TSTP Solution File: FLD014-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Wed May 31 12:06:51 EDT 2023
% Result : Unsatisfiable 9.59s 1.66s
% Output : CNFRefutation 9.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:01:07 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Drodi V3.5.1
% 9.59/1.66 % Refutation found
% 9.59/1.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.59/1.66 % SZS output start CNFRefutation for theBenchmark
% 9.59/1.66 fof(f1,axiom,(
% 9.59/1.66 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f2,axiom,(
% 9.59/1.66 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f3,axiom,(
% 9.59/1.66 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f4,axiom,(
% 9.59/1.66 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f5,axiom,(
% 9.59/1.66 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f14,axiom,(
% 9.59/1.66 defined(additive_identity) ),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f15,axiom,(
% 9.59/1.66 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f27,hypothesis,(
% 9.59/1.66 defined(a) ),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f28,hypothesis,(
% 9.59/1.66 defined(b) ),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f29,negated_conjecture,(
% 9.59/1.66 sum(additive_identity,a,b) ),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f30,negated_conjecture,(
% 9.59/1.66 ~ sum(additive_identity,additive_inverse(a),additive_inverse(b)) ),
% 9.59/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.59/1.66 fof(f31,plain,(
% 9.59/1.66 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 9.59/1.66 inference(miniscoping,[status(esa)],[f1])).
% 9.59/1.66 fof(f32,plain,(
% 9.59/1.66 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f31])).
% 9.59/1.66 fof(f33,plain,(
% 9.59/1.66 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 9.59/1.66 inference(miniscoping,[status(esa)],[f2])).
% 9.59/1.66 fof(f34,plain,(
% 9.59/1.66 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f33])).
% 9.59/1.66 fof(f35,plain,(
% 9.59/1.66 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f3])).
% 9.59/1.66 fof(f36,plain,(
% 9.59/1.66 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f4])).
% 9.59/1.66 fof(f37,plain,(
% 9.59/1.66 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f5])).
% 9.59/1.66 fof(f51,plain,(
% 9.59/1.66 defined(additive_identity)),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f14])).
% 9.59/1.66 fof(f52,plain,(
% 9.59/1.66 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f15])).
% 9.59/1.66 fof(f70,plain,(
% 9.59/1.66 defined(a)),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f27])).
% 9.59/1.66 fof(f71,plain,(
% 9.59/1.66 defined(b)),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f28])).
% 9.59/1.66 fof(f72,plain,(
% 9.59/1.66 sum(additive_identity,a,b)),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f29])).
% 9.59/1.66 fof(f73,plain,(
% 9.59/1.66 ~sum(additive_identity,additive_inverse(a),additive_inverse(b))),
% 9.59/1.66 inference(cnf_transformation,[status(esa)],[f30])).
% 9.59/1.66 fof(f75,plain,(
% 9.59/1.66 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X0,additive_identity,X2)|~sum(X2,a,X1))),
% 9.59/1.66 inference(resolution,[status(thm)],[f32,f72])).
% 9.59/1.66 fof(f80,plain,(
% 9.59/1.66 spl0_0 <=> defined(additive_identity)),
% 9.59/1.66 introduced(split_symbol_definition)).
% 9.59/1.66 fof(f82,plain,(
% 9.59/1.66 ~defined(additive_identity)|spl0_0),
% 9.59/1.66 inference(component_clause,[status(thm)],[f80])).
% 9.59/1.66 fof(f88,plain,(
% 9.59/1.66 spl0_2 <=> defined(a)),
% 9.59/1.66 introduced(split_symbol_definition)).
% 9.59/1.66 fof(f90,plain,(
% 9.59/1.66 ~defined(a)|spl0_2),
% 9.59/1.66 inference(component_clause,[status(thm)],[f88])).
% 9.59/1.66 fof(f96,plain,(
% 9.59/1.66 spl0_4 <=> sum(X0,b,a)|~sum(X0,additive_identity,additive_identity)),
% 9.59/1.66 introduced(split_symbol_definition)).
% 9.59/1.66 fof(f97,plain,(
% 9.59/1.66 ![X0]: (sum(X0,b,a)|~sum(X0,additive_identity,additive_identity)|~spl0_4)),
% 9.59/1.66 inference(component_clause,[status(thm)],[f96])).
% 9.59/1.66 fof(f99,plain,(
% 9.59/1.66 ![X0]: (~defined(a)|sum(X0,b,a)|~sum(X0,additive_identity,additive_identity))),
% 9.59/1.67 inference(resolution,[status(thm)],[f35,f75])).
% 9.59/1.67 fof(f100,plain,(
% 9.59/1.67 ~spl0_2|spl0_4),
% 9.59/1.67 inference(split_clause,[status(thm)],[f99,f88,f96])).
% 9.59/1.67 fof(f102,plain,(
% 9.59/1.67 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,X2,X0)|~sum(X1,X3,additive_identity)|~sum(X3,X0,X2))),
% 9.59/1.67 inference(resolution,[status(thm)],[f35,f32])).
% 9.59/1.67 fof(f105,plain,(
% 9.59/1.67 $false|spl0_0),
% 9.59/1.67 inference(forward_subsumption_resolution,[status(thm)],[f82,f51])).
% 9.59/1.67 fof(f106,plain,(
% 9.59/1.67 spl0_0),
% 9.59/1.67 inference(contradiction_clause,[status(thm)],[f105])).
% 9.59/1.67 fof(f107,plain,(
% 9.59/1.67 $false|spl0_2),
% 9.59/1.67 inference(forward_subsumption_resolution,[status(thm)],[f90,f70])).
% 9.59/1.67 fof(f108,plain,(
% 9.59/1.67 spl0_2),
% 9.59/1.67 inference(contradiction_clause,[status(thm)],[f107])).
% 9.59/1.67 fof(f117,plain,(
% 9.59/1.67 spl0_6 <=> defined(b)),
% 9.59/1.67 introduced(split_symbol_definition)).
% 9.59/1.67 fof(f119,plain,(
% 9.59/1.67 ~defined(b)|spl0_6),
% 9.59/1.67 inference(component_clause,[status(thm)],[f117])).
% 9.59/1.67 fof(f122,plain,(
% 9.59/1.67 $false|spl0_6),
% 9.59/1.67 inference(forward_subsumption_resolution,[status(thm)],[f119,f71])).
% 9.59/1.67 fof(f123,plain,(
% 9.59/1.67 spl0_6),
% 9.59/1.67 inference(contradiction_clause,[status(thm)],[f122])).
% 9.59/1.67 fof(f132,plain,(
% 9.59/1.67 spl0_8 <=> sum(additive_identity,b,a)),
% 9.59/1.67 introduced(split_symbol_definition)).
% 9.59/1.67 fof(f133,plain,(
% 9.59/1.67 sum(additive_identity,b,a)|~spl0_8),
% 9.59/1.67 inference(component_clause,[status(thm)],[f132])).
% 9.59/1.67 fof(f135,plain,(
% 9.59/1.67 sum(additive_identity,b,a)|~defined(additive_identity)|~spl0_4),
% 9.59/1.67 inference(resolution,[status(thm)],[f97,f35])).
% 9.59/1.67 fof(f136,plain,(
% 9.59/1.67 spl0_8|~spl0_0|~spl0_4),
% 9.59/1.67 inference(split_clause,[status(thm)],[f135,f132,f80,f96])).
% 9.59/1.67 fof(f164,plain,(
% 9.59/1.67 sum(a,additive_identity,b)),
% 9.59/1.67 inference(resolution,[status(thm)],[f37,f72])).
% 9.59/1.67 fof(f165,plain,(
% 9.59/1.67 ![X0]: (sum(X0,additive_identity,X0)|~defined(X0))),
% 9.59/1.67 inference(resolution,[status(thm)],[f37,f35])).
% 9.59/1.67 fof(f333,plain,(
% 9.59/1.67 ![X0,X1,X2,X3]: (sum(X0,X1,X2)|~sum(additive_identity,X3,X0)|~sum(X3,X1,X2)|~defined(X2))),
% 9.59/1.67 inference(resolution,[status(thm)],[f34,f35])).
% 9.59/1.67 fof(f432,plain,(
% 9.59/1.67 ![X0,X1]: (sum(a,X0,X1)|~sum(b,X0,X1)|~defined(X1)|~spl0_8)),
% 9.59/1.67 inference(resolution,[status(thm)],[f333,f133])).
% 9.59/1.67 fof(f433,plain,(
% 9.59/1.67 ![X0,X1]: (sum(b,X0,X1)|~sum(a,X0,X1)|~defined(X1))),
% 9.59/1.67 inference(resolution,[status(thm)],[f333,f72])).
% 9.59/1.67 fof(f536,plain,(
% 9.59/1.67 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,X2,X0)|~sum(X1,X3,X0)|~sum(X3,additive_identity,X2))),
% 9.59/1.67 inference(resolution,[status(thm)],[f165,f32])).
% 9.59/1.67 fof(f666,plain,(
% 9.59/1.67 ![X0,X1]: (~defined(X0)|sum(X1,b,X0)|~sum(X1,a,X0))),
% 9.59/1.67 inference(resolution,[status(thm)],[f536,f164])).
% 9.59/1.67 fof(f835,plain,(
% 9.59/1.67 spl0_84 <=> sum(additive_inverse(a),b,additive_identity)),
% 9.59/1.67 introduced(split_symbol_definition)).
% 9.59/1.67 fof(f836,plain,(
% 9.59/1.67 sum(additive_inverse(a),b,additive_identity)|~spl0_84),
% 9.59/1.67 inference(component_clause,[status(thm)],[f835])).
% 9.59/1.67 fof(f838,plain,(
% 9.59/1.67 ~defined(a)|~defined(additive_identity)|sum(additive_inverse(a),b,additive_identity)),
% 9.59/1.67 inference(resolution,[status(thm)],[f36,f666])).
% 9.59/1.67 fof(f839,plain,(
% 9.59/1.67 ~spl0_2|~spl0_0|spl0_84),
% 9.59/1.67 inference(split_clause,[status(thm)],[f838,f88,f80,f835])).
% 9.59/1.67 fof(f899,plain,(
% 9.59/1.67 ![X0]: (~defined(X0)|sum(X0,additive_inverse(X0),additive_identity))),
% 9.59/1.67 inference(resolution,[status(thm)],[f36,f37])).
% 9.59/1.67 fof(f954,plain,(
% 9.59/1.67 spl0_101 <=> sum(a,additive_inverse(b),additive_identity)),
% 9.59/1.67 introduced(split_symbol_definition)).
% 9.59/1.67 fof(f955,plain,(
% 9.59/1.67 sum(a,additive_inverse(b),additive_identity)|~spl0_101),
% 9.59/1.67 inference(component_clause,[status(thm)],[f954])).
% 9.59/1.67 fof(f957,plain,(
% 9.59/1.67 ~defined(b)|sum(a,additive_inverse(b),additive_identity)|~defined(additive_identity)|~spl0_8),
% 9.59/1.67 inference(resolution,[status(thm)],[f899,f432])).
% 9.59/1.67 fof(f958,plain,(
% 9.59/1.67 ~spl0_6|spl0_101|~spl0_0|~spl0_8),
% 9.59/1.67 inference(split_clause,[status(thm)],[f957,f117,f954,f80,f132])).
% 9.59/1.67 fof(f969,plain,(
% 9.59/1.67 spl0_104 <=> defined(additive_inverse(b))),
% 9.59/1.67 introduced(split_symbol_definition)).
% 9.59/1.67 fof(f971,plain,(
% 9.59/1.67 ~defined(additive_inverse(b))|spl0_104),
% 9.59/1.67 inference(component_clause,[status(thm)],[f969])).
% 9.59/1.67 fof(f1082,plain,(
% 9.59/1.67 ![X0,X1]: (~defined(X0)|sum(additive_inverse(a),X1,X0)|~sum(b,X0,X1)|~spl0_84)),
% 9.59/1.67 inference(resolution,[status(thm)],[f836,f102])).
% 9.59/1.67 fof(f1268,plain,(
% 9.59/1.67 spl0_130 <=> sum(b,additive_inverse(b),additive_identity)),
% 9.59/1.67 introduced(split_symbol_definition)).
% 9.59/1.67 fof(f1271,plain,(
% 9.59/1.67 sum(b,additive_inverse(b),additive_identity)|~defined(additive_identity)|~spl0_101),
% 9.59/1.67 inference(resolution,[status(thm)],[f955,f433])).
% 9.59/1.67 fof(f1272,plain,(
% 9.59/1.67 spl0_130|~spl0_0|~spl0_101),
% 9.59/1.67 inference(split_clause,[status(thm)],[f1271,f1268,f80,f954])).
% 9.59/1.67 fof(f1296,plain,(
% 9.59/1.67 ~defined(b)|spl0_104),
% 9.59/1.67 inference(resolution,[status(thm)],[f971,f52])).
% 9.59/1.67 fof(f1297,plain,(
% 9.59/1.67 ~spl0_6|spl0_104),
% 9.59/1.67 inference(split_clause,[status(thm)],[f1296,f117,f969])).
% 9.59/1.67 fof(f2365,plain,(
% 9.59/1.67 ![X0,X1]: (~defined(X0)|~sum(b,X0,X1)|sum(X1,additive_inverse(a),X0)|~spl0_84)),
% 9.59/1.67 inference(resolution,[status(thm)],[f1082,f37])).
% 9.59/1.67 fof(f3643,plain,(
% 9.59/1.67 ~defined(additive_inverse(b))|~sum(b,additive_inverse(b),additive_identity)|~spl0_84),
% 9.59/1.67 inference(resolution,[status(thm)],[f2365,f73])).
% 9.59/1.67 fof(f3644,plain,(
% 9.59/1.67 ~spl0_104|~spl0_130|~spl0_84),
% 9.59/1.67 inference(split_clause,[status(thm)],[f3643,f969,f1268,f835])).
% 9.59/1.67 fof(f3728,plain,(
% 9.59/1.67 $false),
% 9.59/1.67 inference(sat_refutation,[status(thm)],[f100,f106,f108,f123,f136,f839,f958,f1272,f1297,f3644])).
% 9.59/1.67 % SZS output end CNFRefutation for theBenchmark.p
% 10.08/1.68 % Elapsed time: 1.362781 seconds
% 10.08/1.68 % CPU time: 10.140970 seconds
% 10.08/1.68 % Memory used: 66.998 MB
%------------------------------------------------------------------------------