TSTP Solution File: FLD061-4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD061-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:16:33 EDT 2024
% Result : Unsatisfiable 94.07s 12.22s
% Output : CNFRefutation 94.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : FLD061-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Apr 29 23:14:32 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 94.07/12.22 % Refutation found
% 94.07/12.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 94.07/12.22 % SZS output start CNFRefutation for theBenchmark
% 94.07/12.22 fof(f5,axiom,(
% 94.07/12.22 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f19,axiom,(
% 94.07/12.22 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f22,axiom,(
% 94.07/12.22 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f23,axiom,(
% 94.07/12.22 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f24,axiom,(
% 94.07/12.22 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f27,hypothesis,(
% 94.07/12.22 defined(a) ),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f28,hypothesis,(
% 94.07/12.22 defined(b) ),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f29,hypothesis,(
% 94.07/12.22 defined(c) ),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f33,negated_conjecture,(
% 94.07/12.22 less_or_equal(a,b) ),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f34,negated_conjecture,(
% 94.07/12.22 less_or_equal(c,d) ),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f35,negated_conjecture,(
% 94.07/12.22 sum(a,c,u) ),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f36,negated_conjecture,(
% 94.07/12.22 sum(d,b,v) ),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f37,negated_conjecture,(
% 94.07/12.22 ~ less_or_equal(u,v) ),
% 94.07/12.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 94.07/12.22 fof(f44,plain,(
% 94.07/12.22 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f5])).
% 94.07/12.22 fof(f64,plain,(
% 94.07/12.22 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 94.07/12.22 inference(miniscoping,[status(esa)],[f19])).
% 94.07/12.22 fof(f65,plain,(
% 94.07/12.22 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f64])).
% 94.07/12.22 fof(f69,plain,(
% 94.07/12.22 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 94.07/12.22 inference(miniscoping,[status(esa)],[f22])).
% 94.07/12.22 fof(f70,plain,(
% 94.07/12.22 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f69])).
% 94.07/12.22 fof(f71,plain,(
% 94.07/12.22 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 94.07/12.22 inference(miniscoping,[status(esa)],[f23])).
% 94.07/12.22 fof(f72,plain,(
% 94.07/12.22 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f71])).
% 94.07/12.22 fof(f73,plain,(
% 94.07/12.22 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 94.07/12.22 inference(miniscoping,[status(esa)],[f24])).
% 94.07/12.22 fof(f74,plain,(
% 94.07/12.22 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f73])).
% 94.07/12.22 fof(f77,plain,(
% 94.07/12.22 defined(a)),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f27])).
% 94.07/12.22 fof(f78,plain,(
% 94.07/12.22 defined(b)),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f28])).
% 94.07/12.22 fof(f79,plain,(
% 94.07/12.22 defined(c)),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f29])).
% 94.07/12.22 fof(f83,plain,(
% 94.07/12.22 less_or_equal(a,b)),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f33])).
% 94.07/12.22 fof(f84,plain,(
% 94.07/12.22 less_or_equal(c,d)),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f34])).
% 94.07/12.22 fof(f85,plain,(
% 94.07/12.22 sum(a,c,u)),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f35])).
% 94.07/12.22 fof(f86,plain,(
% 94.07/12.22 sum(d,b,v)),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f36])).
% 94.07/12.22 fof(f87,plain,(
% 94.07/12.22 ~less_or_equal(u,v)),
% 94.07/12.22 inference(cnf_transformation,[status(esa)],[f37])).
% 94.07/12.22 fof(f115,plain,(
% 94.07/12.22 ![X0]: (less_or_equal(X0,d)|~less_or_equal(X0,c))),
% 94.07/12.22 inference(resolution,[status(thm)],[f70,f84])).
% 94.07/12.22 fof(f116,plain,(
% 94.07/12.22 ![X0]: (less_or_equal(X0,b)|~less_or_equal(X0,a))),
% 94.07/12.22 inference(resolution,[status(thm)],[f70,f83])).
% 94.07/12.22 fof(f131,plain,(
% 94.07/12.22 spl0_4 <=> defined(a)),
% 94.07/12.22 introduced(split_symbol_definition)).
% 94.07/12.22 fof(f133,plain,(
% 94.07/12.22 ~defined(a)|spl0_4),
% 94.07/12.22 inference(component_clause,[status(thm)],[f131])).
% 94.07/12.22 fof(f139,plain,(
% 94.07/12.22 spl0_6 <=> defined(c)),
% 94.07/12.22 introduced(split_symbol_definition)).
% 94.07/12.22 fof(f141,plain,(
% 94.07/12.22 ~defined(c)|spl0_6),
% 94.07/12.22 inference(component_clause,[status(thm)],[f139])).
% 94.07/12.22 fof(f144,plain,(
% 94.07/12.22 ![X0,X1,X2]: (less_or_equal(X0,X1)|~defined(X0)|~defined(X1)|less_or_equal(X2,X0)|~less_or_equal(X2,X1))),
% 94.07/12.22 inference(resolution,[status(thm)],[f72,f70])).
% 94.07/12.22 fof(f145,plain,(
% 94.07/12.22 $false|spl0_6),
% 94.07/12.22 inference(forward_subsumption_resolution,[status(thm)],[f141,f79])).
% 94.07/12.22 fof(f146,plain,(
% 94.07/12.22 spl0_6),
% 94.07/12.22 inference(contradiction_clause,[status(thm)],[f145])).
% 94.07/12.22 fof(f147,plain,(
% 94.07/12.22 $false|spl0_4),
% 94.07/12.22 inference(forward_subsumption_resolution,[status(thm)],[f133,f77])).
% 94.07/12.22 fof(f148,plain,(
% 94.07/12.22 spl0_4),
% 94.07/12.22 inference(contradiction_clause,[status(thm)],[f147])).
% 94.07/12.22 fof(f175,plain,(
% 94.07/12.22 spl0_12 <=> less_or_equal(c,d)),
% 94.07/12.22 introduced(split_symbol_definition)).
% 94.07/12.22 fof(f212,plain,(
% 94.07/12.22 spl0_18 <=> less_or_equal(a,b)),
% 94.07/12.22 introduced(split_symbol_definition)).
% 94.07/12.22 fof(f372,plain,(
% 94.07/12.22 spl0_28 <=> defined(b)),
% 94.07/12.22 introduced(split_symbol_definition)).
% 94.07/12.22 fof(f374,plain,(
% 94.07/12.22 ~defined(b)|spl0_28),
% 94.07/12.22 inference(component_clause,[status(thm)],[f372])).
% 94.07/12.22 fof(f385,plain,(
% 94.07/12.22 $false|spl0_28),
% 94.07/12.22 inference(forward_subsumption_resolution,[status(thm)],[f374,f78])).
% 94.07/12.22 fof(f386,plain,(
% 94.07/12.22 spl0_28),
% 94.07/12.22 inference(contradiction_clause,[status(thm)],[f385])).
% 94.07/12.22 fof(f459,plain,(
% 94.07/12.22 ![X0,X1]: (less_or_equal(X0,v)|~less_or_equal(X1,d)|~sum(X1,b,X0))),
% 94.07/12.22 inference(resolution,[status(thm)],[f74,f86])).
% 94.07/12.22 fof(f510,plain,(
% 94.07/12.22 ![X0,X1,X2]: (less_or_equal(X0,X1)|~defined(X0)|~defined(X1)|less_or_equal(X2,X0)|less_or_equal(X1,X2)|~defined(X1)|~defined(X2))),
% 94.07/12.22 inference(resolution,[status(thm)],[f144,f72])).
% 94.07/12.22 fof(f511,plain,(
% 94.07/12.22 ![X0,X1,X2]: (less_or_equal(X0,X1)|~defined(X0)|~defined(X1)|less_or_equal(X2,X0)|less_or_equal(X1,X2)|~defined(X2))),
% 94.07/12.22 inference(duplicate_literals_removal,[status(esa)],[f510])).
% 94.07/12.22 fof(f728,plain,(
% 94.07/12.22 ![X0]: (less_or_equal(X0,X0)|~defined(X0)|~defined(X0)|less_or_equal(X0,X0)|~defined(X0))),
% 94.07/12.22 inference(factoring,[status(esa)],[f511])).
% 94.07/12.22 fof(f729,plain,(
% 94.07/12.22 ![X0]: (less_or_equal(X0,X0)|~defined(X0))),
% 94.07/12.22 inference(duplicate_literals_removal,[status(esa)],[f728])).
% 94.07/12.22 fof(f953,plain,(
% 94.07/12.22 ~defined(a)|less_or_equal(a,b)),
% 94.07/12.22 inference(resolution,[status(thm)],[f729,f116])).
% 94.07/12.22 fof(f954,plain,(
% 94.07/12.22 ~spl0_4|spl0_18),
% 94.07/12.22 inference(split_clause,[status(thm)],[f953,f131,f212])).
% 94.07/12.22 fof(f963,plain,(
% 94.07/12.22 ~defined(c)|less_or_equal(c,d)),
% 94.07/12.22 inference(resolution,[status(thm)],[f729,f115])).
% 94.07/12.22 fof(f964,plain,(
% 94.07/12.22 ~spl0_6|spl0_12),
% 94.07/12.22 inference(split_clause,[status(thm)],[f963,f139,f175])).
% 94.07/12.22 fof(f1017,plain,(
% 94.07/12.22 spl0_79 <=> ~defined(X0)|less_or_equal(add(X0,b),v)|~less_or_equal(X0,d)),
% 94.07/12.22 introduced(split_symbol_definition)).
% 94.07/12.22 fof(f1018,plain,(
% 94.07/12.22 ![X0]: (~defined(X0)|less_or_equal(add(X0,b),v)|~less_or_equal(X0,d)|~spl0_79)),
% 94.07/12.22 inference(component_clause,[status(thm)],[f1017])).
% 94.07/12.22 fof(f1020,plain,(
% 94.07/12.22 ![X0]: (~defined(X0)|~defined(b)|less_or_equal(add(X0,b),v)|~less_or_equal(X0,d))),
% 94.07/12.22 inference(resolution,[status(thm)],[f65,f459])).
% 94.07/12.22 fof(f1021,plain,(
% 94.07/12.22 spl0_79|~spl0_28),
% 94.07/12.22 inference(split_clause,[status(thm)],[f1020,f1017,f372])).
% 94.07/12.22 fof(f1073,plain,(
% 94.07/12.22 ![X0,X1]: (~defined(X0)|~defined(X1)|sum(X1,X0,add(X0,X1)))),
% 94.07/12.22 inference(resolution,[status(thm)],[f65,f44])).
% 94.07/12.22 fof(f1182,plain,(
% 94.07/12.22 ![X0,X1,X2,X3]: (~defined(X0)|~defined(X1)|less_or_equal(X2,add(X0,X1))|~less_or_equal(X3,X1)|~sum(X3,X0,X2))),
% 94.07/12.22 inference(resolution,[status(thm)],[f1073,f74])).
% 94.07/12.22 fof(f4422,plain,(
% 94.07/12.22 spl0_484 <=> less_or_equal(u,v)),
% 94.07/12.22 introduced(split_symbol_definition)).
% 94.07/12.22 fof(f4423,plain,(
% 94.07/12.22 less_or_equal(u,v)|~spl0_484),
% 94.07/12.22 inference(component_clause,[status(thm)],[f4422])).
% 94.07/12.22 fof(f4459,plain,(
% 94.07/12.22 $false|~spl0_484),
% 94.07/12.22 inference(forward_subsumption_resolution,[status(thm)],[f4423,f87])).
% 94.07/12.22 fof(f4460,plain,(
% 94.07/12.22 ~spl0_484),
% 94.07/12.22 inference(contradiction_clause,[status(thm)],[f4459])).
% 94.07/12.22 fof(f5155,plain,(
% 94.07/12.22 ![X0,X1]: (~defined(X0)|~less_or_equal(X0,d)|less_or_equal(X1,v)|~less_or_equal(X1,add(X0,b))|~spl0_79)),
% 94.07/12.22 inference(resolution,[status(thm)],[f1018,f70])).
% 94.07/12.22 fof(f5445,plain,(
% 94.07/12.22 spl0_619 <=> ~defined(X0)|~less_or_equal(X0,d)|less_or_equal(X1,v)|~defined(X0)|~less_or_equal(X2,b)|~sum(X2,X0,X1)),
% 94.07/12.24 introduced(split_symbol_definition)).
% 94.07/12.24 fof(f5446,plain,(
% 94.07/12.24 ![X0,X1,X2]: (~defined(X0)|~less_or_equal(X0,d)|less_or_equal(X1,v)|~defined(X0)|~less_or_equal(X2,b)|~sum(X2,X0,X1)|~spl0_619)),
% 94.07/12.24 inference(component_clause,[status(thm)],[f5445])).
% 94.07/12.24 fof(f5448,plain,(
% 94.07/12.24 ![X0,X1,X2]: (~defined(X0)|~less_or_equal(X0,d)|less_or_equal(X1,v)|~defined(X0)|~defined(b)|~less_or_equal(X2,b)|~sum(X2,X0,X1)|~spl0_79)),
% 94.07/12.24 inference(resolution,[status(thm)],[f5155,f1182])).
% 94.07/12.24 fof(f5449,plain,(
% 94.07/12.24 spl0_619|~spl0_28|~spl0_79),
% 94.07/12.24 inference(split_clause,[status(thm)],[f5448,f5445,f372,f1017])).
% 94.07/12.24 fof(f5471,plain,(
% 94.07/12.24 ![X0,X1,X2]: (~defined(X0)|~less_or_equal(X0,d)|less_or_equal(X1,v)|~less_or_equal(X2,b)|~sum(X2,X0,X1)|~spl0_619)),
% 94.07/12.24 inference(duplicate_literals_removal,[status(esa)],[f5446])).
% 94.07/12.24 fof(f5507,plain,(
% 94.07/12.24 ~defined(c)|~less_or_equal(c,d)|less_or_equal(u,v)|~less_or_equal(a,b)|~spl0_619),
% 94.07/12.24 inference(resolution,[status(thm)],[f5471,f85])).
% 94.07/12.24 fof(f5508,plain,(
% 94.07/12.24 ~spl0_6|~spl0_12|spl0_484|~spl0_18|~spl0_619),
% 94.07/12.24 inference(split_clause,[status(thm)],[f5507,f139,f175,f4422,f212,f5445])).
% 94.07/12.24 fof(f5559,plain,(
% 94.07/12.24 $false),
% 94.07/12.24 inference(sat_refutation,[status(thm)],[f146,f148,f386,f954,f964,f1021,f4460,f5449,f5508])).
% 94.07/12.24 % SZS output end CNFRefutation for theBenchmark.p
% 94.37/12.30 % Elapsed time: 11.917709 seconds
% 94.37/12.30 % CPU time: 94.619663 seconds
% 94.37/12.30 % Total memory used: 249.537 MB
% 94.37/12.30 % Net memory used: 242.849 MB
%------------------------------------------------------------------------------