%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP321-1 : 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 : n012.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 12:36:26 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP321-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/0.52 % Computer : n012.cluster.edu
% 0.05/0.52 % Model : x86_64 x86_64
% 0.05/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.52 % Memory : 8046.5625MB
% 0.05/0.52 % OS : Linux 6.8.0-71-generic
% 0.05/0.52 % CPULimit : 300
% 0.05/0.52 % WCLimit : 300
% 0.05/0.52 % DateTime : Sun Sep 20 20:08:52 UTC 2026
% 0.05/0.52 % CPUTime :
% 0.08/0.52 % Drodi V4.1.1
% 0.08/0.54 % Refutation found
% 0.08/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.54 fof(f1,axiom,(
% 0.08/0.54 (![X]: (multiply(identity,X) = X ))),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f2,axiom,(
% 0.08/0.54 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f3,axiom,(
% 0.08/0.54 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f4,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f5,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f6,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f7,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f8,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f9,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f10,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f11,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f12,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f13,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f14,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f15,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f16,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f17,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f18,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f19,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f20,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f21,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f22,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f23,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f24,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f25,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f26,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f27,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f28,negated_conjecture,(
% 0.08/0.54 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f29,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f30,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f31,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f32,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f33,negated_conjecture,(
% 0.08/0.54 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f34,negated_conjecture,(
% 0.08/0.54 (![X3,X4,X5,X1,X2]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c7) != sk_c8| inverse(X3) != sk_c7| multiply(sk_c8,X4) != sk_c7| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| multiply(sk_c6,sk_c7) != sk_c8 ) ))),
% 0.08/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.54 fof(f35,plain,(
% 0.08/0.54 ![X0]: (multiply(identity,X0)=X0)),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.54 fof(f36,plain,(
% 0.08/0.54 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.54 fof(f37,plain,(
% 0.08/0.54 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.54 fof(f38,plain,(
% 0.08/0.54 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.54 fof(f39,plain,(
% 0.08/0.54 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.54 fof(f40,plain,(
% 0.08/0.54 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c5,sk_c7)=sk_c6),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.54 fof(f41,plain,(
% 0.08/0.54 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.54 fof(f42,plain,(
% 0.08/0.54 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c6,sk_c7)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.54 fof(f43,plain,(
% 0.08/0.54 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.54 fof(f44,plain,(
% 0.08/0.54 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.54 fof(f45,plain,(
% 0.08/0.54 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.54 fof(f46,plain,(
% 0.08/0.54 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/0.54 fof(f47,plain,(
% 0.08/0.54 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.54 fof(f48,plain,(
% 0.08/0.54 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.54 fof(f49,plain,(
% 0.08/0.54 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.54 fof(f50,plain,(
% 0.08/0.54 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.54 fof(f51,plain,(
% 0.08/0.54 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.54 fof(f52,plain,(
% 0.08/0.54 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/0.54 fof(f53,plain,(
% 0.08/0.54 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/0.54 fof(f54,plain,(
% 0.08/0.54 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f20])).
% 0.08/0.54 fof(f55,plain,(
% 0.08/0.54 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.54 fof(f56,plain,(
% 0.08/0.54 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/0.54 fof(f57,plain,(
% 0.08/0.54 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c6,sk_c7)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.54 fof(f58,plain,(
% 0.08/0.54 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/0.54 fof(f59,plain,(
% 0.08/0.54 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.54 fof(f60,plain,(
% 0.08/0.54 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c7)=sk_c6),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/0.54 fof(f61,plain,(
% 0.08/0.54 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f27])).
% 0.08/0.54 fof(f62,plain,(
% 0.08/0.54 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c6,sk_c7)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.54 fof(f63,plain,(
% 0.08/0.54 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f29])).
% 0.08/0.54 fof(f64,plain,(
% 0.08/0.54 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f30])).
% 0.08/0.54 fof(f65,plain,(
% 0.08/0.54 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.54 fof(f66,plain,(
% 0.08/0.54 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/0.54 fof(f67,plain,(
% 0.08/0.54 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f33])).
% 0.08/0.54 fof(f68,plain,(
% 0.08/0.54 (![X2]: (((![X1]: (((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c7)=sk_c8)|~inverse(X3)=sk_c7))|~multiply(sk_c8,X4)=sk_c7)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X2,sk_c7)=sk_c6)|~inverse(X2)=sk_c7))|~multiply(sk_c6,sk_c7)=sk_c8),
% 0.08/0.54 inference(miniscoping,[status(thm)],[f34])).
% 0.08/0.54 fof(f69,plain,(
% 0.08/0.54 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X4,sk_c7)=sk_c6|~inverse(X4)=sk_c7|~multiply(sk_c6,sk_c7)=sk_c8)),
% 0.08/0.54 inference(cnf_transformation,[status(thm)],[f68])).
% 0.08/0.54 fof(f70,definition,(
% 0.08/0.54 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f71,plain,(
% 0.08/0.54 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f70])).
% 0.08/0.54 fof(f72,plain,(
% 0.08/0.54 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f70])).
% 0.08/0.54 fof(f73,definition,(
% 0.08/0.54 sQ1_spl <=> (multiply(sk_c4,sk_c8)=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f74,plain,(
% 0.08/0.54 multiply(sk_c4,sk_c8)=sk_c7|~sQ1_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f73])).
% 0.08/0.54 fof(f76,plain,(
% 0.08/0.54 sQ0_spl|sQ1_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.08/0.54 fof(f77,definition,(
% 0.08/0.54 sQ2_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f78,plain,(
% 0.08/0.54 inverse(sk_c4)=sk_c8|~sQ2_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f77])).
% 0.08/0.54 fof(f80,plain,(
% 0.08/0.54 sQ0_spl|sQ2_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.08/0.54 fof(f81,definition,(
% 0.08/0.54 sQ3_spl <=> (multiply(sk_c5,sk_c7)=sk_c6)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f82,plain,(
% 0.08/0.54 multiply(sk_c5,sk_c7)=sk_c6|~sQ3_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f81])).
% 0.08/0.54 fof(f84,plain,(
% 0.08/0.54 sQ0_spl|sQ3_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.08/0.54 fof(f85,definition,(
% 0.08/0.54 sQ4_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f86,plain,(
% 0.08/0.54 inverse(sk_c5)=sk_c7|~sQ4_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f85])).
% 0.08/0.54 fof(f88,plain,(
% 0.08/0.54 sQ0_spl|sQ4_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.08/0.54 fof(f89,definition,(
% 0.08/0.54 sQ5_spl <=> (multiply(sk_c6,sk_c7)=sk_c8)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f90,plain,(
% 0.08/0.54 multiply(sk_c6,sk_c7)=sk_c8|~sQ5_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f89])).
% 0.08/0.54 fof(f91,plain,(
% 0.08/0.54 ~multiply(sk_c6,sk_c7)=sk_c8|sQ5_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f89])).
% 0.08/0.54 fof(f92,plain,(
% 0.08/0.54 sQ0_spl|sQ5_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.08/0.54 fof(f93,definition,(
% 0.08/0.54 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f94,plain,(
% 0.08/0.54 multiply(sk_c1,sk_c7)=sk_c8|~sQ6_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f93])).
% 0.08/0.54 fof(f96,plain,(
% 0.08/0.54 sQ6_spl|sQ1_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.08/0.54 fof(f97,plain,(
% 0.08/0.54 sQ6_spl|sQ2_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.08/0.54 fof(f98,plain,(
% 0.08/0.54 sQ6_spl|sQ3_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.08/0.54 fof(f99,plain,(
% 0.08/0.54 sQ6_spl|sQ4_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.08/0.54 fof(f100,plain,(
% 0.08/0.54 sQ6_spl|sQ5_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.08/0.54 fof(f101,definition,(
% 0.08/0.54 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f102,plain,(
% 0.08/0.54 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f101])).
% 0.08/0.54 fof(f104,plain,(
% 0.08/0.54 sQ7_spl|sQ1_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.08/0.54 fof(f105,plain,(
% 0.08/0.54 sQ7_spl|sQ2_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.08/0.54 fof(f106,plain,(
% 0.08/0.54 sQ7_spl|sQ3_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.08/0.54 fof(f107,plain,(
% 0.08/0.54 sQ7_spl|sQ4_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.08/0.54 fof(f108,plain,(
% 0.08/0.54 sQ7_spl|sQ5_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.08/0.54 fof(f109,definition,(
% 0.08/0.54 sQ8_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f110,plain,(
% 0.08/0.54 multiply(sk_c8,sk_c3)=sk_c7|~sQ8_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f109])).
% 0.08/0.54 fof(f112,plain,(
% 0.08/0.54 sQ8_spl|sQ1_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.08/0.54 fof(f113,plain,(
% 0.08/0.54 sQ8_spl|sQ2_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.08/0.54 fof(f114,plain,(
% 0.08/0.54 sQ8_spl|sQ3_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.08/0.54 fof(f115,plain,(
% 0.08/0.54 sQ8_spl|sQ4_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.08/0.54 fof(f116,plain,(
% 0.08/0.54 sQ8_spl|sQ5_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.08/0.54 fof(f117,definition,(
% 0.08/0.54 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f118,plain,(
% 0.08/0.54 multiply(sk_c2,sk_c8)=sk_c3|~sQ9_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f117])).
% 0.08/0.54 fof(f120,plain,(
% 0.08/0.54 sQ9_spl|sQ1_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.08/0.54 fof(f121,plain,(
% 0.08/0.54 sQ9_spl|sQ2_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.08/0.54 fof(f122,plain,(
% 0.08/0.54 sQ9_spl|sQ3_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.08/0.54 fof(f123,plain,(
% 0.08/0.54 sQ9_spl|sQ4_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.08/0.54 fof(f124,plain,(
% 0.08/0.54 sQ9_spl|sQ5_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.08/0.54 fof(f125,definition,(
% 0.08/0.54 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f126,plain,(
% 0.08/0.54 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f125])).
% 0.08/0.54 fof(f128,plain,(
% 0.08/0.54 sQ10_spl|sQ1_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.08/0.54 fof(f129,plain,(
% 0.08/0.54 sQ10_spl|sQ2_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.08/0.54 fof(f130,plain,(
% 0.08/0.54 sQ10_spl|sQ3_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.08/0.54 fof(f131,plain,(
% 0.08/0.54 sQ10_spl|sQ4_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.08/0.54 fof(f132,plain,(
% 0.08/0.54 sQ10_spl|sQ5_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.08/0.54 fof(f133,definition,(
% 0.08/0.54 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f134,plain,(
% 0.08/0.54 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.08/0.54 inference(component_clause,[status(thm)],[f133])).
% 0.08/0.54 fof(f136,definition,(
% 0.08/0.54 ![X1,X2]: (sQ12_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f137,plain,(
% 0.08/0.54 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ12_spl)),
% 0.08/0.54 inference(component_clause,[status(thm)],[f136])).
% 0.08/0.54 fof(f139,definition,(
% 0.08/0.54 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f140,plain,(
% 0.08/0.54 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.08/0.54 inference(component_clause,[status(thm)],[f139])).
% 0.08/0.54 fof(f142,definition,(
% 0.08/0.54 ![X4]: (sQ14_spl <=> (~multiply(X4,sk_c7)=sk_c6|~inverse(X4)=sk_c7))),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f143,plain,(
% 0.08/0.54 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ14_spl)),
% 0.08/0.54 inference(component_clause,[status(thm)],[f142])).
% 0.08/0.54 fof(f145,plain,(
% 0.08/0.54 ~sQ0_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl|~sQ5_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f139,f142,f89])).
% 0.08/0.54 fof(f146,plain,(
% 0.08/0.54 ~inverse(sk_c5)=sk_c7|~sQ14_spl|~sQ3_spl),
% 0.08/0.54 inference(resolution,[status(thm)],[f143,f82])).
% 0.08/0.54 fof(f148,plain,(
% 0.08/0.54 ~sk_c8=sk_c6|~inverse(sk_c1)=sk_c7|~sQ14_spl|~sQ6_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f94,f143])).
% 0.08/0.54 fof(f150,plain,(
% 0.08/0.54 ~sk_c7=sk_c7|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.08/0.54 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.08/0.54 fof(f151,plain,(
% 0.08/0.54 $false|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.08/0.54 inference(trivial_equality_resolution,[status(thm)],[f150])).
% 0.08/0.54 fof(f152,plain,(
% 0.08/0.54 ~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.08/0.54 inference(contradiction_clause,[status(thm)],[f151])).
% 0.08/0.54 fof(f153,plain,(
% 0.08/0.54 ~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ1_spl),
% 0.08/0.54 inference(resolution,[status(thm)],[f140,f74])).
% 0.08/0.54 fof(f154,plain,(
% 0.08/0.54 ~sk_c6=sk_c7|~inverse(sk_c7)=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.08/0.54 fof(f155,plain,(
% 0.08/0.54 ~sk_c3=sk_c7|~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ9_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f118,f140])).
% 0.08/0.54 fof(f157,plain,(
% 0.08/0.54 ~sk_c8=sk_c8|~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.08/0.54 inference(forward_demodulation,[status(thm)],[f78,f153])).
% 0.08/0.54 fof(f158,plain,(
% 0.08/0.54 $false|~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.08/0.54 inference(trivial_equality_resolution,[status(thm)],[f157])).
% 0.08/0.54 fof(f159,plain,(
% 0.08/0.54 ~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.08/0.54 inference(contradiction_clause,[status(thm)],[f158])).
% 0.08/0.54 fof(f160,plain,(
% 0.08/0.54 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.08/0.54 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.08/0.54 fof(f162,plain,(
% 0.08/0.54 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ6_spl),
% 0.08/0.54 inference(resolution,[status(thm)],[f134,f94])).
% 0.08/0.54 fof(f165,plain,(
% 0.08/0.54 ~sk_c7=sk_c7|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.08/0.54 inference(forward_demodulation,[status(thm)],[f102,f162])).
% 0.08/0.54 fof(f166,plain,(
% 0.08/0.54 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.08/0.54 inference(trivial_equality_resolution,[status(thm)],[f165])).
% 0.08/0.54 fof(f167,plain,(
% 0.08/0.54 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.08/0.54 inference(contradiction_clause,[status(thm)],[f166])).
% 0.08/0.54 fof(f178,plain,(
% 0.08/0.54 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c7)=sk_c8|~sQ12_spl|~sQ0_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f71,f160])).
% 0.08/0.54 fof(f179,plain,(
% 0.08/0.54 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f118,f160])).
% 0.08/0.54 fof(f180,plain,(
% 0.08/0.54 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ1_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f74,f160])).
% 0.08/0.54 fof(f181,definition,(
% 0.08/0.54 sQ15_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f184,definition,(
% 0.08/0.54 sQ16_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f187,plain,(
% 0.08/0.54 ~sQ15_spl|~sQ16_spl|~sQ12_spl|~sQ0_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f178,f181,f184,f136,f70])).
% 0.08/0.54 fof(f188,plain,(
% 0.08/0.54 ~sQ8_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f179,f109,f125,f136,f117])).
% 0.08/0.54 fof(f189,definition,(
% 0.08/0.54 sQ17_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f191,plain,(
% 0.08/0.54 ~multiply(sk_c8,sk_c7)=sk_c7|sQ17_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f189])).
% 0.08/0.54 fof(f192,plain,(
% 0.08/0.54 ~sQ17_spl|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f180,f189,f77,f136,f73])).
% 0.08/0.54 fof(f193,definition,(
% 0.08/0.54 sQ18_spl <=> (sk_c6=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f195,plain,(
% 0.08/0.54 ~sk_c6=sk_c7|sQ18_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f193])).
% 0.08/0.54 fof(f196,plain,(
% 0.08/0.54 ~sQ18_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f154,f193,f184,f139,f70])).
% 0.08/0.54 fof(f197,definition,(
% 0.08/0.54 sQ19_spl <=> (sk_c3=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f199,plain,(
% 0.08/0.54 ~sk_c3=sk_c7|sQ19_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f197])).
% 0.08/0.54 fof(f200,plain,(
% 0.08/0.54 ~sQ19_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.08/0.54 inference(split_clause,[status(thm)],[f155,f197,f125,f139,f117])).
% 0.08/0.54 fof(f201,definition,(
% 0.08/0.54 sQ20_spl <=> (sk_c7=sk_c7)),
% 0.08/0.54 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.08/0.54 fof(f203,plain,(
% 0.08/0.54 ~sk_c7=sk_c7|sQ20_spl),
% 0.08/0.54 inference(component_clause,[status(thm)],[f201])).
% 0.08/0.54 fof(f205,plain,(
% 0.08/0.54 $false|sQ20_spl),
% 0.08/0.54 inference(trivial_equality_resolution,[status(thm)],[f203])).
% 0.08/0.54 fof(f206,plain,(
% 0.08/0.54 sQ20_spl),
% 0.08/0.54 inference(contradiction_clause,[status(thm)],[f205])).
% 0.08/0.54 fof(f209,plain,(
% 0.08/0.54 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.08/0.54 fof(f211,plain,(
% 0.08/0.54 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.08/0.54 fof(f212,plain,(
% 0.08/0.54 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.08/0.54 inference(forward_demodulation,[status(thm)],[f35,f211])).
% 0.08/0.54 fof(f224,plain,(
% 0.08/0.54 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f35,f212])).
% 0.08/0.54 fof(f229,plain,(
% 0.08/0.54 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ6_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f94,f212])).
% 0.08/0.54 fof(f232,plain,(
% 0.08/0.54 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ9_spl),
% 0.08/0.54 inference(paramodulation,[status(thm)],[f118,f212])).
% 0.08/0.54 fof(f235,plain,(
% 0.08/0.54 sk_c7=multiply(sk_c7,sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.08/0.54 inference(forward_demodulation,[status(thm)],[f102,f229])).
% 0.08/0.54 fof(f236,plain,(
% 0.08/0.54 sk_c7=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.08/0.54 inference(forward_demodulation,[status(thm)],[f71,f235])).
% 0.08/0.54 fof(f237,plain,(
% 0.08/0.54 $false|sQ18_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.08/0.54 inference(forward_subsumption_resolution,[status(thm)],[f236,f195])).
% 0.08/0.55 fof(f238,plain,(
% 0.08/0.55 sQ18_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f237])).
% 0.08/0.55 fof(f239,plain,(
% 0.08/0.55 sk_c8=multiply(sk_c8,sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f126,f232])).
% 0.08/0.55 fof(f243,plain,(
% 0.08/0.55 ~multiply(sk_c6,sk_c6)=sk_c8|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ5_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f236,f91])).
% 0.08/0.55 fof(f247,plain,(
% 0.08/0.55 ~sk_c3=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ19_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f236,f199])).
% 0.08/0.55 fof(f248,plain,(
% 0.08/0.55 multiply(sk_c6,sk_c8)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f236,f71])).
% 0.08/0.55 fof(f251,plain,(
% 0.08/0.55 multiply(sk_c8,sk_c3)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f236,f110])).
% 0.08/0.55 fof(f256,plain,(
% 0.08/0.55 sk_c8=multiply(inverse(sk_c6),sk_c6)|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f248,f212])).
% 0.08/0.55 fof(f258,plain,(
% 0.08/0.55 sk_c8=identity|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f36,f256])).
% 0.08/0.55 fof(f259,plain,(
% 0.08/0.55 multiply(sk_c8,sk_c2)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f258,f209])).
% 0.08/0.55 fof(f261,plain,(
% 0.08/0.55 ![X0]: (multiply(sk_c8,X0)=X0|~sQ7_spl|~sQ6_spl|~sQ0_spl)),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f258,f35])).
% 0.08/0.55 fof(f277,plain,(
% 0.08/0.55 ![X0]: (multiply(sk_c3,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl)),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f285,f261])).
% 0.08/0.55 fof(f281,plain,(
% 0.08/0.55 ~multiply(sk_c6,sk_c6)=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ5_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f285,f243])).
% 0.08/0.55 fof(f284,plain,(
% 0.08/0.55 inverse(sk_c2)=sk_c3|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f285,f126])).
% 0.08/0.55 fof(f285,plain,(
% 0.08/0.55 sk_c8=sk_c3|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f261,f239])).
% 0.08/0.55 fof(f288,plain,(
% 0.08/0.55 ![X0]: (X0=multiply(sk_c3,multiply(sk_c2,X0))|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl)),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f284,f212])).
% 0.08/0.55 fof(f289,plain,(
% 0.08/0.55 ![X0]: (X0=multiply(sk_c2,X0)|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl)),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f277,f288])).
% 0.08/0.55 fof(f301,plain,(
% 0.08/0.55 multiply(sk_c3,sk_c3)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f285,f251])).
% 0.08/0.55 fof(f302,plain,(
% 0.08/0.55 sk_c3=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f277,f301])).
% 0.08/0.55 fof(f303,plain,(
% 0.08/0.55 $false|sQ19_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.08/0.55 inference(forward_subsumption_resolution,[status(thm)],[f302,f247])).
% 0.08/0.55 fof(f304,plain,(
% 0.08/0.55 sQ19_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f303])).
% 0.08/0.55 fof(f327,plain,(
% 0.08/0.55 multiply(sk_c3,sk_c2)=sk_c8|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f285,f259])).
% 0.08/0.55 fof(f328,plain,(
% 0.08/0.55 sk_c2=sk_c3|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f329,f285])).
% 0.08/0.55 fof(f329,plain,(
% 0.08/0.55 sk_c2=sk_c8|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f277,f327])).
% 0.08/0.55 fof(f334,plain,(
% 0.08/0.55 sk_c2=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f328,f302])).
% 0.08/0.55 fof(f355,plain,(
% 0.08/0.55 ~multiply(sk_c2,sk_c6)=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ5_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f334,f281])).
% 0.08/0.55 fof(f356,plain,(
% 0.08/0.55 ~sk_c6=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ5_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f289,f355])).
% 0.08/0.55 fof(f357,plain,(
% 0.08/0.55 ~sk_c2=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ5_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f334,f356])).
% 0.08/0.55 fof(f358,plain,(
% 0.08/0.55 ~sk_c2=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ5_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f328,f357])).
% 0.08/0.55 fof(f359,plain,(
% 0.08/0.55 $false|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ5_spl),
% 0.08/0.55 inference(trivial_equality_resolution,[status(thm)],[f358])).
% 0.08/0.55 fof(f360,plain,(
% 0.08/0.55 ~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ5_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f359])).
% 0.08/0.55 fof(f369,definition,(
% 0.08/0.55 sQ21_spl <=> (sk_c8=sk_c6)),
% 0.08/0.55 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.08/0.55 fof(f371,plain,(
% 0.08/0.55 ~sk_c8=sk_c6|sQ21_spl),
% 0.08/0.55 inference(component_clause,[status(thm)],[f369])).
% 0.08/0.55 fof(f381,plain,(
% 0.08/0.55 ~sQ21_spl|~sQ7_spl|~sQ14_spl|~sQ6_spl),
% 0.08/0.55 inference(split_clause,[status(thm)],[f148,f369,f101,f142,f93])).
% 0.08/0.55 fof(f382,plain,(
% 0.08/0.55 ~sk_c2=sk_c6|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|sQ21_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f329,f371])).
% 0.08/0.55 fof(f383,plain,(
% 0.08/0.55 ~sk_c2=sk_c2|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|sQ21_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f334,f382])).
% 0.08/0.55 fof(f384,plain,(
% 0.08/0.55 $false|~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|sQ21_spl),
% 0.08/0.55 inference(trivial_equality_resolution,[status(thm)],[f383])).
% 0.08/0.55 fof(f385,plain,(
% 0.08/0.55 ~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ10_spl|sQ21_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f384])).
% 0.08/0.55 fof(f386,definition,(
% 0.08/0.55 sQ23_spl <=> (sk_c8=sk_c8)),
% 0.08/0.55 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.08/0.55 fof(f388,plain,(
% 0.08/0.55 ~sk_c8=sk_c8|sQ23_spl),
% 0.08/0.55 inference(component_clause,[status(thm)],[f386])).
% 0.08/0.55 fof(f392,plain,(
% 0.08/0.55 sk_c7=multiply(inverse(sk_c5),sk_c6)|~sQ3_spl),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f82,f212])).
% 0.08/0.55 fof(f394,plain,(
% 0.08/0.55 sk_c7=multiply(sk_c7,sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f86,f392])).
% 0.08/0.55 fof(f397,plain,(
% 0.08/0.55 ![X0]: (multiply(identity,X0)=X0)),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f212,f224])).
% 0.08/0.55 fof(f405,plain,(
% 0.08/0.55 sk_c8=multiply(inverse(sk_c4),sk_c7)|~sQ1_spl),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f74,f212])).
% 0.08/0.55 fof(f407,plain,(
% 0.08/0.55 sk_c8=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f78,f405])).
% 0.08/0.55 fof(f409,plain,(
% 0.08/0.55 multiply(sk_c7,sk_c5)=identity|~sQ4_spl),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f86,f36])).
% 0.08/0.55 fof(f410,plain,(
% 0.08/0.55 multiply(sk_c8,sk_c4)=identity|~sQ2_spl),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.08/0.55 fof(f418,plain,(
% 0.08/0.55 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ4_spl|~sQ3_spl),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f394,f212])).
% 0.08/0.55 fof(f420,plain,(
% 0.08/0.55 sk_c6=identity|~sQ4_spl|~sQ3_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f36,f418])).
% 0.08/0.55 fof(f422,plain,(
% 0.08/0.55 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ4_spl|~sQ3_spl)),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f420,f36])).
% 0.08/0.55 fof(f423,plain,(
% 0.08/0.55 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f420,f397])).
% 0.08/0.55 fof(f425,plain,(
% 0.08/0.55 sk_c7=sk_c8|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f423,f90])).
% 0.08/0.55 fof(f430,plain,(
% 0.08/0.55 multiply(sk_c8,sk_c8)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ0_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f425,f71])).
% 0.08/0.55 fof(f434,plain,(
% 0.08/0.55 inverse(sk_c5)=sk_c8|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f425,f86])).
% 0.08/0.55 fof(f437,plain,(
% 0.08/0.55 sk_c8=multiply(sk_c8,sk_c8)|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f425,f407])).
% 0.08/0.55 fof(f440,plain,(
% 0.08/0.55 multiply(sk_c8,sk_c5)=identity|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f425,f409])).
% 0.08/0.55 fof(f441,plain,(
% 0.08/0.55 multiply(sk_c8,sk_c5)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f420,f440])).
% 0.08/0.55 fof(f445,plain,(
% 0.08/0.55 multiply(sk_c8,sk_c4)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f420,f410])).
% 0.08/0.55 fof(f455,plain,(
% 0.08/0.55 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ11_spl)),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f425,f134])).
% 0.08/0.55 fof(f456,plain,(
% 0.08/0.55 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ11_spl)),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f425,f455])).
% 0.08/0.55 fof(f460,plain,(
% 0.08/0.55 ~sk_c8=sk_c8|~inverse(sk_c6)=sk_c8|~sQ5_spl|~sQ11_spl|~sQ4_spl|~sQ3_spl),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f423,f456])).
% 0.08/0.55 fof(f467,definition,(
% 0.08/0.55 sQ25_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.08/0.55 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.08/0.55 fof(f469,plain,(
% 0.08/0.55 ~inverse(sk_c6)=sk_c8|sQ25_spl),
% 0.08/0.55 inference(component_clause,[status(thm)],[f467])).
% 0.08/0.55 fof(f470,plain,(
% 0.08/0.55 ~sQ23_spl|~sQ25_spl|~sQ5_spl|~sQ11_spl|~sQ4_spl|~sQ3_spl),
% 0.08/0.55 inference(split_clause,[status(thm)],[f460,f386,f467,f89,f133,f85,f81])).
% 0.08/0.55 fof(f475,plain,(
% 0.08/0.55 $false|sQ23_spl),
% 0.08/0.55 inference(trivial_equality_resolution,[status(thm)],[f388])).
% 0.08/0.55 fof(f476,plain,(
% 0.08/0.55 sQ23_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f475])).
% 0.08/0.55 fof(f477,plain,(
% 0.08/0.55 ~multiply(sk_c8,sk_c8)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ5_spl|sQ17_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f425,f191])).
% 0.08/0.55 fof(f478,plain,(
% 0.08/0.55 ~sk_c8=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|sQ17_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f437,f477])).
% 0.08/0.55 fof(f479,plain,(
% 0.08/0.55 ~sk_c8=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|sQ17_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f425,f478])).
% 0.08/0.55 fof(f480,plain,(
% 0.08/0.55 $false|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|sQ17_spl),
% 0.08/0.55 inference(trivial_equality_resolution,[status(thm)],[f479])).
% 0.08/0.55 fof(f481,plain,(
% 0.08/0.55 ~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|sQ17_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f480])).
% 0.08/0.55 fof(f493,plain,(
% 0.08/0.55 sk_c8=sk_c6|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f430,f437])).
% 0.08/0.55 fof(f501,plain,(
% 0.08/0.55 multiply(sk_c6,sk_c4)=sk_c6|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f493,f445])).
% 0.08/0.55 fof(f502,plain,(
% 0.08/0.55 multiply(sk_c6,sk_c5)=sk_c6|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f493,f441])).
% 0.08/0.55 fof(f503,plain,(
% 0.08/0.55 inverse(sk_c5)=sk_c6|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f493,f434])).
% 0.08/0.55 fof(f509,plain,(
% 0.08/0.55 sk_c4=sk_c6|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f423,f501])).
% 0.08/0.55 fof(f510,plain,(
% 0.08/0.55 sk_c5=sk_c6|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f423,f502])).
% 0.08/0.55 fof(f511,plain,(
% 0.08/0.55 sk_c8=sk_c4|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f509,f493])).
% 0.08/0.55 fof(f518,plain,(
% 0.08/0.55 sk_c4=sk_c5|~sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f510,f509])).
% 0.08/0.55 fof(f522,plain,(
% 0.08/0.55 sk_c8=sk_c5|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f518,f511])).
% 0.08/0.55 fof(f523,plain,(
% 0.08/0.55 ~inverse(sk_c5)=sk_c8|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ25_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f510,f469])).
% 0.08/0.55 fof(f524,plain,(
% 0.08/0.55 ~inverse(sk_c5)=sk_c5|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|sQ25_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f522,f523])).
% 0.08/0.55 fof(f539,definition,(
% 0.08/0.55 sQ27_spl <=> (sk_c5=sk_c5)),
% 0.08/0.55 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.08/0.55 fof(f541,plain,(
% 0.08/0.55 ~sk_c5=sk_c5|sQ27_spl),
% 0.08/0.55 inference(component_clause,[status(thm)],[f539])).
% 0.08/0.55 fof(f546,plain,(
% 0.08/0.55 $false|sQ27_spl),
% 0.08/0.55 inference(trivial_equality_resolution,[status(thm)],[f541])).
% 0.08/0.55 fof(f547,plain,(
% 0.08/0.55 sQ27_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f546])).
% 0.08/0.55 fof(f552,plain,(
% 0.08/0.55 inverse(sk_c5)=sk_c5|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f510,f503])).
% 0.08/0.55 fof(f553,plain,(
% 0.08/0.55 $false|sQ25_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(forward_subsumption_resolution,[status(thm)],[f552,f524])).
% 0.08/0.55 fof(f554,plain,(
% 0.08/0.55 sQ25_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f553])).
% 0.08/0.55 fof(f582,plain,(
% 0.08/0.55 ~multiply(sk_c8,sk_c8)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ5_spl|sQ0_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f425,f72])).
% 0.08/0.55 fof(f599,plain,(
% 0.08/0.55 ~sk_c8=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|sQ0_spl),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f437,f582])).
% 0.08/0.55 fof(f601,plain,(
% 0.08/0.55 sk_c8=multiply(inverse(sk_c8),sk_c8)|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(paramodulation,[status(thm)],[f437,f212])).
% 0.08/0.55 fof(f604,plain,(
% 0.08/0.55 sk_c8=sk_c6|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(forward_demodulation,[status(thm)],[f422,f601])).
% 0.08/0.55 fof(f605,plain,(
% 0.08/0.55 $false|sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(forward_subsumption_resolution,[status(thm)],[f604,f599])).
% 0.08/0.55 fof(f606,plain,(
% 0.08/0.55 sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.08/0.55 inference(contradiction_clause,[status(thm)],[f605])).
% 0.08/0.55 fof(f607,plain,(
% 0.08/0.55 $false),
% 0.08/0.55 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,f145,f152,f159,f167,f187,f188,f192,f196,f200,f206,f238,f304,f360,f381,f385,f470,f476,f481,f547,f554,f606])).
% 0.08/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.56 % Elapsed time: 0.035267 seconds
% 0.08/0.56 % CPU time: 0.105759 seconds
% 0.08/0.56 % Total memory used: 103.903 MB
% 0.08/0.56 % Net memory used: 103.685 MB
%------------------------------------------------------------------------------