TSTP Solution File: LCL385-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL385-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:19:08 EDT 2023
% Result : Unsatisfiable 32.31s 4.52s
% Output : CNFRefutation 32.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL385-1 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.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 10:07:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 32.31/4.52 % Refutation found
% 32.31/4.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 32.31/4.52 % SZS output start CNFRefutation for theBenchmark
% 32.31/4.52 fof(f1,axiom,(
% 32.31/4.52 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 32.31/4.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.31/4.52 fof(f2,axiom,(
% 32.31/4.52 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 32.31/4.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.31/4.52 fof(f3,axiom,(
% 32.31/4.52 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 32.31/4.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.31/4.52 fof(f4,axiom,(
% 32.31/4.52 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 32.31/4.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.31/4.52 fof(f5,negated_conjecture,(
% 32.31/4.52 ~ is_a_theorem(implies(implies(x,not(y)),implies(y,not(x)))) ),
% 32.31/4.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.31/4.52 fof(f6,plain,(
% 32.31/4.52 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 32.31/4.52 inference(miniscoping,[status(esa)],[f1])).
% 32.31/4.52 fof(f7,plain,(
% 32.31/4.52 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 32.31/4.52 inference(cnf_transformation,[status(esa)],[f6])).
% 32.31/4.52 fof(f8,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 32.31/4.52 inference(cnf_transformation,[status(esa)],[f2])).
% 32.31/4.52 fof(f9,plain,(
% 32.31/4.52 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 32.31/4.52 inference(cnf_transformation,[status(esa)],[f3])).
% 32.31/4.52 fof(f10,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 32.31/4.52 inference(cnf_transformation,[status(esa)],[f4])).
% 32.31/4.52 fof(f11,plain,(
% 32.31/4.52 ~is_a_theorem(implies(implies(x,not(y)),implies(y,not(x))))),
% 32.31/4.52 inference(cnf_transformation,[status(esa)],[f5])).
% 32.31/4.52 fof(f12,plain,(
% 32.31/4.52 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 32.31/4.52 inference(resolution,[status(thm)],[f7,f9])).
% 32.31/4.52 fof(f13,plain,(
% 32.31/4.52 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f7,f10])).
% 32.31/4.52 fof(f14,plain,(
% 32.31/4.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f8,f7])).
% 32.31/4.52 fof(f23,plain,(
% 32.31/4.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f14,f7])).
% 32.31/4.52 fof(f24,plain,(
% 32.31/4.52 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 32.31/4.52 inference(resolution,[status(thm)],[f23,f12])).
% 32.31/4.52 fof(f25,plain,(
% 32.31/4.52 ![X0]: (~is_a_theorem(implies(implies(x,not(y)),X0))|~is_a_theorem(implies(X0,implies(y,not(x)))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f23,f11])).
% 32.31/4.52 fof(f26,plain,(
% 32.31/4.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 32.31/4.52 inference(resolution,[status(thm)],[f23,f7])).
% 32.31/4.52 fof(f27,plain,(
% 32.31/4.52 ![X0,X1]: (~is_a_theorem(implies(implies(not(not(X0)),X1),X0))|is_a_theorem(X0))),
% 32.31/4.52 inference(resolution,[status(thm)],[f24,f10])).
% 32.31/4.52 fof(f30,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(not(not(X0)),X1),X2))|~is_a_theorem(implies(X2,X0)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f27,f23])).
% 32.31/4.52 fof(f37,plain,(
% 32.31/4.52 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(X0)|is_a_theorem(implies(implies(X2,X3),implies(X1,X3))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f26,f8])).
% 32.31/4.52 fof(f67,plain,(
% 32.31/4.52 ![X0]: (~is_a_theorem(implies(implies(X0,not(y)),implies(y,not(x))))|~is_a_theorem(implies(X0,x)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f25,f14])).
% 32.31/4.52 fof(f75,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(X1,X2),X0))|~is_a_theorem(implies(X1,not(not(X0)))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f30,f14])).
% 32.31/4.52 fof(f82,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(not(X1),X2),X0))|~is_a_theorem(X1))),
% 32.31/4.52 inference(resolution,[status(thm)],[f75,f13])).
% 32.31/4.52 fof(f85,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(X2),X1)))|~is_a_theorem(X2))),
% 32.31/4.52 inference(resolution,[status(thm)],[f82,f8])).
% 32.31/4.52 fof(f106,plain,(
% 32.31/4.52 spl0_6 <=> ~is_a_theorem(X2)),
% 32.31/4.52 introduced(split_symbol_definition)).
% 32.31/4.52 fof(f107,plain,(
% 32.31/4.52 ![X0]: (~is_a_theorem(X0)|~spl0_6)),
% 32.31/4.52 inference(component_clause,[status(thm)],[f106])).
% 32.31/4.52 fof(f335,plain,(
% 32.31/4.52 $false|~spl0_6),
% 32.31/4.52 inference(forward_subsumption_resolution,[status(thm)],[f9,f107])).
% 32.31/4.52 fof(f336,plain,(
% 32.31/4.52 ~spl0_6),
% 32.31/4.52 inference(contradiction_clause,[status(thm)],[f335])).
% 32.31/4.52 fof(f399,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f14,f9])).
% 32.31/4.52 fof(f400,plain,(
% 32.31/4.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f14,f8])).
% 32.31/4.52 fof(f404,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f14,f10])).
% 32.31/4.52 fof(f443,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f399,f14])).
% 32.31/4.52 fof(f451,plain,(
% 32.31/4.52 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f404,f7])).
% 32.31/4.52 fof(f472,plain,(
% 32.31/4.52 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f451,f9])).
% 32.31/4.52 fof(f484,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f472,f85])).
% 32.31/4.52 fof(f562,plain,(
% 32.31/4.52 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f23,f404])).
% 32.31/4.52 fof(f564,plain,(
% 32.31/4.52 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f23,f9])).
% 32.31/4.52 fof(f578,plain,(
% 32.31/4.52 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f400,f7])).
% 32.31/4.52 fof(f912,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f484,f451])).
% 32.31/4.52 fof(f975,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f564,f912])).
% 32.31/4.52 fof(f995,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f975,f14])).
% 32.31/4.52 fof(f1021,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f995,f564])).
% 32.31/4.52 fof(f1051,plain,(
% 32.31/4.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f1021,f23])).
% 32.31/4.52 fof(f2164,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 32.31/4.52 inference(resolution,[status(thm)],[f1051,f443])).
% 32.31/4.52 fof(f2358,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f578,f2164])).
% 32.31/4.52 fof(f2368,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f578,f995])).
% 32.31/4.52 fof(f3132,plain,(
% 32.31/4.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X2,implies(X0,X1))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f2368,f7])).
% 32.31/4.52 fof(f3326,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f2358,f578])).
% 32.31/4.52 fof(f4185,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f3326,f451])).
% 32.31/4.52 fof(f4195,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f3326,f562])).
% 32.31/4.52 fof(f4236,plain,(
% 32.31/4.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f4185,f562])).
% 32.31/4.52 fof(f4286,plain,(
% 32.31/4.52 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 32.31/4.52 inference(resolution,[status(thm)],[f4236,f3132])).
% 32.31/4.54 fof(f4398,plain,(
% 32.31/4.54 spl0_138 <=> is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
% 32.31/4.54 introduced(split_symbol_definition)).
% 32.31/4.54 fof(f4399,plain,(
% 32.31/4.54 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_138)),
% 32.31/4.54 inference(component_clause,[status(thm)],[f4398])).
% 32.31/4.54 fof(f4401,plain,(
% 32.31/4.54 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))))),
% 32.31/4.54 inference(resolution,[status(thm)],[f4286,f37])).
% 32.31/4.54 fof(f4402,plain,(
% 32.31/4.54 spl0_6|spl0_138),
% 32.31/4.54 inference(split_clause,[status(thm)],[f4401,f106,f4398])).
% 32.31/4.54 fof(f4999,plain,(
% 32.31/4.54 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~spl0_138)),
% 32.31/4.54 inference(resolution,[status(thm)],[f7,f4399])).
% 32.31/4.54 fof(f6042,plain,(
% 32.31/4.54 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~spl0_138)),
% 32.31/4.54 inference(resolution,[status(thm)],[f4999,f3326])).
% 32.31/4.54 fof(f6101,plain,(
% 32.31/4.54 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_138)),
% 32.31/4.54 inference(resolution,[status(thm)],[f6042,f562])).
% 32.31/4.54 fof(f6173,plain,(
% 32.31/4.54 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_138)),
% 32.31/4.54 inference(resolution,[status(thm)],[f6101,f564])).
% 32.31/4.54 fof(f17420,plain,(
% 32.31/4.54 ~is_a_theorem(implies(not(not(x)),x))),
% 32.31/4.54 inference(resolution,[status(thm)],[f67,f4195])).
% 32.31/4.54 fof(f17421,plain,(
% 32.31/4.54 $false|~spl0_138),
% 32.31/4.54 inference(forward_subsumption_resolution,[status(thm)],[f17420,f6173])).
% 32.31/4.54 fof(f17422,plain,(
% 32.31/4.54 ~spl0_138),
% 32.31/4.54 inference(contradiction_clause,[status(thm)],[f17421])).
% 32.31/4.54 fof(f17423,plain,(
% 32.31/4.54 $false),
% 32.31/4.54 inference(sat_refutation,[status(thm)],[f336,f4402,f17422])).
% 32.31/4.54 % SZS output end CNFRefutation for theBenchmark.p
% 32.96/4.59 % Elapsed time: 4.235177 seconds
% 32.96/4.59 % CPU time: 32.949968 seconds
% 32.96/4.59 % Memory used: 368.929 MB
%------------------------------------------------------------------------------