TSTP Solution File: FLD005-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD005-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:06:48 EDT 2023
% Result : Unsatisfiable 114.32s 14.90s
% Output : CNFRefutation 114.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : FLD005-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:16:43 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % Drodi V3.5.1
% 114.32/14.90 % Refutation found
% 114.32/14.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 114.32/14.90 % SZS output start CNFRefutation for theBenchmark
% 114.32/14.90 fof(f1,axiom,(
% 114.32/14.90 (![X,Y,Z]: (( equalish(add(X,add(Y,Z)),add(add(X,Y),Z))| ~ defined(X)| ~ defined(Y)| ~ defined(Z) ) ))),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f2,axiom,(
% 114.32/14.90 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f3,axiom,(
% 114.32/14.90 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f12,axiom,(
% 114.32/14.90 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f23,axiom,(
% 114.32/14.90 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f24,axiom,(
% 114.32/14.90 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f28,hypothesis,(
% 114.32/14.90 defined(a) ),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f29,hypothesis,(
% 114.32/14.90 defined(b) ),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f30,negated_conjecture,(
% 114.32/14.90 (![X]: (~ equalish(add(a,X),b) ))),
% 114.32/14.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 114.32/14.90 fof(f31,plain,(
% 114.32/14.90 ![Z]: ((![Y]: ((![X]: (equalish(add(X,add(Y,Z)),add(add(X,Y),Z))|~defined(X)))|~defined(Y)))|~defined(Z))),
% 114.32/14.90 inference(miniscoping,[status(esa)],[f1])).
% 114.32/14.90 fof(f32,plain,(
% 114.32/14.90 ![X0,X1,X2]: (equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))|~defined(X0)|~defined(X1)|~defined(X2))),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f31])).
% 114.32/14.90 fof(f33,plain,(
% 114.32/14.90 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f2])).
% 114.32/14.90 fof(f34,plain,(
% 114.32/14.90 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f3])).
% 114.32/14.90 fof(f48,plain,(
% 114.32/14.90 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f12])).
% 114.32/14.90 fof(f64,plain,(
% 114.32/14.90 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 114.32/14.90 inference(miniscoping,[status(esa)],[f23])).
% 114.32/14.90 fof(f65,plain,(
% 114.32/14.90 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f64])).
% 114.32/14.90 fof(f66,plain,(
% 114.32/14.90 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 114.32/14.90 inference(miniscoping,[status(esa)],[f24])).
% 114.32/14.90 fof(f67,plain,(
% 114.32/14.90 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f66])).
% 114.32/14.90 fof(f73,plain,(
% 114.32/14.90 defined(a)),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f28])).
% 114.32/14.90 fof(f74,plain,(
% 114.32/14.90 defined(b)),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f29])).
% 114.32/14.90 fof(f75,plain,(
% 114.32/14.90 ![X0]: (~equalish(add(a,X0),b))),
% 114.32/14.90 inference(cnf_transformation,[status(esa)],[f30])).
% 114.32/14.90 fof(f78,plain,(
% 114.32/14.90 ![X0,X1,X2,X3]: (equalish(add(X0,add(X1,X2)),X3)|~equalish(add(add(X0,X1),X2),X3)|~defined(X0)|~defined(X1)|~defined(X2))),
% 114.32/14.90 inference(resolution,[status(thm)],[f65,f32])).
% 114.32/14.90 fof(f94,plain,(
% 114.32/14.90 ![X0,X1,X2,X3]: (~defined(X0)|~equalish(X1,X2)|equalish(add(X1,X0),X3)|~equalish(add(X2,X0),X3))),
% 114.32/14.90 inference(resolution,[status(thm)],[f67,f65])).
% 114.32/14.90 fof(f132,plain,(
% 114.32/14.90 spl0_2 <=> defined(b)),
% 114.32/14.90 introduced(split_symbol_definition)).
% 114.32/14.90 fof(f134,plain,(
% 114.32/14.90 ~defined(b)|spl0_2),
% 114.32/14.90 inference(component_clause,[status(thm)],[f132])).
% 114.32/14.90 fof(f135,plain,(
% 114.32/14.90 spl0_3 <=> defined(a)),
% 114.32/14.90 introduced(split_symbol_definition)).
% 114.32/14.90 fof(f137,plain,(
% 114.32/14.90 ~defined(a)|spl0_3),
% 114.32/14.90 inference(component_clause,[status(thm)],[f135])).
% 114.32/14.90 fof(f140,plain,(
% 114.32/14.90 $false|spl0_3),
% 114.32/14.90 inference(forward_subsumption_resolution,[status(thm)],[f137,f73])).
% 114.32/14.90 fof(f141,plain,(
% 114.32/14.90 spl0_3),
% 114.32/14.90 inference(contradiction_clause,[status(thm)],[f140])).
% 114.32/14.90 fof(f142,plain,(
% 114.32/14.90 $false|spl0_2),
% 114.32/14.90 inference(forward_subsumption_resolution,[status(thm)],[f134,f74])).
% 114.32/14.90 fof(f143,plain,(
% 114.32/14.90 spl0_2),
% 114.32/14.90 inference(contradiction_clause,[status(thm)],[f142])).
% 114.71/14.94 fof(f535,plain,(
% 114.71/14.94 ![X0,X1,X2]: (~equalish(X0,X1)|equalish(add(X0,b),X2)|~equalish(add(X1,b),X2))),
% 114.71/14.94 inference(resolution,[status(thm)],[f94,f74])).
% 114.71/14.94 fof(f896,plain,(
% 114.71/14.94 defined(additive_inverse(a))),
% 114.71/14.94 inference(resolution,[status(thm)],[f48,f73])).
% 114.71/14.94 fof(f11361,plain,(
% 114.71/14.94 spl0_920 <=> ~equalish(add(add(a,X0),X1),b)|~defined(X0)|~defined(X1)),
% 114.71/14.94 introduced(split_symbol_definition)).
% 114.71/14.94 fof(f11362,plain,(
% 114.71/14.94 ![X0,X1]: (~equalish(add(add(a,X0),X1),b)|~defined(X0)|~defined(X1)|~spl0_920)),
% 114.71/14.94 inference(component_clause,[status(thm)],[f11361])).
% 114.71/14.94 fof(f11364,plain,(
% 114.71/14.94 ![X0,X1]: (~equalish(add(add(a,X0),X1),b)|~defined(a)|~defined(X0)|~defined(X1))),
% 114.71/14.94 inference(resolution,[status(thm)],[f78,f75])).
% 114.71/14.94 fof(f11365,plain,(
% 114.71/14.94 spl0_920|~spl0_3),
% 114.71/14.94 inference(split_clause,[status(thm)],[f11364,f11361,f135])).
% 114.71/14.94 fof(f11582,plain,(
% 114.71/14.94 spl0_931 <=> ~defined(X0)|~equalish(add(a,X0),X1)|~equalish(add(X1,b),b)),
% 114.71/14.94 introduced(split_symbol_definition)).
% 114.71/14.94 fof(f11583,plain,(
% 114.71/14.94 ![X0,X1]: (~defined(X0)|~equalish(add(a,X0),X1)|~equalish(add(X1,b),b)|~spl0_931)),
% 114.71/14.94 inference(component_clause,[status(thm)],[f11582])).
% 114.71/14.94 fof(f11585,plain,(
% 114.71/14.94 ![X0,X1]: (~defined(X0)|~defined(b)|~equalish(add(a,X0),X1)|~equalish(add(X1,b),b)|~spl0_920)),
% 114.71/14.94 inference(resolution,[status(thm)],[f11362,f535])).
% 114.71/14.94 fof(f11586,plain,(
% 114.71/14.94 spl0_931|~spl0_2|~spl0_920),
% 114.71/14.94 inference(split_clause,[status(thm)],[f11585,f11582,f132,f11361])).
% 114.71/14.94 fof(f11838,plain,(
% 114.71/14.94 spl0_947 <=> ~defined(X0)|~equalish(add(a,X0),additive_identity)),
% 114.71/14.94 introduced(split_symbol_definition)).
% 114.71/14.94 fof(f11839,plain,(
% 114.71/14.94 ![X0]: (~defined(X0)|~equalish(add(a,X0),additive_identity)|~spl0_947)),
% 114.71/14.94 inference(component_clause,[status(thm)],[f11838])).
% 114.71/14.94 fof(f11965,plain,(
% 114.71/14.94 ![X0]: (~defined(X0)|~equalish(add(a,X0),additive_identity)|~defined(b)|~spl0_931)),
% 114.71/14.94 inference(resolution,[status(thm)],[f11583,f33])).
% 114.71/14.94 fof(f11966,plain,(
% 114.71/14.94 spl0_947|~spl0_2|~spl0_931),
% 114.71/14.94 inference(split_clause,[status(thm)],[f11965,f11838,f132,f11582])).
% 114.71/14.94 fof(f17952,plain,(
% 114.71/14.94 spl0_1284 <=> defined(additive_inverse(a))),
% 114.71/14.94 introduced(split_symbol_definition)).
% 114.71/14.94 fof(f17954,plain,(
% 114.71/14.94 ~defined(additive_inverse(a))|spl0_1284),
% 114.71/14.94 inference(component_clause,[status(thm)],[f17952])).
% 114.71/14.94 fof(f17955,plain,(
% 114.71/14.94 ~defined(additive_inverse(a))|~defined(a)|~spl0_947),
% 114.71/14.94 inference(resolution,[status(thm)],[f11839,f34])).
% 114.71/14.94 fof(f17956,plain,(
% 114.71/14.94 ~spl0_1284|~spl0_3|~spl0_947),
% 114.71/14.94 inference(split_clause,[status(thm)],[f17955,f17952,f135,f11838])).
% 114.71/14.94 fof(f17996,plain,(
% 114.71/14.94 $false|spl0_1284),
% 114.71/14.94 inference(forward_subsumption_resolution,[status(thm)],[f17954,f896])).
% 114.71/14.94 fof(f17997,plain,(
% 114.71/14.94 spl0_1284),
% 114.71/14.94 inference(contradiction_clause,[status(thm)],[f17996])).
% 114.71/14.94 fof(f17998,plain,(
% 114.71/14.94 $false),
% 114.71/14.94 inference(sat_refutation,[status(thm)],[f141,f143,f11365,f11586,f11966,f17956,f17997])).
% 114.71/14.94 % SZS output end CNFRefutation for theBenchmark.p
% 114.94/14.97 % Elapsed time: 14.646374 seconds
% 114.94/14.97 % CPU time: 114.986073 seconds
% 114.94/14.97 % Memory used: 181.394 MB
%------------------------------------------------------------------------------