TSTP Solution File: FLD014-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n016.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 20:16:20 EDT 2024
% Result : Unsatisfiable 4.85s 0.89s
% Output : CNFRefutation 4.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n016.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Mon Apr 29 23:54:40 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % Drodi V3.6.0
% 4.85/0.89 % Refutation found
% 4.85/0.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.85/0.89 % SZS output start CNFRefutation for theBenchmark
% 4.85/0.89 fof(f1,axiom,(
% 4.85/0.89 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f2,axiom,(
% 4.85/0.89 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f3,axiom,(
% 4.85/0.89 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f4,axiom,(
% 4.85/0.89 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f5,axiom,(
% 4.85/0.89 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f14,axiom,(
% 4.85/0.89 defined(additive_identity) ),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f15,axiom,(
% 4.85/0.89 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f27,hypothesis,(
% 4.85/0.89 defined(a) ),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f28,hypothesis,(
% 4.85/0.89 defined(b) ),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f29,negated_conjecture,(
% 4.85/0.89 sum(additive_identity,a,b) ),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f30,negated_conjecture,(
% 4.85/0.89 ~ sum(additive_identity,additive_inverse(a),additive_inverse(b)) ),
% 4.85/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.85/0.89 fof(f31,plain,(
% 4.85/0.89 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 4.85/0.89 inference(miniscoping,[status(esa)],[f1])).
% 4.85/0.89 fof(f32,plain,(
% 4.85/0.89 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f31])).
% 4.85/0.89 fof(f33,plain,(
% 4.85/0.89 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 4.85/0.89 inference(miniscoping,[status(esa)],[f2])).
% 4.85/0.89 fof(f34,plain,(
% 4.85/0.89 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f33])).
% 4.85/0.89 fof(f35,plain,(
% 4.85/0.89 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f3])).
% 4.85/0.89 fof(f36,plain,(
% 4.85/0.89 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f4])).
% 4.85/0.89 fof(f37,plain,(
% 4.85/0.89 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f5])).
% 4.85/0.89 fof(f51,plain,(
% 4.85/0.89 defined(additive_identity)),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f14])).
% 4.85/0.89 fof(f52,plain,(
% 4.85/0.89 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f15])).
% 4.85/0.89 fof(f70,plain,(
% 4.85/0.89 defined(a)),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f27])).
% 4.85/0.89 fof(f71,plain,(
% 4.85/0.89 defined(b)),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f28])).
% 4.85/0.89 fof(f72,plain,(
% 4.85/0.89 sum(additive_identity,a,b)),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f29])).
% 4.85/0.89 fof(f73,plain,(
% 4.85/0.89 ~sum(additive_identity,additive_inverse(a),additive_inverse(b))),
% 4.85/0.89 inference(cnf_transformation,[status(esa)],[f30])).
% 4.85/0.89 fof(f79,plain,(
% 4.85/0.89 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X0,additive_identity,X2)|~sum(X2,a,X1))),
% 4.85/0.89 inference(resolution,[status(thm)],[f32,f72])).
% 4.85/0.89 fof(f92,plain,(
% 4.85/0.89 spl0_0 <=> defined(additive_identity)),
% 4.85/0.89 introduced(split_symbol_definition)).
% 4.85/0.89 fof(f94,plain,(
% 4.85/0.89 ~defined(additive_identity)|spl0_0),
% 4.85/0.89 inference(component_clause,[status(thm)],[f92])).
% 4.85/0.89 fof(f101,plain,(
% 4.85/0.89 spl0_2 <=> defined(b)),
% 4.85/0.89 introduced(split_symbol_definition)).
% 4.85/0.89 fof(f103,plain,(
% 4.85/0.89 ~defined(b)|spl0_2),
% 4.85/0.89 inference(component_clause,[status(thm)],[f101])).
% 4.85/0.89 fof(f114,plain,(
% 4.85/0.89 spl0_5 <=> defined(a)),
% 4.85/0.89 introduced(split_symbol_definition)).
% 4.85/0.89 fof(f116,plain,(
% 4.85/0.89 ~defined(a)|spl0_5),
% 4.85/0.89 inference(component_clause,[status(thm)],[f114])).
% 4.85/0.89 fof(f127,plain,(
% 4.85/0.89 spl0_8 <=> sum(X0,b,a)|~sum(X0,additive_identity,additive_identity)),
% 4.85/0.89 introduced(split_symbol_definition)).
% 4.85/0.89 fof(f128,plain,(
% 4.85/0.89 ![X0]: (sum(X0,b,a)|~sum(X0,additive_identity,additive_identity)|~spl0_8)),
% 4.85/0.91 inference(component_clause,[status(thm)],[f127])).
% 4.85/0.91 fof(f130,plain,(
% 4.85/0.91 ![X0]: (~defined(a)|sum(X0,b,a)|~sum(X0,additive_identity,additive_identity))),
% 4.85/0.91 inference(resolution,[status(thm)],[f35,f79])).
% 4.85/0.91 fof(f131,plain,(
% 4.85/0.91 ~spl0_5|spl0_8),
% 4.85/0.91 inference(split_clause,[status(thm)],[f130,f114,f127])).
% 4.85/0.91 fof(f152,plain,(
% 4.85/0.91 ![X0]: (~defined(X0)|sum(X0,additive_identity,X0))),
% 4.85/0.91 inference(resolution,[status(thm)],[f35,f37])).
% 4.85/0.91 fof(f153,plain,(
% 4.85/0.91 $false|spl0_2),
% 4.85/0.91 inference(forward_subsumption_resolution,[status(thm)],[f103,f71])).
% 4.85/0.91 fof(f154,plain,(
% 4.85/0.91 spl0_2),
% 4.85/0.91 inference(contradiction_clause,[status(thm)],[f153])).
% 4.85/0.91 fof(f155,plain,(
% 4.85/0.91 $false|spl0_0),
% 4.85/0.91 inference(forward_subsumption_resolution,[status(thm)],[f94,f51])).
% 4.85/0.91 fof(f156,plain,(
% 4.85/0.91 spl0_0),
% 4.85/0.91 inference(contradiction_clause,[status(thm)],[f155])).
% 4.85/0.91 fof(f157,plain,(
% 4.85/0.91 $false|spl0_5),
% 4.85/0.91 inference(forward_subsumption_resolution,[status(thm)],[f116,f70])).
% 4.85/0.91 fof(f158,plain,(
% 4.85/0.91 spl0_5),
% 4.85/0.91 inference(contradiction_clause,[status(thm)],[f157])).
% 4.85/0.91 fof(f211,plain,(
% 4.85/0.91 spl0_16 <=> sum(additive_identity,b,a)),
% 4.85/0.91 introduced(split_symbol_definition)).
% 4.85/0.91 fof(f212,plain,(
% 4.85/0.91 sum(additive_identity,b,a)|~spl0_16),
% 4.85/0.91 inference(component_clause,[status(thm)],[f211])).
% 4.85/0.91 fof(f214,plain,(
% 4.85/0.91 sum(additive_identity,b,a)|~defined(additive_identity)|~spl0_8),
% 4.85/0.91 inference(resolution,[status(thm)],[f128,f35])).
% 4.85/0.91 fof(f215,plain,(
% 4.85/0.91 spl0_16|~spl0_0|~spl0_8),
% 4.85/0.91 inference(split_clause,[status(thm)],[f214,f211,f92,f127])).
% 4.85/0.91 fof(f235,plain,(
% 4.85/0.91 ![X0,X1,X2]: (sum(X0,a,X1)|~sum(X0,additive_identity,X2)|~sum(X2,b,X1)|~spl0_16)),
% 4.85/0.91 inference(resolution,[status(thm)],[f212,f32])).
% 4.85/0.91 fof(f676,plain,(
% 4.85/0.91 spl0_58 <=> sum(X0,a,additive_identity)|~sum(X0,additive_identity,additive_inverse(b))),
% 4.85/0.91 introduced(split_symbol_definition)).
% 4.85/0.91 fof(f677,plain,(
% 4.85/0.91 ![X0]: (sum(X0,a,additive_identity)|~sum(X0,additive_identity,additive_inverse(b))|~spl0_58)),
% 4.85/0.91 inference(component_clause,[status(thm)],[f676])).
% 4.85/0.91 fof(f679,plain,(
% 4.85/0.91 ![X0]: (~defined(b)|sum(X0,a,additive_identity)|~sum(X0,additive_identity,additive_inverse(b))|~spl0_16)),
% 4.85/0.91 inference(resolution,[status(thm)],[f36,f235])).
% 4.85/0.91 fof(f680,plain,(
% 4.85/0.91 ~spl0_2|spl0_58|~spl0_16),
% 4.85/0.91 inference(split_clause,[status(thm)],[f679,f101,f676,f211])).
% 4.85/0.91 fof(f871,plain,(
% 4.85/0.91 ![X0]: (~defined(X0)|sum(X0,additive_inverse(X0),additive_identity))),
% 4.85/0.91 inference(resolution,[status(thm)],[f36,f37])).
% 4.85/0.91 fof(f1168,plain,(
% 4.85/0.91 spl0_149 <=> defined(additive_inverse(b))),
% 4.85/0.91 introduced(split_symbol_definition)).
% 4.85/0.91 fof(f1170,plain,(
% 4.85/0.91 ~defined(additive_inverse(b))|spl0_149),
% 4.85/0.91 inference(component_clause,[status(thm)],[f1168])).
% 4.85/0.91 fof(f1311,plain,(
% 4.85/0.91 ~defined(b)|spl0_149),
% 4.85/0.91 inference(resolution,[status(thm)],[f1170,f52])).
% 4.85/0.91 fof(f1312,plain,(
% 4.85/0.91 ~spl0_2|spl0_149),
% 4.85/0.91 inference(split_clause,[status(thm)],[f1311,f101,f1168])).
% 4.85/0.91 fof(f1429,plain,(
% 4.85/0.91 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,additive_inverse(X0),X2)|~sum(X3,X0,X1)|~sum(X3,additive_identity,X2))),
% 4.85/0.91 inference(resolution,[status(thm)],[f871,f34])).
% 4.85/0.91 fof(f2322,plain,(
% 4.85/0.91 spl0_337 <=> ~sum(X0,a,additive_identity)|~sum(X0,additive_identity,additive_inverse(b))),
% 4.85/0.91 introduced(split_symbol_definition)).
% 4.85/0.91 fof(f2323,plain,(
% 4.85/0.91 ![X0]: (~sum(X0,a,additive_identity)|~sum(X0,additive_identity,additive_inverse(b))|~spl0_337)),
% 4.85/0.91 inference(component_clause,[status(thm)],[f2322])).
% 4.85/0.91 fof(f2325,plain,(
% 4.85/0.91 ![X0]: (~defined(a)|~sum(X0,a,additive_identity)|~sum(X0,additive_identity,additive_inverse(b)))),
% 4.85/0.91 inference(resolution,[status(thm)],[f1429,f73])).
% 4.85/0.91 fof(f2326,plain,(
% 4.85/0.91 ~spl0_5|spl0_337),
% 4.85/0.91 inference(split_clause,[status(thm)],[f2325,f114,f2322])).
% 4.85/0.91 fof(f2373,plain,(
% 4.85/0.91 ![X0]: (~sum(X0,additive_identity,additive_inverse(b))|~spl0_58|~spl0_337)),
% 4.85/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2323,f677])).
% 4.85/0.91 fof(f2379,plain,(
% 4.85/0.91 ~defined(additive_inverse(b))|~spl0_58|~spl0_337),
% 4.85/0.91 inference(resolution,[status(thm)],[f2373,f152])).
% 4.85/0.91 fof(f2380,plain,(
% 4.85/0.91 ~spl0_149|~spl0_58|~spl0_337),
% 4.85/0.91 inference(split_clause,[status(thm)],[f2379,f1168,f676,f2322])).
% 4.85/0.91 fof(f2381,plain,(
% 4.85/0.91 $false),
% 4.85/0.91 inference(sat_refutation,[status(thm)],[f131,f154,f156,f158,f215,f680,f1312,f2326,f2380])).
% 4.85/0.91 % SZS output end CNFRefutation for theBenchmark.p
% 4.85/0.92 % Elapsed time: 0.647209 seconds
% 4.85/0.92 % CPU time: 5.030952 seconds
% 4.85/0.92 % Total memory used: 52.099 MB
% 4.85/0.92 % Net memory used: 48.978 MB
%------------------------------------------------------------------------------