TSTP Solution File: LCL088-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL088-1 : TPTP v8.1.2. Released v1.0.0.
% 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 20:26:19 EDT 2024
% Result : Unsatisfiable 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL088-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:25:58 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.56 % Refutation found
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.56 fof(f1,axiom,(
% 0.20/0.56 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f2,axiom,(
% 0.20/0.56 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) ))),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f3,negated_conjecture,(
% 0.20/0.56 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f4,plain,(
% 0.20/0.56 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.20/0.56 inference(miniscoping,[status(esa)],[f1])).
% 0.20/0.56 fof(f5,plain,(
% 0.20/0.56 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.56 fof(f6,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.56 fof(f7,plain,(
% 0.20/0.56 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.56 fof(f8,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))))),
% 0.20/0.56 inference(resolution,[status(thm)],[f6,f5])).
% 0.20/0.56 fof(f9,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))))),
% 0.20/0.56 inference(resolution,[status(thm)],[f8,f6])).
% 0.20/0.56 fof(f11,plain,(
% 0.20/0.56 spl0_0 <=> ~is_a_theorem(X0)),
% 0.20/0.56 introduced(split_symbol_definition)).
% 0.20/0.56 fof(f12,plain,(
% 0.20/0.56 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.20/0.56 inference(component_clause,[status(thm)],[f11])).
% 0.20/0.56 fof(f14,plain,(
% 0.20/0.56 spl0_1 <=> is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
% 0.20/0.56 introduced(split_symbol_definition)).
% 0.20/0.56 fof(f15,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3))))|~spl0_1)),
% 0.20/0.56 inference(component_clause,[status(thm)],[f14])).
% 0.20/0.56 fof(f17,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))))),
% 0.20/0.56 inference(resolution,[status(thm)],[f9,f5])).
% 0.20/0.56 fof(f18,plain,(
% 0.20/0.56 spl0_0|spl0_1),
% 0.20/0.56 inference(split_clause,[status(thm)],[f17,f11,f14])).
% 0.20/0.56 fof(f205,plain,(
% 0.20/0.56 $false|~spl0_0),
% 0.20/0.56 inference(backward_subsumption_resolution,[status(thm)],[f6,f12])).
% 0.20/0.56 fof(f206,plain,(
% 0.20/0.56 ~spl0_0),
% 0.20/0.56 inference(contradiction_clause,[status(thm)],[f205])).
% 0.20/0.56 fof(f237,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3)))|~spl0_1)),
% 0.20/0.56 inference(resolution,[status(thm)],[f5,f15])).
% 0.20/0.56 fof(f239,plain,(
% 0.20/0.56 spl0_33 <=> ~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X1,X3))),
% 0.20/0.56 introduced(split_symbol_definition)).
% 0.20/0.56 fof(f240,plain,(
% 0.20/0.56 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X1,X3))|~spl0_33)),
% 0.20/0.56 inference(component_clause,[status(thm)],[f239])).
% 0.20/0.56 fof(f242,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|~is_a_theorem(X4)|is_a_theorem(implies(X1,X3))|~spl0_1)),
% 0.20/0.56 inference(resolution,[status(thm)],[f237,f5])).
% 0.20/0.56 fof(f243,plain,(
% 0.20/0.56 spl0_33|spl0_0|~spl0_1),
% 0.20/0.56 inference(split_clause,[status(thm)],[f242,f239,f11,f14])).
% 0.20/0.56 fof(f244,plain,(
% 0.20/0.56 spl0_34 <=> ~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))),
% 0.20/0.56 introduced(split_symbol_definition)).
% 0.20/0.56 fof(f245,plain,(
% 0.20/0.56 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))|~spl0_34)),
% 0.20/0.56 inference(component_clause,[status(thm)],[f244])).
% 0.20/0.56 fof(f247,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(X4)|is_a_theorem(implies(implies(X3,X0),implies(X2,X0))))),
% 0.20/0.56 inference(resolution,[status(thm)],[f8,f5])).
% 0.20/0.56 fof(f248,plain,(
% 0.20/0.56 spl0_34|spl0_0),
% 0.20/0.56 inference(split_clause,[status(thm)],[f247,f244,f11])).
% 0.20/0.56 fof(f319,plain,(
% 0.20/0.56 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X2,X0))|~spl0_34)),
% 0.20/0.56 inference(resolution,[status(thm)],[f245,f5])).
% 0.20/0.56 fof(f359,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(implies(X5,X1),implies(X6,X1)),implies(X1,X2)))))|is_a_theorem(implies(X4,implies(X0,implies(X1,X2))))|~spl0_34|~spl0_1)),
% 0.20/0.56 inference(resolution,[status(thm)],[f319,f15])).
% 0.20/0.56 fof(f361,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X3,X2))),X4),implies(X5,implies(implies(X2,X6),implies(X3,X1)))))|is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X3,X2)))))|~spl0_34)),
% 0.20/0.56 inference(resolution,[status(thm)],[f319,f6])).
% 0.20/0.56 fof(f504,plain,(
% 0.20/0.56 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2)))))|~spl0_34)),
% 0.20/0.56 inference(resolution,[status(thm)],[f361,f6])).
% 0.20/0.56 fof(f572,plain,(
% 0.20/0.56 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,implies(X3,X1)))))|~spl0_34|~spl0_1)),
% 0.20/0.56 inference(resolution,[status(thm)],[f504,f359])).
% 0.20/0.56 fof(f592,plain,(
% 0.20/0.56 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))))|~spl0_1|~spl0_34)),
% 0.20/0.56 inference(resolution,[status(thm)],[f572,f361])).
% 0.20/0.56 fof(f763,plain,(
% 0.20/0.56 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1))))|~spl0_1|~spl0_34|~spl0_33)),
% 0.20/0.56 inference(resolution,[status(thm)],[f592,f240])).
% 0.20/0.56 fof(f774,plain,(
% 0.20/0.56 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~spl0_1|~spl0_34|~spl0_33)),
% 0.20/0.56 inference(resolution,[status(thm)],[f763,f240])).
% 0.20/0.56 fof(f788,plain,(
% 0.20/0.56 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,X0))|~spl0_1|~spl0_34|~spl0_33)),
% 0.20/0.56 inference(resolution,[status(thm)],[f774,f5])).
% 0.20/0.56 fof(f803,plain,(
% 0.20/0.56 spl0_55 <=> ~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)),
% 0.20/0.56 introduced(split_symbol_definition)).
% 0.20/0.56 fof(f804,plain,(
% 0.20/0.56 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)|~spl0_55)),
% 0.20/0.56 inference(component_clause,[status(thm)],[f803])).
% 0.20/0.56 fof(f806,plain,(
% 0.20/0.56 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(X2)|is_a_theorem(X0)|~spl0_1|~spl0_34|~spl0_33)),
% 0.20/0.56 inference(resolution,[status(thm)],[f788,f5])).
% 0.20/0.56 fof(f807,plain,(
% 0.20/0.56 spl0_55|spl0_0|~spl0_1|~spl0_34|~spl0_33),
% 0.20/0.56 inference(split_clause,[status(thm)],[f806,f803,f11,f14,f244,f239])).
% 0.20/0.56 fof(f845,plain,(
% 0.20/0.56 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X2),implies(X0,implies(X0,X1))))|~spl0_55|~spl0_34)),
% 0.20/0.56 inference(resolution,[status(thm)],[f804,f245])).
% 0.20/0.56 fof(f1063,plain,(
% 0.20/0.56 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_55|~spl0_1|~spl0_34|~spl0_33)),
% 0.20/0.56 inference(resolution,[status(thm)],[f845,f763])).
% 0.20/0.56 fof(f1076,plain,(
% 0.20/0.56 $false|~spl0_55|~spl0_1|~spl0_34|~spl0_33),
% 0.20/0.56 inference(backward_subsumption_resolution,[status(thm)],[f7,f1063])).
% 0.20/0.56 fof(f1077,plain,(
% 0.20/0.56 ~spl0_55|~spl0_1|~spl0_34|~spl0_33),
% 0.20/0.56 inference(contradiction_clause,[status(thm)],[f1076])).
% 0.20/0.56 fof(f1078,plain,(
% 0.20/0.56 $false),
% 0.20/0.56 inference(sat_refutation,[status(thm)],[f18,f206,f243,f248,f807,f1077])).
% 0.20/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 1.58/0.59 % Elapsed time: 0.223492 seconds
% 1.58/0.59 % CPU time: 1.659759 seconds
% 1.58/0.59 % Total memory used: 99.156 MB
% 1.58/0.59 % Net memory used: 97.358 MB
%------------------------------------------------------------------------------