TSTP Solution File: LCL077-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL077-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:18:11 EDT 2023
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL077-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:41:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (![X1,X2,X3]: (( ~ is_a_theorem(implies(X1,X2))| ~ is_a_theorem(implies(X2,X3))| is_a_theorem(implies(X1,X3)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,negated_conjecture,(
% 0.13/0.38 ~ is_a_theorem(implies(not(not(a)),a)) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ![X1,X3]: ((![X2]: (~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))))|is_a_theorem(implies(X1,X3)))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f5])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ~is_a_theorem(implies(not(not(a)),a))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f8,f9])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ~is_a_theorem(a)),
% 0.13/0.38 inference(resolution,[status(thm)],[f15,f14])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 spl0_1 <=> ~is_a_theorem(X1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![X0]: (~is_a_theorem(X0)|~spl0_1)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f20])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f10,f8])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 spl0_3 <=> is_a_theorem(X1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![X0]: (is_a_theorem(X0)|~spl0_3)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f33])).
% 0.13/0.38 fof(f59,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),not(X2))))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f13,f11])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f13,f9])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(implies(implies(not(X0),not(X1)),X1),implies(implies(not(X0),not(X1)),X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f25,f11])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X0,X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f25,f9])).
% 0.13/0.38 fof(f77,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X0)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f69,f8])).
% 0.13/0.38 fof(f81,plain,(
% 0.13/0.38 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f77,f9])).
% 0.13/0.38 fof(f82,plain,(
% 0.13/0.38 spl0_7 <=> is_a_theorem(implies(X0,X0))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f83,plain,(
% 0.13/0.38 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_7)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f82])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(X0,X0))|~is_a_theorem(X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f77,f15])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 spl0_7|spl0_1),
% 0.13/0.38 inference(split_clause,[status(thm)],[f97,f82,f20])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(X2))),
% 0.13/0.38 inference(resolution,[status(thm)],[f61,f15])).
% 0.13/0.38 fof(f120,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f110,f81])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 spl0_10 <=> is_a_theorem(implies(X1,implies(X2,X2)))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f130,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_10)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f129])).
% 0.13/0.38 fof(f132,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X2))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f120,f8])).
% 0.13/0.38 fof(f133,plain,(
% 0.13/0.38 spl0_1|spl0_10),
% 0.13/0.38 inference(split_clause,[status(thm)],[f132,f20,f129])).
% 0.13/0.38 fof(f181,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f59,f9])).
% 0.13/0.38 fof(f211,plain,(
% 0.13/0.38 $false|~spl0_1),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f67,f21])).
% 0.13/0.38 fof(f212,plain,(
% 0.13/0.38 ~spl0_1),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f211])).
% 0.13/0.38 fof(f213,plain,(
% 0.13/0.38 $false|~spl0_3),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f16,f34])).
% 0.13/0.38 fof(f214,plain,(
% 0.13/0.38 ~spl0_3),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f213])).
% 0.13/0.38 fof(f413,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(X1,X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f59,f181])).
% 0.13/0.38 fof(f457,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1)))|~spl0_7)),
% 0.13/0.38 inference(resolution,[status(thm)],[f25,f83])).
% 0.13/0.38 fof(f500,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(implies(X0,X1),X1))|~spl0_7)),
% 0.13/0.38 inference(resolution,[status(thm)],[f457,f8])).
% 0.13/0.38 fof(f527,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))|~spl0_7|~spl0_10)),
% 0.13/0.38 inference(resolution,[status(thm)],[f500,f130])).
% 0.13/0.38 fof(f536,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2))|~spl0_7|~spl0_10)),
% 0.13/0.38 inference(resolution,[status(thm)],[f527,f13])).
% 0.13/0.38 fof(f723,plain,(
% 0.13/0.38 spl0_28 <=> is_a_theorem(implies(X0,X1))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f724,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~spl0_28)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f723])).
% 0.13/0.38 fof(f1071,plain,(
% 0.13/0.38 $false|~spl0_28),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f14,f724])).
% 0.13/0.38 fof(f1072,plain,(
% 0.13/0.38 ~spl0_28),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f1071])).
% 0.13/0.38 fof(f2242,plain,(
% 0.13/0.38 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_7|~spl0_10)),
% 0.13/0.38 inference(resolution,[status(thm)],[f536,f413])).
% 0.13/0.38 fof(f2273,plain,(
% 0.13/0.38 $false|~spl0_7|~spl0_10),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f14,f2242])).
% 0.13/0.38 fof(f2274,plain,(
% 0.13/0.38 ~spl0_7|~spl0_10),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f2273])).
% 0.13/0.38 fof(f2275,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f98,f133,f212,f214,f1072,f2274])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.049773 seconds
% 0.13/0.39 % CPU time: 0.259698 seconds
% 0.13/0.39 % Memory used: 16.200 MB
%------------------------------------------------------------------------------