TSTP Solution File: GRP268-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP268-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Tue Apr 30 20:19:55 EDT 2024
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP268-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:19:55 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.18/0.45 % Refutation found
% 0.18/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.45 fof(f1,axiom,(
% 0.18/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f2,axiom,(
% 0.18/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f3,axiom,(
% 0.18/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f7,negated_conjecture,(
% 0.18/0.45 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f10,negated_conjecture,(
% 0.18/0.45 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f11,negated_conjecture,(
% 0.18/0.45 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f12,negated_conjecture,(
% 0.18/0.45 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f13,negated_conjecture,(
% 0.18/0.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f14,negated_conjecture,(
% 0.18/0.45 ( inverse(sk_c2) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f15,negated_conjecture,(
% 0.18/0.45 ( inverse(sk_c2) = sk_c6| inverse(sk_c6) = sk_c7 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f17,negated_conjecture,(
% 0.18/0.45 ( multiply(sk_c6,sk_c4) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f18,negated_conjecture,(
% 0.18/0.45 ( multiply(sk_c6,sk_c4) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f20,negated_conjecture,(
% 0.18/0.45 ( multiply(sk_c3,sk_c6) = sk_c4| inverse(sk_c5) = sk_c8 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f21,negated_conjecture,(
% 0.18/0.45 ( multiply(sk_c3,sk_c6) = sk_c4| inverse(sk_c6) = sk_c7 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f23,negated_conjecture,(
% 0.18/0.45 ( inverse(sk_c3) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f24,negated_conjecture,(
% 0.18/0.45 ( inverse(sk_c3) = sk_c6| inverse(sk_c6) = sk_c7 ) ),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f25,negated_conjecture,(
% 0.18/0.45 (![X2,X3,X4,X5,X1]: (( multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| multiply(X3,sk_c6) != sk_c7| inverse(X3) != sk_c6| multiply(sk_c6,X4) != sk_c7| multiply(X5,sk_c6) != X4| inverse(X5) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| inverse(sk_c6) != sk_c7 ) ))),
% 0.18/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f26,plain,(
% 0.18/0.45 ![X0]: (multiply(identity,X0)=X0)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f1])).
% 0.18/0.45 fof(f27,plain,(
% 0.18/0.45 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f2])).
% 0.18/0.45 fof(f28,plain,(
% 0.18/0.45 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f3])).
% 0.18/0.45 fof(f32,plain,(
% 0.18/0.45 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f7])).
% 0.18/0.45 fof(f35,plain,(
% 0.18/0.45 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f10])).
% 0.18/0.45 fof(f36,plain,(
% 0.18/0.45 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f11])).
% 0.18/0.45 fof(f37,plain,(
% 0.18/0.45 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f12])).
% 0.18/0.45 fof(f38,plain,(
% 0.18/0.45 inverse(sk_c2)=sk_c6|multiply(sk_c5,sk_c8)=sk_c7),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f13])).
% 0.18/0.45 fof(f39,plain,(
% 0.18/0.45 inverse(sk_c2)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f14])).
% 0.18/0.45 fof(f40,plain,(
% 0.18/0.45 inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c7),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f15])).
% 0.18/0.45 fof(f42,plain,(
% 0.18/0.45 multiply(sk_c6,sk_c4)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f17])).
% 0.18/0.45 fof(f43,plain,(
% 0.18/0.45 multiply(sk_c6,sk_c4)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f18])).
% 0.18/0.45 fof(f45,plain,(
% 0.18/0.45 multiply(sk_c3,sk_c6)=sk_c4|inverse(sk_c5)=sk_c8),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f20])).
% 0.18/0.45 fof(f46,plain,(
% 0.18/0.45 multiply(sk_c3,sk_c6)=sk_c4|inverse(sk_c6)=sk_c7),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f21])).
% 0.18/0.45 fof(f48,plain,(
% 0.18/0.45 inverse(sk_c3)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f23])).
% 0.18/0.45 fof(f49,plain,(
% 0.18/0.45 inverse(sk_c3)=sk_c6|inverse(sk_c6)=sk_c7),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f24])).
% 0.18/0.45 fof(f50,plain,(
% 0.18/0.45 (![X1]: (((![X5]: ((![X4]: (((![X3]: (((![X2]: (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))|~multiply(X3,sk_c6)=sk_c7)|~inverse(X3)=sk_c6))|~multiply(sk_c6,X4)=sk_c7)|~multiply(X5,sk_c6)=X4))|~inverse(X5)=sk_c6))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~inverse(sk_c6)=sk_c7),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f25])).
% 0.18/0.45 fof(f51,plain,(
% 0.18/0.45 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(sk_c6,X2)=sk_c7|~multiply(X3,sk_c6)=X2|~inverse(X3)=sk_c6|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(sk_c6)=sk_c7)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f50])).
% 0.18/0.45 fof(f55,plain,(
% 0.18/0.45 spl0_1 <=> multiply(sk_c5,sk_c8)=sk_c7),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f56,plain,(
% 0.18/0.45 multiply(sk_c5,sk_c8)=sk_c7|~spl0_1),
% 0.18/0.45 inference(component_clause,[status(thm)],[f55])).
% 0.18/0.45 fof(f57,plain,(
% 0.18/0.45 ~multiply(sk_c5,sk_c8)=sk_c7|spl0_1),
% 0.18/0.45 inference(component_clause,[status(thm)],[f55])).
% 0.18/0.45 fof(f59,plain,(
% 0.18/0.45 spl0_2 <=> inverse(sk_c5)=sk_c8),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f60,plain,(
% 0.18/0.45 inverse(sk_c5)=sk_c8|~spl0_2),
% 0.18/0.45 inference(component_clause,[status(thm)],[f59])).
% 0.18/0.45 fof(f63,plain,(
% 0.18/0.45 spl0_3 <=> inverse(sk_c6)=sk_c7),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f64,plain,(
% 0.18/0.45 inverse(sk_c6)=sk_c7|~spl0_3),
% 0.18/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.18/0.45 fof(f65,plain,(
% 0.18/0.45 ~inverse(sk_c6)=sk_c7|spl0_3),
% 0.18/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.18/0.45 fof(f67,plain,(
% 0.18/0.45 spl0_4 <=> inverse(sk_c1)=sk_c8),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f68,plain,(
% 0.18/0.45 inverse(sk_c1)=sk_c8|~spl0_4),
% 0.18/0.45 inference(component_clause,[status(thm)],[f67])).
% 0.18/0.45 fof(f70,plain,(
% 0.18/0.45 spl0_4|spl0_1),
% 0.18/0.45 inference(split_clause,[status(thm)],[f32,f67,f55])).
% 0.18/0.45 fof(f73,plain,(
% 0.18/0.45 spl0_5 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f74,plain,(
% 0.18/0.45 multiply(sk_c2,sk_c6)=sk_c7|~spl0_5),
% 0.18/0.45 inference(component_clause,[status(thm)],[f73])).
% 0.18/0.45 fof(f76,plain,(
% 0.18/0.45 spl0_5|spl0_1),
% 0.18/0.45 inference(split_clause,[status(thm)],[f35,f73,f55])).
% 0.18/0.45 fof(f77,plain,(
% 0.18/0.45 spl0_5|spl0_2),
% 0.18/0.45 inference(split_clause,[status(thm)],[f36,f73,f59])).
% 0.18/0.45 fof(f78,plain,(
% 0.18/0.45 spl0_5|spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f37,f73,f63])).
% 0.18/0.45 fof(f79,plain,(
% 0.18/0.45 spl0_6 <=> inverse(sk_c2)=sk_c6),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f80,plain,(
% 0.18/0.45 inverse(sk_c2)=sk_c6|~spl0_6),
% 0.18/0.45 inference(component_clause,[status(thm)],[f79])).
% 0.18/0.45 fof(f82,plain,(
% 0.18/0.45 spl0_6|spl0_1),
% 0.18/0.45 inference(split_clause,[status(thm)],[f38,f79,f55])).
% 0.18/0.45 fof(f83,plain,(
% 0.18/0.45 spl0_6|spl0_2),
% 0.18/0.45 inference(split_clause,[status(thm)],[f39,f79,f59])).
% 0.18/0.45 fof(f84,plain,(
% 0.18/0.45 spl0_6|spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f40,f79,f63])).
% 0.18/0.45 fof(f85,plain,(
% 0.18/0.45 spl0_7 <=> multiply(sk_c6,sk_c4)=sk_c7),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f86,plain,(
% 0.18/0.45 multiply(sk_c6,sk_c4)=sk_c7|~spl0_7),
% 0.18/0.45 inference(component_clause,[status(thm)],[f85])).
% 0.18/0.45 fof(f89,plain,(
% 0.18/0.45 spl0_7|spl0_2),
% 0.18/0.45 inference(split_clause,[status(thm)],[f42,f85,f59])).
% 0.18/0.45 fof(f90,plain,(
% 0.18/0.45 spl0_7|spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f43,f85,f63])).
% 0.18/0.45 fof(f91,plain,(
% 0.18/0.45 spl0_8 <=> multiply(sk_c3,sk_c6)=sk_c4),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f92,plain,(
% 0.18/0.45 multiply(sk_c3,sk_c6)=sk_c4|~spl0_8),
% 0.18/0.45 inference(component_clause,[status(thm)],[f91])).
% 0.18/0.45 fof(f95,plain,(
% 0.18/0.45 spl0_8|spl0_2),
% 0.18/0.45 inference(split_clause,[status(thm)],[f45,f91,f59])).
% 0.18/0.45 fof(f96,plain,(
% 0.18/0.45 spl0_8|spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f46,f91,f63])).
% 0.18/0.45 fof(f97,plain,(
% 0.18/0.45 spl0_9 <=> inverse(sk_c3)=sk_c6),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f98,plain,(
% 0.18/0.45 inverse(sk_c3)=sk_c6|~spl0_9),
% 0.18/0.45 inference(component_clause,[status(thm)],[f97])).
% 0.18/0.45 fof(f101,plain,(
% 0.18/0.45 spl0_9|spl0_2),
% 0.18/0.45 inference(split_clause,[status(thm)],[f48,f97,f59])).
% 0.18/0.45 fof(f102,plain,(
% 0.18/0.45 spl0_9|spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f49,f97,f63])).
% 0.18/0.45 fof(f103,plain,(
% 0.18/0.45 spl0_10 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f104,plain,(
% 0.18/0.45 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_10)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f103])).
% 0.18/0.45 fof(f106,plain,(
% 0.18/0.45 spl0_11 <=> ~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f107,plain,(
% 0.18/0.45 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_11)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f106])).
% 0.18/0.45 fof(f109,plain,(
% 0.18/0.45 spl0_12 <=> ~multiply(sk_c6,X2)=sk_c7|~multiply(X3,sk_c6)=X2|~inverse(X3)=sk_c6),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f110,plain,(
% 0.18/0.45 ![X0,X1]: (~multiply(sk_c6,X0)=sk_c7|~multiply(X1,sk_c6)=X0|~inverse(X1)=sk_c6|~spl0_12)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f109])).
% 0.18/0.45 fof(f112,plain,(
% 0.18/0.45 spl0_10|spl0_11|spl0_12|~spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f51,f103,f106,f109,f63])).
% 0.18/0.45 fof(f113,plain,(
% 0.18/0.45 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c6))=sk_c7|~inverse(X0)=sk_c6|~spl0_12)),
% 0.18/0.45 inference(destructive_equality_resolution,[status(esa)],[f110])).
% 0.18/0.45 fof(f118,plain,(
% 0.18/0.45 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.18/0.45 fof(f119,plain,(
% 0.18/0.45 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f26,f118])).
% 0.18/0.45 fof(f120,plain,(
% 0.18/0.45 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f119,f119])).
% 0.18/0.45 fof(f121,plain,(
% 0.18/0.45 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f27,f119])).
% 0.18/0.45 fof(f123,plain,(
% 0.18/0.45 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f28,f119])).
% 0.18/0.45 fof(f131,plain,(
% 0.18/0.45 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f27,f120])).
% 0.18/0.45 fof(f140,plain,(
% 0.18/0.45 inverse(identity)=identity),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f26,f131])).
% 0.18/0.45 fof(f159,plain,(
% 0.18/0.45 ![X0]: (X0=multiply(X0,identity))),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f120,f121])).
% 0.18/0.45 fof(f160,plain,(
% 0.18/0.45 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f120,f159])).
% 0.18/0.45 fof(f161,plain,(
% 0.18/0.45 ![X0]: (inverse(inverse(X0))=X0)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f159,f160])).
% 0.18/0.45 fof(f212,plain,(
% 0.18/0.45 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f131,f123])).
% 0.18/0.45 fof(f213,plain,(
% 0.18/0.45 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f159,f212])).
% 0.18/0.45 fof(f308,plain,(
% 0.18/0.45 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f213,f213])).
% 0.18/0.45 fof(f309,plain,(
% 0.18/0.45 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f161,f308])).
% 0.18/0.45 fof(f586,plain,(
% 0.18/0.45 inverse(sk_c8)=sk_c5|~spl0_2),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f60,f161])).
% 0.18/0.45 fof(f591,plain,(
% 0.18/0.45 inverse(sk_c6)=sk_c3|~spl0_9),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f98,f161])).
% 0.18/0.45 fof(f596,plain,(
% 0.18/0.45 inverse(sk_c6)=sk_c2|~spl0_6),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f80,f161])).
% 0.18/0.45 fof(f601,plain,(
% 0.18/0.45 inverse(sk_c8)=sk_c1|~spl0_4),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f68,f161])).
% 0.18/0.45 fof(f606,plain,(
% 0.18/0.45 inverse(sk_c7)=sk_c6|~spl0_3),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f64,f161])).
% 0.18/0.45 fof(f624,plain,(
% 0.18/0.45 multiply(sk_c5,sk_c8)=identity|~spl0_2),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f586,f27])).
% 0.18/0.45 fof(f625,plain,(
% 0.18/0.45 sk_c7=identity|~spl0_1|~spl0_2),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f56,f624])).
% 0.18/0.45 fof(f633,plain,(
% 0.18/0.45 sk_c3=sk_c2|~spl0_9|~spl0_6),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f591,f596])).
% 0.18/0.45 fof(f636,plain,(
% 0.18/0.45 sk_c5=sk_c1|~spl0_2|~spl0_4),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f586,f601])).
% 0.18/0.45 fof(f637,plain,(
% 0.18/0.45 inverse(sk_c8)=sk_c1|~spl0_4|~spl0_2),
% 0.18/0.45 inference(backward_demodulation,[status(thm)],[f636,f586])).
% 0.18/0.45 fof(f639,plain,(
% 0.18/0.45 inverse(identity)=sk_c6|~spl0_1|~spl0_2|~spl0_3),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f625,f606])).
% 0.18/0.45 fof(f640,plain,(
% 0.18/0.45 identity=sk_c6|~spl0_1|~spl0_2|~spl0_3),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f140,f639])).
% 0.18/0.45 fof(f650,plain,(
% 0.18/0.45 multiply(sk_c1,sk_c8)=identity|~spl0_4|~spl0_2),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f637,f27])).
% 0.18/0.45 fof(f720,plain,(
% 0.18/0.45 ![X0]: (~multiply(identity,multiply(X0,sk_c6))=sk_c7|~inverse(X0)=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f640,f113])).
% 0.18/0.45 fof(f721,plain,(
% 0.18/0.45 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f26,f720])).
% 0.18/0.45 fof(f722,plain,(
% 0.18/0.45 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f640,f721])).
% 0.18/0.45 fof(f723,plain,(
% 0.18/0.45 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f159,f722])).
% 0.18/0.45 fof(f724,plain,(
% 0.18/0.45 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f625,f723])).
% 0.18/0.45 fof(f725,plain,(
% 0.18/0.45 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f640,f724])).
% 0.18/0.45 fof(f726,plain,(
% 0.18/0.45 ~inverse(identity)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_12),
% 0.18/0.45 inference(destructive_equality_resolution,[status(esa)],[f725])).
% 0.18/0.45 fof(f727,plain,(
% 0.18/0.45 $false|~spl0_1|~spl0_2|~spl0_3|~spl0_12),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f726,f140])).
% 0.18/0.45 fof(f728,plain,(
% 0.18/0.45 ~spl0_1|~spl0_2|~spl0_3|~spl0_12),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f727])).
% 0.18/0.45 fof(f730,plain,(
% 0.18/0.45 ~multiply(sk_c1,sk_c8)=sk_c7|~spl0_2|~spl0_4|spl0_1),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f636,f57])).
% 0.18/0.45 fof(f733,plain,(
% 0.18/0.45 spl0_13 <=> identity=sk_c7),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f734,plain,(
% 0.18/0.45 identity=sk_c7|~spl0_13),
% 0.18/0.45 inference(component_clause,[status(thm)],[f733])).
% 0.18/0.45 fof(f735,plain,(
% 0.18/0.45 ~identity=sk_c7|spl0_13),
% 0.18/0.45 inference(component_clause,[status(thm)],[f733])).
% 0.18/0.45 fof(f736,plain,(
% 0.18/0.45 spl0_14 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f738,plain,(
% 0.18/0.45 ~inverse(inverse(sk_c6))=sk_c6|spl0_14),
% 0.18/0.45 inference(component_clause,[status(thm)],[f736])).
% 0.18/0.45 fof(f739,plain,(
% 0.18/0.45 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~spl0_11),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f27,f107])).
% 0.18/0.45 fof(f740,plain,(
% 0.18/0.45 ~spl0_13|~spl0_14|~spl0_11),
% 0.18/0.45 inference(split_clause,[status(thm)],[f739,f733,f736,f106])).
% 0.18/0.45 fof(f751,plain,(
% 0.18/0.45 ~sk_c6=sk_c6|spl0_14),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f161,f738])).
% 0.18/0.45 fof(f752,plain,(
% 0.18/0.45 $false|spl0_14),
% 0.18/0.45 inference(trivial_equality_resolution,[status(esa)],[f751])).
% 0.18/0.45 fof(f753,plain,(
% 0.18/0.45 spl0_14),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f752])).
% 0.18/0.45 fof(f1584,plain,(
% 0.18/0.45 multiply(sk_c2,sk_c6)=identity|~spl0_6),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f80,f131])).
% 0.18/0.45 fof(f1585,plain,(
% 0.18/0.45 sk_c7=identity|~spl0_5|~spl0_6),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f74,f1584])).
% 0.18/0.45 fof(f1586,plain,(
% 0.18/0.45 $false|spl0_13|~spl0_5|~spl0_6),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1585,f735])).
% 0.18/0.45 fof(f1587,plain,(
% 0.18/0.45 spl0_13|~spl0_5|~spl0_6),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f1586])).
% 0.18/0.45 fof(f1643,plain,(
% 0.18/0.45 ~identity=sk_c7|~spl0_2|~spl0_4|spl0_1),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f650,f730])).
% 0.18/0.45 fof(f1644,plain,(
% 0.18/0.45 ~identity=identity|~spl0_5|~spl0_6|~spl0_2|~spl0_4|spl0_1),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f1585,f1643])).
% 0.18/0.45 fof(f1645,plain,(
% 0.18/0.45 $false|~spl0_5|~spl0_6|~spl0_2|~spl0_4|spl0_1),
% 0.18/0.45 inference(trivial_equality_resolution,[status(esa)],[f1644])).
% 0.18/0.45 fof(f1646,plain,(
% 0.18/0.45 ~spl0_5|~spl0_6|~spl0_2|~spl0_4|spl0_1),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f1645])).
% 0.18/0.45 fof(f1668,plain,(
% 0.18/0.45 spl0_17 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1670,plain,(
% 0.18/0.45 ~inverse(inverse(sk_c8))=sk_c8|spl0_17),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1668])).
% 0.18/0.45 fof(f1671,plain,(
% 0.18/0.45 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_10),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f27,f104])).
% 0.18/0.45 fof(f1672,plain,(
% 0.18/0.45 ~spl0_13|~spl0_17|~spl0_10),
% 0.18/0.45 inference(split_clause,[status(thm)],[f1671,f733,f1668,f103])).
% 0.18/0.45 fof(f1682,plain,(
% 0.18/0.45 ~sk_c8=sk_c8|spl0_17),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f161,f1670])).
% 0.18/0.45 fof(f1683,plain,(
% 0.18/0.45 $false|spl0_17),
% 0.18/0.45 inference(trivial_equality_resolution,[status(esa)],[f1682])).
% 0.18/0.45 fof(f1684,plain,(
% 0.18/0.45 spl0_17),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f1683])).
% 0.18/0.45 fof(f2317,plain,(
% 0.18/0.45 ~identity=identity|~spl0_1|~spl0_2|spl0_13),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f625,f735])).
% 0.18/0.45 fof(f2318,plain,(
% 0.18/0.45 $false|~spl0_1|~spl0_2|spl0_13),
% 0.18/0.45 inference(trivial_equality_resolution,[status(esa)],[f2317])).
% 0.18/0.45 fof(f2319,plain,(
% 0.18/0.45 ~spl0_1|~spl0_2|spl0_13),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2318])).
% 0.18/0.45 fof(f2341,plain,(
% 0.18/0.45 inverse(sk_c6)=sk_c2|~spl0_6|~spl0_9),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f633,f591])).
% 0.18/0.45 fof(f2361,plain,(
% 0.18/0.45 ~sk_c2=sk_c7|~spl0_6|~spl0_9|spl0_3),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f2341,f65])).
% 0.18/0.45 fof(f2362,plain,(
% 0.18/0.45 ~sk_c2=identity|~spl0_13|~spl0_6|~spl0_9|spl0_3),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f734,f2361])).
% 0.18/0.45 fof(f2401,plain,(
% 0.18/0.45 multiply(sk_c6,sk_c4)=identity|~spl0_13|~spl0_7),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f734,f86])).
% 0.18/0.45 fof(f2413,plain,(
% 0.18/0.45 inverse(sk_c6)=multiply(sk_c4,inverse(identity))|~spl0_13|~spl0_7),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f2401,f309])).
% 0.18/0.45 fof(f2414,plain,(
% 0.18/0.45 sk_c2=multiply(sk_c4,inverse(identity))|~spl0_6|~spl0_9|~spl0_13|~spl0_7),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f2341,f2413])).
% 0.18/0.45 fof(f2415,plain,(
% 0.18/0.45 sk_c2=multiply(sk_c4,identity)|~spl0_6|~spl0_9|~spl0_13|~spl0_7),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f140,f2414])).
% 0.18/0.45 fof(f2416,plain,(
% 0.18/0.45 sk_c2=sk_c4|~spl0_6|~spl0_9|~spl0_13|~spl0_7),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f159,f2415])).
% 0.18/0.45 fof(f2428,plain,(
% 0.18/0.45 multiply(sk_c2,sk_c6)=sk_c4|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f633,f92])).
% 0.18/0.45 fof(f2429,plain,(
% 0.18/0.45 multiply(sk_c2,sk_c6)=sk_c2|~spl0_13|~spl0_7|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f2416,f2428])).
% 0.18/0.45 fof(f2442,plain,(
% 0.18/0.45 inverse(sk_c6)=multiply(inverse(sk_c2),sk_c2)|~spl0_13|~spl0_7|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f2429,f213])).
% 0.18/0.45 fof(f2443,plain,(
% 0.18/0.45 sk_c2=multiply(inverse(sk_c2),sk_c2)|~spl0_13|~spl0_7|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f2341,f2442])).
% 0.18/0.45 fof(f2444,plain,(
% 0.18/0.45 sk_c2=identity|~spl0_13|~spl0_7|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f27,f2443])).
% 0.18/0.45 fof(f2445,plain,(
% 0.18/0.45 $false|spl0_3|~spl0_13|~spl0_7|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2444,f2362])).
% 0.18/0.45 fof(f2446,plain,(
% 0.18/0.45 spl0_3|~spl0_13|~spl0_7|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2445])).
% 0.18/0.45 fof(f2447,plain,(
% 0.18/0.45 sk_c6=multiply(inverse(sk_c2),sk_c2)|~spl0_13|~spl0_7|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(paramodulation,[status(thm)],[f2429,f119])).
% 0.18/0.45 fof(f2448,plain,(
% 0.18/0.45 sk_c6=identity|~spl0_13|~spl0_7|~spl0_9|~spl0_6|~spl0_8),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f27,f2447])).
% 0.18/0.45 fof(f2485,plain,(
% 0.18/0.45 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c6))=identity|~inverse(X0)=sk_c6|~spl0_13|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f734,f113])).
% 0.18/0.45 fof(f2871,plain,(
% 0.18/0.45 ![X0]: (~multiply(identity,multiply(X0,sk_c6))=identity|~inverse(X0)=sk_c6|~spl0_7|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f2448,f2485])).
% 0.18/0.45 fof(f2872,plain,(
% 0.18/0.45 ![X0]: (~multiply(X0,sk_c6)=identity|~inverse(X0)=sk_c6|~spl0_7|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f26,f2871])).
% 0.18/0.45 fof(f2873,plain,(
% 0.18/0.45 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c6|~spl0_7|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f2448,f2872])).
% 0.18/0.45 fof(f2874,plain,(
% 0.18/0.45 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_7|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f159,f2873])).
% 0.18/0.45 fof(f2875,plain,(
% 0.18/0.45 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_7|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_12)),
% 0.18/0.45 inference(forward_demodulation,[status(thm)],[f2448,f2874])).
% 0.18/0.45 fof(f2876,plain,(
% 0.18/0.45 ~inverse(identity)=identity|~spl0_7|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_12),
% 0.18/0.45 inference(destructive_equality_resolution,[status(esa)],[f2875])).
% 0.18/0.45 fof(f2877,plain,(
% 0.18/0.45 $false|~spl0_7|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_12),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2876,f140])).
% 0.18/0.45 fof(f2878,plain,(
% 0.18/0.45 ~spl0_7|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_12),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2877])).
% 0.18/0.45 fof(f2879,plain,(
% 0.18/0.45 $false),
% 0.18/0.45 inference(sat_refutation,[status(thm)],[f70,f76,f77,f78,f82,f83,f84,f89,f90,f95,f96,f101,f102,f112,f728,f740,f753,f1587,f1646,f1672,f1684,f2319,f2446,f2878])).
% 0.18/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.48 % Elapsed time: 0.114978 seconds
% 0.18/0.48 % CPU time: 0.740841 seconds
% 0.18/0.48 % Total memory used: 75.041 MB
% 0.18/0.48 % Net memory used: 74.343 MB
%------------------------------------------------------------------------------