%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP236-1 : 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:18 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP236-1 : 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 : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:08:02 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,negated_conjecture,(
% 0.12/0.39 inverse(sk_c8) = sk_c7 ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f10,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f18,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f25,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f29,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,negated_conjecture,(
% 0.12/0.39 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X4,sk_c7) != sk_c8| multiply(X5,X6) != sk_c7| inverse(X5) != X6| multiply(X6,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,plain,(
% 0.12/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f32,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f33,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 inverse(sk_c8)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f36,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.39 fof(f42,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f43,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.39 fof(f50,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 ![X3]: ((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c8)=sk_c7|~inverse(X4)=sk_c8)|~multiply(X4,sk_c7)=sk_c8))|~multiply(X5,X6)=sk_c7)|~inverse(X5)=X6))|~multiply(X6,sk_c8)=sk_c7))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f30])).
% 0.12/0.39 fof(f61,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f60])).
% 0.12/0.39 fof(f62,definition,(
% 0.12/0.39 sQ0_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c8|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f62])).
% 0.12/0.39 fof(f65,definition,(
% 0.12/0.39 sQ1_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c8|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f65])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f35,f62,f65])).
% 0.12/0.39 fof(f69,definition,(
% 0.12/0.39 sQ2_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f69])).
% 0.12/0.39 fof(f72,plain,(
% 0.12/0.39 sQ0_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f36,f62,f69])).
% 0.12/0.39 fof(f73,definition,(
% 0.12/0.39 sQ3_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c6)=sk_c7|~sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 sQ0_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f37,f62,f73])).
% 0.12/0.39 fof(f77,definition,(
% 0.12/0.39 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 multiply(sk_c5,sk_c8)=sk_c6|~sQ4_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.39 fof(f80,plain,(
% 0.12/0.39 sQ0_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f38,f62,f77])).
% 0.12/0.39 fof(f81,definition,(
% 0.12/0.39 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f82,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.39 fof(f84,plain,(
% 0.12/0.39 sQ0_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f39,f62,f81])).
% 0.12/0.39 fof(f85,definition,(
% 0.12/0.39 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c7)=sk_c8|~sQ6_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.39 fof(f88,plain,(
% 0.12/0.39 sQ6_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f40,f85,f65])).
% 0.12/0.39 fof(f89,plain,(
% 0.12/0.39 sQ6_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f41,f85,f69])).
% 0.12/0.39 fof(f90,plain,(
% 0.12/0.39 sQ6_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f42,f85,f73])).
% 0.12/0.39 fof(f91,plain,(
% 0.12/0.39 sQ6_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f43,f85,f77])).
% 0.12/0.39 fof(f92,plain,(
% 0.12/0.39 sQ6_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f44,f85,f81])).
% 0.12/0.39 fof(f93,definition,(
% 0.12/0.39 sQ7_spl <=> (multiply(sk_c2,sk_c3)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|~sQ7_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f45,f93,f65])).
% 0.12/0.39 fof(f97,plain,(
% 0.12/0.39 sQ7_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f46,f93,f69])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 sQ7_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f47,f93,f73])).
% 0.12/0.39 fof(f99,plain,(
% 0.12/0.39 sQ7_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f48,f93,f77])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 sQ7_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f49,f93,f81])).
% 0.12/0.39 fof(f101,definition,(
% 0.12/0.39 sQ8_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f102,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|~sQ8_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.39 fof(f104,plain,(
% 0.12/0.39 sQ8_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f50,f101,f65])).
% 0.12/0.39 fof(f105,plain,(
% 0.12/0.39 sQ8_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f51,f101,f69])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 sQ8_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f52,f101,f73])).
% 0.12/0.39 fof(f107,plain,(
% 0.12/0.39 sQ8_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f53,f101,f77])).
% 0.12/0.39 fof(f108,plain,(
% 0.12/0.39 sQ8_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f54,f101,f81])).
% 0.12/0.39 fof(f109,definition,(
% 0.12/0.39 sQ9_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f110,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c8)=sk_c7|~sQ9_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 sQ9_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f55,f109,f65])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 sQ9_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f57,f109,f73])).
% 0.12/0.39 fof(f115,plain,(
% 0.12/0.39 sQ9_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f58,f109,f77])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 sQ9_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f59,f109,f81])).
% 0.12/0.39 fof(f117,definition,(
% 0.12/0.39 sQ10_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f119,plain,(
% 0.12/0.39 ~inverse(sk_c8)=sk_c7|sQ10_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.39 fof(f120,definition,(
% 0.12/0.39 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f121,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ11_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f120])).
% 0.12/0.39 fof(f123,definition,(
% 0.12/0.39 ![X1,X2]: (sQ12_spl <=> (~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c7|~sQ12_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f123])).
% 0.12/0.39 fof(f126,definition,(
% 0.12/0.39 ![X4,X5]: (sQ13_spl <=> (~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f127,plain,(
% 0.12/0.39 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f126])).
% 0.12/0.39 fof(f129,plain,(
% 0.12/0.39 ~sQ10_spl|sQ11_spl|sQ12_spl|sQ13_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f61,f117,f120,f123,f126])).
% 0.12/0.39 fof(f130,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f127])).
% 0.12/0.39 fof(f133,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c6,X0))|~sQ3_spl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f74,f33])).
% 0.12/0.39 fof(f154,plain,(
% 0.12/0.39 ~multiply(sk_c7,sk_c8)=sk_c7|~inverse(sk_c6)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f133,f130])).
% 0.12/0.39 fof(f156,plain,(
% 0.12/0.39 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ4_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f78,f130])).
% 0.12/0.39 fof(f157,plain,(
% 0.12/0.39 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ13_spl|~sQ9_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f110,f130])).
% 0.12/0.39 fof(f158,definition,(
% 0.12/0.39 sQ14_spl <=> (multiply(sk_c7,sk_c8)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f160,plain,(
% 0.12/0.39 ~multiply(sk_c7,sk_c8)=sk_c7|sQ14_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f158])).
% 0.12/0.39 fof(f161,definition,(
% 0.12/0.39 sQ15_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f164,plain,(
% 0.12/0.39 ~sQ14_spl|~sQ15_spl|~sQ13_spl|~sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f154,f158,f161,f126,f73])).
% 0.12/0.39 fof(f165,plain,(
% 0.12/0.39 ~sQ3_spl|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f156,f73,f81,f126,f77])).
% 0.12/0.39 fof(f166,definition,(
% 0.12/0.39 sQ16_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f168,plain,(
% 0.12/0.39 ~multiply(sk_c8,sk_c7)=sk_c7|sQ16_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f166])).
% 0.12/0.39 fof(f169,definition,(
% 0.12/0.39 sQ17_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f171,plain,(
% 0.12/0.39 ~inverse(sk_c3)=sk_c8|sQ17_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f169])).
% 0.12/0.39 fof(f172,plain,(
% 0.12/0.39 ~sQ16_spl|~sQ17_spl|~sQ13_spl|~sQ9_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f157,f166,f169,f126,f109])).
% 0.12/0.39 fof(f173,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~sQ12_spl)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f124])).
% 0.12/0.39 fof(f174,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|sQ10_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f119])).
% 0.12/0.39 fof(f175,plain,(
% 0.12/0.39 $false|sQ10_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f174])).
% 0.12/0.39 fof(f176,plain,(
% 0.12/0.39 sQ10_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f175])).
% 0.12/0.39 fof(f177,plain,(
% 0.12/0.39 ~multiply(sk_c4,inverse(sk_c4))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~sQ12_spl|~sQ1_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f66,f173])).
% 0.12/0.39 fof(f178,plain,(
% 0.12/0.39 ~multiply(sk_c5,inverse(sk_c5))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~sQ12_spl|~sQ5_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f82,f173])).
% 0.12/0.39 fof(f179,plain,(
% 0.12/0.39 ~multiply(sk_c1,inverse(sk_c1))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~sQ12_spl|~sQ0_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f63,f173])).
% 0.12/0.39 fof(f181,plain,(
% 0.12/0.39 ~multiply(sk_c8,inverse(sk_c8))=sk_c7|~multiply(sk_c7,sk_c8)=sk_c7|~sQ12_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f34,f173])).
% 0.12/0.39 fof(f182,definition,(
% 0.12/0.39 sQ18_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f185,definition,(
% 0.12/0.39 sQ19_spl <=> (multiply(sk_c8,sk_c8)=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f186,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c8)=sk_c7|~sQ19_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f185])).
% 0.12/0.39 fof(f187,plain,(
% 0.12/0.39 ~multiply(sk_c8,sk_c8)=sk_c7|sQ19_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f185])).
% 0.12/0.39 fof(f188,plain,(
% 0.12/0.39 ~sQ18_spl|~sQ19_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f177,f182,f185,f123,f65])).
% 0.12/0.39 fof(f189,definition,(
% 0.12/0.39 sQ20_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f191,plain,(
% 0.12/0.39 ~multiply(sk_c5,inverse(sk_c5))=sk_c7|sQ20_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f189])).
% 0.12/0.39 fof(f192,plain,(
% 0.12/0.39 ~sQ20_spl|~sQ19_spl|~sQ12_spl|~sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f178,f189,f185,f123,f81])).
% 0.12/0.39 fof(f193,definition,(
% 0.12/0.39 sQ21_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f196,plain,(
% 0.12/0.39 ~sQ21_spl|~sQ19_spl|~sQ12_spl|~sQ0_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f179,f193,f185,f123,f62])).
% 0.12/0.39 fof(f201,definition,(
% 0.12/0.39 sQ23_spl <=> (multiply(sk_c8,inverse(sk_c8))=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f203,plain,(
% 0.12/0.39 ~multiply(sk_c8,inverse(sk_c8))=sk_c7|sQ23_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f201])).
% 0.12/0.39 fof(f204,plain,(
% 0.12/0.39 ~sQ23_spl|~sQ14_spl|~sQ12_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f181,f201,f158,f123])).
% 0.12/0.39 fof(f205,plain,(
% 0.12/0.39 ~multiply(sk_c8,sk_c7)=sk_c7|sQ23_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f203])).
% 0.12/0.39 fof(f211,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c5)=identity|~sQ5_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f82,f32])).
% 0.12/0.39 fof(f212,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c4)=identity|~sQ1_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f66,f32])).
% 0.12/0.39 fof(f213,plain,(
% 0.12/0.39 multiply(sk_c8,sk_c1)=identity|~sQ0_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f63,f32])).
% 0.12/0.39 fof(f214,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c8)=identity),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f34,f32])).
% 0.12/0.39 fof(f215,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f32,f33])).
% 0.12/0.39 fof(f216,plain,(
% 0.12/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f31,f215])).
% 0.12/0.39 fof(f228,plain,(
% 0.12/0.39 ~identity=sk_c7|sQ14_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f214,f160])).
% 0.12/0.39 fof(f237,plain,(
% 0.12/0.39 sk_c1=multiply(inverse(sk_c8),identity)|~sQ0_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f213,f216])).
% 0.12/0.39 fof(f238,plain,(
% 0.12/0.39 sk_c4=multiply(inverse(sk_c8),identity)|~sQ1_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f212,f216])).
% 0.12/0.39 fof(f239,plain,(
% 0.12/0.39 sk_c5=multiply(inverse(sk_c8),identity)|~sQ5_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f211,f216])).
% 0.12/0.39 fof(f240,plain,(
% 0.12/0.39 sk_c6=multiply(inverse(sk_c8),sk_c7)|~sQ3_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f74,f216])).
% 0.12/0.39 fof(f246,plain,(
% 0.12/0.39 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ2_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f70,f216])).
% 0.12/0.39 fof(f248,plain,(
% 0.12/0.39 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ4_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f78,f216])).
% 0.12/0.39 fof(f249,plain,(
% 0.12/0.39 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f86,f216])).
% 0.12/0.39 fof(f252,plain,(
% 0.12/0.39 sk_c1=multiply(sk_c7,identity)|~sQ0_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f237])).
% 0.12/0.39 fof(f253,plain,(
% 0.12/0.39 sk_c4=multiply(sk_c7,identity)|~sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f238])).
% 0.12/0.39 fof(f254,plain,(
% 0.12/0.39 sk_c5=multiply(sk_c7,identity)|~sQ5_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f239])).
% 0.12/0.39 fof(f255,plain,(
% 0.12/0.39 sk_c6=multiply(sk_c7,sk_c7)|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f240])).
% 0.12/0.39 fof(f257,plain,(
% 0.12/0.39 sk_c7=multiply(sk_c8,sk_c8)|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f66,f246])).
% 0.12/0.39 fof(f258,plain,(
% 0.12/0.39 $false|sQ19_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f257,f187])).
% 0.12/0.39 fof(f259,plain,(
% 0.12/0.39 sQ19_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f258])).
% 0.12/0.39 fof(f261,plain,(
% 0.12/0.39 sk_c8=multiply(sk_c8,sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f82,f248])).
% 0.12/0.39 fof(f262,plain,(
% 0.12/0.39 sk_c8=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f74,f261])).
% 0.12/0.39 fof(f263,plain,(
% 0.12/0.39 sk_c7=multiply(sk_c8,sk_c8)|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f63,f249])).
% 0.12/0.39 fof(f266,plain,(
% 0.12/0.39 ~multiply(sk_c5,sk_c8)=sk_c7|~sQ5_spl|sQ20_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f82,f191])).
% 0.12/0.39 fof(f267,plain,(
% 0.12/0.39 ~sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|sQ20_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f78,f266])).
% 0.12/0.39 fof(f273,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c6)=sk_c7|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f262,f74])).
% 0.12/0.39 fof(f274,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f262,f82])).
% 0.12/0.39 fof(f278,plain,(
% 0.12/0.39 multiply(sk_c5,sk_c7)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f262,f78])).
% 0.12/0.39 fof(f292,plain,(
% 0.12/0.39 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f273,f216])).
% 0.12/0.39 fof(f294,plain,(
% 0.12/0.39 sk_c6=identity|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f32,f292])).
% 0.12/0.39 fof(f303,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f294,f32])).
% 0.12/0.39 fof(f304,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f294,f31])).
% 0.12/0.39 fof(f319,plain,(
% 0.12/0.39 sk_c1=sk_c7|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f320,f273])).
% 0.12/0.39 fof(f320,plain,(
% 0.12/0.39 sk_c1=multiply(sk_c7,sk_c6)|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f294,f252])).
% 0.12/0.39 fof(f330,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c1|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f319,f274])).
% 0.12/0.39 fof(f332,plain,(
% 0.12/0.39 ~sk_c6=sk_c1|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ20_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f319,f267])).
% 0.12/0.39 fof(f333,plain,(
% 0.12/0.39 sk_c8=sk_c1|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f319,f262])).
% 0.12/0.39 fof(f342,plain,(
% 0.12/0.39 sk_c4=multiply(sk_c1,identity)|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f319,f253])).
% 0.12/0.39 fof(f343,plain,(
% 0.12/0.39 sk_c4=multiply(sk_c1,sk_c6)|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f294,f342])).
% 0.12/0.39 fof(f348,plain,(
% 0.12/0.39 sk_c5=multiply(sk_c1,identity)|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f319,f254])).
% 0.12/0.39 fof(f349,plain,(
% 0.12/0.39 sk_c4=sk_c5|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f350,f343])).
% 0.12/0.39 fof(f350,plain,(
% 0.12/0.39 sk_c5=multiply(sk_c1,sk_c6)|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f294,f348])).
% 0.12/0.39 fof(f355,plain,(
% 0.12/0.39 multiply(sk_c5,sk_c1)=sk_c6|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f319,f278])).
% 0.12/0.39 fof(f356,plain,(
% 0.12/0.39 sk_c1=multiply(inverse(sk_c5),sk_c6)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f355,f216])).
% 0.12/0.39 fof(f358,plain,(
% 0.12/0.39 sk_c1=multiply(sk_c1,sk_c6)|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f330,f356])).
% 0.12/0.39 fof(f359,plain,(
% 0.12/0.39 sk_c1=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f350,f358])).
% 0.12/0.39 fof(f370,plain,(
% 0.12/0.39 inverse(sk_c5)=sk_c5|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f359,f330])).
% 0.12/0.39 fof(f372,plain,(
% 0.12/0.39 sk_c8=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f359,f333])).
% 0.12/0.39 fof(f373,plain,(
% 0.12/0.39 ~sk_c6=sk_c5|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ20_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f359,f332])).
% 0.12/0.39 fof(f374,plain,(
% 0.12/0.39 sk_c5=sk_c7|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f359,f319])).
% 0.12/0.39 fof(f379,plain,(
% 0.12/0.39 sk_c6=multiply(sk_c5,sk_c7)|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f374,f255])).
% 0.12/0.39 fof(f380,plain,(
% 0.12/0.39 sk_c6=multiply(sk_c5,sk_c5)|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f374,f379])).
% 0.12/0.39 fof(f390,plain,(
% 0.12/0.39 sk_c5=multiply(sk_c8,sk_c8)|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f374,f263])).
% 0.12/0.39 fof(f391,plain,(
% 0.12/0.39 sk_c5=multiply(sk_c5,sk_c8)|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f372,f390])).
% 0.12/0.39 fof(f392,plain,(
% 0.12/0.39 sk_c6=sk_c5|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f393,f380])).
% 0.12/0.39 fof(f393,plain,(
% 0.12/0.39 sk_c5=multiply(sk_c5,sk_c5)|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f372,f391])).
% 0.12/0.39 fof(f396,plain,(
% 0.12/0.39 $false|sQ20_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f392,f373])).
% 0.12/0.39 fof(f397,plain,(
% 0.12/0.39 sQ20_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f396])).
% 0.12/0.39 fof(f399,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c7)=sk_c8|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f372,f121])).
% 0.12/0.39 fof(f400,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c8|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f374,f399])).
% 0.12/0.39 fof(f401,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c5|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f372,f400])).
% 0.12/0.39 fof(f415,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f392,f303])).
% 0.12/0.39 fof(f460,plain,(
% 0.12/0.39 ~inverse(inverse(sk_c5))=sk_c5|~sQ11_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f401,f415])).
% 0.12/0.39 fof(f465,plain,(
% 0.12/0.39 ~inverse(sk_c5)=sk_c5|~sQ11_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f370,f460])).
% 0.12/0.39 fof(f466,plain,(
% 0.12/0.39 ~sk_c5=sk_c5|~sQ11_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f370,f465])).
% 0.12/0.39 fof(f467,plain,(
% 0.12/0.39 $false|~sQ11_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f466])).
% 0.12/0.39 fof(f468,plain,(
% 0.12/0.39 ~sQ11_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f467])).
% 0.12/0.39 fof(f475,plain,(
% 0.12/0.39 sk_c8=multiply(inverse(sk_c8),sk_c7)|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f263,f216])).
% 0.12/0.39 fof(f477,plain,(
% 0.12/0.39 sk_c8=multiply(sk_c7,sk_c7)|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f34,f475])).
% 0.12/0.39 fof(f478,plain,(
% 0.12/0.39 sk_c3=multiply(inverse(sk_c2),sk_c7)|~sQ7_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f94,f216])).
% 0.12/0.39 fof(f480,plain,(
% 0.12/0.39 sk_c3=multiply(sk_c3,sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f102,f478])).
% 0.12/0.39 fof(f494,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ1_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f497,f86])).
% 0.12/0.39 fof(f497,plain,(
% 0.12/0.39 sk_c1=sk_c4|~sQ1_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f253,f252])).
% 0.12/0.39 fof(f498,plain,(
% 0.12/0.39 sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f494,f69,f65,f62,f85])).
% 0.12/0.39 fof(f518,plain,(
% 0.12/0.39 sk_c7=multiply(inverse(sk_c3),sk_c3)|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f480,f216])).
% 0.12/0.39 fof(f520,plain,(
% 0.12/0.39 sk_c7=identity|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f32,f518])).
% 0.12/0.39 fof(f521,plain,(
% 0.12/0.39 $false|sQ14_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f520,f228])).
% 0.12/0.39 fof(f522,plain,(
% 0.12/0.39 sQ14_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f521])).
% 0.12/0.39 fof(f529,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ8_spl|~sQ7_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f520,f31])).
% 0.12/0.39 fof(f530,plain,(
% 0.12/0.39 sk_c8=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f529,f477])).
% 0.12/0.39 fof(f534,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c7)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f530,f110])).
% 0.12/0.39 fof(f537,plain,(
% 0.12/0.39 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ16_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f530,f168])).
% 0.12/0.39 fof(f538,plain,(
% 0.12/0.39 inverse(sk_c7)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f530,f34])).
% 0.12/0.39 fof(f540,plain,(
% 0.12/0.39 sk_c3=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f480,f534])).
% 0.12/0.39 fof(f542,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ16_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f529,f537])).
% 0.12/0.39 fof(f543,plain,(
% 0.12/0.39 $false|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ16_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f542])).
% 0.12/0.39 fof(f544,plain,(
% 0.12/0.39 ~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ16_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f543])).
% 0.12/0.39 fof(f545,plain,(
% 0.12/0.39 ~inverse(sk_c3)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f530,f171])).
% 0.12/0.39 fof(f573,definition,(
% 0.12/0.39 sQ29_spl <=> (sk_c7=sk_c7)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f575,plain,(
% 0.12/0.39 ~sk_c7=sk_c7|sQ29_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f573])).
% 0.12/0.39 fof(f580,plain,(
% 0.12/0.39 $false|sQ29_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f575])).
% 0.12/0.39 fof(f581,plain,(
% 0.12/0.39 sQ29_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f580])).
% 0.12/0.39 fof(f637,plain,(
% 0.12/0.39 sk_c8=sk_c3|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f540,f530])).
% 0.12/0.39 fof(f638,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c3,X0)=X0|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f540,f529])).
% 0.12/0.39 fof(f651,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f540,f538])).
% 0.12/0.39 fof(f652,plain,(
% 0.12/0.39 inverse(sk_c3)=sk_c3|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f540,f651])).
% 0.12/0.39 fof(f654,plain,(
% 0.12/0.39 ~sk_c3=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f652,f545])).
% 0.12/0.39 fof(f655,plain,(
% 0.12/0.39 ~sk_c3=sk_c3|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f540,f654])).
% 0.12/0.39 fof(f656,plain,(
% 0.12/0.40 $false|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f655])).
% 0.12/0.40 fof(f657,plain,(
% 0.12/0.40 ~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|sQ17_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f656])).
% 0.12/0.40 fof(f674,plain,(
% 0.12/0.40 ~sQ16_spl|sQ23_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f205,f166,f201])).
% 0.12/0.40 fof(f686,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c7)=sk_c8|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f349,f70])).
% 0.12/0.40 fof(f687,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c5)=sk_c8|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f374,f686])).
% 0.12/0.40 fof(f688,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c5)=sk_c5|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f372,f687])).
% 0.12/0.40 fof(f694,plain,(
% 0.12/0.40 ~sk_c6=sk_c7|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ14_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f294,f228])).
% 0.12/0.40 fof(f696,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c5)=sk_c6|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f372,f78])).
% 0.12/0.40 fof(f697,plain,(
% 0.12/0.40 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f688,f696])).
% 0.12/0.40 fof(f729,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f697,f304])).
% 0.12/0.40 fof(f777,plain,(
% 0.12/0.40 ~multiply(sk_c5,sk_c7)=sk_c7|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f372,f168])).
% 0.12/0.40 fof(f778,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f729,f777])).
% 0.12/0.40 fof(f779,plain,(
% 0.12/0.40 ~sk_c5=sk_c7|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f374,f778])).
% 0.12/0.40 fof(f780,plain,(
% 0.12/0.40 ~sk_c5=sk_c5|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f374,f779])).
% 0.12/0.40 fof(f781,plain,(
% 0.12/0.40 $false|~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f780])).
% 0.12/0.40 fof(f782,plain,(
% 0.12/0.40 ~sQ1_spl|~sQ2_spl|~sQ0_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f781])).
% 0.12/0.40 fof(f787,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f294,f31])).
% 0.12/0.40 fof(f790,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f262,f82])).
% 0.12/0.40 fof(f793,plain,(
% 0.12/0.40 inverse(sk_c4)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f262,f66])).
% 0.12/0.40 fof(f803,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c8)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ19_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f262,f186])).
% 0.12/0.40 fof(f804,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ19_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f262,f803])).
% 0.12/0.40 fof(f805,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ19_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f804,f216])).
% 0.12/0.40 fof(f807,plain,(
% 0.12/0.40 sk_c7=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ19_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f303,f805])).
% 0.12/0.40 fof(f808,plain,(
% 0.12/0.40 $false|sQ14_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ19_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f807,f694])).
% 0.12/0.40 fof(f809,plain,(
% 0.12/0.40 sQ14_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ19_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f808])).
% 0.12/0.40 fof(f812,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c8|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f262,f121])).
% 0.12/0.40 fof(f813,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f262,f812])).
% 0.12/0.40 fof(f818,plain,(
% 0.12/0.40 inverse(sk_c4)=sk_c6|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f807,f793])).
% 0.12/0.40 fof(f819,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c6|~sQ19_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f807,f790])).
% 0.12/0.40 fof(f820,plain,(
% 0.12/0.40 sk_c8=sk_c6|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f807,f262])).
% 0.12/0.40 fof(f829,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c6)=sk_c6|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f820,f78])).
% 0.12/0.40 fof(f831,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f829,f33])).
% 0.12/0.40 fof(f832,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c6,X0))|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f787,f831])).
% 0.12/0.40 fof(f833,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c5,X0)|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f787,f832])).
% 0.12/0.40 fof(f840,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c4)=sk_c6|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f818,f303])).
% 0.12/0.40 fof(f842,plain,(
% 0.12/0.40 sk_c4=sk_c6|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f787,f840])).
% 0.12/0.40 fof(f846,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c5)=sk_c6|~sQ19_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f819,f303])).
% 0.12/0.40 fof(f848,plain,(
% 0.12/0.40 sk_c5=sk_c6|~sQ19_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f787,f846])).
% 0.12/0.40 fof(f851,plain,(
% 0.12/0.40 sk_c4=sk_c5|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f848,f842])).
% 0.12/0.40 fof(f856,plain,(
% 0.12/0.40 sk_c8=sk_c5|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f848,f820])).
% 0.12/0.40 fof(f857,plain,(
% 0.12/0.40 sk_c7=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ19_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f848,f807])).
% 0.12/0.40 fof(f860,plain,(
% 0.12/0.40 sk_c5=identity|~sQ19_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f848,f294])).
% 0.12/0.40 fof(f912,plain,(
% 0.12/0.40 ~multiply(sk_c5,sk_c7)=sk_c7|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f856,f168])).
% 0.12/0.40 fof(f913,plain,(
% 0.12/0.40 ~sk_c7=sk_c7|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f833,f912])).
% 0.12/0.40 fof(f914,plain,(
% 0.12/0.40 ~sk_c5=sk_c7|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f857,f913])).
% 0.12/0.40 fof(f915,plain,(
% 0.12/0.40 ~sk_c5=sk_c5|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f857,f914])).
% 0.12/0.40 fof(f916,plain,(
% 0.12/0.40 $false|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f915])).
% 0.12/0.40 fof(f917,plain,(
% 0.12/0.40 ~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ16_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f916])).
% 0.12/0.40 fof(f946,definition,(
% 0.12/0.40 sQ32_spl <=> (inverse(sk_c3)=sk_c3)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f948,plain,(
% 0.12/0.40 ~inverse(sk_c3)=sk_c3|sQ32_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f946])).
% 0.12/0.40 fof(f949,definition,(
% 0.12/0.40 sQ33_spl <=> (sk_c3=sk_c3)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f951,plain,(
% 0.12/0.40 ~sk_c3=sk_c3|sQ33_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f949])).
% 0.12/0.40 fof(f953,plain,(
% 0.12/0.40 $false|sQ33_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f951])).
% 0.12/0.40 fof(f954,plain,(
% 0.12/0.40 sQ33_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f953])).
% 0.12/0.40 fof(f957,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c8|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f851,f66])).
% 0.12/0.40 fof(f958,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c5|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f856,f957])).
% 0.12/0.40 fof(f967,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c7)=sk_c7|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f857,f813])).
% 0.12/0.40 fof(f968,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c7|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f857,f967])).
% 0.12/0.40 fof(f969,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c5|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f857,f968])).
% 0.12/0.40 fof(f976,definition,(
% 0.12/0.40 sQ35_spl <=> (sk_c5=sk_c5)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f978,plain,(
% 0.12/0.40 ~sk_c5=sk_c5|sQ35_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f976])).
% 0.12/0.40 fof(f980,plain,(
% 0.12/0.40 $false|sQ35_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f978])).
% 0.12/0.40 fof(f981,plain,(
% 0.12/0.40 sQ35_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f980])).
% 0.12/0.40 fof(f982,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ19_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f860,f31])).
% 0.12/0.40 fof(f983,plain,(
% 0.12/0.40 ~inverse(sk_c5)=sk_c5|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f982,f969])).
% 0.12/0.40 fof(f987,plain,(
% 0.12/0.40 ~sk_c5=sk_c5|~sQ1_spl|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f958,f983])).
% 0.12/0.40 fof(f988,plain,(
% 0.12/0.40 $false|~sQ1_spl|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f987])).
% 0.12/0.40 fof(f989,plain,(
% 0.12/0.40 ~sQ1_spl|~sQ19_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f988])).
% 0.12/0.40 fof(f990,plain,(
% 0.12/0.40 $false|sQ32_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f652,f948])).
% 0.12/0.40 fof(f991,plain,(
% 0.12/0.40 sQ32_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f990])).
% 0.12/0.40 fof(f1002,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c7)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ11_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f637,f121])).
% 0.12/0.40 fof(f1003,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ11_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f540,f1002])).
% 0.12/0.40 fof(f1004,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c3|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ11_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f637,f1003])).
% 0.12/0.40 fof(f1030,plain,(
% 0.12/0.40 ~inverse(sk_c3)=sk_c3|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ11_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f638,f1004])).
% 0.12/0.40 fof(f1034,plain,(
% 0.12/0.40 ~sQ32_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ11_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f1030,f946,f109,f101,f93,f62,f85,f120])).
% 0.12/0.40 fof(f1037,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 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,f114,f115,f116,f129,f164,f165,f172,f176,f188,f192,f196,f204,f259,f397,f468,f498,f522,f544,f581,f657,f674,f782,f809,f917,f954,f981,f989,f991,f1034])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.059047 seconds
% 0.12/0.43 % CPU time: 0.245658 seconds
% 0.12/0.43 % Total memory used: 105.710 MB
% 0.12/0.43 % Net memory used: 105.406 MB
%------------------------------------------------------------------------------