TSTP Solution File: GRP316-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP316-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:11:19 EDT 2023
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP316-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n002.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 11:47:43 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f10,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f14,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f15,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f16,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f20,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f21,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f22,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f23,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f24,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f25,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f26,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f27,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f28,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f29,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f30,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f31,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f32,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f33,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f34,negated_conjecture,(
% 0.14/0.38 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(X4,sk_c7) != sk_c6| inverse(X4) != sk_c7| multiply(sk_c6,sk_c8) != sk_c7| multiply(sk_c8,X1) != sk_c7| multiply(X2,sk_c8) != X1| inverse(X2) != sk_c8| multiply(X5,sk_c6) != sk_c8| inverse(X5) != sk_c6 ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f35,plain,(
% 0.14/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.38 fof(f38,plain,(
% 0.14/0.38 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.38 fof(f42,plain,(
% 0.14/0.38 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f43,plain,(
% 0.14/0.38 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.38 fof(f48,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.38 fof(f49,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.38 fof(f50,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f21])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.38 fof(f57,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c8,sk_c4)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.38 fof(f58,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c3,sk_c8)=sk_c4),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f25])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f26])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f27])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.38 fof(f63,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c4)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c4),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.38 fof(f65,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f31])).
% 0.14/0.38 fof(f66,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f32])).
% 0.14/0.38 fof(f67,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f33])).
% 0.14/0.38 fof(f68,plain,(
% 0.14/0.38 ![X5]: (((![X2]: ((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(X4,sk_c7)=sk_c6)|~inverse(X4)=sk_c7))|~multiply(sk_c6,sk_c8)=sk_c7)|~multiply(sk_c8,X1)=sk_c7)|~multiply(X2,sk_c8)=X1))|~inverse(X2)=sk_c8))|~multiply(X5,sk_c6)=sk_c8)|~inverse(X5)=sk_c6)),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f34])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~multiply(sk_c6,sk_c8)=sk_c7|~multiply(sk_c8,X2)=sk_c7|~multiply(X3,sk_c8)=X2|~inverse(X3)=sk_c8|~multiply(X4,sk_c6)=sk_c8|~inverse(X4)=sk_c6)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f68])).
% 0.14/0.38 fof(f70,plain,(
% 0.14/0.38 spl0_0 <=> multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f71,plain,(
% 0.14/0.38 multiply(sk_c7,sk_c8)=sk_c6|~spl0_0),
% 0.14/0.38 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.38 fof(f72,plain,(
% 0.14/0.38 ~multiply(sk_c7,sk_c8)=sk_c6|spl0_0),
% 0.14/0.38 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.38 fof(f73,plain,(
% 0.14/0.38 spl0_1 <=> multiply(sk_c6,sk_c8)=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f74,plain,(
% 0.14/0.38 multiply(sk_c6,sk_c8)=sk_c7|~spl0_1),
% 0.14/0.38 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.38 fof(f75,plain,(
% 0.14/0.38 ~multiply(sk_c6,sk_c8)=sk_c7|spl0_1),
% 0.14/0.38 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.38 fof(f76,plain,(
% 0.14/0.38 spl0_0|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.38 fof(f77,plain,(
% 0.14/0.38 spl0_2 <=> multiply(sk_c8,sk_c4)=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f78,plain,(
% 0.14/0.38 multiply(sk_c8,sk_c4)=sk_c7|~spl0_2),
% 0.14/0.38 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.38 fof(f81,plain,(
% 0.14/0.38 spl0_3 <=> multiply(sk_c3,sk_c8)=sk_c4),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f82,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c8)=sk_c4|~spl0_3),
% 0.14/0.38 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.38 fof(f85,plain,(
% 0.14/0.38 spl0_4 <=> inverse(sk_c3)=sk_c8),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f86,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c8|~spl0_4),
% 0.14/0.38 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.38 fof(f89,plain,(
% 0.14/0.38 spl0_5 <=> multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f90,plain,(
% 0.14/0.38 multiply(sk_c5,sk_c6)=sk_c8|~spl0_5),
% 0.14/0.38 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.38 fof(f92,plain,(
% 0.14/0.38 spl0_0|spl0_5),
% 0.14/0.38 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.14/0.38 fof(f93,plain,(
% 0.14/0.38 spl0_6 <=> inverse(sk_c5)=sk_c6),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f94,plain,(
% 0.14/0.38 inverse(sk_c5)=sk_c6|~spl0_6),
% 0.14/0.38 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.38 fof(f96,plain,(
% 0.14/0.38 spl0_0|spl0_6),
% 0.14/0.38 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.14/0.38 fof(f97,plain,(
% 0.14/0.38 spl0_7 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c8)=sk_c7|~spl0_7),
% 0.14/0.38 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 spl0_7|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.14/0.38 fof(f104,plain,(
% 0.14/0.38 spl0_7|spl0_5),
% 0.14/0.38 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.14/0.38 fof(f105,plain,(
% 0.14/0.38 spl0_7|spl0_6),
% 0.14/0.38 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.14/0.38 fof(f106,plain,(
% 0.14/0.38 spl0_8 <=> inverse(sk_c1)=sk_c8),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f107,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c8|~spl0_8),
% 0.14/0.38 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.38 fof(f109,plain,(
% 0.14/0.38 spl0_8|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.14/0.38 fof(f113,plain,(
% 0.14/0.38 spl0_8|spl0_5),
% 0.14/0.38 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.14/0.38 fof(f114,plain,(
% 0.14/0.38 spl0_8|spl0_6),
% 0.14/0.38 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.14/0.38 fof(f115,plain,(
% 0.14/0.38 spl0_9 <=> multiply(sk_c2,sk_c7)=sk_c6),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f116,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c7)=sk_c6|~spl0_9),
% 0.14/0.38 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.38 fof(f118,plain,(
% 0.14/0.38 spl0_9|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.14/0.38 fof(f119,plain,(
% 0.14/0.38 spl0_9|spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.14/0.38 fof(f120,plain,(
% 0.14/0.38 spl0_9|spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.14/0.38 fof(f121,plain,(
% 0.14/0.38 spl0_9|spl0_4),
% 0.14/0.38 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.14/0.38 fof(f122,plain,(
% 0.14/0.38 spl0_9|spl0_5),
% 0.14/0.38 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.14/0.38 fof(f123,plain,(
% 0.14/0.38 spl0_9|spl0_6),
% 0.14/0.38 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.14/0.38 fof(f124,plain,(
% 0.14/0.38 spl0_10 <=> inverse(sk_c2)=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f125,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c7|~spl0_10),
% 0.14/0.38 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.38 fof(f127,plain,(
% 0.14/0.38 spl0_10|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.14/0.38 fof(f128,plain,(
% 0.14/0.38 spl0_10|spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.14/0.38 fof(f129,plain,(
% 0.14/0.38 spl0_10|spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.14/0.38 fof(f130,plain,(
% 0.14/0.38 spl0_10|spl0_4),
% 0.14/0.38 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.14/0.38 fof(f131,plain,(
% 0.14/0.38 spl0_10|spl0_5),
% 0.14/0.38 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.14/0.38 fof(f132,plain,(
% 0.14/0.38 spl0_10|spl0_6),
% 0.14/0.38 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 spl0_11 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f134,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_11)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.38 fof(f136,plain,(
% 0.14/0.38 spl0_12 <=> ~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f137,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_12)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.38 fof(f139,plain,(
% 0.14/0.38 spl0_13 <=> ~multiply(sk_c8,X2)=sk_c7|~multiply(X3,sk_c8)=X2|~inverse(X3)=sk_c8),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f140,plain,(
% 0.14/0.38 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f139])).
% 0.14/0.38 fof(f142,plain,(
% 0.14/0.38 spl0_14 <=> ~multiply(X4,sk_c6)=sk_c8|~inverse(X4)=sk_c6),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f143,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,sk_c6)=sk_c8|~inverse(X0)=sk_c6|~spl0_14)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f142])).
% 0.14/0.38 fof(f145,plain,(
% 0.14/0.38 ~spl0_0|spl0_11|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.14/0.38 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.14/0.38 fof(f150,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.38 fof(f151,plain,(
% 0.14/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f35,f150])).
% 0.14/0.38 fof(f152,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f151,f151])).
% 0.14/0.38 fof(f153,plain,(
% 0.14/0.38 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f36,f151])).
% 0.14/0.38 fof(f155,plain,(
% 0.14/0.38 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f37,f151])).
% 0.14/0.38 fof(f162,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f151,f152])).
% 0.14/0.38 fof(f163,plain,(
% 0.14/0.38 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f36,f152])).
% 0.14/0.38 fof(f172,plain,(
% 0.14/0.38 inverse(identity)=identity),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f35,f163])).
% 0.14/0.38 fof(f191,plain,(
% 0.14/0.38 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f152,f153])).
% 0.14/0.38 fof(f192,plain,(
% 0.14/0.38 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f152,f191])).
% 0.14/0.38 fof(f193,plain,(
% 0.14/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f191,f192])).
% 0.14/0.38 fof(f244,plain,(
% 0.14/0.38 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f163,f155])).
% 0.14/0.38 fof(f245,plain,(
% 0.14/0.38 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f191,f244])).
% 0.14/0.38 fof(f619,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c7)=identity|~spl0_10),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f125,f163])).
% 0.14/0.38 fof(f623,plain,(
% 0.14/0.38 inverse(sk_c8)=sk_c1|~spl0_8),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f107,f193])).
% 0.14/0.38 fof(f629,plain,(
% 0.14/0.38 multiply(sk_c5,sk_c6)=identity|~spl0_6),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f94,f163])).
% 0.14/0.38 fof(f633,plain,(
% 0.14/0.38 inverse(sk_c8)=sk_c3|~spl0_4),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f86,f193])).
% 0.14/0.38 fof(f727,plain,(
% 0.14/0.38 spl0_15 <=> identity=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f729,plain,(
% 0.14/0.38 ~identity=sk_c7|spl0_15),
% 0.14/0.38 inference(component_clause,[status(thm)],[f727])).
% 0.14/0.38 fof(f730,plain,(
% 0.14/0.38 spl0_16 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f732,plain,(
% 0.14/0.38 ~inverse(inverse(sk_c6))=sk_c6|spl0_16),
% 0.14/0.38 inference(component_clause,[status(thm)],[f730])).
% 0.14/0.38 fof(f735,plain,(
% 0.14/0.38 spl0_17 <=> sk_c6=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f737,plain,(
% 0.14/0.38 ~sk_c6=sk_c7|spl0_17),
% 0.14/0.38 inference(component_clause,[status(thm)],[f735])).
% 0.14/0.38 fof(f745,plain,(
% 0.14/0.38 ~sk_c6=sk_c6|spl0_16),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f193,f732])).
% 0.14/0.38 fof(f746,plain,(
% 0.14/0.38 $false|spl0_16),
% 0.14/0.38 inference(trivial_equality_resolution,[status(esa)],[f745])).
% 0.14/0.38 fof(f747,plain,(
% 0.14/0.38 spl0_16),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f746])).
% 0.14/0.38 fof(f748,plain,(
% 0.14/0.38 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.14/0.38 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 0.14/0.38 fof(f772,plain,(
% 0.14/0.38 sk_c6=identity|~spl0_9|~spl0_10),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f116,f619])).
% 0.14/0.38 fof(f869,plain,(
% 0.14/0.38 spl0_19 <=> sk_c8=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f870,plain,(
% 0.14/0.38 sk_c8=sk_c7|~spl0_19),
% 0.14/0.38 inference(component_clause,[status(thm)],[f869])).
% 0.14/0.38 fof(f871,plain,(
% 0.14/0.38 ~sk_c8=sk_c7|spl0_19),
% 0.14/0.38 inference(component_clause,[status(thm)],[f869])).
% 0.14/0.38 fof(f872,plain,(
% 0.14/0.38 spl0_20 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f874,plain,(
% 0.14/0.38 ~inverse(inverse(sk_c8))=sk_c8|spl0_20),
% 0.14/0.38 inference(component_clause,[status(thm)],[f872])).
% 0.14/0.38 fof(f875,plain,(
% 0.14/0.38 ~sk_c8=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f162,f748])).
% 0.14/0.38 fof(f876,plain,(
% 0.14/0.38 ~spl0_19|~spl0_20|~spl0_13),
% 0.14/0.38 inference(split_clause,[status(thm)],[f875,f869,f872,f139])).
% 0.14/0.38 fof(f879,plain,(
% 0.14/0.38 spl0_21 <=> multiply(sk_c8,identity)=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f882,plain,(
% 0.14/0.38 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f36,f748])).
% 0.14/0.38 fof(f883,plain,(
% 0.14/0.38 ~spl0_21|~spl0_20|~spl0_13),
% 0.14/0.38 inference(split_clause,[status(thm)],[f882,f879,f872,f139])).
% 0.14/0.38 fof(f884,plain,(
% 0.14/0.38 spl0_22 <=> multiply(sk_c8,sk_c8)=sk_c7),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f886,plain,(
% 0.14/0.38 ~multiply(sk_c8,sk_c8)=sk_c7|spl0_22),
% 0.14/0.38 inference(component_clause,[status(thm)],[f884])).
% 0.14/0.38 fof(f887,plain,(
% 0.14/0.38 spl0_23 <=> inverse(identity)=sk_c8),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f888,plain,(
% 0.14/0.38 inverse(identity)=sk_c8|~spl0_23),
% 0.14/0.38 inference(component_clause,[status(thm)],[f887])).
% 0.14/0.38 fof(f889,plain,(
% 0.14/0.38 ~inverse(identity)=sk_c8|spl0_23),
% 0.14/0.38 inference(component_clause,[status(thm)],[f887])).
% 0.14/0.38 fof(f890,plain,(
% 0.14/0.38 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~spl0_13),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f35,f748])).
% 0.14/0.38 fof(f891,plain,(
% 0.14/0.38 ~spl0_22|~spl0_23|~spl0_13),
% 0.14/0.38 inference(split_clause,[status(thm)],[f890,f884,f887,f139])).
% 0.14/0.38 fof(f893,plain,(
% 0.14/0.38 ~identity=sk_c8|spl0_23),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f172,f889])).
% 0.14/0.38 fof(f895,plain,(
% 0.14/0.38 ~sk_c8=sk_c8|spl0_20),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f193,f874])).
% 0.14/0.38 fof(f896,plain,(
% 0.14/0.38 $false|spl0_20),
% 0.14/0.38 inference(trivial_equality_resolution,[status(esa)],[f895])).
% 0.14/0.38 fof(f897,plain,(
% 0.14/0.38 spl0_20),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f896])).
% 0.14/0.38 fof(f898,plain,(
% 0.14/0.38 identity=sk_c8|~spl0_6|~spl0_5),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f629,f90])).
% 0.14/0.38 fof(f900,plain,(
% 0.14/0.38 inverse(identity)=sk_c3|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f898,f633])).
% 0.14/0.38 fof(f901,plain,(
% 0.14/0.38 identity=sk_c3|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f172,f900])).
% 0.14/0.38 fof(f1762,plain,(
% 0.14/0.38 ~identity=identity|~spl0_6|~spl0_5|spl0_23),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f898,f893])).
% 0.14/0.38 fof(f1763,plain,(
% 0.14/0.38 $false|~spl0_6|~spl0_5|spl0_23),
% 0.14/0.38 inference(trivial_equality_resolution,[status(esa)],[f1762])).
% 0.14/0.38 fof(f1764,plain,(
% 0.14/0.38 ~spl0_6|~spl0_5|spl0_23),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f1763])).
% 0.14/0.38 fof(f1765,plain,(
% 0.14/0.38 identity=sk_c8|~spl0_23),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f172,f888])).
% 0.14/0.38 fof(f1767,plain,(
% 0.14/0.38 multiply(sk_c6,identity)=sk_c7|~spl0_6|~spl0_5|~spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f898,f74])).
% 0.14/0.38 fof(f1768,plain,(
% 0.14/0.38 sk_c6=sk_c7|~spl0_6|~spl0_5|~spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f191,f1767])).
% 0.14/0.38 fof(f1769,plain,(
% 0.14/0.38 $false|spl0_17|~spl0_6|~spl0_5|~spl0_1),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1768,f737])).
% 0.14/0.38 fof(f1770,plain,(
% 0.14/0.38 spl0_17|~spl0_6|~spl0_5|~spl0_1),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f1769])).
% 0.14/0.38 fof(f1822,plain,(
% 0.14/0.38 multiply(identity,sk_c4)=sk_c7|~spl0_6|~spl0_5|~spl0_2),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f898,f78])).
% 0.14/0.38 fof(f1823,plain,(
% 0.14/0.38 sk_c4=sk_c7|~spl0_6|~spl0_5|~spl0_2),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f35,f1822])).
% 0.14/0.38 fof(f1824,plain,(
% 0.14/0.38 multiply(identity,sk_c8)=sk_c4|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f901,f82])).
% 0.14/0.38 fof(f1825,plain,(
% 0.14/0.38 sk_c8=sk_c4|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f35,f1824])).
% 0.14/0.38 fof(f1826,plain,(
% 0.14/0.38 identity=sk_c4|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f898,f1825])).
% 0.14/0.38 fof(f1827,plain,(
% 0.14/0.38 identity=sk_c7|~spl0_2|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f1823,f1826])).
% 0.14/0.38 fof(f1828,plain,(
% 0.14/0.38 $false|spl0_15|~spl0_2|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1827,f729])).
% 0.14/0.38 fof(f1829,plain,(
% 0.14/0.38 spl0_15|~spl0_2|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f1828])).
% 0.14/0.38 fof(f1832,plain,(
% 0.14/0.38 ~identity=sk_c7|~spl0_6|~spl0_5|spl0_19),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f898,f871])).
% 0.14/0.38 fof(f1833,plain,(
% 0.14/0.38 ~spl0_15|~spl0_6|~spl0_5|spl0_19),
% 0.14/0.38 inference(split_clause,[status(thm)],[f1832,f727,f93,f89,f869])).
% 0.14/0.38 fof(f1921,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_9|~spl0_10|~spl0_12)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f772,f137])).
% 0.14/0.38 fof(f1922,plain,(
% 0.14/0.38 ~inverse(sk_c2)=sk_c7|~spl0_9|~spl0_12|~spl0_10),
% 0.14/0.38 inference(resolution,[status(thm)],[f1921,f619])).
% 0.14/0.38 fof(f1923,plain,(
% 0.14/0.38 ~sk_c7=sk_c7|~spl0_9|~spl0_12|~spl0_10),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f125,f1922])).
% 0.14/0.38 fof(f1924,plain,(
% 0.14/0.38 $false|~spl0_9|~spl0_12|~spl0_10),
% 0.14/0.38 inference(trivial_equality_resolution,[status(esa)],[f1923])).
% 0.14/0.38 fof(f1925,plain,(
% 0.14/0.38 ~spl0_9|~spl0_12|~spl0_10),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f1924])).
% 0.14/0.38 fof(f1928,plain,(
% 0.14/0.38 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_11),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f36,f134])).
% 0.14/0.38 fof(f1929,plain,(
% 0.14/0.38 ~spl0_15|~spl0_20|~spl0_11),
% 0.14/0.38 inference(split_clause,[status(thm)],[f1928,f727,f872,f133])).
% 0.14/0.38 fof(f1930,plain,(
% 0.14/0.38 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~spl0_11),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f35,f134])).
% 0.14/0.38 fof(f1931,plain,(
% 0.14/0.38 ~spl0_19|~spl0_23|~spl0_11),
% 0.14/0.38 inference(split_clause,[status(thm)],[f1930,f869,f887,f133])).
% 0.14/0.38 fof(f1933,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c6|~spl0_9|~spl0_10|~spl0_14)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f772,f143])).
% 0.14/0.38 fof(f1934,plain,(
% 0.14/0.38 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c6|~spl0_9|~spl0_10|~spl0_14)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f191,f1933])).
% 0.14/0.38 fof(f1935,plain,(
% 0.14/0.38 ![X0]: (~X0=sk_c8|~inverse(X0)=identity|~spl0_9|~spl0_10|~spl0_14)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f772,f1934])).
% 0.14/0.38 fof(f1936,plain,(
% 0.14/0.38 ~inverse(sk_c8)=identity|~spl0_9|~spl0_10|~spl0_14),
% 0.14/0.38 inference(destructive_equality_resolution,[status(esa)],[f1935])).
% 0.14/0.38 fof(f1937,plain,(
% 0.14/0.38 multiply(identity,sk_c8)=sk_c7|~spl0_9|~spl0_10|~spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f772,f74])).
% 0.14/0.38 fof(f1938,plain,(
% 0.14/0.38 sk_c8=sk_c7|~spl0_9|~spl0_10|~spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f35,f1937])).
% 0.14/0.38 fof(f1939,plain,(
% 0.14/0.38 multiply(sk_c7,sk_c8)=identity|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f772,f71])).
% 0.14/0.38 fof(f1953,plain,(
% 0.14/0.38 inverse(sk_c8)=multiply(inverse(identity),sk_c7)|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f1939,f245])).
% 0.14/0.38 fof(f1954,plain,(
% 0.14/0.38 sk_c1=multiply(inverse(identity),sk_c7)|~spl0_8|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f623,f1953])).
% 0.14/0.38 fof(f1955,plain,(
% 0.14/0.38 sk_c1=multiply(identity,sk_c7)|~spl0_8|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f172,f1954])).
% 0.14/0.38 fof(f1956,plain,(
% 0.14/0.38 sk_c1=sk_c7|~spl0_8|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f35,f1955])).
% 0.14/0.38 fof(f2609,plain,(
% 0.14/0.38 $false|spl0_19|~spl0_9|~spl0_10|~spl0_1),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1938,f871])).
% 0.14/0.38 fof(f2610,plain,(
% 0.14/0.38 spl0_19|~spl0_9|~spl0_10|~spl0_1),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f2609])).
% 0.14/0.38 fof(f2611,plain,(
% 0.14/0.38 ~multiply(identity,sk_c8)=sk_c7|~spl0_9|~spl0_10|spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f772,f75])).
% 0.14/0.38 fof(f2612,plain,(
% 0.14/0.38 ~sk_c8=sk_c7|~spl0_9|~spl0_10|spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f35,f2611])).
% 0.14/0.38 fof(f2631,plain,(
% 0.14/0.38 multiply(sk_c7,sk_c8)=sk_c7|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f1956,f98])).
% 0.14/0.38 fof(f2632,plain,(
% 0.14/0.38 identity=sk_c7|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f1939,f2631])).
% 0.14/0.38 fof(f2632,plain,(
% 0.14/0.38 identity=sk_c7|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f1939,f2631])).
% 0.14/0.38 fof(f2636,plain,(
% 0.14/0.38 multiply(identity,sk_c8)=identity|~spl0_8|~spl0_7|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f2632,f1939])).
% 0.14/0.38 fof(f2637,plain,(
% 0.14/0.38 sk_c8=identity|~spl0_8|~spl0_7|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f35,f2636])).
% 0.14/0.38 fof(f2638,plain,(
% 0.14/0.38 $false|spl0_23|~spl0_8|~spl0_7|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f2637,f893])).
% 0.14/0.38 fof(f2639,plain,(
% 0.14/0.38 spl0_23|~spl0_8|~spl0_7|~spl0_9|~spl0_10|~spl0_0),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f2638])).
% 0.14/0.38 fof(f2640,plain,(
% 0.14/0.38 ~multiply(sk_c8,sk_c8)=identity|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7|spl0_22),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f2632,f886])).
% 0.14/0.38 fof(f2641,plain,(
% 0.14/0.38 ~sk_c8=identity|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f2632,f2612])).
% 0.14/0.38 fof(f2644,plain,(
% 0.14/0.38 ~identity=identity|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f2637,f2641])).
% 0.14/0.38 fof(f2645,plain,(
% 0.14/0.38 $false|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.14/0.38 inference(trivial_equality_resolution,[status(esa)],[f2644])).
% 0.14/0.38 fof(f2646,plain,(
% 0.14/0.38 ~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f2645])).
% 0.14/0.38 fof(f2673,plain,(
% 0.14/0.38 identity=sk_c7|~spl0_23|~spl0_19),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f1765,f870])).
% 0.14/0.38 fof(f2698,plain,(
% 0.14/0.38 sk_c6=identity|~spl0_23|~spl0_19|~spl0_6|~spl0_5|~spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f2673,f1768])).
% 0.14/0.38 fof(f3053,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c6|~spl0_23|~spl0_19|~spl0_6|~spl0_5|~spl0_1|~spl0_14)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f2698,f143])).
% 0.14/0.38 fof(f3054,plain,(
% 0.14/0.38 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c6|~spl0_23|~spl0_19|~spl0_6|~spl0_5|~spl0_1|~spl0_14)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f191,f3053])).
% 0.14/0.38 fof(f3055,plain,(
% 0.14/0.38 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_23|~spl0_19|~spl0_6|~spl0_5|~spl0_1|~spl0_14)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f1765,f3054])).
% 0.14/0.38 fof(f3056,plain,(
% 0.14/0.38 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_23|~spl0_19|~spl0_6|~spl0_5|~spl0_1|~spl0_14)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f2698,f3055])).
% 0.14/0.38 fof(f3057,plain,(
% 0.14/0.38 ~inverse(identity)=identity|~spl0_23|~spl0_19|~spl0_6|~spl0_5|~spl0_1|~spl0_14),
% 0.14/0.38 inference(destructive_equality_resolution,[status(esa)],[f3056])).
% 0.14/0.38 fof(f3058,plain,(
% 0.14/0.38 $false|~spl0_23|~spl0_19|~spl0_6|~spl0_5|~spl0_1|~spl0_14),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f3057,f172])).
% 0.14/0.38 fof(f3059,plain,(
% 0.14/0.38 ~spl0_23|~spl0_19|~spl0_6|~spl0_5|~spl0_1|~spl0_14),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f3058])).
% 0.14/0.38 fof(f3060,plain,(
% 0.14/0.38 ~multiply(identity,sk_c8)=sk_c6|~spl0_23|~spl0_19|spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f2673,f72])).
% 0.14/0.38 fof(f3061,plain,(
% 0.14/0.38 ~sk_c8=sk_c6|~spl0_23|~spl0_19|spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f35,f3060])).
% 0.14/0.38 fof(f3062,plain,(
% 0.14/0.38 ~identity=sk_c6|~spl0_23|~spl0_19|spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f1765,f3061])).
% 0.14/0.38 fof(f3063,plain,(
% 0.14/0.38 ~identity=identity|~spl0_6|~spl0_5|~spl0_1|~spl0_23|~spl0_19|spl0_0),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f2698,f3062])).
% 0.14/0.39 fof(f3064,plain,(
% 0.14/0.39 $false|~spl0_6|~spl0_5|~spl0_1|~spl0_23|~spl0_19|spl0_0),
% 0.14/0.39 inference(trivial_equality_resolution,[status(esa)],[f3063])).
% 0.14/0.39 fof(f3065,plain,(
% 0.14/0.39 ~spl0_6|~spl0_5|~spl0_1|~spl0_23|~spl0_19|spl0_0),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f3064])).
% 0.14/0.39 fof(f3114,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c7|~spl0_23|~spl0_19|~spl0_12)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f2673,f137])).
% 0.14/0.39 fof(f3115,plain,(
% 0.14/0.39 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c7|~spl0_23|~spl0_19|~spl0_12)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f191,f3114])).
% 0.14/0.39 fof(f3116,plain,(
% 0.14/0.39 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_6|~spl0_5|~spl0_1|~spl0_23|~spl0_19|~spl0_12)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f2698,f3115])).
% 0.14/0.39 fof(f3117,plain,(
% 0.14/0.39 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_6|~spl0_5|~spl0_1|~spl0_23|~spl0_19|~spl0_12)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f2673,f3116])).
% 0.14/0.39 fof(f3118,plain,(
% 0.14/0.39 ~inverse(identity)=identity|~spl0_6|~spl0_5|~spl0_1|~spl0_23|~spl0_19|~spl0_12),
% 0.14/0.39 inference(destructive_equality_resolution,[status(esa)],[f3117])).
% 0.14/0.39 fof(f3119,plain,(
% 0.14/0.39 $false|~spl0_6|~spl0_5|~spl0_1|~spl0_23|~spl0_19|~spl0_12),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3118,f172])).
% 0.14/0.39 fof(f3120,plain,(
% 0.14/0.39 ~spl0_6|~spl0_5|~spl0_1|~spl0_23|~spl0_19|~spl0_12),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f3119])).
% 0.14/0.39 fof(f3121,plain,(
% 0.14/0.39 ~multiply(identity,sk_c8)=identity|~spl0_23|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7|spl0_22),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f1765,f2640])).
% 0.14/0.39 fof(f3122,plain,(
% 0.14/0.39 ~sk_c8=identity|~spl0_23|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7|spl0_22),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f35,f3121])).
% 0.14/0.39 fof(f3123,plain,(
% 0.14/0.39 ~identity=identity|~spl0_23|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7|spl0_22),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f1765,f3122])).
% 0.14/0.39 fof(f3124,plain,(
% 0.14/0.39 $false|~spl0_23|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7|spl0_22),
% 0.14/0.39 inference(trivial_equality_resolution,[status(esa)],[f3123])).
% 0.14/0.39 fof(f3125,plain,(
% 0.14/0.39 ~spl0_23|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7|spl0_22),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f3124])).
% 0.14/0.39 fof(f3307,plain,(
% 0.14/0.39 spl0_15|~spl0_8|~spl0_9|~spl0_10|~spl0_0|~spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f2632,f727,f106,f115,f124,f70,f97])).
% 0.14/0.39 fof(f3308,plain,(
% 0.14/0.39 ~inverse(identity)=identity|~spl0_23|~spl0_9|~spl0_10|~spl0_14),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f1765,f1936])).
% 0.14/0.39 fof(f3309,plain,(
% 0.14/0.39 ~identity=identity|~spl0_23|~spl0_9|~spl0_10|~spl0_14),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f172,f3308])).
% 0.14/0.39 fof(f3310,plain,(
% 0.14/0.39 $false|~spl0_23|~spl0_9|~spl0_10|~spl0_14),
% 0.14/0.39 inference(trivial_equality_resolution,[status(esa)],[f3309])).
% 0.14/0.39 fof(f3311,plain,(
% 0.14/0.39 ~spl0_23|~spl0_9|~spl0_10|~spl0_14),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f3310])).
% 0.14/0.39 fof(f3312,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f76,f92,f96,f100,f104,f105,f109,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f747,f876,f883,f891,f897,f1764,f1770,f1829,f1833,f1925,f1929,f1931,f2610,f2639,f2646,f3059,f3065,f3120,f3125,f3307,f3311])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.091577 seconds
% 0.14/0.39 % CPU time: 0.320621 seconds
% 0.14/0.39 % Memory used: 48.392 MB
%------------------------------------------------------------------------------