%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP230-1 : 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 : n009.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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP230-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8046.5625MB
% 0.13/0.35 % OS : Linux 6.8.0-71-generic
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Sep 20 20:07:27 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,negated_conjecture,(
% 0.13/0.39 (![X3,X4,X2,X1,X5,X6]: (( inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| multiply(X4,sk_c7) != sk_c8| inverse(X4) != sk_c7| multiply(X2,X1) != sk_c8| inverse(X2) != X1| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X5) != sk_c7| multiply(X6,sk_c8) != X5| inverse(X6) != sk_c8 ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 ![X6]: ((![X5]: (((![X1]: ((![X2]: (((![X4]: (((![X3]: (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))|~multiply(X4,sk_c7)=sk_c8)|~inverse(X4)=sk_c7))|~multiply(X2,X1)=sk_c8)|~inverse(X2)=X1))|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X5)=sk_c7)|~multiply(X6,sk_c8)=X5))|~inverse(X6)=sk_c8)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f28])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7|~multiply(X2,X3)=sk_c8|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f58,definition,(
% 0.13/0.39 sQ0_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|~sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f58])).
% 0.13/0.39 fof(f61,definition,(
% 0.13/0.39 sQ1_spl <=> (multiply(sk_c3,sk_c4)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c4)=sk_c8|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f61])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.13/0.39 fof(f65,definition,(
% 0.13/0.39 sQ2_spl <=> (inverse(sk_c3)=sk_c4)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c4|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f65])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.13/0.39 fof(f69,definition,(
% 0.13/0.39 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 sQ0_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.13/0.39 fof(f73,definition,(
% 0.13/0.39 sQ4_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c6)=sk_c7|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 sQ0_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.13/0.39 fof(f77,definition,(
% 0.13/0.39 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c8)=sk_c6|~sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 sQ0_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.13/0.39 fof(f81,definition,(
% 0.13/0.39 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 sQ0_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.13/0.39 fof(f85,definition,(
% 0.13/0.39 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 sQ7_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.13/0.39 fof(f89,plain,(
% 0.13/0.39 sQ7_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 sQ7_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.13/0.39 fof(f91,plain,(
% 0.13/0.39 sQ7_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 sQ7_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.13/0.39 fof(f93,plain,(
% 0.13/0.39 sQ7_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.13/0.39 fof(f94,definition,(
% 0.13/0.39 sQ8_spl <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f95,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|~sQ8_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f94])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c7)=sk_c8|sQ8_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f94])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 sQ8_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 sQ8_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.13/0.39 fof(f99,plain,(
% 0.13/0.39 sQ8_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 sQ8_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.13/0.39 fof(f101,plain,(
% 0.13/0.39 sQ8_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.13/0.39 fof(f102,plain,(
% 0.13/0.39 sQ8_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.13/0.39 fof(f103,definition,(
% 0.13/0.39 sQ9_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|~sQ9_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 sQ9_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.13/0.39 fof(f108,plain,(
% 0.13/0.39 sQ9_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.13/0.39 fof(f109,plain,(
% 0.13/0.39 sQ9_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.13/0.39 fof(f110,plain,(
% 0.13/0.39 sQ9_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.13/0.39 fof(f111,plain,(
% 0.13/0.39 sQ9_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.13/0.39 fof(f112,definition,(
% 0.13/0.39 ![X0]: (sQ10_spl <=> (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ10_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f112])).
% 0.13/0.39 fof(f115,definition,(
% 0.13/0.39 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.39 fof(f118,definition,(
% 0.13/0.39 ![X2,X3]: (sQ12_spl <=> (~multiply(X2,X3)=sk_c8|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f119,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ12_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.39 fof(f121,definition,(
% 0.13/0.39 ![X4,X5]: (sQ13_spl <=> (~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 sQ10_spl|sQ11_spl|sQ12_spl|sQ13_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f57,f112,f115,f118,f121])).
% 0.13/0.39 fof(f125,plain,(
% 0.13/0.39 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f122])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c6,X0))|~sQ4_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f74,f31])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c8)=sk_c7|~inverse(sk_c6)=sk_c8|~sQ13_spl|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f129,f125])).
% 0.13/0.39 fof(f156,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ5_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f78,f125])).
% 0.13/0.39 fof(f157,definition,(
% 0.13/0.39 sQ14_spl <=> (multiply(sk_c7,sk_c8)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f159,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c8)=sk_c7|sQ14_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.39 fof(f160,definition,(
% 0.13/0.39 sQ15_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f163,plain,(
% 0.13/0.39 ~sQ14_spl|~sQ15_spl|~sQ13_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f154,f157,f160,f121,f73])).
% 0.13/0.39 fof(f164,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f156,f73,f81,f121,f77])).
% 0.13/0.39 fof(f165,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ12_spl)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f119])).
% 0.13/0.39 fof(f166,plain,(
% 0.13/0.39 ~multiply(sk_c3,inverse(sk_c3))=sk_c8|~multiply(sk_c4,sk_c7)=sk_c8|~sQ12_spl|~sQ2_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f66,f165])).
% 0.13/0.39 fof(f168,plain,(
% 0.13/0.39 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c8,sk_c7)=sk_c8|~sQ12_spl|~sQ0_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f59,f165])).
% 0.13/0.39 fof(f170,definition,(
% 0.13/0.39 sQ16_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f172,plain,(
% 0.13/0.39 ~multiply(sk_c3,inverse(sk_c3))=sk_c8|sQ16_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f170])).
% 0.13/0.39 fof(f173,plain,(
% 0.13/0.39 ~sQ16_spl|~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f166,f170,f69,f118,f65])).
% 0.13/0.39 fof(f177,definition,(
% 0.13/0.39 sQ18_spl <=> (multiply(sk_c8,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f179,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c7)=sk_c8|sQ18_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f177])).
% 0.13/0.39 fof(f181,definition,(
% 0.13/0.39 sQ19_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f183,plain,(
% 0.13/0.39 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|sQ19_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f181])).
% 0.13/0.39 fof(f184,plain,(
% 0.13/0.39 ~sQ19_spl|~sQ18_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f168,f181,f177,f118,f58])).
% 0.13/0.39 fof(f199,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c5)=identity|~sQ6_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f82,f30])).
% 0.13/0.39 fof(f201,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f29,f201])).
% 0.13/0.39 fof(f223,plain,(
% 0.13/0.39 sk_c4=multiply(inverse(sk_c3),sk_c8)|~sQ1_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f62,f202])).
% 0.13/0.39 fof(f231,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ5_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f78,f202])).
% 0.13/0.39 fof(f234,plain,(
% 0.13/0.39 sk_c4=multiply(sk_c4,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f66,f223])).
% 0.13/0.39 fof(f236,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c8,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f82,f231])).
% 0.13/0.39 fof(f237,plain,(
% 0.13/0.39 sk_c8=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f74,f236])).
% 0.13/0.39 fof(f239,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c5)=identity|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f237,f199])).
% 0.13/0.39 fof(f240,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c6)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f237,f74])).
% 0.13/0.39 fof(f241,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f237,f96])).
% 0.13/0.39 fof(f246,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c4)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f237,f62])).
% 0.13/0.39 fof(f249,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f237,f82])).
% 0.13/0.39 fof(f259,plain,(
% 0.13/0.39 sk_c4=multiply(sk_c4,sk_c7)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f237,f234])).
% 0.13/0.39 fof(f260,plain,(
% 0.13/0.39 sk_c7=multiply(inverse(sk_c4),sk_c4)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f259,f202])).
% 0.13/0.39 fof(f262,plain,(
% 0.13/0.39 sk_c7=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f30,f260])).
% 0.13/0.39 fof(f267,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f262,f29])).
% 0.13/0.39 fof(f270,plain,(
% 0.13/0.39 sk_c7=sk_c5|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f271,f262])).
% 0.13/0.39 fof(f271,plain,(
% 0.13/0.39 sk_c5=identity|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f267,f239])).
% 0.13/0.39 fof(f272,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ10_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f237,f113])).
% 0.13/0.39 fof(f273,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ10_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f237,f272])).
% 0.13/0.39 fof(f274,plain,(
% 0.13/0.39 ~inverse(sk_c7)=sk_c7|~sQ10_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f273,f267])).
% 0.13/0.39 fof(f281,definition,(
% 0.13/0.39 sQ23_spl <=> (sk_c7=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f283,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|sQ23_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f281])).
% 0.13/0.39 fof(f285,definition,(
% 0.13/0.39 sQ24_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f293,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f298,f267])).
% 0.13/0.39 fof(f295,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f298,f249])).
% 0.13/0.39 fof(f296,plain,(
% 0.13/0.39 sk_c8=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f298,f237])).
% 0.13/0.39 fof(f297,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f298,f104])).
% 0.13/0.39 fof(f298,plain,(
% 0.13/0.39 sk_c6=sk_c7|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f267,f240])).
% 0.13/0.39 fof(f301,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c6)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f298,f241])).
% 0.13/0.39 fof(f302,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f298,f301])).
% 0.13/0.39 fof(f303,plain,(
% 0.13/0.39 sk_c6=sk_c5|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f270,f298])).
% 0.13/0.39 fof(f304,plain,(
% 0.13/0.39 sk_c8=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f303,f296])).
% 0.13/0.39 fof(f305,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c6)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f303,f302])).
% 0.13/0.39 fof(f306,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f303,f305])).
% 0.13/0.39 fof(f307,plain,(
% 0.13/0.39 ~inverse(sk_c5)=sk_c7|~sQ10_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f270,f274])).
% 0.13/0.39 fof(f308,plain,(
% 0.13/0.39 ~inverse(sk_c5)=sk_c5|~sQ10_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f270,f307])).
% 0.13/0.39 fof(f309,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c4)=sk_c5|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f270,f246])).
% 0.13/0.40 fof(f316,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f303,f293])).
% 0.13/0.40 fof(f319,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f303,f295])).
% 0.13/0.40 fof(f320,plain,(
% 0.13/0.40 $false|~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f319,f308])).
% 0.13/0.40 fof(f321,plain,(
% 0.13/0.40 ~sQ10_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f320])).
% 0.13/0.40 fof(f324,plain,(
% 0.13/0.40 ~multiply(sk_c3,sk_c4)=sk_c8|~sQ2_spl|sQ16_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f66,f172])).
% 0.13/0.40 fof(f325,plain,(
% 0.13/0.40 ~sk_c5=sk_c8|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|sQ16_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f309,f324])).
% 0.13/0.40 fof(f326,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|sQ16_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f304,f325])).
% 0.13/0.40 fof(f327,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|sQ16_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f326])).
% 0.13/0.40 fof(f328,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|sQ16_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f327])).
% 0.13/0.40 fof(f329,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c8|~inverse(X0)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f270,f116])).
% 0.13/0.40 fof(f330,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f304,f329])).
% 0.13/0.40 fof(f331,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f270,f330])).
% 0.13/0.40 fof(f334,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f303,f297])).
% 0.13/0.40 fof(f335,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c2,X0))|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f334,f202])).
% 0.13/0.40 fof(f336,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c2,X0)|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f316,f335])).
% 0.13/0.40 fof(f362,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ9_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f336,f306])).
% 0.13/0.40 fof(f363,plain,(
% 0.13/0.40 $false|~sQ9_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f362])).
% 0.13/0.40 fof(f364,plain,(
% 0.13/0.40 ~sQ9_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ8_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f363])).
% 0.13/0.40 fof(f365,plain,(
% 0.13/0.40 $false|sQ23_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f283])).
% 0.13/0.40 fof(f366,plain,(
% 0.13/0.40 sQ23_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f365])).
% 0.13/0.40 fof(f371,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f86,f202])).
% 0.13/0.40 fof(f373,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c8,sk_c8)|~sQ0_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f59,f371])).
% 0.13/0.40 fof(f374,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c2),sk_c8)|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f95,f202])).
% 0.13/0.40 fof(f376,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f104,f374])).
% 0.13/0.40 fof(f377,plain,(
% 0.13/0.40 $false|sQ14_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f376,f159])).
% 0.13/0.40 fof(f378,plain,(
% 0.13/0.40 sQ14_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f377])).
% 0.13/0.40 fof(f388,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c1)=identity|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f59,f30])).
% 0.13/0.40 fof(f396,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c7|~sQ11_spl|~sQ8_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f116,f95])).
% 0.13/0.40 fof(f398,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~inverse(sk_c4)=sk_c7|~sQ11_spl|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f70,f116])).
% 0.13/0.40 fof(f405,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f104,f396])).
% 0.13/0.40 fof(f406,plain,(
% 0.13/0.40 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f405])).
% 0.13/0.40 fof(f407,plain,(
% 0.13/0.40 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f406])).
% 0.13/0.40 fof(f410,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c8|~sQ10_spl|~sQ7_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f113,f86])).
% 0.13/0.40 fof(f419,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~sQ0_spl|~sQ10_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f59,f410])).
% 0.13/0.40 fof(f420,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ10_spl|~sQ7_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f419])).
% 0.13/0.40 fof(f421,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ10_spl|~sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f420])).
% 0.13/0.40 fof(f424,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f376,f202])).
% 0.13/0.40 fof(f426,plain,(
% 0.13/0.40 sk_c8=identity|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f30,f424])).
% 0.13/0.40 fof(f427,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ9_spl|~sQ8_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f426,f30])).
% 0.13/0.40 fof(f430,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f426,f29])).
% 0.13/0.40 fof(f431,plain,(
% 0.13/0.40 sk_c7=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f430,f373])).
% 0.13/0.40 fof(f435,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f431,f430])).
% 0.13/0.40 fof(f436,plain,(
% 0.13/0.40 sk_c7=identity|~sQ0_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f431,f426])).
% 0.13/0.40 fof(f438,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c7)=sk_c7|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f431,f95])).
% 0.13/0.40 fof(f440,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f431,f59])).
% 0.13/0.40 fof(f441,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f431,f125])).
% 0.13/0.40 fof(f442,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c7|~inverse(X0)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f431,f441])).
% 0.13/0.40 fof(f443,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c7|~inverse(X0)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f431,f442])).
% 0.13/0.40 fof(f445,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f435,f443])).
% 0.13/0.40 fof(f459,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c1)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f431,f388])).
% 0.13/0.40 fof(f460,plain,(
% 0.13/0.40 sk_c1=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f435,f459])).
% 0.13/0.40 fof(f462,plain,(
% 0.13/0.40 inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f463,f440])).
% 0.13/0.40 fof(f463,plain,(
% 0.13/0.40 sk_c1=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f436,f460])).
% 0.13/0.40 fof(f467,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f431,f427])).
% 0.13/0.40 fof(f469,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c2)=sk_c7|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f104,f467])).
% 0.13/0.40 fof(f472,plain,(
% 0.13/0.40 sk_c2=sk_c7|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f435,f469])).
% 0.13/0.40 fof(f475,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f438,f31])).
% 0.13/0.40 fof(f477,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c7,X0))|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f435,f475])).
% 0.13/0.40 fof(f478,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c2,X0)|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f435,f477])).
% 0.13/0.40 fof(f482,plain,(
% 0.13/0.40 inverse(sk_c7)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f472,f462])).
% 0.13/0.40 fof(f483,plain,(
% 0.13/0.40 sk_c1=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f472,f463])).
% 0.13/0.40 fof(f485,plain,(
% 0.13/0.40 sk_c2=identity|~sQ0_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f472,f436])).
% 0.13/0.40 fof(f487,plain,(
% 0.13/0.40 sk_c2=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f472,f431])).
% 0.13/0.40 fof(f490,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f472,f482])).
% 0.13/0.40 fof(f506,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c7|~inverse(X0)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f472,f445])).
% 0.13/0.40 fof(f507,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f472,f506])).
% 0.13/0.40 fof(f508,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f472,f507])).
% 0.13/0.40 fof(f509,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c2|~sQ13_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f508,f478])).
% 0.13/0.40 fof(f512,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ13_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f490,f509])).
% 0.13/0.40 fof(f513,plain,(
% 0.13/0.40 $false|~sQ13_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f512])).
% 0.13/0.40 fof(f514,plain,(
% 0.13/0.40 ~sQ13_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f513])).
% 0.13/0.40 fof(f515,definition,(
% 0.13/0.40 sQ26_spl <=> (sk_c8=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f517,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|sQ26_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f515])).
% 0.13/0.40 fof(f518,plain,(
% 0.13/0.40 ~sQ26_spl|~sQ24_spl|~sQ11_spl|~sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f398,f515,f285,f115,f69])).
% 0.13/0.40 fof(f576,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c5|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f331,f316])).
% 0.13/0.40 fof(f579,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f319,f576])).
% 0.13/0.40 fof(f580,plain,(
% 0.13/0.40 $false|~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f579])).
% 0.13/0.40 fof(f581,plain,(
% 0.13/0.40 ~sQ11_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f580])).
% 0.13/0.40 fof(f582,plain,(
% 0.13/0.40 $false|sQ26_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f517])).
% 0.13/0.40 fof(f583,plain,(
% 0.13/0.40 sQ26_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f582])).
% 0.13/0.40 fof(f588,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f485,f29])).
% 0.13/0.40 fof(f592,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f483,f59])).
% 0.13/0.40 fof(f593,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f487,f592])).
% 0.13/0.40 fof(f729,plain,(
% 0.13/0.40 ~multiply(sk_c2,sk_c7)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f487,f179])).
% 0.13/0.40 fof(f730,plain,(
% 0.13/0.40 ~sk_c7=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f588,f729])).
% 0.13/0.40 fof(f731,plain,(
% 0.13/0.40 ~sk_c2=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f472,f730])).
% 0.13/0.40 fof(f732,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f487,f731])).
% 0.13/0.40 fof(f733,plain,(
% 0.13/0.40 $false|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f732])).
% 0.13/0.40 fof(f734,plain,(
% 0.13/0.40 ~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|sQ18_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f733])).
% 0.13/0.40 fof(f735,plain,(
% 0.13/0.40 ~multiply(sk_c2,inverse(sk_c1))=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f483,f183])).
% 0.13/0.40 fof(f736,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f588,f735])).
% 0.13/0.40 fof(f737,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f483,f736])).
% 0.13/0.40 fof(f738,plain,(
% 0.13/0.40 ~sk_c2=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f593,f737])).
% 0.13/0.40 fof(f739,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f487,f738])).
% 0.13/0.40 fof(f740,plain,(
% 0.13/0.40 $false|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f739])).
% 0.13/0.40 fof(f741,plain,(
% 0.13/0.40 ~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f740])).
% 0.13/0.40 fof(f742,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f64,f68,f72,f76,f80,f84,f88,f89,f90,f91,f92,f93,f97,f98,f99,f100,f101,f102,f106,f107,f108,f109,f110,f111,f124,f163,f164,f173,f184,f321,f328,f364,f366,f378,f407,f421,f514,f518,f581,f583,f734,f741])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.062792 seconds
% 0.13/0.42 % CPU time: 0.238076 seconds
% 0.13/0.42 % Total memory used: 104.255 MB
% 0.13/0.42 % Net memory used: 103.986 MB
%------------------------------------------------------------------------------