%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP297-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:36:24 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP297-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:10:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,axiom,(
% 0.12/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f2,axiom,(
% 0.12/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f4,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f5,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c2) = sk_c7 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f6,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c4 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f9,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f10,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f11,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f12,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f13,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f14,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f15,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f16,negated_conjecture,(
% 0.12/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f17,negated_conjecture,(
% 0.12/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c2) = sk_c7 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f18,negated_conjecture,(
% 0.12/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f19,negated_conjecture,(
% 0.12/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f20,negated_conjecture,(
% 0.12/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f21,negated_conjecture,(
% 0.12/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f22,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f23,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f24,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f25,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f26,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f27,negated_conjecture,(
% 0.12/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f28,negated_conjecture,(
% 0.12/0.41 (![X2,X1,X3,X4]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(X3,X4) != sk_c6| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c6 ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f29,plain,(
% 0.12/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.41 fof(f30,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f31,plain,(
% 0.12/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.41 fof(f33,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c2)=sk_c7),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f34,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c2,sk_c6)=sk_c7),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.41 fof(f35,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c4)=sk_c6),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.41 fof(f36,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c4),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.41 fof(f37,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c7)=sk_c6),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.41 fof(f38,plain,(
% 0.12/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.41 fof(f39,plain,(
% 0.12/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.41 fof(f40,plain,(
% 0.12/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.41 fof(f41,plain,(
% 0.12/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.41 fof(f42,plain,(
% 0.12/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.41 fof(f43,plain,(
% 0.12/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.41 fof(f44,plain,(
% 0.12/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.41 fof(f45,plain,(
% 0.12/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c2)=sk_c7),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.41 fof(f46,plain,(
% 0.12/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c2,sk_c6)=sk_c7),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.41 fof(f47,plain,(
% 0.12/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c4)=sk_c6),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.41 fof(f48,plain,(
% 0.12/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.41 fof(f49,plain,(
% 0.12/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.41 fof(f50,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.41 fof(f51,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.41 fof(f52,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.41 fof(f53,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.41 fof(f54,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.41 fof(f55,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.41 fof(f56,plain,(
% 0.12/0.41 ![X4]: ((![X3]: (((![X1]: (((((![X2]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X2,sk_c7)=sk_c6)|~inverse(X2)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(X3,X4)=sk_c6)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c6)),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f28])).
% 0.12/0.42 fof(f57,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c6)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f56])).
% 0.12/0.42 fof(f58,definition,(
% 0.12/0.42 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f59,plain,(
% 0.12/0.42 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f58])).
% 0.12/0.42 fof(f60,plain,(
% 0.12/0.42 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f58])).
% 0.12/0.42 fof(f61,definition,(
% 0.12/0.42 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f62,plain,(
% 0.12/0.42 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f61])).
% 0.12/0.42 fof(f63,plain,(
% 0.12/0.42 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f61])).
% 0.12/0.42 fof(f64,plain,(
% 0.12/0.42 sQ0_spl|sQ1_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.12/0.42 fof(f65,definition,(
% 0.12/0.42 sQ2_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f66,plain,(
% 0.12/0.42 inverse(sk_c2)=sk_c7|~sQ2_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f65])).
% 0.12/0.42 fof(f68,plain,(
% 0.12/0.42 sQ0_spl|sQ2_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.12/0.42 fof(f69,definition,(
% 0.12/0.42 sQ3_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f70,plain,(
% 0.12/0.42 multiply(sk_c2,sk_c6)=sk_c7|~sQ3_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f69])).
% 0.12/0.42 fof(f72,plain,(
% 0.12/0.42 sQ0_spl|sQ3_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.12/0.42 fof(f73,definition,(
% 0.12/0.42 sQ4_spl <=> (multiply(sk_c3,sk_c4)=sk_c6)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f74,plain,(
% 0.12/0.42 multiply(sk_c3,sk_c4)=sk_c6|~sQ4_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.42 fof(f76,plain,(
% 0.12/0.42 sQ0_spl|sQ4_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.12/0.42 fof(f77,definition,(
% 0.12/0.42 sQ5_spl <=> (inverse(sk_c3)=sk_c4)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f78,plain,(
% 0.12/0.42 inverse(sk_c3)=sk_c4|~sQ5_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.42 fof(f80,plain,(
% 0.12/0.42 sQ0_spl|sQ5_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.12/0.42 fof(f81,definition,(
% 0.12/0.42 sQ6_spl <=> (multiply(sk_c4,sk_c7)=sk_c6)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f82,plain,(
% 0.12/0.42 multiply(sk_c4,sk_c7)=sk_c6|~sQ6_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.42 fof(f84,plain,(
% 0.12/0.42 sQ0_spl|sQ6_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.12/0.42 fof(f85,definition,(
% 0.12/0.42 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f86,plain,(
% 0.12/0.42 multiply(sk_c1,sk_c7)=sk_c6|~sQ7_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.42 fof(f88,plain,(
% 0.12/0.42 sQ7_spl|sQ1_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.12/0.42 fof(f89,plain,(
% 0.12/0.42 sQ7_spl|sQ2_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.12/0.42 fof(f90,plain,(
% 0.12/0.42 sQ7_spl|sQ3_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.12/0.42 fof(f91,plain,(
% 0.12/0.42 sQ7_spl|sQ4_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.12/0.42 fof(f92,plain,(
% 0.12/0.42 sQ7_spl|sQ5_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.12/0.42 fof(f93,plain,(
% 0.12/0.42 sQ7_spl|sQ6_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.12/0.42 fof(f94,definition,(
% 0.12/0.42 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f95,plain,(
% 0.12/0.42 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f94])).
% 0.12/0.42 fof(f97,plain,(
% 0.12/0.42 sQ8_spl|sQ1_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.12/0.42 fof(f98,plain,(
% 0.12/0.42 sQ8_spl|sQ2_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.12/0.42 fof(f99,plain,(
% 0.12/0.42 sQ8_spl|sQ3_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.12/0.42 fof(f100,plain,(
% 0.12/0.42 sQ8_spl|sQ4_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.12/0.42 fof(f101,plain,(
% 0.12/0.42 sQ8_spl|sQ5_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.12/0.42 fof(f102,plain,(
% 0.12/0.42 sQ8_spl|sQ6_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.12/0.42 fof(f103,definition,(
% 0.12/0.42 sQ9_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f104,plain,(
% 0.12/0.42 multiply(sk_c7,sk_c5)=sk_c6|~sQ9_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f103])).
% 0.12/0.42 fof(f105,plain,(
% 0.12/0.42 ~multiply(sk_c7,sk_c5)=sk_c6|sQ9_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f103])).
% 0.12/0.42 fof(f106,plain,(
% 0.12/0.42 sQ9_spl|sQ1_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.12/0.42 fof(f107,plain,(
% 0.12/0.42 sQ9_spl|sQ2_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.12/0.42 fof(f108,plain,(
% 0.12/0.42 sQ9_spl|sQ3_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.12/0.42 fof(f109,plain,(
% 0.12/0.42 sQ9_spl|sQ4_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.12/0.42 fof(f110,plain,(
% 0.12/0.42 sQ9_spl|sQ5_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.12/0.42 fof(f111,plain,(
% 0.12/0.42 sQ9_spl|sQ6_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.12/0.42 fof(f112,definition,(
% 0.12/0.42 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f113,plain,(
% 0.12/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.12/0.42 inference(component_clause,[status(thm)],[f112])).
% 0.12/0.42 fof(f115,definition,(
% 0.12/0.42 ![X1]: (sQ11_spl <=> (~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f116,plain,(
% 0.12/0.42 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ11_spl)),
% 0.12/0.42 inference(component_clause,[status(thm)],[f115])).
% 0.12/0.42 fof(f118,definition,(
% 0.12/0.42 ![X2,X3]: (sQ12_spl <=> (~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c6))),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f119,plain,(
% 0.12/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c6|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c6|~sQ12_spl)),
% 0.12/0.42 inference(component_clause,[status(thm)],[f118])).
% 0.12/0.42 fof(f121,plain,(
% 0.12/0.42 ~sQ0_spl|sQ10_spl|~sQ9_spl|~sQ1_spl|sQ11_spl|sQ12_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f57,f58,f112,f103,f61,f115,f118])).
% 0.12/0.42 fof(f122,plain,(
% 0.12/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c6|~sQ12_spl)),
% 0.12/0.42 inference(destructive_equality_resolution,[status(thm)],[f119])).
% 0.12/0.42 fof(f128,plain,(
% 0.12/0.42 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ6_spl)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f82,f31])).
% 0.12/0.42 fof(f129,plain,(
% 0.12/0.42 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ7_spl)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f86,f31])).
% 0.12/0.42 fof(f158,plain,(
% 0.12/0.42 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|~multiply(sk_c4,sk_c7)=sk_c6|~sQ12_spl|~sQ5_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f78,f122])).
% 0.12/0.42 fof(f159,plain,(
% 0.12/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|~multiply(sk_c7,sk_c7)=sk_c6|~sQ12_spl|~sQ8_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f95,f122])).
% 0.12/0.42 fof(f163,definition,(
% 0.12/0.42 sQ14_spl <=> (multiply(sk_c7,sk_c7)=sk_c6)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f165,plain,(
% 0.12/0.42 ~multiply(sk_c7,sk_c7)=sk_c6|sQ14_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f163])).
% 0.12/0.42 fof(f167,definition,(
% 0.12/0.42 sQ15_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c6)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f169,plain,(
% 0.12/0.42 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|sQ15_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f167])).
% 0.12/0.42 fof(f170,plain,(
% 0.12/0.42 ~sQ15_spl|~sQ6_spl|~sQ12_spl|~sQ5_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f158,f167,f81,f118,f77])).
% 0.12/0.42 fof(f171,definition,(
% 0.12/0.42 sQ16_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c6)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f173,plain,(
% 0.12/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|sQ16_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f171])).
% 0.12/0.42 fof(f174,plain,(
% 0.12/0.42 ~sQ16_spl|~sQ14_spl|~sQ12_spl|~sQ8_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f159,f171,f163,f118,f94])).
% 0.12/0.42 fof(f175,plain,(
% 0.12/0.42 ~multiply(sk_c1,sk_c7)=sk_c6|~sQ8_spl|sQ16_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f95,f173])).
% 0.12/0.42 fof(f176,plain,(
% 0.12/0.42 ~sk_c6=sk_c6|~sQ7_spl|~sQ8_spl|sQ16_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f86,f175])).
% 0.12/0.42 fof(f177,plain,(
% 0.12/0.42 $false|~sQ7_spl|~sQ8_spl|sQ16_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f176])).
% 0.12/0.42 fof(f178,plain,(
% 0.12/0.42 ~sQ7_spl|~sQ8_spl|sQ16_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f177])).
% 0.12/0.42 fof(f181,plain,(
% 0.12/0.42 ~inverse(sk_c2)=sk_c7|~sk_c7=sk_c7|~sQ11_spl|~sQ3_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f70,f116])).
% 0.12/0.42 fof(f182,definition,(
% 0.12/0.42 sQ17_spl <=> (sk_c7=sk_c7)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f184,plain,(
% 0.12/0.42 ~sk_c7=sk_c7|sQ17_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f182])).
% 0.12/0.42 fof(f185,plain,(
% 0.12/0.42 ~sQ2_spl|~sQ17_spl|~sQ11_spl|~sQ3_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f181,f65,f182,f115,f69])).
% 0.12/0.42 fof(f186,plain,(
% 0.12/0.42 $false|sQ17_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f184])).
% 0.12/0.42 fof(f187,plain,(
% 0.12/0.42 sQ17_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f186])).
% 0.12/0.42 fof(f191,plain,(
% 0.12/0.42 multiply(sk_c7,sk_c1)=identity|~sQ8_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f95,f30])).
% 0.12/0.42 fof(f192,plain,(
% 0.12/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.12/0.42 fof(f193,plain,(
% 0.12/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f29,f192])).
% 0.12/0.42 fof(f204,plain,(
% 0.12/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~sQ8_spl)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f191,f31])).
% 0.12/0.42 fof(f205,plain,(
% 0.12/0.42 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~sQ8_spl)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f29,f204])).
% 0.12/0.42 fof(f215,plain,(
% 0.12/0.42 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f29,f193])).
% 0.12/0.42 fof(f222,plain,(
% 0.12/0.42 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ3_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f70,f193])).
% 0.12/0.42 fof(f225,plain,(
% 0.12/0.42 sk_c4=multiply(inverse(sk_c3),sk_c6)|~sQ4_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f74,f193])).
% 0.12/0.42 fof(f228,plain,(
% 0.12/0.42 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f66,f222])).
% 0.12/0.42 fof(f231,plain,(
% 0.12/0.42 sk_c4=multiply(sk_c4,sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f78,f225])).
% 0.12/0.42 fof(f241,plain,(
% 0.12/0.42 multiply(sk_c6,sk_c7)=multiply(sk_c4,sk_c6)|~sQ6_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f228,f128])).
% 0.12/0.42 fof(f249,plain,(
% 0.12/0.42 sk_c5=multiply(sk_c4,sk_c6)|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f62,f241])).
% 0.12/0.42 fof(f267,plain,(
% 0.12/0.42 sk_c6=multiply(inverse(sk_c4),sk_c4)|~sQ5_spl|~sQ4_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f231,f193])).
% 0.12/0.42 fof(f270,plain,(
% 0.12/0.42 sk_c6=identity|~sQ5_spl|~sQ4_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f30,f267])).
% 0.12/0.42 fof(f276,plain,(
% 0.12/0.42 ![X0]: (multiply(sk_c6,X0)=X0|~sQ5_spl|~sQ4_spl)),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f270,f29])).
% 0.12/0.42 fof(f278,plain,(
% 0.12/0.42 sk_c7=sk_c5|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f276,f62])).
% 0.12/0.42 fof(f285,plain,(
% 0.12/0.42 sk_c6=multiply(sk_c7,sk_c5)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f278,f228])).
% 0.12/0.42 fof(f286,plain,(
% 0.12/0.42 ~multiply(sk_c5,sk_c6)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f278,f60])).
% 0.12/0.42 fof(f293,plain,(
% 0.12/0.42 sk_c6=multiply(sk_c5,sk_c5)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f278,f285])).
% 0.12/0.42 fof(f304,plain,(
% 0.12/0.42 sk_c7=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f307,f278])).
% 0.12/0.42 fof(f307,plain,(
% 0.12/0.42 sk_c5=sk_c4|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f231,f249])).
% 0.12/0.42 fof(f322,plain,(
% 0.12/0.42 ~multiply(sk_c4,sk_c6)=sk_c5|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f307,f286])).
% 0.12/0.42 fof(f323,plain,(
% 0.12/0.42 ~sk_c4=sk_c5|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f231,f322])).
% 0.12/0.42 fof(f324,plain,(
% 0.12/0.42 ~sk_c4=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f307,f323])).
% 0.12/0.42 fof(f325,plain,(
% 0.12/0.42 $false|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f324])).
% 0.12/0.42 fof(f326,plain,(
% 0.12/0.42 ~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f325])).
% 0.12/0.42 fof(f329,plain,(
% 0.12/0.42 ~multiply(sk_c3,sk_c4)=sk_c6|~sQ5_spl|sQ15_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f78,f169])).
% 0.12/0.42 fof(f330,plain,(
% 0.12/0.42 ~sk_c6=sk_c6|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f74,f329])).
% 0.12/0.42 fof(f331,plain,(
% 0.12/0.42 $false|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f330])).
% 0.12/0.42 fof(f332,plain,(
% 0.12/0.42 ~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f331])).
% 0.12/0.42 fof(f345,plain,(
% 0.12/0.42 ![X0]: (~multiply(X0,sk_c4)=sk_c6|~inverse(X0)=sk_c7|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ10_spl)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f304,f113])).
% 0.12/0.42 fof(f346,plain,(
% 0.12/0.42 ![X0]: (~multiply(X0,sk_c4)=sk_c6|~inverse(X0)=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ10_spl)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f304,f345])).
% 0.12/0.42 fof(f356,plain,(
% 0.12/0.42 sk_c6=multiply(sk_c4,sk_c5)|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f307,f293])).
% 0.12/0.42 fof(f357,plain,(
% 0.12/0.42 sk_c6=multiply(sk_c4,sk_c4)|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f307,f356])).
% 0.12/0.42 fof(f380,plain,(
% 0.12/0.42 ~inverse(sk_c3)=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ10_spl|~sQ4_spl),
% 0.12/0.42 inference(resolution,[status(thm)],[f346,f74])).
% 0.12/0.42 fof(f388,plain,(
% 0.12/0.42 ~sk_c4=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ10_spl|~sQ4_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f78,f380])).
% 0.12/0.42 fof(f389,plain,(
% 0.12/0.42 $false|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ10_spl|~sQ4_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f388])).
% 0.12/0.42 fof(f390,plain,(
% 0.12/0.42 ~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ10_spl|~sQ4_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f389])).
% 0.12/0.42 fof(f394,plain,(
% 0.12/0.42 ~sk_c6=sk_c6|~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ7_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f86,f113])).
% 0.12/0.42 fof(f396,definition,(
% 0.12/0.42 sQ18_spl <=> (sk_c6=sk_c6)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f398,plain,(
% 0.12/0.42 ~sk_c6=sk_c6|sQ18_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f396])).
% 0.12/0.42 fof(f399,plain,(
% 0.12/0.42 ~sQ18_spl|~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f394,f396,f94,f112,f85])).
% 0.12/0.42 fof(f400,plain,(
% 0.12/0.42 $false|sQ18_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f398])).
% 0.12/0.42 fof(f401,plain,(
% 0.12/0.42 sQ18_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f400])).
% 0.12/0.42 fof(f409,plain,(
% 0.12/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f193,f215])).
% 0.12/0.42 fof(f418,plain,(
% 0.12/0.42 sk_c7=multiply(sk_c7,sk_c6)|~sQ8_spl|~sQ7_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f86,f205])).
% 0.12/0.42 fof(f421,plain,(
% 0.12/0.42 sk_c7=sk_c5|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f59,f418])).
% 0.12/0.42 fof(f424,plain,(
% 0.12/0.42 ~multiply(sk_c6,sk_c5)=sk_c5|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f421,f63])).
% 0.12/0.42 fof(f427,plain,(
% 0.12/0.42 multiply(sk_c5,sk_c5)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f421,f104])).
% 0.12/0.42 fof(f428,plain,(
% 0.12/0.42 ~multiply(sk_c7,sk_c5)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f421,f165])).
% 0.12/0.42 fof(f429,plain,(
% 0.12/0.42 multiply(sk_c5,sk_c6)=sk_c5|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f421,f59])).
% 0.12/0.42 fof(f430,plain,(
% 0.12/0.42 inverse(sk_c1)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f421,f95])).
% 0.12/0.42 fof(f433,plain,(
% 0.12/0.42 ~multiply(sk_c5,sk_c5)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f421,f428])).
% 0.12/0.42 fof(f438,plain,(
% 0.12/0.42 multiply(sk_c5,sk_c1)=identity|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f430,f30])).
% 0.12/0.42 fof(f448,plain,(
% 0.12/0.42 ~sk_c6=sk_c6|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f427,f433])).
% 0.12/0.42 fof(f449,plain,(
% 0.12/0.42 $false|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f448])).
% 0.12/0.42 fof(f450,plain,(
% 0.12/0.42 ~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f449])).
% 0.12/0.42 fof(f453,plain,(
% 0.12/0.42 sk_c6=multiply(inverse(sk_c5),sk_c5)|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f429,f193])).
% 0.12/0.42 fof(f455,plain,(
% 0.12/0.42 sk_c6=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f30,f453])).
% 0.12/0.42 fof(f458,plain,(
% 0.12/0.42 ![X0]: (multiply(sk_c6,X0)=X0|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f455,f409])).
% 0.12/0.42 fof(f460,plain,(
% 0.12/0.42 ~sk_c5=sk_c5|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f458,f424])).
% 0.12/0.42 fof(f463,plain,(
% 0.12/0.42 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f460])).
% 0.12/0.42 fof(f464,plain,(
% 0.12/0.42 ~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f463])).
% 0.12/0.42 fof(f475,plain,(
% 0.12/0.42 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f421,f116])).
% 0.12/0.42 fof(f476,plain,(
% 0.12/0.42 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c5|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f421,f475])).
% 0.12/0.42 fof(f483,plain,(
% 0.12/0.42 multiply(sk_c5,sk_c1)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f455,f438])).
% 0.12/0.42 fof(f513,definition,(
% 0.12/0.42 sQ22_spl <=> (sk_c5=sk_c5)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f515,plain,(
% 0.12/0.42 ~sk_c5=sk_c5|sQ22_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f513])).
% 0.12/0.42 fof(f522,plain,(
% 0.12/0.42 $false|sQ22_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f515])).
% 0.12/0.42 fof(f523,plain,(
% 0.12/0.42 sQ22_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f522])).
% 0.12/0.42 fof(f524,plain,(
% 0.12/0.42 ![X0]: (X0=multiply(sk_c1,multiply(sk_c7,X0))|~sQ8_spl|~sQ0_spl|~sQ7_spl)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f458,f129])).
% 0.12/0.42 fof(f525,plain,(
% 0.12/0.42 ![X0]: (X0=multiply(sk_c1,multiply(sk_c5,X0))|~sQ8_spl|~sQ0_spl|~sQ7_spl)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f421,f524])).
% 0.12/0.42 fof(f526,plain,(
% 0.12/0.42 sk_c1=multiply(sk_c1,sk_c6)|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f483,f525])).
% 0.12/0.42 fof(f528,plain,(
% 0.12/0.42 sk_c5=multiply(sk_c1,sk_c6)|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f427,f525])).
% 0.12/0.42 fof(f532,plain,(
% 0.12/0.42 ~inverse(sk_c1)=sk_c5|~sk_c1=sk_c5|~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f526,f476])).
% 0.12/0.42 fof(f535,definition,(
% 0.12/0.42 sQ24_spl <=> (inverse(sk_c1)=sk_c5)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f537,plain,(
% 0.12/0.42 ~inverse(sk_c1)=sk_c5|sQ24_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f535])).
% 0.12/0.42 fof(f538,definition,(
% 0.12/0.42 sQ25_spl <=> (sk_c1=sk_c5)),
% 0.12/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.42 fof(f540,plain,(
% 0.12/0.42 ~sk_c1=sk_c5|sQ25_spl),
% 0.12/0.42 inference(component_clause,[status(thm)],[f538])).
% 0.12/0.42 fof(f541,plain,(
% 0.12/0.42 ~sQ24_spl|~sQ25_spl|~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.42 inference(split_clause,[status(thm)],[f532,f535,f538,f115,f58,f85,f94])).
% 0.12/0.42 fof(f542,plain,(
% 0.12/0.42 ~sk_c5=sk_c5|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ24_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f430,f537])).
% 0.12/0.42 fof(f543,plain,(
% 0.12/0.42 $false|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ24_spl),
% 0.12/0.42 inference(trivial_equality_resolution,[status(thm)],[f542])).
% 0.12/0.42 fof(f544,plain,(
% 0.12/0.42 ~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ24_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f543])).
% 0.12/0.42 fof(f545,plain,(
% 0.12/0.42 sk_c5=sk_c1|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f526,f528])).
% 0.12/0.42 fof(f546,plain,(
% 0.12/0.42 $false|sQ25_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f545,f540])).
% 0.12/0.42 fof(f547,plain,(
% 0.12/0.42 sQ25_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f546])).
% 0.12/0.42 fof(f586,plain,(
% 0.12/0.42 ~multiply(sk_c4,sk_c5)=sk_c6|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ9_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f304,f105])).
% 0.12/0.42 fof(f587,plain,(
% 0.12/0.42 ~multiply(sk_c4,sk_c4)=sk_c6|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ9_spl),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f307,f586])).
% 0.12/0.42 fof(f591,plain,(
% 0.12/0.42 $false|sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f357,f587])).
% 0.12/0.42 fof(f592,plain,(
% 0.12/0.42 sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.12/0.42 inference(contradiction_clause,[status(thm)],[f591])).
% 0.12/0.42 fof(f593,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 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,f121,f170,f174,f178,f185,f187,f326,f332,f390,f399,f401,f450,f464,f523,f541,f544,f547,f592])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.46 % Elapsed time: 0.088014 seconds
% 0.12/0.46 % CPU time: 0.283848 seconds
% 0.12/0.46 % Total memory used: 104.171 MB
% 0.12/0.46 % Net memory used: 103.910 MB
%------------------------------------------------------------------------------