%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP348-1 : 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 : n010.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 12:36:29 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP348-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.93 % Computer : n010.cluster.edu
% 0.08/0.93 % Model : x86_64 x86_64
% 0.08/0.93 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.93 % Memory : 8046.5625MB
% 0.08/0.93 % OS : Linux 6.8.0-71-generic
% 0.08/0.93 % CPULimit : 300
% 0.08/0.93 % WCLimit : 300
% 0.08/0.93 % DateTime : Sun Sep 20 20:10:13 UTC 2026
% 0.08/0.93 % CPUTime :
% 0.08/0.94 % Drodi V4.1.1
% 0.08/0.97 % Refutation found
% 0.08/0.97 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.97 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.97 fof(f1,axiom,(
% 0.08/0.97 (![X]: (multiply(identity,X) = X ))),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f2,axiom,(
% 0.08/0.97 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f3,axiom,(
% 0.08/0.97 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f4,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c5,sk_c6) = sk_c4| inverse(sk_c4) = sk_c5 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f5,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c5,sk_c6) = sk_c4| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f6,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c5,sk_c6) = sk_c4| inverse(sk_c3) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f7,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c5,sk_c6) = sk_c4| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f8,negated_conjecture,(
% 0.08/0.97 ( inverse(sk_c1) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f9,negated_conjecture,(
% 0.08/0.97 ( inverse(sk_c1) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f10,negated_conjecture,(
% 0.08/0.97 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f11,negated_conjecture,(
% 0.08/0.97 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f12,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c1,sk_c5) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f13,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c1,sk_c5) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f14,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c1,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f15,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c1,sk_c5) = sk_c6| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f16,negated_conjecture,(
% 0.08/0.97 ( inverse(sk_c2) = sk_c5| inverse(sk_c4) = sk_c5 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f17,negated_conjecture,(
% 0.08/0.97 ( inverse(sk_c2) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f18,negated_conjecture,(
% 0.08/0.97 ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f19,negated_conjecture,(
% 0.08/0.97 ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f20,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c2,sk_c4) = sk_c5| inverse(sk_c4) = sk_c5 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f21,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c2,sk_c4) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f22,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c2,sk_c4) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f23,negated_conjecture,(
% 0.08/0.97 ( multiply(sk_c2,sk_c4) = sk_c5| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f24,negated_conjecture,(
% 0.08/0.97 (![X2,X3,X1]: (( multiply(sk_c5,sk_c6) != sk_c4| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6| inverse(X3) != sk_c5| multiply(X3,sk_c4) != sk_c5| inverse(sk_c4) != sk_c5| multiply(sk_c4,sk_c5) != sk_c6| inverse(X1) != sk_c6| multiply(X1,sk_c5) != sk_c6 ) ))),
% 0.08/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.97 fof(f25,plain,(
% 0.08/0.97 ![X0]: (multiply(identity,X0)=X0)),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.97 fof(f26,plain,(
% 0.08/0.97 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.97 fof(f27,plain,(
% 0.08/0.97 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.97 fof(f28,plain,(
% 0.08/0.97 multiply(sk_c5,sk_c6)=sk_c4|inverse(sk_c4)=sk_c5),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.97 fof(f29,plain,(
% 0.08/0.97 multiply(sk_c5,sk_c6)=sk_c4|multiply(sk_c4,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.97 fof(f30,plain,(
% 0.08/0.97 multiply(sk_c5,sk_c6)=sk_c4|inverse(sk_c3)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.97 fof(f31,plain,(
% 0.08/0.97 multiply(sk_c5,sk_c6)=sk_c4|multiply(sk_c3,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.97 fof(f32,plain,(
% 0.08/0.97 inverse(sk_c1)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.97 fof(f33,plain,(
% 0.08/0.97 inverse(sk_c1)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.97 fof(f34,plain,(
% 0.08/0.97 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.97 fof(f35,plain,(
% 0.08/0.97 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.97 fof(f36,plain,(
% 0.08/0.97 multiply(sk_c1,sk_c5)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/0.97 fof(f37,plain,(
% 0.08/0.97 multiply(sk_c1,sk_c5)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.97 fof(f38,plain,(
% 0.08/0.97 multiply(sk_c1,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.97 fof(f39,plain,(
% 0.08/0.97 multiply(sk_c1,sk_c5)=sk_c6|multiply(sk_c3,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.97 fof(f40,plain,(
% 0.08/0.97 inverse(sk_c2)=sk_c5|inverse(sk_c4)=sk_c5),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.97 fof(f41,plain,(
% 0.08/0.97 inverse(sk_c2)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.97 fof(f42,plain,(
% 0.08/0.97 inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/0.97 fof(f43,plain,(
% 0.08/0.97 inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/0.97 fof(f44,plain,(
% 0.08/0.97 multiply(sk_c2,sk_c4)=sk_c5|inverse(sk_c4)=sk_c5),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f20])).
% 0.08/0.97 fof(f45,plain,(
% 0.08/0.97 multiply(sk_c2,sk_c4)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.97 fof(f46,plain,(
% 0.08/0.97 multiply(sk_c2,sk_c4)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/0.97 fof(f47,plain,(
% 0.08/0.97 multiply(sk_c2,sk_c4)=sk_c5|multiply(sk_c3,sk_c5)=sk_c6),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.97 fof(f48,plain,(
% 0.08/0.97 ![X1]: (((((![X3]: (((![X2]: ((~multiply(sk_c5,sk_c6)=sk_c4|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6))|~inverse(X3)=sk_c5)|~multiply(X3,sk_c4)=sk_c5))|~inverse(sk_c4)=sk_c5)|~multiply(sk_c4,sk_c5)=sk_c6)|~inverse(X1)=sk_c6)|~multiply(X1,sk_c5)=sk_c6)),
% 0.08/0.97 inference(miniscoping,[status(thm)],[f24])).
% 0.08/0.97 fof(f49,plain,(
% 0.08/0.97 ![X0,X1,X2]: (~multiply(sk_c5,sk_c6)=sk_c4|~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~inverse(X1)=sk_c5|~multiply(X1,sk_c4)=sk_c5|~inverse(sk_c4)=sk_c5|~multiply(sk_c4,sk_c5)=sk_c6|~inverse(X2)=sk_c6|~multiply(X2,sk_c5)=sk_c6)),
% 0.08/0.97 inference(cnf_transformation,[status(thm)],[f48])).
% 0.08/0.97 fof(f50,definition,(
% 0.08/0.97 sQ0_spl <=> (multiply(sk_c5,sk_c6)=sk_c4)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f51,plain,(
% 0.08/0.97 multiply(sk_c5,sk_c6)=sk_c4|~sQ0_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f50])).
% 0.08/0.97 fof(f52,plain,(
% 0.08/0.97 ~multiply(sk_c5,sk_c6)=sk_c4|sQ0_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f50])).
% 0.08/0.97 fof(f53,definition,(
% 0.08/0.97 sQ1_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f54,plain,(
% 0.08/0.97 inverse(sk_c4)=sk_c5|~sQ1_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f53])).
% 0.08/0.97 fof(f55,plain,(
% 0.08/0.97 ~inverse(sk_c4)=sk_c5|sQ1_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f53])).
% 0.08/0.97 fof(f56,plain,(
% 0.08/0.97 sQ0_spl|sQ1_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.08/0.97 fof(f57,definition,(
% 0.08/0.97 sQ2_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f58,plain,(
% 0.08/0.97 multiply(sk_c4,sk_c5)=sk_c6|~sQ2_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f57])).
% 0.08/0.97 fof(f59,plain,(
% 0.08/0.97 ~multiply(sk_c4,sk_c5)=sk_c6|sQ2_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f57])).
% 0.08/0.97 fof(f60,plain,(
% 0.08/0.97 sQ0_spl|sQ2_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.08/0.97 fof(f61,definition,(
% 0.08/0.97 sQ3_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f62,plain,(
% 0.08/0.97 inverse(sk_c3)=sk_c6|~sQ3_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f61])).
% 0.08/0.97 fof(f64,plain,(
% 0.08/0.97 sQ0_spl|sQ3_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.08/0.97 fof(f65,definition,(
% 0.08/0.97 sQ4_spl <=> (multiply(sk_c3,sk_c5)=sk_c6)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f66,plain,(
% 0.08/0.97 multiply(sk_c3,sk_c5)=sk_c6|~sQ4_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f65])).
% 0.08/0.97 fof(f68,plain,(
% 0.08/0.97 sQ0_spl|sQ4_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.08/0.97 fof(f69,definition,(
% 0.08/0.97 sQ5_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f70,plain,(
% 0.08/0.97 inverse(sk_c1)=sk_c6|~sQ5_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f69])).
% 0.08/0.97 fof(f72,plain,(
% 0.08/0.97 sQ5_spl|sQ1_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f32,f69,f53])).
% 0.08/0.97 fof(f73,plain,(
% 0.08/0.97 sQ5_spl|sQ2_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f33,f69,f57])).
% 0.08/0.97 fof(f74,plain,(
% 0.08/0.97 sQ5_spl|sQ3_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f34,f69,f61])).
% 0.08/0.97 fof(f75,plain,(
% 0.08/0.97 sQ5_spl|sQ4_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f35,f69,f65])).
% 0.08/0.97 fof(f76,definition,(
% 0.08/0.97 sQ6_spl <=> (multiply(sk_c1,sk_c5)=sk_c6)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f77,plain,(
% 0.08/0.97 multiply(sk_c1,sk_c5)=sk_c6|~sQ6_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f76])).
% 0.08/0.97 fof(f79,plain,(
% 0.08/0.97 sQ6_spl|sQ1_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f36,f76,f53])).
% 0.08/0.97 fof(f80,plain,(
% 0.08/0.97 sQ6_spl|sQ2_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f37,f76,f57])).
% 0.08/0.97 fof(f81,plain,(
% 0.08/0.97 sQ6_spl|sQ3_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f38,f76,f61])).
% 0.08/0.97 fof(f82,plain,(
% 0.08/0.97 sQ6_spl|sQ4_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f39,f76,f65])).
% 0.08/0.97 fof(f83,definition,(
% 0.08/0.97 sQ7_spl <=> (inverse(sk_c2)=sk_c5)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f84,plain,(
% 0.08/0.97 inverse(sk_c2)=sk_c5|~sQ7_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f83])).
% 0.08/0.97 fof(f86,plain,(
% 0.08/0.97 sQ7_spl|sQ1_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f40,f83,f53])).
% 0.08/0.97 fof(f87,plain,(
% 0.08/0.97 sQ7_spl|sQ2_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f41,f83,f57])).
% 0.08/0.97 fof(f88,plain,(
% 0.08/0.97 sQ7_spl|sQ3_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f42,f83,f61])).
% 0.08/0.97 fof(f89,plain,(
% 0.08/0.97 sQ7_spl|sQ4_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f43,f83,f65])).
% 0.08/0.97 fof(f90,definition,(
% 0.08/0.97 sQ8_spl <=> (multiply(sk_c2,sk_c4)=sk_c5)),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f91,plain,(
% 0.08/0.97 multiply(sk_c2,sk_c4)=sk_c5|~sQ8_spl),
% 0.08/0.97 inference(component_clause,[status(thm)],[f90])).
% 0.08/0.97 fof(f93,plain,(
% 0.08/0.97 sQ8_spl|sQ1_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f44,f90,f53])).
% 0.08/0.97 fof(f94,plain,(
% 0.08/0.97 sQ8_spl|sQ2_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f45,f90,f57])).
% 0.08/0.97 fof(f95,plain,(
% 0.08/0.97 sQ8_spl|sQ3_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f46,f90,f61])).
% 0.08/0.97 fof(f96,plain,(
% 0.08/0.97 sQ8_spl|sQ4_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f47,f90,f65])).
% 0.08/0.97 fof(f97,definition,(
% 0.08/0.97 ![X0]: (sQ9_spl <=> (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6))),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f98,plain,(
% 0.08/0.97 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ9_spl)),
% 0.08/0.97 inference(component_clause,[status(thm)],[f97])).
% 0.08/0.97 fof(f100,definition,(
% 0.08/0.97 ![X1]: (sQ10_spl <=> (~inverse(X1)=sk_c5|~multiply(X1,sk_c4)=sk_c5))),
% 0.08/0.97 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.97 fof(f101,plain,(
% 0.08/0.97 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c4)=sk_c5|~sQ10_spl)),
% 0.08/0.97 inference(component_clause,[status(thm)],[f100])).
% 0.08/0.97 fof(f103,plain,(
% 0.08/0.97 ~sQ0_spl|sQ9_spl|sQ10_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(split_clause,[status(thm)],[f49,f50,f97,f100,f53,f57])).
% 0.08/0.97 fof(f104,plain,(
% 0.08/0.97 ~inverse(sk_c2)=sk_c5|~sQ10_spl|~sQ8_spl),
% 0.08/0.97 inference(resolution,[status(thm)],[f101,f91])).
% 0.08/0.97 fof(f106,plain,(
% 0.08/0.97 ~sk_c5=sk_c5|~sQ7_spl|~sQ10_spl|~sQ8_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f84,f104])).
% 0.08/0.97 fof(f107,plain,(
% 0.08/0.97 $false|~sQ7_spl|~sQ10_spl|~sQ8_spl),
% 0.08/0.97 inference(trivial_equality_resolution,[status(thm)],[f106])).
% 0.08/0.97 fof(f108,plain,(
% 0.08/0.97 ~sQ7_spl|~sQ10_spl|~sQ8_spl),
% 0.08/0.97 inference(contradiction_clause,[status(thm)],[f107])).
% 0.08/0.97 fof(f110,plain,(
% 0.08/0.97 ~inverse(sk_c1)=sk_c6|~sQ9_spl|~sQ6_spl),
% 0.08/0.97 inference(resolution,[status(thm)],[f98,f77])).
% 0.08/0.97 fof(f111,plain,(
% 0.08/0.97 ~inverse(sk_c3)=sk_c6|~sQ9_spl|~sQ4_spl),
% 0.08/0.97 inference(resolution,[status(thm)],[f98,f66])).
% 0.08/0.97 fof(f116,plain,(
% 0.08/0.97 ~sk_c6=sk_c6|~sQ5_spl|~sQ9_spl|~sQ6_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f70,f110])).
% 0.08/0.97 fof(f117,plain,(
% 0.08/0.97 $false|~sQ5_spl|~sQ9_spl|~sQ6_spl),
% 0.08/0.97 inference(trivial_equality_resolution,[status(thm)],[f116])).
% 0.08/0.97 fof(f118,plain,(
% 0.08/0.97 ~sQ5_spl|~sQ9_spl|~sQ6_spl),
% 0.08/0.97 inference(contradiction_clause,[status(thm)],[f117])).
% 0.08/0.97 fof(f119,plain,(
% 0.08/0.97 ~sk_c6=sk_c6|~sQ3_spl|~sQ9_spl|~sQ4_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f62,f111])).
% 0.08/0.97 fof(f120,plain,(
% 0.08/0.97 $false|~sQ3_spl|~sQ9_spl|~sQ4_spl),
% 0.08/0.97 inference(trivial_equality_resolution,[status(thm)],[f119])).
% 0.08/0.97 fof(f121,plain,(
% 0.08/0.97 ~sQ3_spl|~sQ9_spl|~sQ4_spl),
% 0.08/0.97 inference(contradiction_clause,[status(thm)],[f120])).
% 0.08/0.97 fof(f134,plain,(
% 0.08/0.97 multiply(sk_c6,sk_c1)=identity|~sQ5_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f70,f26])).
% 0.08/0.97 fof(f135,plain,(
% 0.08/0.97 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f26,f27])).
% 0.08/0.97 fof(f136,plain,(
% 0.08/0.97 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f25,f135])).
% 0.08/0.97 fof(f140,plain,(
% 0.08/0.97 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c1,X0))|~sQ5_spl)),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f134,f27])).
% 0.08/0.97 fof(f141,plain,(
% 0.08/0.97 ![X0]: (X0=multiply(sk_c6,multiply(sk_c1,X0))|~sQ5_spl)),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f25,f140])).
% 0.08/0.97 fof(f147,plain,(
% 0.08/0.97 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f25,f136])).
% 0.08/0.97 fof(f151,plain,(
% 0.08/0.97 sk_c6=multiply(inverse(sk_c5),sk_c4)|~sQ0_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f51,f136])).
% 0.08/0.97 fof(f152,plain,(
% 0.08/0.97 sk_c5=multiply(inverse(sk_c1),sk_c6)|~sQ6_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f77,f136])).
% 0.08/0.97 fof(f153,plain,(
% 0.08/0.97 sk_c4=multiply(inverse(sk_c2),sk_c5)|~sQ8_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f91,f136])).
% 0.08/0.97 fof(f156,plain,(
% 0.08/0.97 sk_c5=multiply(sk_c6,sk_c6)|~sQ5_spl|~sQ6_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f70,f152])).
% 0.08/0.97 fof(f157,plain,(
% 0.08/0.97 sk_c4=multiply(sk_c5,sk_c5)|~sQ7_spl|~sQ8_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f84,f153])).
% 0.08/0.97 fof(f163,plain,(
% 0.08/0.97 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f147,f136])).
% 0.08/0.97 fof(f166,plain,(
% 0.08/0.97 sk_c6=multiply(inverse(sk_c6),sk_c5)|~sQ5_spl|~sQ6_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f156,f136])).
% 0.08/0.97 fof(f168,plain,(
% 0.08/0.97 sk_c5=multiply(inverse(sk_c5),sk_c4)|~sQ7_spl|~sQ8_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f157,f136])).
% 0.08/0.97 fof(f239,plain,(
% 0.08/0.97 inverse(identity)=identity),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f26,f163])).
% 0.08/0.97 fof(f254,plain,(
% 0.08/0.97 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f276,f166])).
% 0.08/0.97 fof(f270,plain,(
% 0.08/0.97 multiply(sk_c6,sk_c6)=sk_c4|~sQ7_spl|~sQ8_spl|~sQ0_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f276,f51])).
% 0.08/0.97 fof(f272,plain,(
% 0.08/0.97 ~inverse(sk_c4)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f276,f55])).
% 0.08/0.97 fof(f273,plain,(
% 0.08/0.97 multiply(sk_c1,sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ6_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f276,f77])).
% 0.08/0.97 fof(f276,plain,(
% 0.08/0.97 sk_c5=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f151,f168])).
% 0.08/0.97 fof(f277,plain,(
% 0.08/0.97 sk_c6=identity|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f26,f254])).
% 0.08/0.97 fof(f279,plain,(
% 0.08/0.97 inverse(identity)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f277,f239])).
% 0.08/0.97 fof(f284,plain,(
% 0.08/0.97 ![X0]: (multiply(sk_c6,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl)),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f277,f25])).
% 0.08/0.97 fof(f285,plain,(
% 0.08/0.97 inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f277,f279])).
% 0.08/0.97 fof(f291,plain,(
% 0.08/0.97 sk_c6=multiply(sk_c6,sk_c6)|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ6_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f273,f141])).
% 0.08/0.97 fof(f294,plain,(
% 0.08/0.97 sk_c6=sk_c4|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ6_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f270,f291])).
% 0.08/0.97 fof(f299,plain,(
% 0.08/0.97 inverse(sk_c6)=sk_c4|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f294,f285])).
% 0.08/0.97 fof(f300,plain,(
% 0.08/0.97 ~inverse(sk_c4)=sk_c4|~sQ5_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f294,f272])).
% 0.08/0.97 fof(f303,plain,(
% 0.08/0.97 sk_c5=sk_c4|~sQ5_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f294,f276])).
% 0.08/0.97 fof(f309,plain,(
% 0.08/0.97 inverse(sk_c4)=sk_c4|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f294,f299])).
% 0.08/0.97 fof(f310,plain,(
% 0.08/0.97 ![X0]: (multiply(sk_c4,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl)),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f294,f284])).
% 0.08/0.97 fof(f315,plain,(
% 0.08/0.97 ~sk_c4=sk_c4|~sQ5_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f309,f300])).
% 0.08/0.97 fof(f316,plain,(
% 0.08/0.97 $false|~sQ5_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.08/0.97 inference(trivial_equality_resolution,[status(thm)],[f315])).
% 0.08/0.97 fof(f317,plain,(
% 0.08/0.97 ~sQ5_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ1_spl),
% 0.08/0.97 inference(contradiction_clause,[status(thm)],[f316])).
% 0.08/0.97 fof(f319,plain,(
% 0.08/0.97 ~sk_c5=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl|sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f310,f59])).
% 0.08/0.97 fof(f320,plain,(
% 0.08/0.97 ~sk_c4=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl|sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f303,f319])).
% 0.08/0.97 fof(f321,plain,(
% 0.08/0.97 ~sk_c4=sk_c4|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl|sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f294,f320])).
% 0.08/0.97 fof(f322,plain,(
% 0.08/0.97 $false|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl|sQ2_spl),
% 0.08/0.97 inference(trivial_equality_resolution,[status(thm)],[f321])).
% 0.08/0.97 fof(f323,plain,(
% 0.08/0.97 ~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ5_spl|~sQ6_spl|sQ2_spl),
% 0.08/0.97 inference(contradiction_clause,[status(thm)],[f322])).
% 0.08/0.97 fof(f332,plain,(
% 0.08/0.97 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ2_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f58,f136])).
% 0.08/0.97 fof(f334,plain,(
% 0.08/0.97 sk_c5=multiply(sk_c5,sk_c6)|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f54,f332])).
% 0.08/0.97 fof(f341,plain,(
% 0.08/0.97 multiply(sk_c5,sk_c4)=identity|~sQ1_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f54,f26])).
% 0.08/0.97 fof(f349,plain,(
% 0.08/0.97 sk_c5=multiply(inverse(sk_c3),sk_c6)|~sQ4_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f66,f136])).
% 0.08/0.97 fof(f351,plain,(
% 0.08/0.97 sk_c5=multiply(sk_c6,sk_c6)|~sQ3_spl|~sQ4_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f62,f349])).
% 0.08/0.97 fof(f357,plain,(
% 0.08/0.97 ~sk_c5=sk_c4|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f334,f52])).
% 0.08/0.97 fof(f358,plain,(
% 0.08/0.97 sk_c6=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f334,f136])).
% 0.08/0.97 fof(f360,plain,(
% 0.08/0.97 sk_c6=identity|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f26,f358])).
% 0.08/0.97 fof(f362,plain,(
% 0.08/0.97 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ1_spl|~sQ2_spl)),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f360,f26])).
% 0.08/0.97 fof(f364,plain,(
% 0.08/0.97 ![X0]: (multiply(sk_c6,X0)=X0|~sQ1_spl|~sQ2_spl)),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f360,f25])).
% 0.08/0.97 fof(f365,plain,(
% 0.08/0.97 inverse(identity)=sk_c6|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f360,f239])).
% 0.08/0.97 fof(f366,plain,(
% 0.08/0.97 inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f360,f365])).
% 0.08/0.97 fof(f398,plain,(
% 0.08/0.97 multiply(sk_c6,sk_c3)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.08/0.97 inference(paramodulation,[status(thm)],[f62,f362])).
% 0.08/0.97 fof(f404,plain,(
% 0.08/0.97 sk_c3=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f364,f398])).
% 0.08/0.97 fof(f406,plain,(
% 0.08/0.97 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ3_spl|~sQ1_spl|~sQ2_spl)),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f404,f362])).
% 0.08/0.97 fof(f407,plain,(
% 0.08/0.97 inverse(sk_c6)=sk_c3|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f404,f366])).
% 0.08/0.97 fof(f408,plain,(
% 0.08/0.97 ![X0]: (multiply(sk_c3,X0)=X0|~sQ3_spl|~sQ1_spl|~sQ2_spl)),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f404,f364])).
% 0.08/0.97 fof(f410,plain,(
% 0.08/0.97 inverse(sk_c3)=sk_c3|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f404,f407])).
% 0.08/0.97 fof(f411,plain,(
% 0.08/0.97 sk_c3=identity|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f404,f360])).
% 0.08/0.97 fof(f419,plain,(
% 0.08/0.97 multiply(sk_c5,sk_c4)=sk_c3|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f411,f341])).
% 0.08/0.97 fof(f425,plain,(
% 0.08/0.97 sk_c5=multiply(sk_c3,sk_c6)|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f404,f351])).
% 0.08/0.97 fof(f426,plain,(
% 0.08/0.97 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f408,f425])).
% 0.08/0.97 fof(f427,plain,(
% 0.08/0.97 multiply(sk_c3,sk_c4)=sk_c3|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f431,f419])).
% 0.08/0.97 fof(f430,plain,(
% 0.08/0.97 ~sk_c3=sk_c4|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.08/0.97 inference(backward_demodulation,[status(thm)],[f431,f357])).
% 0.08/0.97 fof(f431,plain,(
% 0.08/0.97 sk_c5=sk_c3|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f404,f426])).
% 0.08/0.97 fof(f432,plain,(
% 0.08/0.97 sk_c4=sk_c3|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f408,f427])).
% 0.08/0.97 fof(f433,plain,(
% 0.08/0.97 ~sk_c3=sk_c3|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f432,f430])).
% 0.08/0.97 fof(f434,plain,(
% 0.08/0.97 $false|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.08/0.97 inference(trivial_equality_resolution,[status(thm)],[f433])).
% 0.08/0.97 fof(f435,plain,(
% 0.08/0.97 ~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.08/0.97 inference(contradiction_clause,[status(thm)],[f434])).
% 0.08/0.97 fof(f476,plain,(
% 0.08/0.97 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c4)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ10_spl)),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f431,f101])).
% 0.08/0.97 fof(f477,plain,(
% 0.08/0.97 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ10_spl)),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f432,f476])).
% 0.08/0.97 fof(f478,plain,(
% 0.08/0.97 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c3|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ10_spl)),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f431,f477])).
% 0.08/0.97 fof(f502,plain,(
% 0.08/0.97 ~inverse(inverse(sk_c3))=sk_c3|~sQ4_spl|~sQ10_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(resolution,[status(thm)],[f478,f406])).
% 0.08/0.97 fof(f507,plain,(
% 0.08/0.97 ~inverse(sk_c3)=sk_c3|~sQ4_spl|~sQ10_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f410,f502])).
% 0.08/0.97 fof(f508,plain,(
% 0.08/0.97 ~sk_c3=sk_c3|~sQ4_spl|~sQ10_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(forward_demodulation,[status(thm)],[f410,f507])).
% 0.08/0.97 fof(f509,plain,(
% 0.08/0.97 $false|~sQ4_spl|~sQ10_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(trivial_equality_resolution,[status(thm)],[f508])).
% 0.08/0.97 fof(f510,plain,(
% 0.08/0.97 ~sQ4_spl|~sQ10_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.97 inference(contradiction_clause,[status(thm)],[f509])).
% 0.08/0.97 fof(f511,plain,(
% 0.08/0.97 $false),
% 0.08/0.97 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f73,f74,f75,f79,f80,f81,f82,f86,f87,f88,f89,f93,f94,f95,f96,f103,f108,f118,f121,f317,f323,f435,f510])).
% 0.08/0.97 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.99 % Elapsed time: 0.059875 seconds
% 0.08/0.99 % CPU time: 0.183734 seconds
% 0.08/0.99 % Total memory used: 103.388 MB
% 0.08/0.99 % Net memory used: 103.093 MB
%------------------------------------------------------------------------------