%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP305-1 : 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 : n005.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 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP305-1 : 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 : n005.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 20:08:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.43 fof(f1,axiom,(
% 0.14/0.43 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f2,axiom,(
% 0.14/0.43 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f3,axiom,(
% 0.14/0.43 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f4,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c6,sk_c5) = sk_c4| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f5,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c6,sk_c5) = sk_c4| inverse(sk_c2) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f6,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c6,sk_c5) = sk_c4| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f7,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c6,sk_c5) = sk_c4| inverse(sk_c3) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f8,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c6,sk_c5) = sk_c4| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f9,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c5,sk_c4) = sk_c6| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f10,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c5,sk_c4) = sk_c6| inverse(sk_c2) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f11,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c5,sk_c4) = sk_c6| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f12,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c5,sk_c4) = sk_c6| inverse(sk_c3) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f13,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c5,sk_c4) = sk_c6| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f14,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c6) = sk_c4| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f15,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c6) = sk_c4| inverse(sk_c2) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f16,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c6) = sk_c4| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f17,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c6) = sk_c4| inverse(sk_c3) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f18,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c6) = sk_c4| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f19,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c1,sk_c6) = sk_c4| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f20,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c1,sk_c6) = sk_c4| inverse(sk_c2) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f21,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c1,sk_c6) = sk_c4| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f22,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c1,sk_c6) = sk_c4| inverse(sk_c3) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f23,negated_conjecture,(
% 0.14/0.43 ( multiply(sk_c1,sk_c6) = sk_c4| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f24,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c1) = sk_c6| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f25,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c1) = sk_c6| inverse(sk_c2) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f26,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c1) = sk_c6| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f27,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f28,negated_conjecture,(
% 0.14/0.43 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f29,negated_conjecture,(
% 0.14/0.43 (![X2,X1,X3]: (( multiply(sk_c6,sk_c5) != sk_c4| multiply(sk_c5,sk_c4) != sk_c6| inverse(sk_c6) != sk_c4| multiply(X2,sk_c6) != sk_c4| inverse(X2) != sk_c6| multiply(sk_c5,sk_c6) != sk_c4| inverse(X1) != sk_c6| multiply(X1,sk_c5) != sk_c6| inverse(X3) != sk_c5| multiply(X3,sk_c4) != sk_c5 ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f30,plain,(
% 0.14/0.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.43 fof(f31,plain,(
% 0.14/0.43 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.43 fof(f32,plain,(
% 0.14/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.43 fof(f33,plain,(
% 0.14/0.43 multiply(sk_c6,sk_c5)=sk_c4|multiply(sk_c5,sk_c6)=sk_c4),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.43 fof(f34,plain,(
% 0.14/0.43 multiply(sk_c6,sk_c5)=sk_c4|inverse(sk_c2)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.43 fof(f35,plain,(
% 0.14/0.43 multiply(sk_c6,sk_c5)=sk_c4|multiply(sk_c2,sk_c5)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.43 fof(f36,plain,(
% 0.14/0.43 multiply(sk_c6,sk_c5)=sk_c4|inverse(sk_c3)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.43 fof(f37,plain,(
% 0.14/0.43 multiply(sk_c6,sk_c5)=sk_c4|multiply(sk_c3,sk_c4)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.43 fof(f38,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c4)=sk_c6|multiply(sk_c5,sk_c6)=sk_c4),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.43 fof(f39,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c4)=sk_c6|inverse(sk_c2)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.43 fof(f40,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c4)=sk_c6|multiply(sk_c2,sk_c5)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.43 fof(f41,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c4)=sk_c6|inverse(sk_c3)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.43 fof(f42,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c4)=sk_c6|multiply(sk_c3,sk_c4)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.43 fof(f43,plain,(
% 0.14/0.43 inverse(sk_c6)=sk_c4|multiply(sk_c5,sk_c6)=sk_c4),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.43 fof(f44,plain,(
% 0.14/0.43 inverse(sk_c6)=sk_c4|inverse(sk_c2)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.43 fof(f45,plain,(
% 0.14/0.43 inverse(sk_c6)=sk_c4|multiply(sk_c2,sk_c5)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.43 fof(f46,plain,(
% 0.14/0.43 inverse(sk_c6)=sk_c4|inverse(sk_c3)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.43 fof(f47,plain,(
% 0.14/0.43 inverse(sk_c6)=sk_c4|multiply(sk_c3,sk_c4)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.43 fof(f48,plain,(
% 0.14/0.43 multiply(sk_c1,sk_c6)=sk_c4|multiply(sk_c5,sk_c6)=sk_c4),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.43 fof(f49,plain,(
% 0.14/0.43 multiply(sk_c1,sk_c6)=sk_c4|inverse(sk_c2)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.43 fof(f50,plain,(
% 0.14/0.43 multiply(sk_c1,sk_c6)=sk_c4|multiply(sk_c2,sk_c5)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.43 fof(f51,plain,(
% 0.14/0.43 multiply(sk_c1,sk_c6)=sk_c4|inverse(sk_c3)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.43 fof(f52,plain,(
% 0.14/0.43 multiply(sk_c1,sk_c6)=sk_c4|multiply(sk_c3,sk_c4)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.43 fof(f53,plain,(
% 0.14/0.43 inverse(sk_c1)=sk_c6|multiply(sk_c5,sk_c6)=sk_c4),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.43 fof(f54,plain,(
% 0.14/0.43 inverse(sk_c1)=sk_c6|inverse(sk_c2)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.43 fof(f55,plain,(
% 0.14/0.43 inverse(sk_c1)=sk_c6|multiply(sk_c2,sk_c5)=sk_c6),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.43 fof(f56,plain,(
% 0.14/0.43 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.43 fof(f57,plain,(
% 0.14/0.43 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c4)=sk_c5),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.43 fof(f58,plain,(
% 0.14/0.43 ![X3]: (((![X1]: ((((![X2]: ((((~multiply(sk_c6,sk_c5)=sk_c4|~multiply(sk_c5,sk_c4)=sk_c6)|~inverse(sk_c6)=sk_c4)|~multiply(X2,sk_c6)=sk_c4)|~inverse(X2)=sk_c6))|~multiply(sk_c5,sk_c6)=sk_c4)|~inverse(X1)=sk_c6)|~multiply(X1,sk_c5)=sk_c6))|~inverse(X3)=sk_c5)|~multiply(X3,sk_c4)=sk_c5)),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f29])).
% 0.14/0.43 fof(f59,plain,(
% 0.14/0.43 ![X0,X1,X2]: (~multiply(sk_c6,sk_c5)=sk_c4|~multiply(sk_c5,sk_c4)=sk_c6|~inverse(sk_c6)=sk_c4|~multiply(X0,sk_c6)=sk_c4|~inverse(X0)=sk_c6|~multiply(sk_c5,sk_c6)=sk_c4|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~inverse(X2)=sk_c5|~multiply(X2,sk_c4)=sk_c5)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.43 fof(f60,definition,(
% 0.14/0.43 sQ0_spl <=> (multiply(sk_c6,sk_c5)=sk_c4)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f61,plain,(
% 0.14/0.43 multiply(sk_c6,sk_c5)=sk_c4|~sQ0_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f60])).
% 0.14/0.43 fof(f62,plain,(
% 0.14/0.43 ~multiply(sk_c6,sk_c5)=sk_c4|sQ0_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f60])).
% 0.14/0.43 fof(f63,definition,(
% 0.14/0.43 sQ1_spl <=> (multiply(sk_c5,sk_c6)=sk_c4)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f64,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c6)=sk_c4|~sQ1_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.43 fof(f65,plain,(
% 0.14/0.43 ~multiply(sk_c5,sk_c6)=sk_c4|sQ1_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.43 fof(f66,plain,(
% 0.14/0.43 sQ0_spl|sQ1_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.14/0.43 fof(f67,definition,(
% 0.14/0.43 sQ2_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f68,plain,(
% 0.14/0.43 inverse(sk_c2)=sk_c6|~sQ2_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f67])).
% 0.14/0.43 fof(f70,plain,(
% 0.14/0.43 sQ0_spl|sQ2_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.14/0.43 fof(f71,definition,(
% 0.14/0.43 sQ3_spl <=> (multiply(sk_c2,sk_c5)=sk_c6)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f72,plain,(
% 0.14/0.43 multiply(sk_c2,sk_c5)=sk_c6|~sQ3_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f71])).
% 0.14/0.43 fof(f74,plain,(
% 0.14/0.43 sQ0_spl|sQ3_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.14/0.43 fof(f75,definition,(
% 0.14/0.43 sQ4_spl <=> (inverse(sk_c3)=sk_c5)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f76,plain,(
% 0.14/0.43 inverse(sk_c3)=sk_c5|~sQ4_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f75])).
% 0.14/0.43 fof(f78,plain,(
% 0.14/0.43 sQ0_spl|sQ4_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.14/0.43 fof(f79,definition,(
% 0.14/0.43 sQ5_spl <=> (multiply(sk_c3,sk_c4)=sk_c5)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f80,plain,(
% 0.14/0.43 multiply(sk_c3,sk_c4)=sk_c5|~sQ5_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f79])).
% 0.14/0.43 fof(f82,plain,(
% 0.14/0.43 sQ0_spl|sQ5_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.14/0.43 fof(f83,definition,(
% 0.14/0.43 sQ6_spl <=> (multiply(sk_c5,sk_c4)=sk_c6)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f84,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c4)=sk_c6|~sQ6_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.43 fof(f85,plain,(
% 0.14/0.43 ~multiply(sk_c5,sk_c4)=sk_c6|sQ6_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.43 fof(f86,plain,(
% 0.14/0.43 sQ6_spl|sQ1_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.14/0.43 fof(f87,plain,(
% 0.14/0.43 sQ6_spl|sQ2_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.14/0.43 fof(f88,plain,(
% 0.14/0.43 sQ6_spl|sQ3_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.14/0.43 fof(f89,plain,(
% 0.14/0.43 sQ6_spl|sQ4_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.14/0.43 fof(f90,plain,(
% 0.14/0.43 sQ6_spl|sQ5_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.14/0.43 fof(f91,definition,(
% 0.14/0.43 sQ7_spl <=> (inverse(sk_c6)=sk_c4)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f92,plain,(
% 0.14/0.43 inverse(sk_c6)=sk_c4|~sQ7_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.43 fof(f93,plain,(
% 0.14/0.43 ~inverse(sk_c6)=sk_c4|sQ7_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.43 fof(f94,plain,(
% 0.14/0.43 sQ7_spl|sQ1_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.14/0.43 fof(f95,plain,(
% 0.14/0.43 sQ7_spl|sQ2_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.14/0.43 fof(f96,plain,(
% 0.14/0.43 sQ7_spl|sQ3_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.14/0.43 fof(f97,plain,(
% 0.14/0.43 sQ7_spl|sQ4_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.14/0.43 fof(f98,plain,(
% 0.14/0.43 sQ7_spl|sQ5_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.14/0.43 fof(f99,definition,(
% 0.14/0.43 sQ8_spl <=> (multiply(sk_c1,sk_c6)=sk_c4)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f100,plain,(
% 0.14/0.43 multiply(sk_c1,sk_c6)=sk_c4|~sQ8_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f99])).
% 0.14/0.43 fof(f102,plain,(
% 0.14/0.43 sQ8_spl|sQ1_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.14/0.43 fof(f103,plain,(
% 0.14/0.43 sQ8_spl|sQ2_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.14/0.43 fof(f104,plain,(
% 0.14/0.43 sQ8_spl|sQ3_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.14/0.43 fof(f105,plain,(
% 0.14/0.43 sQ8_spl|sQ4_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.14/0.43 fof(f106,plain,(
% 0.14/0.43 sQ8_spl|sQ5_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.14/0.43 fof(f107,definition,(
% 0.14/0.43 sQ9_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f108,plain,(
% 0.14/0.43 inverse(sk_c1)=sk_c6|~sQ9_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f107])).
% 0.14/0.43 fof(f110,plain,(
% 0.14/0.43 sQ9_spl|sQ1_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.14/0.43 fof(f111,plain,(
% 0.14/0.43 sQ9_spl|sQ2_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.14/0.43 fof(f112,plain,(
% 0.14/0.43 sQ9_spl|sQ3_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.14/0.43 fof(f113,plain,(
% 0.14/0.43 sQ9_spl|sQ4_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.14/0.43 fof(f114,plain,(
% 0.14/0.43 sQ9_spl|sQ5_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.14/0.43 fof(f115,definition,(
% 0.14/0.43 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c6)=sk_c4|~inverse(X0)=sk_c6))),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f116,plain,(
% 0.14/0.43 ![X0]: (~multiply(X0,sk_c6)=sk_c4|~inverse(X0)=sk_c6|~sQ10_spl)),
% 0.14/0.43 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.43 fof(f118,definition,(
% 0.14/0.43 ![X1]: (sQ11_spl <=> (~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6))),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f119,plain,(
% 0.14/0.43 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ11_spl)),
% 0.14/0.43 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.43 fof(f121,definition,(
% 0.14/0.43 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c5|~multiply(X2,sk_c4)=sk_c5))),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f122,plain,(
% 0.14/0.43 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c4)=sk_c5|~sQ12_spl)),
% 0.14/0.43 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.43 fof(f124,plain,(
% 0.14/0.43 ~sQ0_spl|~sQ6_spl|~sQ7_spl|sQ10_spl|~sQ1_spl|sQ11_spl|sQ12_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f59,f60,f83,f91,f115,f63,f118,f121])).
% 0.14/0.43 fof(f125,plain,(
% 0.14/0.43 ~inverse(sk_c3)=sk_c5|~sQ12_spl|~sQ5_spl),
% 0.14/0.43 inference(resolution,[status(thm)],[f122,f80])).
% 0.14/0.43 fof(f128,plain,(
% 0.14/0.43 ~sk_c5=sk_c5|~sQ4_spl|~sQ12_spl|~sQ5_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f76,f125])).
% 0.14/0.43 fof(f129,plain,(
% 0.14/0.43 $false|~sQ4_spl|~sQ12_spl|~sQ5_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f128])).
% 0.14/0.43 fof(f130,plain,(
% 0.14/0.43 ~sQ4_spl|~sQ12_spl|~sQ5_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f129])).
% 0.14/0.43 fof(f135,plain,(
% 0.14/0.43 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c3,multiply(sk_c4,X0))|~sQ5_spl)),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f80,f32])).
% 0.14/0.43 fof(f141,plain,(
% 0.14/0.43 ~inverse(sk_c6)=sk_c6|~sk_c4=sk_c6|~sQ11_spl|~sQ0_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f61,f119])).
% 0.14/0.43 fof(f147,plain,(
% 0.14/0.43 multiply(sk_c4,sk_c6)=identity|~sQ7_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f92,f31])).
% 0.14/0.43 fof(f149,plain,(
% 0.14/0.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.14/0.43 fof(f150,plain,(
% 0.14/0.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f30,f149])).
% 0.14/0.43 fof(f158,plain,(
% 0.14/0.43 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f150,f150])).
% 0.14/0.43 fof(f159,plain,(
% 0.14/0.43 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f31,f150])).
% 0.14/0.43 fof(f160,plain,(
% 0.14/0.43 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f30,f150])).
% 0.14/0.43 fof(f165,plain,(
% 0.14/0.43 sk_c5=multiply(inverse(sk_c2),sk_c6)|~sQ3_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f72,f150])).
% 0.14/0.43 fof(f166,plain,(
% 0.14/0.43 sk_c4=multiply(inverse(sk_c3),sk_c5)|~sQ5_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f80,f150])).
% 0.14/0.43 fof(f167,plain,(
% 0.14/0.43 sk_c6=multiply(inverse(sk_c1),sk_c4)|~sQ8_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f100,f150])).
% 0.14/0.43 fof(f171,plain,(
% 0.14/0.43 sk_c6=multiply(sk_c6,sk_c4)|~sQ9_spl|~sQ8_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f108,f167])).
% 0.14/0.43 fof(f177,plain,(
% 0.14/0.43 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f160,f150])).
% 0.14/0.43 fof(f182,plain,(
% 0.14/0.43 ~multiply(sk_c1,sk_c6)=sk_c4|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(resolution,[status(thm)],[f116,f108])).
% 0.14/0.43 fof(f185,plain,(
% 0.14/0.43 ~sk_c4=sk_c4|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f100,f182])).
% 0.14/0.43 fof(f186,plain,(
% 0.14/0.43 $false|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f185])).
% 0.14/0.43 fof(f187,plain,(
% 0.14/0.43 ~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f186])).
% 0.14/0.43 fof(f189,plain,(
% 0.14/0.43 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ1_spl)),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f64,f32])).
% 0.14/0.43 fof(f232,plain,(
% 0.14/0.43 sk_c5=multiply(sk_c6,sk_c6)|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f68,f165])).
% 0.14/0.43 fof(f235,plain,(
% 0.14/0.43 sk_c4=multiply(sk_c5,sk_c5)|~sQ4_spl|~sQ5_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f76,f166])).
% 0.14/0.43 fof(f248,plain,(
% 0.14/0.43 inverse(identity)=identity),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f31,f177])).
% 0.14/0.43 fof(f272,plain,(
% 0.14/0.43 multiply(sk_c4,sk_c6)=multiply(sk_c5,sk_c5)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f232,f189])).
% 0.14/0.43 fof(f283,plain,(
% 0.14/0.43 multiply(sk_c4,sk_c6)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f235,f272])).
% 0.14/0.43 fof(f288,plain,(
% 0.14/0.43 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f158,f159])).
% 0.14/0.43 fof(f309,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c6)=multiply(sk_c3,sk_c4)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f283,f135])).
% 0.14/0.43 fof(f311,plain,(
% 0.14/0.43 sk_c6=multiply(inverse(sk_c4),sk_c4)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f283,f150])).
% 0.14/0.43 fof(f313,plain,(
% 0.14/0.43 sk_c4=multiply(sk_c3,sk_c4)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f64,f309])).
% 0.14/0.43 fof(f314,plain,(
% 0.14/0.43 sk_c4=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f80,f313])).
% 0.14/0.43 fof(f316,plain,(
% 0.14/0.43 sk_c6=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f31,f311])).
% 0.14/0.43 fof(f328,plain,(
% 0.14/0.43 ~inverse(sk_c6)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ7_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f314,f93])).
% 0.14/0.43 fof(f338,plain,(
% 0.14/0.43 ~inverse(identity)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ7_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f316,f328])).
% 0.14/0.43 fof(f340,plain,(
% 0.14/0.43 sk_c5=multiply(sk_c6,identity)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f316,f232])).
% 0.14/0.43 fof(f348,plain,(
% 0.14/0.43 ~identity=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ7_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f248,f338])).
% 0.14/0.43 fof(f350,plain,(
% 0.14/0.43 sk_c5=multiply(identity,identity)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f316,f340])).
% 0.14/0.43 fof(f351,plain,(
% 0.14/0.43 sk_c5=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f30,f350])).
% 0.14/0.43 fof(f356,plain,(
% 0.14/0.43 $false|sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f351,f348])).
% 0.14/0.43 fof(f357,plain,(
% 0.14/0.43 sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f356])).
% 0.14/0.43 fof(f358,plain,(
% 0.14/0.43 inverse(identity)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f316,f92])).
% 0.14/0.43 fof(f359,plain,(
% 0.14/0.43 identity=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f248,f358])).
% 0.14/0.43 fof(f360,plain,(
% 0.14/0.43 multiply(sk_c5,sk_c6)=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f314,f147])).
% 0.14/0.43 fof(f361,plain,(
% 0.14/0.43 multiply(sk_c5,identity)=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f316,f360])).
% 0.14/0.44 fof(f381,plain,(
% 0.14/0.44 ~multiply(sk_c5,sk_c5)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ6_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f314,f85])).
% 0.14/0.44 fof(f382,plain,(
% 0.14/0.44 ~multiply(sk_c5,sk_c5)=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ6_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f316,f381])).
% 0.14/0.44 fof(f392,definition,(
% 0.14/0.44 sQ13_spl <=> (inverse(sk_c6)=sk_c6)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f394,plain,(
% 0.14/0.44 ~inverse(sk_c6)=sk_c6|sQ13_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f392])).
% 0.14/0.44 fof(f395,definition,(
% 0.14/0.44 sQ14_spl <=> (sk_c4=sk_c6)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f397,plain,(
% 0.14/0.44 ~sk_c4=sk_c6|sQ14_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f395])).
% 0.14/0.44 fof(f398,plain,(
% 0.14/0.44 ~sQ13_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f141,f392,f395,f118,f60])).
% 0.14/0.44 fof(f403,plain,(
% 0.14/0.44 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f158,f288])).
% 0.14/0.44 fof(f413,plain,(
% 0.14/0.44 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f288,f403])).
% 0.14/0.44 fof(f422,plain,(
% 0.14/0.44 ~sk_c4=sk_c6|~sQ7_spl|sQ13_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f92,f394])).
% 0.14/0.44 fof(f425,plain,(
% 0.14/0.44 inverse(sk_c6)=sk_c1|~sQ9_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f108,f413])).
% 0.14/0.44 fof(f438,plain,(
% 0.14/0.44 sk_c1=sk_c4|~sQ9_spl|~sQ7_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f425,f92])).
% 0.14/0.44 fof(f444,plain,(
% 0.14/0.44 ~sk_c1=sk_c6|~sQ9_spl|~sQ7_spl|sQ14_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f438,f397])).
% 0.14/0.44 fof(f466,plain,(
% 0.14/0.44 sk_c6=multiply(sk_c6,sk_c1)|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f438,f171])).
% 0.14/0.44 fof(f467,plain,(
% 0.14/0.44 sk_c1=multiply(inverse(sk_c6),sk_c6)|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f466,f150])).
% 0.14/0.44 fof(f469,plain,(
% 0.14/0.44 sk_c1=identity|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f31,f467])).
% 0.14/0.44 fof(f470,plain,(
% 0.14/0.44 multiply(sk_c5,sk_c1)=sk_c6|~sQ9_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f438,f84])).
% 0.14/0.44 fof(f476,plain,(
% 0.14/0.44 multiply(sk_c5,identity)=sk_c6|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f469,f470])).
% 0.14/0.44 fof(f479,plain,(
% 0.14/0.44 ~identity=sk_c6|~sQ8_spl|~sQ9_spl|~sQ7_spl|sQ14_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f469,f444])).
% 0.14/0.44 fof(f480,plain,(
% 0.14/0.44 identity=sk_c4|~sQ8_spl|~sQ9_spl|~sQ7_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f469,f438])).
% 0.14/0.44 fof(f482,plain,(
% 0.14/0.44 inverse(identity)=sk_c6|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f469,f108])).
% 0.14/0.44 fof(f484,plain,(
% 0.14/0.44 sk_c5=sk_c6|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f288,f476])).
% 0.14/0.44 fof(f485,plain,(
% 0.14/0.44 identity=sk_c6|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f248,f482])).
% 0.14/0.44 fof(f488,plain,(
% 0.14/0.44 ~identity=sk_c5|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ7_spl|sQ14_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f484,f479])).
% 0.14/0.44 fof(f489,plain,(
% 0.14/0.44 sk_c5=identity|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f485,f484])).
% 0.14/0.44 fof(f490,plain,(
% 0.14/0.44 $false|sQ14_spl|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f489,f488])).
% 0.14/0.44 fof(f491,plain,(
% 0.14/0.44 sQ14_spl|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f490])).
% 0.14/0.44 fof(f492,plain,(
% 0.14/0.44 ~sQ14_spl|~sQ7_spl|sQ13_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f422,f395,f91,f392])).
% 0.14/0.44 fof(f494,plain,(
% 0.14/0.44 ~multiply(sk_c5,identity)=sk_c4|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f485,f65])).
% 0.14/0.44 fof(f495,plain,(
% 0.14/0.44 ~sk_c5=sk_c4|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f288,f494])).
% 0.14/0.44 fof(f496,plain,(
% 0.14/0.44 ~sk_c5=identity|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f480,f495])).
% 0.14/0.44 fof(f536,plain,(
% 0.14/0.44 ~identity=identity|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f489,f496])).
% 0.14/0.44 fof(f537,plain,(
% 0.14/0.44 $false|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f536])).
% 0.14/0.44 fof(f538,plain,(
% 0.14/0.44 ~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ1_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f537])).
% 0.14/0.44 fof(f619,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c4)=sk_c5|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f489,f122])).
% 0.14/0.44 fof(f620,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c5|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f480,f619])).
% 0.14/0.44 fof(f621,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=identity|~X0=sk_c5|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f288,f620])).
% 0.14/0.44 fof(f622,plain,(
% 0.14/0.44 ![X0]: (~inverse(X0)=identity|~X0=identity|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f489,f621])).
% 0.14/0.44 fof(f623,plain,(
% 0.14/0.44 ~inverse(identity)=identity|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl),
% 0.14/0.44 inference(destructive_equality_resolution,[status(thm)],[f622])).
% 0.14/0.44 fof(f624,plain,(
% 0.14/0.44 $false|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f623,f248])).
% 0.14/0.44 fof(f625,plain,(
% 0.14/0.44 ~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ12_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f624])).
% 0.14/0.44 fof(f627,plain,(
% 0.14/0.44 sk_c5=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f288,f361])).
% 0.14/0.44 fof(f653,plain,(
% 0.14/0.44 ~identity=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|sQ14_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f359,f397])).
% 0.14/0.44 fof(f654,plain,(
% 0.14/0.44 ~identity=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|sQ14_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f316,f653])).
% 0.14/0.44 fof(f655,plain,(
% 0.14/0.44 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|sQ14_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f654])).
% 0.14/0.44 fof(f656,plain,(
% 0.14/0.44 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|sQ14_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f655])).
% 0.14/0.44 fof(f752,plain,(
% 0.14/0.44 ![X0]: (~multiply(X0,identity)=sk_c4|~inverse(X0)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ10_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f316,f116])).
% 0.14/0.44 fof(f753,plain,(
% 0.14/0.44 ![X0]: (~X0=sk_c4|~inverse(X0)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ10_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f288,f752])).
% 0.14/0.44 fof(f754,plain,(
% 0.14/0.44 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ10_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f359,f753])).
% 0.14/0.44 fof(f755,plain,(
% 0.14/0.44 ![X0]: (~X0=identity|~inverse(X0)=identity|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ10_spl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f316,f754])).
% 0.14/0.44 fof(f756,plain,(
% 0.14/0.44 ~inverse(identity)=identity|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ10_spl),
% 0.14/0.44 inference(destructive_equality_resolution,[status(thm)],[f755])).
% 0.14/0.44 fof(f757,plain,(
% 0.14/0.44 $false|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ10_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f756,f248])).
% 0.14/0.44 fof(f758,plain,(
% 0.14/0.44 ~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ10_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f757])).
% 0.14/0.44 fof(f779,plain,(
% 0.14/0.44 ~multiply(identity,sk_c5)=identity|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ6_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f627,f382])).
% 0.14/0.44 fof(f780,plain,(
% 0.14/0.44 ~sk_c5=identity|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ6_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f30,f779])).
% 0.14/0.44 fof(f781,plain,(
% 0.14/0.44 ~identity=identity|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ6_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f627,f780])).
% 0.14/0.44 fof(f782,plain,(
% 0.14/0.44 $false|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ6_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f781])).
% 0.14/0.44 fof(f783,plain,(
% 0.14/0.44 ~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ6_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f782])).
% 0.14/0.44 fof(f789,plain,(
% 0.14/0.44 ~multiply(identity,sk_c5)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f316,f62])).
% 0.14/0.44 fof(f790,plain,(
% 0.14/0.44 ~sk_c5=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f30,f789])).
% 0.14/0.44 fof(f791,plain,(
% 0.14/0.44 ~identity=sk_c4|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f627,f790])).
% 0.14/0.44 fof(f792,plain,(
% 0.14/0.44 ~identity=identity|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f359,f791])).
% 0.14/0.44 fof(f793,plain,(
% 0.14/0.44 $false|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f792])).
% 0.14/0.44 fof(f794,plain,(
% 0.14/0.44 ~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f793])).
% 0.14/0.44 fof(f795,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f124,f130,f187,f357,f398,f491,f492,f538,f625,f656,f758,f783,f794])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.080863 seconds
% 0.14/0.45 % CPU time: 0.360095 seconds
% 0.14/0.45 % Total memory used: 69.157 MB
% 0.14/0.45 % Net memory used: 68.967 MB
%------------------------------------------------------------------------------