%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP292-1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP292-1 : 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 : n007.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 20:06:35 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.45 % Refutation found
% 0.14/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.45 fof(f1,axiom,(
% 0.14/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f2,axiom,(
% 0.14/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f3,axiom,(
% 0.14/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f4,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f5,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f6,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c4 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f7,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f8,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f9,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f10,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f11,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f12,negated_conjecture,(
% 0.14/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f13,negated_conjecture,(
% 0.14/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f14,negated_conjecture,(
% 0.14/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f15,negated_conjecture,(
% 0.14/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f16,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f17,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f18,negated_conjecture,(
% 0.14/0.45 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f20,negated_conjecture,(
% 0.14/0.45 ( inverse(sk_c2) = sk_c5| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f21,negated_conjecture,(
% 0.14/0.45 ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f22,negated_conjecture,(
% 0.14/0.45 ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c4 ) ),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f24,negated_conjecture,(
% 0.14/0.45 (![X3,X4,X2,X1]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c5) != sk_c6| inverse(X4) != sk_c5| multiply(sk_c5,sk_c6) != sk_c7| multiply(X2,X1) != sk_c6| inverse(X2) != X1| multiply(X1,sk_c5) != sk_c6 ) ))),
% 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.45 fof(f25,plain,(
% 0.14/0.45 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.45 fof(f26,plain,(
% 0.14/0.45 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.45 fof(f27,plain,(
% 0.14/0.45 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.45 fof(f28,plain,(
% 0.14/0.45 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.45 fof(f29,plain,(
% 0.14/0.45 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c4)=sk_c6),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.45 fof(f30,plain,(
% 0.14/0.45 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c4),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.45 fof(f31,plain,(
% 0.14/0.45 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.45 fof(f32,plain,(
% 0.14/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.45 fof(f33,plain,(
% 0.14/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.45 fof(f34,plain,(
% 0.14/0.45 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.45 fof(f35,plain,(
% 0.14/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.45 fof(f36,plain,(
% 0.14/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.45 fof(f37,plain,(
% 0.14/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c4)=sk_c6),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.45 fof(f38,plain,(
% 0.14/0.45 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.45 fof(f39,plain,(
% 0.14/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.45 fof(f40,plain,(
% 0.14/0.45 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.45 fof(f41,plain,(
% 0.14/0.45 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.45 fof(f42,plain,(
% 0.14/0.45 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.45 fof(f44,plain,(
% 0.14/0.45 inverse(sk_c2)=sk_c5|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.45 fof(f45,plain,(
% 0.14/0.45 inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c4)=sk_c6),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.45 fof(f46,plain,(
% 0.14/0.45 inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c4),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.45 fof(f48,plain,(
% 0.14/0.45 ![X1]: ((![X2]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c5)=sk_c6)|~inverse(X4)=sk_c5))|~multiply(sk_c5,sk_c6)=sk_c7)|~multiply(X2,X1)=sk_c6)|~inverse(X2)=X1))|~multiply(X1,sk_c5)=sk_c6)),
% 0.14/0.45 inference(miniscoping,[status(thm)],[f24])).
% 0.14/0.45 fof(f49,plain,(
% 0.14/0.45 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c5)=sk_c6|~inverse(X1)=sk_c5|~multiply(sk_c5,sk_c6)=sk_c7|~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c5)=sk_c6)),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.45 fof(f50,definition,(
% 0.14/0.45 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f51,plain,(
% 0.14/0.45 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f50])).
% 0.14/0.45 fof(f52,plain,(
% 0.14/0.45 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f50])).
% 0.14/0.45 fof(f53,definition,(
% 0.14/0.45 sQ1_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f54,plain,(
% 0.14/0.45 multiply(sk_c5,sk_c6)=sk_c7|~sQ1_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f53])).
% 0.14/0.45 fof(f55,plain,(
% 0.14/0.45 ~multiply(sk_c5,sk_c6)=sk_c7|sQ1_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f53])).
% 0.14/0.45 fof(f56,plain,(
% 0.14/0.45 sQ0_spl|sQ1_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.14/0.45 fof(f57,definition,(
% 0.14/0.45 sQ2_spl <=> (multiply(sk_c3,sk_c4)=sk_c6)),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f58,plain,(
% 0.14/0.45 multiply(sk_c3,sk_c4)=sk_c6|~sQ2_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f57])).
% 0.14/0.45 fof(f60,plain,(
% 0.14/0.45 sQ0_spl|sQ2_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.14/0.45 fof(f61,definition,(
% 0.14/0.46 sQ3_spl <=> (inverse(sk_c3)=sk_c4)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f62,plain,(
% 0.14/0.46 inverse(sk_c3)=sk_c4|~sQ3_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f61])).
% 0.14/0.46 fof(f64,plain,(
% 0.14/0.46 sQ0_spl|sQ3_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.14/0.46 fof(f65,definition,(
% 0.14/0.46 sQ4_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f66,plain,(
% 0.14/0.46 multiply(sk_c4,sk_c5)=sk_c6|~sQ4_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f65])).
% 0.14/0.46 fof(f68,plain,(
% 0.14/0.46 sQ0_spl|sQ4_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.14/0.46 fof(f69,definition,(
% 0.14/0.46 sQ5_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f70,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c7)=sk_c6|~sQ5_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f69])).
% 0.14/0.46 fof(f72,plain,(
% 0.14/0.46 sQ5_spl|sQ1_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f32,f69,f53])).
% 0.14/0.46 fof(f73,plain,(
% 0.14/0.46 sQ5_spl|sQ2_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f33,f69,f57])).
% 0.14/0.46 fof(f74,plain,(
% 0.14/0.46 sQ5_spl|sQ3_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f34,f69,f61])).
% 0.14/0.46 fof(f75,plain,(
% 0.14/0.46 sQ5_spl|sQ4_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f35,f69,f65])).
% 0.14/0.46 fof(f76,definition,(
% 0.14/0.46 sQ6_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f77,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c7|~sQ6_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f76])).
% 0.14/0.46 fof(f78,plain,(
% 0.14/0.46 ~inverse(sk_c1)=sk_c7|sQ6_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f76])).
% 0.14/0.46 fof(f79,plain,(
% 0.14/0.46 sQ6_spl|sQ1_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f36,f76,f53])).
% 0.14/0.46 fof(f80,plain,(
% 0.14/0.46 sQ6_spl|sQ2_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f37,f76,f57])).
% 0.14/0.46 fof(f81,plain,(
% 0.14/0.46 sQ6_spl|sQ3_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f38,f76,f61])).
% 0.14/0.46 fof(f82,plain,(
% 0.14/0.46 sQ6_spl|sQ4_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f39,f76,f65])).
% 0.14/0.46 fof(f83,definition,(
% 0.14/0.46 sQ7_spl <=> (multiply(sk_c2,sk_c5)=sk_c6)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f84,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c5)=sk_c6|~sQ7_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.46 fof(f86,plain,(
% 0.14/0.46 sQ7_spl|sQ1_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f40,f83,f53])).
% 0.14/0.46 fof(f87,plain,(
% 0.14/0.46 sQ7_spl|sQ2_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f41,f83,f57])).
% 0.14/0.46 fof(f88,plain,(
% 0.14/0.46 sQ7_spl|sQ3_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f42,f83,f61])).
% 0.14/0.46 fof(f90,definition,(
% 0.14/0.46 sQ8_spl <=> (inverse(sk_c2)=sk_c5)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f91,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c5|~sQ8_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.46 fof(f93,plain,(
% 0.14/0.46 sQ8_spl|sQ1_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f44,f90,f53])).
% 0.14/0.46 fof(f94,plain,(
% 0.14/0.46 sQ8_spl|sQ2_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f45,f90,f57])).
% 0.14/0.46 fof(f95,plain,(
% 0.14/0.46 sQ8_spl|sQ3_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f46,f90,f61])).
% 0.14/0.46 fof(f97,definition,(
% 0.14/0.46 ![X0]: (sQ9_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f98,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ9_spl)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.46 fof(f100,definition,(
% 0.14/0.46 ![X1]: (sQ10_spl <=> (~multiply(X1,sk_c5)=sk_c6|~inverse(X1)=sk_c5))),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f101,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=sk_c5|~sQ10_spl)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f100])).
% 0.14/0.46 fof(f103,definition,(
% 0.14/0.46 ![X2,X3]: (sQ11_spl <=> (~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c5)=sk_c6))),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f104,plain,(
% 0.14/0.46 ![X0,X1]: (~multiply(X0,X1)=sk_c6|~inverse(X0)=X1|~multiply(X1,sk_c5)=sk_c6|~sQ11_spl)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f103])).
% 0.14/0.46 fof(f106,plain,(
% 0.14/0.46 ~sQ0_spl|sQ9_spl|sQ10_spl|~sQ1_spl|sQ11_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f49,f50,f97,f100,f53,f103])).
% 0.14/0.46 fof(f107,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c5)=sk_c6|~sQ11_spl)),
% 0.14/0.46 inference(destructive_equality_resolution,[status(thm)],[f104])).
% 0.14/0.46 fof(f109,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ1_spl)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f54,f27])).
% 0.14/0.46 fof(f146,plain,(
% 0.14/0.46 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|~multiply(sk_c4,sk_c5)=sk_c6|~sQ11_spl|~sQ3_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f62,f107])).
% 0.14/0.46 fof(f161,definition,(
% 0.14/0.46 sQ16_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c6)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f163,plain,(
% 0.14/0.46 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|sQ16_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f161])).
% 0.14/0.46 fof(f164,plain,(
% 0.14/0.46 ~sQ16_spl|~sQ4_spl|~sQ11_spl|~sQ3_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f146,f161,f65,f103,f61])).
% 0.14/0.46 fof(f165,plain,(
% 0.14/0.46 ~multiply(sk_c3,sk_c4)=sk_c6|~sQ3_spl|sQ16_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f62,f163])).
% 0.14/0.46 fof(f166,plain,(
% 0.14/0.46 ~sk_c6=sk_c6|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f58,f165])).
% 0.14/0.46 fof(f167,plain,(
% 0.14/0.46 $false|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f166])).
% 0.14/0.46 fof(f168,plain,(
% 0.14/0.46 ~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f167])).
% 0.14/0.46 fof(f173,plain,(
% 0.14/0.46 ~sk_c6=sk_c6|~inverse(sk_c2)=sk_c5|~sQ10_spl|~sQ7_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f84,f101])).
% 0.14/0.46 fof(f182,definition,(
% 0.14/0.46 sQ19_spl <=> (sk_c6=sk_c6)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f184,plain,(
% 0.14/0.46 ~sk_c6=sk_c6|sQ19_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f182])).
% 0.14/0.46 fof(f185,plain,(
% 0.14/0.46 ~sQ19_spl|~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f173,f182,f90,f100,f83])).
% 0.14/0.46 fof(f190,plain,(
% 0.14/0.46 $false|sQ19_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f184])).
% 0.14/0.46 fof(f191,plain,(
% 0.14/0.46 sQ19_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f190])).
% 0.14/0.46 fof(f193,plain,(
% 0.14/0.46 multiply(sk_c4,sk_c3)=identity|~sQ3_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f62,f26])).
% 0.14/0.46 fof(f195,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f26,f27])).
% 0.14/0.46 fof(f196,plain,(
% 0.14/0.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f25,f195])).
% 0.14/0.46 fof(f213,plain,(
% 0.14/0.46 ~identity=sk_c6|~inverse(inverse(sk_c5))=sk_c5|~sQ10_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f26,f101])).
% 0.14/0.46 fof(f218,definition,(
% 0.14/0.46 sQ21_spl <=> (identity=sk_c6)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f220,plain,(
% 0.14/0.46 ~identity=sk_c6|sQ21_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f218])).
% 0.14/0.46 fof(f221,definition,(
% 0.14/0.46 sQ22_spl <=> (inverse(inverse(sk_c5))=sk_c5)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f223,plain,(
% 0.14/0.46 ~inverse(inverse(sk_c5))=sk_c5|sQ22_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f221])).
% 0.14/0.46 fof(f224,plain,(
% 0.14/0.46 ~sQ21_spl|~sQ22_spl|~sQ10_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f213,f218,f221,f100])).
% 0.14/0.46 fof(f252,plain,(
% 0.14/0.46 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ4_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f66,f196])).
% 0.14/0.46 fof(f253,plain,(
% 0.14/0.46 sk_c3=multiply(inverse(sk_c4),identity)|~sQ3_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f193,f196])).
% 0.14/0.46 fof(f256,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f196,f196])).
% 0.14/0.46 fof(f257,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f26,f196])).
% 0.14/0.46 fof(f261,plain,(
% 0.14/0.46 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ5_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f70,f196])).
% 0.14/0.46 fof(f263,plain,(
% 0.14/0.46 sk_c4=multiply(inverse(sk_c3),sk_c6)|~sQ2_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f58,f196])).
% 0.14/0.46 fof(f266,plain,(
% 0.14/0.46 sk_c4=multiply(sk_c4,sk_c6)|~sQ3_spl|~sQ2_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f62,f263])).
% 0.14/0.46 fof(f280,plain,(
% 0.14/0.46 sk_c6=multiply(inverse(sk_c4),sk_c4)|~sQ3_spl|~sQ2_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f266,f196])).
% 0.14/0.46 fof(f283,plain,(
% 0.14/0.46 sk_c6=identity|~sQ3_spl|~sQ2_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f26,f280])).
% 0.14/0.46 fof(f284,plain,(
% 0.14/0.46 $false|sQ21_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f283,f220])).
% 0.14/0.46 fof(f285,plain,(
% 0.14/0.46 sQ21_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f284])).
% 0.14/0.46 fof(f289,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c6,X0)=X0|~sQ3_spl|~sQ2_spl)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f283,f25])).
% 0.14/0.46 fof(f325,plain,(
% 0.14/0.46 sk_c5=sk_c3|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f326,f252])).
% 0.14/0.46 fof(f326,plain,(
% 0.14/0.46 sk_c3=multiply(inverse(sk_c4),sk_c6)|~sQ2_spl|~sQ3_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f283,f253])).
% 0.14/0.46 fof(f330,plain,(
% 0.14/0.46 multiply(sk_c5,sk_c6)=sk_c5|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f331,f51])).
% 0.14/0.46 fof(f331,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,X0)|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f289,f109])).
% 0.14/0.46 fof(f340,plain,(
% 0.14/0.46 sk_c5=sk_c7|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f330,f54])).
% 0.14/0.46 fof(f344,plain,(
% 0.14/0.46 ~inverse(sk_c1)=sk_c5|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl|sQ6_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f340,f78])).
% 0.14/0.46 fof(f346,plain,(
% 0.14/0.46 sk_c3=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f325,f340])).
% 0.14/0.46 fof(f359,plain,(
% 0.14/0.46 ~inverse(sk_c1)=sk_c3|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl|sQ6_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f325,f344])).
% 0.14/0.46 fof(f375,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(inverse(inverse(X0)),sk_c6)|~sQ3_spl|~sQ2_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f283,f257])).
% 0.14/0.47 fof(f380,plain,(
% 0.14/0.47 sk_c3=multiply(inverse(sk_c1),sk_c6)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f346,f261])).
% 0.14/0.47 fof(f427,definition,(
% 0.14/0.47 sQ34_spl <=> (inverse(inverse(sk_c3))=sk_c3)),
% 0.14/0.47 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/0.47 fof(f429,plain,(
% 0.14/0.47 ~inverse(inverse(sk_c3))=sk_c3|sQ34_spl),
% 0.14/0.47 inference(component_clause,[status(thm)],[f427])).
% 0.14/0.47 fof(f553,plain,(
% 0.14/0.47 ![X0]: (X0=multiply(X0,sk_c6)|~sQ3_spl|~sQ2_spl)),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f256,f375])).
% 0.14/0.47 fof(f571,plain,(
% 0.14/0.47 sk_c3=inverse(sk_c1)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f553,f380])).
% 0.14/0.47 fof(f585,plain,(
% 0.14/0.47 $false|sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f571,f359])).
% 0.14/0.47 fof(f586,plain,(
% 0.14/0.47 sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f585])).
% 0.14/0.47 fof(f588,plain,(
% 0.14/0.47 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f256,f257])).
% 0.14/0.47 fof(f591,plain,(
% 0.14/0.47 ~inverse(sk_c1)=sk_c7|~sQ5_spl|~sQ9_spl),
% 0.14/0.47 inference(resolution,[status(thm)],[f70,f98])).
% 0.14/0.47 fof(f595,plain,(
% 0.14/0.47 ~sQ6_spl|~sQ5_spl|~sQ9_spl),
% 0.14/0.47 inference(split_clause,[status(thm)],[f591,f76,f69,f97])).
% 0.14/0.47 fof(f640,plain,(
% 0.14/0.47 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f256,f588])).
% 0.14/0.47 fof(f646,plain,(
% 0.14/0.47 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f588,f640])).
% 0.14/0.47 fof(f668,plain,(
% 0.14/0.47 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ5_spl),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f70,f196])).
% 0.14/0.47 fof(f670,plain,(
% 0.14/0.47 sk_c7=multiply(sk_c7,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f77,f668])).
% 0.14/0.47 fof(f671,plain,(
% 0.14/0.47 sk_c7=sk_c5|~sQ0_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f51,f670])).
% 0.14/0.47 fof(f673,plain,(
% 0.14/0.47 multiply(sk_c5,sk_c6)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f671,f51])).
% 0.14/0.47 fof(f680,plain,(
% 0.14/0.47 ~sk_c5=sk_c5|sQ22_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f646,f223])).
% 0.14/0.47 fof(f681,plain,(
% 0.14/0.47 $false|sQ22_spl),
% 0.14/0.47 inference(trivial_equality_resolution,[status(thm)],[f680])).
% 0.14/0.47 fof(f682,plain,(
% 0.14/0.47 sQ22_spl),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f681])).
% 0.14/0.47 fof(f695,plain,(
% 0.14/0.47 ~sk_c3=sk_c3|sQ34_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f646,f429])).
% 0.14/0.47 fof(f696,plain,(
% 0.14/0.47 $false|sQ34_spl),
% 0.14/0.47 inference(trivial_equality_resolution,[status(thm)],[f695])).
% 0.14/0.47 fof(f697,plain,(
% 0.14/0.47 sQ34_spl),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f696])).
% 0.14/0.47 fof(f707,plain,(
% 0.14/0.47 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f646,f26])).
% 0.14/0.47 fof(f714,plain,(
% 0.14/0.47 ~multiply(sk_c5,sk_c6)=sk_c5|~sQ0_spl|~sQ6_spl|~sQ5_spl|sQ1_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f671,f55])).
% 0.14/0.47 fof(f719,plain,(
% 0.14/0.47 sk_c5=multiply(inverse(sk_c2),sk_c6)|~sQ7_spl),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f84,f196])).
% 0.14/0.47 fof(f721,plain,(
% 0.14/0.47 sk_c5=multiply(sk_c5,sk_c6)|~sQ8_spl|~sQ7_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f91,f719])).
% 0.14/0.47 fof(f722,plain,(
% 0.14/0.47 $false|~sQ0_spl|~sQ6_spl|~sQ5_spl|sQ1_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f721,f714])).
% 0.14/0.47 fof(f723,plain,(
% 0.14/0.47 ~sQ0_spl|~sQ6_spl|~sQ5_spl|sQ1_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f722])).
% 0.14/0.47 fof(f741,plain,(
% 0.14/0.47 sk_c6=multiply(inverse(sk_c5),sk_c5)|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f673,f196])).
% 0.14/0.47 fof(f743,plain,(
% 0.14/0.47 sk_c6=identity|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f26,f741])).
% 0.14/0.47 fof(f744,plain,(
% 0.14/0.47 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ0_spl)),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f743,f26])).
% 0.14/0.47 fof(f766,plain,(
% 0.14/0.47 ![X0]: (multiply(X0,inverse(X0))=sk_c6|~sQ6_spl|~sQ5_spl|~sQ0_spl)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f743,f707])).
% 0.14/0.47 fof(f815,plain,(
% 0.14/0.47 ![X0]: (~sk_c6=sk_c6|~multiply(inverse(X0),sk_c5)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ11_spl)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f766,f107])).
% 0.14/0.47 fof(f816,plain,(
% 0.14/0.47 ![X0]: (~multiply(inverse(X0),sk_c5)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ11_spl)),
% 0.14/0.47 inference(trivial_equality_resolution,[status(thm)],[f815])).
% 0.14/0.47 fof(f817,plain,(
% 0.14/0.47 $false|~sQ11_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.47 inference(resolution,[status(thm)],[f816,f744])).
% 0.14/0.47 fof(f823,plain,(
% 0.14/0.47 ~sQ11_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f817])).
% 0.14/0.47 fof(f828,plain,(
% 0.14/0.47 inverse(sk_c4)=sk_c3|~sQ3_spl),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f62,f646])).
% 0.14/0.47 fof(f866,plain,(
% 0.14/0.47 multiply(sk_c4,sk_c3)=sk_c6|~sQ2_spl|~sQ3_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f283,f193])).
% 0.14/0.47 fof(f887,plain,(
% 0.14/0.47 sk_c5=sk_c7|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f553,f54])).
% 0.14/0.47 fof(f888,plain,(
% 0.14/0.47 sk_c3=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f325,f887])).
% 0.14/0.47 fof(f896,plain,(
% 0.14/0.47 ![X0]: (~multiply(X0,sk_c3)=sk_c6|~inverse(X0)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f346,f98])).
% 0.14/0.47 fof(f897,plain,(
% 0.14/0.47 ![X0]: (~multiply(X0,sk_c3)=sk_c6|~inverse(X0)=sk_c3|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f346,f896])).
% 0.14/0.47 fof(f898,plain,(
% 0.14/0.47 ~inverse(sk_c4)=sk_c3|~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.47 inference(resolution,[status(thm)],[f897,f866])).
% 0.14/0.47 fof(f904,plain,(
% 0.14/0.47 ~sk_c3=sk_c3|~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f828,f898])).
% 0.14/0.47 fof(f905,plain,(
% 0.14/0.47 $false|~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.47 inference(trivial_equality_resolution,[status(thm)],[f904])).
% 0.14/0.47 fof(f906,plain,(
% 0.14/0.47 ~sQ4_spl|~sQ0_spl|~sQ1_spl|~sQ9_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f905])).
% 0.14/0.47 fof(f934,plain,(
% 0.14/0.47 ~sk_c7=sk_c5|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f553,f52])).
% 0.14/0.48 fof(f935,plain,(
% 0.14/0.48 ~sk_c7=sk_c3|~sQ4_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f325,f934])).
% 0.14/0.48 fof(f938,plain,(
% 0.14/0.48 ~sk_c3=sk_c3|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f888,f935])).
% 0.14/0.48 fof(f939,plain,(
% 0.14/0.48 $false|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f938])).
% 0.14/0.48 fof(f940,plain,(
% 0.14/0.48 ~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f939])).
% 0.14/0.48 fof(f941,plain,(
% 0.14/0.48 $false),
% 0.14/0.48 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f73,f74,f75,f79,f80,f81,f82,f86,f87,f88,f93,f94,f95,f106,f164,f168,f185,f191,f224,f285,f586,f595,f682,f697,f723,f823,f906,f940])).
% 0.14/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.49 % Elapsed time: 0.114199 seconds
% 0.14/0.49 % CPU time: 0.550181 seconds
% 0.14/0.49 % Total memory used: 109.417 MB
% 0.14/0.49 % Net memory used: 108.997 MB
%------------------------------------------------------------------------------