%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP216-1 : 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 : n019.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 12:36:16 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP216-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:06:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,axiom,(
% 0.11/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f2,axiom,(
% 0.11/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f3,axiom,(
% 0.11/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f4,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c7) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f5,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f6,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f7,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f8,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f10,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f11,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f12,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f13,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f14,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f15,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f16,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f17,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f18,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f19,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f20,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f21,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f22,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c7) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f23,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f24,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f25,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f26,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f27,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f28,negated_conjecture,(
% 0.11/0.41 (![X3,X4,X1,X2,X5]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c7| inverse(X4) != sk_c6| inverse(sk_c7) != sk_c6| 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 ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f29,plain,(
% 0.11/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.41 fof(f30,plain,(
% 0.11/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.41 fof(f31,plain,(
% 0.11/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.41 fof(f32,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c7)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.41 fof(f33,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.41 fof(f34,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.41 fof(f35,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.41 fof(f36,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.41 fof(f37,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.41 fof(f38,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.41 fof(f39,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.41 fof(f40,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.41 fof(f41,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.41 fof(f42,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.41 fof(f43,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.41 fof(f44,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f45,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.41 fof(f46,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.41 fof(f47,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.41 fof(f48,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.41 fof(f49,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.41 fof(f50,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c7)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.41 fof(f51,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.41 fof(f52,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.41 fof(f53,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.41 fof(f54,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.41 fof(f55,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.41 fof(f56,plain,(
% 0.11/0.41 ![X5]: ((![X2]: (((![X1]: ((((![X4]: (((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c7)|~inverse(X4)=sk_c6))|~inverse(sk_c7)=sk_c6)|~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)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f28])).
% 0.11/0.41 fof(f57,plain,(
% 0.11/0.41 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~inverse(sk_c7)=sk_c6|~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)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f56])).
% 0.11/0.41 fof(f58,definition,(
% 0.11/0.41 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f59,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f58])).
% 0.11/0.41 fof(f61,definition,(
% 0.11/0.41 sQ1_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f62,plain,(
% 0.11/0.41 inverse(sk_c7)=sk_c6|~sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f61])).
% 0.11/0.41 fof(f63,plain,(
% 0.11/0.41 ~inverse(sk_c7)=sk_c6|sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f61])).
% 0.11/0.41 fof(f64,plain,(
% 0.11/0.41 sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.11/0.41 fof(f65,definition,(
% 0.11/0.41 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f66,plain,(
% 0.11/0.41 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f65])).
% 0.11/0.41 fof(f68,plain,(
% 0.11/0.41 sQ0_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.11/0.41 fof(f69,definition,(
% 0.11/0.41 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f70,plain,(
% 0.11/0.41 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f69])).
% 0.11/0.41 fof(f72,plain,(
% 0.11/0.41 sQ0_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.11/0.41 fof(f73,definition,(
% 0.11/0.41 sQ4_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f74,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c5)=sk_c6|~sQ4_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.11/0.41 fof(f76,plain,(
% 0.11/0.41 sQ0_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.11/0.41 fof(f77,definition,(
% 0.11/0.41 sQ5_spl <=> (multiply(sk_c4,sk_c7)=sk_c5)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f78,plain,(
% 0.11/0.41 multiply(sk_c4,sk_c7)=sk_c5|~sQ5_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.11/0.41 fof(f80,plain,(
% 0.11/0.41 sQ0_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.11/0.41 fof(f81,definition,(
% 0.11/0.41 sQ6_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f82,plain,(
% 0.11/0.41 inverse(sk_c4)=sk_c7|~sQ6_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.11/0.41 fof(f84,plain,(
% 0.11/0.41 sQ0_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.11/0.41 fof(f85,definition,(
% 0.11/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f86,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.11/0.41 fof(f88,plain,(
% 0.11/0.41 sQ7_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.11/0.41 fof(f89,plain,(
% 0.11/0.41 sQ7_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.11/0.41 fof(f90,plain,(
% 0.11/0.41 sQ7_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.11/0.41 fof(f91,plain,(
% 0.11/0.41 sQ7_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.11/0.41 fof(f92,plain,(
% 0.11/0.41 sQ7_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.11/0.41 fof(f93,plain,(
% 0.11/0.41 sQ7_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.11/0.41 fof(f94,definition,(
% 0.11/0.41 sQ8_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f95,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c6)=sk_c7|~sQ8_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f94])).
% 0.11/0.41 fof(f97,plain,(
% 0.11/0.41 sQ8_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.11/0.41 fof(f98,plain,(
% 0.11/0.41 sQ8_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.11/0.41 fof(f99,plain,(
% 0.11/0.41 sQ8_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.11/0.41 fof(f100,plain,(
% 0.11/0.41 sQ8_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.11/0.41 fof(f101,plain,(
% 0.11/0.41 sQ8_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.11/0.41 fof(f102,plain,(
% 0.11/0.41 sQ8_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.11/0.41 fof(f103,definition,(
% 0.11/0.41 sQ9_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f104,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c6|~sQ9_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f103])).
% 0.11/0.41 fof(f106,plain,(
% 0.11/0.41 sQ9_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.11/0.41 fof(f107,plain,(
% 0.11/0.41 sQ9_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.11/0.41 fof(f108,plain,(
% 0.11/0.41 sQ9_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.11/0.41 fof(f109,plain,(
% 0.11/0.41 sQ9_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.11/0.41 fof(f110,plain,(
% 0.11/0.41 sQ9_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.11/0.41 fof(f111,plain,(
% 0.11/0.41 sQ9_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.11/0.41 fof(f112,definition,(
% 0.11/0.41 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f113,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f112])).
% 0.11/0.41 fof(f115,definition,(
% 0.11/0.41 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f116,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.11/0.41 fof(f118,definition,(
% 0.11/0.41 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f119,plain,(
% 0.11/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.11/0.41 fof(f121,definition,(
% 0.11/0.41 ![X3,X4]: (sQ13_spl <=> (~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f122,plain,(
% 0.11/0.41 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ13_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.11/0.41 fof(f124,plain,(
% 0.11/0.41 sQ10_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f57,f112,f115,f61,f118,f121])).
% 0.11/0.41 fof(f125,plain,(
% 0.11/0.41 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.11/0.41 inference(destructive_equality_resolution,[status(thm)],[f122])).
% 0.11/0.41 fof(f157,plain,(
% 0.11/0.41 ~multiply(sk_c7,sk_c5)=sk_c6|~inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ5_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f78,f125])).
% 0.11/0.41 fof(f158,plain,(
% 0.11/0.41 ~multiply(sk_c7,sk_c6)=sk_c6|~inverse(sk_c1)=sk_c7|~sQ13_spl|~sQ0_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f59,f125])).
% 0.11/0.41 fof(f159,definition,(
% 0.11/0.41 sQ14_spl <=> (multiply(sk_c6,sk_c7)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f161,plain,(
% 0.11/0.41 ~multiply(sk_c6,sk_c7)=sk_c6|sQ14_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f159])).
% 0.11/0.41 fof(f166,plain,(
% 0.11/0.41 ~sQ4_spl|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f157,f73,f81,f121,f77])).
% 0.11/0.41 fof(f167,definition,(
% 0.11/0.41 sQ16_spl <=> (multiply(sk_c7,sk_c6)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f169,plain,(
% 0.11/0.41 ~multiply(sk_c7,sk_c6)=sk_c6|sQ16_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f167])).
% 0.11/0.41 fof(f170,plain,(
% 0.11/0.41 ~sQ16_spl|~sQ7_spl|~sQ13_spl|~sQ0_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f158,f167,f85,f121,f58])).
% 0.11/0.41 fof(f171,plain,(
% 0.11/0.41 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f119,f70])).
% 0.11/0.41 fof(f172,plain,(
% 0.11/0.41 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ8_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f119,f95])).
% 0.11/0.41 fof(f176,plain,(
% 0.11/0.41 ~sk_c7=sk_c7|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f66,f171])).
% 0.11/0.41 fof(f177,plain,(
% 0.11/0.41 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f176])).
% 0.11/0.41 fof(f178,plain,(
% 0.11/0.41 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f177])).
% 0.11/0.41 fof(f182,plain,(
% 0.11/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.11/0.41 fof(f183,plain,(
% 0.11/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f29,f182])).
% 0.11/0.41 fof(f202,plain,(
% 0.11/0.41 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ8_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f95,f183])).
% 0.11/0.41 fof(f206,plain,(
% 0.11/0.41 sk_c6=multiply(sk_c6,sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f104,f202])).
% 0.11/0.41 fof(f207,plain,(
% 0.11/0.41 $false|sQ14_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f206,f161])).
% 0.11/0.41 fof(f208,plain,(
% 0.11/0.41 sQ14_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f207])).
% 0.11/0.41 fof(f211,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c7)=identity|~sQ1_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f62,f30])).
% 0.11/0.41 fof(f213,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c3)=identity|~sQ2_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f66,f30])).
% 0.11/0.41 fof(f215,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c4)=identity|~sQ6_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f82,f30])).
% 0.11/0.41 fof(f222,plain,(
% 0.11/0.41 sk_c7=multiply(inverse(sk_c4),sk_c5)|~sQ5_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f78,f183])).
% 0.11/0.41 fof(f224,plain,(
% 0.11/0.41 sk_c7=multiply(sk_c7,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f82,f222])).
% 0.11/0.41 fof(f225,plain,(
% 0.11/0.41 ~sk_c5=sk_c6|~inverse(sk_c4)=sk_c7|~sQ10_spl|~sQ5_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f78,f113])).
% 0.11/0.41 fof(f230,definition,(
% 0.11/0.41 sQ17_spl <=> (sk_c5=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f232,plain,(
% 0.11/0.41 ~sk_c5=sk_c6|sQ17_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f230])).
% 0.11/0.41 fof(f233,plain,(
% 0.11/0.41 ~sQ17_spl|~sQ6_spl|~sQ10_spl|~sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f225,f230,f81,f112,f77])).
% 0.11/0.41 fof(f241,definition,(
% 0.11/0.41 sQ20_spl <=> (identity=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f243,plain,(
% 0.11/0.41 ~identity=sk_c6|sQ20_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f241])).
% 0.11/0.41 fof(f252,plain,(
% 0.11/0.41 sk_c5=multiply(inverse(sk_c7),sk_c6)|~sQ4_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f74,f183])).
% 0.11/0.41 fof(f254,plain,(
% 0.11/0.41 sk_c5=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ4_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f62,f252])).
% 0.11/0.41 fof(f262,plain,(
% 0.11/0.41 ~identity=sk_c6|~inverse(sk_c6)=sk_c7|~sQ10_spl|~sQ1_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f211,f113])).
% 0.11/0.41 fof(f265,definition,(
% 0.11/0.41 sQ23_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f267,plain,(
% 0.11/0.41 ~inverse(sk_c6)=sk_c7|sQ23_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f265])).
% 0.11/0.41 fof(f268,plain,(
% 0.11/0.41 ~sQ20_spl|~sQ23_spl|~sQ10_spl|~sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f262,f241,f265,f112,f61])).
% 0.11/0.41 fof(f271,plain,(
% 0.11/0.41 sk_c3=multiply(inverse(sk_c7),identity)|~sQ2_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f213,f183])).
% 0.11/0.41 fof(f273,plain,(
% 0.11/0.41 sk_c3=multiply(sk_c6,identity)|~sQ1_spl|~sQ2_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f62,f271])).
% 0.11/0.41 fof(f282,plain,(
% 0.11/0.41 sk_c4=multiply(inverse(sk_c7),identity)|~sQ6_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f215,f183])).
% 0.11/0.41 fof(f284,plain,(
% 0.11/0.41 sk_c4=multiply(sk_c6,identity)|~sQ1_spl|~sQ6_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f62,f282])).
% 0.11/0.41 fof(f286,plain,(
% 0.11/0.41 sk_c7=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f74,f224])).
% 0.11/0.41 fof(f295,plain,(
% 0.11/0.41 multiply(sk_c4,sk_c6)=sk_c5|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f286,f78])).
% 0.11/0.41 fof(f299,plain,(
% 0.11/0.41 inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f286,f62])).
% 0.11/0.41 fof(f301,plain,(
% 0.11/0.41 multiply(sk_c3,sk_c6)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f286,f70])).
% 0.11/0.41 fof(f315,plain,(
% 0.11/0.41 sk_c3=sk_c4|~sQ6_spl|~sQ1_spl|~sQ2_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f284,f273])).
% 0.11/0.41 fof(f320,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f286,f116])).
% 0.11/0.41 fof(f323,plain,(
% 0.11/0.41 ~sk_c5=sk_c6|~inverse(sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ11_spl|~sQ1_spl|~sQ4_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f254,f320])).
% 0.11/0.41 fof(f326,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~inverse(identity)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f29,f320])).
% 0.11/0.41 fof(f328,definition,(
% 0.11/0.41 sQ24_spl <=> (inverse(sk_c6)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f330,plain,(
% 0.11/0.41 ~inverse(sk_c6)=sk_c6|sQ24_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f328])).
% 0.11/0.41 fof(f331,plain,(
% 0.11/0.41 ~sQ17_spl|~sQ24_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl|~sQ1_spl|~sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f323,f230,f328,f81,f77,f115,f61,f73])).
% 0.11/0.41 fof(f332,definition,(
% 0.11/0.41 sQ25_spl <=> (sk_c6=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f334,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|sQ25_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f332])).
% 0.11/0.41 fof(f343,definition,(
% 0.11/0.41 sQ28_spl <=> (inverse(identity)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f345,plain,(
% 0.11/0.41 ~inverse(identity)=sk_c6|sQ28_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f343])).
% 0.11/0.41 fof(f346,plain,(
% 0.11/0.41 ~sQ25_spl|~sQ28_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f326,f332,f343,f73,f81,f77,f115])).
% 0.11/0.41 fof(f347,plain,(
% 0.11/0.41 $false|sQ25_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f334])).
% 0.11/0.41 fof(f348,plain,(
% 0.11/0.41 sQ25_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f347])).
% 0.11/0.41 fof(f386,plain,(
% 0.11/0.41 multiply(sk_c4,sk_c6)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f315,f301])).
% 0.11/0.41 fof(f387,plain,(
% 0.11/0.41 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f295,f386])).
% 0.11/0.41 fof(f388,plain,(
% 0.11/0.41 $false|sQ17_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f387,f232])).
% 0.11/0.41 fof(f389,plain,(
% 0.11/0.41 sQ17_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f388])).
% 0.11/0.41 fof(f390,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ24_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f299,f330])).
% 0.11/0.41 fof(f391,plain,(
% 0.11/0.41 $false|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ24_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f390])).
% 0.11/0.41 fof(f392,plain,(
% 0.11/0.41 ~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ24_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f391])).
% 0.11/0.41 fof(f418,plain,(
% 0.11/0.41 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f206,f183])).
% 0.11/0.41 fof(f420,plain,(
% 0.11/0.41 sk_c7=identity|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f30,f418])).
% 0.11/0.41 fof(f426,plain,(
% 0.11/0.41 ~inverse(sk_c7)=sk_c6|~sQ9_spl|~sQ8_spl|sQ28_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f420,f345])).
% 0.11/0.41 fof(f428,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f420,f29])).
% 0.11/0.41 fof(f429,plain,(
% 0.11/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ9_spl|~sQ8_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f420,f30])).
% 0.11/0.41 fof(f430,plain,(
% 0.11/0.41 ~sk_c7=sk_c6|~sQ9_spl|~sQ8_spl|sQ20_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f420,f243])).
% 0.11/0.41 fof(f431,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f428,f169])).
% 0.11/0.41 fof(f435,plain,(
% 0.11/0.41 ~sQ25_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f431,f332,f103,f94,f167])).
% 0.11/0.41 fof(f436,plain,(
% 0.11/0.41 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ0_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f59,f183])).
% 0.11/0.41 fof(f438,plain,(
% 0.11/0.41 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f86,f436])).
% 0.11/0.41 fof(f439,plain,(
% 0.11/0.41 sk_c7=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f428,f438])).
% 0.11/0.41 fof(f440,plain,(
% 0.11/0.41 $false|sQ20_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f439,f430])).
% 0.11/0.41 fof(f441,plain,(
% 0.11/0.41 sQ20_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f440])).
% 0.11/0.41 fof(f444,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f439,f428])).
% 0.11/0.41 fof(f451,plain,(
% 0.11/0.41 ~inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f439,f63])).
% 0.11/0.41 fof(f455,plain,(
% 0.11/0.41 ~inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ23_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f439,f267])).
% 0.11/0.41 fof(f462,plain,(
% 0.11/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f439,f429])).
% 0.11/0.41 fof(f463,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c2)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f104,f462])).
% 0.11/0.41 fof(f466,plain,(
% 0.11/0.41 sk_c2=sk_c6|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f444,f463])).
% 0.11/0.41 fof(f473,plain,(
% 0.11/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f466,f462])).
% 0.11/0.41 fof(f478,plain,(
% 0.11/0.41 sk_c7=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f466,f439])).
% 0.11/0.41 fof(f483,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f466,f104])).
% 0.11/0.41 fof(f494,plain,(
% 0.11/0.41 ~inverse(sk_c2)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ23_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f466,f455])).
% 0.11/0.41 fof(f495,plain,(
% 0.11/0.41 ~inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ23_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f466,f494])).
% 0.11/0.41 fof(f504,plain,(
% 0.11/0.41 $false|sQ23_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f483,f495])).
% 0.11/0.41 fof(f505,plain,(
% 0.11/0.41 sQ23_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f504])).
% 0.11/0.41 fof(f514,plain,(
% 0.11/0.41 ~inverse(sk_c2)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f466,f451])).
% 0.11/0.41 fof(f515,plain,(
% 0.11/0.41 ~sk_c2=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f483,f514])).
% 0.11/0.41 fof(f516,plain,(
% 0.11/0.41 ~sk_c2=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f466,f515])).
% 0.11/0.41 fof(f517,plain,(
% 0.11/0.41 $false|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f516])).
% 0.11/0.41 fof(f518,plain,(
% 0.11/0.41 ~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f517])).
% 0.11/0.41 fof(f521,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c7|~inverse(X0)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f466,f116])).
% 0.11/0.41 fof(f522,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f478,f521])).
% 0.11/0.41 fof(f523,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f466,f522])).
% 0.11/0.41 fof(f524,plain,(
% 0.11/0.41 ~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ28_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f426,f61,f103,f94,f343])).
% 0.11/0.41 fof(f670,plain,(
% 0.11/0.41 ~inverse(inverse(sk_c2))=sk_c2|~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f523,f473])).
% 0.11/0.41 fof(f675,plain,(
% 0.11/0.41 ~inverse(sk_c2)=sk_c2|~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f483,f670])).
% 0.11/0.41 fof(f676,plain,(
% 0.11/0.41 ~sk_c2=sk_c2|~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f483,f675])).
% 0.11/0.41 fof(f677,plain,(
% 0.11/0.41 $false|~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f676])).
% 0.11/0.41 fof(f678,plain,(
% 0.11/0.41 ~sQ11_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f677])).
% 0.11/0.41 fof(f701,plain,(
% 0.11/0.41 ~sk_c2=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f483,f172])).
% 0.11/0.41 fof(f702,plain,(
% 0.11/0.41 ~sk_c2=sk_c2|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f478,f701])).
% 0.11/0.41 fof(f703,plain,(
% 0.11/0.41 $false|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f702])).
% 0.11/0.41 fof(f704,plain,(
% 0.11/0.41 ~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f703])).
% 0.11/0.41 fof(f705,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 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,f166,f170,f178,f208,f233,f268,f331,f346,f348,f389,f392,f435,f441,f505,f518,f524,f678,f704])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.053849 seconds
% 0.11/0.42 % CPU time: 0.212111 seconds
% 0.11/0.42 % Total memory used: 104.881 MB
% 0.11/0.42 % Net memory used: 104.619 MB
%------------------------------------------------------------------------------