%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP310-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:25 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP310-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:09:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 multiply(sk_c8,sk_c7) = sk_c6 ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c6,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c6,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c6,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c6,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c6,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f16,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f20,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f23,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f25,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f27,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f28,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f29,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f30,negated_conjecture,(
% 0.14/0.40 (![X3,X4,X1,X2,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| inverse(sk_c8) != sk_c6| multiply(sk_c6,sk_c7) != sk_c8| multiply(sk_c8,X3) != sk_c7| multiply(X4,sk_c8) != X3| inverse(X4) != sk_c8| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f31,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f33,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f34,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f35,plain,(
% 0.14/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f36,plain,(
% 0.14/0.40 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f44,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f45,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f46,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f47,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f48,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.40 fof(f49,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f50,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.40 fof(f52,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.40 fof(f54,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f55,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.40 fof(f59,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 ![X5]: ((![X2]: (((![X1]: (((![X4]: ((![X3]: ((((~multiply(sk_c8,sk_c7)=sk_c6|~inverse(sk_c8)=sk_c6)|~multiply(sk_c6,sk_c7)=sk_c8)|~multiply(sk_c8,X3)=sk_c7)|~multiply(X4,sk_c8)=X3))|~inverse(X4)=sk_c8))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f30])).
% 0.14/0.40 fof(f61,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~inverse(sk_c8)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c8|~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.40 fof(f62,definition,(
% 0.14/0.40 sQ0_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f63,plain,(
% 0.14/0.40 inverse(sk_c8)=sk_c6|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f62])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 ~inverse(sk_c8)=sk_c6|sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f62])).
% 0.14/0.40 fof(f65,definition,(
% 0.14/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c7|~sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f65])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f35,f62,f65])).
% 0.14/0.40 fof(f69,definition,(
% 0.14/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f70,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c8|~sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f69])).
% 0.14/0.40 fof(f72,plain,(
% 0.14/0.40 sQ0_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f36,f62,f69])).
% 0.14/0.40 fof(f73,definition,(
% 0.14/0.40 sQ3_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c5)=sk_c7|~sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.40 fof(f76,plain,(
% 0.14/0.40 sQ0_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f37,f62,f73])).
% 0.14/0.40 fof(f77,definition,(
% 0.14/0.40 sQ4_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f78,plain,(
% 0.14/0.40 multiply(sk_c4,sk_c8)=sk_c5|~sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.40 fof(f80,plain,(
% 0.14/0.40 sQ0_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f38,f62,f77])).
% 0.14/0.40 fof(f81,definition,(
% 0.14/0.40 sQ5_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f82,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c8|~sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.40 fof(f84,plain,(
% 0.14/0.40 sQ0_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f39,f62,f81])).
% 0.14/0.40 fof(f85,definition,(
% 0.14/0.40 sQ6_spl <=> (multiply(sk_c6,sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f86,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c8|~sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.40 fof(f87,plain,(
% 0.14/0.40 ~multiply(sk_c6,sk_c7)=sk_c8|sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.40 fof(f88,plain,(
% 0.14/0.40 sQ6_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f40,f85,f65])).
% 0.14/0.40 fof(f89,plain,(
% 0.14/0.40 sQ6_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f41,f85,f69])).
% 0.14/0.40 fof(f90,plain,(
% 0.14/0.40 sQ6_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f42,f85,f73])).
% 0.14/0.40 fof(f91,plain,(
% 0.14/0.40 sQ6_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f43,f85,f77])).
% 0.14/0.40 fof(f92,plain,(
% 0.14/0.40 sQ6_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f44,f85,f81])).
% 0.14/0.40 fof(f93,definition,(
% 0.14/0.40 sQ7_spl <=> (multiply(sk_c8,sk_c2)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f94,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=sk_c7|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.40 fof(f95,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c2)=sk_c7|sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f45,f93,f65])).
% 0.14/0.40 fof(f97,plain,(
% 0.14/0.40 sQ7_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f46,f93,f69])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 sQ7_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f47,f93,f73])).
% 0.14/0.40 fof(f99,plain,(
% 0.14/0.40 sQ7_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f48,f93,f77])).
% 0.14/0.40 fof(f100,plain,(
% 0.14/0.40 sQ7_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f49,f93,f81])).
% 0.14/0.40 fof(f101,definition,(
% 0.14/0.40 sQ8_spl <=> (multiply(sk_c1,sk_c8)=sk_c2)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f102,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|~sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.40 fof(f104,plain,(
% 0.14/0.40 sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f50,f101,f65])).
% 0.14/0.40 fof(f105,plain,(
% 0.14/0.40 sQ8_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f51,f101,f69])).
% 0.14/0.40 fof(f106,plain,(
% 0.14/0.40 sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f52,f101,f73])).
% 0.14/0.40 fof(f107,plain,(
% 0.14/0.40 sQ8_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f53,f101,f77])).
% 0.14/0.40 fof(f108,plain,(
% 0.14/0.40 sQ8_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f54,f101,f81])).
% 0.14/0.40 fof(f109,definition,(
% 0.14/0.40 sQ9_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|~sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 sQ9_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f55,f109,f65])).
% 0.14/0.40 fof(f113,plain,(
% 0.14/0.40 sQ9_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f56,f109,f69])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 sQ9_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f57,f109,f73])).
% 0.14/0.40 fof(f115,plain,(
% 0.14/0.40 sQ9_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f58,f109,f77])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 sQ9_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f59,f109,f81])).
% 0.14/0.40 fof(f117,definition,(
% 0.14/0.40 sQ10_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f119,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|sQ10_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.40 fof(f120,definition,(
% 0.14/0.40 ![X0,X1]: (sQ11_spl <=> (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f121,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ11_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f120])).
% 0.14/0.40 fof(f123,definition,(
% 0.14/0.40 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f124,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f123])).
% 0.14/0.40 fof(f126,plain,(
% 0.14/0.40 ~sQ10_spl|~sQ0_spl|~sQ6_spl|sQ11_spl|sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f61,f117,f62,f85,f120,f123])).
% 0.14/0.40 fof(f127,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c8|~sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f124,f66])).
% 0.14/0.40 fof(f130,plain,(
% 0.14/0.40 ~sk_c2=sk_c7|~inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ8_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f102,f124])).
% 0.14/0.40 fof(f131,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f70,f127])).
% 0.14/0.40 fof(f132,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f131])).
% 0.14/0.40 fof(f133,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f132])).
% 0.14/0.40 fof(f134,plain,(
% 0.14/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f121])).
% 0.14/0.40 fof(f135,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|sQ10_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f34,f119])).
% 0.14/0.40 fof(f136,plain,(
% 0.14/0.40 $false|sQ10_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f135])).
% 0.14/0.40 fof(f137,plain,(
% 0.14/0.40 sQ10_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f136])).
% 0.14/0.40 fof(f159,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ11_spl|~sQ4_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f78,f134])).
% 0.14/0.40 fof(f160,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c2)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ8_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f102,f134])).
% 0.14/0.40 fof(f165,plain,(
% 0.14/0.40 ~sQ3_spl|~sQ5_spl|~sQ11_spl|~sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f159,f73,f81,f120,f77])).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 ~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f160,f93,f109,f120,f101])).
% 0.14/0.40 fof(f171,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f32,f33])).
% 0.14/0.40 fof(f172,plain,(
% 0.14/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f31,f171])).
% 0.14/0.40 fof(f187,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f31,f172])).
% 0.14/0.40 fof(f190,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f66,f172])).
% 0.14/0.40 fof(f191,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c4),sk_c5)|~sQ4_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f78,f172])).
% 0.14/0.40 fof(f192,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c1),sk_c2)|~sQ8_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f102,f172])).
% 0.14/0.40 fof(f200,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f70,f190])).
% 0.14/0.40 fof(f201,plain,(
% 0.14/0.40 sk_c8=sk_c6|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f34,f200])).
% 0.14/0.40 fof(f202,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c5)|~sQ5_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f82,f191])).
% 0.14/0.40 fof(f203,plain,(
% 0.14/0.40 sk_c8=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f74,f202])).
% 0.14/0.40 fof(f204,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c2)|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f110,f192])).
% 0.14/0.40 fof(f211,plain,(
% 0.14/0.40 ~multiply(sk_c6,sk_c2)=sk_c7|~sQ2_spl|~sQ1_spl|sQ7_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f201,f95])).
% 0.14/0.40 fof(f214,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c5)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f201,f74])).
% 0.14/0.40 fof(f217,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c6|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f201,f34])).
% 0.14/0.40 fof(f218,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f201,f82])).
% 0.14/0.40 fof(f220,plain,(
% 0.14/0.40 sk_c6=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f201,f203])).
% 0.14/0.40 fof(f233,plain,(
% 0.14/0.40 ~multiply(sk_c6,sk_c2)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f220,f211])).
% 0.14/0.40 fof(f238,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c5)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f220,f214])).
% 0.14/0.40 fof(f239,plain,(
% 0.14/0.40 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f238,f172])).
% 0.14/0.40 fof(f241,plain,(
% 0.14/0.40 sk_c5=identity|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f32,f239])).
% 0.14/0.40 fof(f243,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f241,f32])).
% 0.14/0.40 fof(f244,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f241,f31])).
% 0.14/0.40 fof(f247,plain,(
% 0.14/0.40 sk_c6=multiply(sk_c8,sk_c2)|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f201,f204])).
% 0.14/0.40 fof(f248,plain,(
% 0.14/0.40 sk_c6=multiply(sk_c6,sk_c2)|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f201,f247])).
% 0.14/0.40 fof(f249,plain,(
% 0.14/0.40 $false|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f248,f233])).
% 0.14/0.40 fof(f250,plain,(
% 0.14/0.40 ~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f249])).
% 0.14/0.40 fof(f259,plain,(
% 0.14/0.40 ~multiply(sk_c6,sk_c6)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f220,f87])).
% 0.14/0.40 fof(f260,plain,(
% 0.14/0.40 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f201,f259])).
% 0.14/0.40 fof(f284,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f220,f217])).
% 0.14/0.40 fof(f285,plain,(
% 0.14/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f284,f172])).
% 0.14/0.40 fof(f307,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f284,f260])).
% 0.14/0.40 fof(f308,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ6_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f307])).
% 0.14/0.40 fof(f309,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ6_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f308])).
% 0.14/0.40 fof(f310,definition,(
% 0.14/0.40 sQ14_spl <=> (sk_c2=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f312,plain,(
% 0.14/0.40 ~sk_c2=sk_c7|sQ14_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f310])).
% 0.14/0.40 fof(f313,plain,(
% 0.14/0.40 ~sQ14_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f130,f310,f109,f123,f101])).
% 0.14/0.40 fof(f314,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f31,f172])).
% 0.14/0.40 fof(f326,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c8)=identity|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f63,f32])).
% 0.14/0.40 fof(f331,plain,(
% 0.14/0.40 sk_c2=multiply(inverse(sk_c8),sk_c7)|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f94,f172])).
% 0.14/0.40 fof(f335,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f339,f86])).
% 0.14/0.40 fof(f339,plain,(
% 0.14/0.40 sk_c8=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f94,f204])).
% 0.14/0.40 fof(f357,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c8|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f339,f124])).
% 0.14/0.40 fof(f358,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f339,f357])).
% 0.14/0.40 fof(f363,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~inverse(identity)=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f31,f358])).
% 0.14/0.40 fof(f364,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~inverse(inverse(identity))=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f187,f358])).
% 0.14/0.40 fof(f378,definition,(
% 0.14/0.40 sQ18_spl <=> (sk_c7=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f380,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|sQ18_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f378])).
% 0.14/0.40 fof(f381,definition,(
% 0.14/0.40 sQ19_spl <=> (inverse(identity)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f384,plain,(
% 0.14/0.40 ~sQ18_spl|~sQ19_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f363,f378,f381,f93,f109,f101,f123])).
% 0.14/0.40 fof(f385,definition,(
% 0.14/0.40 sQ20_spl <=> (inverse(inverse(identity))=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f388,plain,(
% 0.14/0.40 ~sQ18_spl|~sQ20_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f364,f378,f385,f93,f109,f101,f123])).
% 0.14/0.40 fof(f396,plain,(
% 0.14/0.40 sk_c2=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f339,f331])).
% 0.14/0.40 fof(f397,plain,(
% 0.14/0.40 sk_c2=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f32,f396])).
% 0.14/0.40 fof(f398,plain,(
% 0.14/0.40 sk_c6=identity|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f32,f285])).
% 0.14/0.40 fof(f432,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(sk_c2),X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f397,f187])).
% 0.14/0.40 fof(f489,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(sk_c2),X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f397,f314])).
% 0.14/0.40 fof(f491,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c2,X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f489,f172])).
% 0.14/0.40 fof(f537,plain,(
% 0.14/0.40 $false|sQ18_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f380])).
% 0.14/0.40 fof(f538,plain,(
% 0.14/0.40 sQ18_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f537])).
% 0.14/0.40 fof(f549,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f491,f358])).
% 0.14/0.40 fof(f552,definition,(
% 0.14/0.40 sQ23_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f555,plain,(
% 0.14/0.40 ~sQ18_spl|~sQ23_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f549,f378,f552,f123,f109,f101,f93])).
% 0.14/0.40 fof(f572,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~inverse(inverse(sk_c2))=sk_c7|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f432,f358])).
% 0.14/0.40 fof(f575,definition,(
% 0.14/0.40 sQ24_spl <=> (inverse(inverse(sk_c2))=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f578,plain,(
% 0.14/0.40 ~sQ18_spl|~sQ24_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f572,f378,f575,f123,f109,f101,f93])).
% 0.14/0.40 fof(f580,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=identity|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f339,f326])).
% 0.14/0.40 fof(f581,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c2|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f397,f580])).
% 0.14/0.40 fof(f597,plain,(
% 0.14/0.40 sk_c2=sk_c7|~sQ0_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f581,f335])).
% 0.14/0.40 fof(f598,plain,(
% 0.14/0.40 $false|sQ14_spl|~sQ0_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f597,f312])).
% 0.14/0.40 fof(f599,plain,(
% 0.14/0.40 sQ14_spl|~sQ0_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f598])).
% 0.14/0.40 fof(f608,plain,(
% 0.14/0.40 sk_c6=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f241,f398])).
% 0.14/0.40 fof(f612,plain,(
% 0.14/0.40 sk_c8=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f608,f201])).
% 0.14/0.40 fof(f626,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c5|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f612,f82])).
% 0.14/0.40 fof(f627,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c4)=sk_c5|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f626,f243])).
% 0.14/0.40 fof(f629,plain,(
% 0.14/0.40 sk_c4=sk_c5|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f244,f627])).
% 0.14/0.40 fof(f635,plain,(
% 0.14/0.40 sk_c8=sk_c4|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f629,f612])).
% 0.14/0.40 fof(f636,plain,(
% 0.14/0.40 sk_c6=sk_c4|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f629,f608])).
% 0.14/0.40 fof(f652,plain,(
% 0.14/0.40 ~inverse(sk_c4)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f635,f64])).
% 0.14/0.40 fof(f653,plain,(
% 0.14/0.40 ~inverse(sk_c4)=sk_c4|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f636,f652])).
% 0.14/0.40 fof(f659,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c4|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f636,f218])).
% 0.14/0.40 fof(f660,plain,(
% 0.14/0.40 $false|sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f659,f653])).
% 0.14/0.40 fof(f661,plain,(
% 0.14/0.40 sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f660])).
% 0.14/0.40 fof(f662,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f68,f72,f76,f80,f84,f88,f89,f90,f91,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f126,f133,f137,f165,f166,f250,f309,f313,f384,f388,f538,f555,f578,f599,f661])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.062697 seconds
% 0.14/0.43 % CPU time: 0.206561 seconds
% 0.14/0.43 % Total memory used: 104.065 MB
% 0.14/0.43 % Net memory used: 103.815 MB
%------------------------------------------------------------------------------