%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP235-1 : 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 : n011.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 0.08s 15.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP235-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.43 % CPULimit : 300
% 0.08/15.43 % WCLimit : 300
% 0.08/15.43 % DateTime : Sun Sep 20 20:07:40 UTC 2026
% 0.08/15.44 % CPUTime :
% 0.08/15.45 % Drodi V4.1.1
% 0.08/15.48 % Refutation found
% 0.08/15.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/15.48 % SZS output start CNFRefutation for theBenchmark
% 0.08/15.48 fof(f1,axiom,(
% 0.08/15.48 (![X]: (multiply(identity,X) = X ))),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f2,axiom,(
% 0.08/15.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f3,axiom,(
% 0.08/15.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f4,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f5,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f6,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f7,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f8,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f9,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f10,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f11,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f12,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f13,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f14,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f15,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f16,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f17,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f18,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f19,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f20,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f21,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f22,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f23,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f24,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f25,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f26,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c2) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f27,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f28,negated_conjecture,(
% 0.08/15.48 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f29,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f30,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f31,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f32,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f33,negated_conjecture,(
% 0.08/15.48 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f34,negated_conjecture,(
% 0.08/15.48 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X4,sk_c7) != sk_c8| multiply(X5,X6) != sk_c7| inverse(X5) != X6| multiply(X6,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 ) ))),
% 0.08/15.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.48 fof(f35,plain,(
% 0.08/15.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/15.48 fof(f36,plain,(
% 0.08/15.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/15.48 fof(f37,plain,(
% 0.08/15.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/15.48 fof(f38,plain,(
% 0.08/15.48 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/15.48 fof(f39,plain,(
% 0.08/15.48 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/15.48 fof(f40,plain,(
% 0.08/15.48 inverse(sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/15.48 fof(f41,plain,(
% 0.08/15.48 inverse(sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/15.48 fof(f42,plain,(
% 0.08/15.48 inverse(sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/15.48 fof(f43,plain,(
% 0.08/15.48 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/15.48 fof(f44,plain,(
% 0.08/15.48 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/15.48 fof(f45,plain,(
% 0.08/15.48 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/15.48 fof(f46,plain,(
% 0.08/15.48 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/15.48 fof(f47,plain,(
% 0.08/15.48 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/15.48 fof(f48,plain,(
% 0.08/15.48 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/15.48 fof(f49,plain,(
% 0.08/15.48 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/15.48 fof(f50,plain,(
% 0.08/15.48 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/15.48 fof(f51,plain,(
% 0.08/15.48 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/15.48 fof(f52,plain,(
% 0.08/15.48 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/15.48 fof(f53,plain,(
% 0.08/15.48 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/15.48 fof(f54,plain,(
% 0.08/15.48 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f20])).
% 0.08/15.48 fof(f55,plain,(
% 0.08/15.48 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/15.48 fof(f56,plain,(
% 0.08/15.48 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/15.48 fof(f57,plain,(
% 0.08/15.48 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/15.48 fof(f58,plain,(
% 0.08/15.48 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/15.48 fof(f59,plain,(
% 0.08/15.48 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/15.48 fof(f60,plain,(
% 0.08/15.48 inverse(sk_c2)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/15.48 fof(f61,plain,(
% 0.08/15.48 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.08/15.48 fof(f62,plain,(
% 0.08/15.48 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/15.48 fof(f63,plain,(
% 0.08/15.48 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f29])).
% 0.08/15.48 fof(f64,plain,(
% 0.08/15.48 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f30])).
% 0.08/15.48 fof(f65,plain,(
% 0.08/15.48 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/15.48 fof(f66,plain,(
% 0.08/15.48 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/15.48 fof(f67,plain,(
% 0.08/15.48 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f33])).
% 0.08/15.48 fof(f68,plain,(
% 0.08/15.48 ![X3]: ((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c8)=sk_c7|~inverse(X4)=sk_c8)|~multiply(X4,sk_c7)=sk_c8))|~multiply(X5,X6)=sk_c7)|~inverse(X5)=X6))|~multiply(X6,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)),
% 0.08/15.48 inference(miniscoping,[status(thm)],[f34])).
% 0.08/15.48 fof(f69,plain,(
% 0.08/15.48 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,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)),
% 0.08/15.48 inference(cnf_transformation,[status(thm)],[f68])).
% 0.08/15.48 fof(f70,definition,(
% 0.08/15.48 sQ0_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.08/15.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/15.48 fof(f71,plain,(
% 0.08/15.48 inverse(sk_c8)=sk_c7|~sQ0_spl),
% 0.08/15.48 inference(component_clause,[status(thm)],[f70])).
% 0.08/15.48 fof(f72,plain,(
% 0.08/15.48 ~inverse(sk_c8)=sk_c7|sQ0_spl),
% 0.08/15.48 inference(component_clause,[status(thm)],[f70])).
% 0.08/15.48 fof(f73,definition,(
% 0.08/15.48 sQ1_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.08/15.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/15.48 fof(f74,plain,(
% 0.08/15.48 inverse(sk_c4)=sk_c8|~sQ1_spl),
% 0.08/15.48 inference(component_clause,[status(thm)],[f73])).
% 0.08/15.48 fof(f76,plain,(
% 0.08/15.48 sQ0_spl|sQ1_spl),
% 0.08/15.48 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.08/15.48 fof(f77,definition,(
% 0.08/15.48 sQ2_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.08/15.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/15.48 fof(f78,plain,(
% 0.08/15.48 multiply(sk_c4,sk_c7)=sk_c8|~sQ2_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f77])).
% 0.08/15.49 fof(f80,plain,(
% 0.08/15.49 sQ0_spl|sQ2_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.08/15.49 fof(f81,definition,(
% 0.08/15.49 sQ3_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f82,plain,(
% 0.08/15.49 multiply(sk_c8,sk_c6)=sk_c7|~sQ3_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f81])).
% 0.08/15.49 fof(f84,plain,(
% 0.08/15.49 sQ0_spl|sQ3_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.08/15.49 fof(f85,definition,(
% 0.08/15.49 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f86,plain,(
% 0.08/15.49 multiply(sk_c5,sk_c8)=sk_c6|~sQ4_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f85])).
% 0.08/15.49 fof(f88,plain,(
% 0.08/15.49 sQ0_spl|sQ4_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.08/15.49 fof(f89,definition,(
% 0.08/15.49 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f90,plain,(
% 0.08/15.49 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f89])).
% 0.08/15.49 fof(f92,plain,(
% 0.08/15.49 sQ0_spl|sQ5_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.08/15.49 fof(f93,definition,(
% 0.08/15.49 sQ6_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f94,plain,(
% 0.08/15.49 inverse(sk_c1)=sk_c8|~sQ6_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f93])).
% 0.08/15.49 fof(f96,plain,(
% 0.08/15.49 sQ6_spl|sQ1_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.08/15.49 fof(f97,plain,(
% 0.08/15.49 sQ6_spl|sQ2_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.08/15.49 fof(f98,plain,(
% 0.08/15.49 sQ6_spl|sQ3_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.08/15.49 fof(f99,plain,(
% 0.08/15.49 sQ6_spl|sQ4_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.08/15.49 fof(f100,plain,(
% 0.08/15.49 sQ6_spl|sQ5_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.08/15.49 fof(f101,definition,(
% 0.08/15.49 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f102,plain,(
% 0.08/15.49 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f101])).
% 0.08/15.49 fof(f104,plain,(
% 0.08/15.49 sQ7_spl|sQ1_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.08/15.49 fof(f105,plain,(
% 0.08/15.49 sQ7_spl|sQ2_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.08/15.49 fof(f106,plain,(
% 0.08/15.49 sQ7_spl|sQ3_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.08/15.49 fof(f107,plain,(
% 0.08/15.49 sQ7_spl|sQ4_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.08/15.49 fof(f108,plain,(
% 0.08/15.49 sQ7_spl|sQ5_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.08/15.49 fof(f109,definition,(
% 0.08/15.49 sQ8_spl <=> (multiply(sk_c2,sk_c3)=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f110,plain,(
% 0.08/15.49 multiply(sk_c2,sk_c3)=sk_c7|~sQ8_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f109])).
% 0.08/15.49 fof(f112,plain,(
% 0.08/15.49 sQ8_spl|sQ1_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.08/15.49 fof(f113,plain,(
% 0.08/15.49 sQ8_spl|sQ2_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.08/15.49 fof(f114,plain,(
% 0.08/15.49 sQ8_spl|sQ3_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.08/15.49 fof(f115,plain,(
% 0.08/15.49 sQ8_spl|sQ4_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.08/15.49 fof(f116,plain,(
% 0.08/15.49 sQ8_spl|sQ5_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.08/15.49 fof(f117,definition,(
% 0.08/15.49 sQ9_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f118,plain,(
% 0.08/15.49 inverse(sk_c2)=sk_c3|~sQ9_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f117])).
% 0.08/15.49 fof(f120,plain,(
% 0.08/15.49 sQ9_spl|sQ1_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.08/15.49 fof(f121,plain,(
% 0.08/15.49 sQ9_spl|sQ2_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.08/15.49 fof(f122,plain,(
% 0.08/15.49 sQ9_spl|sQ3_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.08/15.49 fof(f123,plain,(
% 0.08/15.49 sQ9_spl|sQ4_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.08/15.49 fof(f124,plain,(
% 0.08/15.49 sQ9_spl|sQ5_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.08/15.49 fof(f125,definition,(
% 0.08/15.49 sQ10_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f128,plain,(
% 0.08/15.49 sQ10_spl|sQ1_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.08/15.49 fof(f129,plain,(
% 0.08/15.49 sQ10_spl|sQ2_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.08/15.49 fof(f130,plain,(
% 0.08/15.49 sQ10_spl|sQ3_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.08/15.49 fof(f131,plain,(
% 0.08/15.49 sQ10_spl|sQ4_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.08/15.49 fof(f132,plain,(
% 0.08/15.49 sQ10_spl|sQ5_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.08/15.49 fof(f133,definition,(
% 0.08/15.49 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8))),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f134,plain,(
% 0.08/15.49 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ11_spl)),
% 0.08/15.49 inference(component_clause,[status(thm)],[f133])).
% 0.08/15.49 fof(f136,definition,(
% 0.08/15.49 ![X1,X2]: (sQ12_spl <=> (~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7))),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f137,plain,(
% 0.08/15.49 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c7|~sQ12_spl)),
% 0.08/15.49 inference(component_clause,[status(thm)],[f136])).
% 0.08/15.49 fof(f139,definition,(
% 0.08/15.49 ![X4,X5]: (sQ13_spl <=> (~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8))),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f140,plain,(
% 0.08/15.49 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.08/15.49 inference(component_clause,[status(thm)],[f139])).
% 0.08/15.49 fof(f142,plain,(
% 0.08/15.49 ~sQ0_spl|sQ11_spl|sQ12_spl|sQ13_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f139])).
% 0.08/15.49 fof(f143,plain,(
% 0.08/15.49 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.08/15.49 inference(destructive_equality_resolution,[status(thm)],[f140])).
% 0.08/15.49 fof(f155,plain,(
% 0.08/15.49 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ4_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f86,f143])).
% 0.08/15.49 fof(f163,plain,(
% 0.08/15.49 ~sQ3_spl|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f155,f81,f89,f139,f85])).
% 0.08/15.49 fof(f164,plain,(
% 0.08/15.49 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~sQ12_spl)),
% 0.08/15.49 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.08/15.49 fof(f166,plain,(
% 0.08/15.49 multiply(sk_c7,sk_c8)=identity|~sQ0_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.08/15.49 fof(f167,plain,(
% 0.08/15.49 multiply(sk_c8,sk_c1)=identity|~sQ6_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.08/15.49 fof(f170,plain,(
% 0.08/15.49 multiply(sk_c8,sk_c5)=identity|~sQ5_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f90,f36])).
% 0.08/15.49 fof(f171,plain,(
% 0.08/15.49 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.08/15.49 fof(f172,plain,(
% 0.08/15.49 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f35,f171])).
% 0.08/15.49 fof(f179,plain,(
% 0.08/15.49 ~multiply(sk_c8,inverse(sk_c8))=sk_c7|~identity=sk_c7|~sQ12_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f36,f164])).
% 0.08/15.49 fof(f180,plain,(
% 0.08/15.49 ~multiply(sk_c8,inverse(sk_c8))=sk_c7|~multiply(sk_c7,sk_c8)=sk_c7|~sQ12_spl|~sQ0_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f71,f164])).
% 0.08/15.49 fof(f181,plain,(
% 0.08/15.49 ~multiply(sk_c1,inverse(sk_c1))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~sQ12_spl|~sQ6_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f94,f164])).
% 0.08/15.49 fof(f182,plain,(
% 0.08/15.49 ~multiply(sk_c2,inverse(sk_c2))=sk_c7|~multiply(sk_c3,sk_c8)=sk_c7|~sQ12_spl|~sQ9_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f118,f164])).
% 0.08/15.49 fof(f183,plain,(
% 0.08/15.49 ~multiply(sk_c4,inverse(sk_c4))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~sQ12_spl|~sQ1_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f74,f164])).
% 0.08/15.49 fof(f184,plain,(
% 0.08/15.49 ~multiply(sk_c5,inverse(sk_c5))=sk_c7|~multiply(sk_c8,sk_c8)=sk_c7|~sQ12_spl|~sQ5_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f90,f164])).
% 0.08/15.49 fof(f185,definition,(
% 0.08/15.49 sQ16_spl <=> (multiply(sk_c8,inverse(sk_c8))=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f187,plain,(
% 0.08/15.49 ~multiply(sk_c8,inverse(sk_c8))=sk_c7|sQ16_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f185])).
% 0.08/15.49 fof(f188,definition,(
% 0.08/15.49 sQ17_spl <=> (identity=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f190,plain,(
% 0.08/15.49 ~identity=sk_c7|sQ17_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f188])).
% 0.08/15.49 fof(f191,plain,(
% 0.08/15.49 ~sQ16_spl|~sQ17_spl|~sQ12_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f179,f185,f188,f136])).
% 0.08/15.49 fof(f192,definition,(
% 0.08/15.49 sQ18_spl <=> (multiply(sk_c7,sk_c8)=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f194,plain,(
% 0.08/15.49 ~multiply(sk_c7,sk_c8)=sk_c7|sQ18_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f192])).
% 0.08/15.49 fof(f195,plain,(
% 0.08/15.49 ~sQ16_spl|~sQ18_spl|~sQ12_spl|~sQ0_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f180,f185,f192,f136,f70])).
% 0.08/15.49 fof(f196,definition,(
% 0.08/15.49 sQ19_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f199,definition,(
% 0.08/15.49 sQ20_spl <=> (multiply(sk_c8,sk_c8)=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f201,plain,(
% 0.08/15.49 ~multiply(sk_c8,sk_c8)=sk_c7|sQ20_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f199])).
% 0.08/15.49 fof(f202,plain,(
% 0.08/15.49 ~sQ19_spl|~sQ20_spl|~sQ12_spl|~sQ6_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f181,f196,f199,f136,f93])).
% 0.08/15.49 fof(f203,definition,(
% 0.08/15.49 sQ21_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f205,plain,(
% 0.08/15.49 ~multiply(sk_c2,inverse(sk_c2))=sk_c7|sQ21_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f203])).
% 0.08/15.49 fof(f206,plain,(
% 0.08/15.49 ~sQ21_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f182,f203,f125,f136,f117])).
% 0.08/15.49 fof(f207,definition,(
% 0.08/15.49 sQ22_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f210,plain,(
% 0.08/15.49 ~sQ22_spl|~sQ20_spl|~sQ12_spl|~sQ1_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f183,f207,f199,f136,f73])).
% 0.08/15.49 fof(f211,definition,(
% 0.08/15.49 sQ23_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f213,plain,(
% 0.08/15.49 ~multiply(sk_c5,inverse(sk_c5))=sk_c7|sQ23_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f211])).
% 0.08/15.49 fof(f214,plain,(
% 0.08/15.49 ~sQ23_spl|~sQ20_spl|~sQ12_spl|~sQ5_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f184,f211,f199,f136,f89])).
% 0.08/15.49 fof(f215,plain,(
% 0.08/15.49 ~multiply(sk_c8,sk_c7)=sk_c7|~sQ0_spl|sQ16_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f71,f187])).
% 0.08/15.49 fof(f216,plain,(
% 0.08/15.49 ~multiply(sk_c5,sk_c8)=sk_c7|~sQ5_spl|sQ23_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f90,f213])).
% 0.08/15.49 fof(f217,plain,(
% 0.08/15.49 ~sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|sQ23_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f86,f216])).
% 0.08/15.49 fof(f218,plain,(
% 0.08/15.49 ~multiply(sk_c2,sk_c3)=sk_c7|~sQ9_spl|sQ21_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f118,f205])).
% 0.08/15.49 fof(f219,plain,(
% 0.08/15.49 ~sk_c7=sk_c7|~sQ8_spl|~sQ9_spl|sQ21_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f110,f218])).
% 0.08/15.49 fof(f220,plain,(
% 0.08/15.49 $false|~sQ8_spl|~sQ9_spl|sQ21_spl),
% 0.08/15.49 inference(trivial_equality_resolution,[status(thm)],[f219])).
% 0.08/15.49 fof(f221,plain,(
% 0.08/15.49 ~sQ8_spl|~sQ9_spl|sQ21_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f220])).
% 0.08/15.49 fof(f223,plain,(
% 0.08/15.49 ~identity=sk_c7|~sQ0_spl|sQ18_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f166,f194])).
% 0.08/15.49 fof(f225,plain,(
% 0.08/15.49 ~multiply(sk_c1,sk_c7)=sk_c8|~sQ11_spl|~sQ6_spl),
% 0.08/15.49 inference(resolution,[status(thm)],[f134,f94])).
% 0.08/15.49 fof(f227,plain,(
% 0.08/15.49 ~sk_c7=sk_c8|~multiply(sk_c8,sk_c7)=sk_c8|~sQ11_spl|~sQ0_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f71,f134])).
% 0.08/15.49 fof(f231,plain,(
% 0.08/15.49 ~sk_c8=sk_c8|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f102,f225])).
% 0.08/15.49 fof(f232,plain,(
% 0.08/15.49 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.08/15.49 inference(trivial_equality_resolution,[status(thm)],[f231])).
% 0.08/15.49 fof(f233,plain,(
% 0.08/15.49 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f232])).
% 0.08/15.49 fof(f234,plain,(
% 0.08/15.49 ~multiply(sk_c8,identity)=sk_c7|~inverse(sk_c7)=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f166,f143])).
% 0.08/15.49 fof(f235,plain,(
% 0.08/15.49 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ13_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f36,f143])).
% 0.08/15.49 fof(f236,plain,(
% 0.08/15.49 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~sQ13_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f35,f143])).
% 0.08/15.49 fof(f240,definition,(
% 0.08/15.49 sQ24_spl <=> (multiply(sk_c8,identity)=sk_c7)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f243,definition,(
% 0.08/15.49 sQ25_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f246,plain,(
% 0.08/15.49 ~sQ24_spl|~sQ25_spl|~sQ13_spl|~sQ0_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f234,f240,f243,f139,f70])).
% 0.08/15.49 fof(f247,definition,(
% 0.08/15.49 sQ26_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f250,plain,(
% 0.08/15.49 ~sQ24_spl|~sQ26_spl|~sQ13_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f235,f240,f247,f139])).
% 0.08/15.49 fof(f251,definition,(
% 0.08/15.49 sQ27_spl <=> (inverse(identity)=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f253,plain,(
% 0.08/15.49 ~inverse(identity)=sk_c8|sQ27_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f251])).
% 0.08/15.49 fof(f254,plain,(
% 0.08/15.49 ~sQ20_spl|~sQ27_spl|~sQ13_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f236,f199,f251,f139])).
% 0.08/15.49 fof(f268,plain,(
% 0.08/15.49 sk_c1=multiply(inverse(sk_c8),identity)|~sQ6_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f167,f172])).
% 0.08/15.49 fof(f272,plain,(
% 0.08/15.49 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f35,f172])).
% 0.08/15.49 fof(f275,plain,(
% 0.08/15.49 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f102,f172])).
% 0.08/15.49 fof(f276,plain,(
% 0.08/15.49 sk_c3=multiply(inverse(sk_c2),sk_c7)|~sQ8_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f110,f172])).
% 0.08/15.49 fof(f279,plain,(
% 0.08/15.49 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ4_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f86,f172])).
% 0.08/15.49 fof(f282,plain,(
% 0.08/15.49 sk_c1=multiply(sk_c7,identity)|~sQ0_spl|~sQ6_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f71,f268])).
% 0.08/15.49 fof(f284,plain,(
% 0.08/15.49 sk_c7=multiply(sk_c8,sk_c8)|~sQ6_spl|~sQ7_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f94,f275])).
% 0.08/15.49 fof(f285,plain,(
% 0.08/15.49 $false|sQ20_spl|~sQ6_spl|~sQ7_spl),
% 0.08/15.49 inference(forward_subsumption_resolution,[status(thm)],[f284,f201])).
% 0.08/15.49 fof(f286,plain,(
% 0.08/15.49 sQ20_spl|~sQ6_spl|~sQ7_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f285])).
% 0.08/15.49 fof(f287,plain,(
% 0.08/15.49 sk_c3=multiply(sk_c3,sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f118,f276])).
% 0.08/15.49 fof(f288,plain,(
% 0.08/15.49 sk_c8=multiply(sk_c8,sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f90,f279])).
% 0.08/15.49 fof(f319,plain,(
% 0.08/15.49 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(inverse(identity))=sk_c8|~sQ13_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f272,f143])).
% 0.08/15.49 fof(f322,definition,(
% 0.08/15.49 sQ28_spl <=> (inverse(inverse(identity))=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f325,plain,(
% 0.08/15.49 ~sQ20_spl|~sQ28_spl|~sQ13_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f319,f199,f322,f139])).
% 0.08/15.49 fof(f327,plain,(
% 0.08/15.49 sk_c7=multiply(inverse(sk_c3),sk_c3)|~sQ9_spl|~sQ8_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f287,f172])).
% 0.08/15.49 fof(f330,plain,(
% 0.08/15.49 sk_c7=identity|~sQ9_spl|~sQ8_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f36,f327])).
% 0.08/15.49 fof(f333,plain,(
% 0.08/15.49 sk_c1=multiply(identity,identity)|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f330,f282])).
% 0.08/15.49 fof(f345,plain,(
% 0.08/15.49 sk_c1=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f35,f333])).
% 0.08/15.49 fof(f352,plain,(
% 0.08/15.49 inverse(identity)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f345,f94])).
% 0.08/15.49 fof(f354,plain,(
% 0.08/15.49 $false|sQ27_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl),
% 0.08/15.49 inference(forward_subsumption_resolution,[status(thm)],[f352,f253])).
% 0.08/15.49 fof(f355,plain,(
% 0.08/15.49 sQ27_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f354])).
% 0.08/15.49 fof(f358,plain,(
% 0.08/15.49 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ2_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f78,f172])).
% 0.08/15.49 fof(f360,plain,(
% 0.08/15.49 sk_c7=multiply(sk_c8,sk_c8)|~sQ1_spl|~sQ2_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f74,f358])).
% 0.08/15.49 fof(f367,plain,(
% 0.08/15.49 ~inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f375,f72])).
% 0.08/15.49 fof(f368,plain,(
% 0.08/15.49 inverse(sk_c5)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f375,f90])).
% 0.08/15.49 fof(f370,plain,(
% 0.08/15.49 multiply(sk_c7,sk_c6)=sk_c7|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f375,f82])).
% 0.08/15.49 fof(f371,plain,(
% 0.08/15.49 multiply(sk_c4,sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f375,f78])).
% 0.08/15.49 fof(f372,plain,(
% 0.08/15.49 inverse(sk_c4)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f375,f74])).
% 0.08/15.49 fof(f375,plain,(
% 0.08/15.49 sk_c8=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f82,f288])).
% 0.08/15.49 fof(f391,plain,(
% 0.08/15.49 ~multiply(sk_c7,sk_c8)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ20_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f201])).
% 0.08/15.49 fof(f392,plain,(
% 0.08/15.49 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ20_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f391])).
% 0.08/15.49 fof(f395,plain,(
% 0.08/15.49 multiply(sk_c7,sk_c5)=identity|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f170])).
% 0.08/15.49 fof(f401,plain,(
% 0.08/15.49 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f370,f172])).
% 0.08/15.49 fof(f403,plain,(
% 0.08/15.49 sk_c6=identity|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f36,f401])).
% 0.08/15.49 fof(f404,plain,(
% 0.08/15.49 sk_c7=multiply(inverse(sk_c4),sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f371,f172])).
% 0.08/15.49 fof(f406,plain,(
% 0.08/15.49 sk_c7=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f372,f404])).
% 0.08/15.49 fof(f407,plain,(
% 0.08/15.49 $false|sQ20_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.08/15.49 inference(forward_subsumption_resolution,[status(thm)],[f406,f392])).
% 0.08/15.49 fof(f408,plain,(
% 0.08/15.49 sQ20_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f407])).
% 0.08/15.49 fof(f420,plain,(
% 0.08/15.49 ~identity=sk_c7|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ23_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f403,f217])).
% 0.08/15.49 fof(f424,plain,(
% 0.08/15.49 sk_c7=multiply(sk_c7,sk_c8)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f360])).
% 0.08/15.49 fof(f425,plain,(
% 0.08/15.49 sk_c7=multiply(sk_c7,sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f424])).
% 0.08/15.49 fof(f426,plain,(
% 0.08/15.49 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.08/15.49 inference(paramodulation,[status(thm)],[f425,f172])).
% 0.08/15.49 fof(f428,plain,(
% 0.08/15.49 sk_c7=identity|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f36,f426])).
% 0.08/15.49 fof(f429,plain,(
% 0.08/15.49 $false|sQ17_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.08/15.49 inference(forward_subsumption_resolution,[status(thm)],[f428,f190])).
% 0.08/15.49 fof(f430,plain,(
% 0.08/15.49 sQ17_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f429])).
% 0.08/15.49 fof(f444,definition,(
% 0.08/15.49 sQ29_spl <=> (sk_c7=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f446,plain,(
% 0.08/15.49 ~sk_c7=sk_c8|sQ29_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f444])).
% 0.08/15.49 fof(f447,definition,(
% 0.08/15.49 sQ30_spl <=> (multiply(sk_c8,sk_c7)=sk_c8)),
% 0.08/15.49 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.08/15.49 fof(f449,plain,(
% 0.08/15.49 ~multiply(sk_c8,sk_c7)=sk_c8|sQ30_spl),
% 0.08/15.49 inference(component_clause,[status(thm)],[f447])).
% 0.08/15.49 fof(f450,plain,(
% 0.08/15.49 ~sQ29_spl|~sQ30_spl|~sQ11_spl|~sQ0_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f227,f444,f447,f133,f70])).
% 0.08/15.49 fof(f451,plain,(
% 0.08/15.49 ~sQ17_spl|~sQ0_spl|sQ18_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f223,f188,f70,f192])).
% 0.08/15.49 fof(f452,plain,(
% 0.08/15.49 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|sQ16_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f215])).
% 0.08/15.49 fof(f453,plain,(
% 0.08/15.49 ~sk_c7=sk_c7|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|sQ16_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f425,f452])).
% 0.08/15.49 fof(f454,plain,(
% 0.08/15.49 $false|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|sQ16_spl),
% 0.08/15.49 inference(trivial_equality_resolution,[status(thm)],[f453])).
% 0.08/15.49 fof(f455,plain,(
% 0.08/15.49 ~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|sQ16_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f454])).
% 0.08/15.49 fof(f456,plain,(
% 0.08/15.49 ~sQ17_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ23_spl),
% 0.08/15.49 inference(split_clause,[status(thm)],[f420,f188,f81,f85,f89,f211])).
% 0.08/15.49 fof(f467,plain,(
% 0.08/15.49 ~sk_c7=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ29_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f446])).
% 0.08/15.49 fof(f468,plain,(
% 0.08/15.49 $false|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ29_spl),
% 0.08/15.49 inference(trivial_equality_resolution,[status(thm)],[f467])).
% 0.08/15.49 fof(f469,plain,(
% 0.08/15.49 ~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ29_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f468])).
% 0.08/15.49 fof(f470,plain,(
% 0.08/15.49 ~multiply(sk_c7,sk_c7)=sk_c8|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f449])).
% 0.08/15.49 fof(f471,plain,(
% 0.08/15.49 ~sk_c7=sk_c8|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f425,f470])).
% 0.08/15.49 fof(f472,plain,(
% 0.08/15.49 ~sk_c7=sk_c7|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f375,f471])).
% 0.08/15.49 fof(f473,plain,(
% 0.08/15.49 $false|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.08/15.49 inference(trivial_equality_resolution,[status(thm)],[f472])).
% 0.08/15.49 fof(f474,plain,(
% 0.08/15.49 ~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f473])).
% 0.08/15.49 fof(f490,plain,(
% 0.08/15.49 multiply(identity,sk_c5)=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f428,f395])).
% 0.08/15.49 fof(f496,plain,(
% 0.08/15.49 inverse(sk_c5)=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.08/15.49 inference(backward_demodulation,[status(thm)],[f428,f368])).
% 0.08/15.49 fof(f502,plain,(
% 0.08/15.49 sk_c5=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f35,f490])).
% 0.08/15.49 fof(f515,plain,(
% 0.08/15.49 ~inverse(identity)=sk_c7|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f428,f367])).
% 0.08/15.49 fof(f516,plain,(
% 0.08/15.49 ~inverse(identity)=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f428,f515])).
% 0.08/15.49 fof(f523,plain,(
% 0.08/15.49 inverse(identity)=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f502,f496])).
% 0.08/15.49 fof(f530,plain,(
% 0.08/15.49 ~identity=identity|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.08/15.49 inference(forward_demodulation,[status(thm)],[f523,f516])).
% 0.08/15.49 fof(f531,plain,(
% 0.08/15.49 $false|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.08/15.49 inference(trivial_equality_resolution,[status(thm)],[f530])).
% 0.08/15.49 fof(f532,plain,(
% 0.08/15.49 ~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ0_spl),
% 0.08/15.49 inference(contradiction_clause,[status(thm)],[f531])).
% 0.08/15.49 fof(f533,plain,(
% 0.08/15.49 $false),
% 0.08/15.49 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f142,f163,f191,f195,f202,f206,f210,f214,f221,f233,f246,f250,f254,f286,f325,f355,f408,f430,f450,f451,f455,f456,f469,f474,f532])).
% 0.08/15.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.34/15.50 % Elapsed time: 0.060986 seconds
% 0.34/15.50 % CPU time: 0.254286 seconds
% 0.34/15.50 % Total memory used: 105.730 MB
% 0.34/15.50 % Net memory used: 105.525 MB
%------------------------------------------------------------------------------