TSTP Solution File: LCL373-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL373-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:27:03 EDT 2024
% Result : Unsatisfiable 171.89s 22.00s
% Output : CNFRefutation 172.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL373-1 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n027.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 20:48:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 171.89/22.00 % Refutation found
% 171.89/22.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 171.89/22.00 % SZS output start CNFRefutation for theBenchmark
% 171.89/22.00 fof(f1,axiom,(
% 171.89/22.00 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 171.89/22.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.89/22.00 fof(f2,axiom,(
% 171.89/22.00 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 171.89/22.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.89/22.00 fof(f3,axiom,(
% 171.89/22.00 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 171.89/22.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.89/22.00 fof(f4,axiom,(
% 171.89/22.00 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 171.89/22.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.89/22.00 fof(f5,negated_conjecture,(
% 171.89/22.00 ~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,z),z))) ),
% 171.89/22.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 171.89/22.00 fof(f6,plain,(
% 171.89/22.00 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 171.89/22.00 inference(miniscoping,[status(esa)],[f1])).
% 171.89/22.00 fof(f7,plain,(
% 171.89/22.00 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 171.89/22.00 inference(cnf_transformation,[status(esa)],[f6])).
% 171.89/22.00 fof(f8,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 171.89/22.00 inference(cnf_transformation,[status(esa)],[f2])).
% 171.89/22.00 fof(f9,plain,(
% 171.89/22.00 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 171.89/22.00 inference(cnf_transformation,[status(esa)],[f3])).
% 171.89/22.00 fof(f10,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 171.89/22.00 inference(cnf_transformation,[status(esa)],[f4])).
% 171.89/22.00 fof(f11,plain,(
% 171.89/22.00 ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,z),z)))),
% 171.89/22.00 inference(cnf_transformation,[status(esa)],[f5])).
% 171.89/22.00 fof(f12,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f8,f7])).
% 171.89/22.00 fof(f13,plain,(
% 171.89/22.00 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f12,f8])).
% 171.89/22.00 fof(f53,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f9,f12])).
% 171.89/22.00 fof(f56,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f10,f12])).
% 171.89/22.00 fof(f57,plain,(
% 171.89/22.00 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f10,f7])).
% 171.89/22.00 fof(f59,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f57,f12])).
% 171.89/22.00 fof(f69,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f53,f12])).
% 171.89/22.00 fof(f70,plain,(
% 171.89/22.00 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f53,f7])).
% 171.89/22.00 fof(f73,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f56,f7])).
% 171.89/22.00 fof(f81,plain,(
% 171.89/22.00 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f73,f9])).
% 171.89/22.00 fof(f84,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 171.89/22.00 inference(resolution,[status(thm)],[f73,f59])).
% 171.89/22.00 fof(f108,plain,(
% 171.89/22.00 spl0_3 <=> ~is_a_theorem(X1)),
% 171.89/22.00 introduced(split_symbol_definition)).
% 171.89/22.00 fof(f109,plain,(
% 171.89/22.00 ![X0]: (~is_a_theorem(X0)|~spl0_3)),
% 171.89/22.00 inference(component_clause,[status(thm)],[f108])).
% 171.89/22.00 fof(f221,plain,(
% 171.89/22.00 $false|~spl0_3),
% 171.89/22.00 inference(backward_subsumption_resolution,[status(thm)],[f9,f109])).
% 171.89/22.00 fof(f222,plain,(
% 171.89/22.00 ~spl0_3),
% 171.89/22.00 inference(contradiction_clause,[status(thm)],[f221])).
% 171.89/22.00 fof(f245,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f12,f7])).
% 171.89/22.00 fof(f289,plain,(
% 171.89/22.00 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|~is_a_theorem(implies(X2,X3))|is_a_theorem(implies(X0,X3)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f245,f73])).
% 171.89/22.00 fof(f290,plain,(
% 171.89/22.00 ![X0]: (~is_a_theorem(implies(implies(implies(x,y),z),X0))|~is_a_theorem(implies(X0,implies(implies(x,z),z))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f245,f11])).
% 171.89/22.00 fof(f301,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 171.89/22.00 inference(resolution,[status(thm)],[f245,f7])).
% 171.89/22.00 fof(f302,plain,(
% 171.89/22.00 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f13,f7])).
% 171.89/22.00 fof(f382,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f84,f81])).
% 171.89/22.00 fof(f434,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f9,f57])).
% 171.89/22.00 fof(f679,plain,(
% 171.89/22.00 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f245,f56])).
% 171.89/22.00 fof(f681,plain,(
% 171.89/22.00 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f245,f9])).
% 171.89/22.00 fof(f728,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f681,f382])).
% 171.89/22.00 fof(f760,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f728,f12])).
% 171.89/22.00 fof(f795,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f760,f681])).
% 171.89/22.00 fof(f812,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f795,f245])).
% 171.89/22.00 fof(f1263,plain,(
% 171.89/22.00 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(implies(not(X1),X1),X2),X3)))|~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),X3)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f301,f69])).
% 171.89/22.00 fof(f2287,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f812,f69])).
% 171.89/22.00 fof(f2326,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f2287,f302])).
% 171.89/22.00 fof(f2570,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f2326,f302])).
% 171.89/22.00 fof(f3024,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f2570,f73])).
% 171.89/22.00 fof(f3037,plain,(
% 171.89/22.00 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f2570,f7])).
% 171.89/22.00 fof(f4459,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f679,f2570])).
% 171.89/22.00 fof(f4490,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f679,f3024])).
% 171.89/22.00 fof(f4817,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(X2,X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f4490,f301])).
% 171.89/22.00 fof(f4821,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f4490,f12])).
% 171.89/22.00 fof(f5810,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f4821,f7])).
% 171.89/22.00 fof(f6476,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f5810,f2570])).
% 171.89/22.00 fof(f6491,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f5810,f8])).
% 171.89/22.00 fof(f6553,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6476,f679])).
% 171.89/22.00 fof(f6556,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(X0,X2),X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6476,f4817])).
% 171.89/22.00 fof(f6561,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X0),implies(implies(X0,X1),X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6476,f70])).
% 171.89/22.00 fof(f6583,plain,(
% 171.89/22.00 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6553,f681])).
% 171.89/22.00 fof(f6588,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X0,implies(X1,X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6553,f245])).
% 171.89/22.00 fof(f6599,plain,(
% 171.89/22.00 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6583,f3037])).
% 171.89/22.00 fof(f6998,plain,(
% 171.89/22.00 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6599,f73])).
% 171.89/22.00 fof(f7058,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(X0,not(not(implies(X1,X0))))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6998,f5810])).
% 171.89/22.00 fof(f7073,plain,(
% 171.89/22.00 ![X0]: (is_a_theorem(implies(implies(not(not(not(X0))),X0),X0)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6998,f3037])).
% 171.89/22.00 fof(f7081,plain,(
% 171.89/22.00 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,not(not(X1)))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6998,f245])).
% 171.89/22.00 fof(f7083,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(not(not(X0)),X1),implies(X0,X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f6998,f12])).
% 171.89/22.00 fof(f10020,plain,(
% 171.89/22.00 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(not(not(X0)),X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f7073,f289])).
% 171.89/22.00 fof(f10660,plain,(
% 171.89/22.00 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f4459,f7])).
% 171.89/22.00 fof(f12688,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f7083,f289])).
% 171.89/22.00 fof(f15558,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(X0,not(X1)))|~is_a_theorem(implies(X1,not(X0))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f10660,f10020])).
% 171.89/22.00 fof(f15596,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f10660,f7081])).
% 171.89/22.00 fof(f15928,plain,(
% 171.89/22.00 spl0_310 <=> is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X1),X1))),
% 171.89/22.00 introduced(split_symbol_definition)).
% 171.89/22.00 fof(f15929,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X0),X0))|~spl0_310)),
% 171.89/22.00 inference(component_clause,[status(thm)],[f15928])).
% 171.89/22.00 fof(f15931,plain,(
% 171.89/22.00 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X1),X1)))),
% 171.89/22.00 inference(resolution,[status(thm)],[f1263,f6556])).
% 171.89/22.00 fof(f15932,plain,(
% 171.89/22.00 spl0_3|spl0_310),
% 171.89/22.00 inference(split_clause,[status(thm)],[f15931,f108,f15928])).
% 171.89/22.00 fof(f19736,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X1)),not(X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f15558,f7058])).
% 171.89/22.00 fof(f36726,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(implies(X0,X1),X1))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f12688,f6561])).
% 171.89/22.00 fof(f36878,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(X0,X1),X1)),not(X0))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f36726,f15596])).
% 171.89/22.00 fof(f36958,plain,(
% 171.89/22.00 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(implies(X0,X1),X1)),implies(X0,X2))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f36878,f6588])).
% 171.89/22.00 fof(f63755,plain,(
% 171.89/22.00 ![X0]: (~is_a_theorem(implies(implies(X0,z),implies(implies(x,z),z)))|~is_a_theorem(implies(X0,implies(x,y))))),
% 171.89/22.00 inference(resolution,[status(thm)],[f290,f12])).
% 171.89/22.00 fof(f77576,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1))|~spl0_310)),
% 171.89/22.00 inference(resolution,[status(thm)],[f15929,f434])).
% 171.89/22.00 fof(f89210,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))|~spl0_310)),
% 171.89/22.00 inference(resolution,[status(thm)],[f77576,f302])).
% 171.89/22.00 fof(f92558,plain,(
% 171.89/22.00 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0)))|~spl0_310)),
% 172.48/22.06 inference(resolution,[status(thm)],[f89210,f302])).
% 172.48/22.06 fof(f97143,plain,(
% 172.48/22.06 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0))|~spl0_310)),
% 172.48/22.06 inference(resolution,[status(thm)],[f92558,f7])).
% 172.48/22.06 fof(f103327,plain,(
% 172.48/22.06 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),implies(X1,X0)),implies(X1,X0)))|~spl0_310)),
% 172.48/22.06 inference(resolution,[status(thm)],[f97143,f19736])).
% 172.48/22.06 fof(f104973,plain,(
% 172.48/22.06 ![X0,X1]: (~is_a_theorem(implies(not(X0),implies(X1,X0)))|is_a_theorem(implies(X1,X0))|~spl0_310)),
% 172.48/22.06 inference(resolution,[status(thm)],[f103327,f7])).
% 172.48/22.06 fof(f107211,plain,(
% 172.48/22.06 ![X0,X1]: (is_a_theorem(implies(implies(not(implies(X0,X1)),X1),implies(X0,X1)))|~spl0_310)),
% 172.48/22.06 inference(resolution,[status(thm)],[f104973,f6491])).
% 172.48/22.06 fof(f107598,plain,(
% 172.48/22.06 ~is_a_theorem(implies(not(implies(implies(x,z),z)),implies(x,y)))|~spl0_310),
% 172.48/22.06 inference(resolution,[status(thm)],[f107211,f63755])).
% 172.48/22.06 fof(f107599,plain,(
% 172.48/22.06 $false|~spl0_310),
% 172.48/22.06 inference(forward_subsumption_resolution,[status(thm)],[f107598,f36958])).
% 172.48/22.06 fof(f107600,plain,(
% 172.48/22.06 ~spl0_310),
% 172.48/22.06 inference(contradiction_clause,[status(thm)],[f107599])).
% 172.48/22.06 fof(f107601,plain,(
% 172.48/22.06 $false),
% 172.48/22.06 inference(sat_refutation,[status(thm)],[f222,f15932,f107600])).
% 172.48/22.06 % SZS output end CNFRefutation for theBenchmark.p
% 174.00/22.32 % Elapsed time: 21.951251 seconds
% 174.00/22.32 % CPU time: 173.703605 seconds
% 174.00/22.32 % Total memory used: 1.832 GB
% 174.00/22.32 % Net memory used: 1.693 GB
%------------------------------------------------------------------------------