TSTP Solution File: GRP275-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP275-1 : 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 0.17s 0.39s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32 % Computer : n024.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 30 11:31:03 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.17/0.39 % Refutation found
% 0.17/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.39 fof(f1,axiom,(
% 0.17/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f2,axiom,(
% 0.17/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f3,axiom,(
% 0.17/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f4,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f5,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f6,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f7,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f8,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f10,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f11,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f12,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f13,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f14,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f16,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f17,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c8,sk_c6) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f18,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f19,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f21,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f22,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f23,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f24,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f25,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f26,negated_conjecture,(
% 0.17/0.39 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f28,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f29,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f30,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f31,negated_conjecture,(
% 0.17/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f34,negated_conjecture,(
% 0.17/0.39 (![X3,X4,X1,X5,X2]: (( multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(sk_c8,sk_c6) != sk_c7| inverse(X4) != sk_c8| multiply(X4,sk_c7) != sk_c8| multiply(sk_c7,sk_c8) != sk_c6| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(X5,X2) != sk_c7| inverse(X5) != X2| multiply(X2,sk_c8) != sk_c7 ) ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f35,plain,(
% 0.17/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.17/0.39 fof(f36,plain,(
% 0.17/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.17/0.39 fof(f37,plain,(
% 0.17/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.17/0.39 fof(f38,plain,(
% 0.17/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.39 fof(f39,plain,(
% 0.17/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.17/0.39 fof(f40,plain,(
% 0.17/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.17/0.39 fof(f41,plain,(
% 0.17/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.17/0.39 fof(f42,plain,(
% 0.17/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.17/0.39 fof(f44,plain,(
% 0.17/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f10])).
% 0.17/0.39 fof(f45,plain,(
% 0.17/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f11])).
% 0.17/0.39 fof(f46,plain,(
% 0.17/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.17/0.39 fof(f47,plain,(
% 0.17/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c5)=sk_c7),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f13])).
% 0.17/0.39 fof(f48,plain,(
% 0.17/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f14])).
% 0.17/0.39 fof(f50,plain,(
% 0.17/0.39 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.17/0.39 fof(f51,plain,(
% 0.17/0.39 multiply(sk_c8,sk_c6)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.17/0.39 fof(f52,plain,(
% 0.17/0.39 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.17/0.39 fof(f53,plain,(
% 0.17/0.39 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f19])).
% 0.17/0.39 fof(f55,plain,(
% 0.17/0.39 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f21])).
% 0.17/0.39 fof(f56,plain,(
% 0.17/0.39 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f22])).
% 0.17/0.39 fof(f57,plain,(
% 0.17/0.39 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f23])).
% 0.17/0.39 fof(f58,plain,(
% 0.17/0.39 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.17/0.39 fof(f59,plain,(
% 0.17/0.39 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c5)=sk_c7),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f25])).
% 0.17/0.39 fof(f60,plain,(
% 0.17/0.39 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f26])).
% 0.17/0.39 fof(f62,plain,(
% 0.17/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f28])).
% 0.17/0.39 fof(f63,plain,(
% 0.17/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f29])).
% 0.17/0.39 fof(f64,plain,(
% 0.17/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f30])).
% 0.17/0.39 fof(f65,plain,(
% 0.17/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c5)=sk_c7),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f31])).
% 0.17/0.39 fof(f68,plain,(
% 0.17/0.39 ![X2]: ((![X5]: (((![X1]: ((((![X4]: ((((![X3]: (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))|~multiply(sk_c8,sk_c6)=sk_c7)|~inverse(X4)=sk_c8)|~multiply(X4,sk_c7)=sk_c8))|~multiply(sk_c7,sk_c8)=sk_c6)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(X5,X2)=sk_c7)|~inverse(X5)=X2))|~multiply(X2,sk_c8)=sk_c7)),
% 0.17/0.39 inference(miniscoping,[status(esa)],[f34])).
% 0.17/0.39 fof(f69,plain,(
% 0.17/0.39 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c8,sk_c6)=sk_c7|~inverse(X1)=sk_c8|~multiply(X1,sk_c7)=sk_c8|~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~multiply(X3,X4)=sk_c7|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c7)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f68])).
% 0.17/0.39 fof(f70,plain,(
% 0.17/0.39 spl0_0 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f71,plain,(
% 0.17/0.39 multiply(sk_c1,sk_c8)=sk_c7|~spl0_0),
% 0.17/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.17/0.39 fof(f73,plain,(
% 0.17/0.39 spl0_1 <=> multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f74,plain,(
% 0.17/0.39 multiply(sk_c7,sk_c8)=sk_c6|~spl0_1),
% 0.17/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.17/0.39 fof(f75,plain,(
% 0.17/0.39 ~multiply(sk_c7,sk_c8)=sk_c6|spl0_1),
% 0.17/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.17/0.39 fof(f76,plain,(
% 0.17/0.39 spl0_0|spl0_1),
% 0.17/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.17/0.39 fof(f77,plain,(
% 0.17/0.39 spl0_2 <=> inverse(sk_c3)=sk_c8),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f78,plain,(
% 0.17/0.39 inverse(sk_c3)=sk_c8|~spl0_2),
% 0.17/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.17/0.39 fof(f80,plain,(
% 0.17/0.39 spl0_0|spl0_2),
% 0.17/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.17/0.39 fof(f81,plain,(
% 0.17/0.39 spl0_3 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f82,plain,(
% 0.17/0.39 multiply(sk_c3,sk_c7)=sk_c8|~spl0_3),
% 0.17/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.17/0.39 fof(f84,plain,(
% 0.17/0.39 spl0_0|spl0_3),
% 0.17/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.17/0.39 fof(f85,plain,(
% 0.17/0.39 spl0_4 <=> multiply(sk_c4,sk_c5)=sk_c7),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f86,plain,(
% 0.17/0.39 multiply(sk_c4,sk_c5)=sk_c7|~spl0_4),
% 0.17/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.17/0.39 fof(f88,plain,(
% 0.17/0.39 spl0_0|spl0_4),
% 0.17/0.39 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.17/0.39 fof(f89,plain,(
% 0.17/0.39 spl0_5 <=> inverse(sk_c4)=sk_c5),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f90,plain,(
% 0.17/0.39 inverse(sk_c4)=sk_c5|~spl0_5),
% 0.17/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.17/0.39 fof(f91,plain,(
% 0.17/0.39 ~inverse(sk_c4)=sk_c5|spl0_5),
% 0.17/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.17/0.39 fof(f92,plain,(
% 0.17/0.39 spl0_0|spl0_5),
% 0.17/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.17/0.39 fof(f93,plain,(
% 0.17/0.39 spl0_6 <=> multiply(sk_c5,sk_c8)=sk_c7),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f94,plain,(
% 0.17/0.39 multiply(sk_c5,sk_c8)=sk_c7|~spl0_6),
% 0.17/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.17/0.39 fof(f97,plain,(
% 0.17/0.39 spl0_7 <=> inverse(sk_c1)=sk_c8),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f98,plain,(
% 0.17/0.39 inverse(sk_c1)=sk_c8|~spl0_7),
% 0.17/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.17/0.39 fof(f100,plain,(
% 0.17/0.39 spl0_7|spl0_1),
% 0.17/0.39 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.17/0.39 fof(f101,plain,(
% 0.17/0.39 spl0_7|spl0_2),
% 0.17/0.39 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.17/0.39 fof(f102,plain,(
% 0.17/0.39 spl0_7|spl0_3),
% 0.17/0.39 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.17/0.39 fof(f103,plain,(
% 0.17/0.39 spl0_7|spl0_4),
% 0.17/0.39 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.17/0.39 fof(f104,plain,(
% 0.17/0.39 spl0_7|spl0_5),
% 0.17/0.39 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.17/0.39 fof(f106,plain,(
% 0.17/0.39 spl0_8 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f107,plain,(
% 0.17/0.39 multiply(sk_c8,sk_c6)=sk_c7|~spl0_8),
% 0.17/0.39 inference(component_clause,[status(thm)],[f106])).
% 0.17/0.39 fof(f108,plain,(
% 0.17/0.39 ~multiply(sk_c8,sk_c6)=sk_c7|spl0_8),
% 0.17/0.39 inference(component_clause,[status(thm)],[f106])).
% 0.17/0.39 fof(f109,plain,(
% 0.17/0.39 spl0_8|spl0_1),
% 0.17/0.39 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.17/0.39 fof(f110,plain,(
% 0.17/0.39 spl0_8|spl0_2),
% 0.17/0.39 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.17/0.39 fof(f111,plain,(
% 0.17/0.39 spl0_8|spl0_3),
% 0.17/0.39 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.17/0.39 fof(f112,plain,(
% 0.17/0.39 spl0_8|spl0_4),
% 0.17/0.39 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.17/0.39 fof(f114,plain,(
% 0.17/0.39 spl0_8|spl0_6),
% 0.17/0.39 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.17/0.39 fof(f115,plain,(
% 0.17/0.39 spl0_9 <=> inverse(sk_c2)=sk_c8),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f116,plain,(
% 0.17/0.39 inverse(sk_c2)=sk_c8|~spl0_9),
% 0.17/0.39 inference(component_clause,[status(thm)],[f115])).
% 0.17/0.39 fof(f118,plain,(
% 0.17/0.39 spl0_9|spl0_1),
% 0.17/0.39 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.17/0.39 fof(f119,plain,(
% 0.17/0.39 spl0_9|spl0_2),
% 0.17/0.39 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.17/0.39 fof(f120,plain,(
% 0.17/0.39 spl0_9|spl0_3),
% 0.17/0.39 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.17/0.39 fof(f121,plain,(
% 0.17/0.39 spl0_9|spl0_4),
% 0.17/0.39 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.17/0.39 fof(f122,plain,(
% 0.17/0.39 spl0_9|spl0_5),
% 0.17/0.39 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.17/0.39 fof(f124,plain,(
% 0.17/0.39 spl0_10 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f125,plain,(
% 0.17/0.39 multiply(sk_c2,sk_c7)=sk_c8|~spl0_10),
% 0.17/0.39 inference(component_clause,[status(thm)],[f124])).
% 0.17/0.39 fof(f127,plain,(
% 0.17/0.39 spl0_10|spl0_1),
% 0.17/0.39 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.17/0.39 fof(f128,plain,(
% 0.17/0.39 spl0_10|spl0_2),
% 0.17/0.39 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.17/0.39 fof(f129,plain,(
% 0.17/0.39 spl0_10|spl0_3),
% 0.17/0.39 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.17/0.39 fof(f130,plain,(
% 0.17/0.39 spl0_10|spl0_4),
% 0.17/0.39 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.17/0.39 fof(f133,plain,(
% 0.17/0.39 spl0_11 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f134,plain,(
% 0.17/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_11)),
% 0.17/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.17/0.39 fof(f136,plain,(
% 0.17/0.39 spl0_12 <=> ~inverse(X1)=sk_c8|~multiply(X1,sk_c7)=sk_c8),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f137,plain,(
% 0.17/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_12)),
% 0.17/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.17/0.39 fof(f139,plain,(
% 0.17/0.39 spl0_13 <=> ~multiply(X3,X4)=sk_c7|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c7),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f140,plain,(
% 0.17/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c7|~spl0_13)),
% 0.17/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.17/0.39 fof(f142,plain,(
% 0.17/0.39 spl0_11|~spl0_8|spl0_12|~spl0_1|spl0_13),
% 0.17/0.39 inference(split_clause,[status(thm)],[f69,f133,f106,f136,f73,f139])).
% 0.17/0.39 fof(f143,plain,(
% 0.17/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~spl0_13)),
% 0.17/0.39 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 0.17/0.39 fof(f148,plain,(
% 0.17/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.17/0.39 fof(f149,plain,(
% 0.17/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f35,f148])).
% 0.17/0.39 fof(f150,plain,(
% 0.17/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f149,f149])).
% 0.17/0.39 fof(f151,plain,(
% 0.17/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f36,f149])).
% 0.17/0.39 fof(f153,plain,(
% 0.17/0.39 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f37,f149])).
% 0.17/0.39 fof(f161,plain,(
% 0.17/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f36,f150])).
% 0.17/0.39 fof(f170,plain,(
% 0.17/0.39 inverse(identity)=identity),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f35,f161])).
% 0.17/0.39 fof(f189,plain,(
% 0.17/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f150,f151])).
% 0.17/0.39 fof(f190,plain,(
% 0.17/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f150,f189])).
% 0.17/0.39 fof(f191,plain,(
% 0.17/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f189,f190])).
% 0.17/0.39 fof(f242,plain,(
% 0.17/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f161,f153])).
% 0.17/0.39 fof(f243,plain,(
% 0.17/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f189,f242])).
% 0.17/0.39 fof(f338,plain,(
% 0.17/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f243,f243])).
% 0.17/0.39 fof(f339,plain,(
% 0.17/0.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f191,f338])).
% 0.17/0.39 fof(f616,plain,(
% 0.17/0.39 inverse(sk_c8)=sk_c2|~spl0_9),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f116,f191])).
% 0.17/0.39 fof(f617,plain,(
% 0.17/0.39 multiply(sk_c2,sk_c8)=identity|~spl0_9),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f116,f161])).
% 0.17/0.39 fof(f621,plain,(
% 0.17/0.39 inverse(sk_c8)=sk_c1|~spl0_7),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f98,f191])).
% 0.17/0.39 fof(f626,plain,(
% 0.17/0.39 inverse(sk_c5)=sk_c4|~spl0_5),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f90,f191])).
% 0.17/0.39 fof(f627,plain,(
% 0.17/0.39 multiply(sk_c4,sk_c5)=identity|~spl0_5),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f90,f161])).
% 0.17/0.39 fof(f631,plain,(
% 0.17/0.39 inverse(sk_c8)=sk_c3|~spl0_2),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f78,f191])).
% 0.17/0.39 fof(f642,plain,(
% 0.17/0.39 inverse(sk_c2)=multiply(sk_c7,inverse(sk_c8))|~spl0_10),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f125,f339])).
% 0.17/0.39 fof(f643,plain,(
% 0.17/0.39 sk_c8=multiply(sk_c7,inverse(sk_c8))|~spl0_9|~spl0_10),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f116,f642])).
% 0.17/0.39 fof(f644,plain,(
% 0.17/0.39 sk_c8=multiply(sk_c7,sk_c2)|~spl0_9|~spl0_10),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f616,f643])).
% 0.17/0.39 fof(f653,plain,(
% 0.17/0.39 sk_c2=sk_c1|~spl0_9|~spl0_7),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f616,f621])).
% 0.17/0.39 fof(f661,plain,(
% 0.17/0.39 multiply(sk_c4,sk_c5)=identity|~spl0_5),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f626,f36])).
% 0.17/0.39 fof(f694,plain,(
% 0.17/0.39 sk_c8=multiply(inverse(sk_c5),sk_c7)|~spl0_6),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f94,f149])).
% 0.17/0.39 fof(f695,plain,(
% 0.17/0.39 sk_c8=multiply(sk_c4,sk_c7)|~spl0_5|~spl0_6),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f626,f694])).
% 0.17/0.39 fof(f733,plain,(
% 0.17/0.39 ![X0]: (~identity=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~spl0_13)),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f161,f143])).
% 0.17/0.39 fof(f734,plain,(
% 0.17/0.39 spl0_14 <=> identity=sk_c7),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f736,plain,(
% 0.17/0.39 ~identity=sk_c7|spl0_14),
% 0.17/0.39 inference(component_clause,[status(thm)],[f734])).
% 0.17/0.39 fof(f737,plain,(
% 0.17/0.39 spl0_15 <=> ~inverse(X0)=sk_c7),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f738,plain,(
% 0.17/0.39 ![X0]: (~inverse(X0)=sk_c7|~spl0_15)),
% 0.17/0.39 inference(component_clause,[status(thm)],[f737])).
% 0.17/0.39 fof(f742,plain,(
% 0.17/0.39 ~identity=sk_c7|~identity=sk_c7|~spl0_13),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f36,f733])).
% 0.17/0.39 fof(f743,plain,(
% 0.17/0.39 ~spl0_14|~spl0_13),
% 0.17/0.39 inference(split_clause,[status(thm)],[f742,f734,f139])).
% 0.17/0.39 fof(f769,plain,(
% 0.17/0.39 $false|~spl0_15),
% 0.17/0.39 inference(resolution,[status(thm)],[f738,f191])).
% 0.17/0.39 fof(f770,plain,(
% 0.17/0.39 ~spl0_15),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f769])).
% 0.17/0.39 fof(f771,plain,(
% 0.17/0.39 multiply(sk_c1,sk_c8)=identity|~spl0_7|~spl0_9),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f653,f617])).
% 0.17/0.39 fof(f772,plain,(
% 0.17/0.39 sk_c7=identity|~spl0_0|~spl0_7|~spl0_9),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f71,f771])).
% 0.17/0.39 fof(f773,plain,(
% 0.17/0.39 $false|spl0_14|~spl0_0|~spl0_7|~spl0_9),
% 0.17/0.39 inference(forward_subsumption_resolution,[status(thm)],[f772,f736])).
% 0.17/0.39 fof(f774,plain,(
% 0.17/0.39 spl0_14|~spl0_0|~spl0_7|~spl0_9),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f773])).
% 0.17/0.39 fof(f809,plain,(
% 0.17/0.39 sk_c7=identity|~spl0_4|~spl0_5),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f86,f627])).
% 0.17/0.39 fof(f810,plain,(
% 0.17/0.39 $false|spl0_14|~spl0_4|~spl0_5),
% 0.17/0.39 inference(forward_subsumption_resolution,[status(thm)],[f809,f736])).
% 0.17/0.39 fof(f811,plain,(
% 0.17/0.39 spl0_14|~spl0_4|~spl0_5),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f810])).
% 0.17/0.39 fof(f836,plain,(
% 0.17/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,identity)=sk_c8|~spl0_4|~spl0_5|~spl0_12)),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f809,f137])).
% 0.17/0.39 fof(f837,plain,(
% 0.17/0.39 ![X0]: (~inverse(X0)=sk_c8|~X0=sk_c8|~spl0_4|~spl0_5|~spl0_12)),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f189,f836])).
% 0.17/0.39 fof(f838,plain,(
% 0.17/0.39 ~inverse(sk_c8)=sk_c8|~spl0_4|~spl0_5|~spl0_12),
% 0.17/0.39 inference(destructive_equality_resolution,[status(esa)],[f837])).
% 0.17/0.39 fof(f840,plain,(
% 0.17/0.39 multiply(sk_c3,identity)=sk_c8|~spl0_4|~spl0_5|~spl0_3),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f809,f82])).
% 0.17/0.39 fof(f841,plain,(
% 0.17/0.39 sk_c3=sk_c8|~spl0_4|~spl0_5|~spl0_3),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f189,f840])).
% 0.17/0.39 fof(f844,plain,(
% 0.17/0.39 inverse(sk_c8)=sk_c8|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.17/0.39 inference(backward_demodulation,[status(thm)],[f841,f78])).
% 0.17/0.39 fof(f845,plain,(
% 0.17/0.39 $false|~spl0_12|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.17/0.39 inference(forward_subsumption_resolution,[status(thm)],[f844,f838])).
% 0.17/0.39 fof(f846,plain,(
% 0.17/0.39 ~spl0_12|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f845])).
% 0.17/0.39 fof(f847,plain,(
% 0.17/0.39 inverse(sk_c8)=sk_c8|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.17/0.39 inference(backward_demodulation,[status(thm)],[f841,f631])).
% 0.17/0.39 fof(f1667,plain,(
% 0.17/0.39 multiply(identity,sk_c8)=sk_c6|~spl0_4|~spl0_5|~spl0_1),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f809,f74])).
% 0.17/0.39 fof(f1668,plain,(
% 0.17/0.39 sk_c8=sk_c6|~spl0_4|~spl0_5|~spl0_1),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f35,f1667])).
% 0.17/0.39 fof(f1694,plain,(
% 0.17/0.39 sk_c8=multiply(sk_c4,identity)|~spl0_4|~spl0_5|~spl0_6),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f809,f695])).
% 0.17/0.39 fof(f1695,plain,(
% 0.17/0.39 sk_c8=sk_c4|~spl0_4|~spl0_5|~spl0_6),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f189,f1694])).
% 0.17/0.39 fof(f1699,plain,(
% 0.17/0.39 inverse(sk_c8)=sk_c5|~spl0_4|~spl0_6|~spl0_5),
% 0.17/0.39 inference(backward_demodulation,[status(thm)],[f1695,f90])).
% 0.17/0.39 fof(f1700,plain,(
% 0.17/0.39 sk_c8=sk_c5|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f847,f1699])).
% 0.17/0.39 fof(f1726,plain,(
% 0.17/0.39 spl0_20 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f1728,plain,(
% 0.17/0.39 ~inverse(inverse(sk_c8))=sk_c8|spl0_20),
% 0.17/0.39 inference(component_clause,[status(thm)],[f1726])).
% 0.17/0.39 fof(f1729,plain,(
% 0.17/0.39 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_11),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f36,f134])).
% 0.17/0.39 fof(f1730,plain,(
% 0.17/0.39 ~spl0_14|~spl0_20|~spl0_11),
% 0.17/0.39 inference(split_clause,[status(thm)],[f1729,f734,f1726,f133])).
% 0.17/0.39 fof(f1740,plain,(
% 0.17/0.39 ~sk_c8=sk_c8|spl0_20),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f191,f1728])).
% 0.17/0.39 fof(f1741,plain,(
% 0.17/0.39 $false|spl0_20),
% 0.17/0.39 inference(trivial_equality_resolution,[status(esa)],[f1740])).
% 0.17/0.39 fof(f1742,plain,(
% 0.17/0.39 spl0_20),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f1741])).
% 0.17/0.39 fof(f2529,plain,(
% 0.17/0.39 multiply(sk_c4,sk_c5)=identity|~spl0_0|~spl0_7|~spl0_9|~spl0_4),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f772,f86])).
% 0.17/0.39 fof(f2540,plain,(
% 0.17/0.39 inverse(sk_c4)=multiply(sk_c5,inverse(identity))|~spl0_0|~spl0_7|~spl0_9|~spl0_4),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f2529,f339])).
% 0.17/0.39 fof(f2541,plain,(
% 0.17/0.39 inverse(sk_c4)=multiply(sk_c5,identity)|~spl0_0|~spl0_7|~spl0_9|~spl0_4),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f170,f2540])).
% 0.17/0.39 fof(f2542,plain,(
% 0.17/0.39 inverse(sk_c4)=sk_c5|~spl0_0|~spl0_7|~spl0_9|~spl0_4),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f189,f2541])).
% 0.17/0.39 fof(f2543,plain,(
% 0.17/0.39 $false|spl0_5|~spl0_0|~spl0_7|~spl0_9|~spl0_4),
% 0.17/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2542,f91])).
% 0.17/0.39 fof(f2544,plain,(
% 0.17/0.39 spl0_5|~spl0_0|~spl0_7|~spl0_9|~spl0_4),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f2543])).
% 0.17/0.39 fof(f2585,plain,(
% 0.17/0.39 ~multiply(identity,sk_c8)=sk_c6|~spl0_0|~spl0_7|~spl0_9|spl0_1),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f772,f75])).
% 0.17/0.39 fof(f2586,plain,(
% 0.17/0.39 ~sk_c8=sk_c6|~spl0_0|~spl0_7|~spl0_9|spl0_1),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f35,f2585])).
% 0.17/0.39 fof(f2592,plain,(
% 0.17/0.39 sk_c8=multiply(identity,sk_c2)|~spl0_0|~spl0_7|~spl0_9|~spl0_10),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f772,f644])).
% 0.17/0.39 fof(f2593,plain,(
% 0.17/0.39 sk_c8=sk_c2|~spl0_0|~spl0_7|~spl0_9|~spl0_10),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f35,f2592])).
% 0.17/0.39 fof(f2594,plain,(
% 0.17/0.39 sk_c8=sk_c1|~spl0_0|~spl0_7|~spl0_9|~spl0_10),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f653,f2593])).
% 0.17/0.39 fof(f2597,plain,(
% 0.17/0.39 multiply(sk_c8,sk_c6)=identity|~spl0_0|~spl0_7|~spl0_9|~spl0_8),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f772,f107])).
% 0.17/0.39 fof(f2932,plain,(
% 0.17/0.39 ~sk_c1=sk_c6|~spl0_10|~spl0_0|~spl0_7|~spl0_9|spl0_1),
% 0.17/0.39 inference(backward_demodulation,[status(thm)],[f2594,f2586])).
% 0.17/0.39 fof(f2957,plain,(
% 0.17/0.39 inverse(sk_c1)=sk_c1|~spl0_0|~spl0_9|~spl0_10|~spl0_7),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f2594,f98])).
% 0.37/0.65 fof(f2998,plain,(
% 0.37/0.65 multiply(sk_c1,sk_c6)=identity|~spl0_10|~spl0_0|~spl0_7|~spl0_9|~spl0_8),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f2594,f2597])).
% 0.37/0.65 fof(f3010,plain,(
% 0.37/0.65 inverse(sk_c1)=multiply(sk_c6,inverse(identity))|~spl0_10|~spl0_0|~spl0_7|~spl0_9|~spl0_8),
% 0.37/0.65 inference(paramodulation,[status(thm)],[f2998,f339])).
% 0.37/0.65 fof(f3011,plain,(
% 0.37/0.65 sk_c1=multiply(sk_c6,inverse(identity))|~spl0_10|~spl0_0|~spl0_7|~spl0_9|~spl0_8),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f2957,f3010])).
% 0.37/0.65 fof(f3012,plain,(
% 0.37/0.65 sk_c1=multiply(sk_c6,identity)|~spl0_10|~spl0_0|~spl0_7|~spl0_9|~spl0_8),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f170,f3011])).
% 0.37/0.65 fof(f3013,plain,(
% 0.37/0.65 sk_c1=sk_c6|~spl0_10|~spl0_0|~spl0_7|~spl0_9|~spl0_8),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f189,f3012])).
% 0.37/0.65 fof(f3014,plain,(
% 0.37/0.65 $false|spl0_1|~spl0_10|~spl0_0|~spl0_7|~spl0_9|~spl0_8),
% 0.37/0.65 inference(forward_subsumption_resolution,[status(thm)],[f3013,f2932])).
% 0.37/0.65 fof(f3015,plain,(
% 0.37/0.65 spl0_1|~spl0_10|~spl0_0|~spl0_7|~spl0_9|~spl0_8),
% 0.37/0.65 inference(contradiction_clause,[status(thm)],[f3014])).
% 0.37/0.65 fof(f3077,plain,(
% 0.37/0.65 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c7)=sk_c8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|~spl0_12)),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f2594,f137])).
% 0.37/0.65 fof(f3078,plain,(
% 0.37/0.65 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,identity)=sk_c8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|~spl0_12)),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f772,f3077])).
% 0.37/0.65 fof(f3079,plain,(
% 0.37/0.65 ![X0]: (~inverse(X0)=sk_c1|~X0=sk_c8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|~spl0_12)),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f189,f3078])).
% 0.37/0.65 fof(f3080,plain,(
% 0.37/0.65 ![X0]: (~inverse(X0)=sk_c1|~X0=sk_c1|~spl0_0|~spl0_7|~spl0_9|~spl0_10|~spl0_12)),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f2594,f3079])).
% 0.37/0.65 fof(f3081,plain,(
% 0.37/0.65 ~inverse(sk_c1)=sk_c1|~spl0_0|~spl0_7|~spl0_9|~spl0_10|~spl0_12),
% 0.37/0.65 inference(destructive_equality_resolution,[status(esa)],[f3080])).
% 0.37/0.65 fof(f3082,plain,(
% 0.37/0.65 $false|~spl0_0|~spl0_7|~spl0_9|~spl0_10|~spl0_12),
% 0.37/0.65 inference(forward_subsumption_resolution,[status(thm)],[f3081,f2957])).
% 0.37/0.65 fof(f3083,plain,(
% 0.37/0.65 ~spl0_0|~spl0_7|~spl0_9|~spl0_10|~spl0_12),
% 0.37/0.65 inference(contradiction_clause,[status(thm)],[f3082])).
% 0.37/0.65 fof(f3777,plain,(
% 0.37/0.65 ~multiply(sk_c8,sk_c8)=sk_c7|~spl0_4|~spl0_5|~spl0_1|spl0_8),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f1668,f108])).
% 0.37/0.65 fof(f3778,plain,(
% 0.37/0.65 ~multiply(sk_c8,sk_c8)=identity|~spl0_4|~spl0_5|~spl0_1|spl0_8),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f809,f3777])).
% 0.37/0.65 fof(f3783,plain,(
% 0.37/0.65 multiply(sk_c8,sk_c5)=identity|~spl0_4|~spl0_6|~spl0_5),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f1695,f661])).
% 0.37/0.65 fof(f3784,plain,(
% 0.37/0.65 multiply(sk_c8,sk_c8)=identity|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5),
% 0.37/0.65 inference(forward_demodulation,[status(thm)],[f1700,f3783])).
% 0.37/0.65 fof(f3785,plain,(
% 0.37/0.65 $false|~spl0_1|spl0_8|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5),
% 0.37/0.65 inference(forward_subsumption_resolution,[status(thm)],[f3784,f3778])).
% 0.37/0.65 fof(f3786,plain,(
% 0.37/0.65 ~spl0_1|spl0_8|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5),
% 0.37/0.65 inference(contradiction_clause,[status(thm)],[f3785])).
% 0.37/0.65 fof(f3787,plain,(
% 0.37/0.65 $false),
% 0.37/0.65 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f100,f101,f102,f103,f104,f109,f110,f111,f112,f114,f118,f119,f120,f121,f122,f127,f128,f129,f130,f142,f743,f770,f774,f811,f846,f1730,f1742,f2544,f3015,f3083,f3786])).
% 0.37/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.37/0.65 % Elapsed time: 0.106531 seconds
% 0.37/0.65 % CPU time: 0.146245 seconds
% 0.37/0.65 % Memory used: 19.907 MB
%------------------------------------------------------------------------------