TSTP Solution File: GRP303-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:11:16 EDT 2023
% Result : Unsatisfiable 0.16s 0.37s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:32:38 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.37 % Refutation found
% 0.16/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.37 fof(f1,axiom,(
% 0.16/0.37 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f2,axiom,(
% 0.16/0.37 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f3,axiom,(
% 0.16/0.37 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f4,negated_conjecture,(
% 0.16/0.37 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f5,negated_conjecture,(
% 0.16/0.37 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f6,negated_conjecture,(
% 0.16/0.37 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f7,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f8,negated_conjecture,(
% 0.16/0.38 multiply(sk_c6,sk_c7) = sk_c5 ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f9,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f10,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f11,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f12,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f13,negated_conjecture,(
% 0.16/0.38 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f14,negated_conjecture,(
% 0.16/0.38 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f15,negated_conjecture,(
% 0.16/0.38 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f16,negated_conjecture,(
% 0.16/0.38 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f17,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f18,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f19,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f20,negated_conjecture,(
% 0.16/0.38 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f21,negated_conjecture,(
% 0.16/0.38 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f22,negated_conjecture,(
% 0.16/0.38 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f23,negated_conjecture,(
% 0.16/0.38 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f24,negated_conjecture,(
% 0.16/0.38 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f25,negated_conjecture,(
% 0.16/0.38 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(sk_c6,sk_c7) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c7| inverse(X4) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f26,plain,(
% 0.16/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.38 fof(f27,plain,(
% 0.16/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.38 fof(f28,plain,(
% 0.16/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.38 fof(f29,plain,(
% 0.16/0.38 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.38 fof(f30,plain,(
% 0.16/0.38 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.38 fof(f31,plain,(
% 0.16/0.38 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.38 fof(f32,plain,(
% 0.16/0.38 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.38 fof(f33,plain,(
% 0.16/0.38 multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.16/0.38 fof(f34,plain,(
% 0.16/0.38 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.38 fof(f35,plain,(
% 0.16/0.38 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f10])).
% 0.16/0.38 fof(f36,plain,(
% 0.16/0.38 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.38 fof(f37,plain,(
% 0.16/0.38 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.38 fof(f38,plain,(
% 0.16/0.38 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.38 fof(f39,plain,(
% 0.16/0.38 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.38 fof(f40,plain,(
% 0.16/0.38 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f15])).
% 0.16/0.38 fof(f41,plain,(
% 0.16/0.38 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.38 fof(f42,plain,(
% 0.16/0.38 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.38 fof(f43,plain,(
% 0.16/0.38 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.38 fof(f44,plain,(
% 0.16/0.38 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.38 fof(f45,plain,(
% 0.16/0.38 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.38 fof(f46,plain,(
% 0.16/0.38 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.38 fof(f47,plain,(
% 0.16/0.38 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.38 fof(f48,plain,(
% 0.16/0.38 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.38 fof(f49,plain,(
% 0.16/0.38 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.38 fof(f50,plain,(
% 0.16/0.38 ![X2]: (((![X1]: (((![X4]: (((![X3]: (((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5)|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c7)|~inverse(X4)=sk_c6))|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f25])).
% 0.16/0.38 fof(f51,plain,(
% 0.16/0.38 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f50])).
% 0.16/0.38 fof(f52,plain,(
% 0.16/0.38 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c5),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f53,plain,(
% 0.16/0.38 multiply(sk_c7,sk_c6)=sk_c5|~spl0_0),
% 0.16/0.38 inference(component_clause,[status(thm)],[f52])).
% 0.16/0.38 fof(f54,plain,(
% 0.16/0.38 ~multiply(sk_c7,sk_c6)=sk_c5|spl0_0),
% 0.16/0.38 inference(component_clause,[status(thm)],[f52])).
% 0.16/0.38 fof(f55,plain,(
% 0.16/0.38 spl0_1 <=> inverse(sk_c3)=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f56,plain,(
% 0.16/0.38 inverse(sk_c3)=sk_c7|~spl0_1),
% 0.16/0.38 inference(component_clause,[status(thm)],[f55])).
% 0.16/0.38 fof(f58,plain,(
% 0.16/0.38 spl0_0|spl0_1),
% 0.16/0.38 inference(split_clause,[status(thm)],[f29,f52,f55])).
% 0.16/0.38 fof(f59,plain,(
% 0.16/0.38 spl0_2 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f60,plain,(
% 0.16/0.38 multiply(sk_c3,sk_c6)=sk_c7|~spl0_2),
% 0.16/0.38 inference(component_clause,[status(thm)],[f59])).
% 0.16/0.38 fof(f62,plain,(
% 0.16/0.38 spl0_0|spl0_2),
% 0.16/0.38 inference(split_clause,[status(thm)],[f30,f52,f59])).
% 0.16/0.38 fof(f63,plain,(
% 0.16/0.38 spl0_3 <=> inverse(sk_c4)=sk_c6),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f64,plain,(
% 0.16/0.38 inverse(sk_c4)=sk_c6|~spl0_3),
% 0.16/0.38 inference(component_clause,[status(thm)],[f63])).
% 0.16/0.38 fof(f66,plain,(
% 0.16/0.38 spl0_0|spl0_3),
% 0.16/0.38 inference(split_clause,[status(thm)],[f31,f52,f63])).
% 0.16/0.38 fof(f67,plain,(
% 0.16/0.38 spl0_4 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f68,plain,(
% 0.16/0.38 multiply(sk_c4,sk_c5)=sk_c6|~spl0_4),
% 0.16/0.38 inference(component_clause,[status(thm)],[f67])).
% 0.16/0.38 fof(f70,plain,(
% 0.16/0.38 spl0_0|spl0_4),
% 0.16/0.38 inference(split_clause,[status(thm)],[f32,f52,f67])).
% 0.16/0.38 fof(f71,plain,(
% 0.16/0.38 spl0_5 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f72,plain,(
% 0.16/0.38 multiply(sk_c1,sk_c7)=sk_c6|~spl0_5),
% 0.16/0.38 inference(component_clause,[status(thm)],[f71])).
% 0.16/0.38 fof(f74,plain,(
% 0.16/0.38 spl0_5|spl0_1),
% 0.16/0.38 inference(split_clause,[status(thm)],[f34,f71,f55])).
% 0.16/0.38 fof(f75,plain,(
% 0.16/0.38 spl0_5|spl0_2),
% 0.16/0.38 inference(split_clause,[status(thm)],[f35,f71,f59])).
% 0.16/0.38 fof(f76,plain,(
% 0.16/0.38 spl0_5|spl0_3),
% 0.16/0.38 inference(split_clause,[status(thm)],[f36,f71,f63])).
% 0.16/0.38 fof(f77,plain,(
% 0.16/0.38 spl0_5|spl0_4),
% 0.16/0.38 inference(split_clause,[status(thm)],[f37,f71,f67])).
% 0.16/0.38 fof(f78,plain,(
% 0.16/0.38 spl0_6 <=> inverse(sk_c1)=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f79,plain,(
% 0.16/0.38 inverse(sk_c1)=sk_c7|~spl0_6),
% 0.16/0.38 inference(component_clause,[status(thm)],[f78])).
% 0.16/0.38 fof(f81,plain,(
% 0.16/0.38 spl0_6|spl0_1),
% 0.16/0.38 inference(split_clause,[status(thm)],[f38,f78,f55])).
% 0.16/0.38 fof(f82,plain,(
% 0.16/0.38 spl0_6|spl0_2),
% 0.16/0.38 inference(split_clause,[status(thm)],[f39,f78,f59])).
% 0.16/0.38 fof(f83,plain,(
% 0.16/0.38 spl0_6|spl0_3),
% 0.16/0.38 inference(split_clause,[status(thm)],[f40,f78,f63])).
% 0.16/0.38 fof(f84,plain,(
% 0.16/0.38 spl0_6|spl0_4),
% 0.16/0.38 inference(split_clause,[status(thm)],[f41,f78,f67])).
% 0.16/0.38 fof(f85,plain,(
% 0.16/0.38 spl0_7 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f86,plain,(
% 0.16/0.38 multiply(sk_c2,sk_c6)=sk_c7|~spl0_7),
% 0.16/0.38 inference(component_clause,[status(thm)],[f85])).
% 0.16/0.38 fof(f88,plain,(
% 0.16/0.38 spl0_7|spl0_1),
% 0.16/0.38 inference(split_clause,[status(thm)],[f42,f85,f55])).
% 0.16/0.38 fof(f89,plain,(
% 0.16/0.38 spl0_7|spl0_2),
% 0.16/0.38 inference(split_clause,[status(thm)],[f43,f85,f59])).
% 0.16/0.38 fof(f90,plain,(
% 0.16/0.38 spl0_7|spl0_3),
% 0.16/0.38 inference(split_clause,[status(thm)],[f44,f85,f63])).
% 0.16/0.38 fof(f91,plain,(
% 0.16/0.38 spl0_7|spl0_4),
% 0.16/0.38 inference(split_clause,[status(thm)],[f45,f85,f67])).
% 0.16/0.38 fof(f92,plain,(
% 0.16/0.38 spl0_8 <=> inverse(sk_c2)=sk_c6),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f93,plain,(
% 0.16/0.38 inverse(sk_c2)=sk_c6|~spl0_8),
% 0.16/0.38 inference(component_clause,[status(thm)],[f92])).
% 0.16/0.38 fof(f95,plain,(
% 0.16/0.38 spl0_8|spl0_1),
% 0.16/0.38 inference(split_clause,[status(thm)],[f46,f92,f55])).
% 0.16/0.38 fof(f96,plain,(
% 0.16/0.38 spl0_8|spl0_2),
% 0.16/0.38 inference(split_clause,[status(thm)],[f47,f92,f59])).
% 0.16/0.38 fof(f97,plain,(
% 0.16/0.38 spl0_8|spl0_3),
% 0.16/0.38 inference(split_clause,[status(thm)],[f48,f92,f63])).
% 0.16/0.38 fof(f98,plain,(
% 0.16/0.38 spl0_8|spl0_4),
% 0.16/0.38 inference(split_clause,[status(thm)],[f49,f92,f67])).
% 0.16/0.38 fof(f99,plain,(
% 0.16/0.38 spl0_9 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f101,plain,(
% 0.16/0.38 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_9),
% 0.16/0.38 inference(component_clause,[status(thm)],[f99])).
% 0.16/0.38 fof(f102,plain,(
% 0.16/0.38 spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f103,plain,(
% 0.16/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.16/0.38 inference(component_clause,[status(thm)],[f102])).
% 0.16/0.38 fof(f105,plain,(
% 0.16/0.38 spl0_11 <=> ~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f106,plain,(
% 0.16/0.38 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_11)),
% 0.16/0.38 inference(component_clause,[status(thm)],[f105])).
% 0.16/0.38 fof(f108,plain,(
% 0.16/0.38 spl0_12 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f109,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 0.16/0.38 inference(component_clause,[status(thm)],[f108])).
% 0.16/0.38 fof(f111,plain,(
% 0.16/0.38 spl0_13 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f112,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_13)),
% 0.16/0.38 inference(component_clause,[status(thm)],[f111])).
% 0.16/0.38 fof(f114,plain,(
% 0.16/0.38 ~spl0_0|~spl0_9|spl0_10|spl0_11|spl0_12|spl0_13),
% 0.16/0.38 inference(split_clause,[status(thm)],[f51,f52,f99,f102,f105,f108,f111])).
% 0.16/0.38 fof(f118,plain,(
% 0.16/0.38 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0)))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f33,f28])).
% 0.16/0.38 fof(f123,plain,(
% 0.16/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.16/0.38 fof(f124,plain,(
% 0.16/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f26,f123])).
% 0.16/0.38 fof(f125,plain,(
% 0.16/0.38 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f124,f124])).
% 0.16/0.38 fof(f126,plain,(
% 0.16/0.38 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f27,f124])).
% 0.16/0.38 fof(f127,plain,(
% 0.16/0.38 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f26,f124])).
% 0.16/0.38 fof(f128,plain,(
% 0.16/0.38 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f28,f124])).
% 0.16/0.38 fof(f129,plain,(
% 0.16/0.38 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c6),multiply(sk_c5,X0)))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f118,f124])).
% 0.16/0.38 fof(f130,plain,(
% 0.16/0.38 sk_c7=multiply(inverse(sk_c6),sk_c5)),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f33,f124])).
% 0.16/0.38 fof(f135,plain,(
% 0.16/0.38 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f127,f124])).
% 0.16/0.38 fof(f143,plain,(
% 0.16/0.38 inverse(identity)=identity),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f27,f135])).
% 0.16/0.38 fof(f155,plain,(
% 0.16/0.38 ![X0]: (X0=multiply(X0,identity))),
% 0.16/0.38 inference(backward_demodulation,[status(thm)],[f125,f126])).
% 0.16/0.38 fof(f157,plain,(
% 0.16/0.38 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f27,f125])).
% 0.16/0.38 fof(f167,plain,(
% 0.16/0.38 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f125,f155])).
% 0.16/0.38 fof(f168,plain,(
% 0.16/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f167])).
% 0.16/0.38 fof(f208,plain,(
% 0.16/0.38 ![X0,X1]: (X0=multiply(inverse(multiply(inverse(multiply(X1,X0)),X1)),identity))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f27,f128])).
% 0.16/0.38 fof(f209,plain,(
% 0.16/0.38 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),X1)))),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f208])).
% 0.16/0.38 fof(f219,plain,(
% 0.16/0.38 ![X0,X1]: (X0=multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,identity)))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f27,f128])).
% 0.16/0.38 fof(f220,plain,(
% 0.16/0.38 ![X0,X1]: (X0=multiply(inverse(multiply(X1,inverse(X0))),X1))),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f219])).
% 0.16/0.38 fof(f249,plain,(
% 0.16/0.38 multiply(sk_c7,inverse(sk_c5))=multiply(inverse(sk_c6),identity)),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f157,f129])).
% 0.16/0.38 fof(f250,plain,(
% 0.16/0.38 multiply(sk_c7,inverse(sk_c5))=inverse(sk_c6)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f249])).
% 0.16/0.38 fof(f255,plain,(
% 0.16/0.38 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f157,f128])).
% 0.16/0.38 fof(f256,plain,(
% 0.16/0.38 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f255])).
% 0.16/0.38 fof(f304,plain,(
% 0.16/0.38 ![X0,X1]: (X0=inverse(multiply(X1,inverse(multiply(X0,X1)))))),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f209,f209])).
% 0.16/0.38 fof(f513,plain,(
% 0.16/0.38 inverse(sk_c6)=sk_c4|~spl0_3),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f64,f168])).
% 0.16/0.38 fof(f518,plain,(
% 0.16/0.38 multiply(sk_c3,sk_c7)=identity|~spl0_1),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f56,f157])).
% 0.16/0.38 fof(f519,plain,(
% 0.16/0.38 inverse(sk_c7)=sk_c3|~spl0_1),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f56,f168])).
% 0.16/0.38 fof(f523,plain,(
% 0.16/0.38 sk_c7=multiply(sk_c4,sk_c5)|~spl0_3),
% 0.16/0.38 inference(backward_demodulation,[status(thm)],[f513,f130])).
% 0.16/0.38 fof(f537,plain,(
% 0.16/0.38 ~sk_c5=sk_c5|spl0_9),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f33,f101])).
% 0.16/0.38 fof(f538,plain,(
% 0.16/0.38 $false|spl0_9),
% 0.16/0.38 inference(trivial_equality_resolution,[status(esa)],[f537])).
% 0.16/0.38 fof(f539,plain,(
% 0.16/0.38 spl0_9),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f538])).
% 0.16/0.38 fof(f552,plain,(
% 0.16/0.38 multiply(sk_c2,sk_c6)=identity|~spl0_8),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f93,f157])).
% 0.16/0.38 fof(f558,plain,(
% 0.16/0.38 ![X0]: (sk_c1=multiply(inverse(multiply(X0,sk_c7)),X0)|~spl0_6)),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f79,f220])).
% 0.16/0.38 fof(f561,plain,(
% 0.16/0.38 inverse(sk_c7)=sk_c1|~spl0_6),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f79,f168])).
% 0.16/0.38 fof(f562,plain,(
% 0.16/0.38 sk_c3=sk_c1|~spl0_1|~spl0_6),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f519,f561])).
% 0.16/0.38 fof(f646,plain,(
% 0.16/0.38 sk_c7=sk_c6|~spl0_4|~spl0_3),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f68,f523])).
% 0.16/0.38 fof(f649,plain,(
% 0.16/0.38 multiply(sk_c3,sk_c7)=sk_c7|~spl0_4|~spl0_3|~spl0_2),
% 0.16/0.38 inference(backward_demodulation,[status(thm)],[f646,f60])).
% 0.16/0.38 fof(f650,plain,(
% 0.16/0.38 identity=sk_c7|~spl0_1|~spl0_4|~spl0_3|~spl0_2),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f518,f649])).
% 0.16/0.38 fof(f650,plain,(
% 0.16/0.38 identity=sk_c7|~spl0_1|~spl0_4|~spl0_3|~spl0_2),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f518,f649])).
% 0.16/0.38 fof(f656,plain,(
% 0.16/0.38 multiply(sk_c7,sk_c7)=sk_c5|~spl0_4|~spl0_3),
% 0.16/0.38 inference(backward_demodulation,[status(thm)],[f646,f33])).
% 0.16/0.38 fof(f668,plain,(
% 0.16/0.38 multiply(sk_c3,sk_c7)=sk_c6|~spl0_1|~spl0_6|~spl0_5),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f562,f72])).
% 0.16/0.38 fof(f669,plain,(
% 0.16/0.38 identity=sk_c6|~spl0_1|~spl0_6|~spl0_5),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f518,f668])).
% 0.16/0.38 fof(f670,plain,(
% 0.16/0.38 identity=sk_c7|~spl0_4|~spl0_3|~spl0_1|~spl0_6|~spl0_5),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f646,f669])).
% 0.16/0.38 fof(f674,plain,(
% 0.16/0.38 identity=sk_c6|~spl0_1|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.16/0.38 inference(backward_demodulation,[status(thm)],[f670,f646])).
% 0.16/0.38 fof(f704,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_4|~spl0_3|~spl0_1|~spl0_6|~spl0_5|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f670,f109])).
% 0.16/0.38 fof(f705,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_4|~spl0_3|~spl0_1|~spl0_6|~spl0_5|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f674,f704])).
% 0.16/0.38 fof(f706,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_4|~spl0_3|~spl0_1|~spl0_6|~spl0_5|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f705])).
% 0.16/0.38 fof(f707,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_4|~spl0_3|~spl0_1|~spl0_6|~spl0_5|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f670,f706])).
% 0.16/0.38 fof(f708,plain,(
% 0.16/0.38 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_1|~spl0_6|~spl0_5|~spl0_12),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f707])).
% 0.16/0.38 fof(f709,plain,(
% 0.16/0.38 $false|~spl0_4|~spl0_3|~spl0_1|~spl0_6|~spl0_5|~spl0_12),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f708,f143])).
% 0.16/0.38 fof(f710,plain,(
% 0.16/0.38 ~spl0_4|~spl0_3|~spl0_1|~spl0_6|~spl0_5|~spl0_12),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f709])).
% 0.16/0.38 fof(f890,plain,(
% 0.16/0.38 sk_c7=inverse(multiply(sk_c7,inverse(sk_c5)))|~spl0_4|~spl0_3),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f656,f304])).
% 0.16/0.38 fof(f891,plain,(
% 0.16/0.38 sk_c7=inverse(inverse(sk_c6))|~spl0_4|~spl0_3),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f250,f890])).
% 0.16/0.38 fof(f892,plain,(
% 0.16/0.38 sk_c7=sk_c6|~spl0_4|~spl0_3),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f168,f891])).
% 0.16/0.38 fof(f1642,plain,(
% 0.16/0.38 multiply(sk_c7,identity)=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.16/0.38 inference(backward_demodulation,[status(thm)],[f650,f656])).
% 0.16/0.38 fof(f1643,plain,(
% 0.16/0.38 sk_c7=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f1642])).
% 0.16/0.38 fof(f1644,plain,(
% 0.16/0.38 identity=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f650,f1643])).
% 0.16/0.38 fof(f1645,plain,(
% 0.16/0.38 identity=sk_c6|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f650,f646])).
% 0.16/0.38 fof(f1647,plain,(
% 0.16/0.38 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c6|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_11)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1645,f106])).
% 0.16/0.38 fof(f1648,plain,(
% 0.16/0.38 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c6|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_11)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f1647])).
% 0.16/0.38 fof(f1649,plain,(
% 0.16/0.38 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_11)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f650,f1648])).
% 0.16/0.38 fof(f1650,plain,(
% 0.16/0.38 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_11)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1645,f1649])).
% 0.16/0.38 fof(f1651,plain,(
% 0.16/0.38 ~inverse(identity)=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_11),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f1650])).
% 0.16/0.38 fof(f1652,plain,(
% 0.16/0.38 $false|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_11),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1651,f143])).
% 0.16/0.38 fof(f1653,plain,(
% 0.16/0.38 ~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_11),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f1652])).
% 0.16/0.38 fof(f1654,plain,(
% 0.16/0.38 sk_c1=inverse(sk_c7)|~spl0_6),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f256,f558])).
% 0.16/0.38 fof(f1680,plain,(
% 0.16/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~spl0_4|~spl0_3|~spl0_10)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f892,f103])).
% 0.16/0.38 fof(f1685,plain,(
% 0.16/0.38 spl0_14 <=> identity=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f1688,plain,(
% 0.16/0.38 spl0_15 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f1690,plain,(
% 0.16/0.38 ~inverse(inverse(sk_c7))=sk_c7|spl0_15),
% 0.16/0.38 inference(component_clause,[status(thm)],[f1688])).
% 0.16/0.38 fof(f1691,plain,(
% 0.16/0.38 ~identity=sk_c7|~inverse(inverse(sk_c7))=sk_c7|~spl0_4|~spl0_3|~spl0_10),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f27,f1680])).
% 0.16/0.38 fof(f1692,plain,(
% 0.16/0.38 ~spl0_14|~spl0_15|~spl0_4|~spl0_3|~spl0_10),
% 0.16/0.38 inference(split_clause,[status(thm)],[f1691,f1685,f1688,f67,f63,f102])).
% 0.16/0.38 fof(f1693,plain,(
% 0.16/0.38 spl0_16 <=> sk_c7=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f1695,plain,(
% 0.16/0.38 ~sk_c7=sk_c7|spl0_16),
% 0.16/0.38 inference(component_clause,[status(thm)],[f1693])).
% 0.16/0.38 fof(f1696,plain,(
% 0.16/0.38 spl0_17 <=> inverse(identity)=sk_c7),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f1697,plain,(
% 0.16/0.38 inverse(identity)=sk_c7|~spl0_17),
% 0.16/0.38 inference(component_clause,[status(thm)],[f1696])).
% 0.16/0.38 fof(f1698,plain,(
% 0.16/0.38 ~inverse(identity)=sk_c7|spl0_17),
% 0.16/0.38 inference(component_clause,[status(thm)],[f1696])).
% 0.16/0.38 fof(f1702,plain,(
% 0.16/0.38 ~identity=sk_c7|spl0_17),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f143,f1698])).
% 0.16/0.38 fof(f1703,plain,(
% 0.16/0.38 $false|spl0_16),
% 0.16/0.38 inference(trivial_equality_resolution,[status(esa)],[f1695])).
% 0.16/0.38 fof(f1704,plain,(
% 0.16/0.38 spl0_16),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f1703])).
% 0.16/0.38 fof(f1705,plain,(
% 0.16/0.38 ~sk_c7=sk_c7|spl0_15),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f168,f1690])).
% 0.16/0.38 fof(f1706,plain,(
% 0.16/0.38 $false|spl0_15),
% 0.16/0.38 inference(trivial_equality_resolution,[status(esa)],[f1705])).
% 0.16/0.38 fof(f1707,plain,(
% 0.16/0.38 spl0_15),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f1706])).
% 0.16/0.38 fof(f2317,plain,(
% 0.16/0.38 identity=sk_c7|~spl0_17),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f143,f1697])).
% 0.16/0.38 fof(f2395,plain,(
% 0.16/0.38 sk_c1=inverse(identity)|~spl0_17|~spl0_6),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2317,f1654])).
% 0.16/0.38 fof(f2396,plain,(
% 0.16/0.38 sk_c1=identity|~spl0_17|~spl0_6),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f143,f2395])).
% 0.16/0.38 fof(f2413,plain,(
% 0.16/0.38 ![X0]: (~multiply(X0,sk_c6)=identity|~inverse(X0)=sk_c6|~spl0_17|~spl0_11)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2317,f106])).
% 0.16/0.38 fof(f2447,plain,(
% 0.16/0.38 sk_c7=identity|~spl0_7|~spl0_8),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f86,f552])).
% 0.16/0.38 fof(f2448,plain,(
% 0.16/0.38 $false|spl0_17|~spl0_7|~spl0_8),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f2447,f1702])).
% 0.16/0.38 fof(f2449,plain,(
% 0.16/0.38 spl0_17|~spl0_7|~spl0_8),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f2448])).
% 0.16/0.38 fof(f2456,plain,(
% 0.16/0.38 multiply(identity,sk_c7)=sk_c6|~spl0_17|~spl0_6|~spl0_5),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2396,f72])).
% 0.16/0.38 fof(f2457,plain,(
% 0.16/0.38 sk_c7=sk_c6|~spl0_17|~spl0_6|~spl0_5),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f26,f2456])).
% 0.16/0.38 fof(f2458,plain,(
% 0.16/0.38 identity=sk_c6|~spl0_7|~spl0_8|~spl0_17|~spl0_6|~spl0_5),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2447,f2457])).
% 0.16/0.38 fof(f2463,plain,(
% 0.16/0.38 multiply(identity,sk_c6)=sk_c5|~spl0_7|~spl0_8|~spl0_0),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2447,f53])).
% 0.16/0.38 fof(f2464,plain,(
% 0.16/0.38 sk_c6=sk_c5|~spl0_7|~spl0_8|~spl0_0),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f26,f2463])).
% 0.16/0.38 fof(f2465,plain,(
% 0.16/0.38 identity=sk_c5|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2458,f2464])).
% 0.16/0.38 fof(f2466,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_7|~spl0_8|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2447,f109])).
% 0.16/0.38 fof(f2467,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2458,f2466])).
% 0.16/0.38 fof(f2468,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f2467])).
% 0.16/0.38 fof(f2469,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2447,f2468])).
% 0.16/0.38 fof(f2470,plain,(
% 0.16/0.38 ~inverse(identity)=identity|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_12),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f2469])).
% 0.16/0.38 fof(f2471,plain,(
% 0.16/0.38 $false|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_12),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f2470,f143])).
% 0.16/0.38 fof(f2472,plain,(
% 0.16/0.38 ~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_12),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f2471])).
% 0.16/0.38 fof(f2708,plain,(
% 0.16/0.38 spl0_14|~spl0_1|~spl0_4|~spl0_3|~spl0_2),
% 0.16/0.38 inference(split_clause,[status(thm)],[f650,f1685,f55,f67,f63,f59])).
% 0.16/0.38 fof(f2712,plain,(
% 0.16/0.38 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_1|~spl0_6|~spl0_5|~spl0_10)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f669,f103])).
% 0.16/0.38 fof(f2713,plain,(
% 0.16/0.38 ~inverse(inverse(sk_c7))=sk_c7|~spl0_1|~spl0_6|~spl0_5|~spl0_10),
% 0.16/0.38 inference(resolution,[status(thm)],[f2712,f27])).
% 0.16/0.38 fof(f2714,plain,(
% 0.16/0.38 ~spl0_15|~spl0_1|~spl0_6|~spl0_5|~spl0_10),
% 0.16/0.38 inference(split_clause,[status(thm)],[f2713,f1688,f55,f78,f71,f102])).
% 0.16/0.38 fof(f2717,plain,(
% 0.16/0.38 spl0_18 <=> identity=identity),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f2719,plain,(
% 0.16/0.38 ~identity=identity|spl0_18),
% 0.16/0.38 inference(component_clause,[status(thm)],[f2717])).
% 0.16/0.38 fof(f2725,plain,(
% 0.16/0.38 $false|spl0_18),
% 0.16/0.38 inference(trivial_equality_resolution,[status(esa)],[f2719])).
% 0.16/0.38 fof(f2726,plain,(
% 0.16/0.38 spl0_18),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f2725])).
% 0.16/0.38 fof(f3610,plain,(
% 0.16/0.38 sk_c7=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1645,f892])).
% 0.16/0.38 fof(f3860,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_13)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1645,f112])).
% 0.16/0.38 fof(f3861,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_13)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1644,f3860])).
% 0.16/0.38 fof(f3862,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=sk_c6|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_13)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f3861])).
% 0.16/0.38 fof(f3863,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_13)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1645,f3862])).
% 0.16/0.38 fof(f3864,plain,(
% 0.16/0.38 ~inverse(identity)=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_13),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f3863])).
% 0.16/0.38 fof(f3865,plain,(
% 0.16/0.38 $false|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_13),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f3864,f143])).
% 0.16/0.38 fof(f3866,plain,(
% 0.16/0.38 ~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_13),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f3865])).
% 0.16/0.38 fof(f3867,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f3610,f109])).
% 0.16/0.38 fof(f3868,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1645,f3867])).
% 0.16/0.38 fof(f3869,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f3868])).
% 0.16/0.38 fof(f3870,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_12)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f3610,f3869])).
% 0.16/0.38 fof(f3871,plain,(
% 0.16/0.38 ~inverse(identity)=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_12),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f3870])).
% 0.16/0.38 fof(f3872,plain,(
% 0.16/0.38 $false|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_12),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f3871,f143])).
% 0.16/0.38 fof(f3873,plain,(
% 0.16/0.38 ~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_12),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f3872])).
% 0.16/0.38 fof(f3874,plain,(
% 0.16/0.38 ~multiply(identity,sk_c6)=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3|spl0_0),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f3610,f54])).
% 0.16/0.38 fof(f3875,plain,(
% 0.16/0.38 ~sk_c6=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3|spl0_0),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f26,f3874])).
% 0.16/0.38 fof(f3876,plain,(
% 0.16/0.38 ~identity=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3|spl0_0),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1645,f3875])).
% 0.16/0.38 fof(f3877,plain,(
% 0.16/0.38 ~identity=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|spl0_0),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f1644,f3876])).
% 0.16/0.38 fof(f3878,plain,(
% 0.16/0.38 $false|~spl0_1|~spl0_2|~spl0_4|~spl0_3|spl0_0),
% 0.16/0.38 inference(trivial_equality_resolution,[status(esa)],[f3877])).
% 0.16/0.38 fof(f3879,plain,(
% 0.16/0.38 ~spl0_1|~spl0_2|~spl0_4|~spl0_3|spl0_0),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f3878])).
% 0.16/0.38 fof(f3880,plain,(
% 0.16/0.38 sk_c6=identity|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2465,f2464])).
% 0.16/0.38 fof(f3887,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_13)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f3880,f112])).
% 0.16/0.38 fof(f3888,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_13)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f2465,f3887])).
% 0.16/0.38 fof(f3889,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=sk_c6|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_13)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f155,f3888])).
% 0.16/0.38 fof(f3890,plain,(
% 0.16/0.38 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_13)),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f3880,f3889])).
% 0.16/0.38 fof(f3891,plain,(
% 0.16/0.38 ~inverse(identity)=identity|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_13),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f3890])).
% 0.16/0.38 fof(f3892,plain,(
% 0.16/0.38 $false|~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_13),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f3891,f143])).
% 0.16/0.38 fof(f3893,plain,(
% 0.16/0.38 ~spl0_17|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_13),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f3892])).
% 0.16/0.38 fof(f3894,plain,(
% 0.16/0.38 ~inverse(inverse(sk_c6))=sk_c6|~spl0_17|~spl0_11),
% 0.16/0.38 inference(resolution,[status(thm)],[f2413,f27])).
% 0.16/0.38 fof(f3895,plain,(
% 0.16/0.38 ~sk_c6=sk_c6|~spl0_17|~spl0_11),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f168,f3894])).
% 0.16/0.38 fof(f3896,plain,(
% 0.16/0.38 ~identity=sk_c6|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_17|~spl0_11),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f3880,f3895])).
% 0.16/0.38 fof(f3897,plain,(
% 0.16/0.38 ~identity=identity|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_17|~spl0_11),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f3880,f3896])).
% 0.16/0.38 fof(f3898,plain,(
% 0.16/0.38 $false|~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_17|~spl0_11),
% 0.16/0.38 inference(trivial_equality_resolution,[status(esa)],[f3897])).
% 0.32/0.60 fof(f3899,plain,(
% 0.32/0.60 ~spl0_6|~spl0_5|~spl0_7|~spl0_8|~spl0_0|~spl0_17|~spl0_11),
% 0.32/0.60 inference(contradiction_clause,[status(thm)],[f3898])).
% 0.32/0.60 fof(f3900,plain,(
% 0.32/0.60 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c7|~spl0_7|~spl0_8|~spl0_10)),
% 0.32/0.60 inference(forward_demodulation,[status(thm)],[f2447,f103])).
% 0.32/0.60 fof(f3901,plain,(
% 0.32/0.60 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c7|~spl0_7|~spl0_8|~spl0_10)),
% 0.32/0.60 inference(forward_demodulation,[status(thm)],[f155,f3900])).
% 0.32/0.60 fof(f3902,plain,(
% 0.32/0.60 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_17|~spl0_6|~spl0_5|~spl0_0|~spl0_7|~spl0_8|~spl0_10)),
% 0.32/0.60 inference(forward_demodulation,[status(thm)],[f3880,f3901])).
% 0.32/0.60 fof(f3903,plain,(
% 0.32/0.60 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_17|~spl0_6|~spl0_5|~spl0_0|~spl0_7|~spl0_8|~spl0_10)),
% 0.32/0.60 inference(forward_demodulation,[status(thm)],[f2447,f3902])).
% 0.32/0.60 fof(f3904,plain,(
% 0.32/0.60 ~inverse(identity)=identity|~spl0_17|~spl0_6|~spl0_5|~spl0_0|~spl0_7|~spl0_8|~spl0_10),
% 0.32/0.60 inference(destructive_equality_resolution,[status(esa)],[f3903])).
% 0.32/0.61 fof(f3905,plain,(
% 0.32/0.61 $false|~spl0_17|~spl0_6|~spl0_5|~spl0_0|~spl0_7|~spl0_8|~spl0_10),
% 0.32/0.61 inference(forward_subsumption_resolution,[status(thm)],[f3904,f143])).
% 0.32/0.61 fof(f3906,plain,(
% 0.32/0.61 ~spl0_17|~spl0_6|~spl0_5|~spl0_0|~spl0_7|~spl0_8|~spl0_10),
% 0.32/0.61 inference(contradiction_clause,[status(thm)],[f3905])).
% 0.32/0.61 fof(f3907,plain,(
% 0.32/0.61 $false),
% 0.32/0.61 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f75,f76,f77,f81,f82,f83,f84,f88,f89,f90,f91,f95,f96,f97,f98,f114,f539,f710,f1653,f1692,f1704,f1707,f2449,f2472,f2708,f2714,f2726,f3866,f3873,f3879,f3893,f3899,f3906])).
% 0.32/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.32/0.61 % Elapsed time: 0.076737 seconds
% 0.32/0.61 % CPU time: 0.233641 seconds
% 0.32/0.61 % Memory used: 33.019 MB
%------------------------------------------------------------------------------