TSTP Solution File: FLD071-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:16:37 EDT 2024
% Result : Unsatisfiable 0.11s 0.61s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n007.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 23:13:47 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.11/0.61 % Refutation found
% 0.11/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.61 fof(f3,axiom,(
% 0.11/0.61 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f17,axiom,(
% 0.11/0.61 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f18,axiom,(
% 0.11/0.61 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f20,axiom,(
% 0.11/0.61 (![Y,Z]: (( less_or_equal(additive_identity,multiply(Y,Z))| ~ less_or_equal(additive_identity,Y)| ~ less_or_equal(additive_identity,Z) ) ))),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f22,axiom,(
% 0.11/0.61 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f23,axiom,(
% 0.11/0.61 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f26,axiom,(
% 0.11/0.61 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f30,hypothesis,(
% 0.11/0.61 defined(u) ),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f31,negated_conjecture,(
% 0.11/0.61 less_or_equal(additive_identity,a) ),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f32,negated_conjecture,(
% 0.11/0.61 less_or_equal(additive_identity,b) ),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f33,negated_conjecture,(
% 0.11/0.61 equalish(multiply(a,b),u) ),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f34,negated_conjecture,(
% 0.11/0.61 ~ less_or_equal(additive_identity,u) ),
% 0.11/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f38,plain,(
% 0.11/0.61 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.61 fof(f58,plain,(
% 0.11/0.61 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.11/0.61 inference(miniscoping,[status(esa)],[f17])).
% 0.11/0.61 fof(f59,plain,(
% 0.11/0.61 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f58])).
% 0.11/0.61 fof(f60,plain,(
% 0.11/0.61 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 0.11/0.61 inference(miniscoping,[status(esa)],[f18])).
% 0.11/0.61 fof(f61,plain,(
% 0.11/0.61 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f60])).
% 0.11/0.61 fof(f64,plain,(
% 0.11/0.61 ![Z]: ((![Y]: (less_or_equal(additive_identity,multiply(Y,Z))|~less_or_equal(additive_identity,Y)))|~less_or_equal(additive_identity,Z))),
% 0.11/0.61 inference(miniscoping,[status(esa)],[f20])).
% 0.11/0.61 fof(f65,plain,(
% 0.11/0.61 ![X0,X1]: (less_or_equal(additive_identity,multiply(X0,X1))|~less_or_equal(additive_identity,X0)|~less_or_equal(additive_identity,X1))),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f64])).
% 0.11/0.61 fof(f67,plain,(
% 0.11/0.61 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f22])).
% 0.11/0.61 fof(f68,plain,(
% 0.11/0.61 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.11/0.61 inference(miniscoping,[status(esa)],[f23])).
% 0.11/0.61 fof(f69,plain,(
% 0.11/0.61 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f68])).
% 0.11/0.61 fof(f74,plain,(
% 0.11/0.61 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 0.11/0.61 inference(miniscoping,[status(esa)],[f26])).
% 0.11/0.61 fof(f75,plain,(
% 0.11/0.61 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f74])).
% 0.11/0.61 fof(f79,plain,(
% 0.11/0.61 defined(u)),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.61 fof(f80,plain,(
% 0.11/0.61 less_or_equal(additive_identity,a)),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.61 fof(f81,plain,(
% 0.11/0.61 less_or_equal(additive_identity,b)),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.61 fof(f82,plain,(
% 0.11/0.61 equalish(multiply(a,b),u)),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f33])).
% 0.11/0.61 fof(f83,plain,(
% 0.11/0.61 ~less_or_equal(additive_identity,u)),
% 0.11/0.61 inference(cnf_transformation,[status(esa)],[f34])).
% 0.11/0.61 fof(f85,plain,(
% 0.11/0.61 ![X0]: (~less_or_equal(X0,u)|~equalish(X0,additive_identity))),
% 0.11/0.61 inference(resolution,[status(thm)],[f75,f83])).
% 0.11/0.61 fof(f87,plain,(
% 0.11/0.61 ![X0,X1]: (~equalish(X0,additive_identity)|~less_or_equal(X0,X1)|~less_or_equal(X1,u))),
% 0.11/0.61 inference(resolution,[status(thm)],[f85,f59])).
% 0.11/0.61 fof(f94,plain,(
% 0.11/0.61 spl0_2 <=> defined(u)),
% 0.11/0.61 introduced(split_symbol_definition)).
% 0.11/0.61 fof(f96,plain,(
% 0.11/0.61 ~defined(u)|spl0_2),
% 0.11/0.61 inference(component_clause,[status(thm)],[f94])).
% 0.11/0.61 fof(f104,plain,(
% 0.11/0.61 $false|spl0_2),
% 0.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f96,f79])).
% 0.11/0.61 fof(f105,plain,(
% 0.11/0.61 spl0_2),
% 0.11/0.61 inference(contradiction_clause,[status(thm)],[f104])).
% 0.11/0.61 fof(f116,plain,(
% 0.11/0.61 spl0_6 <=> ~equalish(additive_identity,X0)|~equalish(X0,additive_identity)),
% 0.11/0.61 introduced(split_symbol_definition)).
% 0.11/0.61 fof(f117,plain,(
% 0.11/0.61 ![X0]: (~equalish(additive_identity,X0)|~equalish(X0,additive_identity)|~spl0_6)),
% 0.11/0.61 inference(component_clause,[status(thm)],[f116])).
% 0.11/0.61 fof(f128,plain,(
% 0.11/0.61 spl0_8 <=> equalish(additive_identity,additive_identity)),
% 0.11/0.61 introduced(split_symbol_definition)).
% 0.11/0.61 fof(f130,plain,(
% 0.11/0.61 ~equalish(additive_identity,additive_identity)|spl0_8),
% 0.11/0.61 inference(component_clause,[status(thm)],[f128])).
% 0.11/0.61 fof(f175,plain,(
% 0.11/0.61 spl0_15 <=> less_or_equal(u,u)),
% 0.11/0.61 introduced(split_symbol_definition)).
% 0.11/0.61 fof(f177,plain,(
% 0.11/0.61 ~less_or_equal(u,u)|spl0_15),
% 0.11/0.61 inference(component_clause,[status(thm)],[f175])).
% 0.11/0.61 fof(f198,plain,(
% 0.11/0.61 ![X0,X1,X2]: (~equalish(X0,additive_identity)|~less_or_equal(X0,X1)|~less_or_equal(X2,u)|~equalish(X2,X1))),
% 0.11/0.61 inference(resolution,[status(thm)],[f87,f75])).
% 0.11/0.61 fof(f464,plain,(
% 0.11/0.61 ![X0,X1,X2]: (~equalish(X0,additive_identity)|~less_or_equal(X0,X1)|~less_or_equal(X2,u)|~equalish(X1,X2))),
% 0.11/0.61 inference(resolution,[status(thm)],[f198,f67])).
% 0.11/0.61 fof(f739,plain,(
% 0.11/0.61 spl0_69 <=> ~equalish(X0,additive_identity)|~less_or_equal(X0,multiply(a,b))),
% 0.11/0.61 introduced(split_symbol_definition)).
% 0.11/0.61 fof(f740,plain,(
% 0.11/0.61 ![X0]: (~equalish(X0,additive_identity)|~less_or_equal(X0,multiply(a,b))|~spl0_69)),
% 0.11/0.61 inference(component_clause,[status(thm)],[f739])).
% 0.11/0.61 fof(f742,plain,(
% 0.11/0.61 ![X0]: (~equalish(X0,additive_identity)|~less_or_equal(X0,multiply(a,b))|~less_or_equal(u,u))),
% 0.11/0.61 inference(resolution,[status(thm)],[f464,f82])).
% 0.11/0.61 fof(f743,plain,(
% 0.11/0.61 spl0_69|~spl0_15),
% 0.11/0.61 inference(split_clause,[status(thm)],[f742,f739,f175])).
% 0.11/0.61 fof(f868,plain,(
% 0.11/0.61 ![X0]: (~equalish(X0,additive_identity)|~spl0_6)),
% 0.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f117,f67])).
% 0.11/0.61 fof(f869,plain,(
% 0.11/0.61 ![X0]: (~defined(X0)|~spl0_6)),
% 0.11/0.61 inference(backward_subsumption_resolution,[status(thm)],[f38,f868])).
% 0.11/0.61 fof(f872,plain,(
% 0.11/0.61 $false|~spl0_6),
% 0.11/0.61 inference(backward_subsumption_resolution,[status(thm)],[f79,f869])).
% 0.11/0.61 fof(f873,plain,(
% 0.11/0.61 ~spl0_6),
% 0.11/0.61 inference(contradiction_clause,[status(thm)],[f872])).
% 0.11/0.61 fof(f881,plain,(
% 0.11/0.61 ![X0]: (~equalish(additive_identity,X0)|~equalish(X0,additive_identity)|spl0_8)),
% 0.11/0.61 inference(resolution,[status(thm)],[f130,f69])).
% 0.11/0.61 fof(f882,plain,(
% 0.11/0.61 spl0_6|spl0_8),
% 0.11/0.61 inference(split_clause,[status(thm)],[f881,f116,f128])).
% 0.11/0.61 fof(f957,plain,(
% 0.11/0.61 spl0_87 <=> less_or_equal(additive_identity,a)),
% 0.11/0.61 introduced(split_symbol_definition)).
% 0.11/0.61 fof(f959,plain,(
% 0.11/0.61 ~less_or_equal(additive_identity,a)|spl0_87),
% 0.11/0.61 inference(component_clause,[status(thm)],[f957])).
% 0.11/0.61 fof(f960,plain,(
% 0.11/0.61 spl0_88 <=> less_or_equal(additive_identity,b)),
% 0.11/0.61 introduced(split_symbol_definition)).
% 0.11/0.61 fof(f962,plain,(
% 0.11/0.61 ~less_or_equal(additive_identity,b)|spl0_88),
% 0.11/0.61 inference(component_clause,[status(thm)],[f960])).
% 0.11/0.61 fof(f963,plain,(
% 0.11/0.61 ~equalish(additive_identity,additive_identity)|~less_or_equal(additive_identity,a)|~less_or_equal(additive_identity,b)|~spl0_69),
% 0.11/0.61 inference(resolution,[status(thm)],[f740,f65])).
% 0.11/0.61 fof(f964,plain,(
% 0.11/0.61 ~spl0_8|~spl0_87|~spl0_88|~spl0_69),
% 0.11/0.61 inference(split_clause,[status(thm)],[f963,f128,f957,f960,f739])).
% 0.11/0.61 fof(f967,plain,(
% 0.11/0.61 $false|spl0_87),
% 0.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f959,f80])).
% 0.11/0.61 fof(f968,plain,(
% 0.11/0.61 spl0_87),
% 0.11/0.61 inference(contradiction_clause,[status(thm)],[f967])).
% 0.11/0.63 fof(f969,plain,(
% 0.11/0.63 $false|spl0_88),
% 0.11/0.63 inference(forward_subsumption_resolution,[status(thm)],[f962,f81])).
% 0.11/0.63 fof(f970,plain,(
% 0.11/0.63 spl0_88),
% 0.11/0.63 inference(contradiction_clause,[status(thm)],[f969])).
% 0.11/0.63 fof(f976,plain,(
% 0.11/0.63 spl0_89 <=> equalish(u,u)),
% 0.11/0.63 introduced(split_symbol_definition)).
% 0.11/0.63 fof(f978,plain,(
% 0.11/0.63 ~equalish(u,u)|spl0_89),
% 0.11/0.63 inference(component_clause,[status(thm)],[f976])).
% 0.11/0.63 fof(f1016,plain,(
% 0.11/0.63 ![X0]: (~equalish(u,X0)|~equalish(X0,u)|spl0_89)),
% 0.11/0.63 inference(resolution,[status(thm)],[f978,f69])).
% 0.11/0.63 fof(f1017,plain,(
% 0.11/0.63 ![X0]: (~equalish(X0,u)|spl0_89)),
% 0.11/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1016,f67])).
% 0.11/0.63 fof(f1021,plain,(
% 0.11/0.63 $false|spl0_89),
% 0.11/0.63 inference(backward_subsumption_resolution,[status(thm)],[f82,f1017])).
% 0.11/0.63 fof(f1022,plain,(
% 0.11/0.63 spl0_89),
% 0.11/0.63 inference(contradiction_clause,[status(thm)],[f1021])).
% 0.11/0.63 fof(f1293,plain,(
% 0.11/0.63 less_or_equal(u,u)|~defined(u)|~defined(u)|spl0_15),
% 0.11/0.63 inference(resolution,[status(thm)],[f61,f177])).
% 0.11/0.63 fof(f1294,plain,(
% 0.11/0.63 spl0_15|~spl0_2),
% 0.11/0.63 inference(split_clause,[status(thm)],[f1293,f175,f94])).
% 0.11/0.63 fof(f1356,plain,(
% 0.11/0.63 $false),
% 0.11/0.63 inference(sat_refutation,[status(thm)],[f105,f743,f873,f882,f964,f968,f970,f1022,f1294])).
% 0.11/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 2.56/0.63 % Elapsed time: 0.362576 seconds
% 2.56/0.63 % CPU time: 2.765922 seconds
% 2.56/0.63 % Total memory used: 32.866 MB
% 2.56/0.63 % Net memory used: 31.260 MB
%------------------------------------------------------------------------------