%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP355-1 : 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 : n004.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 12:36:30 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 : GRP355-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.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 20:10:20 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f8,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c5) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f9,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f10,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f12,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c2) = sk_c8 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f13,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f14,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f15,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c5) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f16,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f17,negated_conjecture,(
% 0.11/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f18,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f19,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c2) = sk_c8 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f20,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f21,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f22,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c5) = sk_c6 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f23,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f24,negated_conjecture,(
% 0.11/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f25,negated_conjecture,(
% 0.11/0.40 (![X2,X1,X3,X4,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X3,sk_c6) != sk_c7| inverse(X3) != sk_c6| multiply(sk_c8,X4) != sk_c6| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8 ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f26,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(f27,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(f28,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(f29,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f31,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f32,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f33,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c5)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.40 fof(f34,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.40 fof(f35,plain,(
% 0.11/0.40 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.40 fof(f36,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.40 fof(f37,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.40 fof(f38,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.40 fof(f39,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.40 fof(f40,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c5)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.40 fof(f41,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.40 fof(f42,plain,(
% 0.11/0.40 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.40 fof(f44,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c2)=sk_c8),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.40 fof(f45,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.40 fof(f46,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.40 fof(f47,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c5)=sk_c6),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.40 fof(f48,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.40 fof(f49,plain,(
% 0.11/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.40 fof(f50,plain,(
% 0.11/0.40 ![X5]: ((![X4]: (((![X3]: (((![X1]: (((![X2]: ((~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X3,sk_c6)=sk_c7)|~inverse(X3)=sk_c6))|~multiply(sk_c8,X4)=sk_c6)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f25])).
% 0.11/0.41 fof(f51,plain,(
% 0.11/0.41 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~multiply(sk_c8,X3)=sk_c6|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f50])).
% 0.11/0.41 fof(f52,definition,(
% 0.11/0.41 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f53,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c6)=sk_c8|~sQ0_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.41 fof(f54,plain,(
% 0.11/0.41 ~multiply(sk_c7,sk_c6)=sk_c8|sQ0_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.41 fof(f55,definition,(
% 0.11/0.41 sQ1_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f56,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c8)=sk_c7|~sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f55])).
% 0.11/0.41 fof(f58,plain,(
% 0.11/0.41 sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f29,f52,f55])).
% 0.11/0.41 fof(f59,definition,(
% 0.11/0.41 sQ2_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f60,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c8|~sQ2_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f59])).
% 0.11/0.41 fof(f63,definition,(
% 0.11/0.41 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f64,plain,(
% 0.11/0.41 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.11/0.41 fof(f66,plain,(
% 0.11/0.41 sQ0_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f31,f52,f63])).
% 0.11/0.41 fof(f67,definition,(
% 0.11/0.41 sQ4_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f68,plain,(
% 0.11/0.41 inverse(sk_c3)=sk_c6|~sQ4_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f67])).
% 0.11/0.41 fof(f70,plain,(
% 0.11/0.41 sQ0_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f32,f52,f67])).
% 0.11/0.41 fof(f71,definition,(
% 0.11/0.41 sQ5_spl <=> (multiply(sk_c8,sk_c5)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f72,plain,(
% 0.11/0.41 multiply(sk_c8,sk_c5)=sk_c6|~sQ5_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f71])).
% 0.11/0.41 fof(f74,plain,(
% 0.11/0.41 sQ0_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f33,f52,f71])).
% 0.11/0.41 fof(f75,definition,(
% 0.11/0.41 sQ6_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f76,plain,(
% 0.11/0.41 multiply(sk_c4,sk_c8)=sk_c5|~sQ6_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f75])).
% 0.11/0.41 fof(f78,plain,(
% 0.11/0.41 sQ0_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f34,f52,f75])).
% 0.11/0.41 fof(f79,definition,(
% 0.11/0.41 sQ7_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f80,plain,(
% 0.11/0.41 inverse(sk_c4)=sk_c8|~sQ7_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f79])).
% 0.11/0.41 fof(f82,plain,(
% 0.11/0.41 sQ0_spl|sQ7_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f35,f52,f79])).
% 0.11/0.41 fof(f83,definition,(
% 0.11/0.41 sQ8_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f84,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c8)=sk_c7|~sQ8_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.41 fof(f86,plain,(
% 0.11/0.41 sQ8_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f36,f83,f55])).
% 0.11/0.41 fof(f87,plain,(
% 0.11/0.41 sQ8_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f37,f83,f59])).
% 0.11/0.41 fof(f88,plain,(
% 0.11/0.41 sQ8_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.11/0.41 fof(f89,plain,(
% 0.11/0.41 sQ8_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.11/0.41 fof(f90,plain,(
% 0.11/0.41 sQ8_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.11/0.41 fof(f91,plain,(
% 0.11/0.41 sQ8_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.11/0.41 fof(f92,plain,(
% 0.11/0.41 sQ8_spl|sQ7_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.11/0.41 fof(f93,definition,(
% 0.11/0.41 sQ9_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f94,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c8|~sQ9_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.11/0.41 fof(f96,plain,(
% 0.11/0.41 sQ9_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f43,f93,f55])).
% 0.11/0.41 fof(f97,plain,(
% 0.11/0.41 sQ9_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f44,f93,f59])).
% 0.11/0.41 fof(f98,plain,(
% 0.11/0.41 sQ9_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f45,f93,f63])).
% 0.11/0.41 fof(f99,plain,(
% 0.11/0.41 sQ9_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f46,f93,f67])).
% 0.11/0.41 fof(f100,plain,(
% 0.11/0.41 sQ9_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f47,f93,f71])).
% 0.11/0.41 fof(f101,plain,(
% 0.11/0.41 sQ9_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f48,f93,f75])).
% 0.11/0.41 fof(f102,plain,(
% 0.11/0.41 sQ9_spl|sQ7_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f49,f93,f79])).
% 0.11/0.41 fof(f103,definition,(
% 0.11/0.41 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f104,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ10_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f103])).
% 0.11/0.41 fof(f106,definition,(
% 0.11/0.41 ![X2]: (sQ11_spl <=> (~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f107,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f106])).
% 0.11/0.41 fof(f109,definition,(
% 0.11/0.41 ![X3,X4]: (sQ12_spl <=> (~multiply(sk_c8,X3)=sk_c6|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f110,plain,(
% 0.11/0.41 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c6|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ12_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.11/0.41 fof(f112,plain,(
% 0.11/0.41 ~sQ0_spl|sQ10_spl|sQ11_spl|sQ12_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f51,f52,f103,f106,f109])).
% 0.11/0.41 fof(f113,plain,(
% 0.11/0.41 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c6|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.11/0.41 inference(destructive_equality_resolution,[status(thm)],[f110])).
% 0.11/0.41 fof(f116,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~sQ1_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f56,f28])).
% 0.11/0.41 fof(f120,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c8,X0))|~sQ8_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f84,f28])).
% 0.11/0.41 fof(f142,plain,(
% 0.11/0.41 ~multiply(sk_c8,sk_c5)=sk_c6|~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ6_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f76,f113])).
% 0.11/0.41 fof(f143,plain,(
% 0.11/0.41 ~multiply(sk_c8,sk_c7)=sk_c6|~inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ8_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f84,f113])).
% 0.11/0.41 fof(f151,definition,(
% 0.11/0.41 sQ15_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f153,plain,(
% 0.11/0.41 ~multiply(sk_c8,sk_c7)=sk_c6|sQ15_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f151])).
% 0.11/0.41 fof(f155,plain,(
% 0.11/0.41 ~sQ5_spl|~sQ7_spl|~sQ12_spl|~sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f142,f71,f79,f109,f75])).
% 0.11/0.41 fof(f156,plain,(
% 0.11/0.41 ~sQ15_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f143,f151,f93,f109,f83])).
% 0.11/0.41 fof(f157,plain,(
% 0.11/0.41 ~inverse(sk_c1)=sk_c8|~sQ10_spl|~sQ8_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f104,f84])).
% 0.11/0.41 fof(f160,plain,(
% 0.11/0.41 ~sk_c8=sk_c8|~sQ9_spl|~sQ10_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f94,f157])).
% 0.11/0.41 fof(f161,plain,(
% 0.11/0.41 $false|~sQ9_spl|~sQ10_spl|~sQ8_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f160])).
% 0.11/0.41 fof(f162,plain,(
% 0.11/0.41 ~sQ9_spl|~sQ10_spl|~sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f161])).
% 0.11/0.41 fof(f164,plain,(
% 0.11/0.41 multiply(sk_c8,sk_c4)=identity|~sQ7_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f80,f27])).
% 0.11/0.41 fof(f168,plain,(
% 0.11/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.11/0.41 fof(f169,plain,(
% 0.11/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f26,f168])).
% 0.11/0.41 fof(f174,plain,(
% 0.11/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c4,X0))|~sQ7_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f164,f28])).
% 0.11/0.41 fof(f175,plain,(
% 0.11/0.41 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~sQ7_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f26,f174])).
% 0.11/0.41 fof(f178,plain,(
% 0.11/0.41 ~inverse(sk_c3)=sk_c6|~sQ11_spl|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f107,f64])).
% 0.11/0.41 fof(f183,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~sQ4_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f68,f178])).
% 0.11/0.41 fof(f184,plain,(
% 0.11/0.41 $false|~sQ4_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f183])).
% 0.11/0.41 fof(f185,plain,(
% 0.11/0.41 ~sQ4_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f184])).
% 0.11/0.41 fof(f194,plain,(
% 0.11/0.41 sk_c8=multiply(sk_c8,sk_c5)|~sQ7_spl|~sQ6_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f76,f175])).
% 0.11/0.41 fof(f197,plain,(
% 0.11/0.41 sk_c8=sk_c6|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f194,f72])).
% 0.11/0.41 fof(f201,plain,(
% 0.11/0.41 ~multiply(sk_c7,sk_c8)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f197,f54])).
% 0.11/0.41 fof(f202,plain,(
% 0.11/0.41 multiply(sk_c3,sk_c8)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f197,f64])).
% 0.11/0.41 fof(f203,plain,(
% 0.11/0.41 inverse(sk_c3)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f197,f68])).
% 0.11/0.41 fof(f212,plain,(
% 0.11/0.41 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f202,f169])).
% 0.11/0.41 fof(f218,plain,(
% 0.11/0.41 sk_c5=multiply(inverse(sk_c8),sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f194,f169])).
% 0.11/0.41 fof(f223,plain,(
% 0.11/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f26,f169])).
% 0.11/0.41 fof(f226,plain,(
% 0.11/0.41 sk_c8=multiply(sk_c8,sk_c7)|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f203,f212])).
% 0.11/0.41 fof(f227,plain,(
% 0.11/0.41 sk_c5=identity|~sQ7_spl|~sQ6_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f27,f218])).
% 0.11/0.41 fof(f235,plain,(
% 0.11/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ7_spl|~sQ6_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f227,f27])).
% 0.11/0.41 fof(f236,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ7_spl|~sQ6_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f227,f26])).
% 0.11/0.41 fof(f255,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c7)=multiply(sk_c2,sk_c8)|~sQ1_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f226,f116])).
% 0.11/0.41 fof(f260,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c7)=sk_c7|~sQ1_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f56,f255])).
% 0.11/0.41 fof(f281,plain,(
% 0.11/0.41 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ1_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f260,f169])).
% 0.11/0.41 fof(f283,plain,(
% 0.11/0.41 sk_c7=sk_c5|~sQ1_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f235,f281])).
% 0.11/0.41 fof(f288,plain,(
% 0.11/0.41 ~multiply(sk_c5,sk_c8)=sk_c8|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f283,f201])).
% 0.11/0.41 fof(f289,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c8)=sk_c5|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f283,f56])).
% 0.11/0.41 fof(f294,plain,(
% 0.11/0.41 ~sk_c8=sk_c8|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f236,f288])).
% 0.11/0.41 fof(f295,plain,(
% 0.11/0.41 $false|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f294])).
% 0.11/0.41 fof(f296,plain,(
% 0.11/0.41 ~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f295])).
% 0.11/0.41 fof(f301,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c5|~inverse(X0)=sk_c8|~sQ1_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ10_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f283,f104])).
% 0.11/0.41 fof(f313,plain,(
% 0.11/0.41 ~inverse(sk_c2)=sk_c8|~sQ10_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f301,f289])).
% 0.11/0.41 fof(f324,plain,(
% 0.11/0.41 ~sk_c8=sk_c8|~sQ2_spl|~sQ10_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f60,f313])).
% 0.11/0.41 fof(f325,plain,(
% 0.11/0.41 $false|~sQ2_spl|~sQ10_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f324])).
% 0.11/0.41 fof(f326,plain,(
% 0.11/0.41 ~sQ2_spl|~sQ10_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ1_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f325])).
% 0.11/0.41 fof(f327,definition,(
% 0.11/0.41 sQ16_spl <=> (identity=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f329,plain,(
% 0.11/0.41 ~identity=sk_c7|sQ16_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f327])).
% 0.11/0.41 fof(f341,plain,(
% 0.11/0.41 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ8_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f84,f169])).
% 0.11/0.41 fof(f343,plain,(
% 0.11/0.41 sk_c8=multiply(sk_c8,sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f94,f341])).
% 0.11/0.41 fof(f359,plain,(
% 0.11/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f169,f223])).
% 0.11/0.41 fof(f386,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c7)=multiply(sk_c1,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f343,f120])).
% 0.11/0.41 fof(f391,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f84,f386])).
% 0.11/0.41 fof(f407,plain,(
% 0.11/0.41 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f391,f169])).
% 0.11/0.41 fof(f409,plain,(
% 0.11/0.41 sk_c7=identity|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f27,f407])).
% 0.11/0.41 fof(f410,plain,(
% 0.11/0.41 $false|sQ16_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f409,f329])).
% 0.11/0.41 fof(f411,plain,(
% 0.11/0.41 sQ16_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f410])).
% 0.11/0.41 fof(f412,plain,(
% 0.11/0.41 ~sk_c8=sk_c6|~sQ9_spl|~sQ8_spl|sQ15_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f343,f153])).
% 0.11/0.41 fof(f417,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f409,f359])).
% 0.11/0.41 fof(f424,plain,(
% 0.11/0.41 sk_c6=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f417,f53])).
% 0.11/0.41 fof(f428,plain,(
% 0.11/0.41 $false|sQ15_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f424,f412])).
% 0.11/0.41 fof(f429,plain,(
% 0.11/0.41 sQ15_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f428])).
% 0.11/0.41 fof(f438,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f424,f107])).
% 0.11/0.41 fof(f439,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f424,f438])).
% 0.11/0.41 fof(f441,plain,(
% 0.11/0.41 ~inverse(sk_c1)=sk_c8|~sQ9_spl|~sQ0_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f439,f84])).
% 0.11/0.41 fof(f446,plain,(
% 0.11/0.41 ~sk_c8=sk_c8|~sQ9_spl|~sQ0_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f94,f441])).
% 0.11/0.41 fof(f447,plain,(
% 0.11/0.41 $false|~sQ9_spl|~sQ0_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f446])).
% 0.11/0.41 fof(f448,plain,(
% 0.11/0.41 ~sQ9_spl|~sQ0_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f447])).
% 0.11/0.41 fof(f449,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f58,f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f91,f92,f96,f97,f98,f99,f100,f101,f102,f112,f155,f156,f162,f185,f296,f326,f411,f429,f448])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.057149 seconds
% 0.11/0.43 % CPU time: 0.164627 seconds
% 0.11/0.43 % Total memory used: 102.628 MB
% 0.11/0.43 % Net memory used: 102.359 MB
%------------------------------------------------------------------------------