TSTP Solution File: GRP279-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:11:11 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.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 11:33:03 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 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 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_c8) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 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_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 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_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 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_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 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_c8| inverse(sk_c5) = sk_c7 ) ),
% 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_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = 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(f22,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,negated_conjecture,(
% 0.13/0.39 (![X3,X4,X5,X1,X2]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(X4,X5) != sk_c8| inverse(X4) != X5| multiply(X5,sk_c7) != sk_c8| multiply(sk_c7,sk_c8) != sk_c6| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(X2,sk_c6) != sk_c7 ) ))),
% 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 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 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_c8)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 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_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 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_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c7),
% 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_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f20])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![X2]: (((![X1]: ((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(X4,X5)=sk_c8)|~inverse(X4)=X5))|~multiply(X5,sk_c7)=sk_c8))|~multiply(sk_c7,sk_c8)=sk_c6)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~inverse(X2)=sk_c7)|~multiply(X2,sk_c6)=sk_c7)),
% 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]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c8|~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f68])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 spl0_0 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c7)=sk_c6|~spl0_0),
% 0.13/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c7)=sk_c6|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 <=> multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c8)=sk_c6|~spl0_1),
% 0.13/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c8)=sk_c6|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 <=> inverse(sk_c4)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c8|~spl0_2),
% 0.13/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.13/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.39 fof(f85,plain,(
% 0.13/0.39 spl0_4 <=> inverse(sk_c5)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c7|~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 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c6)=sk_c7|~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_c8)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c7|~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(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_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f102,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c8|~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(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(f109,plain,(
% 0.13/0.39 spl0_8 <=> multiply(sk_c2,sk_c3)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f110,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|~spl0_8),
% 0.13/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 spl0_8|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 spl0_8|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.13/0.39 fof(f114,plain,(
% 0.13/0.39 spl0_8|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.13/0.39 fof(f115,plain,(
% 0.13/0.39 spl0_8|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 spl0_8|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.13/0.39 fof(f117,plain,(
% 0.13/0.39 spl0_9 <=> inverse(sk_c2)=sk_c3),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f118,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|~spl0_9),
% 0.13/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.39 fof(f120,plain,(
% 0.13/0.39 spl0_9|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.13/0.39 fof(f121,plain,(
% 0.13/0.39 spl0_9|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 spl0_9|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 spl0_9|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 spl0_9|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 spl0_11 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=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 <=> ~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~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,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,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 <=> ~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=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_14 <=> ~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_14)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.39 fof(f145,plain,(
% 0.13/0.39 ~spl0_0|spl0_11|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.13/0.39 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.13/0.39 fof(f150,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(f151,plain,(
% 0.13/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f35,f150])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f151,f151])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f151])).
% 0.13/0.39 fof(f162,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f151,f152])).
% 0.13/0.39 fof(f163,plain,(
% 0.13/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f152])).
% 0.13/0.39 fof(f172,plain,(
% 0.13/0.39 inverse(identity)=identity),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f163])).
% 0.13/0.39 fof(f191,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f152,f153])).
% 0.13/0.39 fof(f192,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f152,f191])).
% 0.13/0.39 fof(f193,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f191,f192])).
% 0.13/0.39 fof(f253,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2)))=X2)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f37,f162])).
% 0.13/0.39 fof(f618,plain,(
% 0.13/0.39 inverse(sk_c7)=sk_c5|~spl0_4),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f86,f193])).
% 0.13/0.39 fof(f623,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c4|~spl0_2),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f78,f193])).
% 0.13/0.39 fof(f629,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=identity|~spl0_9),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f118,f163])).
% 0.13/0.39 fof(f732,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c7),sk_c6)|~spl0_1),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f74,f151])).
% 0.13/0.39 fof(f733,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c5,sk_c6)|~spl0_4|~spl0_1),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f618,f732])).
% 0.13/0.39 fof(f734,plain,(
% 0.13/0.39 sk_c8=sk_c7|~spl0_5|~spl0_4|~spl0_1),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f90,f733])).
% 0.13/0.39 fof(f736,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c8)=sk_c6|~spl0_5|~spl0_4|~spl0_1),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f734,f74])).
% 0.13/0.39 fof(f741,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c5|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f734,f618])).
% 0.13/0.39 fof(f742,plain,(
% 0.13/0.39 sk_c4=sk_c5|~spl0_2|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f623,f741])).
% 0.13/0.39 fof(f743,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c8|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f734,f86])).
% 0.13/0.39 fof(f744,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c6)=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_14)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f734,f143])).
% 0.13/0.39 fof(f745,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c6)=sk_c8|~spl0_5|~spl0_4|~spl0_1|~spl0_14)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f734,f744])).
% 0.13/0.39 fof(f748,plain,(
% 0.13/0.39 spl0_15 <=> inverse(inverse(sk_c6))=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f749,plain,(
% 0.13/0.39 inverse(inverse(sk_c6))=sk_c8|~spl0_15),
% 0.13/0.39 inference(component_clause,[status(thm)],[f748])).
% 0.13/0.39 fof(f750,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c6))=sk_c8|spl0_15),
% 0.13/0.39 inference(component_clause,[status(thm)],[f748])).
% 0.13/0.39 fof(f751,plain,(
% 0.13/0.39 spl0_16 <=> identity=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f752,plain,(
% 0.13/0.39 identity=sk_c8|~spl0_16),
% 0.13/0.39 inference(component_clause,[status(thm)],[f751])).
% 0.13/0.39 fof(f753,plain,(
% 0.13/0.39 ~identity=sk_c8|spl0_16),
% 0.13/0.39 inference(component_clause,[status(thm)],[f751])).
% 0.13/0.39 fof(f754,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c6))=sk_c8|~identity=sk_c8|~spl0_5|~spl0_4|~spl0_1|~spl0_14),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f745])).
% 0.13/0.39 fof(f755,plain,(
% 0.13/0.39 ~spl0_15|~spl0_16|~spl0_5|~spl0_4|~spl0_1|~spl0_14),
% 0.13/0.39 inference(split_clause,[status(thm)],[f754,f748,f751,f89,f85,f73,f142])).
% 0.13/0.39 fof(f756,plain,(
% 0.13/0.39 spl0_17 <=> inverse(identity)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f757,plain,(
% 0.13/0.39 inverse(identity)=sk_c8|~spl0_17),
% 0.13/0.39 inference(component_clause,[status(thm)],[f756])).
% 0.13/0.39 fof(f758,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c8|spl0_17),
% 0.13/0.39 inference(component_clause,[status(thm)],[f756])).
% 0.13/0.39 fof(f759,plain,(
% 0.13/0.39 spl0_18 <=> sk_c6=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f761,plain,(
% 0.13/0.39 ~sk_c6=sk_c8|spl0_18),
% 0.13/0.39 inference(component_clause,[status(thm)],[f759])).
% 0.13/0.39 fof(f765,plain,(
% 0.13/0.39 ~identity=sk_c8|spl0_17),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f172,f758])).
% 0.13/0.39 fof(f765,plain,(
% 0.13/0.39 ~identity=sk_c8|spl0_17),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f172,f758])).
% 0.13/0.39 fof(f766,plain,(
% 0.13/0.39 ~sk_c6=sk_c8|spl0_15),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f193,f750])).
% 0.13/0.39 fof(f771,plain,(
% 0.13/0.39 spl0_19 <=> inverse(inverse(sk_c7))=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f773,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c7))=sk_c8|spl0_19),
% 0.13/0.39 inference(component_clause,[status(thm)],[f771])).
% 0.13/0.39 fof(f774,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c7))=sk_c8|~identity=sk_c8|~spl0_13),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f140])).
% 0.13/0.39 fof(f775,plain,(
% 0.13/0.39 ~spl0_19|~spl0_16|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f774,f771,f751,f139])).
% 0.13/0.39 fof(f776,plain,(
% 0.13/0.39 spl0_20 <=> sk_c7=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f777,plain,(
% 0.13/0.39 sk_c7=sk_c8|~spl0_20),
% 0.13/0.39 inference(component_clause,[status(thm)],[f776])).
% 0.13/0.39 fof(f778,plain,(
% 0.13/0.39 ~sk_c7=sk_c8|spl0_20),
% 0.13/0.39 inference(component_clause,[status(thm)],[f776])).
% 0.13/0.39 fof(f779,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c8|~sk_c7=sk_c8|~spl0_13),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f140])).
% 0.13/0.39 fof(f780,plain,(
% 0.13/0.39 ~spl0_17|~spl0_20|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f779,f756,f776,f139])).
% 0.13/0.39 fof(f782,plain,(
% 0.13/0.39 ~sk_c7=sk_c8|spl0_19),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f193,f773])).
% 0.13/0.39 fof(f783,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_12)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.13/0.39 fof(f826,plain,(
% 0.13/0.39 sk_c8=identity|~spl0_8|~spl0_9),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f110,f629])).
% 0.13/0.39 fof(f827,plain,(
% 0.13/0.39 $false|spl0_17|~spl0_8|~spl0_9),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f826,f765])).
% 0.13/0.39 fof(f828,plain,(
% 0.13/0.39 spl0_17|~spl0_8|~spl0_9),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f827])).
% 0.13/0.39 fof(f829,plain,(
% 0.13/0.39 identity=sk_c8|~spl0_17),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f172,f757])).
% 0.13/0.39 fof(f834,plain,(
% 0.13/0.39 ~sk_c7=identity|~spl0_8|~spl0_9|spl0_20),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f826,f778])).
% 0.13/0.39 fof(f840,plain,(
% 0.13/0.39 ~identity=identity|~spl0_8|~spl0_9|spl0_16),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f826,f753])).
% 0.13/0.39 fof(f841,plain,(
% 0.13/0.39 $false|~spl0_8|~spl0_9|spl0_16),
% 0.13/0.39 inference(trivial_equality_resolution,[status(esa)],[f840])).
% 0.13/0.39 fof(f842,plain,(
% 0.13/0.39 ~spl0_8|~spl0_9|spl0_16),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f841])).
% 0.13/0.39 fof(f844,plain,(
% 0.13/0.39 multiply(identity,sk_c7)=sk_c6|~spl0_8|~spl0_9|~spl0_0),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f826,f71])).
% 0.13/0.39 fof(f845,plain,(
% 0.13/0.39 sk_c7=sk_c6|~spl0_8|~spl0_9|~spl0_0),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f35,f844])).
% 0.13/0.39 fof(f1622,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c8)=sk_c8|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f734,f82])).
% 0.13/0.39 fof(f1625,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c4,multiply(sk_c8,multiply(inverse(sk_c8),X0)))=X0|~spl0_5|~spl0_4|~spl0_1|~spl0_3)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f1622,f253])).
% 0.13/0.39 fof(f1626,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c4,X0)=X0|~spl0_5|~spl0_4|~spl0_1|~spl0_3)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f162,f1625])).
% 0.13/0.39 fof(f1632,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~spl0_5|~spl0_4|~spl0_1|spl0_19),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f734,f782])).
% 0.13/0.39 fof(f1633,plain,(
% 0.13/0.39 $false|~spl0_5|~spl0_4|~spl0_1|spl0_19),
% 0.13/0.39 inference(trivial_equality_resolution,[status(esa)],[f1632])).
% 0.13/0.39 fof(f1634,plain,(
% 0.13/0.39 ~spl0_5|~spl0_4|~spl0_1|spl0_19),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1633])).
% 0.13/0.39 fof(f1639,plain,(
% 0.13/0.39 ~sk_c6=identity|~spl0_17|spl0_18),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f829,f761])).
% 0.13/0.39 fof(f1641,plain,(
% 0.13/0.39 ~sk_c7=identity|~spl0_8|~spl0_9|~spl0_0|~spl0_17|spl0_18),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f845,f1639])).
% 0.13/0.39 fof(f1647,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c7|~spl0_4),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f618,f193])).
% 0.13/0.39 fof(f1660,plain,(
% 0.13/0.39 ![X0]: (~identity=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_12)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f163,f783])).
% 0.13/0.39 fof(f1661,plain,(
% 0.13/0.39 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_17|~spl0_12)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f829,f1660])).
% 0.13/0.39 fof(f1662,plain,(
% 0.13/0.39 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c7)=identity|~spl0_17|~spl0_12)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f829,f1661])).
% 0.13/0.39 fof(f1663,plain,(
% 0.13/0.39 ![X0]: (~multiply(inverse(X0),sk_c7)=identity|~spl0_17|~spl0_12)),
% 0.13/0.39 inference(trivial_equality_resolution,[status(esa)],[f1662])).
% 0.13/0.39 fof(f1664,plain,(
% 0.13/0.39 $false|~spl0_17|~spl0_12),
% 0.13/0.39 inference(resolution,[status(thm)],[f1663,f36])).
% 0.13/0.39 fof(f1665,plain,(
% 0.13/0.39 ~spl0_17|~spl0_12),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1664])).
% 0.13/0.39 fof(f1672,plain,(
% 0.13/0.39 sk_c7=sk_c8|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f86,f743])).
% 0.13/0.39 fof(f1684,plain,(
% 0.13/0.39 spl0_21 <=> identity=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f1685,plain,(
% 0.13/0.39 identity=sk_c7|~spl0_21),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1684])).
% 0.13/0.39 fof(f1686,plain,(
% 0.13/0.39 ~identity=sk_c7|spl0_21),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1684])).
% 0.13/0.39 fof(f1687,plain,(
% 0.13/0.39 spl0_22 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f1689,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c8))=sk_c8|spl0_22),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1687])).
% 0.13/0.39 fof(f1690,plain,(
% 0.13/0.39 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_11),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f134])).
% 0.13/0.39 fof(f1691,plain,(
% 0.13/0.39 ~spl0_21|~spl0_22|~spl0_11),
% 0.13/0.39 inference(split_clause,[status(thm)],[f1690,f1684,f1687,f133])).
% 0.13/0.39 fof(f1692,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~spl0_11),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f134])).
% 0.13/0.39 fof(f1693,plain,(
% 0.13/0.39 ~spl0_20|~spl0_17|~spl0_11),
% 0.13/0.39 inference(split_clause,[status(thm)],[f1692,f776,f756,f133])).
% 0.13/0.39 fof(f1695,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|spl0_22),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f193,f1689])).
% 0.13/0.39 fof(f1696,plain,(
% 0.13/0.39 $false|spl0_22),
% 0.13/0.39 inference(trivial_equality_resolution,[status(esa)],[f1695])).
% 0.13/0.39 fof(f1697,plain,(
% 0.13/0.39 spl0_22),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1696])).
% 0.13/0.39 fof(f1700,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~spl0_5|~spl0_1|~spl0_4|spl0_20),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f1672,f778])).
% 0.13/0.39 fof(f1701,plain,(
% 0.13/0.39 $false|~spl0_5|~spl0_1|~spl0_4|spl0_20),
% 0.13/0.39 inference(trivial_equality_resolution,[status(esa)],[f1700])).
% 0.13/0.39 fof(f1702,plain,(
% 0.13/0.39 ~spl0_5|~spl0_1|~spl0_4|spl0_20),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1701])).
% 0.13/0.39 fof(f1703,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c7|~spl0_2|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f742,f1647])).
% 0.13/0.40 fof(f1704,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c8|~spl0_2|~spl0_5|~spl0_1|~spl0_4),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1672,f1703])).
% 0.13/0.40 fof(f1729,plain,(
% 0.13/0.40 identity=inverse(sk_c4)|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f163,f1626])).
% 0.13/0.40 fof(f1730,plain,(
% 0.13/0.40 identity=sk_c8|~spl0_2|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1704,f1729])).
% 0.13/0.40 fof(f1731,plain,(
% 0.13/0.40 $false|spl0_16|~spl0_2|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1730,f753])).
% 0.13/0.40 fof(f1732,plain,(
% 0.13/0.40 spl0_16|~spl0_2|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1731])).
% 0.13/0.40 fof(f1756,plain,(
% 0.13/0.40 ~identity=sk_c8|~spl0_5|~spl0_1|~spl0_4|spl0_21),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1672,f1686])).
% 0.13/0.40 fof(f1757,plain,(
% 0.13/0.40 ~spl0_16|~spl0_5|~spl0_1|~spl0_4|spl0_21),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1756,f751,f89,f73,f85,f1684])).
% 0.13/0.40 fof(f1758,plain,(
% 0.13/0.40 ~spl0_16|spl0_17),
% 0.13/0.40 inference(split_clause,[status(thm)],[f765,f751,f756])).
% 0.13/0.40 fof(f1761,plain,(
% 0.13/0.40 ~spl0_21|~spl0_8|~spl0_9|~spl0_0|~spl0_17|spl0_18),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1641,f1684,f109,f117,f70,f756,f759])).
% 0.13/0.40 fof(f2447,plain,(
% 0.13/0.40 multiply(sk_c1,identity)=sk_c7|~spl0_16|~spl0_6),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f752,f94])).
% 0.13/0.40 fof(f2448,plain,(
% 0.13/0.40 sk_c1=sk_c7|~spl0_16|~spl0_6),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f191,f2447])).
% 0.13/0.40 fof(f2470,plain,(
% 0.13/0.40 inverse(sk_c7)=sk_c8|~spl0_16|~spl0_6|~spl0_7),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2448,f102])).
% 0.13/0.40 fof(f2471,plain,(
% 0.13/0.40 inverse(sk_c7)=identity|~spl0_16|~spl0_6|~spl0_7),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f752,f2470])).
% 0.13/0.40 fof(f2482,plain,(
% 0.13/0.40 inverse(identity)=sk_c7|~spl0_16|~spl0_6|~spl0_7),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f2471,f193])).
% 0.13/0.40 fof(f2483,plain,(
% 0.13/0.40 identity=sk_c7|~spl0_16|~spl0_6|~spl0_7),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f172,f2482])).
% 0.13/0.40 fof(f2484,plain,(
% 0.13/0.40 $false|spl0_21|~spl0_16|~spl0_6|~spl0_7),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2483,f1686])).
% 0.13/0.40 fof(f2485,plain,(
% 0.13/0.40 spl0_21|~spl0_16|~spl0_6|~spl0_7),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f2484])).
% 0.13/0.40 fof(f2486,plain,(
% 0.13/0.40 multiply(sk_c7,identity)=identity|~spl0_16|~spl0_6|~spl0_7),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f2471,f163])).
% 0.13/0.40 fof(f2487,plain,(
% 0.13/0.40 sk_c7=identity|~spl0_16|~spl0_6|~spl0_7),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f191,f2486])).
% 0.13/0.40 fof(f2492,plain,(
% 0.13/0.40 ~spl0_18|spl0_15),
% 0.13/0.40 inference(split_clause,[status(thm)],[f766,f759,f748])).
% 0.13/0.40 fof(f2633,plain,(
% 0.13/0.40 sk_c7=identity|~spl0_16|~spl0_20),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f752,f777])).
% 0.13/0.40 fof(f2646,plain,(
% 0.13/0.40 multiply(identity,sk_c8)=sk_c6|~spl0_16|~spl0_5|~spl0_4|~spl0_1),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f752,f736])).
% 0.13/0.40 fof(f2647,plain,(
% 0.13/0.40 sk_c8=sk_c6|~spl0_16|~spl0_5|~spl0_4|~spl0_1),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f2646])).
% 0.13/0.40 fof(f2648,plain,(
% 0.13/0.40 identity=sk_c6|~spl0_16|~spl0_5|~spl0_4|~spl0_1),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f752,f2647])).
% 0.13/0.40 fof(f2727,plain,(
% 0.13/0.40 ~sk_c6=identity|~spl0_16|spl0_18),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f752,f761])).
% 0.13/0.40 fof(f2739,plain,(
% 0.13/0.40 multiply(identity,sk_c7)=sk_c6|~spl0_16|~spl0_0),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f752,f71])).
% 0.13/0.40 fof(f2740,plain,(
% 0.13/0.40 sk_c7=sk_c6|~spl0_16|~spl0_0),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f2739])).
% 0.13/0.40 fof(f2741,plain,(
% 0.13/0.40 identity=sk_c6|~spl0_6|~spl0_7|~spl0_16|~spl0_0),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2487,f2740])).
% 0.13/0.40 fof(f2744,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_16|~spl0_6|~spl0_7|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2487,f143])).
% 0.13/0.40 fof(f2745,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_0|~spl0_16|~spl0_6|~spl0_7|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2741,f2744])).
% 0.13/0.40 fof(f2746,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_0|~spl0_16|~spl0_6|~spl0_7|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f191,f2745])).
% 0.13/0.40 fof(f2747,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_0|~spl0_16|~spl0_6|~spl0_7|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2487,f2746])).
% 0.13/0.40 fof(f2748,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~spl0_0|~spl0_16|~spl0_6|~spl0_7|~spl0_14),
% 0.13/0.40 inference(destructive_equality_resolution,[status(esa)],[f2747])).
% 0.13/0.40 fof(f2749,plain,(
% 0.13/0.40 $false|~spl0_0|~spl0_16|~spl0_6|~spl0_7|~spl0_14),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2748,f172])).
% 0.13/0.40 fof(f2750,plain,(
% 0.13/0.40 ~spl0_0|~spl0_16|~spl0_6|~spl0_7|~spl0_14),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f2749])).
% 0.13/0.40 fof(f3120,plain,(
% 0.13/0.40 ~identity=identity|~spl0_5|~spl0_4|~spl0_1|~spl0_16|spl0_18),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2648,f2727])).
% 0.13/0.40 fof(f3121,plain,(
% 0.13/0.40 $false|~spl0_5|~spl0_4|~spl0_1|~spl0_16|spl0_18),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f3120])).
% 0.13/0.40 fof(f3122,plain,(
% 0.13/0.41 ~spl0_5|~spl0_4|~spl0_1|~spl0_16|spl0_18),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f3121])).
% 0.13/0.41 fof(f3124,plain,(
% 0.13/0.41 ~multiply(identity,sk_c7)=sk_c6|~spl0_16|spl0_0),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f752,f72])).
% 0.13/0.41 fof(f3125,plain,(
% 0.13/0.41 ~sk_c7=sk_c6|~spl0_16|spl0_0),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f35,f3124])).
% 0.13/0.41 fof(f3126,plain,(
% 0.13/0.41 ~identity=sk_c6|~spl0_20|~spl0_16|spl0_0),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f2633,f3125])).
% 0.13/0.41 fof(f3127,plain,(
% 0.13/0.41 ~identity=identity|~spl0_5|~spl0_4|~spl0_1|~spl0_20|~spl0_16|spl0_0),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f2648,f3126])).
% 0.13/0.41 fof(f3128,plain,(
% 0.13/0.41 $false|~spl0_5|~spl0_4|~spl0_1|~spl0_20|~spl0_16|spl0_0),
% 0.13/0.41 inference(trivial_equality_resolution,[status(esa)],[f3127])).
% 0.13/0.41 fof(f3129,plain,(
% 0.13/0.41 ~spl0_5|~spl0_4|~spl0_1|~spl0_20|~spl0_16|spl0_0),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f3128])).
% 0.13/0.41 fof(f3130,plain,(
% 0.13/0.41 sk_c6=sk_c8|~spl0_15),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f193,f749])).
% 0.13/0.41 fof(f3131,plain,(
% 0.13/0.41 sk_c6=identity|~spl0_16|~spl0_15),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f752,f3130])).
% 0.13/0.41 fof(f3196,plain,(
% 0.13/0.41 ~spl0_21|~spl0_8|~spl0_9|spl0_20),
% 0.13/0.41 inference(split_clause,[status(thm)],[f834,f1684,f109,f117,f776])).
% 0.13/0.41 fof(f3268,plain,(
% 0.13/0.41 ~multiply(sk_c7,identity)=sk_c6|~spl0_16|spl0_1),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f752,f75])).
% 0.13/0.41 fof(f3269,plain,(
% 0.13/0.41 ~sk_c7=sk_c6|~spl0_16|spl0_1),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f191,f3268])).
% 0.13/0.41 fof(f3873,plain,(
% 0.13/0.41 ~identity=sk_c6|~spl0_21|~spl0_16|spl0_1),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f1685,f3269])).
% 0.13/0.41 fof(f3874,plain,(
% 0.13/0.41 ~identity=identity|~spl0_15|~spl0_21|~spl0_16|spl0_1),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f3131,f3873])).
% 0.13/0.41 fof(f3875,plain,(
% 0.13/0.41 $false|~spl0_15|~spl0_21|~spl0_16|spl0_1),
% 0.13/0.41 inference(trivial_equality_resolution,[status(esa)],[f3874])).
% 0.13/0.41 fof(f3876,plain,(
% 0.13/0.41 ~spl0_15|~spl0_21|~spl0_16|spl0_1),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f3875])).
% 0.13/0.41 fof(f3877,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f76,f88,f92,f96,f99,f100,f104,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f145,f755,f775,f780,f828,f842,f1634,f1665,f1691,f1693,f1697,f1702,f1732,f1757,f1758,f1761,f2485,f2492,f2750,f3122,f3129,f3196,f3876])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.062084 seconds
% 0.13/0.41 % CPU time: 0.315913 seconds
% 0.13/0.41 % Memory used: 32.710 MB
%------------------------------------------------------------------------------