%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP234-1 : 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 : n007.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 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP234-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:05:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f1,axiom,(
% 0.13/0.43 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f2,axiom,(
% 0.13/0.43 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f3,axiom,(
% 0.13/0.43 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f4,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f5,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f6,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f7,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f8,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f9,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f10,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f11,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f12,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f13,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f14,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f15,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f16,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f17,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f18,negated_conjecture,(
% 0.13/0.43 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f19,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f20,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f21,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c2) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f22,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f23,negated_conjecture,(
% 0.13/0.43 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f24,negated_conjecture,(
% 0.13/0.43 (![X3,X4,X1,X2,X5]: (( inverse(sk_c7) != sk_c6| multiply(X3,sk_c7) != sk_c6| multiply(X4,sk_c7) != sk_c6| inverse(X4) != sk_c7| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(sk_c7,X2) != sk_c6| multiply(X5,sk_c7) != X2| inverse(X5) != sk_c7 ) ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f25,plain,(
% 0.13/0.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.43 fof(f26,plain,(
% 0.13/0.43 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.43 fof(f27,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.43 fof(f28,plain,(
% 0.13/0.43 inverse(sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.43 fof(f29,plain,(
% 0.13/0.43 inverse(sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.43 fof(f30,plain,(
% 0.13/0.43 inverse(sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.43 fof(f31,plain,(
% 0.13/0.43 inverse(sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.43 fof(f32,plain,(
% 0.13/0.43 inverse(sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.43 fof(f33,plain,(
% 0.13/0.43 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.43 fof(f34,plain,(
% 0.13/0.43 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.43 fof(f35,plain,(
% 0.13/0.43 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.43 fof(f36,plain,(
% 0.13/0.43 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.43 fof(f37,plain,(
% 0.13/0.43 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.43 fof(f38,plain,(
% 0.13/0.43 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.43 fof(f39,plain,(
% 0.13/0.43 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.43 fof(f40,plain,(
% 0.13/0.43 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.43 fof(f41,plain,(
% 0.13/0.43 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.43 fof(f42,plain,(
% 0.13/0.43 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.43 fof(f43,plain,(
% 0.13/0.43 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.43 fof(f44,plain,(
% 0.13/0.43 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.43 fof(f45,plain,(
% 0.13/0.43 inverse(sk_c2)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.43 fof(f46,plain,(
% 0.13/0.43 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.43 fof(f47,plain,(
% 0.13/0.43 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.43 fof(f48,plain,(
% 0.13/0.43 ![X5]: ((![X2]: (((![X1]: (((![X4]: (((~inverse(sk_c7)=sk_c6|(![X3]: ~multiply(X3,sk_c7)=sk_c6))|~multiply(X4,sk_c7)=sk_c6)|~inverse(X4)=sk_c7))|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(sk_c7,X2)=sk_c6)|~multiply(X5,sk_c7)=X2))|~inverse(X5)=sk_c7)),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.43 fof(f49,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4]: (~inverse(sk_c7)=sk_c6|~multiply(X0,sk_c7)=sk_c6|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.43 fof(f50,definition,(
% 0.13/0.43 sQ0_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f51,plain,(
% 0.13/0.43 inverse(sk_c7)=sk_c6|~sQ0_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f50])).
% 0.13/0.43 fof(f52,plain,(
% 0.13/0.43 ~inverse(sk_c7)=sk_c6|sQ0_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f50])).
% 0.13/0.43 fof(f53,definition,(
% 0.13/0.43 sQ1_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f54,plain,(
% 0.13/0.43 inverse(sk_c3)=sk_c7|~sQ1_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f53])).
% 0.13/0.43 fof(f56,plain,(
% 0.13/0.43 sQ0_spl|sQ1_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.13/0.43 fof(f57,definition,(
% 0.13/0.43 sQ2_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f58,plain,(
% 0.13/0.43 multiply(sk_c3,sk_c6)=sk_c7|~sQ2_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f57])).
% 0.13/0.43 fof(f60,plain,(
% 0.13/0.43 sQ0_spl|sQ2_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.13/0.43 fof(f61,definition,(
% 0.13/0.43 sQ3_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f62,plain,(
% 0.13/0.43 multiply(sk_c7,sk_c5)=sk_c6|~sQ3_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f61])).
% 0.13/0.43 fof(f64,plain,(
% 0.13/0.43 sQ0_spl|sQ3_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.13/0.43 fof(f65,definition,(
% 0.13/0.43 sQ4_spl <=> (multiply(sk_c4,sk_c7)=sk_c5)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f66,plain,(
% 0.13/0.43 multiply(sk_c4,sk_c7)=sk_c5|~sQ4_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f65])).
% 0.13/0.43 fof(f68,plain,(
% 0.13/0.43 sQ0_spl|sQ4_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.13/0.43 fof(f69,definition,(
% 0.13/0.43 sQ5_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f70,plain,(
% 0.13/0.43 inverse(sk_c4)=sk_c7|~sQ5_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.43 fof(f72,plain,(
% 0.13/0.43 sQ0_spl|sQ5_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f32,f50,f69])).
% 0.13/0.43 fof(f73,definition,(
% 0.13/0.43 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f74,plain,(
% 0.13/0.43 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.43 fof(f76,plain,(
% 0.13/0.43 sQ6_spl|sQ1_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f33,f73,f53])).
% 0.13/0.43 fof(f77,plain,(
% 0.13/0.43 sQ6_spl|sQ2_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f34,f73,f57])).
% 0.13/0.43 fof(f78,plain,(
% 0.13/0.43 sQ6_spl|sQ3_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f35,f73,f61])).
% 0.13/0.43 fof(f79,plain,(
% 0.13/0.43 sQ6_spl|sQ4_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f36,f73,f65])).
% 0.13/0.43 fof(f80,plain,(
% 0.13/0.43 sQ6_spl|sQ5_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f37,f73,f69])).
% 0.13/0.43 fof(f81,definition,(
% 0.13/0.43 sQ7_spl <=> (multiply(sk_c2,sk_c7)=sk_c6)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f82,plain,(
% 0.13/0.43 multiply(sk_c2,sk_c7)=sk_c6|~sQ7_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.43 fof(f83,plain,(
% 0.13/0.43 ~multiply(sk_c2,sk_c7)=sk_c6|sQ7_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.43 fof(f84,plain,(
% 0.13/0.43 sQ7_spl|sQ1_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f38,f81,f53])).
% 0.13/0.43 fof(f85,plain,(
% 0.13/0.43 sQ7_spl|sQ2_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f39,f81,f57])).
% 0.13/0.43 fof(f86,plain,(
% 0.13/0.43 sQ7_spl|sQ3_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f40,f81,f61])).
% 0.13/0.43 fof(f87,plain,(
% 0.13/0.43 sQ7_spl|sQ4_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f41,f81,f65])).
% 0.13/0.43 fof(f88,plain,(
% 0.13/0.43 sQ7_spl|sQ5_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f42,f81,f69])).
% 0.13/0.43 fof(f89,definition,(
% 0.13/0.43 sQ8_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f90,plain,(
% 0.13/0.43 inverse(sk_c2)=sk_c7|~sQ8_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.43 fof(f92,plain,(
% 0.13/0.43 sQ8_spl|sQ1_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f43,f89,f53])).
% 0.13/0.43 fof(f93,plain,(
% 0.13/0.43 sQ8_spl|sQ2_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f44,f89,f57])).
% 0.13/0.43 fof(f94,plain,(
% 0.13/0.43 sQ8_spl|sQ3_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f45,f89,f61])).
% 0.13/0.43 fof(f95,plain,(
% 0.13/0.43 sQ8_spl|sQ4_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f46,f89,f65])).
% 0.13/0.43 fof(f96,plain,(
% 0.13/0.43 sQ8_spl|sQ5_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f47,f89,f69])).
% 0.13/0.43 fof(f97,definition,(
% 0.13/0.43 ![X0]: (sQ9_spl <=> (~multiply(X0,sk_c7)=sk_c6))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f98,plain,(
% 0.13/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~sQ9_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.43 fof(f100,definition,(
% 0.13/0.43 ![X1]: (sQ10_spl <=> (~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f101,plain,(
% 0.13/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f100])).
% 0.13/0.43 fof(f103,definition,(
% 0.13/0.43 ![X2]: (sQ11_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f104,plain,(
% 0.13/0.43 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ11_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.43 fof(f106,definition,(
% 0.13/0.43 ![X3,X4]: (sQ12_spl <=> (~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f107,plain,(
% 0.13/0.43 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ12_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f106])).
% 0.13/0.43 fof(f109,plain,(
% 0.13/0.43 ~sQ0_spl|sQ9_spl|sQ10_spl|sQ11_spl|sQ12_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f49,f50,f97,f100,f103,f106])).
% 0.13/0.43 fof(f110,plain,(
% 0.13/0.43 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.13/0.43 inference(destructive_equality_resolution,[status(thm)],[f107])).
% 0.13/0.43 fof(f112,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ6_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f74,f27])).
% 0.13/0.43 fof(f118,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~sQ2_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f58,f27])).
% 0.13/0.43 fof(f120,plain,(
% 0.13/0.43 multiply(sk_c6,sk_c7)=identity|~sQ0_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f51,f26])).
% 0.13/0.43 fof(f121,plain,(
% 0.13/0.43 multiply(sk_c7,sk_c3)=identity|~sQ1_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f54,f26])).
% 0.13/0.43 fof(f122,plain,(
% 0.13/0.43 multiply(sk_c7,sk_c4)=identity|~sQ5_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f70,f26])).
% 0.13/0.43 fof(f123,plain,(
% 0.13/0.43 multiply(sk_c7,sk_c2)=identity|~sQ8_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f90,f26])).
% 0.13/0.43 fof(f124,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f26,f27])).
% 0.13/0.43 fof(f125,plain,(
% 0.13/0.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f25,f124])).
% 0.13/0.43 fof(f126,plain,(
% 0.13/0.43 ~multiply(sk_c7,identity)=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~sQ12_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f26,f110])).
% 0.13/0.43 fof(f127,plain,(
% 0.13/0.43 ~multiply(sk_c7,sk_c7)=sk_c6|~inverse(identity)=sk_c7|~sQ12_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f25,f110])).
% 0.13/0.43 fof(f128,plain,(
% 0.13/0.43 ~multiply(sk_c7,sk_c5)=sk_c6|~inverse(sk_c4)=sk_c7|~sQ12_spl|~sQ4_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f66,f110])).
% 0.13/0.43 fof(f129,plain,(
% 0.13/0.43 ![X0,X1]: (~multiply(sk_c7,multiply(X0,multiply(X1,sk_c7)))=sk_c6|~inverse(multiply(X0,X1))=sk_c7|~sQ12_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f27,f110])).
% 0.13/0.43 fof(f130,plain,(
% 0.13/0.43 ~multiply(sk_c7,sk_c6)=sk_c6|~inverse(sk_c1)=sk_c7|~sQ12_spl|~sQ6_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f74,f110])).
% 0.13/0.43 fof(f131,plain,(
% 0.13/0.43 ~multiply(sk_c7,sk_c6)=sk_c6|~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ7_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f82,f110])).
% 0.13/0.43 fof(f132,definition,(
% 0.13/0.43 sQ13_spl <=> (multiply(sk_c7,identity)=sk_c6)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f135,definition,(
% 0.13/0.43 sQ14_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f138,plain,(
% 0.13/0.43 ~sQ13_spl|~sQ14_spl|~sQ12_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f126,f132,f135,f106])).
% 0.13/0.43 fof(f139,definition,(
% 0.13/0.43 sQ15_spl <=> (multiply(sk_c7,sk_c7)=sk_c6)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f142,definition,(
% 0.13/0.43 sQ16_spl <=> (inverse(identity)=sk_c7)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f145,plain,(
% 0.13/0.43 ~sQ15_spl|~sQ16_spl|~sQ12_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f127,f139,f142,f106])).
% 0.13/0.43 fof(f146,plain,(
% 0.13/0.43 ~sQ3_spl|~sQ5_spl|~sQ12_spl|~sQ4_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f128,f61,f69,f106,f65])).
% 0.13/0.43 fof(f147,definition,(
% 0.13/0.43 sQ17_spl <=> (multiply(sk_c7,sk_c6)=sk_c6)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f149,plain,(
% 0.13/0.43 ~multiply(sk_c7,sk_c6)=sk_c6|sQ17_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f147])).
% 0.13/0.43 fof(f150,definition,(
% 0.13/0.43 sQ18_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f153,plain,(
% 0.13/0.43 ~sQ17_spl|~sQ18_spl|~sQ12_spl|~sQ6_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f130,f147,f150,f106,f73])).
% 0.13/0.43 fof(f154,plain,(
% 0.13/0.43 ~sQ17_spl|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f131,f147,f89,f106,f81])).
% 0.13/0.43 fof(f156,plain,(
% 0.13/0.43 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ2_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f104,f58])).
% 0.13/0.43 fof(f161,plain,(
% 0.13/0.43 ~sk_c7=sk_c7|~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f54,f156])).
% 0.13/0.43 fof(f162,plain,(
% 0.13/0.43 $false|~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f161])).
% 0.13/0.43 fof(f163,plain,(
% 0.13/0.43 ~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f162])).
% 0.13/0.43 fof(f165,plain,(
% 0.13/0.43 ~inverse(sk_c2)=sk_c7|~sQ10_spl|~sQ7_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f101,f82])).
% 0.13/0.43 fof(f167,plain,(
% 0.13/0.43 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~sQ10_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f25,f101])).
% 0.13/0.43 fof(f171,plain,(
% 0.13/0.43 ~sk_c7=sk_c7|~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f90,f165])).
% 0.13/0.43 fof(f172,plain,(
% 0.13/0.43 $false|~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f171])).
% 0.13/0.43 fof(f173,plain,(
% 0.13/0.43 ~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f172])).
% 0.13/0.43 fof(f176,plain,(
% 0.13/0.43 ![X0,X1]: (~multiply(X0,multiply(X1,sk_c7))=sk_c6|~sQ9_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f27,f98])).
% 0.13/0.43 fof(f187,plain,(
% 0.13/0.43 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~sQ1_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f121,f27])).
% 0.13/0.43 fof(f188,plain,(
% 0.13/0.43 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~sQ1_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f25,f187])).
% 0.13/0.43 fof(f189,plain,(
% 0.13/0.43 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c4,X0))|~sQ5_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f122,f27])).
% 0.13/0.43 fof(f190,plain,(
% 0.13/0.43 ![X0]: (X0=multiply(sk_c7,multiply(sk_c4,X0))|~sQ5_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f25,f189])).
% 0.13/0.43 fof(f195,plain,(
% 0.13/0.43 ![X0]: (~multiply(X0,sk_c5)=sk_c6|~sQ9_spl|~sQ4_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f66,f176])).
% 0.13/0.43 fof(f199,plain,(
% 0.13/0.43 $false|~sQ9_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(backward_subsumption_resolution,[status(thm)],[f62,f195])).
% 0.13/0.43 fof(f203,plain,(
% 0.13/0.43 ~sQ9_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f199])).
% 0.13/0.43 fof(f219,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c7,X0))|~sQ1_spl|~sQ2_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f118,f188])).
% 0.13/0.43 fof(f225,plain,(
% 0.13/0.43 sk_c7=multiply(sk_c7,sk_c5)|~sQ5_spl|~sQ4_spl),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f66,f190])).
% 0.13/0.43 fof(f257,plain,(
% 0.13/0.43 sk_c7=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f225,f62])).
% 0.13/0.43 fof(f265,plain,(
% 0.13/0.43 ~multiply(sk_c2,sk_c7)=sk_c7|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ7_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f257,f83])).
% 0.13/0.43 fof(f266,plain,(
% 0.13/0.43 ~inverse(sk_c7)=sk_c7|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f257,f52])).
% 0.13/0.43 fof(f267,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f257,f118])).
% 0.13/0.43 fof(f292,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c7,multiply(sk_c4,X0))=multiply(sk_c3,X0)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f190,f267])).
% 0.13/0.43 fof(f303,plain,(
% 0.13/0.43 ![X0]: (X0=multiply(sk_c3,X0)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f190,f292])).
% 0.13/0.43 fof(f338,plain,(
% 0.13/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c7,multiply(sk_c7,X0))|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f257,f219])).
% 0.13/0.44 fof(f342,plain,(
% 0.13/0.44 ![X0]: (multiply(sk_c7,multiply(sk_c4,X0))=multiply(sk_c7,X0)|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f190,f338])).
% 0.13/0.44 fof(f353,plain,(
% 0.13/0.44 ![X0]: (X0=multiply(sk_c7,X0)|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f190,f342])).
% 0.13/0.44 fof(f397,plain,(
% 0.13/0.44 ![X0]: (X0=multiply(sk_c7,X0)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ1_spl)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f303,f188])).
% 0.13/0.44 fof(f405,plain,(
% 0.13/0.44 sk_c4=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f397,f122])).
% 0.13/0.44 fof(f406,plain,(
% 0.13/0.44 sk_c3=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ1_spl),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f397,f121])).
% 0.13/0.44 fof(f407,plain,(
% 0.13/0.44 sk_c2=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ1_spl|~sQ8_spl),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f397,f123])).
% 0.13/0.44 fof(f421,plain,(
% 0.13/0.44 inverse(identity)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f405,f70])).
% 0.13/0.44 fof(f428,plain,(
% 0.13/0.44 ~multiply(identity,sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ7_spl),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f407,f265])).
% 0.13/0.44 fof(f430,plain,(
% 0.13/0.44 ~sk_c7=sk_c7|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ7_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f25,f428])).
% 0.13/0.44 fof(f431,plain,(
% 0.13/0.44 $false|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ7_spl),
% 0.13/0.44 inference(trivial_equality_resolution,[status(thm)],[f430])).
% 0.13/0.44 fof(f432,plain,(
% 0.13/0.44 ~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ7_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f431])).
% 0.13/0.44 fof(f433,plain,(
% 0.13/0.44 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~sQ7_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f82,f27])).
% 0.13/0.44 fof(f438,plain,(
% 0.13/0.44 $false|~sQ9_spl|~sQ6_spl),
% 0.13/0.44 inference(backward_subsumption_resolution,[status(thm)],[f74,f98])).
% 0.13/0.44 fof(f443,plain,(
% 0.13/0.44 ~sQ9_spl|~sQ6_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f438])).
% 0.13/0.44 fof(f447,plain,(
% 0.13/0.44 multiply(identity,sk_c6)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f406,f58])).
% 0.13/0.44 fof(f450,plain,(
% 0.13/0.44 sk_c6=sk_c7|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f25,f447])).
% 0.13/0.44 fof(f605,plain,(
% 0.13/0.44 ![X0]: (X0=multiply(inverse(sk_c7),X0)|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f353,f125])).
% 0.13/0.44 fof(f641,plain,(
% 0.13/0.44 sk_c7=multiply(inverse(sk_c2),sk_c6)|~sQ7_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f82,f125])).
% 0.13/0.44 fof(f644,plain,(
% 0.13/0.44 sk_c7=multiply(sk_c7,sk_c6)|~sQ8_spl|~sQ7_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f90,f641])).
% 0.13/0.44 fof(f650,plain,(
% 0.13/0.44 ~multiply(sk_c7,identity)=sk_c6|~inverse(sk_c6)=sk_c7|~sQ12_spl|~sQ0_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f120,f110])).
% 0.13/0.44 fof(f653,definition,(
% 0.13/0.44 sQ19_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f656,plain,(
% 0.13/0.45 ~sQ13_spl|~sQ19_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f650,f132,f653,f106,f50])).
% 0.13/0.45 fof(f662,plain,(
% 0.13/0.45 ![X0]: (~multiply(sk_c7,sk_c7)=sk_c6|~inverse(multiply(inverse(X0),X0))=sk_c7|~sQ12_spl)),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f125,f129])).
% 0.13/0.45 fof(f663,plain,(
% 0.13/0.45 ![X0]: (~multiply(sk_c7,identity)=sk_c6|~inverse(multiply(inverse(multiply(X0,sk_c7)),X0))=sk_c7|~sQ12_spl)),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f26,f129])).
% 0.13/0.45 fof(f672,definition,(
% 0.13/0.45 ![X0]: (sQ20_spl <=> (~inverse(multiply(inverse(X0),X0))=sk_c7))),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f675,plain,(
% 0.13/0.45 ~sQ15_spl|sQ20_spl|~sQ12_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f662,f139,f672,f106])).
% 0.13/0.45 fof(f676,definition,(
% 0.13/0.45 ![X0]: (sQ21_spl <=> (~inverse(multiply(inverse(multiply(X0,sk_c7)),X0))=sk_c7))),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f679,plain,(
% 0.13/0.45 ~sQ13_spl|sQ21_spl|~sQ12_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f663,f132,f676,f106])).
% 0.13/0.45 fof(f685,plain,(
% 0.13/0.45 ~multiply(sk_c7,multiply(sk_c6,sk_c7))=sk_c6|~inverse(multiply(sk_c1,sk_c7))=sk_c7|~sQ12_spl|~sQ6_spl),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f112,f129])).
% 0.13/0.45 fof(f688,definition,(
% 0.13/0.45 sQ22_spl <=> (multiply(sk_c7,multiply(sk_c6,sk_c7))=sk_c6)),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f691,definition,(
% 0.13/0.45 sQ23_spl <=> (inverse(multiply(sk_c1,sk_c7))=sk_c7)),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f694,plain,(
% 0.13/0.45 ~sQ22_spl|~sQ23_spl|~sQ12_spl|~sQ6_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f685,f688,f691,f106,f73])).
% 0.13/0.45 fof(f712,plain,(
% 0.13/0.45 ~multiply(sk_c7,multiply(sk_c6,sk_c7))=sk_c6|~inverse(multiply(sk_c2,sk_c7))=sk_c7|~sQ12_spl|~sQ7_spl),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f433,f129])).
% 0.13/0.45 fof(f715,definition,(
% 0.13/0.45 sQ24_spl <=> (inverse(multiply(sk_c2,sk_c7))=sk_c7)),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f718,plain,(
% 0.13/0.45 ~sQ22_spl|~sQ24_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f712,f688,f715,f106,f81])).
% 0.13/0.45 fof(f723,plain,(
% 0.13/0.45 ~sk_c7=sk_c6|~sQ8_spl|~sQ7_spl|sQ17_spl),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f644,f149])).
% 0.13/0.45 fof(f726,plain,(
% 0.13/0.45 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f644,f125])).
% 0.13/0.45 fof(f730,plain,(
% 0.13/0.45 sk_c6=identity|~sQ8_spl|~sQ7_spl),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f26,f726])).
% 0.13/0.45 fof(f731,plain,(
% 0.13/0.45 ~sk_c7=identity|~sQ8_spl|~sQ7_spl|sQ17_spl),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f730,f723])).
% 0.13/0.45 fof(f736,plain,(
% 0.13/0.45 multiply(identity,sk_c7)=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f730,f120])).
% 0.13/0.45 fof(f745,plain,(
% 0.13/0.45 inverse(sk_c7)=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f730,f51])).
% 0.13/0.45 fof(f748,plain,(
% 0.13/0.45 sk_c7=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f25,f736])).
% 0.13/0.45 fof(f749,plain,(
% 0.13/0.45 $false|sQ17_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f748,f731])).
% 0.13/0.45 fof(f750,plain,(
% 0.13/0.45 sQ17_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.45 inference(contradiction_clause,[status(thm)],[f749])).
% 0.13/0.45 fof(f753,plain,(
% 0.13/0.45 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,identity)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f730,f104])).
% 0.13/0.45 fof(f761,definition,(
% 0.13/0.45 sQ27_spl <=> (sk_c6=sk_c7)),
% 0.13/0.45 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.45 fof(f780,plain,(
% 0.13/0.45 inverse(identity)=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f748,f745])).
% 0.13/0.45 fof(f785,plain,(
% 0.13/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f748,f753])).
% 0.13/0.45 fof(f786,plain,(
% 0.13/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f748,f785])).
% 0.13/0.45 fof(f789,plain,(
% 0.13/0.45 ~inverse(inverse(identity))=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.13/0.45 inference(resolution,[status(thm)],[f786,f26])).
% 0.13/0.45 fof(f796,plain,(
% 0.13/0.45 ~inverse(identity)=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f780,f789])).
% 0.13/0.45 fof(f797,plain,(
% 0.13/0.45 ~identity=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f780,f796])).
% 0.13/0.45 fof(f798,plain,(
% 0.13/0.45 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.13/0.45 inference(trivial_equality_resolution,[status(thm)],[f797])).
% 0.13/0.45 fof(f799,plain,(
% 0.13/0.45 ~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.13/0.45 inference(contradiction_clause,[status(thm)],[f798])).
% 0.13/0.45 fof(f804,plain,(
% 0.13/0.45 ~sQ27_spl|~sQ16_spl|~sQ10_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f167,f761,f142,f100])).
% 0.13/0.45 fof(f820,plain,(
% 0.13/0.45 multiply(sk_c3,sk_c7)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f450,f58])).
% 0.13/0.45 fof(f826,plain,(
% 0.13/0.45 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ10_spl)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f450,f101])).
% 0.13/0.45 fof(f827,plain,(
% 0.13/0.45 ~inverse(sk_c3)=sk_c7|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.45 inference(resolution,[status(thm)],[f826,f820])).
% 0.13/0.45 fof(f835,plain,(
% 0.13/0.45 ~sQ1_spl|~sQ10_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl),
% 0.13/0.45 inference(split_clause,[status(thm)],[f827,f53,f100,f65,f61,f69,f57])).
% 0.13/0.45 fof(f850,plain,(
% 0.13/0.45 sk_c7=identity|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f26,f605])).
% 0.13/0.45 fof(f927,plain,(
% 0.13/0.45 ~inverse(sk_c7)=identity|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f850,f266])).
% 0.13/0.45 fof(f933,plain,(
% 0.13/0.45 inverse(identity)=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f850,f421])).
% 0.13/0.45 fof(f934,plain,(
% 0.13/0.45 ~inverse(identity)=identity|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f850,f927])).
% 0.13/0.45 fof(f938,plain,(
% 0.13/0.45 $false|sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f933,f934])).
% 0.13/0.45 fof(f939,plain,(
% 0.13/0.45 sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.13/0.45 inference(contradiction_clause,[status(thm)],[f938])).
% 0.13/0.45 fof(f940,plain,(
% 0.13/0.45 $false),
% 0.13/0.45 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f76,f77,f78,f79,f80,f84,f85,f86,f87,f88,f92,f93,f94,f95,f96,f109,f138,f145,f146,f153,f154,f163,f173,f203,f432,f443,f656,f675,f679,f694,f718,f750,f799,f804,f835,f939])).
% 0.13/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.088336 seconds
% 0.13/0.46 % CPU time: 0.422539 seconds
% 0.13/0.46 % Total memory used: 94.572 MB
% 0.13/0.46 % Net memory used: 94.385 MB
%------------------------------------------------------------------------------