TSTP Solution File: GRP378-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP378-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:11:31 EDT 2023
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP378-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n032.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:29:16 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.32 % Drodi V3.5.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,axiom,(
% 0.15/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,axiom,(
% 0.15/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f3,axiom,(
% 0.15/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f5,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f8,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f9,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f12,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f14,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f15,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f16,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f17,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f24,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f25,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f34,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f35,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f44,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f45,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f54,negated_conjecture,(
% 0.15/0.39 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( inverse(sk_c11) != sk_c10| multiply(sk_c11,sk_c9) != sk_c10| multiply(X3,X4) != sk_c11| inverse(X3) != X4| multiply(X4,sk_c10) != sk_c11| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c11| inverse(X7) != X8| inverse(X8) != X6| multiply(X7,X6) != X8 ) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f55,plain,(
% 0.15/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.39 fof(f56,plain,(
% 0.15/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.39 fof(f57,plain,(
% 0.15/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.39 fof(f58,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.39 fof(f59,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.39 fof(f62,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.39 fof(f63,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.39 fof(f66,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.39 fof(f68,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.39 fof(f69,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.39 fof(f70,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.39 fof(f71,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.39 fof(f78,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.39 fof(f79,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.39 fof(f88,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f34])).
% 0.15/0.39 fof(f89,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f35])).
% 0.15/0.39 fof(f98,plain,(
% 0.15/0.39 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f44])).
% 0.15/0.39 fof(f99,plain,(
% 0.15/0.39 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f45])).
% 0.15/0.39 fof(f108,plain,(
% 0.15/0.39 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((![X3]: (((~inverse(sk_c11)=sk_c10|~multiply(sk_c11,sk_c9)=sk_c10)|~multiply(X3,X4)=sk_c11)|~inverse(X3)=X4))|~multiply(X4,sk_c10)=sk_c11))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c11)|~inverse(X7)=X8)|~inverse(X8)=X6)|~multiply(X7,X6)=X8)),
% 0.15/0.39 inference(miniscoping,[status(esa)],[f54])).
% 0.15/0.39 fof(f109,plain,(
% 0.15/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(sk_c11)=sk_c10|~multiply(sk_c11,sk_c9)=sk_c10|~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f108])).
% 0.15/0.39 fof(f110,plain,(
% 0.15/0.39 spl0_0 <=> inverse(sk_c11)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f111,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|~spl0_0),
% 0.15/0.39 inference(component_clause,[status(thm)],[f110])).
% 0.15/0.39 fof(f112,plain,(
% 0.15/0.39 ~inverse(sk_c11)=sk_c10|spl0_0),
% 0.15/0.39 inference(component_clause,[status(thm)],[f110])).
% 0.15/0.39 fof(f113,plain,(
% 0.15/0.39 spl0_1 <=> multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f114,plain,(
% 0.15/0.39 multiply(sk_c3,sk_c11)=sk_c10|~spl0_1),
% 0.15/0.39 inference(component_clause,[status(thm)],[f113])).
% 0.15/0.39 fof(f116,plain,(
% 0.15/0.39 spl0_0|spl0_1),
% 0.15/0.39 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 0.15/0.39 fof(f117,plain,(
% 0.15/0.39 spl0_2 <=> inverse(sk_c3)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f118,plain,(
% 0.15/0.39 inverse(sk_c3)=sk_c11|~spl0_2),
% 0.15/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.39 fof(f120,plain,(
% 0.15/0.39 spl0_0|spl0_2),
% 0.15/0.39 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 0.15/0.39 fof(f121,plain,(
% 0.15/0.39 spl0_3 <=> multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f122,plain,(
% 0.15/0.39 multiply(sk_c4,sk_c10)=sk_c9|~spl0_3),
% 0.15/0.39 inference(component_clause,[status(thm)],[f121])).
% 0.15/0.39 fof(f125,plain,(
% 0.15/0.39 spl0_4 <=> inverse(sk_c4)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f126,plain,(
% 0.15/0.39 inverse(sk_c4)=sk_c10|~spl0_4),
% 0.15/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.39 fof(f129,plain,(
% 0.15/0.39 spl0_5 <=> multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f130,plain,(
% 0.15/0.39 multiply(sk_c5,sk_c8)=sk_c11|~spl0_5),
% 0.15/0.39 inference(component_clause,[status(thm)],[f129])).
% 0.15/0.39 fof(f132,plain,(
% 0.15/0.39 spl0_0|spl0_5),
% 0.15/0.39 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 0.15/0.39 fof(f133,plain,(
% 0.15/0.39 spl0_6 <=> inverse(sk_c5)=sk_c8),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f134,plain,(
% 0.15/0.39 inverse(sk_c5)=sk_c8|~spl0_6),
% 0.15/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.39 fof(f136,plain,(
% 0.15/0.39 spl0_0|spl0_6),
% 0.15/0.39 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 0.15/0.39 fof(f145,plain,(
% 0.15/0.39 spl0_9 <=> inverse(sk_c6)=sk_c8),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f146,plain,(
% 0.15/0.39 inverse(sk_c6)=sk_c8|~spl0_9),
% 0.15/0.39 inference(component_clause,[status(thm)],[f145])).
% 0.15/0.39 fof(f148,plain,(
% 0.15/0.39 spl0_0|spl0_9),
% 0.15/0.39 inference(split_clause,[status(thm)],[f66,f110,f145])).
% 0.15/0.39 fof(f153,plain,(
% 0.15/0.39 spl0_11 <=> multiply(sk_c11,sk_c9)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f154,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|~spl0_11),
% 0.15/0.39 inference(component_clause,[status(thm)],[f153])).
% 0.15/0.39 fof(f155,plain,(
% 0.15/0.39 ~multiply(sk_c11,sk_c9)=sk_c10|spl0_11),
% 0.15/0.39 inference(component_clause,[status(thm)],[f153])).
% 0.15/0.39 fof(f156,plain,(
% 0.15/0.39 spl0_11|spl0_1),
% 0.15/0.39 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 0.15/0.39 fof(f157,plain,(
% 0.15/0.39 spl0_11|spl0_2),
% 0.15/0.39 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 0.15/0.39 fof(f158,plain,(
% 0.15/0.39 spl0_11|spl0_3),
% 0.15/0.39 inference(split_clause,[status(thm)],[f70,f153,f121])).
% 0.15/0.39 fof(f159,plain,(
% 0.15/0.39 spl0_11|spl0_4),
% 0.15/0.39 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 0.15/0.39 fof(f166,plain,(
% 0.15/0.39 spl0_12 <=> multiply(sk_c1,sk_c2)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f167,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c11|~spl0_12),
% 0.15/0.39 inference(component_clause,[status(thm)],[f166])).
% 0.15/0.39 fof(f169,plain,(
% 0.15/0.39 spl0_12|spl0_1),
% 0.15/0.39 inference(split_clause,[status(thm)],[f78,f166,f113])).
% 0.15/0.39 fof(f170,plain,(
% 0.15/0.39 spl0_12|spl0_2),
% 0.15/0.39 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 0.15/0.39 fof(f179,plain,(
% 0.15/0.39 spl0_13 <=> inverse(sk_c1)=sk_c2),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f180,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|~spl0_13),
% 0.15/0.39 inference(component_clause,[status(thm)],[f179])).
% 0.15/0.39 fof(f182,plain,(
% 0.15/0.39 spl0_13|spl0_1),
% 0.15/0.39 inference(split_clause,[status(thm)],[f88,f179,f113])).
% 0.15/0.39 fof(f183,plain,(
% 0.15/0.39 spl0_13|spl0_2),
% 0.15/0.39 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 0.15/0.39 fof(f192,plain,(
% 0.15/0.39 spl0_14 <=> multiply(sk_c2,sk_c10)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f193,plain,(
% 0.15/0.39 multiply(sk_c2,sk_c10)=sk_c11|~spl0_14),
% 0.15/0.39 inference(component_clause,[status(thm)],[f192])).
% 0.15/0.39 fof(f195,plain,(
% 0.15/0.39 spl0_14|spl0_1),
% 0.15/0.39 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 0.15/0.39 fof(f196,plain,(
% 0.15/0.39 spl0_14|spl0_2),
% 0.15/0.39 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 0.15/0.39 fof(f205,plain,(
% 0.15/0.39 spl0_15 <=> ~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f206,plain,(
% 0.15/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~spl0_15)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f205])).
% 0.15/0.39 fof(f208,plain,(
% 0.15/0.39 spl0_16 <=> ~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f209,plain,(
% 0.15/0.39 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~spl0_16)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f208])).
% 0.15/0.39 fof(f211,plain,(
% 0.15/0.39 spl0_17 <=> ~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f212,plain,(
% 0.15/0.39 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_17)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f211])).
% 0.15/0.39 fof(f214,plain,(
% 0.15/0.39 spl0_18 <=> ~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f215,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~spl0_18)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f214])).
% 0.15/0.39 fof(f217,plain,(
% 0.15/0.39 ~spl0_0|~spl0_11|spl0_15|spl0_16|spl0_17|spl0_18),
% 0.15/0.39 inference(split_clause,[status(thm)],[f109,f110,f153,f205,f208,f211,f214])).
% 0.15/0.39 fof(f218,plain,(
% 0.15/0.39 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_18)),
% 0.15/0.39 inference(destructive_equality_resolution,[status(esa)],[f215])).
% 0.15/0.39 fof(f223,plain,(
% 0.15/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f56,f57])).
% 0.15/0.39 fof(f224,plain,(
% 0.15/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f55,f223])).
% 0.15/0.39 fof(f225,plain,(
% 0.15/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f224,f224])).
% 0.15/0.39 fof(f226,plain,(
% 0.15/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f56,f224])).
% 0.15/0.39 fof(f228,plain,(
% 0.15/0.39 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f57,f224])).
% 0.15/0.39 fof(f236,plain,(
% 0.15/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f56,f225])).
% 0.15/0.39 fof(f245,plain,(
% 0.15/0.39 inverse(identity)=identity),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f55,f236])).
% 0.15/0.39 fof(f264,plain,(
% 0.15/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f225,f226])).
% 0.15/0.39 fof(f265,plain,(
% 0.15/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f225,f264])).
% 0.15/0.39 fof(f266,plain,(
% 0.15/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f264,f265])).
% 0.15/0.39 fof(f292,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f57,f228])).
% 0.15/0.39 fof(f293,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f57,f292])).
% 0.15/0.39 fof(f317,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f236,f228])).
% 0.15/0.39 fof(f318,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f264,f317])).
% 0.15/0.39 fof(f413,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f318,f318])).
% 0.15/0.39 fof(f414,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f266,f413])).
% 0.15/0.39 fof(f691,plain,(
% 0.15/0.39 inverse(sk_c2)=sk_c1|~spl0_13),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f180,f266])).
% 0.15/0.39 fof(f694,plain,(
% 0.15/0.39 multiply(sk_c2,sk_c1)=identity|~spl0_13),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f180,f56])).
% 0.15/0.39 fof(f696,plain,(
% 0.15/0.39 inverse(sk_c8)=sk_c6|~spl0_9),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f146,f266])).
% 0.15/0.39 fof(f697,plain,(
% 0.15/0.39 multiply(sk_c6,sk_c8)=identity|~spl0_9),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f146,f236])).
% 0.15/0.39 fof(f708,plain,(
% 0.15/0.39 inverse(sk_c8)=sk_c5|~spl0_6),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f134,f266])).
% 0.15/0.39 fof(f721,plain,(
% 0.15/0.39 inverse(sk_c10)=sk_c4|~spl0_4),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f126,f266])).
% 0.15/0.39 fof(f726,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c3|~spl0_2),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f118,f266])).
% 0.15/0.39 fof(f727,plain,(
% 0.15/0.39 multiply(sk_c3,sk_c11)=identity|~spl0_2),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f118,f236])).
% 0.15/0.39 fof(f731,plain,(
% 0.15/0.39 inverse(sk_c10)=sk_c11|~spl0_0),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f111,f266])).
% 0.15/0.39 fof(f745,plain,(
% 0.15/0.39 sk_c6=sk_c5|~spl0_9|~spl0_6),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f696,f708])).
% 0.15/0.39 fof(f753,plain,(
% 0.15/0.39 sk_c10=sk_c3|~spl0_0|~spl0_2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f111,f726])).
% 0.15/0.39 fof(f760,plain,(
% 0.15/0.39 inverse(sk_c1)=multiply(sk_c2,inverse(sk_c11))|~spl0_12),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f167,f414])).
% 0.15/0.39 fof(f761,plain,(
% 0.15/0.39 sk_c2=multiply(sk_c2,inverse(sk_c11))|~spl0_13|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f180,f760])).
% 0.15/0.39 fof(f762,plain,(
% 0.15/0.39 sk_c2=multiply(sk_c2,sk_c10)|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f111,f761])).
% 0.15/0.39 fof(f763,plain,(
% 0.15/0.39 sk_c2=sk_c11|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f193,f762])).
% 0.15/0.39 fof(f788,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c11)=sk_c11|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f763,f167])).
% 0.15/0.39 fof(f789,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c1|~spl0_14|~spl0_0|~spl0_12|~spl0_13),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f763,f691])).
% 0.15/0.39 fof(f790,plain,(
% 0.15/0.39 sk_c10=sk_c1|~spl0_14|~spl0_0|~spl0_12|~spl0_13),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f111,f789])).
% 0.15/0.39 fof(f855,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c11)=sk_c10|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f753,f114])).
% 0.15/0.39 fof(f856,plain,(
% 0.15/0.39 ![X0,X1]: (sk_c11=multiply(inverse(multiply(X0,multiply(X1,sk_c10))),multiply(X0,multiply(X1,sk_c10)))|~spl0_0|~spl0_2|~spl0_1)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f855,f293])).
% 0.15/0.39 fof(f857,plain,(
% 0.15/0.39 sk_c11=identity|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f56,f856])).
% 0.15/0.39 fof(f863,plain,(
% 0.15/0.39 inverse(sk_c11)=multiply(inverse(sk_c10),sk_c10)|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f855,f318])).
% 0.15/0.39 fof(f864,plain,(
% 0.15/0.39 sk_c10=multiply(inverse(sk_c10),sk_c10)|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f111,f863])).
% 0.15/0.39 fof(f865,plain,(
% 0.15/0.39 sk_c10=identity|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f56,f864])).
% 0.15/0.39 fof(f873,plain,(
% 0.15/0.39 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_18)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f236,f218])).
% 0.15/0.39 fof(f874,plain,(
% 0.15/0.39 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_18)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f266,f873])).
% 0.15/0.39 fof(f875,plain,(
% 0.15/0.39 ![X0]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_18)),
% 0.15/0.39 inference(destructive_equality_resolution,[status(esa)],[f874])).
% 0.15/0.39 fof(f876,plain,(
% 0.15/0.39 spl0_19 <=> identity=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f877,plain,(
% 0.15/0.39 identity=sk_c11|~spl0_19),
% 0.15/0.39 inference(component_clause,[status(thm)],[f876])).
% 0.15/0.39 fof(f878,plain,(
% 0.15/0.39 ~identity=sk_c11|spl0_19),
% 0.15/0.39 inference(component_clause,[status(thm)],[f876])).
% 0.15/0.39 fof(f879,plain,(
% 0.15/0.39 spl0_20 <=> multiply(inverse(sk_c10),sk_c10)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f880,plain,(
% 0.15/0.39 multiply(inverse(sk_c10),sk_c10)=sk_c11|~spl0_20),
% 0.15/0.39 inference(component_clause,[status(thm)],[f879])).
% 0.15/0.39 fof(f881,plain,(
% 0.15/0.39 ~multiply(inverse(sk_c10),sk_c10)=sk_c11|spl0_20),
% 0.15/0.39 inference(component_clause,[status(thm)],[f879])).
% 0.15/0.39 fof(f900,plain,(
% 0.15/0.39 spl0_25 <=> multiply(inverse(identity),sk_c10)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f901,plain,(
% 0.15/0.39 multiply(inverse(identity),sk_c10)=sk_c11|~spl0_25),
% 0.15/0.39 inference(component_clause,[status(thm)],[f900])).
% 0.15/0.39 fof(f902,plain,(
% 0.15/0.39 ~multiply(inverse(identity),sk_c10)=sk_c11|spl0_25),
% 0.15/0.39 inference(component_clause,[status(thm)],[f900])).
% 0.15/0.39 fof(f903,plain,(
% 0.15/0.39 spl0_26 <=> multiply(identity,inverse(identity))=inverse(inverse(identity))),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f905,plain,(
% 0.15/0.39 ~multiply(identity,inverse(identity))=inverse(inverse(identity))|spl0_26),
% 0.15/0.39 inference(component_clause,[status(thm)],[f903])).
% 0.15/0.39 fof(f906,plain,(
% 0.15/0.39 ~identity=sk_c11|~multiply(inverse(identity),sk_c10)=sk_c11|~multiply(identity,inverse(identity))=inverse(inverse(identity))|~spl0_18),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f245,f875])).
% 0.15/0.39 fof(f907,plain,(
% 0.15/0.39 ~spl0_19|~spl0_25|~spl0_26|~spl0_18),
% 0.15/0.39 inference(split_clause,[status(thm)],[f906,f876,f900,f903,f214])).
% 0.15/0.39 fof(f923,plain,(
% 0.15/0.39 spl0_30 <=> multiply(inverse(identity),identity)=inverse(inverse(identity))),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f925,plain,(
% 0.15/0.39 ~multiply(inverse(identity),identity)=inverse(inverse(identity))|spl0_30),
% 0.15/0.39 inference(component_clause,[status(thm)],[f923])).
% 0.15/0.39 fof(f928,plain,(
% 0.15/0.39 ~identity=inverse(inverse(identity))|spl0_30),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f56,f925])).
% 0.15/0.39 fof(f929,plain,(
% 0.15/0.39 ~identity=identity|spl0_30),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f266,f928])).
% 0.15/0.39 fof(f930,plain,(
% 0.15/0.39 $false|spl0_30),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f929])).
% 0.15/0.39 fof(f931,plain,(
% 0.15/0.39 spl0_30),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f930])).
% 0.15/0.39 fof(f936,plain,(
% 0.15/0.39 ~inverse(identity)=inverse(inverse(identity))|spl0_26),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f55,f905])).
% 0.15/0.39 fof(f937,plain,(
% 0.15/0.39 ~identity=inverse(inverse(identity))|spl0_26),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f245,f936])).
% 0.15/0.39 fof(f938,plain,(
% 0.15/0.39 ~identity=identity|spl0_26),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f266,f937])).
% 0.15/0.39 fof(f939,plain,(
% 0.15/0.39 $false|spl0_26),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f938])).
% 0.15/0.39 fof(f940,plain,(
% 0.15/0.39 spl0_26),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f939])).
% 0.15/0.39 fof(f945,plain,(
% 0.15/0.39 ~multiply(identity,sk_c10)=sk_c11|spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f245,f902])).
% 0.15/0.39 fof(f946,plain,(
% 0.15/0.39 ~sk_c10=sk_c11|spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f55,f945])).
% 0.15/0.39 fof(f948,plain,(
% 0.15/0.39 ~identity=sk_c11|spl0_20),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f56,f881])).
% 0.15/0.39 fof(f948,plain,(
% 0.15/0.39 ~identity=sk_c11|spl0_20),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f56,f881])).
% 0.15/0.39 fof(f1764,plain,(
% 0.15/0.39 ~identity=sk_c11|~spl0_0|~spl0_2|~spl0_1|spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f865,f946])).
% 0.15/0.39 fof(f1765,plain,(
% 0.15/0.39 ~identity=identity|~spl0_0|~spl0_2|~spl0_1|spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f857,f1764])).
% 0.15/0.39 fof(f1766,plain,(
% 0.15/0.39 $false|~spl0_0|~spl0_2|~spl0_1|spl0_25),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f1765])).
% 0.15/0.39 fof(f1767,plain,(
% 0.15/0.39 ~spl0_0|~spl0_2|~spl0_1|spl0_25),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f1766])).
% 0.15/0.39 fof(f1768,plain,(
% 0.15/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~spl0_15)),
% 0.15/0.39 inference(destructive_equality_resolution,[status(esa)],[f206])).
% 0.15/0.39 fof(f1774,plain,(
% 0.15/0.39 sk_c9=multiply(inverse(sk_c11),sk_c10)|~spl0_11),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f154,f224])).
% 0.15/0.39 fof(f1785,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c11)=sk_c11|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f790,f788])).
% 0.15/0.39 fof(f1790,plain,(
% 0.15/0.39 inverse(sk_c10)=multiply(sk_c11,inverse(sk_c11))|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f1785,f414])).
% 0.15/0.39 fof(f1791,plain,(
% 0.15/0.39 sk_c11=multiply(sk_c11,inverse(sk_c11))|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f731,f1790])).
% 0.15/0.39 fof(f1792,plain,(
% 0.15/0.39 sk_c11=identity|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f236,f1791])).
% 0.15/0.39 fof(f1793,plain,(
% 0.15/0.39 $false|spl0_20|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1792,f948])).
% 0.15/0.39 fof(f1794,plain,(
% 0.15/0.39 spl0_20|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f1793])).
% 0.15/0.39 fof(f1795,plain,(
% 0.15/0.39 identity=sk_c11|~spl0_20),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f56,f880])).
% 0.15/0.39 fof(f1796,plain,(
% 0.15/0.39 multiply(identity,sk_c10)=sk_c11|~spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f245,f901])).
% 0.15/0.39 fof(f1797,plain,(
% 0.15/0.39 sk_c10=sk_c11|~spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f55,f1796])).
% 0.15/0.39 fof(f1804,plain,(
% 0.15/0.39 spl0_31 <=> identity=sk_c9),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f1806,plain,(
% 0.15/0.39 ~identity=sk_c9|spl0_31),
% 0.15/0.39 inference(component_clause,[status(thm)],[f1804])).
% 0.15/0.39 fof(f1807,plain,(
% 0.15/0.39 spl0_32 <=> inverse(inverse(sk_c10))=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f1809,plain,(
% 0.15/0.39 ~inverse(inverse(sk_c10))=sk_c10|spl0_32),
% 0.15/0.39 inference(component_clause,[status(thm)],[f1807])).
% 0.15/0.39 fof(f1810,plain,(
% 0.15/0.39 ~identity=sk_c9|~inverse(inverse(sk_c10))=sk_c10|~spl0_17),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f56,f212])).
% 0.15/0.39 fof(f1811,plain,(
% 0.15/0.39 ~spl0_31|~spl0_32|~spl0_17),
% 0.15/0.39 inference(split_clause,[status(thm)],[f1810,f1804,f1807,f211])).
% 0.15/0.39 fof(f1812,plain,(
% 0.15/0.39 spl0_33 <=> sk_c10=sk_c9),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f1815,plain,(
% 0.15/0.39 spl0_34 <=> inverse(identity)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f1817,plain,(
% 0.15/0.39 ~inverse(identity)=sk_c10|spl0_34),
% 0.15/0.39 inference(component_clause,[status(thm)],[f1815])).
% 0.15/0.39 fof(f1818,plain,(
% 0.15/0.39 ~sk_c10=sk_c9|~inverse(identity)=sk_c10|~spl0_17),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f55,f212])).
% 0.15/0.39 fof(f1819,plain,(
% 0.15/0.39 ~spl0_33|~spl0_34|~spl0_17),
% 0.15/0.39 inference(split_clause,[status(thm)],[f1818,f1812,f1815,f211])).
% 0.15/0.39 fof(f1821,plain,(
% 0.15/0.39 ~identity=sk_c10|spl0_34),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f245,f1817])).
% 0.15/0.39 fof(f1822,plain,(
% 0.15/0.39 ~sk_c10=sk_c10|spl0_32),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f266,f1809])).
% 0.15/0.39 fof(f1823,plain,(
% 0.15/0.39 $false|spl0_32),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f1822])).
% 0.15/0.39 fof(f1824,plain,(
% 0.15/0.39 spl0_32),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f1823])).
% 0.15/0.39 fof(f1825,plain,(
% 0.15/0.39 $false|spl0_19|~spl0_20),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1795,f878])).
% 0.15/0.39 fof(f1826,plain,(
% 0.15/0.39 spl0_19|~spl0_20),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f1825])).
% 0.15/0.39 fof(f1828,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c4|~spl0_25|~spl0_4),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1797,f721])).
% 0.15/0.39 fof(f1838,plain,(
% 0.15/0.39 inverse(sk_c4)=sk_c11|~spl0_25|~spl0_4),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1797,f126])).
% 0.15/0.39 fof(f1894,plain,(
% 0.15/0.39 multiply(sk_c4,sk_c11)=sk_c9|~spl0_25|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1797,f122])).
% 0.15/0.39 fof(f1903,plain,(
% 0.15/0.39 sk_c11=multiply(inverse(sk_c4),sk_c9)|~spl0_25|~spl0_3),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f1894,f224])).
% 0.15/0.39 fof(f1904,plain,(
% 0.15/0.39 sk_c11=multiply(sk_c11,sk_c9)|~spl0_4|~spl0_25|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1838,f1903])).
% 0.15/0.39 fof(f1906,plain,(
% 0.15/0.39 multiply(sk_c3,sk_c11)=sk_c11|~spl0_25|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1797,f114])).
% 0.15/0.39 fof(f1913,plain,(
% 0.15/0.39 inverse(sk_c3)=multiply(sk_c11,inverse(sk_c11))|~spl0_25|~spl0_1),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f1906,f414])).
% 0.15/0.39 fof(f1914,plain,(
% 0.15/0.39 sk_c11=multiply(sk_c11,inverse(sk_c11))|~spl0_2|~spl0_25|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f118,f1913])).
% 0.15/0.39 fof(f1915,plain,(
% 0.15/0.39 sk_c11=identity|~spl0_2|~spl0_25|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f236,f1914])).
% 0.15/0.39 fof(f1916,plain,(
% 0.15/0.39 $false|spl0_19|~spl0_2|~spl0_25|~spl0_1),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1915,f878])).
% 0.15/0.39 fof(f1917,plain,(
% 0.15/0.39 spl0_19|~spl0_2|~spl0_25|~spl0_1),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f1916])).
% 0.15/0.39 fof(f1924,plain,(
% 0.15/0.39 ~identity=sk_c11|~spl0_25|spl0_34),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1797,f1821])).
% 0.15/0.39 fof(f1925,plain,(
% 0.15/0.39 ~spl0_19|~spl0_25|spl0_34),
% 0.15/0.39 inference(split_clause,[status(thm)],[f1924,f876,f900,f1815])).
% 0.15/0.39 fof(f1926,plain,(
% 0.15/0.39 ~spl0_19|spl0_20),
% 0.15/0.39 inference(split_clause,[status(thm)],[f948,f876,f879])).
% 0.15/0.39 fof(f2578,plain,(
% 0.15/0.39 ~sk_c10=identity|~spl0_19|spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f877,f946])).
% 0.15/0.39 fof(f2605,plain,(
% 0.15/0.39 sk_c2=identity|~spl0_19|~spl0_14|~spl0_0|~spl0_13|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f877,f763])).
% 0.15/0.39 fof(f3142,plain,(
% 0.15/0.39 multiply(sk_c5,sk_c8)=identity|~spl0_6|~spl0_9),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f745,f697])).
% 0.15/0.39 fof(f3143,plain,(
% 0.15/0.39 sk_c11=identity|~spl0_5|~spl0_6|~spl0_9),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f130,f3142])).
% 0.15/0.39 fof(f3144,plain,(
% 0.15/0.39 $false|spl0_19|~spl0_5|~spl0_6|~spl0_9),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3143,f878])).
% 0.15/0.39 fof(f3145,plain,(
% 0.15/0.39 spl0_19|~spl0_5|~spl0_6|~spl0_9),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3144])).
% 0.15/0.39 fof(f3148,plain,(
% 0.15/0.39 ![X0]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~spl0_15)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f236,f1768])).
% 0.15/0.39 fof(f3180,plain,(
% 0.15/0.39 multiply(sk_c3,identity)=sk_c10|~spl0_20|~spl0_1),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f1795,f114])).
% 0.15/0.39 fof(f3181,plain,(
% 0.15/0.39 sk_c3=sk_c10|~spl0_20|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f264,f3180])).
% 0.15/0.39 fof(f3186,plain,(
% 0.15/0.39 multiply(identity,sk_c1)=identity|~spl0_19|~spl0_14|~spl0_0|~spl0_12|~spl0_13),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f2605,f694])).
% 0.15/0.39 fof(f3187,plain,(
% 0.15/0.39 sk_c1=identity|~spl0_19|~spl0_14|~spl0_0|~spl0_12|~spl0_13),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f55,f3186])).
% 0.15/0.39 fof(f3235,plain,(
% 0.15/0.39 ![X0]: (~multiply(X0,identity)=sk_c10|~inverse(X0)=sk_c11|~spl0_20|~spl0_16)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f209])).
% 0.15/0.39 fof(f3236,plain,(
% 0.15/0.39 ![X0]: (~X0=sk_c10|~inverse(X0)=sk_c11|~spl0_20|~spl0_16)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f264,f3235])).
% 0.15/0.39 fof(f3237,plain,(
% 0.15/0.39 ![X0]: (~X0=sk_c10|~inverse(X0)=identity|~spl0_20|~spl0_16)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f3236])).
% 0.15/0.39 fof(f3238,plain,(
% 0.15/0.39 ~inverse(sk_c10)=identity|~spl0_20|~spl0_16),
% 0.15/0.39 inference(destructive_equality_resolution,[status(esa)],[f3237])).
% 0.15/0.39 fof(f3239,plain,(
% 0.15/0.39 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c10)=sk_c11|~spl0_20|~spl0_15)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f3148])).
% 0.15/0.39 fof(f3240,plain,(
% 0.15/0.39 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c10)=identity|~spl0_20|~spl0_15)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f3239])).
% 0.15/0.39 fof(f3241,plain,(
% 0.15/0.39 ![X0]: (~multiply(inverse(X0),sk_c10)=identity|~spl0_20|~spl0_15)),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f3240])).
% 0.15/0.39 fof(f3242,plain,(
% 0.15/0.39 $false|~spl0_20|~spl0_15),
% 0.15/0.39 inference(resolution,[status(thm)],[f3241,f56])).
% 0.15/0.39 fof(f3243,plain,(
% 0.15/0.39 ~spl0_20|~spl0_15),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3242])).
% 0.15/0.39 fof(f3245,plain,(
% 0.15/0.39 sk_c10=identity|~spl0_19|~spl0_14|~spl0_0|~spl0_12|~spl0_13),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f790,f3187])).
% 0.15/0.39 fof(f3246,plain,(
% 0.15/0.39 $false|spl0_25|~spl0_19|~spl0_14|~spl0_0|~spl0_12|~spl0_13),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3245,f2578])).
% 0.15/0.39 fof(f3247,plain,(
% 0.15/0.39 spl0_25|~spl0_19|~spl0_14|~spl0_0|~spl0_12|~spl0_13),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3246])).
% 0.15/0.39 fof(f3276,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c11)=identity|~spl0_20|~spl0_1|~spl0_2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3181,f727])).
% 0.15/0.39 fof(f3277,plain,(
% 0.15/0.39 multiply(sk_c10,identity)=identity|~spl0_20|~spl0_1|~spl0_2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f3276])).
% 0.15/0.39 fof(f3278,plain,(
% 0.15/0.39 sk_c10=identity|~spl0_20|~spl0_1|~spl0_2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f264,f3277])).
% 0.15/0.39 fof(f3279,plain,(
% 0.15/0.39 $false|~spl0_19|spl0_25|~spl0_20|~spl0_1|~spl0_2),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3278,f2578])).
% 0.15/0.39 fof(f3280,plain,(
% 0.15/0.39 ~spl0_19|spl0_25|~spl0_20|~spl0_1|~spl0_2),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3279])).
% 0.15/0.39 fof(f3346,plain,(
% 0.15/0.39 sk_c9=multiply(inverse(identity),sk_c10)|~spl0_20|~spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f1774])).
% 0.15/0.39 fof(f3347,plain,(
% 0.15/0.39 sk_c9=multiply(identity,sk_c10)|~spl0_20|~spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f245,f3346])).
% 0.15/0.39 fof(f3348,plain,(
% 0.15/0.39 sk_c9=sk_c10|~spl0_20|~spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f55,f3347])).
% 0.15/0.39 fof(f3379,plain,(
% 0.15/0.39 sk_c10=identity|~spl0_20|~spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f1797])).
% 0.15/0.39 fof(f3380,plain,(
% 0.15/0.39 multiply(sk_c4,identity)=sk_c9|~spl0_20|~spl0_25|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f1894])).
% 0.15/0.39 fof(f3381,plain,(
% 0.15/0.39 sk_c4=sk_c9|~spl0_20|~spl0_25|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f264,f3380])).
% 0.15/0.39 fof(f3433,plain,(
% 0.15/0.39 ~multiply(identity,sk_c9)=sk_c10|~spl0_20|spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f155])).
% 0.15/0.39 fof(f3434,plain,(
% 0.15/0.39 ~sk_c9=sk_c10|~spl0_20|spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f55,f3433])).
% 0.15/0.39 fof(f3435,plain,(
% 0.15/0.39 inverse(identity)=sk_c4|~spl0_20|~spl0_25|~spl0_4),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f1828])).
% 0.15/0.39 fof(f3436,plain,(
% 0.15/0.39 identity=sk_c4|~spl0_20|~spl0_25|~spl0_4),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f245,f3435])).
% 0.15/0.39 fof(f3475,plain,(
% 0.15/0.39 identity=multiply(sk_c11,sk_c9)|~spl0_20|~spl0_4|~spl0_25|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f1904])).
% 0.15/0.39 fof(f3476,plain,(
% 0.15/0.39 identity=multiply(identity,sk_c9)|~spl0_20|~spl0_4|~spl0_25|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1795,f3475])).
% 0.15/0.41 fof(f3477,plain,(
% 0.15/0.41 identity=sk_c9|~spl0_20|~spl0_4|~spl0_25|~spl0_3),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f55,f3476])).
% 0.15/0.41 fof(f3478,plain,(
% 0.15/0.41 $false|spl0_31|~spl0_20|~spl0_4|~spl0_25|~spl0_3),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f3477,f1806])).
% 0.15/0.41 fof(f3479,plain,(
% 0.15/0.41 spl0_31|~spl0_20|~spl0_4|~spl0_25|~spl0_3),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f3478])).
% 0.15/0.41 fof(f3685,plain,(
% 0.15/0.41 ~sk_c4=sk_c10|~spl0_25|~spl0_3|~spl0_20|spl0_11),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f3381,f3434])).
% 0.15/0.41 fof(f3686,plain,(
% 0.15/0.41 ~sk_c4=identity|~spl0_25|~spl0_3|~spl0_20|spl0_11),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f3379,f3685])).
% 0.15/0.41 fof(f4294,plain,(
% 0.15/0.41 $false|~spl0_3|spl0_11|~spl0_20|~spl0_25|~spl0_4),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f3436,f3686])).
% 0.15/0.41 fof(f4295,plain,(
% 0.15/0.41 ~spl0_3|spl0_11|~spl0_20|~spl0_25|~spl0_4),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f4294])).
% 0.15/0.41 fof(f4334,plain,(
% 0.15/0.41 ~inverse(identity)=sk_c10|~spl0_20|spl0_0),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f1795,f112])).
% 0.15/0.41 fof(f4335,plain,(
% 0.15/0.41 ~identity=sk_c10|~spl0_20|spl0_0),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f245,f4334])).
% 0.15/0.41 fof(f4336,plain,(
% 0.15/0.41 ~identity=identity|~spl0_25|~spl0_20|spl0_0),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f3379,f4335])).
% 0.15/0.41 fof(f4337,plain,(
% 0.15/0.41 $false|~spl0_25|~spl0_20|spl0_0),
% 0.15/0.41 inference(trivial_equality_resolution,[status(esa)],[f4336])).
% 0.15/0.41 fof(f4338,plain,(
% 0.15/0.41 ~spl0_25|~spl0_20|spl0_0),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f4337])).
% 0.15/0.41 fof(f4378,plain,(
% 0.15/0.41 ~inverse(identity)=identity|~spl0_25|~spl0_20|~spl0_16),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f3379,f3238])).
% 0.15/0.41 fof(f4379,plain,(
% 0.15/0.41 ~identity=identity|~spl0_25|~spl0_20|~spl0_16),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f245,f4378])).
% 0.15/0.41 fof(f4380,plain,(
% 0.15/0.41 $false|~spl0_25|~spl0_20|~spl0_16),
% 0.15/0.41 inference(trivial_equality_resolution,[status(esa)],[f4379])).
% 0.15/0.41 fof(f4381,plain,(
% 0.15/0.41 ~spl0_25|~spl0_20|~spl0_16),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f4380])).
% 0.15/0.41 fof(f4617,plain,(
% 0.15/0.41 spl0_33|~spl0_20|~spl0_11),
% 0.15/0.41 inference(split_clause,[status(thm)],[f3348,f1812,f879,f153])).
% 0.15/0.41 fof(f4623,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f116,f120,f132,f136,f148,f156,f157,f158,f159,f169,f170,f182,f183,f195,f196,f217,f907,f931,f940,f1767,f1794,f1811,f1819,f1824,f1826,f1917,f1925,f1926,f3145,f3243,f3247,f3280,f3479,f4295,f4338,f4381,f4617])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.088549 seconds
% 0.15/0.41 % CPU time: 0.253501 seconds
% 0.15/0.41 % Memory used: 33.804 MB
%------------------------------------------------------------------------------