TSTP Solution File: GRP231-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:11:03 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:54:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,negated_conjecture,(
% 0.13/0.39 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| multiply(X4,X5) != sk_c8| inverse(X4) != X5| multiply(X5,sk_c7) != sk_c8| inverse(X6) != sk_c8| multiply(X6,sk_c7) != sk_c8| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![X3]: ((![X2]: (((![X1]: (((![X6]: (((![X5]: ((![X4]: ((~inverse(sk_c8)=sk_c7|~multiply(X4,X5)=sk_c8)|~inverse(X4)=X5))|~multiply(X5,sk_c7)=sk_c8))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c7)=sk_c8))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f34])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f68])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 spl0_0 <=> inverse(sk_c8)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|~spl0_0),
% 0.13/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c7|spl0_0),
% 0.13/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 spl0_1 <=> inverse(sk_c4)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c8|~spl0_1),
% 0.13/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 spl0_0|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 spl0_2 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c7)=sk_c8|~spl0_2),
% 0.13/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 spl0_0|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 spl0_3 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c6)=sk_c7|~spl0_3),
% 0.13/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 spl0_0|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.39 fof(f85,plain,(
% 0.13/0.39 spl0_4 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c8)=sk_c6|~spl0_4),
% 0.13/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 spl0_0|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.13/0.39 fof(f89,plain,(
% 0.13/0.39 spl0_5 <=> inverse(sk_c5)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c8|~spl0_5),
% 0.13/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 spl0_0|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.13/0.39 fof(f93,plain,(
% 0.13/0.39 spl0_6 <=> multiply(sk_c1,sk_c2)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|~spl0_6),
% 0.13/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 spl0_6|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 spl0_6|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 spl0_6|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.13/0.39 fof(f99,plain,(
% 0.13/0.39 spl0_6|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 spl0_6|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.13/0.39 fof(f101,plain,(
% 0.13/0.39 spl0_7 <=> inverse(sk_c1)=sk_c2),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f102,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|~spl0_7),
% 0.13/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 spl0_7|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.13/0.39 fof(f105,plain,(
% 0.13/0.39 spl0_7|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 spl0_7|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 spl0_7|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.13/0.39 fof(f108,plain,(
% 0.13/0.39 spl0_7|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 spl0_11 <=> ~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_11)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.39 fof(f136,plain,(
% 0.13/0.39 spl0_12 <=> ~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_12)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 spl0_13 <=> ~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.39 fof(f142,plain,(
% 0.13/0.39 ~spl0_0|spl0_11|spl0_12|spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f139])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f35,f148])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f149,f149])).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f149])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f37,f149])).
% 0.13/0.39 fof(f160,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f149,f150])).
% 0.13/0.39 fof(f161,plain,(
% 0.13/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f150])).
% 0.13/0.39 fof(f170,plain,(
% 0.13/0.39 inverse(identity)=identity),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f161])).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f150,f151])).
% 0.13/0.39 fof(f190,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f150,f189])).
% 0.13/0.39 fof(f191,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f189,f190])).
% 0.13/0.39 fof(f242,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f161,f153])).
% 0.13/0.39 fof(f243,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f189,f242])).
% 0.13/0.39 fof(f338,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f243,f243])).
% 0.13/0.39 fof(f339,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f191,f338])).
% 0.13/0.39 fof(f616,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c5|~spl0_5),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f90,f191])).
% 0.13/0.39 fof(f621,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c4|~spl0_1),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f74,f191])).
% 0.13/0.39 fof(f632,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=identity|~spl0_7),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f102,f161])).
% 0.13/0.39 fof(f651,plain,(
% 0.13/0.39 sk_c5=sk_c4|~spl0_5|~spl0_1),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f616,f621])).
% 0.13/0.39 fof(f652,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c8)=sk_c6|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f651,f86])).
% 0.13/0.39 fof(f693,plain,(
% 0.13/0.39 sk_c7=multiply(inverse(sk_c4),sk_c8)|~spl0_2),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f78,f149])).
% 0.13/0.39 fof(f694,plain,(
% 0.13/0.39 sk_c7=multiply(sk_c8,sk_c8)|~spl0_1|~spl0_2),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f74,f693])).
% 0.13/0.39 fof(f724,plain,(
% 0.13/0.39 spl0_14 <=> sk_c8=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f726,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|spl0_14),
% 0.13/0.39 inference(component_clause,[status(thm)],[f724])).
% 0.13/0.39 fof(f727,plain,(
% 0.13/0.39 spl0_15 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f729,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c8))=sk_c8|spl0_15),
% 0.13/0.39 inference(component_clause,[status(thm)],[f727])).
% 0.13/0.39 fof(f730,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f160,f143])).
% 0.13/0.39 fof(f731,plain,(
% 0.13/0.39 ~spl0_14|~spl0_15|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f730,f724,f727,f139])).
% 0.13/0.39 fof(f734,plain,(
% 0.13/0.39 spl0_16 <=> multiply(sk_c8,identity)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f735,plain,(
% 0.13/0.39 multiply(sk_c8,identity)=sk_c7|~spl0_16),
% 0.13/0.39 inference(component_clause,[status(thm)],[f734])).
% 0.13/0.39 fof(f736,plain,(
% 0.13/0.39 ~multiply(sk_c8,identity)=sk_c7|spl0_16),
% 0.13/0.39 inference(component_clause,[status(thm)],[f734])).
% 0.13/0.39 fof(f737,plain,(
% 0.13/0.39 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f143])).
% 0.13/0.39 fof(f738,plain,(
% 0.13/0.39 ~spl0_16|~spl0_15|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f737,f734,f727,f139])).
% 0.13/0.39 fof(f739,plain,(
% 0.13/0.39 spl0_17 <=> multiply(sk_c8,sk_c8)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f742,plain,(
% 0.13/0.39 spl0_18 <=> inverse(identity)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f743,plain,(
% 0.13/0.39 inverse(identity)=sk_c8|~spl0_18),
% 0.13/0.39 inference(component_clause,[status(thm)],[f742])).
% 0.13/0.39 fof(f744,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c8|spl0_18),
% 0.13/0.39 inference(component_clause,[status(thm)],[f742])).
% 0.13/0.39 fof(f745,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~spl0_13),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f143])).
% 0.13/0.39 fof(f746,plain,(
% 0.13/0.39 ~spl0_17|~spl0_18|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f745,f739,f742,f139])).
% 0.13/0.39 fof(f748,plain,(
% 0.13/0.39 ~identity=sk_c8|spl0_18),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f170,f744])).
% 0.13/0.39 fof(f749,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|spl0_16),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f189,f736])).
% 0.13/0.39 fof(f750,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|spl0_15),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f191,f729])).
% 0.13/0.39 fof(f751,plain,(
% 0.13/0.39 $false|spl0_15),
% 0.13/0.39 inference(trivial_equality_resolution,[status(esa)],[f750])).
% 0.13/0.39 fof(f752,plain,(
% 0.13/0.39 spl0_15),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f751])).
% 0.13/0.39 fof(f761,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c4),sk_c6)|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f652,f149])).
% 0.13/0.39 fof(f762,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c8,sk_c6)|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f74,f761])).
% 0.13/0.39 fof(f763,plain,(
% 0.13/0.39 sk_c8=sk_c7|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f82,f762])).
% 0.13/0.39 fof(f765,plain,(
% 0.13/0.39 $false|spl0_16|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f763,f749])).
% 0.13/0.39 fof(f766,plain,(
% 0.13/0.39 spl0_16|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f765])).
% 0.13/0.39 fof(f767,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_11)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 0.13/0.39 fof(f782,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c5|~spl0_5),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f90,f191])).
% 0.13/0.39 fof(f795,plain,(
% 0.13/0.39 ![X0]: (~identity=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_11)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f161,f767])).
% 0.13/0.39 fof(f796,plain,(
% 0.13/0.39 spl0_19 <=> identity=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f798,plain,(
% 0.13/0.39 ~identity=sk_c8|spl0_19),
% 0.13/0.39 inference(component_clause,[status(thm)],[f796])).
% 0.13/0.39 fof(f799,plain,(
% 0.13/0.39 spl0_20 <=> ~inverse(X0)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f800,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~spl0_20)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f799])).
% 0.13/0.39 fof(f804,plain,(
% 0.13/0.39 ~identity=sk_c8|~identity=sk_c8|~spl0_11),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f795])).
% 0.13/0.39 fof(f805,plain,(
% 0.13/0.39 ~spl0_19|~spl0_11),
% 0.13/0.39 inference(split_clause,[status(thm)],[f804,f796,f133])).
% 0.13/0.39 fof(f828,plain,(
% 0.13/0.39 $false|spl0_14|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f763,f726])).
% 0.13/0.39 fof(f829,plain,(
% 0.13/0.39 spl0_14|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f828])).
% 0.13/0.39 fof(f830,plain,(
% 0.13/0.39 sk_c8=sk_c7|~spl0_16),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f189,f735])).
% 0.13/0.39 fof(f1626,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c4|~spl0_1|~spl0_5),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f651,f782])).
% 0.13/0.39 fof(f1647,plain,(
% 0.13/0.39 ~sk_c4=sk_c7|~spl0_1|~spl0_5|spl0_0),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f1626,f72])).
% 0.13/0.39 fof(f1648,plain,(
% 0.13/0.39 ~sk_c4=sk_c8|~spl0_16|~spl0_1|~spl0_5|spl0_0),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f830,f1647])).
% 0.13/0.39 fof(f1709,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c8,sk_c8)|~spl0_16|~spl0_1|~spl0_2),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f830,f694])).
% 0.13/0.39 fof(f1717,plain,(
% 0.13/0.39 inverse(sk_c8)=multiply(sk_c8,inverse(sk_c8))|~spl0_16|~spl0_1|~spl0_2),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f1709,f339])).
% 0.13/0.39 fof(f1718,plain,(
% 0.13/0.39 sk_c4=multiply(sk_c8,inverse(sk_c8))|~spl0_5|~spl0_16|~spl0_1|~spl0_2),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f1626,f1717])).
% 0.13/0.39 fof(f1719,plain,(
% 0.13/0.39 sk_c4=identity|~spl0_5|~spl0_16|~spl0_1|~spl0_2),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f161,f1718])).
% 0.13/0.39 fof(f1723,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c8),sk_c8)|~spl0_16|~spl0_1|~spl0_2),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f1709,f149])).
% 0.13/0.39 fof(f1724,plain,(
% 0.13/0.39 sk_c8=identity|~spl0_16|~spl0_1|~spl0_2),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f36,f1723])).
% 0.13/0.39 fof(f1724,plain,(
% 0.13/0.39 sk_c8=identity|~spl0_16|~spl0_1|~spl0_2),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f36,f1723])).
% 0.13/0.39 fof(f1730,plain,(
% 0.13/0.39 ~identity=sk_c8|~spl0_2|~spl0_16|~spl0_1|~spl0_5|spl0_0),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f1719,f1648])).
% 0.13/0.39 fof(f1739,plain,(
% 0.13/0.39 ~identity=identity|~spl0_2|~spl0_16|~spl0_1|~spl0_5|spl0_0),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f1724,f1730])).
% 0.13/0.39 fof(f1740,plain,(
% 0.13/0.39 $false|~spl0_2|~spl0_16|~spl0_1|~spl0_5|spl0_0),
% 0.13/0.39 inference(trivial_equality_resolution,[status(esa)],[f1739])).
% 0.13/0.39 fof(f1741,plain,(
% 0.13/0.39 ~spl0_2|~spl0_16|~spl0_1|~spl0_5|spl0_0),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1740])).
% 0.13/0.39 fof(f1750,plain,(
% 0.13/0.39 $false|~spl0_20),
% 0.13/0.39 inference(resolution,[status(thm)],[f800,f191])).
% 0.13/0.39 fof(f1751,plain,(
% 0.13/0.39 ~spl0_20),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1750])).
% 0.13/0.39 fof(f1765,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=identity|~spl0_7),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f102,f161])).
% 0.13/0.39 fof(f1766,plain,(
% 0.13/0.39 sk_c8=identity|~spl0_6|~spl0_7),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f94,f1765])).
% 0.13/0.39 fof(f1767,plain,(
% 0.13/0.39 $false|spl0_18|~spl0_6|~spl0_7),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1766,f748])).
% 0.13/0.39 fof(f1768,plain,(
% 0.13/0.39 spl0_18|~spl0_6|~spl0_7),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1767])).
% 0.13/0.39 fof(f1778,plain,(
% 0.13/0.39 spl0_25 <=> inverse(inverse(sk_c7))=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f1780,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c7))=sk_c8|spl0_25),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1778])).
% 0.13/0.39 fof(f1781,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c7))=sk_c8|~identity=sk_c8|~spl0_12),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f36,f137])).
% 0.19/0.46 fof(f1782,plain,(
% 0.19/0.46 ~spl0_25|~spl0_19|~spl0_12),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1781,f1778,f796,f136])).
% 0.19/0.46 fof(f1783,plain,(
% 0.19/0.46 ~inverse(identity)=sk_c8|~sk_c7=sk_c8|~spl0_12),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f35,f137])).
% 0.19/0.46 fof(f1784,plain,(
% 0.19/0.46 ~spl0_18|~spl0_14|~spl0_12),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1783,f742,f724,f136])).
% 0.19/0.46 fof(f1786,plain,(
% 0.19/0.46 ~sk_c7=sk_c8|spl0_25),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f191,f1780])).
% 0.19/0.46 fof(f1787,plain,(
% 0.19/0.46 identity=sk_c8|~spl0_18),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f170,f743])).
% 0.19/0.46 fof(f1788,plain,(
% 0.19/0.46 sk_c8=identity|~spl0_6|~spl0_7),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f94,f632])).
% 0.19/0.46 fof(f2415,plain,(
% 0.19/0.46 $false|spl0_19|~spl0_18),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1787,f798])).
% 0.19/0.46 fof(f2416,plain,(
% 0.19/0.46 spl0_19|~spl0_18),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f2415])).
% 0.19/0.46 fof(f2418,plain,(
% 0.19/0.46 spl0_26 <=> sk_c8=sk_c8),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f2420,plain,(
% 0.19/0.46 ~sk_c8=sk_c8|spl0_26),
% 0.19/0.46 inference(component_clause,[status(thm)],[f2418])).
% 0.19/0.46 fof(f2421,plain,(
% 0.19/0.46 ~inverse(sk_c4)=sk_c8|~sk_c8=sk_c8|~spl0_12|~spl0_2),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f78,f137])).
% 0.19/0.46 fof(f2422,plain,(
% 0.19/0.46 ~spl0_1|~spl0_26|~spl0_12|~spl0_2),
% 0.19/0.46 inference(split_clause,[status(thm)],[f2421,f73,f2418,f136,f77])).
% 0.19/0.46 fof(f2431,plain,(
% 0.19/0.46 $false|spl0_26),
% 0.19/0.46 inference(trivial_equality_resolution,[status(esa)],[f2420])).
% 0.19/0.46 fof(f2432,plain,(
% 0.19/0.46 spl0_26),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f2431])).
% 0.19/0.46 fof(f2433,plain,(
% 0.19/0.46 ~sk_c7=identity|~spl0_6|~spl0_7|spl0_25),
% 0.19/0.46 inference(backward_demodulation,[status(thm)],[f1788,f1786])).
% 0.19/0.46 fof(f2437,plain,(
% 0.19/0.46 inverse(identity)=sk_c7|~spl0_6|~spl0_7|~spl0_0),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f1788,f71])).
% 0.19/0.46 fof(f2438,plain,(
% 0.19/0.46 identity=sk_c7|~spl0_6|~spl0_7|~spl0_0),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f170,f2437])).
% 0.19/0.46 fof(f2439,plain,(
% 0.19/0.46 $false|spl0_25|~spl0_6|~spl0_7|~spl0_0),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2438,f2433])).
% 0.19/0.46 fof(f2440,plain,(
% 0.19/0.46 spl0_25|~spl0_6|~spl0_7|~spl0_0),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f2439])).
% 0.19/0.46 fof(f2550,plain,(
% 0.19/0.46 ~identity=sk_c7|~spl0_6|~spl0_7|spl0_16),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f1788,f749])).
% 0.19/0.46 fof(f2554,plain,(
% 0.19/0.46 ~identity=identity|~spl0_0|~spl0_6|~spl0_7|spl0_16),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f2438,f2550])).
% 0.19/0.46 fof(f2555,plain,(
% 0.19/0.46 $false|~spl0_0|~spl0_6|~spl0_7|spl0_16),
% 0.19/0.46 inference(trivial_equality_resolution,[status(esa)],[f2554])).
% 0.19/0.46 fof(f2556,plain,(
% 0.19/0.46 ~spl0_0|~spl0_6|~spl0_7|spl0_16),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f2555])).
% 0.19/0.46 fof(f2562,plain,(
% 0.19/0.46 spl0_19|~spl0_16|~spl0_1|~spl0_2),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1724,f796,f734,f73,f77])).
% 0.19/0.46 fof(f2563,plain,(
% 0.19/0.46 $false),
% 0.19/0.46 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f142,f731,f738,f746,f752,f766,f805,f829,f1741,f1751,f1768,f1782,f1784,f2416,f2422,f2432,f2440,f2556,f2562])).
% 0.19/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.46 % Elapsed time: 0.113489 seconds
% 0.19/0.46 % CPU time: 0.082587 seconds
% 0.19/0.46 % Memory used: 10.068 MB
%------------------------------------------------------------------------------