%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP309-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:36:25 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP309-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:12:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,negated_conjecture,(
% 0.14/0.39 multiply(sk_c5,sk_c6) = sk_c7 ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f23,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f25,negated_conjecture,(
% 0.14/0.40 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| inverse(sk_c7) != sk_c5| multiply(sk_c5,sk_c6) != sk_c7| multiply(sk_c7,X3) != sk_c6| multiply(X4,sk_c7) != X3| inverse(X4) != sk_c7| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6 ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f27,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f29,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f30,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f31,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f33,plain,(
% 0.14/0.40 inverse(sk_c7)=sk_c5|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f34,plain,(
% 0.14/0.40 inverse(sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.40 fof(f35,plain,(
% 0.14/0.40 inverse(sk_c7)=sk_c5|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f36,plain,(
% 0.14/0.40 inverse(sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c3)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.40 fof(f44,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f45,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c4)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.40 fof(f46,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.40 fof(f47,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f48,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.40 fof(f49,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f50,plain,(
% 0.14/0.40 ![X2]: (((![X1]: (((![X4]: ((![X3]: ((((~multiply(sk_c7,sk_c6)=sk_c5|~inverse(sk_c7)=sk_c5)|~multiply(sk_c5,sk_c6)=sk_c7)|~multiply(sk_c7,X3)=sk_c6)|~multiply(X4,sk_c7)=X3))|~inverse(X4)=sk_c7))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~multiply(X2,sk_c6)=sk_c5)|~inverse(X2)=sk_c6)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f25])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~inverse(sk_c7)=sk_c5|~multiply(sk_c5,sk_c6)=sk_c7|~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7|~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/0.40 fof(f52,definition,(
% 0.14/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.40 fof(f54,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.40 fof(f55,definition,(
% 0.14/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c7)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c7)=sk_c6|~sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f29,f52,f55])).
% 0.14/0.40 fof(f59,definition,(
% 0.14/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.14/0.40 fof(f62,plain,(
% 0.14/0.40 sQ0_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f30,f52,f59])).
% 0.14/0.40 fof(f63,definition,(
% 0.14/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c6)=sk_c5)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 multiply(sk_c4,sk_c6)=sk_c5|~sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 sQ0_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f31,f52,f63])).
% 0.14/0.40 fof(f67,definition,(
% 0.14/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.14/0.40 fof(f70,plain,(
% 0.14/0.40 sQ0_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f32,f52,f67])).
% 0.14/0.40 fof(f71,definition,(
% 0.14/0.40 sQ5_spl <=> (inverse(sk_c7)=sk_c5)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f72,plain,(
% 0.14/0.40 inverse(sk_c7)=sk_c5|~sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.14/0.40 fof(f73,plain,(
% 0.14/0.40 ~inverse(sk_c7)=sk_c5|sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 sQ5_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f33,f71,f55])).
% 0.14/0.40 fof(f75,plain,(
% 0.14/0.40 sQ5_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f34,f71,f59])).
% 0.14/0.40 fof(f76,plain,(
% 0.14/0.40 sQ5_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f35,f71,f63])).
% 0.14/0.40 fof(f77,plain,(
% 0.14/0.40 sQ5_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f36,f71,f67])).
% 0.14/0.40 fof(f78,definition,(
% 0.14/0.40 sQ6_spl <=> (multiply(sk_c7,sk_c2)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f79,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c2)=sk_c6|~sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f78])).
% 0.14/0.40 fof(f81,plain,(
% 0.14/0.40 sQ6_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f38,f78,f55])).
% 0.14/0.40 fof(f82,plain,(
% 0.14/0.40 sQ6_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f39,f78,f59])).
% 0.14/0.40 fof(f83,plain,(
% 0.14/0.40 sQ6_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f40,f78,f63])).
% 0.14/0.40 fof(f84,plain,(
% 0.14/0.40 sQ6_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f41,f78,f67])).
% 0.14/0.40 fof(f85,definition,(
% 0.14/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c2)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f86,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c2|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.40 fof(f88,plain,(
% 0.14/0.40 sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f42,f85,f55])).
% 0.14/0.40 fof(f89,plain,(
% 0.14/0.40 sQ7_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f43,f85,f59])).
% 0.14/0.40 fof(f90,plain,(
% 0.14/0.40 sQ7_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f44,f85,f63])).
% 0.14/0.40 fof(f91,plain,(
% 0.14/0.40 sQ7_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f45,f85,f67])).
% 0.14/0.40 fof(f92,definition,(
% 0.14/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f93,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f92])).
% 0.14/0.40 fof(f95,plain,(
% 0.14/0.40 sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f46,f92,f55])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 sQ8_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f47,f92,f59])).
% 0.14/0.40 fof(f97,plain,(
% 0.14/0.40 sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f48,f92,f63])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 sQ8_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f49,f92,f67])).
% 0.14/0.40 fof(f99,definition,(
% 0.14/0.40 sQ9_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f101,plain,(
% 0.14/0.40 ~multiply(sk_c5,sk_c6)=sk_c7|sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.14/0.40 fof(f102,definition,(
% 0.14/0.40 ![X0,X1]: (sQ10_spl <=> (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f103,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ10_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f102])).
% 0.14/0.40 fof(f105,definition,(
% 0.14/0.40 ![X2]: (sQ11_spl <=> (~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f106,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.40 fof(f108,definition,(
% 0.14/0.40 ![X3]: (sQ12_spl <=> (~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f109,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f108])).
% 0.14/0.40 fof(f111,plain,(
% 0.14/0.40 ~sQ0_spl|~sQ5_spl|~sQ9_spl|sQ10_spl|sQ11_spl|sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f51,f52,f71,f99,f102,f105,f108])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 ~inverse(sk_c4)=sk_c6|~sQ12_spl|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f109,f64])).
% 0.14/0.40 fof(f115,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f68,f112])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 $false|~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f115])).
% 0.14/0.40 fof(f117,plain,(
% 0.14/0.40 ~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f116])).
% 0.14/0.40 fof(f118,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ1_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f106,f56])).
% 0.14/0.40 fof(f119,plain,(
% 0.14/0.40 ~sk_c2=sk_c6|~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f86,f106])).
% 0.14/0.40 fof(f121,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f60,f118])).
% 0.14/0.40 fof(f122,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f121])).
% 0.14/0.40 fof(f123,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f122])).
% 0.14/0.40 fof(f124,plain,(
% 0.14/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f103])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|sQ9_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f37,f101])).
% 0.14/0.40 fof(f126,plain,(
% 0.14/0.40 $false|sQ9_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f125])).
% 0.14/0.40 fof(f127,plain,(
% 0.14/0.40 sQ9_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f126])).
% 0.14/0.40 fof(f141,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c2)=sk_c6|~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f86,f124])).
% 0.14/0.40 fof(f142,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c6)=sk_c6|~inverse(sk_c3)=sk_c7|~sQ10_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f56,f124])).
% 0.14/0.40 fof(f150,plain,(
% 0.14/0.40 ~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f141,f78,f92,f102,f85])).
% 0.14/0.40 fof(f151,definition,(
% 0.14/0.40 sQ15_spl <=> (multiply(sk_c7,sk_c6)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f153,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c6)=sk_c6|sQ15_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f151])).
% 0.14/0.40 fof(f154,plain,(
% 0.14/0.40 ~sQ15_spl|~sQ2_spl|~sQ10_spl|~sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f142,f151,f59,f102,f55])).
% 0.14/0.40 fof(f155,definition,(
% 0.14/0.40 sQ16_spl <=> (sk_c2=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f157,plain,(
% 0.14/0.40 ~sk_c2=sk_c6|sQ16_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f155])).
% 0.14/0.40 fof(f158,plain,(
% 0.14/0.40 ~sQ16_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f119,f155,f92,f105,f85])).
% 0.14/0.40 fof(f164,definition,(
% 0.14/0.40 sQ17_spl <=> (sk_c7=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f165,plain,(
% 0.14/0.40 sk_c7=sk_c6|~sQ17_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f164])).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 ~sk_c7=sk_c6|sQ17_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f164])).
% 0.14/0.40 fof(f175,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.14/0.40 fof(f183,plain,(
% 0.14/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f26,f175])).
% 0.14/0.40 fof(f207,plain,(
% 0.14/0.40 sk_c2=multiply(inverse(sk_c7),sk_c6)|~sQ6_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f79,f183])).
% 0.14/0.40 fof(f208,plain,(
% 0.14/0.40 sk_c7=multiply(inverse(sk_c1),sk_c2)|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f86,f183])).
% 0.14/0.40 fof(f215,plain,(
% 0.14/0.40 sk_c2=multiply(sk_c5,sk_c6)|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f72,f207])).
% 0.14/0.40 fof(f216,plain,(
% 0.14/0.40 sk_c7=multiply(sk_c7,sk_c2)|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f93,f208])).
% 0.14/0.40 fof(f217,plain,(
% 0.14/0.40 sk_c7=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f79,f216])).
% 0.14/0.40 fof(f218,plain,(
% 0.14/0.40 $false|sQ17_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f217,f166])).
% 0.14/0.40 fof(f219,plain,(
% 0.14/0.40 sQ17_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f218])).
% 0.14/0.40 fof(f250,plain,(
% 0.14/0.40 ~sk_c6=sk_c5|~inverse(identity)=sk_c6|~sQ12_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f26,f109])).
% 0.14/0.40 fof(f252,definition,(
% 0.14/0.40 sQ24_spl <=> (sk_c6=sk_c5)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f254,plain,(
% 0.14/0.40 ~sk_c6=sk_c5|sQ24_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f252])).
% 0.14/0.40 fof(f266,definition,(
% 0.14/0.40 sQ28_spl <=> (inverse(identity)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f268,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c6|sQ28_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f266])).
% 0.14/0.40 fof(f269,plain,(
% 0.14/0.40 ~sQ24_spl|~sQ28_spl|~sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f250,f252,f266,f108])).
% 0.14/0.40 fof(f270,plain,(
% 0.14/0.40 sk_c6=multiply(inverse(sk_c4),sk_c5)|~sQ3_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f64,f183])).
% 0.14/0.40 fof(f272,plain,(
% 0.14/0.40 sk_c6=multiply(sk_c6,sk_c5)|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f68,f270])).
% 0.14/0.40 fof(f274,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f56,f28])).
% 0.14/0.40 fof(f276,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c3)=identity|~sQ2_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f60,f27])).
% 0.14/0.40 fof(f294,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c2)=sk_c6|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f304,f79])).
% 0.14/0.40 fof(f297,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c5|~sQ6_spl|~sQ5_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f304,f72])).
% 0.14/0.40 fof(f304,plain,(
% 0.14/0.40 sk_c2=sk_c7|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f215,f37])).
% 0.14/0.40 fof(f309,plain,(
% 0.14/0.40 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f272,f183])).
% 0.14/0.40 fof(f311,plain,(
% 0.14/0.40 sk_c5=identity|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f27,f309])).
% 0.14/0.40 fof(f321,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c6)=sk_c5|~sQ5_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f304,f53])).
% 0.14/0.40 fof(f324,plain,(
% 0.14/0.40 sk_c2=sk_c6|~sQ5_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f304,f217])).
% 0.14/0.40 fof(f325,plain,(
% 0.14/0.40 $false|sQ16_spl|~sQ5_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f324,f157])).
% 0.14/0.40 fof(f326,plain,(
% 0.14/0.40 sQ16_spl|~sQ5_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f325])).
% 0.14/0.40 fof(f327,plain,(
% 0.14/0.40 sk_c2=sk_c6|~sQ5_spl|~sQ6_spl|~sQ17_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f304,f165])).
% 0.14/0.40 fof(f340,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c2)=sk_c2|~sQ17_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f327,f294])).
% 0.14/0.40 fof(f341,plain,(
% 0.14/0.40 sk_c2=multiply(inverse(sk_c2),sk_c2)|~sQ17_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f340,f183])).
% 0.14/0.40 fof(f343,plain,(
% 0.14/0.40 sk_c2=identity|~sQ17_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f27,f341])).
% 0.14/0.40 fof(f347,plain,(
% 0.14/0.40 ~sk_c2=sk_c5|~sQ5_spl|~sQ6_spl|~sQ17_spl|sQ24_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f327,f254])).
% 0.14/0.40 fof(f350,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ4_spl|~sQ3_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f311,f27])).
% 0.14/0.40 fof(f351,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f311,f26])).
% 0.14/0.40 fof(f376,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c4)=sk_c5|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f68,f350])).
% 0.14/0.40 fof(f393,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c2)=sk_c5|~sQ17_spl|~sQ5_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f327,f321])).
% 0.14/0.40 fof(f401,plain,(
% 0.14/0.40 sk_c5=sk_c6|~sQ17_spl|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f393,f294])).
% 0.14/0.40 fof(f402,plain,(
% 0.14/0.40 sk_c5=sk_c2|~sQ17_spl|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f327,f401])).
% 0.14/0.40 fof(f403,plain,(
% 0.14/0.40 $false|sQ24_spl|~sQ17_spl|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f402,f347])).
% 0.14/0.40 fof(f404,plain,(
% 0.14/0.40 sQ24_spl|~sQ17_spl|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f403])).
% 0.14/0.40 fof(f408,plain,(
% 0.14/0.40 ~inverse(sk_c2)=sk_c6|~sQ17_spl|~sQ5_spl|~sQ6_spl|sQ28_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f343,f268])).
% 0.14/0.40 fof(f409,plain,(
% 0.14/0.40 ~sk_c5=sk_c6|~sQ17_spl|~sQ5_spl|~sQ6_spl|sQ28_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f297,f408])).
% 0.14/0.40 fof(f410,plain,(
% 0.14/0.40 ~sk_c5=sk_c2|~sQ17_spl|~sQ5_spl|~sQ6_spl|sQ28_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f327,f409])).
% 0.14/0.40 fof(f412,plain,(
% 0.14/0.40 $false|sQ28_spl|~sQ17_spl|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f402,f410])).
% 0.14/0.40 fof(f413,plain,(
% 0.14/0.40 sQ28_spl|~sQ17_spl|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f412])).
% 0.14/0.40 fof(f425,plain,(
% 0.14/0.40 sk_c7=multiply(inverse(sk_c3),sk_c6)|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f56,f183])).
% 0.14/0.40 fof(f427,plain,(
% 0.14/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f60,f425])).
% 0.14/0.40 fof(f428,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c6)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f433,f56])).
% 0.14/0.40 fof(f429,plain,(
% 0.14/0.40 ~inverse(sk_c6)=sk_c5|~sQ4_spl|~sQ3_spl|sQ5_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f433,f73])).
% 0.14/0.40 fof(f432,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f433,f60])).
% 0.14/0.40 fof(f433,plain,(
% 0.14/0.40 sk_c6=sk_c7|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f351,f37])).
% 0.14/0.40 fof(f436,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ4_spl|~sQ3_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f311,f27])).
% 0.14/0.40 fof(f445,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c3)=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f276])).
% 0.14/0.40 fof(f446,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c3)=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f311,f445])).
% 0.14/0.40 fof(f450,plain,(
% 0.14/0.40 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ4_spl|~sQ3_spl|sQ15_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f153])).
% 0.14/0.40 fof(f474,plain,(
% 0.14/0.40 sk_c6=multiply(inverse(sk_c3),sk_c6)|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f428,f183])).
% 0.14/0.40 fof(f476,plain,(
% 0.14/0.40 sk_c6=multiply(sk_c6,sk_c6)|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f432,f474])).
% 0.14/0.40 fof(f477,plain,(
% 0.14/0.40 $false|sQ15_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f476,f450])).
% 0.14/0.40 fof(f478,plain,(
% 0.14/0.40 sQ15_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f477])).
% 0.14/0.40 fof(f481,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~sQ4_spl|~sQ3_spl|~sQ1_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f274])).
% 0.14/0.40 fof(f497,plain,(
% 0.14/0.40 sk_c6=multiply(sk_c7,sk_c6)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f427])).
% 0.14/0.40 fof(f498,plain,(
% 0.14/0.40 sk_c6=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f433,f497])).
% 0.14/0.40 fof(f500,plain,(
% 0.14/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f498,f183])).
% 0.14/0.40 fof(f503,plain,(
% 0.14/0.40 sk_c6=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f436,f500])).
% 0.14/0.40 fof(f509,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c4)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f503,f376])).
% 0.14/0.40 fof(f510,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c3,multiply(sk_c5,X0))|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f503,f481])).
% 0.14/0.40 fof(f515,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c3)=sk_c5|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f503,f446])).
% 0.14/0.40 fof(f517,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c5|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f503,f432])).
% 0.14/0.40 fof(f519,plain,(
% 0.14/0.40 ~inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ5_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f503,f429])).
% 0.14/0.40 fof(f520,plain,(
% 0.14/0.40 sk_c5=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f503,f433])).
% 0.14/0.40 fof(f526,plain,(
% 0.14/0.40 sk_c4=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f351,f509])).
% 0.14/0.40 fof(f527,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c3,multiply(sk_c5,X0))|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f503,f510])).
% 0.14/0.40 fof(f528,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c3,multiply(sk_c5,X0))|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f351,f527])).
% 0.14/0.40 fof(f529,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f351,f528])).
% 0.14/0.40 fof(f534,plain,(
% 0.14/0.40 sk_c3=sk_c5|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f351,f515])).
% 0.14/0.40 fof(f537,plain,(
% 0.14/0.40 sk_c6=sk_c4|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f526,f503])).
% 0.14/0.40 fof(f543,plain,(
% 0.14/0.40 sk_c3=sk_c4|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f526,f534])).
% 0.14/0.40 fof(f544,plain,(
% 0.14/0.40 sk_c4=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f526,f520])).
% 0.14/0.40 fof(f545,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c4,X0)|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f543,f529])).
% 0.14/0.40 fof(f548,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c5|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f543,f517])).
% 0.14/0.40 fof(f549,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c4|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f526,f548])).
% 0.14/0.40 fof(f576,plain,(
% 0.14/0.40 ~inverse(sk_c4)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f526,f519])).
% 0.14/0.40 fof(f577,plain,(
% 0.14/0.40 ~sk_c4=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f549,f576])).
% 0.14/0.40 fof(f578,plain,(
% 0.14/0.40 ~sk_c4=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f526,f577])).
% 0.14/0.40 fof(f579,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ5_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f578])).
% 0.14/0.40 fof(f580,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ5_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f579])).
% 0.14/0.40 fof(f610,plain,(
% 0.14/0.40 ~multiply(sk_c4,sk_c6)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f544,f54])).
% 0.14/0.40 fof(f611,plain,(
% 0.14/0.40 ~sk_c6=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f545,f610])).
% 0.14/0.40 fof(f612,plain,(
% 0.14/0.40 ~sk_c4=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f537,f611])).
% 0.14/0.40 fof(f613,plain,(
% 0.14/0.40 ~sk_c4=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f526,f612])).
% 0.14/0.40 fof(f614,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f613])).
% 0.14/0.40 fof(f615,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f614])).
% 0.14/0.40 fof(f616,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f75,f76,f77,f81,f82,f83,f84,f88,f89,f90,f91,f95,f96,f97,f98,f111,f117,f123,f127,f150,f154,f158,f219,f269,f326,f404,f413,f478,f580,f615])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.058179 seconds
% 0.14/0.43 % CPU time: 0.180936 seconds
% 0.14/0.43 % Total memory used: 58.258 MB
% 0.14/0.43 % Net memory used: 58.141 MB
%------------------------------------------------------------------------------