TSTP Solution File: LCL080-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:18:12 EDT 2023
% Result : Unsatisfiable 19.99s 2.89s
% Output : CNFRefutation 20.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue May 30 09:39:01 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Drodi V3.5.1
% 19.99/2.89 % Refutation found
% 19.99/2.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.99/2.89 % SZS output start CNFRefutation for theBenchmark
% 19.99/2.89 fof(f1,axiom,(
% 19.99/2.89 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 19.99/2.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.99/2.89 fof(f3,axiom,(
% 19.99/2.89 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 19.99/2.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.99/2.89 fof(f4,axiom,(
% 19.99/2.89 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),X),X)) ))),
% 19.99/2.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.99/2.89 fof(f5,axiom,(
% 19.99/2.89 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 19.99/2.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.99/2.89 fof(f6,negated_conjecture,(
% 19.99/2.89 ~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))) ),
% 19.99/2.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.99/2.89 fof(f7,plain,(
% 19.99/2.89 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 19.99/2.89 inference(miniscoping,[status(esa)],[f1])).
% 19.99/2.89 fof(f8,plain,(
% 19.99/2.89 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 19.99/2.89 inference(cnf_transformation,[status(esa)],[f7])).
% 19.99/2.89 fof(f10,plain,(
% 19.99/2.89 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 19.99/2.89 inference(cnf_transformation,[status(esa)],[f3])).
% 19.99/2.89 fof(f11,plain,(
% 19.99/2.89 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0)))),
% 19.99/2.89 inference(cnf_transformation,[status(esa)],[f4])).
% 19.99/2.89 fof(f12,plain,(
% 19.99/2.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 19.99/2.89 inference(cnf_transformation,[status(esa)],[f5])).
% 19.99/2.89 fof(f13,plain,(
% 19.99/2.89 ~is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))),
% 19.99/2.89 inference(cnf_transformation,[status(esa)],[f6])).
% 19.99/2.89 fof(f14,plain,(
% 19.99/2.89 ![X0]: (~is_a_theorem(implies(X0,implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))))|~is_a_theorem(X0))),
% 19.99/2.89 inference(resolution,[status(thm)],[f8,f13])).
% 19.99/2.89 fof(f17,plain,(
% 19.99/2.89 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X1,implies(X0,implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))))|~is_a_theorem(X1))),
% 19.99/2.89 inference(resolution,[status(thm)],[f14,f8])).
% 19.99/2.89 fof(f42,plain,(
% 19.99/2.89 spl0_0 <=> ~is_a_theorem(X0)),
% 19.99/2.89 introduced(split_symbol_definition)).
% 19.99/2.89 fof(f43,plain,(
% 19.99/2.89 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 19.99/2.89 inference(component_clause,[status(thm)],[f42])).
% 19.99/2.89 fof(f51,plain,(
% 19.99/2.89 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(implies(X2,implies(X1,implies(X0,implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))))))|~is_a_theorem(X2))),
% 19.99/2.89 inference(resolution,[status(thm)],[f17,f8])).
% 19.99/2.89 fof(f126,plain,(
% 19.99/2.89 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(X2)|~is_a_theorem(implies(X3,implies(X2,implies(X1,implies(X0,implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))))))|~is_a_theorem(X3))),
% 19.99/2.89 inference(resolution,[status(thm)],[f51,f8])).
% 19.99/2.89 fof(f127,plain,(
% 19.99/2.89 $false|~spl0_0),
% 19.99/2.89 inference(backward_subsumption_resolution,[status(thm)],[f11,f43])).
% 19.99/2.89 fof(f128,plain,(
% 19.99/2.89 ~spl0_0),
% 19.99/2.89 inference(contradiction_clause,[status(thm)],[f127])).
% 19.99/2.89 fof(f200,plain,(
% 19.99/2.89 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 19.99/2.89 inference(resolution,[status(thm)],[f8,f10])).
% 19.99/2.89 fof(f201,plain,(
% 19.99/2.89 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 19.99/2.89 inference(resolution,[status(thm)],[f200,f10])).
% 19.99/2.89 fof(f260,plain,(
% 19.99/2.89 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))))),
% 19.99/2.89 inference(resolution,[status(thm)],[f11,f200])).
% 19.99/2.89 fof(f318,plain,(
% 19.99/2.89 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 19.99/2.89 inference(resolution,[status(thm)],[f12,f8])).
% 19.99/2.89 fof(f319,plain,(
% 19.99/2.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))))),
% 19.99/2.89 inference(resolution,[status(thm)],[f12,f200])).
% 19.99/2.89 fof(f412,plain,(
% 19.99/2.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 19.99/2.89 inference(resolution,[status(thm)],[f318,f12])).
% 20.65/2.92 fof(f413,plain,(
% 20.65/2.92 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X0),X2),implies(X3,X2))))),
% 20.65/2.92 inference(resolution,[status(thm)],[f318,f260])).
% 20.65/2.92 fof(f417,plain,(
% 20.65/2.92 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))))),
% 20.65/2.92 inference(resolution,[status(thm)],[f318,f201])).
% 20.65/2.92 fof(f430,plain,(
% 20.65/2.92 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3),implies(X4,X3))))),
% 20.65/2.92 inference(resolution,[status(thm)],[f319,f318])).
% 20.65/2.92 fof(f796,plain,(
% 20.65/2.92 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(implies(implies(X1,X4),implies(X0,X4)),X2),X3))))),
% 20.65/2.92 inference(resolution,[status(thm)],[f412,f318])).
% 20.65/2.92 fof(f797,plain,(
% 20.65/2.92 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 20.65/2.92 inference(resolution,[status(thm)],[f412,f8])).
% 20.65/2.92 fof(f2736,plain,(
% 20.65/2.92 spl0_152 <=> ~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5))),implies(X1,implies(X0,implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))))))),
% 20.65/2.92 introduced(split_symbol_definition)).
% 20.65/2.92 fof(f2737,plain,(
% 20.65/2.92 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),implies(X1,implies(X0,implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))))))|~spl0_152)),
% 20.65/2.92 inference(component_clause,[status(thm)],[f2736])).
% 20.65/2.92 fof(f2739,plain,(
% 20.65/2.92 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(X2)|~is_a_theorem(implies(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5))),implies(X1,implies(X0,implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))))))),
% 20.65/2.92 inference(resolution,[status(thm)],[f126,f430])).
% 20.65/2.92 fof(f2740,plain,(
% 20.65/2.92 spl0_152|spl0_0),
% 20.65/2.92 inference(split_clause,[status(thm)],[f2739,f2736,f42])).
% 20.65/2.92 fof(f3030,plain,(
% 20.65/2.92 ![X0,X1]: (~is_a_theorem(implies(X0,implies(implies(c,a),implies(e,a))))|~is_a_theorem(implies(implies(implies(c,X1),implies(implies(a,b),X1)),X0))|~spl0_152)),
% 20.65/2.92 inference(resolution,[status(thm)],[f2737,f796])).
% 20.65/2.92 fof(f3325,plain,(
% 20.65/2.92 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))),
% 20.65/2.92 inference(resolution,[status(thm)],[f797,f11])).
% 20.65/2.92 fof(f3515,plain,(
% 20.65/2.92 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1)))),
% 20.65/2.92 inference(resolution,[status(thm)],[f3325,f8])).
% 20.65/2.92 fof(f3542,plain,(
% 20.65/2.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X0),X2),X2)))),
% 20.65/2.92 inference(resolution,[status(thm)],[f3515,f413])).
% 20.65/2.92 fof(f3546,plain,(
% 20.65/2.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)))),
% 20.65/2.92 inference(resolution,[status(thm)],[f3515,f417])).
% 20.65/2.92 fof(f3822,plain,(
% 20.65/2.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))))),
% 20.65/2.92 inference(resolution,[status(thm)],[f3546,f797])).
% 20.65/2.92 fof(f4085,plain,(
% 20.65/2.92 ![X0]: (~is_a_theorem(implies(implies(implies(c,X0),implies(implies(a,b),X0)),implies(implies(c,a),a)))|~spl0_152)),
% 20.65/2.92 inference(resolution,[status(thm)],[f3822,f3030])).
% 20.65/2.92 fof(f5304,plain,(
% 20.65/2.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))))),
% 20.65/2.92 inference(resolution,[status(thm)],[f3542,f797])).
% 20.65/2.92 fof(f7565,plain,(
% 20.65/2.92 $false|~spl0_152),
% 20.65/2.92 inference(resolution,[status(thm)],[f5304,f4085])).
% 20.65/2.92 fof(f7566,plain,(
% 20.65/2.92 ~spl0_152),
% 20.65/2.92 inference(contradiction_clause,[status(thm)],[f7565])).
% 20.65/2.92 fof(f7567,plain,(
% 20.65/2.92 $false),
% 20.65/2.92 inference(sat_refutation,[status(thm)],[f128,f2740,f7566])).
% 20.65/2.92 % SZS output end CNFRefutation for theBenchmark.p
% 20.65/2.95 % Elapsed time: 2.651650 seconds
% 20.65/2.95 % CPU time: 20.961694 seconds
% 20.65/2.95 % Memory used: 340.142 MB
%------------------------------------------------------------------------------