%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP213-1 : 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 : n003.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 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP213-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n003.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 20 20:08:00 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f1,axiom,(
% 0.17/0.48 (![X]: (multiply(identity,X) = X ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f2,axiom,(
% 0.17/0.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f3,axiom,(
% 0.17/0.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f4,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c8) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f5,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f6,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f7,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f8,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f9,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f10,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f11,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f12,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f13,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f14,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f15,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f16,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f17,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f18,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f19,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f20,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f21,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f22,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c3| inverse(sk_c8) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f23,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f24,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f25,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f26,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f27,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f28,negated_conjecture,(
% 0.17/0.48 (![X4,X5,X6,X1,X2,X3]: (( multiply(X4,sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X5,X6) != sk_c8| inverse(X5) != X6| inverse(sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f29,plain,(
% 0.17/0.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.48 fof(f30,plain,(
% 0.17/0.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.48 fof(f31,plain,(
% 0.17/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.48 fof(f32,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c8)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.48 fof(f33,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.48 fof(f34,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.48 fof(f35,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.48 fof(f36,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.48 fof(f37,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.48 fof(f38,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.17/0.48 fof(f39,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/0.48 fof(f40,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/0.48 fof(f41,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.48 fof(f42,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.48 fof(f43,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.48 fof(f44,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.17/0.48 fof(f45,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.48 fof(f46,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.48 fof(f47,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f19])).
% 0.17/0.48 fof(f48,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f20])).
% 0.17/0.48 fof(f49,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f21])).
% 0.17/0.48 fof(f50,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c3|inverse(sk_c8)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f22])).
% 0.17/0.48 fof(f51,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f23])).
% 0.17/0.48 fof(f52,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f24])).
% 0.17/0.48 fof(f53,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f25])).
% 0.17/0.48 fof(f54,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/0.48 fof(f55,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.48 fof(f56,plain,(
% 0.17/0.48 ![X3]: ((![X2]: (((![X1]: ((((![X5,X6]: (((![X4]: (~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8))|~multiply(X5,X6)=sk_c8)|~inverse(X5)=X6))|~inverse(sk_c8)=sk_c7)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f28])).
% 0.17/0.48 fof(f57,plain,(
% 0.17/0.48 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~inverse(sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f56])).
% 0.17/0.48 fof(f58,definition,(
% 0.17/0.48 sQ0_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f59,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|~sQ0_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f58])).
% 0.17/0.48 fof(f61,definition,(
% 0.17/0.48 sQ1_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f62,plain,(
% 0.17/0.48 inverse(sk_c8)=sk_c7|~sQ1_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f61])).
% 0.17/0.48 fof(f63,plain,(
% 0.17/0.48 ~inverse(sk_c8)=sk_c7|sQ1_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f61])).
% 0.17/0.48 fof(f64,plain,(
% 0.17/0.48 sQ0_spl|sQ1_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.17/0.48 fof(f65,definition,(
% 0.17/0.48 sQ2_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f66,plain,(
% 0.17/0.48 inverse(sk_c4)=sk_c8|~sQ2_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f65])).
% 0.17/0.48 fof(f68,plain,(
% 0.17/0.48 sQ0_spl|sQ2_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.17/0.48 fof(f69,definition,(
% 0.17/0.48 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f70,plain,(
% 0.17/0.48 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f69])).
% 0.17/0.48 fof(f72,plain,(
% 0.17/0.48 sQ0_spl|sQ3_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.17/0.48 fof(f73,definition,(
% 0.17/0.48 sQ4_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f74,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c6)=sk_c7|~sQ4_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f73])).
% 0.17/0.48 fof(f76,plain,(
% 0.17/0.48 sQ0_spl|sQ4_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.17/0.48 fof(f77,definition,(
% 0.17/0.48 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f78,plain,(
% 0.17/0.48 multiply(sk_c5,sk_c8)=sk_c6|~sQ5_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f77])).
% 0.17/0.48 fof(f80,plain,(
% 0.17/0.48 sQ0_spl|sQ5_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.17/0.48 fof(f81,definition,(
% 0.17/0.48 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f82,plain,(
% 0.17/0.48 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f81])).
% 0.17/0.48 fof(f84,plain,(
% 0.17/0.48 sQ0_spl|sQ6_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.17/0.48 fof(f85,definition,(
% 0.17/0.48 sQ7_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f86,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|~sQ7_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f85])).
% 0.17/0.49 fof(f88,plain,(
% 0.17/0.49 sQ7_spl|sQ1_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.17/0.49 fof(f89,plain,(
% 0.17/0.49 sQ7_spl|sQ2_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.17/0.49 fof(f90,plain,(
% 0.17/0.49 sQ7_spl|sQ3_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.17/0.49 fof(f91,plain,(
% 0.17/0.49 sQ7_spl|sQ4_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.17/0.49 fof(f92,plain,(
% 0.17/0.49 sQ7_spl|sQ5_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.17/0.49 fof(f93,plain,(
% 0.17/0.49 sQ7_spl|sQ6_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.17/0.49 fof(f94,definition,(
% 0.17/0.49 sQ8_spl <=> (multiply(sk_c2,sk_c3)=sk_c8)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f95,plain,(
% 0.17/0.49 multiply(sk_c2,sk_c3)=sk_c8|~sQ8_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f94])).
% 0.17/0.49 fof(f97,plain,(
% 0.17/0.49 sQ8_spl|sQ1_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.17/0.49 fof(f98,plain,(
% 0.17/0.49 sQ8_spl|sQ2_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.17/0.49 fof(f99,plain,(
% 0.17/0.49 sQ8_spl|sQ3_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.17/0.49 fof(f100,plain,(
% 0.17/0.49 sQ8_spl|sQ4_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.17/0.49 fof(f101,plain,(
% 0.17/0.49 sQ8_spl|sQ5_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.17/0.49 fof(f102,plain,(
% 0.17/0.49 sQ8_spl|sQ6_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.17/0.49 fof(f103,definition,(
% 0.17/0.49 sQ9_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f104,plain,(
% 0.17/0.49 inverse(sk_c2)=sk_c3|~sQ9_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f103])).
% 0.17/0.49 fof(f106,plain,(
% 0.17/0.49 sQ9_spl|sQ1_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.17/0.49 fof(f107,plain,(
% 0.17/0.49 sQ9_spl|sQ2_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.17/0.49 fof(f108,plain,(
% 0.17/0.49 sQ9_spl|sQ3_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.17/0.49 fof(f109,plain,(
% 0.17/0.49 sQ9_spl|sQ4_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.17/0.49 fof(f110,plain,(
% 0.17/0.49 sQ9_spl|sQ5_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.17/0.49 fof(f111,plain,(
% 0.17/0.49 sQ9_spl|sQ6_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.17/0.49 fof(f112,definition,(
% 0.17/0.49 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f113,plain,(
% 0.17/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ10_spl)),
% 0.17/0.49 inference(component_clause,[status(thm)],[f112])).
% 0.17/0.49 fof(f115,definition,(
% 0.17/0.49 ![X1,X2]: (sQ11_spl <=> (~multiply(X1,X2)=sk_c8|~inverse(X1)=X2))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f116,plain,(
% 0.17/0.49 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~sQ11_spl)),
% 0.17/0.49 inference(component_clause,[status(thm)],[f115])).
% 0.17/0.49 fof(f118,definition,(
% 0.17/0.49 ![X3]: (sQ12_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f119,plain,(
% 0.17/0.49 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ12_spl)),
% 0.17/0.49 inference(component_clause,[status(thm)],[f118])).
% 0.17/0.49 fof(f121,definition,(
% 0.17/0.49 ![X4,X5]: (sQ13_spl <=> (~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f122,plain,(
% 0.17/0.49 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.17/0.49 inference(component_clause,[status(thm)],[f121])).
% 0.17/0.49 fof(f124,plain,(
% 0.17/0.49 sQ10_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f57,f112,f115,f61,f118,f121])).
% 0.17/0.49 fof(f125,plain,(
% 0.17/0.49 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.17/0.49 inference(destructive_equality_resolution,[status(thm)],[f122])).
% 0.17/0.49 fof(f135,plain,(
% 0.17/0.49 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ5_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f78,f125])).
% 0.17/0.49 fof(f136,plain,(
% 0.17/0.49 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f59,f125])).
% 0.17/0.49 fof(f137,plain,(
% 0.17/0.49 ~sQ4_spl|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f135,f73,f81,f121,f77])).
% 0.17/0.49 fof(f138,definition,(
% 0.17/0.49 sQ14_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f140,plain,(
% 0.17/0.49 ~multiply(sk_c8,sk_c7)=sk_c7|sQ14_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f138])).
% 0.17/0.49 fof(f141,plain,(
% 0.17/0.49 ~sQ14_spl|~sQ7_spl|~sQ13_spl|~sQ0_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f136,f138,f85,f121,f58])).
% 0.17/0.49 fof(f142,plain,(
% 0.17/0.49 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~sQ11_spl)),
% 0.17/0.49 inference(destructive_equality_resolution,[status(thm)],[f116])).
% 0.17/0.49 fof(f143,plain,(
% 0.17/0.49 ~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ3_spl),
% 0.17/0.49 inference(resolution,[status(thm)],[f119,f70])).
% 0.17/0.49 fof(f146,plain,(
% 0.17/0.49 ~sk_c8=sk_c8|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f66,f143])).
% 0.17/0.49 fof(f147,plain,(
% 0.17/0.49 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.17/0.49 inference(trivial_equality_resolution,[status(thm)],[f146])).
% 0.17/0.49 fof(f148,plain,(
% 0.17/0.49 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f147])).
% 0.17/0.49 fof(f151,plain,(
% 0.17/0.49 multiply(sk_c8,sk_c1)=identity|~sQ7_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f86,f30])).
% 0.17/0.49 fof(f153,plain,(
% 0.17/0.49 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.17/0.49 fof(f154,plain,(
% 0.17/0.49 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f29,f153])).
% 0.17/0.49 fof(f157,plain,(
% 0.17/0.49 ~multiply(sk_c5,sk_c8)=sk_c8|~sQ11_spl|~sQ6_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f82,f142])).
% 0.17/0.49 fof(f159,plain,(
% 0.17/0.49 ~multiply(sk_c2,sk_c3)=sk_c8|~sQ11_spl|~sQ9_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f104,f142])).
% 0.17/0.49 fof(f160,plain,(
% 0.17/0.49 ~sk_c6=sk_c8|~sQ5_spl|~sQ11_spl|~sQ6_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f78,f157])).
% 0.17/0.49 fof(f162,plain,(
% 0.17/0.49 ~sk_c8=sk_c8|~sQ8_spl|~sQ11_spl|~sQ9_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f95,f159])).
% 0.17/0.49 fof(f163,plain,(
% 0.17/0.49 $false|~sQ8_spl|~sQ11_spl|~sQ9_spl),
% 0.17/0.49 inference(trivial_equality_resolution,[status(thm)],[f162])).
% 0.17/0.49 fof(f164,plain,(
% 0.17/0.49 ~sQ8_spl|~sQ11_spl|~sQ9_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f163])).
% 0.17/0.49 fof(f166,plain,(
% 0.17/0.49 multiply(sk_c8,sk_c4)=identity|~sQ2_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f66,f30])).
% 0.17/0.49 fof(f171,plain,(
% 0.17/0.49 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ10_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f30,f113])).
% 0.17/0.49 fof(f172,plain,(
% 0.17/0.49 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ10_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f29,f113])).
% 0.17/0.49 fof(f174,plain,(
% 0.17/0.49 ~sk_c6=sk_c7|~inverse(sk_c5)=sk_c8|~sQ10_spl|~sQ5_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f78,f113])).
% 0.17/0.49 fof(f175,definition,(
% 0.17/0.49 sQ15_spl <=> (identity=sk_c7)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f178,definition,(
% 0.17/0.49 sQ16_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f180,plain,(
% 0.17/0.49 ~inverse(inverse(sk_c8))=sk_c8|sQ16_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f178])).
% 0.17/0.49 fof(f181,plain,(
% 0.17/0.49 ~sQ15_spl|~sQ16_spl|~sQ10_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f171,f175,f178,f112])).
% 0.17/0.49 fof(f182,definition,(
% 0.17/0.49 sQ17_spl <=> (sk_c8=sk_c7)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f184,plain,(
% 0.17/0.49 ~sk_c8=sk_c7|sQ17_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f182])).
% 0.17/0.49 fof(f185,definition,(
% 0.17/0.49 sQ18_spl <=> (inverse(identity)=sk_c8)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f187,plain,(
% 0.17/0.49 ~inverse(identity)=sk_c8|sQ18_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f185])).
% 0.17/0.49 fof(f188,plain,(
% 0.17/0.49 ~sQ17_spl|~sQ18_spl|~sQ10_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f172,f182,f185,f112])).
% 0.17/0.49 fof(f189,definition,(
% 0.17/0.49 sQ19_spl <=> (sk_c6=sk_c7)),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f191,plain,(
% 0.17/0.49 ~sk_c6=sk_c7|sQ19_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f189])).
% 0.17/0.49 fof(f192,plain,(
% 0.17/0.49 ~sQ19_spl|~sQ6_spl|~sQ10_spl|~sQ5_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f174,f189,f81,f112,f77])).
% 0.17/0.49 fof(f213,plain,(
% 0.17/0.49 sk_c4=multiply(inverse(sk_c8),identity)|~sQ2_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f166,f154])).
% 0.17/0.49 fof(f214,plain,(
% 0.17/0.49 sk_c6=multiply(inverse(sk_c8),sk_c7)|~sQ4_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f74,f154])).
% 0.17/0.49 fof(f222,plain,(
% 0.17/0.49 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ5_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f78,f154])).
% 0.17/0.49 fof(f224,plain,(
% 0.17/0.49 sk_c4=multiply(sk_c7,identity)|~sQ1_spl|~sQ2_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f62,f213])).
% 0.17/0.49 fof(f225,plain,(
% 0.17/0.49 sk_c6=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ4_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f62,f214])).
% 0.17/0.49 fof(f229,plain,(
% 0.17/0.49 sk_c8=multiply(sk_c8,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f82,f222])).
% 0.17/0.49 fof(f230,plain,(
% 0.17/0.49 sk_c8=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f74,f229])).
% 0.17/0.49 fof(f231,plain,(
% 0.17/0.49 $false|sQ17_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f230,f184])).
% 0.17/0.49 fof(f232,plain,(
% 0.17/0.49 sQ17_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f231])).
% 0.17/0.49 fof(f237,plain,(
% 0.17/0.49 multiply(sk_c7,sk_c6)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f230,f74])).
% 0.17/0.49 fof(f240,plain,(
% 0.17/0.49 inverse(sk_c4)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f230,f66])).
% 0.17/0.49 fof(f241,plain,(
% 0.17/0.49 inverse(sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f230,f62])).
% 0.17/0.49 fof(f242,plain,(
% 0.17/0.49 multiply(sk_c4,sk_c7)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f230,f70])).
% 0.17/0.49 fof(f243,plain,(
% 0.17/0.49 multiply(sk_c5,sk_c7)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f230,f78])).
% 0.17/0.49 fof(f244,plain,(
% 0.17/0.49 inverse(sk_c5)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f230,f82])).
% 0.17/0.49 fof(f245,plain,(
% 0.17/0.49 ~sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ6_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f230,f160])).
% 0.17/0.49 fof(f250,plain,(
% 0.17/0.49 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f237,f154])).
% 0.17/0.49 fof(f252,plain,(
% 0.17/0.49 sk_c6=identity|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f30,f250])).
% 0.17/0.49 fof(f254,plain,(
% 0.17/0.49 ~identity=sk_c7|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ6_spl),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f252,f245])).
% 0.17/0.49 fof(f269,plain,(
% 0.17/0.49 identity=multiply(sk_c7,sk_c7)|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f252,f225])).
% 0.17/0.49 fof(f270,plain,(
% 0.17/0.49 sk_c7=multiply(inverse(sk_c7),identity)|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f269,f154])).
% 0.17/0.49 fof(f272,plain,(
% 0.17/0.49 sk_c7=multiply(sk_c7,identity)|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f241,f270])).
% 0.17/0.49 fof(f273,plain,(
% 0.17/0.49 sk_c7=sk_c4|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f224,f272])).
% 0.17/0.49 fof(f275,plain,(
% 0.17/0.49 sk_c7=multiply(inverse(sk_c4),sk_c7)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f242,f154])).
% 0.17/0.49 fof(f277,plain,(
% 0.17/0.49 sk_c7=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f240,f275])).
% 0.17/0.49 fof(f278,plain,(
% 0.17/0.49 sk_c7=identity|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f269,f277])).
% 0.17/0.49 fof(f279,plain,(
% 0.17/0.49 $false|~sQ11_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f278,f254])).
% 0.17/0.49 fof(f280,plain,(
% 0.17/0.49 ~sQ11_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f279])).
% 0.17/0.50 fof(f282,plain,(
% 0.17/0.50 ~identity=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ19_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f252,f191])).
% 0.17/0.50 fof(f287,plain,(
% 0.17/0.50 multiply(sk_c5,sk_c7)=identity|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f252,f243])).
% 0.17/0.50 fof(f288,plain,(
% 0.17/0.50 sk_c7=multiply(inverse(sk_c5),identity)|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f287,f154])).
% 0.17/0.50 fof(f290,plain,(
% 0.17/0.50 sk_c7=multiply(sk_c7,identity)|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f244,f288])).
% 0.17/0.50 fof(f291,plain,(
% 0.17/0.50 sk_c7=sk_c4|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f224,f290])).
% 0.17/0.50 fof(f306,plain,(
% 0.17/0.50 ~identity=sk_c4|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ19_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f273,f282])).
% 0.17/0.50 fof(f316,plain,(
% 0.17/0.50 identity=sk_c4|~sQ3_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f278,f291])).
% 0.17/0.50 fof(f319,plain,(
% 0.17/0.50 ~identity=identity|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ19_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f316,f306])).
% 0.17/0.50 fof(f320,plain,(
% 0.17/0.50 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ19_spl),
% 0.17/0.50 inference(trivial_equality_resolution,[status(thm)],[f319])).
% 0.17/0.50 fof(f321,plain,(
% 0.17/0.50 ~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ19_spl),
% 0.17/0.50 inference(contradiction_clause,[status(thm)],[f320])).
% 0.17/0.50 fof(f322,plain,(
% 0.17/0.50 sk_c3=multiply(inverse(sk_c2),sk_c8)|~sQ8_spl),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f95,f154])).
% 0.17/0.50 fof(f324,plain,(
% 0.17/0.50 sk_c3=multiply(sk_c3,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f104,f322])).
% 0.17/0.50 fof(f350,plain,(
% 0.17/0.50 sk_c8=multiply(inverse(sk_c3),sk_c3)|~sQ9_spl|~sQ8_spl),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f324,f154])).
% 0.17/0.50 fof(f353,plain,(
% 0.17/0.50 sk_c8=identity|~sQ9_spl|~sQ8_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f30,f350])).
% 0.17/0.50 fof(f363,plain,(
% 0.17/0.50 multiply(identity,sk_c4)=identity|~sQ9_spl|~sQ8_spl|~sQ2_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f166])).
% 0.17/0.50 fof(f364,plain,(
% 0.17/0.50 multiply(identity,sk_c1)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f151])).
% 0.17/0.50 fof(f368,plain,(
% 0.17/0.50 ~multiply(identity,sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|sQ14_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f140])).
% 0.17/0.50 fof(f369,plain,(
% 0.17/0.50 ~inverse(inverse(sk_c8))=identity|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f180])).
% 0.17/0.50 fof(f370,plain,(
% 0.17/0.50 ~inverse(identity)=sk_c7|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f63])).
% 0.17/0.50 fof(f372,plain,(
% 0.17/0.50 inverse(sk_c4)=identity|~sQ9_spl|~sQ8_spl|~sQ2_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f66])).
% 0.17/0.50 fof(f373,plain,(
% 0.17/0.50 ~inverse(identity)=identity|~sQ9_spl|~sQ8_spl|sQ18_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f187])).
% 0.17/0.50 fof(f375,plain,(
% 0.17/0.50 inverse(sk_c1)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f86])).
% 0.17/0.50 fof(f376,plain,(
% 0.17/0.50 multiply(sk_c1,identity)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f353,f59])).
% 0.17/0.50 fof(f379,plain,(
% 0.17/0.50 sk_c4=identity|~sQ9_spl|~sQ8_spl|~sQ2_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f29,f363])).
% 0.17/0.50 fof(f380,plain,(
% 0.17/0.50 sk_c1=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f29,f364])).
% 0.17/0.50 fof(f383,plain,(
% 0.17/0.50 ~sk_c7=sk_c7|~sQ9_spl|~sQ8_spl|sQ14_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f29,f368])).
% 0.17/0.50 fof(f384,plain,(
% 0.17/0.50 $false|~sQ9_spl|~sQ8_spl|sQ14_spl),
% 0.17/0.50 inference(trivial_equality_resolution,[status(thm)],[f383])).
% 0.17/0.50 fof(f385,plain,(
% 0.17/0.50 ~sQ9_spl|~sQ8_spl|sQ14_spl),
% 0.17/0.50 inference(contradiction_clause,[status(thm)],[f384])).
% 0.17/0.50 fof(f386,plain,(
% 0.17/0.50 ~inverse(inverse(identity))=identity|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f353,f369])).
% 0.17/0.50 fof(f390,plain,(
% 0.17/0.50 inverse(identity)=identity|~sQ9_spl|~sQ8_spl|~sQ2_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f379,f372])).
% 0.17/0.50 fof(f394,plain,(
% 0.17/0.50 ~identity=identity|~sQ2_spl|~sQ9_spl|~sQ8_spl|sQ18_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f390,f373])).
% 0.17/0.50 fof(f395,plain,(
% 0.17/0.50 $false|~sQ2_spl|~sQ9_spl|~sQ8_spl|sQ18_spl),
% 0.17/0.50 inference(trivial_equality_resolution,[status(thm)],[f394])).
% 0.17/0.50 fof(f396,plain,(
% 0.17/0.50 ~sQ2_spl|~sQ9_spl|~sQ8_spl|sQ18_spl),
% 0.17/0.50 inference(contradiction_clause,[status(thm)],[f395])).
% 0.17/0.50 fof(f398,plain,(
% 0.17/0.50 inverse(identity)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f380,f375])).
% 0.17/0.50 fof(f402,plain,(
% 0.17/0.50 ~identity=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f398,f370])).
% 0.17/0.50 fof(f408,plain,(
% 0.17/0.50 ~inverse(identity)=identity|~sQ7_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f398,f386])).
% 0.17/0.50 fof(f409,plain,(
% 0.17/0.50 ~identity=identity|~sQ7_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f398,f408])).
% 0.17/0.50 fof(f410,plain,(
% 0.17/0.50 $false|~sQ7_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.17/0.50 inference(trivial_equality_resolution,[status(thm)],[f409])).
% 0.17/0.50 fof(f411,plain,(
% 0.17/0.50 ~sQ7_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.17/0.50 inference(contradiction_clause,[status(thm)],[f410])).
% 0.17/0.50 fof(f415,plain,(
% 0.17/0.50 multiply(identity,identity)=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f380,f376])).
% 0.17/0.50 fof(f416,plain,(
% 0.17/0.50 identity=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f29,f415])).
% 0.17/0.50 fof(f417,plain,(
% 0.17/0.50 $false|sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f416,f402])).
% 0.17/0.50 fof(f418,plain,(
% 0.17/0.50 sQ1_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/0.50 inference(contradiction_clause,[status(thm)],[f417])).
% 0.17/0.50 fof(f423,plain,(
% 0.17/0.50 sQ15_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f416,f175,f85,f103,f94,f58])).
% 0.17/0.50 fof(f430,plain,(
% 0.17/0.50 inverse(identity)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f353,f62])).
% 0.17/0.50 fof(f431,plain,(
% 0.17/0.50 identity=sk_c7|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f398,f430])).
% 0.17/0.50 fof(f433,plain,(
% 0.17/0.50 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f353,f119])).
% 0.17/0.50 fof(f434,plain,(
% 0.17/0.50 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=identity|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f353,f433])).
% 0.17/0.50 fof(f449,plain,(
% 0.17/0.50 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~sQ7_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f431,f434])).
% 0.17/0.50 fof(f450,plain,(
% 0.17/0.50 ~multiply(identity,identity)=identity|~sQ1_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.50 inference(resolution,[status(thm)],[f449,f398])).
% 0.17/0.50 fof(f453,plain,(
% 0.17/0.50 ~identity=identity|~sQ1_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f29,f450])).
% 0.17/0.50 fof(f454,plain,(
% 0.17/0.50 $false|~sQ1_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.50 inference(trivial_equality_resolution,[status(thm)],[f453])).
% 0.17/0.50 fof(f455,plain,(
% 0.17/0.50 ~sQ1_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.50 inference(contradiction_clause,[status(thm)],[f454])).
% 0.17/0.50 fof(f456,plain,(
% 0.17/0.50 $false),
% 0.17/0.50 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,f137,f141,f148,f164,f181,f188,f192,f232,f280,f321,f385,f396,f411,f418,f423,f455])).
% 0.17/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.51 % Elapsed time: 0.079162 seconds
% 0.17/0.51 % CPU time: 0.319134 seconds
% 0.17/0.51 % Total memory used: 102.455 MB
% 0.17/0.51 % Net memory used: 102.242 MB
%------------------------------------------------------------------------------