f332])).
% 0.11/0.40 fof(f345,plain,(
% 0.11/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c3,X0))|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl)),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f302,f195])).
% 0.11/0.40 fof(f346,plain,(
% 0.11/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f299,f345])).
% 0.11/0.40 fof(f362,plain,(
% 0.11/0.40 sk_c5=sk_c4|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f363,f300])).
% 0.11/0.40 fof(f363,plain,(
% 0.11/0.40 sk_c4=identity|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f299,f259])).
% 0.11/0.40 fof(f366,plain,(
% 0.11/0.40 inverse(sk_c3)=sk_c4|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f362,f302])).
% 0.11/0.40 fof(f384,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c4)=sk_c5|~inverse(X0)=sk_c5|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f362,f333])).
% 0.11/0.40 fof(f385,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c5|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f362,f384])).
% 0.11/0.40 fof(f386,plain,(
% 0.11/0.40 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f362,f385])).
% 0.11/0.40 fof(f389,plain,(
% 0.11/0.40 ~inverse(sk_c3)=sk_c4|~sQ10_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f386,f346])).
% 0.11/0.40 fof(f394,plain,(
% 0.11/0.40 ~sk_c4=sk_c4|~sQ10_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f366,f389])).
% 0.11/0.40 fof(f395,plain,(
% 0.11/0.40 $false|~sQ10_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f394])).
% 0.11/0.40 fof(f396,plain,(
% 0.11/0.40 ~sQ10_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f395])).
% 0.11/0.40 fof(f397,plain,(
% 0.11/0.40 $false|sQ23_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f319])).
% 0.11/0.40 fof(f398,plain,(
% 0.11/0.40 sQ23_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f397])).
% 0.11/0.40 fof(f405,plain,(
% 0.11/0.40 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ6_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f84,f195])).
% 0.11/0.40 fof(f407,plain,(
% 0.11/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f92,f405])).
% 0.11/0.40 fof(f410,plain,(
% 0.11/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f195,f232])).
% 0.11/0.40 fof(f420,plain,(
% 0.11/0.40 multiply(sk_c6,sk_c2)=identity|~sQ9_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.11/0.40 fof(f430,plain,(
% 0.11/0.40 sk_c7=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f61,f407])).
% 0.11/0.40 fof(f431,plain,(
% 0.11/0.40 $false|sQ21_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f430,f311])).
% 0.11/0.40 fof(f432,plain,(
% 0.11/0.40 sQ21_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f431])).
% 0.11/0.40 fof(f433,definition,(
% 0.11/0.40 sQ25_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f436,plain,(
% 0.11/0.40 ~sQ25_spl|~sQ21_spl|~sQ12_spl|~sQ0_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f140,f433,f309,f121,f60])).
% 0.11/0.40 fof(f437,definition,(
% 0.11/0.40 sQ26_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f439,plain,(
% 0.11/0.40 ~inverse(sk_c2)=sk_c7|sQ26_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f437])).
% 0.11/0.40 fof(f440,plain,(
% 0.11/0.40 ~sQ26_spl|~sQ21_spl|~sQ12_spl|~sQ8_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f143,f437,f309,f121,f99])).
% 0.11/0.40 fof(f441,plain,(
% 0.11/0.40 ~sk_c6=sk_c7|~sQ9_spl|sQ26_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f108,f439])).
% 0.11/0.40 fof(f443,plain,(
% 0.11/0.40 multiply(sk_c5,sk_c6)=sk_c5|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f430,f61])).
% 0.11/0.40 fof(f451,plain,(
% 0.11/0.40 ~sk_c6=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ26_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f430,f441])).
% 0.11/0.40 fof(f460,plain,(
% 0.11/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f430,f122])).
% 0.11/0.40 fof(f461,plain,(
% 0.11/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f430,f460])).
% 0.11/0.40 fof(f490,plain,(
% 0.11/0.40 ~inverse(sk_c5)=sk_c5|~sk_c5=sk_c5|~sQ12_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f443,f461])).
% 0.11/0.40 fof(f491,plain,(
% 0.11/0.40 sk_c6=multiply(inverse(sk_c5),sk_c5)|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f443,f195])).
% 0.11/0.40 fof(f493,definition,(
% 0.11/0.40 sQ32_spl <=> (inverse(sk_c5)=sk_c5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f496,plain,(
% 0.11/0.40 ~sQ32_spl|~sQ23_spl|~sQ12_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f490,f493,f317,f121,f91,f83,f60])).
% 0.11/0.40 fof(f497,plain,(
% 0.11/0.40 sk_c6=identity|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f31,f491])).
% 0.11/0.40 fof(f498,plain,(
% 0.11/0.40 ~multiply(sk_c6,sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f430,f65])).
% 0.11/0.40 fof(f501,plain,(
% 0.11/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ0_spl)),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f497,f410])).
% 0.11/0.40 fof(f511,plain,(
% 0.11/0.40 sk_c6=sk_c2|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f512,f497])).
% 0.11/0.40 fof(f512,plain,(
% 0.11/0.40 sk_c2=identity|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f501,f420])).
% 0.11/0.40 fof(f513,plain,(
% 0.11/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl)),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f511,f501])).
% 0.11/0.40 fof(f520,plain,(
% 0.11/0.40 ~sk_c2=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|sQ26_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f511,f451])).
% 0.11/0.40 fof(f522,plain,(
% 0.11/0.40 multiply(sk_c2,sk_c2)=sk_c5|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f511,f100])).
% 0.11/0.40 fof(f525,plain,(
% 0.11/0.40 ~multiply(sk_c2,sk_c5)=sk_c5|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f511,f498])).
% 0.11/0.40 fof(f526,plain,(
% 0.11/0.40 ~sk_c5=sk_c5|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f513,f525])).
% 0.11/0.40 fof(f527,plain,(
% 0.11/0.40 $false|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f526])).
% 0.11/0.40 fof(f528,plain,(
% 0.11/0.40 ~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f527])).
% 0.11/0.40 fof(f567,plain,(
% 0.11/0.40 sk_c2=sk_c5|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f513,f522])).
% 0.11/0.40 fof(f568,plain,(
% 0.11/0.40 $false|sQ26_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f567,f520])).
% 0.11/0.40 fof(f569,plain,(
% 0.11/0.40 sQ26_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f568])).
% 0.11/0.40 fof(f574,plain,(
% 0.11/0.40 ~sQ21_spl|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f133,f309,f107,f124,f99])).
% 0.11/0.40 fof(f576,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(sat_refutation,[status(thm)],[f66,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f103,f104,f105,f106,f110,f111,f112,f113,f114,f127,f137,f146,f155,f167,f173,f291,f316,f328,f396,f398,f432,f436,f440,f496,f528,f569,f574])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.046516 seconds
% 0.11/0.42 % CPU time: 0.143595 seconds
% 0.11/0.42 % Total memory used: 77.356 MB
% 0.11/0.42 % Net memory used: 77.221 MB
%------------------------------------------------------------------------------