%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP278-1 : 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 : n020.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 12:36:22 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP278-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:09:03 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c6) = sk_c5| inverse(sk_c2) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c6) = sk_c5| inverse(sk_c3) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c6| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c6| inverse(sk_c2) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c6| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c4) = sk_c5| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c4) = sk_c5| inverse(sk_c2) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c4) = sk_c5| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c4) = sk_c5| inverse(sk_c3) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f18,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c4) = sk_c5| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f19,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c6,sk_c4) = sk_c5| multiply(sk_c5,sk_c6) = sk_c4 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f20,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c6,sk_c4) = sk_c5| inverse(sk_c2) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f21,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c6,sk_c4) = sk_c5| multiply(sk_c2,sk_c5) = sk_c6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f22,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c6,sk_c4) = sk_c5| inverse(sk_c3) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f23,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c6,sk_c4) = sk_c5| multiply(sk_c3,sk_c4) = sk_c5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f24,negated_conjecture,(
% 0.13/0.38 (![X2,X1,X3]: (( multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6| inverse(sk_c4) != sk_c5| multiply(sk_c6,sk_c4) != sk_c5| 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 ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c5,sk_c6)=sk_c4),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c6)=sk_c5|inverse(sk_c2)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c2,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c6)=sk_c5|inverse(sk_c3)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c3,sk_c4)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c6|multiply(sk_c5,sk_c6)=sk_c4),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c6|inverse(sk_c2)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c6|multiply(sk_c2,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c4)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c5|multiply(sk_c5,sk_c6)=sk_c4),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c5|inverse(sk_c2)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c5|multiply(sk_c2,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c5|inverse(sk_c3)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c5|multiply(sk_c3,sk_c4)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c4)=sk_c5|multiply(sk_c5,sk_c6)=sk_c4),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c4)=sk_c5|inverse(sk_c2)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c4)=sk_c5|multiply(sk_c2,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c4)=sk_c5|inverse(sk_c3)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c4)=sk_c5|multiply(sk_c3,sk_c4)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 ![X3]: (((![X1]: ((((((![X2]: (~multiply(X2,sk_c6)=sk_c5|~inverse(X2)=sk_c6))|~inverse(sk_c4)=sk_c5)|~multiply(sk_c6,sk_c4)=sk_c5)|~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)),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~inverse(sk_c4)=sk_c5|~multiply(sk_c6,sk_c4)=sk_c5|~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)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.38 fof(f50,definition,(
% 0.13/0.38 sQ0_spl <=> (multiply(sk_c1,sk_c6)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c6)=sk_c5|~sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f50])).
% 0.13/0.38 fof(f53,definition,(
% 0.13/0.38 sQ1_spl <=> (multiply(sk_c5,sk_c6)=sk_c4)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c6)=sk_c4|~sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f53])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 ~multiply(sk_c5,sk_c6)=sk_c4|sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f53])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.13/0.38 fof(f57,definition,(
% 0.13/0.38 sQ2_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c6|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f57])).
% 0.13/0.38 fof(f60,plain,(
% 0.13/0.38 sQ0_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.13/0.38 fof(f61,definition,(
% 0.13/0.38 sQ3_spl <=> (multiply(sk_c2,sk_c5)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c5)=sk_c6|~sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f61])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 sQ0_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.13/0.38 fof(f65,definition,(
% 0.13/0.38 sQ4_spl <=> (inverse(sk_c3)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c5|~sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f65])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 sQ0_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.13/0.38 fof(f69,definition,(
% 0.13/0.38 sQ5_spl <=> (multiply(sk_c3,sk_c4)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f70,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c4)=sk_c5|~sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.38 fof(f72,plain,(
% 0.13/0.38 sQ0_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f32,f50,f69])).
% 0.13/0.38 fof(f73,definition,(
% 0.13/0.38 sQ6_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c6|~sQ6_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.38 fof(f76,plain,(
% 0.13/0.38 sQ6_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f33,f73,f53])).
% 0.13/0.38 fof(f77,plain,(
% 0.13/0.38 sQ6_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f34,f73,f57])).
% 0.13/0.38 fof(f78,plain,(
% 0.13/0.38 sQ6_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f35,f73,f61])).
% 0.13/0.38 fof(f79,plain,(
% 0.13/0.38 sQ6_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f36,f73,f65])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 sQ6_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f37,f73,f69])).
% 0.13/0.38 fof(f81,definition,(
% 0.13/0.38 sQ7_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f82,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c5|~sQ7_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.38 fof(f83,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c5|sQ7_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.38 fof(f84,plain,(
% 0.13/0.38 sQ7_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f38,f81,f53])).
% 0.13/0.38 fof(f85,plain,(
% 0.13/0.38 sQ7_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f39,f81,f57])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 sQ7_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f40,f81,f61])).
% 0.13/0.38 fof(f87,plain,(
% 0.13/0.38 sQ7_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f41,f81,f65])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 sQ7_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f42,f81,f69])).
% 0.13/0.38 fof(f89,definition,(
% 0.13/0.38 sQ8_spl <=> (multiply(sk_c6,sk_c4)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c4)=sk_c5|~sQ8_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.38 fof(f91,plain,(
% 0.13/0.38 ~multiply(sk_c6,sk_c4)=sk_c5|sQ8_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 sQ8_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f43,f89,f53])).
% 0.13/0.38 fof(f93,plain,(
% 0.13/0.38 sQ8_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f44,f89,f57])).
% 0.13/0.38 fof(f94,plain,(
% 0.13/0.38 sQ8_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f45,f89,f61])).
% 0.13/0.38 fof(f95,plain,(
% 0.13/0.38 sQ8_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f46,f89,f65])).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 sQ8_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f47,f89,f69])).
% 0.13/0.38 fof(f97,definition,(
% 0.13/0.38 ![X0]: (sQ9_spl <=> (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ9_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.38 fof(f100,definition,(
% 0.13/0.38 ![X1]: (sQ10_spl <=> (~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f101,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ10_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f100])).
% 0.13/0.38 fof(f103,definition,(
% 0.13/0.38 ![X2]: (sQ11_spl <=> (~inverse(X2)=sk_c5|~multiply(X2,sk_c4)=sk_c5))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f104,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c4)=sk_c5|~sQ11_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 sQ9_spl|~sQ7_spl|~sQ8_spl|~sQ1_spl|sQ10_spl|sQ11_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f49,f97,f81,f89,f53,f100,f103])).
% 0.13/0.38 fof(f107,plain,(
% 0.13/0.38 ~inverse(sk_c6)=sk_c5|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f104,f90])).
% 0.13/0.38 fof(f108,plain,(
% 0.13/0.38 ~inverse(sk_c3)=sk_c5|~sQ11_spl|~sQ5_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f104,f70])).
% 0.13/0.38 fof(f109,plain,(
% 0.13/0.38 ~inverse(sk_c6)=sk_c5|~sk_c5=sk_c5|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f90,f104])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 ~sk_c5=sk_c5|~sQ4_spl|~sQ11_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f66,f108])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 $false|~sQ4_spl|~sQ11_spl|~sQ5_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f111])).
% 0.13/0.38 fof(f113,plain,(
% 0.13/0.38 ~sQ4_spl|~sQ11_spl|~sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f112])).
% 0.13/0.38 fof(f114,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c6|~sQ10_spl|~sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f101,f62])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 ~sk_c6=sk_c6|~sQ2_spl|~sQ10_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f58,f114])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 $false|~sQ2_spl|~sQ10_spl|~sQ3_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f116])).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 ~sQ2_spl|~sQ10_spl|~sQ3_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f117])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 ~inverse(sk_c1)=sk_c6|~sQ9_spl|~sQ0_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f98,f51])).
% 0.13/0.38 fof(f121,plain,(
% 0.13/0.38 ~sk_c6=sk_c6|~sQ6_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f74,f119])).
% 0.13/0.38 fof(f122,plain,(
% 0.13/0.38 $false|~sQ6_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f121])).
% 0.13/0.38 fof(f123,plain,(
% 0.13/0.38 ~sQ6_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f122])).
% 0.13/0.38 fof(f126,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c5,X0))|~sQ3_spl)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f62,f27])).
% 0.13/0.38 fof(f128,plain,(
% 0.13/0.38 ![X0,X1]: (~multiply(X0,multiply(X1,sk_c6))=sk_c5|~inverse(multiply(X0,X1))=sk_c6|~sQ9_spl)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f27,f98])).
% 0.13/0.38 fof(f131,plain,(
% 0.13/0.38 ~sk_c4=sk_c5|~inverse(sk_c5)=sk_c6|~sQ9_spl|~sQ1_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f54,f98])).
% 0.13/0.38 fof(f132,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ1_spl)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f54,f27])).
% 0.13/0.38 fof(f133,definition,(
% 0.13/0.38 sQ12_spl <=> (sk_c4=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f134,plain,(
% 0.13/0.38 sk_c4=sk_c5|~sQ12_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.38 fof(f135,plain,(
% 0.13/0.38 ~sk_c4=sk_c5|sQ12_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.38 fof(f136,definition,(
% 0.13/0.38 sQ13_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f138,plain,(
% 0.13/0.38 ~inverse(sk_c5)=sk_c6|sQ13_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.38 fof(f139,plain,(
% 0.13/0.38 ~sQ12_spl|~sQ13_spl|~sQ9_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f131,f133,f136,f97,f53])).
% 0.13/0.38 fof(f154,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f26,f27])).
% 0.13/0.38 fof(f155,definition,(
% 0.13/0.38 sQ16_spl <=> (identity=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f157,plain,(
% 0.13/0.38 ~identity=sk_c5|sQ16_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f155])).
% 0.13/0.38 fof(f162,plain,(
% 0.13/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f25,f154])).
% 0.13/0.38 fof(f177,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f25,f162])).
% 0.13/0.38 fof(f185,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c2),sk_c6)|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f62,f162])).
% 0.13/0.38 fof(f186,plain,(
% 0.13/0.38 sk_c4=multiply(inverse(sk_c3),sk_c5)|~sQ5_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f70,f162])).
% 0.13/0.38 fof(f188,plain,(
% 0.13/0.38 sk_c5=multiply(sk_c6,sk_c6)|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f58,f185])).
% 0.13/0.38 fof(f189,plain,(
% 0.13/0.38 sk_c4=multiply(sk_c5,sk_c5)|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f66,f186])).
% 0.13/0.38 fof(f202,plain,(
% 0.13/0.38 sk_c6=multiply(inverse(sk_c1),sk_c5)|~sQ0_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f51,f162])).
% 0.13/0.38 fof(f204,plain,(
% 0.13/0.38 sk_c6=multiply(sk_c6,sk_c5)|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f74,f202])).
% 0.13/0.38 fof(f205,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f204,f162])).
% 0.13/0.38 fof(f207,plain,(
% 0.13/0.38 sk_c5=identity|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f26,f205])).
% 0.13/0.38 fof(f208,plain,(
% 0.13/0.38 $false|sQ16_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f207,f157])).
% 0.13/0.38 fof(f209,plain,(
% 0.13/0.38 sQ16_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f208])).
% 0.13/0.38 fof(f212,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(inverse(sk_c5),X0)|~sQ6_spl|~sQ0_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f207,f177])).
% 0.13/0.38 fof(f217,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ6_spl|~sQ0_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f207,f26])).
% 0.13/0.38 fof(f218,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c5,X0)=X0|~sQ6_spl|~sQ0_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f207,f25])).
% 0.13/0.38 fof(f219,plain,(
% 0.13/0.38 sk_c6=sk_c4|~sQ6_spl|~sQ0_spl|~sQ1_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f218,f54])).
% 0.13/0.38 fof(f228,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c4|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f219,f58])).
% 0.13/0.38 fof(f234,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c4|~multiply(X0,sk_c5)=sk_c6|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ10_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f219,f101])).
% 0.13/0.38 fof(f235,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c4|~multiply(X0,sk_c5)=sk_c4|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ10_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f219,f234])).
% 0.13/0.38 fof(f247,plain,(
% 0.13/0.38 ~inverse(inverse(sk_c5))=sk_c4|~sk_c5=sk_c4|~sQ1_spl|~sQ10_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f212,f235])).
% 0.13/0.38 fof(f250,definition,(
% 0.13/0.38 sQ20_spl <=> (inverse(inverse(sk_c5))=sk_c4)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f252,plain,(
% 0.13/0.38 ~inverse(inverse(sk_c5))=sk_c4|sQ20_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f250])).
% 0.13/0.38 fof(f253,plain,(
% 0.13/0.38 ~sQ20_spl|~sQ12_spl|~sQ1_spl|~sQ10_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f247,f250,f133,f53,f100,f73,f50])).
% 0.13/0.38 fof(f254,plain,(
% 0.13/0.38 ~sk_c6=sk_c4|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f218,f55])).
% 0.13/0.38 fof(f257,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c4)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f82,f217])).
% 0.13/0.38 fof(f262,plain,(
% 0.13/0.38 sk_c4=sk_c5|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f218,f257])).
% 0.13/0.38 fof(f263,plain,(
% 0.13/0.38 $false|sQ12_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f262,f135])).
% 0.13/0.38 fof(f264,plain,(
% 0.13/0.38 sQ12_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f263])).
% 0.13/0.38 fof(f287,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c6)=sk_c4|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f134,f51])).
% 0.13/0.38 fof(f288,plain,(
% 0.13/0.38 sk_c6=multiply(inverse(sk_c1),sk_c4)|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f287,f162])).
% 0.13/0.38 fof(f290,plain,(
% 0.13/0.38 sk_c6=multiply(sk_c6,sk_c4)|~sQ6_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f74,f288])).
% 0.13/0.38 fof(f298,plain,(
% 0.13/0.38 sk_c4=identity|~sQ12_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f134,f207])).
% 0.13/0.38 fof(f299,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c6|~sQ12_spl|sQ13_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f134,f138])).
% 0.13/0.38 fof(f303,plain,(
% 0.13/0.38 ~sk_c4=sk_c6|~sQ7_spl|~sQ12_spl|sQ13_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f304,f299])).
% 0.13/0.38 fof(f304,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c4|~sQ12_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f134,f82])).
% 0.13/0.38 fof(f321,plain,(
% 0.13/0.38 ~inverse(inverse(sk_c4))=sk_c4|~sQ12_spl|sQ20_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f134,f252])).
% 0.13/0.38 fof(f322,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c4|~sQ7_spl|~sQ12_spl|sQ20_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f304,f321])).
% 0.13/0.38 fof(f323,plain,(
% 0.13/0.38 ~sk_c4=sk_c4|~sQ7_spl|~sQ12_spl|sQ20_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f304,f322])).
% 0.13/0.38 fof(f324,plain,(
% 0.13/0.38 $false|~sQ7_spl|~sQ12_spl|sQ20_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f323])).
% 0.13/0.38 fof(f325,plain,(
% 0.13/0.38 ~sQ7_spl|~sQ12_spl|sQ20_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f324])).
% 0.13/0.38 fof(f342,plain,(
% 0.13/0.38 ~sk_c5=sk_c5|~inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f188,f98])).
% 0.13/0.38 fof(f345,definition,(
% 0.13/0.38 sQ21_spl <=> (sk_c5=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f347,plain,(
% 0.13/0.38 ~sk_c5=sk_c5|sQ21_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f345])).
% 0.13/0.38 fof(f348,definition,(
% 0.13/0.38 sQ22_spl <=> (inverse(sk_c6)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f351,plain,(
% 0.13/0.38 ~sQ21_spl|~sQ22_spl|~sQ9_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f342,f345,f348,f97,f57,f61])).
% 0.13/0.38 fof(f352,plain,(
% 0.13/0.38 $false|sQ21_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f347])).
% 0.13/0.38 fof(f353,plain,(
% 0.13/0.38 sQ21_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f352])).
% 0.13/0.38 fof(f450,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c6)=multiply(sk_c2,sk_c4)|~sQ3_spl|~sQ1_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f54,f126])).
% 0.13/0.38 fof(f453,plain,(
% 0.13/0.38 ~multiply(sk_c6,sk_c6)=sk_c5|~inverse(multiply(sk_c2,sk_c5))=sk_c6|~sQ9_spl|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f126,f128])).
% 0.13/0.38 fof(f457,plain,(
% 0.13/0.38 sk_c5=multiply(sk_c2,sk_c4)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f188,f450])).
% 0.13/0.38 fof(f458,definition,(
% 0.13/0.38 sQ30_spl <=> (multiply(sk_c6,sk_c6)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f460,plain,(
% 0.13/0.38 ~multiply(sk_c6,sk_c6)=sk_c5|sQ30_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f458])).
% 0.13/0.38 fof(f461,definition,(
% 0.13/0.38 sQ31_spl <=> (inverse(multiply(sk_c2,sk_c5))=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f464,plain,(
% 0.13/0.38 ~sQ30_spl|~sQ31_spl|~sQ9_spl|~sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f453,f458,f461,f97,f61])).
% 0.13/0.38 fof(f468,plain,(
% 0.13/0.38 ~sk_c5=sk_c5|~sQ2_spl|~sQ3_spl|sQ30_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f188,f460])).
% 0.13/0.38 fof(f469,plain,(
% 0.13/0.38 $false|~sQ2_spl|~sQ3_spl|sQ30_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f468])).
% 0.13/0.38 fof(f470,plain,(
% 0.13/0.38 ~sQ2_spl|~sQ3_spl|sQ30_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f469])).
% 0.13/0.38 fof(f478,plain,(
% 0.13/0.38 sk_c4=multiply(inverse(sk_c2),sk_c5)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f457,f162])).
% 0.13/0.38 fof(f480,plain,(
% 0.13/0.38 sk_c4=multiply(sk_c6,sk_c5)|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f58,f478])).
% 0.13/0.38 fof(f510,plain,(
% 0.13/0.38 sk_c6=sk_c5|~sQ8_spl|~sQ6_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f90,f290])).
% 0.13/0.38 fof(f512,definition,(
% 0.13/0.38 sQ32_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f514,plain,(
% 0.13/0.38 ~inverse(sk_c6)=sk_c5|sQ32_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f512])).
% 0.13/0.38 fof(f515,plain,(
% 0.13/0.38 ~sQ32_spl|~sQ21_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f109,f512,f345,f103,f89])).
% 0.13/0.38 fof(f517,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c4|~sQ12_spl|~sQ7_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f134,f82])).
% 0.13/0.38 fof(f520,plain,(
% 0.13/0.38 sk_c6=sk_c4|~sQ8_spl|~sQ6_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f134,f510])).
% 0.13/0.38 fof(f529,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c4,X0)=X0|~sQ12_spl|~sQ6_spl|~sQ0_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f298,f25])).
% 0.13/0.38 fof(f542,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ12_spl|~sQ6_spl|~sQ0_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f298,f26])).
% 0.13/0.38 fof(f544,plain,(
% 0.13/0.38 multiply(sk_c4,sk_c2)=sk_c4|~sQ12_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f228,f542])).
% 0.13/0.38 fof(f549,plain,(
% 0.13/0.38 sk_c2=sk_c4|~sQ12_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f529,f544])).
% 0.13/0.38 fof(f563,plain,(
% 0.13/0.38 sk_c6=sk_c2|~sQ1_spl|~sQ2_spl|~sQ8_spl|~sQ6_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f549,f520])).
% 0.13/0.38 fof(f564,plain,(
% 0.13/0.38 sk_c2=sk_c5|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ12_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f549,f134])).
% 0.13/0.38 fof(f572,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ6_spl|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f563,f107])).
% 0.13/0.38 fof(f573,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c2|~sQ1_spl|~sQ2_spl|~sQ6_spl|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f564,f572])).
% 0.13/0.38 fof(f576,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c4|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f549,f517])).
% 0.13/0.38 fof(f577,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c2|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f549,f576])).
% 0.13/0.38 fof(f578,plain,(
% 0.13/0.38 $false|~sQ11_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f577,f573])).
% 0.13/0.38 fof(f579,plain,(
% 0.13/0.38 ~sQ11_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f578])).
% 0.13/0.38 fof(f620,plain,(
% 0.13/0.38 multiply(sk_c4,sk_c6)=multiply(sk_c5,sk_c5)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f188,f132])).
% 0.13/0.38 fof(f624,plain,(
% 0.13/0.38 multiply(sk_c4,sk_c6)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f189,f620])).
% 0.13/0.38 fof(f636,plain,(
% 0.13/0.38 sk_c6=multiply(inverse(sk_c4),sk_c4)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f624,f162])).
% 0.13/0.38 fof(f638,plain,(
% 0.13/0.38 sk_c6=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f26,f636])).
% 0.13/0.38 fof(f640,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f638,f26])).
% 0.13/0.38 fof(f641,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f638,f25])).
% 0.13/0.38 fof(f644,plain,(
% 0.13/0.38 sk_c4=sk_c5|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f641,f480])).
% 0.13/0.38 fof(f645,plain,(
% 0.13/0.38 sk_c5=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f641,f188])).
% 0.13/0.38 fof(f657,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ7_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f644,f83])).
% 0.13/0.38 fof(f659,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c2)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f58,f640])).
% 0.13/0.38 fof(f662,plain,(
% 0.13/0.38 sk_c2=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f641,f659])).
% 0.13/0.38 fof(f665,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c4,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f670,f641])).
% 0.13/0.38 fof(f669,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f670,f58])).
% 0.13/0.39 fof(f670,plain,(
% 0.13/0.39 sk_c4=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f644,f645])).
% 0.13/0.39 fof(f671,plain,(
% 0.13/0.39 sk_c4=sk_c2|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f662,f670])).
% 0.13/0.39 fof(f673,plain,(
% 0.13/0.39 sk_c2=sk_c5|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f671,f644])).
% 0.13/0.39 fof(f676,plain,(
% 0.13/0.39 ~inverse(sk_c2)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ7_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f671,f657])).
% 0.13/0.39 fof(f677,plain,(
% 0.13/0.39 ~inverse(sk_c2)=sk_c2|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl|~sQ1_spl|sQ7_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f671,f676])).
% 0.13/0.39 fof(f678,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c2,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f671,f665])).
% 0.13/0.39 fof(f691,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c2|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f671,f669])).
% 0.13/0.39 fof(f692,plain,(
% 0.13/0.39 $false|sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f691,f677])).
% 0.13/0.39 fof(f693,plain,(
% 0.13/0.39 sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f692])).
% 0.13/0.39 fof(f694,plain,(
% 0.13/0.39 ~sk_c2=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ12_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f671,f135])).
% 0.13/0.39 fof(f695,plain,(
% 0.13/0.39 ~sk_c2=sk_c2|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ12_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f673,f694])).
% 0.13/0.39 fof(f696,plain,(
% 0.13/0.39 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ12_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f695])).
% 0.13/0.39 fof(f697,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ12_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f696])).
% 0.13/0.39 fof(f730,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c4)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f662,f91])).
% 0.13/0.39 fof(f731,plain,(
% 0.13/0.39 ~sk_c4=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f678,f730])).
% 0.13/0.39 fof(f732,plain,(
% 0.13/0.39 ~sk_c2=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f671,f731])).
% 0.13/0.39 fof(f733,plain,(
% 0.13/0.39 ~sk_c2=sk_c2|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f673,f732])).
% 0.13/0.39 fof(f734,plain,(
% 0.13/0.39 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f733])).
% 0.13/0.39 fof(f735,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f734])).
% 0.13/0.39 fof(f765,plain,(
% 0.13/0.39 ~sk_c2=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ12_spl|sQ13_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f671,f303])).
% 0.13/0.39 fof(f766,plain,(
% 0.13/0.39 ~sk_c2=sk_c2|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ12_spl|sQ13_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f662,f765])).
% 0.13/0.39 fof(f767,plain,(
% 0.13/0.39 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ12_spl|sQ13_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f766])).
% 0.13/0.39 fof(f768,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ12_spl|sQ13_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f767])).
% 0.13/0.39 fof(f771,plain,(
% 0.13/0.39 ~inverse(sk_c4)=sk_c5|~sQ8_spl|~sQ6_spl|~sQ12_spl|~sQ0_spl|sQ32_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f520,f514])).
% 0.13/0.39 fof(f772,plain,(
% 0.13/0.39 ~inverse(sk_c4)=sk_c4|~sQ8_spl|~sQ6_spl|~sQ12_spl|~sQ0_spl|sQ32_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f134,f771])).
% 0.13/0.39 fof(f773,plain,(
% 0.13/0.39 $false|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ32_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f304,f772])).
% 0.13/0.39 fof(f774,plain,(
% 0.13/0.39 ~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ32_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f773])).
% 0.13/0.39 fof(f802,plain,(
% 0.13/0.39 ~sk_c4=sk_c4|~sQ8_spl|~sQ12_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f520,f254])).
% 0.13/0.39 fof(f803,plain,(
% 0.13/0.39 $false|~sQ8_spl|~sQ12_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f802])).
% 0.13/0.39 fof(f804,plain,(
% 0.13/0.39 ~sQ8_spl|~sQ12_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f803])).
% 0.13/0.39 fof(f805,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f76,f77,f78,f79,f80,f84,f85,f86,f87,f88,f92,f93,f94,f95,f96,f106,f113,f118,f123,f139,f209,f253,f264,f325,f351,f353,f464,f470,f515,f579,f693,f697,f735,f768,f774,f804])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.045152 seconds
% 0.13/0.41 % CPU time: 0.152407 seconds
% 0.13/0.41 % Total memory used: 33.967 MB
% 0.13/0.41 % Net memory used: 33.891 MB
%------------------------------------------------------------------------------