TSTP Solution File: GRP344-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:11:24 EDT 2023
% Result : Unsatisfiable 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:15:52 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f2,axiom,(
% 0.15/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f3,axiom,(
% 0.15/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f4,negated_conjecture,(
% 0.15/0.40 multiply(sk_c6,sk_c7) = sk_c5 ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f5,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f6,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f7,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f8,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f9,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f10,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f11,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f12,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f13,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f14,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f15,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f16,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f17,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f18,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f19,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f20,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f21,negated_conjecture,(
% 0.15/0.40 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| inverse(X3) != sk_c7| multiply(X3,sk_c6) != sk_c7| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| inverse(X2) != sk_c5| multiply(X2,sk_c6) != sk_c5 ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f22,plain,(
% 0.15/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.40 fof(f23,plain,(
% 0.15/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.40 fof(f24,plain,(
% 0.15/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.40 fof(f25,plain,(
% 0.15/0.40 multiply(sk_c6,sk_c7)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.40 fof(f26,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.40 fof(f27,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.40 fof(f28,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.40 fof(f29,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.40 fof(f30,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.40 fof(f31,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.40 fof(f32,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.40 fof(f33,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.40 fof(f34,plain,(
% 0.15/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.40 fof(f35,plain,(
% 0.15/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.40 fof(f36,plain,(
% 0.15/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.40 fof(f37,plain,(
% 0.15/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.40 fof(f38,plain,(
% 0.15/0.40 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.40 fof(f39,plain,(
% 0.15/0.40 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.40 fof(f40,plain,(
% 0.15/0.40 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.40 fof(f41,plain,(
% 0.15/0.40 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f20])).
% 0.15/0.40 fof(f42,plain,(
% 0.15/0.40 ![X2]: (((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X3)=sk_c7)|~multiply(X3,sk_c6)=sk_c7))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~inverse(X2)=sk_c5)|~multiply(X2,sk_c6)=sk_c5)),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f21])).
% 0.15/0.40 fof(f43,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~inverse(X3)=sk_c5|~multiply(X3,sk_c6)=sk_c5)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f42])).
% 0.15/0.40 fof(f44,plain,(
% 0.15/0.40 spl0_0 <=> inverse(sk_c1)=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f45,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|~spl0_0),
% 0.15/0.40 inference(component_clause,[status(thm)],[f44])).
% 0.15/0.40 fof(f47,plain,(
% 0.15/0.40 spl0_1 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f48,plain,(
% 0.15/0.40 multiply(sk_c3,sk_c6)=sk_c7|~spl0_1),
% 0.15/0.40 inference(component_clause,[status(thm)],[f47])).
% 0.15/0.40 fof(f50,plain,(
% 0.15/0.40 spl0_0|spl0_1),
% 0.15/0.40 inference(split_clause,[status(thm)],[f26,f44,f47])).
% 0.15/0.40 fof(f51,plain,(
% 0.15/0.40 spl0_2 <=> inverse(sk_c3)=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f52,plain,(
% 0.15/0.40 inverse(sk_c3)=sk_c6|~spl0_2),
% 0.15/0.40 inference(component_clause,[status(thm)],[f51])).
% 0.15/0.40 fof(f54,plain,(
% 0.15/0.40 spl0_0|spl0_2),
% 0.15/0.40 inference(split_clause,[status(thm)],[f27,f44,f51])).
% 0.15/0.40 fof(f55,plain,(
% 0.15/0.40 spl0_3 <=> inverse(sk_c4)=sk_c5),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f56,plain,(
% 0.15/0.40 inverse(sk_c4)=sk_c5|~spl0_3),
% 0.15/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.15/0.40 fof(f58,plain,(
% 0.15/0.40 spl0_0|spl0_3),
% 0.15/0.40 inference(split_clause,[status(thm)],[f28,f44,f55])).
% 0.15/0.40 fof(f59,plain,(
% 0.15/0.40 spl0_4 <=> multiply(sk_c4,sk_c6)=sk_c5),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f60,plain,(
% 0.15/0.40 multiply(sk_c4,sk_c6)=sk_c5|~spl0_4),
% 0.15/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.15/0.40 fof(f62,plain,(
% 0.15/0.40 spl0_0|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f29,f44,f59])).
% 0.15/0.40 fof(f63,plain,(
% 0.15/0.40 spl0_5 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f64,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|~spl0_5),
% 0.15/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.15/0.40 fof(f66,plain,(
% 0.15/0.40 spl0_5|spl0_1),
% 0.15/0.40 inference(split_clause,[status(thm)],[f30,f63,f47])).
% 0.15/0.40 fof(f67,plain,(
% 0.15/0.40 spl0_5|spl0_2),
% 0.15/0.40 inference(split_clause,[status(thm)],[f31,f63,f51])).
% 0.15/0.40 fof(f68,plain,(
% 0.15/0.40 spl0_5|spl0_3),
% 0.15/0.40 inference(split_clause,[status(thm)],[f32,f63,f55])).
% 0.15/0.40 fof(f69,plain,(
% 0.15/0.40 spl0_5|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f33,f63,f59])).
% 0.15/0.40 fof(f70,plain,(
% 0.15/0.40 spl0_6 <=> inverse(sk_c2)=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f71,plain,(
% 0.15/0.40 inverse(sk_c2)=sk_c6|~spl0_6),
% 0.15/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.15/0.40 fof(f73,plain,(
% 0.15/0.40 spl0_6|spl0_1),
% 0.15/0.40 inference(split_clause,[status(thm)],[f34,f70,f47])).
% 0.15/0.40 fof(f74,plain,(
% 0.15/0.40 spl0_6|spl0_2),
% 0.15/0.40 inference(split_clause,[status(thm)],[f35,f70,f51])).
% 0.15/0.40 fof(f75,plain,(
% 0.15/0.40 spl0_6|spl0_3),
% 0.15/0.40 inference(split_clause,[status(thm)],[f36,f70,f55])).
% 0.15/0.40 fof(f76,plain,(
% 0.15/0.40 spl0_6|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f37,f70,f59])).
% 0.15/0.40 fof(f77,plain,(
% 0.15/0.40 spl0_7 <=> multiply(sk_c2,sk_c5)=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f78,plain,(
% 0.15/0.40 multiply(sk_c2,sk_c5)=sk_c6|~spl0_7),
% 0.15/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.15/0.40 fof(f80,plain,(
% 0.15/0.40 spl0_7|spl0_1),
% 0.15/0.40 inference(split_clause,[status(thm)],[f38,f77,f47])).
% 0.15/0.40 fof(f81,plain,(
% 0.15/0.40 spl0_7|spl0_2),
% 0.15/0.40 inference(split_clause,[status(thm)],[f39,f77,f51])).
% 0.15/0.40 fof(f82,plain,(
% 0.15/0.40 spl0_7|spl0_3),
% 0.15/0.40 inference(split_clause,[status(thm)],[f40,f77,f55])).
% 0.15/0.40 fof(f83,plain,(
% 0.15/0.40 spl0_7|spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f41,f77,f59])).
% 0.15/0.40 fof(f84,plain,(
% 0.15/0.40 spl0_8 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f86,plain,(
% 0.15/0.40 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_8),
% 0.15/0.40 inference(component_clause,[status(thm)],[f84])).
% 0.15/0.40 fof(f87,plain,(
% 0.15/0.40 spl0_9 <=> ~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f88,plain,(
% 0.15/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_9)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f87])).
% 0.15/0.40 fof(f90,plain,(
% 0.15/0.40 spl0_10 <=> ~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f91,plain,(
% 0.15/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_10)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f90])).
% 0.15/0.40 fof(f93,plain,(
% 0.15/0.40 spl0_11 <=> ~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f94,plain,(
% 0.15/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_11)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.15/0.40 fof(f96,plain,(
% 0.15/0.40 spl0_12 <=> ~inverse(X3)=sk_c5|~multiply(X3,sk_c6)=sk_c5),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f97,plain,(
% 0.15/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c5|~spl0_12)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f96])).
% 0.15/0.40 fof(f99,plain,(
% 0.15/0.40 ~spl0_8|spl0_9|spl0_10|spl0_11|spl0_12),
% 0.15/0.40 inference(split_clause,[status(thm)],[f43,f84,f87,f90,f93,f96])).
% 0.15/0.40 fof(f108,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f23,f24])).
% 0.15/0.40 fof(f109,plain,(
% 0.15/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f22,f108])).
% 0.15/0.40 fof(f110,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f109,f109])).
% 0.15/0.40 fof(f111,plain,(
% 0.15/0.40 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f23,f109])).
% 0.15/0.40 fof(f112,plain,(
% 0.15/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f22,f109])).
% 0.15/0.40 fof(f113,plain,(
% 0.15/0.40 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f24,f109])).
% 0.15/0.40 fof(f115,plain,(
% 0.15/0.40 sk_c7=multiply(inverse(sk_c6),sk_c5)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f25,f109])).
% 0.15/0.40 fof(f120,plain,(
% 0.15/0.40 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f112,f109])).
% 0.15/0.40 fof(f128,plain,(
% 0.15/0.40 inverse(identity)=identity),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f23,f120])).
% 0.15/0.40 fof(f140,plain,(
% 0.15/0.40 ![X0]: (X0=multiply(X0,identity))),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f110,f111])).
% 0.15/0.40 fof(f141,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f109,f110])).
% 0.15/0.40 fof(f142,plain,(
% 0.15/0.40 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f23,f110])).
% 0.15/0.40 fof(f152,plain,(
% 0.15/0.40 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f110,f140])).
% 0.15/0.40 fof(f153,plain,(
% 0.15/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f140,f152])).
% 0.15/0.40 fof(f202,plain,(
% 0.15/0.40 ![X0]: (sk_c5=multiply(inverse(multiply(X0,inverse(sk_c6))),multiply(X0,sk_c7)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f115,f113])).
% 0.15/0.40 fof(f204,plain,(
% 0.15/0.40 ![X0,X1]: (X0=multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,identity)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f23,f113])).
% 0.15/0.40 fof(f205,plain,(
% 0.15/0.40 ![X0,X1]: (X0=multiply(inverse(multiply(X1,inverse(X0))),X1))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f140,f204])).
% 0.15/0.40 fof(f210,plain,(
% 0.15/0.40 ![X0]: (sk_c7=multiply(inverse(multiply(X0,sk_c6)),multiply(X0,sk_c5)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f25,f113])).
% 0.15/0.40 fof(f240,plain,(
% 0.15/0.40 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f142,f113])).
% 0.15/0.40 fof(f241,plain,(
% 0.15/0.40 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f140,f240])).
% 0.15/0.40 fof(f270,plain,(
% 0.15/0.40 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f141,f113])).
% 0.15/0.40 fof(f495,plain,(
% 0.15/0.40 ![X0]: (sk_c2=multiply(inverse(multiply(X0,sk_c6)),X0)|~spl0_6)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f71,f205])).
% 0.15/0.40 fof(f504,plain,(
% 0.15/0.40 inverse(sk_c7)=sk_c1|~spl0_0),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f45,f153])).
% 0.15/0.40 fof(f516,plain,(
% 0.15/0.40 ![X0]: (sk_c7=multiply(inverse(multiply(X0,sk_c1)),X0)|~spl0_0)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f504,f205])).
% 0.15/0.40 fof(f522,plain,(
% 0.15/0.40 ~sk_c5=sk_c5|spl0_8),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f25,f86])).
% 0.15/0.40 fof(f523,plain,(
% 0.15/0.40 $false|spl0_8),
% 0.15/0.40 inference(trivial_equality_resolution,[status(esa)],[f522])).
% 0.15/0.40 fof(f524,plain,(
% 0.15/0.40 spl0_8),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f523])).
% 0.15/0.40 fof(f537,plain,(
% 0.15/0.40 multiply(sk_c4,sk_c5)=identity|~spl0_3),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f56,f142])).
% 0.15/0.40 fof(f538,plain,(
% 0.15/0.40 inverse(sk_c5)=sk_c4|~spl0_3),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f56,f153])).
% 0.15/0.40 fof(f543,plain,(
% 0.15/0.40 multiply(sk_c3,sk_c6)=identity|~spl0_2),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f52,f142])).
% 0.15/0.40 fof(f782,plain,(
% 0.15/0.40 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f241,f241])).
% 0.15/0.40 fof(f783,plain,(
% 0.15/0.40 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f153,f782])).
% 0.15/0.40 fof(f950,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(X0,inverse(X1))=inverse(multiply(X1,inverse(X0))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f783,f141])).
% 0.15/0.40 fof(f1192,plain,(
% 0.15/0.40 ![X0]: (sk_c5=multiply(multiply(sk_c6,inverse(X0)),multiply(X0,sk_c7)))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f950,f202])).
% 0.15/0.40 fof(f1193,plain,(
% 0.15/0.40 ![X0]: (sk_c5=multiply(sk_c6,multiply(inverse(X0),multiply(X0,sk_c7))))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f24,f1192])).
% 0.15/0.40 fof(f1194,plain,(
% 0.15/0.40 sk_c5=multiply(sk_c6,sk_c7)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f109,f1193])).
% 0.15/0.40 fof(f1254,plain,(
% 0.15/0.40 spl0_13 <=> identity=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1256,plain,(
% 0.15/0.40 ~identity=sk_c7|spl0_13),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1254])).
% 0.15/0.40 fof(f1257,plain,(
% 0.15/0.40 spl0_14 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1259,plain,(
% 0.15/0.40 ~inverse(inverse(sk_c6))=sk_c6|spl0_14),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1257])).
% 0.15/0.40 fof(f1260,plain,(
% 0.15/0.40 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~spl0_11),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f23,f94])).
% 0.15/0.40 fof(f1261,plain,(
% 0.15/0.40 ~spl0_13|~spl0_14|~spl0_11),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1260,f1254,f1257,f93])).
% 0.15/0.40 fof(f1262,plain,(
% 0.15/0.40 spl0_15 <=> sk_c6=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1264,plain,(
% 0.15/0.40 ~sk_c6=sk_c7|spl0_15),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1262])).
% 0.15/0.40 fof(f1265,plain,(
% 0.15/0.40 spl0_16 <=> inverse(identity)=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1267,plain,(
% 0.15/0.40 ~inverse(identity)=sk_c6|spl0_16),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1265])).
% 0.15/0.40 fof(f1268,plain,(
% 0.15/0.40 ~sk_c6=sk_c7|~inverse(identity)=sk_c6|~spl0_11),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f22,f94])).
% 0.15/0.40 fof(f1269,plain,(
% 0.15/0.40 ~spl0_15|~spl0_16|~spl0_11),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1268,f1262,f1265,f93])).
% 0.15/0.40 fof(f1271,plain,(
% 0.15/0.40 ~identity=sk_c6|spl0_16),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f128,f1267])).
% 0.15/0.40 fof(f1272,plain,(
% 0.15/0.40 ~sk_c6=sk_c6|spl0_14),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f153,f1259])).
% 0.15/0.40 fof(f1273,plain,(
% 0.15/0.40 $false|spl0_14),
% 0.15/0.40 inference(trivial_equality_resolution,[status(esa)],[f1272])).
% 0.15/0.40 fof(f1274,plain,(
% 0.15/0.40 spl0_14),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f1273])).
% 0.15/0.40 fof(f1277,plain,(
% 0.15/0.40 spl0_17 <=> inverse(inverse(sk_c5))=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1279,plain,(
% 0.15/0.40 ~inverse(inverse(sk_c5))=sk_c6|spl0_17),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1277])).
% 0.15/0.40 fof(f1280,plain,(
% 0.15/0.40 spl0_18 <=> identity=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1282,plain,(
% 0.15/0.40 ~identity=sk_c6|spl0_18),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1280])).
% 0.15/0.40 fof(f1285,plain,(
% 0.15/0.40 spl0_19 <=> sk_c5=sk_c6),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1286,plain,(
% 0.15/0.40 sk_c5=sk_c6|~spl0_19),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1285])).
% 0.15/0.40 fof(f1287,plain,(
% 0.15/0.40 ~sk_c5=sk_c6|spl0_19),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1285])).
% 0.15/0.40 fof(f1291,plain,(
% 0.15/0.40 ~sk_c5=sk_c6|spl0_17),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f153,f1279])).
% 0.15/0.40 fof(f1364,plain,(
% 0.15/0.40 spl0_20 <=> inverse(inverse(sk_c6))=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1366,plain,(
% 0.15/0.40 ~inverse(inverse(sk_c6))=sk_c7|spl0_20),
% 0.15/0.40 inference(component_clause,[status(thm)],[f1364])).
% 0.15/0.40 fof(f1367,plain,(
% 0.15/0.40 ~inverse(inverse(sk_c6))=sk_c7|~identity=sk_c7|~spl0_9),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f23,f88])).
% 0.15/0.40 fof(f1368,plain,(
% 0.15/0.40 ~spl0_20|~spl0_13|~spl0_9),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1367,f1364,f1254,f87])).
% 0.15/0.40 fof(f1369,plain,(
% 0.15/0.40 spl0_21 <=> inverse(identity)=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f1372,plain,(
% 0.15/0.40 ~inverse(identity)=sk_c7|~sk_c6=sk_c7|~spl0_9),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f22,f88])).
% 0.15/0.40 fof(f1373,plain,(
% 0.15/0.40 ~spl0_21|~spl0_15|~spl0_9),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1372,f1369,f1262,f87])).
% 0.15/0.40 fof(f2078,plain,(
% 0.15/0.40 sk_c7=multiply(inverse(multiply(sk_c4,sk_c6)),identity)|~spl0_3),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f537,f210])).
% 0.15/0.40 fof(f2079,plain,(
% 0.15/0.40 sk_c7=inverse(multiply(sk_c4,sk_c6))|~spl0_3),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f140,f2078])).
% 0.15/0.40 fof(f2080,plain,(
% 0.15/0.40 sk_c7=inverse(sk_c5)|~spl0_4|~spl0_3),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f60,f2079])).
% 0.15/0.40 fof(f2081,plain,(
% 0.15/0.40 sk_c7=sk_c4|~spl0_4|~spl0_3),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f538,f2080])).
% 0.15/0.40 fof(f2306,plain,(
% 0.15/0.40 sk_c7=multiply(inverse(sk_c6),sk_c5)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f270,f210])).
% 0.15/0.40 fof(f2522,plain,(
% 0.15/0.40 sk_c7=identity|~spl0_1|~spl0_2),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f48,f543])).
% 0.15/0.40 fof(f2523,plain,(
% 0.15/0.40 $false|spl0_13|~spl0_1|~spl0_2),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2522,f1256])).
% 0.15/0.40 fof(f2524,plain,(
% 0.15/0.40 spl0_13|~spl0_1|~spl0_2),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f2523])).
% 0.15/0.40 fof(f2545,plain,(
% 0.15/0.40 sk_c2=inverse(sk_c6)|~spl0_6),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f241,f495])).
% 0.15/0.40 fof(f2593,plain,(
% 0.15/0.40 multiply(sk_c3,sk_c6)=identity|~spl0_2),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f52,f142])).
% 0.15/0.40 fof(f2685,plain,(
% 0.15/0.40 ~inverse(inverse(sk_c6))=sk_c6|~sk_c7=sk_c6|~spl0_10),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f2306,f91])).
% 0.15/0.40 fof(f2686,plain,(
% 0.15/0.40 ~spl0_14|~spl0_15|~spl0_10),
% 0.15/0.40 inference(split_clause,[status(thm)],[f2685,f1257,f1262,f90])).
% 0.15/0.40 fof(f2949,plain,(
% 0.15/0.40 ~inverse(sk_c1)=sk_c7|~spl0_9|~spl0_5),
% 0.15/0.40 inference(resolution,[status(thm)],[f88,f64])).
% 0.15/0.40 fof(f2950,plain,(
% 0.15/0.40 ~sk_c7=sk_c7|~spl0_0|~spl0_9|~spl0_5),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f45,f2949])).
% 0.15/0.40 fof(f2951,plain,(
% 0.15/0.40 $false|~spl0_0|~spl0_9|~spl0_5),
% 0.15/0.40 inference(trivial_equality_resolution,[status(esa)],[f2950])).
% 0.15/0.40 fof(f2952,plain,(
% 0.15/0.40 ~spl0_0|~spl0_9|~spl0_5),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f2951])).
% 0.15/0.40 fof(f2971,plain,(
% 0.15/0.40 sk_c7=identity|~spl0_1|~spl0_2),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f48,f543])).
% 0.15/0.40 fof(f2973,plain,(
% 0.15/0.40 sk_c7=identity|~spl0_1|~spl0_2),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f48,f2593])).
% 0.15/0.40 fof(f2992,plain,(
% 0.15/0.40 sk_c5=multiply(sk_c6,identity)|~spl0_1|~spl0_2),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f2971,f1194])).
% 0.15/0.40 fof(f2993,plain,(
% 0.15/0.40 sk_c5=sk_c6|~spl0_1|~spl0_2),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f140,f2992])).
% 0.15/0.40 fof(f2994,plain,(
% 0.15/0.40 $false|spl0_19|~spl0_1|~spl0_2),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2993,f1287])).
% 0.15/0.40 fof(f2995,plain,(
% 0.15/0.40 spl0_19|~spl0_1|~spl0_2),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f2994])).
% 0.15/0.40 fof(f2997,plain,(
% 0.15/0.40 ~spl0_19|spl0_17),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1291,f1285,f1277])).
% 0.15/0.40 fof(f3016,plain,(
% 0.15/0.40 inverse(sk_c4)=sk_c5|~spl0_3),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f538,f153])).
% 0.15/0.40 fof(f4145,plain,(
% 0.15/0.40 sk_c7=multiply(sk_c2,sk_c5)|~spl0_6),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f2545,f2306])).
% 0.15/0.40 fof(f4146,plain,(
% 0.15/0.40 sk_c7=sk_c6|~spl0_7|~spl0_6),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f78,f4145])).
% 0.15/0.40 fof(f4147,plain,(
% 0.15/0.40 $false|spl0_15|~spl0_7|~spl0_6),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f4146,f1264])).
% 0.15/0.40 fof(f4148,plain,(
% 0.15/0.40 spl0_15|~spl0_7|~spl0_6),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f4147])).
% 0.15/0.40 fof(f4184,plain,(
% 0.15/0.40 identity=sk_c4|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f2973,f2081])).
% 0.15/0.40 fof(f4185,plain,(
% 0.15/0.40 inverse(identity)=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4184,f3016])).
% 0.15/0.40 fof(f4186,plain,(
% 0.15/0.40 identity=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f128,f4185])).
% 0.15/0.40 fof(f4187,plain,(
% 0.15/0.40 identity=sk_c6|~spl0_19|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f1286,f4186])).
% 0.15/0.40 fof(f4190,plain,(
% 0.15/0.40 ~sk_c6=identity|~spl0_1|~spl0_2|spl0_15),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f2973,f1264])).
% 0.15/0.40 fof(f4201,plain,(
% 0.15/0.40 spl0_24 <=> sk_c7=sk_c7),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f4203,plain,(
% 0.15/0.40 ~sk_c7=sk_c7|spl0_24),
% 0.15/0.40 inference(component_clause,[status(thm)],[f4201])).
% 0.15/0.40 fof(f4248,plain,(
% 0.15/0.40 ~identity=identity|~spl0_19|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_15),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4187,f4190])).
% 0.15/0.40 fof(f4249,plain,(
% 0.15/0.40 $false|~spl0_19|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_15),
% 0.15/0.40 inference(trivial_equality_resolution,[status(esa)],[f4248])).
% 0.15/0.40 fof(f4250,plain,(
% 0.15/0.40 ~spl0_19|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_15),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f4249])).
% 0.15/0.40 fof(f4251,plain,(
% 0.15/0.40 $false|spl0_24),
% 0.15/0.40 inference(trivial_equality_resolution,[status(esa)],[f4203])).
% 0.15/0.40 fof(f4252,plain,(
% 0.15/0.40 spl0_24),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f4251])).
% 0.15/0.40 fof(f4253,plain,(
% 0.15/0.40 ~sk_c6=sk_c7|spl0_20),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f153,f1366])).
% 0.15/0.40 fof(f4254,plain,(
% 0.15/0.40 ~spl0_15|spl0_20),
% 0.15/0.40 inference(split_clause,[status(thm)],[f4253,f1262,f1364])).
% 0.15/0.40 fof(f4270,plain,(
% 0.15/0.40 sk_c7=inverse(sk_c1)|~spl0_0),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f241,f516])).
% 0.15/0.40 fof(f4329,plain,(
% 0.15/0.40 sk_c5=multiply(sk_c6,sk_c6)|~spl0_7|~spl0_6),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4146,f1194])).
% 0.15/0.40 fof(f4713,plain,(
% 0.15/0.40 sk_c6=inverse(sk_c1)|~spl0_7|~spl0_6|~spl0_0),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4146,f4270])).
% 0.15/0.40 fof(f4760,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c6|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4146,f64])).
% 0.15/0.40 fof(f4774,plain,(
% 0.15/0.40 inverse(sk_c1)=multiply(sk_c6,inverse(sk_c6))|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f4760,f783])).
% 0.15/0.40 fof(f4775,plain,(
% 0.15/0.40 sk_c6=multiply(sk_c6,inverse(sk_c6))|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4713,f4774])).
% 0.15/0.40 fof(f4776,plain,(
% 0.15/0.40 sk_c6=identity|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f142,f4775])).
% 0.15/0.40 fof(f4777,plain,(
% 0.15/0.40 $false|spl0_18|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f4776,f1282])).
% 0.15/0.40 fof(f4778,plain,(
% 0.15/0.40 spl0_18|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f4777])).
% 0.15/0.40 fof(f4782,plain,(
% 0.15/0.40 sk_c6=multiply(inverse(sk_c1),sk_c6)|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f4760,f109])).
% 0.15/0.40 fof(f4783,plain,(
% 0.15/0.40 sk_c6=multiply(sk_c6,sk_c6)|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4713,f4782])).
% 0.15/0.40 fof(f4784,plain,(
% 0.15/0.40 sk_c6=sk_c5|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4329,f4783])).
% 0.15/0.40 fof(f4785,plain,(
% 0.15/0.40 $false|spl0_19|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f4784,f1287])).
% 0.15/0.40 fof(f4786,plain,(
% 0.15/0.40 spl0_19|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f4785])).
% 0.15/0.40 fof(f4788,plain,(
% 0.15/0.40 ~spl0_18|spl0_16),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1271,f1280,f1265])).
% 0.15/0.40 fof(f4823,plain,(
% 0.15/0.40 identity=sk_c5|~spl0_0|~spl0_7|~spl0_6|~spl0_5),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4776,f4784])).
% 0.15/0.40 fof(f5434,plain,(
% 0.15/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c5|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_12)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4823,f97])).
% 0.15/0.40 fof(f5435,plain,(
% 0.15/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c5|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_12)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4776,f5434])).
% 0.15/0.40 fof(f5436,plain,(
% 0.15/0.40 ![X0]: (~inverse(X0)=identity|~X0=sk_c5|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_12)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f140,f5435])).
% 0.15/0.40 fof(f5437,plain,(
% 0.15/0.40 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_12)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f4823,f5436])).
% 0.15/0.40 fof(f5438,plain,(
% 0.15/0.40 ~inverse(identity)=identity|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_12),
% 0.15/0.40 inference(destructive_equality_resolution,[status(esa)],[f5437])).
% 0.15/0.40 fof(f5439,plain,(
% 0.15/0.40 $false|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_12),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f5438,f128])).
% 0.15/0.40 fof(f5440,plain,(
% 0.15/0.40 ~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_12),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f5439])).
% 0.15/0.40 fof(f5481,plain,(
% 0.15/0.40 spl0_25 <=> inverse(inverse(sk_c6))=sk_c5),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f5484,plain,(
% 0.15/0.40 spl0_26 <=> identity=sk_c5),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f5487,plain,(
% 0.15/0.40 ~inverse(inverse(sk_c6))=sk_c5|~identity=sk_c5|~spl0_12),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f23,f97])).
% 0.15/0.40 fof(f5488,plain,(
% 0.15/0.40 ~spl0_25|~spl0_26|~spl0_12),
% 0.15/0.40 inference(split_clause,[status(thm)],[f5487,f5481,f5484,f96])).
% 0.15/0.40 fof(f5489,plain,(
% 0.15/0.40 spl0_27 <=> inverse(identity)=sk_c5),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f5492,plain,(
% 0.15/0.40 ~inverse(identity)=sk_c5|~sk_c6=sk_c5|~spl0_12),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f22,f97])).
% 0.15/0.40 fof(f5493,plain,(
% 0.15/0.40 ~spl0_27|~spl0_19|~spl0_12),
% 0.15/0.40 inference(split_clause,[status(thm)],[f5492,f5489,f1285,f96])).
% 0.15/0.40 fof(f5498,plain,(
% 0.15/0.40 spl0_28 <=> sk_c5=sk_c5),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f5500,plain,(
% 0.15/0.40 ~sk_c5=sk_c5|spl0_28),
% 0.15/0.40 inference(component_clause,[status(thm)],[f5498])).
% 0.15/0.40 fof(f5501,plain,(
% 0.15/0.40 ~inverse(sk_c4)=sk_c5|~sk_c5=sk_c5|~spl0_12|~spl0_4),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f60,f97])).
% 0.15/0.40 fof(f5502,plain,(
% 0.15/0.40 ~spl0_3|~spl0_28|~spl0_12|~spl0_4),
% 0.15/0.40 inference(split_clause,[status(thm)],[f5501,f55,f5498,f96,f59])).
% 0.15/0.40 fof(f5511,plain,(
% 0.15/0.40 $false|spl0_28),
% 0.15/0.40 inference(trivial_equality_resolution,[status(esa)],[f5500])).
% 0.15/0.40 fof(f5512,plain,(
% 0.15/0.40 spl0_28),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f5511])).
% 0.15/0.40 fof(f5513,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(sat_refutation,[status(thm)],[f50,f54,f58,f62,f66,f67,f68,f69,f73,f74,f75,f76,f80,f81,f82,f83,f99,f524,f1261,f1269,f1274,f1368,f1373,f2524,f2686,f2952,f2995,f2997,f4148,f4250,f4252,f4254,f4778,f4786,f4788,f5440,f5488,f5493,f5502,f5512])).
% 0.15/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.113416 seconds
% 0.15/0.43 % CPU time: 0.360133 seconds
% 0.15/0.43 % Memory used: 62.219 MB
%------------------------------------------------------------------------------