TSTP Solution File: FLD060-4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD060-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 8.31s 1.42s
% Output : CNFRefutation 8.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : FLD060-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n022.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 23:15:28 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 8.31/1.42 % Refutation found
% 8.31/1.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.31/1.42 % SZS output start CNFRefutation for theBenchmark
% 8.31/1.42 fof(f5,axiom,(
% 8.31/1.42 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f19,axiom,(
% 8.31/1.42 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f22,axiom,(
% 8.31/1.42 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f23,axiom,(
% 8.31/1.42 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f24,axiom,(
% 8.31/1.42 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f27,hypothesis,(
% 8.31/1.42 defined(a) ),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f28,hypothesis,(
% 8.31/1.42 defined(b) ),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f29,hypothesis,(
% 8.31/1.42 defined(u) ),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f30,hypothesis,(
% 8.31/1.42 defined(v) ),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f31,negated_conjecture,(
% 8.31/1.42 less_or_equal(a,b) ),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f32,negated_conjecture,(
% 8.31/1.42 sum(a,a,u) ),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f33,negated_conjecture,(
% 8.31/1.42 sum(b,b,v) ),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f34,negated_conjecture,(
% 8.31/1.42 ~ less_or_equal(u,v) ),
% 8.31/1.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.31/1.42 fof(f41,plain,(
% 8.31/1.42 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f5])).
% 8.31/1.42 fof(f61,plain,(
% 8.31/1.42 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 8.31/1.42 inference(miniscoping,[status(esa)],[f19])).
% 8.31/1.42 fof(f62,plain,(
% 8.31/1.42 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f61])).
% 8.31/1.42 fof(f66,plain,(
% 8.31/1.42 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 8.31/1.42 inference(miniscoping,[status(esa)],[f22])).
% 8.31/1.42 fof(f67,plain,(
% 8.31/1.42 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f66])).
% 8.31/1.42 fof(f68,plain,(
% 8.31/1.42 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 8.31/1.42 inference(miniscoping,[status(esa)],[f23])).
% 8.31/1.42 fof(f69,plain,(
% 8.31/1.42 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f68])).
% 8.31/1.42 fof(f70,plain,(
% 8.31/1.42 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 8.31/1.42 inference(miniscoping,[status(esa)],[f24])).
% 8.31/1.42 fof(f71,plain,(
% 8.31/1.42 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f70])).
% 8.31/1.42 fof(f74,plain,(
% 8.31/1.42 defined(a)),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f27])).
% 8.31/1.42 fof(f75,plain,(
% 8.31/1.42 defined(b)),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f28])).
% 8.31/1.42 fof(f76,plain,(
% 8.31/1.42 defined(u)),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f29])).
% 8.31/1.42 fof(f77,plain,(
% 8.31/1.42 defined(v)),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f30])).
% 8.31/1.42 fof(f78,plain,(
% 8.31/1.42 less_or_equal(a,b)),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f31])).
% 8.31/1.42 fof(f79,plain,(
% 8.31/1.42 sum(a,a,u)),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f32])).
% 8.31/1.42 fof(f80,plain,(
% 8.31/1.42 sum(b,b,v)),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f33])).
% 8.31/1.42 fof(f81,plain,(
% 8.31/1.42 ~less_or_equal(u,v)),
% 8.31/1.42 inference(cnf_transformation,[status(esa)],[f34])).
% 8.31/1.42 fof(f84,plain,(
% 8.31/1.42 spl0_0 <=> less_or_equal(v,u)),
% 8.31/1.42 introduced(split_symbol_definition)).
% 8.31/1.42 fof(f85,plain,(
% 8.31/1.42 less_or_equal(v,u)|~spl0_0),
% 8.31/1.42 inference(component_clause,[status(thm)],[f84])).
% 8.31/1.42 fof(f87,plain,(
% 8.31/1.42 spl0_1 <=> defined(v)),
% 8.31/1.42 introduced(split_symbol_definition)).
% 8.31/1.42 fof(f89,plain,(
% 8.31/1.42 ~defined(v)|spl0_1),
% 8.31/1.42 inference(component_clause,[status(thm)],[f87])).
% 8.31/1.42 fof(f90,plain,(
% 8.31/1.42 spl0_2 <=> defined(u)),
% 8.31/1.42 introduced(split_symbol_definition)).
% 8.31/1.42 fof(f92,plain,(
% 8.31/1.42 ~defined(u)|spl0_2),
% 8.31/1.42 inference(component_clause,[status(thm)],[f90])).
% 8.31/1.42 fof(f93,plain,(
% 8.31/1.42 less_or_equal(v,u)|~defined(v)|~defined(u)),
% 8.31/1.42 inference(resolution,[status(thm)],[f69,f81])).
% 8.31/1.42 fof(f94,plain,(
% 8.31/1.42 spl0_0|~spl0_1|~spl0_2),
% 8.31/1.42 inference(split_clause,[status(thm)],[f93,f84,f87,f90])).
% 8.31/1.42 fof(f101,plain,(
% 8.31/1.42 $false|spl0_2),
% 8.31/1.42 inference(forward_subsumption_resolution,[status(thm)],[f92,f76])).
% 8.31/1.42 fof(f102,plain,(
% 8.31/1.42 spl0_2),
% 8.31/1.42 inference(contradiction_clause,[status(thm)],[f101])).
% 8.31/1.42 fof(f103,plain,(
% 8.31/1.42 $false|spl0_1),
% 8.31/1.42 inference(forward_subsumption_resolution,[status(thm)],[f89,f77])).
% 8.31/1.42 fof(f104,plain,(
% 8.31/1.42 spl0_1),
% 8.31/1.42 inference(contradiction_clause,[status(thm)],[f103])).
% 8.31/1.42 fof(f107,plain,(
% 8.31/1.42 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(b,X2,X1))),
% 8.31/1.42 inference(resolution,[status(thm)],[f71,f78])).
% 8.31/1.42 fof(f110,plain,(
% 8.31/1.42 ![X0]: (less_or_equal(X0,v)|~sum(a,b,X0))),
% 8.31/1.42 inference(resolution,[status(thm)],[f107,f80])).
% 8.31/1.42 fof(f135,plain,(
% 8.31/1.42 ![X0,X1,X2]: (~sum(X0,b,X1)|less_or_equal(X2,X1)|~sum(a,X0,X2))),
% 8.31/1.42 inference(resolution,[status(thm)],[f41,f107])).
% 8.31/1.42 fof(f144,plain,(
% 8.31/1.42 ![X0,X1,X2]: (~sum(X0,b,X1)|less_or_equal(X2,X1)|~sum(X0,a,X2))),
% 8.31/1.42 inference(resolution,[status(thm)],[f135,f41])).
% 8.31/1.42 fof(f196,plain,(
% 8.31/1.42 ![X0]: (less_or_equal(X0,u)|~less_or_equal(X0,v)|~spl0_0)),
% 8.31/1.42 inference(resolution,[status(thm)],[f85,f67])).
% 8.31/1.42 fof(f225,plain,(
% 8.31/1.42 ![X0,X1]: (~less_or_equal(X0,v)|less_or_equal(X0,X1)|~less_or_equal(u,X1)|~spl0_0)),
% 8.31/1.42 inference(resolution,[status(thm)],[f196,f67])).
% 8.31/1.42 fof(f233,plain,(
% 8.31/1.42 ![X0,X1,X2]: (~less_or_equal(X0,v)|~less_or_equal(u,X1)|less_or_equal(X2,X1)|~less_or_equal(X2,X0)|~spl0_0)),
% 8.31/1.42 inference(resolution,[status(thm)],[f225,f67])).
% 8.31/1.42 fof(f236,plain,(
% 8.31/1.42 spl0_11 <=> ~less_or_equal(X0,v)|~less_or_equal(u,X0)),
% 8.31/1.42 introduced(split_symbol_definition)).
% 8.31/1.42 fof(f237,plain,(
% 8.31/1.42 ![X0]: (~less_or_equal(X0,v)|~less_or_equal(u,X0)|~spl0_11)),
% 8.31/1.42 inference(component_clause,[status(thm)],[f236])).
% 8.31/1.42 fof(f245,plain,(
% 8.31/1.42 ![X0,X1,X2,X3]: (~less_or_equal(X0,v)|~less_or_equal(u,X1)|~less_or_equal(X2,X0)|less_or_equal(X2,X3)|~less_or_equal(X1,X3)|~spl0_0)),
% 8.31/1.42 inference(resolution,[status(thm)],[f233,f67])).
% 8.31/1.42 fof(f323,plain,(
% 8.31/1.42 ![X0,X1]: (~less_or_equal(X0,v)|~sum(X1,b,X0)|~sum(X1,a,u)|~spl0_11)),
% 8.31/1.42 inference(resolution,[status(thm)],[f237,f144])).
% 8.31/1.42 fof(f405,plain,(
% 8.31/1.42 ![X0,X1]: (~less_or_equal(X0,v)|~less_or_equal(u,X1)|~less_or_equal(u,X0)|~less_or_equal(X1,v)|~spl0_0)),
% 8.31/1.42 inference(resolution,[status(thm)],[f245,f81])).
% 8.31/1.42 fof(f406,plain,(
% 8.31/1.42 spl0_11|~spl0_0),
% 8.31/1.42 inference(split_clause,[status(thm)],[f405,f236,f84])).
% 8.31/1.42 fof(f2051,plain,(
% 8.31/1.42 ![X0]: (sum(X0,b,add(X0,b))|~defined(X0))),
% 8.31/1.42 inference(resolution,[status(thm)],[f62,f75])).
% 8.31/1.42 fof(f3250,plain,(
% 8.31/1.42 ![X0]: (~less_or_equal(X0,v)|~sum(a,b,X0)|~spl0_11)),
% 8.31/1.42 inference(resolution,[status(thm)],[f323,f79])).
% 8.31/1.42 fof(f3251,plain,(
% 8.31/1.42 ![X0]: (~sum(a,b,X0)|~spl0_11)),
% 8.31/1.42 inference(forward_subsumption_resolution,[status(thm)],[f3250,f110])).
% 8.31/1.42 fof(f3447,plain,(
% 8.31/1.42 sum(a,b,add(a,b))),
% 8.31/1.42 inference(resolution,[status(thm)],[f2051,f74])).
% 8.31/1.43 fof(f3448,plain,(
% 8.31/1.43 $false|~spl0_11),
% 8.31/1.43 inference(forward_subsumption_resolution,[status(thm)],[f3447,f3251])).
% 8.31/1.43 fof(f3449,plain,(
% 8.31/1.43 ~spl0_11),
% 8.31/1.43 inference(contradiction_clause,[status(thm)],[f3448])).
% 8.31/1.43 fof(f3450,plain,(
% 8.31/1.43 $false),
% 8.31/1.43 inference(sat_refutation,[status(thm)],[f94,f102,f104,f406,f3449])).
% 8.31/1.43 % SZS output end CNFRefutation for theBenchmark.p
% 8.53/1.44 % Elapsed time: 1.097097 seconds
% 8.53/1.44 % CPU time: 8.551117 seconds
% 8.53/1.44 % Total memory used: 61.736 MB
% 8.53/1.44 % Net memory used: 59.749 MB
%------------------------------------------------------------------------------