TSTP Solution File: GRP306-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP306-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:11:16 EDT 2023
% Result : Unsatisfiable 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP306-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:26:51 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.33 % Drodi V3.5.1
% 0.17/0.45 % Refutation found
% 0.17/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.45 fof(f1,axiom,(
% 0.17/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f2,axiom,(
% 0.17/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f3,axiom,(
% 0.17/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f4,negated_conjecture,(
% 0.17/0.45 multiply(sk_c8,sk_c7) = sk_c6 ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f5,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f6,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f7,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f8,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f9,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f10,negated_conjecture,(
% 0.17/0.45 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f11,negated_conjecture,(
% 0.17/0.45 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f12,negated_conjecture,(
% 0.17/0.45 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f13,negated_conjecture,(
% 0.17/0.45 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f14,negated_conjecture,(
% 0.17/0.45 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f15,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f16,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f17,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f18,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f19,negated_conjecture,(
% 0.17/0.45 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f25,negated_conjecture,(
% 0.17/0.45 (![X3,X4,X1,X2,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| inverse(sk_c8) != sk_c6| multiply(X3,X4) != sk_c8| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c8| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f26,plain,(
% 0.17/0.45 ![X0]: (multiply(identity,X0)=X0)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f1])).
% 0.17/0.45 fof(f27,plain,(
% 0.17/0.45 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f2])).
% 0.17/0.45 fof(f28,plain,(
% 0.17/0.45 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f3])).
% 0.17/0.45 fof(f29,plain,(
% 0.17/0.45 multiply(sk_c8,sk_c7)=sk_c6),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.45 fof(f30,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f5])).
% 0.17/0.45 fof(f31,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f6])).
% 0.17/0.45 fof(f32,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f7])).
% 0.17/0.45 fof(f33,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f8])).
% 0.17/0.45 fof(f34,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f9])).
% 0.17/0.45 fof(f35,plain,(
% 0.17/0.45 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f10])).
% 0.17/0.45 fof(f36,plain,(
% 0.17/0.45 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f11])).
% 0.17/0.45 fof(f37,plain,(
% 0.17/0.45 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f12])).
% 0.17/0.45 fof(f38,plain,(
% 0.17/0.45 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f13])).
% 0.17/0.45 fof(f39,plain,(
% 0.17/0.45 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f14])).
% 0.17/0.45 fof(f40,plain,(
% 0.17/0.45 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f15])).
% 0.17/0.45 fof(f41,plain,(
% 0.17/0.45 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f16])).
% 0.17/0.45 fof(f42,plain,(
% 0.17/0.45 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f17])).
% 0.17/0.45 fof(f43,plain,(
% 0.17/0.45 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f18])).
% 0.17/0.45 fof(f44,plain,(
% 0.17/0.45 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f19])).
% 0.17/0.45 fof(f50,plain,(
% 0.17/0.45 ![X5]: ((![X2]: (((![X1]: (((![X4]: ((![X3]: (((~multiply(sk_c8,sk_c7)=sk_c6|~inverse(sk_c8)=sk_c6)|~multiply(X3,X4)=sk_c8)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c8))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f25])).
% 0.17/0.45 fof(f51,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~inverse(sk_c8)=sk_c6|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f50])).
% 0.17/0.45 fof(f52,plain,(
% 0.17/0.45 spl0_0 <=> inverse(sk_c8)=sk_c6),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f53,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c6|~spl0_0),
% 0.17/0.45 inference(component_clause,[status(thm)],[f52])).
% 0.17/0.45 fof(f54,plain,(
% 0.17/0.45 ~inverse(sk_c8)=sk_c6|spl0_0),
% 0.17/0.45 inference(component_clause,[status(thm)],[f52])).
% 0.17/0.45 fof(f55,plain,(
% 0.17/0.45 spl0_1 <=> multiply(sk_c3,sk_c8)=sk_c7),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f56,plain,(
% 0.17/0.45 multiply(sk_c3,sk_c8)=sk_c7|~spl0_1),
% 0.17/0.45 inference(component_clause,[status(thm)],[f55])).
% 0.17/0.45 fof(f58,plain,(
% 0.17/0.45 spl0_0|spl0_1),
% 0.17/0.45 inference(split_clause,[status(thm)],[f30,f52,f55])).
% 0.17/0.45 fof(f59,plain,(
% 0.17/0.45 spl0_2 <=> inverse(sk_c3)=sk_c8),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f60,plain,(
% 0.17/0.45 inverse(sk_c3)=sk_c8|~spl0_2),
% 0.17/0.45 inference(component_clause,[status(thm)],[f59])).
% 0.17/0.45 fof(f62,plain,(
% 0.17/0.45 spl0_0|spl0_2),
% 0.17/0.45 inference(split_clause,[status(thm)],[f31,f52,f59])).
% 0.17/0.45 fof(f63,plain,(
% 0.17/0.45 spl0_3 <=> multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f64,plain,(
% 0.17/0.45 multiply(sk_c8,sk_c5)=sk_c7|~spl0_3),
% 0.17/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.17/0.45 fof(f66,plain,(
% 0.17/0.45 spl0_0|spl0_3),
% 0.17/0.45 inference(split_clause,[status(thm)],[f32,f52,f63])).
% 0.17/0.45 fof(f67,plain,(
% 0.17/0.45 spl0_4 <=> multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f68,plain,(
% 0.17/0.45 multiply(sk_c4,sk_c8)=sk_c5|~spl0_4),
% 0.17/0.45 inference(component_clause,[status(thm)],[f67])).
% 0.17/0.45 fof(f70,plain,(
% 0.17/0.45 spl0_0|spl0_4),
% 0.17/0.45 inference(split_clause,[status(thm)],[f33,f52,f67])).
% 0.17/0.45 fof(f71,plain,(
% 0.17/0.45 spl0_5 <=> inverse(sk_c4)=sk_c8),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f72,plain,(
% 0.17/0.45 inverse(sk_c4)=sk_c8|~spl0_5),
% 0.17/0.45 inference(component_clause,[status(thm)],[f71])).
% 0.17/0.45 fof(f74,plain,(
% 0.17/0.45 spl0_0|spl0_5),
% 0.17/0.45 inference(split_clause,[status(thm)],[f34,f52,f71])).
% 0.17/0.45 fof(f75,plain,(
% 0.17/0.45 spl0_6 <=> multiply(sk_c1,sk_c2)=sk_c8),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f76,plain,(
% 0.17/0.45 multiply(sk_c1,sk_c2)=sk_c8|~spl0_6),
% 0.17/0.45 inference(component_clause,[status(thm)],[f75])).
% 0.17/0.45 fof(f78,plain,(
% 0.17/0.45 spl0_6|spl0_1),
% 0.17/0.45 inference(split_clause,[status(thm)],[f35,f75,f55])).
% 0.17/0.45 fof(f79,plain,(
% 0.17/0.45 spl0_6|spl0_2),
% 0.17/0.45 inference(split_clause,[status(thm)],[f36,f75,f59])).
% 0.17/0.45 fof(f80,plain,(
% 0.17/0.45 spl0_6|spl0_3),
% 0.17/0.45 inference(split_clause,[status(thm)],[f37,f75,f63])).
% 0.17/0.45 fof(f81,plain,(
% 0.17/0.45 spl0_6|spl0_4),
% 0.17/0.45 inference(split_clause,[status(thm)],[f38,f75,f67])).
% 0.17/0.45 fof(f82,plain,(
% 0.17/0.45 spl0_6|spl0_5),
% 0.17/0.45 inference(split_clause,[status(thm)],[f39,f75,f71])).
% 0.17/0.45 fof(f83,plain,(
% 0.17/0.45 spl0_7 <=> inverse(sk_c1)=sk_c2),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f84,plain,(
% 0.17/0.45 inverse(sk_c1)=sk_c2|~spl0_7),
% 0.17/0.45 inference(component_clause,[status(thm)],[f83])).
% 0.17/0.45 fof(f86,plain,(
% 0.17/0.45 spl0_7|spl0_1),
% 0.17/0.45 inference(split_clause,[status(thm)],[f40,f83,f55])).
% 0.17/0.45 fof(f87,plain,(
% 0.17/0.45 spl0_7|spl0_2),
% 0.17/0.45 inference(split_clause,[status(thm)],[f41,f83,f59])).
% 0.17/0.45 fof(f88,plain,(
% 0.17/0.45 spl0_7|spl0_3),
% 0.17/0.45 inference(split_clause,[status(thm)],[f42,f83,f63])).
% 0.17/0.45 fof(f89,plain,(
% 0.17/0.45 spl0_7|spl0_4),
% 0.17/0.45 inference(split_clause,[status(thm)],[f43,f83,f67])).
% 0.17/0.45 fof(f90,plain,(
% 0.17/0.45 spl0_7|spl0_5),
% 0.17/0.45 inference(split_clause,[status(thm)],[f44,f83,f71])).
% 0.17/0.45 fof(f99,plain,(
% 0.17/0.45 spl0_9 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f101,plain,(
% 0.17/0.45 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_9),
% 0.17/0.45 inference(component_clause,[status(thm)],[f99])).
% 0.17/0.45 fof(f102,plain,(
% 0.17/0.45 spl0_10 <=> ~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f103,plain,(
% 0.17/0.45 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_10)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f102])).
% 0.17/0.45 fof(f105,plain,(
% 0.17/0.45 spl0_11 <=> ~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f106,plain,(
% 0.17/0.45 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_11)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f105])).
% 0.17/0.45 fof(f108,plain,(
% 0.17/0.45 spl0_12 <=> ~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f109,plain,(
% 0.17/0.45 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_12)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f108])).
% 0.17/0.45 fof(f111,plain,(
% 0.17/0.45 ~spl0_9|~spl0_0|spl0_10|spl0_11|spl0_12),
% 0.17/0.45 inference(split_clause,[status(thm)],[f51,f99,f52,f102,f105,f108])).
% 0.17/0.45 fof(f115,plain,(
% 0.17/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c8,multiply(sk_c7,X0)))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f29,f28])).
% 0.17/0.45 fof(f120,plain,(
% 0.17/0.45 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.17/0.45 fof(f121,plain,(
% 0.17/0.45 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f26,f120])).
% 0.17/0.45 fof(f122,plain,(
% 0.17/0.45 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f121,f121])).
% 0.17/0.45 fof(f123,plain,(
% 0.17/0.45 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f27,f121])).
% 0.17/0.45 fof(f124,plain,(
% 0.17/0.45 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f26,f121])).
% 0.17/0.45 fof(f125,plain,(
% 0.17/0.45 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f28,f121])).
% 0.17/0.45 fof(f126,plain,(
% 0.17/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c8),multiply(sk_c6,X0)))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f115,f121])).
% 0.17/0.45 fof(f127,plain,(
% 0.17/0.45 sk_c7=multiply(inverse(sk_c8),sk_c6)),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f29,f121])).
% 0.17/0.45 fof(f132,plain,(
% 0.17/0.45 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f124,f121])).
% 0.17/0.45 fof(f140,plain,(
% 0.17/0.45 inverse(identity)=identity),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f27,f132])).
% 0.17/0.45 fof(f152,plain,(
% 0.17/0.45 ![X0]: (X0=multiply(X0,identity))),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f122,f123])).
% 0.17/0.45 fof(f153,plain,(
% 0.17/0.45 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f121,f122])).
% 0.17/0.45 fof(f154,plain,(
% 0.17/0.45 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f27,f122])).
% 0.17/0.45 fof(f164,plain,(
% 0.17/0.45 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f122,f152])).
% 0.17/0.45 fof(f165,plain,(
% 0.17/0.45 ![X0]: (inverse(inverse(X0))=X0)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f164])).
% 0.17/0.45 fof(f214,plain,(
% 0.17/0.45 ![X0]: (sk_c6=multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,sk_c7)))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f127,f125])).
% 0.17/0.45 fof(f216,plain,(
% 0.17/0.45 ![X0,X1]: (X0=multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,identity)))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f27,f125])).
% 0.17/0.45 fof(f217,plain,(
% 0.17/0.45 ![X0,X1]: (X0=multiply(inverse(multiply(X1,inverse(X0))),X1))),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f216])).
% 0.17/0.45 fof(f246,plain,(
% 0.17/0.45 multiply(sk_c7,inverse(sk_c6))=multiply(inverse(sk_c8),identity)),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f154,f126])).
% 0.17/0.45 fof(f247,plain,(
% 0.17/0.45 multiply(sk_c7,inverse(sk_c6))=inverse(sk_c8)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f246])).
% 0.17/0.45 fof(f249,plain,(
% 0.17/0.45 multiply(sk_c6,inverse(sk_c7))=multiply(sk_c8,identity)),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f154,f115])).
% 0.17/0.45 fof(f250,plain,(
% 0.17/0.45 multiply(sk_c6,inverse(sk_c7))=sk_c8),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f249])).
% 0.17/0.45 fof(f252,plain,(
% 0.17/0.45 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f154,f125])).
% 0.17/0.45 fof(f253,plain,(
% 0.17/0.45 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f252])).
% 0.17/0.45 fof(f509,plain,(
% 0.17/0.45 multiply(sk_c1,sk_c2)=identity|~spl0_7),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f84,f154])).
% 0.17/0.45 fof(f515,plain,(
% 0.17/0.45 ![X0]: (sk_c8=multiply(inverse(multiply(X0,sk_c6)),X0)|~spl0_0)),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f53,f217])).
% 0.17/0.45 fof(f518,plain,(
% 0.17/0.45 inverse(sk_c6)=sk_c8|~spl0_0),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f53,f165])).
% 0.17/0.45 fof(f527,plain,(
% 0.17/0.45 ![X0]: (sk_c6=multiply(inverse(multiply(X0,sk_c8)),X0)|~spl0_0)),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f518,f217])).
% 0.17/0.45 fof(f533,plain,(
% 0.17/0.45 ~sk_c6=sk_c6|spl0_9),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f29,f101])).
% 0.17/0.45 fof(f534,plain,(
% 0.17/0.45 $false|spl0_9),
% 0.17/0.45 inference(trivial_equality_resolution,[status(esa)],[f533])).
% 0.17/0.45 fof(f535,plain,(
% 0.17/0.45 spl0_9),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f534])).
% 0.17/0.45 fof(f536,plain,(
% 0.17/0.45 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.17/0.45 inference(destructive_equality_resolution,[status(esa)],[f109])).
% 0.17/0.45 fof(f547,plain,(
% 0.17/0.45 ![X0]: (sk_c4=multiply(inverse(multiply(X0,sk_c8)),X0)|~spl0_5)),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f72,f217])).
% 0.17/0.45 fof(f550,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c4|~spl0_5),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f72,f165])).
% 0.17/0.45 fof(f551,plain,(
% 0.17/0.45 sk_c6=sk_c4|~spl0_0|~spl0_5),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f53,f550])).
% 0.17/0.45 fof(f557,plain,(
% 0.17/0.45 multiply(sk_c3,sk_c8)=identity|~spl0_2),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f60,f154])).
% 0.17/0.45 fof(f558,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c3|~spl0_2),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f60,f165])).
% 0.17/0.45 fof(f559,plain,(
% 0.17/0.45 sk_c6=sk_c3|~spl0_0|~spl0_2),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f53,f558])).
% 0.17/0.45 fof(f573,plain,(
% 0.17/0.45 sk_c8=identity|~spl0_6|~spl0_7),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f76,f509])).
% 0.17/0.45 fof(f577,plain,(
% 0.17/0.45 inverse(identity)=sk_c6|~spl0_6|~spl0_7|~spl0_0),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f573,f53])).
% 0.17/0.45 fof(f578,plain,(
% 0.17/0.45 identity=sk_c6|~spl0_6|~spl0_7|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f140,f577])).
% 0.17/0.45 fof(f582,plain,(
% 0.17/0.45 multiply(identity,sk_c7)=sk_c6|~spl0_6|~spl0_7),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f573,f29])).
% 0.17/0.45 fof(f583,plain,(
% 0.17/0.45 sk_c7=sk_c6|~spl0_6|~spl0_7),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f26,f582])).
% 0.17/0.45 fof(f586,plain,(
% 0.17/0.45 sk_c7=identity|~spl0_0|~spl0_6|~spl0_7),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f578,f583])).
% 0.17/0.45 fof(f653,plain,(
% 0.17/0.45 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_6|~spl0_7|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f573,f536])).
% 0.17/0.45 fof(f654,plain,(
% 0.17/0.45 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_6|~spl0_7|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f26,f653])).
% 0.17/0.45 fof(f655,plain,(
% 0.17/0.45 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_6|~spl0_7|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f573,f654])).
% 0.17/0.45 fof(f656,plain,(
% 0.17/0.45 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_6|~spl0_7|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f655])).
% 0.17/0.45 fof(f657,plain,(
% 0.17/0.45 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_0|~spl0_6|~spl0_7|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f586,f656])).
% 0.17/0.45 fof(f658,plain,(
% 0.17/0.45 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_6|~spl0_7|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f573,f657])).
% 0.17/0.45 fof(f659,plain,(
% 0.17/0.45 ~inverse(identity)=identity|~spl0_0|~spl0_6|~spl0_7|~spl0_12),
% 0.17/0.45 inference(destructive_equality_resolution,[status(esa)],[f658])).
% 0.17/0.45 fof(f660,plain,(
% 0.17/0.45 $false|~spl0_0|~spl0_6|~spl0_7|~spl0_12),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f659,f140])).
% 0.17/0.45 fof(f661,plain,(
% 0.17/0.45 ~spl0_0|~spl0_6|~spl0_7|~spl0_12),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f660])).
% 0.17/0.45 fof(f728,plain,(
% 0.17/0.45 multiply(sk_c7,inverse(sk_c6))=inverse(identity)|~spl0_6|~spl0_7),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f573,f247])).
% 0.17/0.45 fof(f729,plain,(
% 0.17/0.45 multiply(sk_c7,inverse(sk_c6))=identity|~spl0_6|~spl0_7),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f140,f728])).
% 0.17/0.45 fof(f730,plain,(
% 0.17/0.45 sk_c6=multiply(inverse(identity),sk_c7)|~spl0_6|~spl0_7),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f729,f217])).
% 0.17/0.45 fof(f731,plain,(
% 0.17/0.45 sk_c6=multiply(identity,sk_c7)|~spl0_6|~spl0_7),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f140,f730])).
% 0.17/0.45 fof(f732,plain,(
% 0.17/0.45 sk_c6=sk_c7|~spl0_6|~spl0_7),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f26,f731])).
% 0.17/0.45 fof(f786,plain,(
% 0.17/0.45 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f253,f253])).
% 0.17/0.45 fof(f787,plain,(
% 0.17/0.45 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f165,f786])).
% 0.17/0.45 fof(f966,plain,(
% 0.17/0.45 ![X0,X1]: (multiply(X0,inverse(X1))=inverse(multiply(X1,inverse(X0))))),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f787,f153])).
% 0.17/0.45 fof(f1226,plain,(
% 0.17/0.45 ![X0,X1]: (~multiply(X0,X1)=identity|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_6|~spl0_7|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f573,f103])).
% 0.17/0.45 fof(f1227,plain,(
% 0.17/0.45 ![X0,X1]: (~multiply(X0,X1)=identity|~inverse(X0)=X1|~multiply(X1,sk_c7)=identity|~spl0_6|~spl0_7|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f573,f1226])).
% 0.17/0.45 fof(f1228,plain,(
% 0.17/0.45 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c7)=identity|~spl0_6|~spl0_7|~spl0_10)),
% 0.17/0.45 inference(destructive_equality_resolution,[status(esa)],[f1227])).
% 0.17/0.45 fof(f1229,plain,(
% 0.17/0.45 ![X0]: (~multiply(inverse(X0),sk_c7)=identity|~spl0_6|~spl0_7|~spl0_10)),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1228,f154])).
% 0.17/0.45 fof(f1236,plain,(
% 0.17/0.45 sk_c6=inverse(sk_c8)|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f253,f527])).
% 0.17/0.45 fof(f1237,plain,(
% 0.17/0.45 sk_c6=inverse(identity)|~spl0_6|~spl0_7|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f573,f1236])).
% 0.17/0.45 fof(f1238,plain,(
% 0.17/0.45 sk_c6=identity|~spl0_6|~spl0_7|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f140,f1237])).
% 0.17/0.45 fof(f1243,plain,(
% 0.17/0.45 sk_c7=identity|~spl0_6|~spl0_7|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f732,f1238])).
% 0.17/0.45 fof(f1243,plain,(
% 0.17/0.45 sk_c7=identity|~spl0_6|~spl0_7|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f732,f1238])).
% 0.17/0.45 fof(f1247,plain,(
% 0.17/0.45 ![X0]: (~multiply(inverse(X0),identity)=identity|~spl0_0|~spl0_6|~spl0_7|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f1243,f1229])).
% 0.17/0.45 fof(f1248,plain,(
% 0.17/0.45 ![X0]: (~inverse(X0)=identity|~spl0_0|~spl0_6|~spl0_7|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f1247])).
% 0.17/0.45 fof(f1249,plain,(
% 0.17/0.45 $false|~spl0_0|~spl0_6|~spl0_7|~spl0_10),
% 0.17/0.45 inference(backward_subsumption_resolution,[status(thm)],[f140,f1248])).
% 0.17/0.45 fof(f1250,plain,(
% 0.17/0.45 ~spl0_0|~spl0_6|~spl0_7|~spl0_10),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f1249])).
% 0.17/0.45 fof(f1251,plain,(
% 0.17/0.45 sk_c4=inverse(sk_c8)|~spl0_5),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f253,f547])).
% 0.17/0.45 fof(f1253,plain,(
% 0.17/0.45 sk_c8=inverse(sk_c6)|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f253,f515])).
% 0.17/0.45 fof(f1254,plain,(
% 0.17/0.45 ![X0]: (sk_c6=multiply(multiply(sk_c8,inverse(X0)),multiply(X0,sk_c7)))),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f966,f214])).
% 0.17/0.45 fof(f1255,plain,(
% 0.17/0.45 ![X0]: (sk_c6=multiply(sk_c8,multiply(inverse(X0),multiply(X0,sk_c7))))),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f28,f1254])).
% 0.17/0.45 fof(f1256,plain,(
% 0.17/0.45 sk_c6=multiply(sk_c8,sk_c7)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f121,f1255])).
% 0.17/0.45 fof(f1270,plain,(
% 0.17/0.45 sk_c6=inverse(sk_c8)|~spl0_0|~spl0_5),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f551,f1251])).
% 0.17/0.45 fof(f1305,plain,(
% 0.17/0.45 spl0_13 <=> identity=sk_c7),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f1307,plain,(
% 0.17/0.45 ~identity=sk_c7|spl0_13),
% 0.17/0.45 inference(component_clause,[status(thm)],[f1305])).
% 0.17/0.45 fof(f1308,plain,(
% 0.17/0.45 spl0_14 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f1310,plain,(
% 0.17/0.45 ~inverse(inverse(sk_c8))=sk_c8|spl0_14),
% 0.17/0.45 inference(component_clause,[status(thm)],[f1308])).
% 0.17/0.45 fof(f1311,plain,(
% 0.17/0.45 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_11),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f27,f106])).
% 0.17/0.45 fof(f1312,plain,(
% 0.17/0.45 ~spl0_13|~spl0_14|~spl0_11),
% 0.17/0.45 inference(split_clause,[status(thm)],[f1311,f1305,f1308,f105])).
% 0.17/0.45 fof(f1322,plain,(
% 0.17/0.45 ~sk_c8=sk_c8|spl0_14),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f165,f1310])).
% 0.17/0.45 fof(f1323,plain,(
% 0.17/0.45 $false|spl0_14),
% 0.17/0.45 inference(trivial_equality_resolution,[status(esa)],[f1322])).
% 0.17/0.45 fof(f1324,plain,(
% 0.17/0.45 spl0_14),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f1323])).
% 0.17/0.45 fof(f1325,plain,(
% 0.17/0.45 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_10)),
% 0.17/0.45 inference(destructive_equality_resolution,[status(esa)],[f103])).
% 0.17/0.45 fof(f1326,plain,(
% 0.17/0.45 multiply(sk_c6,sk_c8)=sk_c5|~spl0_0|~spl0_5|~spl0_4),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f551,f68])).
% 0.17/0.45 fof(f1338,plain,(
% 0.17/0.45 multiply(sk_c6,sk_c8)=sk_c7|~spl0_0|~spl0_2|~spl0_1),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f559,f56])).
% 0.17/0.45 fof(f1339,plain,(
% 0.17/0.45 sk_c5=sk_c7|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f1326,f1338])).
% 0.17/0.45 fof(f2234,plain,(
% 0.17/0.45 multiply(sk_c8,sk_c7)=sk_c7|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f1339,f64])).
% 0.17/0.45 fof(f2235,plain,(
% 0.17/0.45 sk_c6=sk_c7|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f1256,f2234])).
% 0.17/0.45 fof(f2245,plain,(
% 0.17/0.45 multiply(sk_c7,inverse(sk_c7))=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f2235,f250])).
% 0.17/0.45 fof(f2246,plain,(
% 0.17/0.45 identity=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f154,f2245])).
% 0.17/0.45 fof(f2253,plain,(
% 0.17/0.45 sk_c8=inverse(sk_c7)|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f2235,f1253])).
% 0.17/0.45 fof(f2254,plain,(
% 0.17/0.45 sk_c7=inverse(sk_c8)|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|~spl0_5),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f2235,f1270])).
% 0.17/0.45 fof(f2265,plain,(
% 0.17/0.45 identity=inverse(sk_c7)|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2246,f2253])).
% 0.17/0.45 fof(f2280,plain,(
% 0.17/0.45 inverse(identity)=sk_c7|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f2265,f165])).
% 0.17/0.45 fof(f2281,plain,(
% 0.17/0.45 identity=sk_c7|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f140,f2280])).
% 0.17/0.45 fof(f2295,plain,(
% 0.17/0.45 ![X0]: (~identity=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f154,f1325])).
% 0.17/0.45 fof(f2296,plain,(
% 0.17/0.45 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2246,f2295])).
% 0.17/0.45 fof(f2297,plain,(
% 0.17/0.45 ![X0]: (~identity=identity|~multiply(inverse(X0),identity)=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2281,f2296])).
% 0.17/0.45 fof(f2298,plain,(
% 0.17/0.45 ![X0]: (~identity=identity|~inverse(X0)=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f2297])).
% 0.17/0.45 fof(f2299,plain,(
% 0.17/0.45 ![X0]: (~identity=identity|~inverse(X0)=identity|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_10)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2246,f2298])).
% 0.17/0.45 fof(f2300,plain,(
% 0.17/0.45 ![X0]: (~inverse(X0)=identity|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_10)),
% 0.17/0.45 inference(trivial_equality_resolution,[status(esa)],[f2299])).
% 0.17/0.45 fof(f2301,plain,(
% 0.17/0.45 $false|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_10),
% 0.17/0.45 inference(backward_subsumption_resolution,[status(thm)],[f140,f2300])).
% 0.17/0.45 fof(f2302,plain,(
% 0.17/0.45 ~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_10),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f2301])).
% 0.17/0.45 fof(f2303,plain,(
% 0.17/0.45 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2246,f536])).
% 0.17/0.45 fof(f2304,plain,(
% 0.17/0.45 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f26,f2303])).
% 0.17/0.45 fof(f2305,plain,(
% 0.17/0.45 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2246,f2304])).
% 0.17/0.45 fof(f2306,plain,(
% 0.17/0.45 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f152,f2305])).
% 0.17/0.45 fof(f2307,plain,(
% 0.17/0.45 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2281,f2306])).
% 0.17/0.45 fof(f2308,plain,(
% 0.17/0.45 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12)),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2246,f2307])).
% 0.17/0.45 fof(f2309,plain,(
% 0.17/0.45 ~inverse(identity)=identity|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12),
% 0.17/0.45 inference(destructive_equality_resolution,[status(esa)],[f2308])).
% 0.17/0.45 fof(f2310,plain,(
% 0.17/0.45 identity=inverse(sk_c8)|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|~spl0_5),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2281,f2254])).
% 0.17/0.45 fof(f2311,plain,(
% 0.17/0.45 identity=inverse(identity)|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|~spl0_5),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2246,f2310])).
% 0.17/0.45 fof(f2330,plain,(
% 0.17/0.45 ~identity=identity|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f2311,f2309])).
% 0.17/0.45 fof(f2331,plain,(
% 0.17/0.45 $false|~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12),
% 0.17/0.45 inference(trivial_equality_resolution,[status(esa)],[f2330])).
% 0.17/0.45 fof(f2332,plain,(
% 0.17/0.45 ~spl0_5|~spl0_4|~spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_12),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f2331])).
% 0.17/0.45 fof(f2374,plain,(
% 0.17/0.45 inverse(sk_c8)=sk_c4|~spl0_5),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f72,f165])).
% 0.17/0.45 fof(f2375,plain,(
% 0.17/0.45 sk_c3=sk_c4|~spl0_2|~spl0_5),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f558,f2374])).
% 0.17/0.45 fof(f3213,plain,(
% 0.17/0.45 ~sk_c3=sk_c6|~spl0_2|spl0_0),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f558,f54])).
% 0.17/0.45 fof(f3256,plain,(
% 0.17/0.45 identity=sk_c7|~spl0_2|~spl0_1),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f557,f56])).
% 0.17/0.45 fof(f3272,plain,(
% 0.17/0.45 multiply(sk_c6,inverse(identity))=sk_c8|~spl0_2|~spl0_1),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f3256,f250])).
% 0.17/0.45 fof(f3273,plain,(
% 0.17/0.45 multiply(sk_c6,identity)=sk_c8|~spl0_2|~spl0_1),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f140,f3272])).
% 0.17/0.45 fof(f3274,plain,(
% 0.17/0.45 sk_c6=sk_c8|~spl0_2|~spl0_1),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f152,f3273])).
% 0.17/0.47 fof(f3277,plain,(
% 0.17/0.47 multiply(sk_c8,sk_c5)=identity|~spl0_2|~spl0_1|~spl0_3),
% 0.17/0.47 inference(backward_demodulation,[status(thm)],[f3256,f64])).
% 0.17/0.47 fof(f3280,plain,(
% 0.17/0.47 ~sk_c3=sk_c8|~spl0_1|~spl0_2|spl0_0),
% 0.17/0.47 inference(backward_demodulation,[status(thm)],[f3274,f3213])).
% 0.17/0.47 fof(f3284,plain,(
% 0.17/0.47 multiply(sk_c3,sk_c8)=sk_c5|~spl0_2|~spl0_5|~spl0_4),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f2375,f68])).
% 0.17/0.47 fof(f3285,plain,(
% 0.17/0.47 identity=sk_c5|~spl0_2|~spl0_5|~spl0_4),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f557,f3284])).
% 0.17/0.47 fof(f3286,plain,(
% 0.17/0.47 multiply(sk_c8,identity)=identity|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f3285,f3277])).
% 0.17/0.47 fof(f3287,plain,(
% 0.17/0.47 sk_c8=identity|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f152,f3286])).
% 0.17/0.47 fof(f3288,plain,(
% 0.17/0.47 ~sk_c3=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_0),
% 0.17/0.47 inference(backward_demodulation,[status(thm)],[f3287,f3280])).
% 0.17/0.47 fof(f3291,plain,(
% 0.17/0.47 multiply(sk_c3,identity)=identity|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_2),
% 0.17/0.47 inference(backward_demodulation,[status(thm)],[f3287,f557])).
% 0.17/0.47 fof(f3292,plain,(
% 0.17/0.47 sk_c3=identity|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_2),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f152,f3291])).
% 0.17/0.47 fof(f3301,plain,(
% 0.17/0.47 $false|spl0_0|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_2),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f3292,f3288])).
% 0.17/0.47 fof(f3302,plain,(
% 0.17/0.47 spl0_0|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_2),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f3301])).
% 0.17/0.47 fof(f3412,plain,(
% 0.17/0.47 spl0_13|~spl0_6|~spl0_7|~spl0_0),
% 0.17/0.47 inference(split_clause,[status(thm)],[f1243,f1305,f75,f83,f52])).
% 0.17/0.47 fof(f3429,plain,(
% 0.17/0.47 ~identity=identity|~spl0_2|~spl0_1|spl0_13),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f3256,f1307])).
% 0.17/0.47 fof(f3430,plain,(
% 0.17/0.47 $false|~spl0_2|~spl0_1|spl0_13),
% 0.17/0.47 inference(trivial_equality_resolution,[status(esa)],[f3429])).
% 0.17/0.47 fof(f3431,plain,(
% 0.17/0.47 ~spl0_2|~spl0_1|spl0_13),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f3430])).
% 0.17/0.47 fof(f3432,plain,(
% 0.17/0.47 $false),
% 0.17/0.47 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f78,f79,f80,f81,f82,f86,f87,f88,f89,f90,f111,f535,f661,f1250,f1312,f1324,f2302,f2332,f3302,f3412,f3431])).
% 0.17/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.47 % Elapsed time: 0.142629 seconds
% 0.17/0.47 % CPU time: 0.630859 seconds
% 0.17/0.47 % Memory used: 65.654 MB
%------------------------------------------------------------------------------