TSTP Solution File: LCL187-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL187-3 : 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 : Tue Apr 30 20:26:36 EDT 2024
% Result : Unsatisfiable 4.06s 0.88s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL187-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:03:28 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 4.06/0.88 % Refutation found
% 4.06/0.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.06/0.88 % SZS output start CNFRefutation for theBenchmark
% 4.06/0.88 fof(f2,axiom,(
% 4.06/0.88 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 4.06/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.06/0.88 fof(f3,axiom,(
% 4.06/0.88 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 4.06/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.06/0.88 fof(f4,axiom,(
% 4.06/0.88 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 4.06/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.06/0.88 fof(f5,axiom,(
% 4.06/0.88 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 4.06/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.06/0.88 fof(f6,axiom,(
% 4.06/0.88 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 4.06/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.06/0.88 fof(f7,axiom,(
% 4.06/0.88 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 4.06/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.06/0.88 fof(f8,axiom,(
% 4.06/0.88 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 4.06/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.06/0.88 fof(f9,negated_conjecture,(
% 4.06/0.88 ~ theorem(implies(p,implies(not(p),q))) ),
% 4.06/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.06/0.88 fof(f11,plain,(
% 4.06/0.88 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 4.06/0.88 inference(cnf_transformation,[status(esa)],[f2])).
% 4.06/0.88 fof(f12,plain,(
% 4.06/0.88 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 4.06/0.88 inference(cnf_transformation,[status(esa)],[f3])).
% 4.06/0.88 fof(f13,plain,(
% 4.06/0.88 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 4.06/0.88 inference(cnf_transformation,[status(esa)],[f4])).
% 4.06/0.88 fof(f14,plain,(
% 4.06/0.88 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 4.06/0.88 inference(cnf_transformation,[status(esa)],[f5])).
% 4.06/0.88 fof(f15,plain,(
% 4.06/0.88 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 4.06/0.88 inference(cnf_transformation,[status(esa)],[f6])).
% 4.06/0.88 fof(f16,plain,(
% 4.06/0.88 ![X0]: (theorem(X0)|~axiom(X0))),
% 4.06/0.88 inference(cnf_transformation,[status(esa)],[f7])).
% 4.06/0.88 fof(f17,plain,(
% 4.06/0.88 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 4.06/0.88 inference(miniscoping,[status(esa)],[f8])).
% 4.06/0.88 fof(f18,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 4.06/0.88 inference(cnf_transformation,[status(esa)],[f17])).
% 4.06/0.88 fof(f19,plain,(
% 4.06/0.88 ~theorem(implies(p,implies(not(p),q)))),
% 4.06/0.88 inference(cnf_transformation,[status(esa)],[f9])).
% 4.06/0.88 fof(f27,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 4.06/0.88 inference(resolution,[status(thm)],[f11,f16])).
% 4.06/0.88 fof(f29,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 4.06/0.88 inference(resolution,[status(thm)],[f27,f18])).
% 4.06/0.88 fof(f30,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 4.06/0.88 inference(paramodulation,[status(thm)],[f15,f27])).
% 4.06/0.88 fof(f32,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 4.06/0.88 inference(paramodulation,[status(thm)],[f15,f29])).
% 4.06/0.88 fof(f38,plain,(
% 4.06/0.88 spl0_1 <=> ~theorem(X1)),
% 4.06/0.88 introduced(split_symbol_definition)).
% 4.06/0.88 fof(f39,plain,(
% 4.06/0.88 ![X0]: (~theorem(X0)|~spl0_1)),
% 4.06/0.88 inference(component_clause,[status(thm)],[f38])).
% 4.06/0.88 fof(f44,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 4.06/0.88 inference(resolution,[status(thm)],[f12,f16])).
% 4.06/0.88 fof(f47,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 4.06/0.88 inference(resolution,[status(thm)],[f44,f18])).
% 4.06/0.88 fof(f49,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 4.06/0.88 inference(paramodulation,[status(thm)],[f15,f44])).
% 4.06/0.88 fof(f51,plain,(
% 4.06/0.88 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 4.06/0.88 inference(paramodulation,[status(thm)],[f15,f47])).
% 4.06/0.88 fof(f67,plain,(
% 4.06/0.88 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 4.06/0.88 inference(resolution,[status(thm)],[f13,f16])).
% 4.06/0.88 fof(f76,plain,(
% 4.06/0.88 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 4.06/0.88 inference(resolution,[status(thm)],[f14,f16])).
% 4.06/0.88 fof(f81,plain,(
% 4.06/0.88 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 4.06/0.88 inference(resolution,[status(thm)],[f67,f18])).
% 4.06/0.88 fof(f142,plain,(
% 4.06/0.88 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,or(X2,X1)))))),
% 4.06/0.88 inference(resolution,[status(thm)],[f32,f27])).
% 4.06/0.88 fof(f143,plain,(
% 4.06/0.88 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 4.06/0.89 inference(resolution,[status(thm)],[f32,f30])).
% 4.06/0.89 fof(f210,plain,(
% 4.06/0.89 spl0_5 <=> theorem(implies(X0,or(X1,X0)))),
% 4.06/0.89 introduced(split_symbol_definition)).
% 4.06/0.89 fof(f211,plain,(
% 4.06/0.89 ![X0,X1]: (theorem(implies(X0,or(X1,X0)))|~spl0_5)),
% 4.06/0.89 inference(component_clause,[status(thm)],[f210])).
% 4.06/0.89 fof(f213,plain,(
% 4.06/0.89 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X0)))|~theorem(X2))),
% 4.06/0.89 inference(resolution,[status(thm)],[f142,f18])).
% 4.06/0.89 fof(f214,plain,(
% 4.06/0.89 spl0_5|spl0_1),
% 4.06/0.89 inference(split_clause,[status(thm)],[f213,f210,f38])).
% 4.06/0.89 fof(f219,plain,(
% 4.06/0.89 spl0_6 <=> theorem(implies(X0,implies(X1,X0)))),
% 4.06/0.89 introduced(split_symbol_definition)).
% 4.06/0.89 fof(f220,plain,(
% 4.06/0.89 ![X0,X1]: (theorem(implies(X0,implies(X1,X0)))|~spl0_6)),
% 4.06/0.89 inference(component_clause,[status(thm)],[f219])).
% 4.06/0.89 fof(f222,plain,(
% 4.06/0.89 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X0)))|~theorem(X2))),
% 4.06/0.89 inference(resolution,[status(thm)],[f143,f18])).
% 4.06/0.89 fof(f223,plain,(
% 4.06/0.89 spl0_6|spl0_1),
% 4.06/0.89 inference(split_clause,[status(thm)],[f222,f219,f38])).
% 4.06/0.89 fof(f227,plain,(
% 4.06/0.89 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 4.06/0.89 inference(resolution,[status(thm)],[f76,f18])).
% 4.06/0.89 fof(f251,plain,(
% 4.06/0.89 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 4.06/0.89 inference(resolution,[status(thm)],[f51,f27])).
% 4.06/0.89 fof(f288,plain,(
% 4.06/0.89 $false|~spl0_1),
% 4.06/0.89 inference(backward_subsumption_resolution,[status(thm)],[f251,f39])).
% 4.06/0.89 fof(f289,plain,(
% 4.06/0.89 ~spl0_1),
% 4.06/0.89 inference(contradiction_clause,[status(thm)],[f288])).
% 4.06/0.89 fof(f295,plain,(
% 4.06/0.89 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1)|~spl0_5)),
% 4.06/0.89 inference(resolution,[status(thm)],[f18,f211])).
% 4.06/0.89 fof(f405,plain,(
% 4.06/0.89 ![X0,X1,X2]: (~theorem(or(X0,X1))|theorem(or(X2,or(X1,X0)))|~spl0_5)),
% 4.06/0.89 inference(resolution,[status(thm)],[f47,f295])).
% 4.06/0.89 fof(f523,plain,(
% 4.06/0.89 ![X0,X1,X2]: (~theorem(or(X0,not(X1)))|theorem(or(X2,implies(X1,X0)))|~spl0_5)),
% 4.06/0.89 inference(paramodulation,[status(thm)],[f15,f405])).
% 4.06/0.89 fof(f675,plain,(
% 4.06/0.89 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(X1,or(not(X0),X2))))),
% 4.06/0.89 inference(paramodulation,[status(thm)],[f15,f81])).
% 4.06/0.89 fof(f676,plain,(
% 4.06/0.89 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 4.06/0.89 inference(forward_demodulation,[status(thm)],[f15,f675])).
% 4.06/0.89 fof(f1119,plain,(
% 4.06/0.89 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 4.06/0.89 inference(resolution,[status(thm)],[f227,f18])).
% 4.06/0.89 fof(f1331,plain,(
% 4.06/0.89 ![X0,X1,X2]: (~theorem(or(X0,implies(X1,X2)))|theorem(or(X0,X2))|~theorem(X1))),
% 4.06/0.89 inference(resolution,[status(thm)],[f676,f18])).
% 4.06/0.89 fof(f1360,plain,(
% 4.06/0.89 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(or(not(X2),X0)))),
% 4.06/0.89 inference(paramodulation,[status(thm)],[f15,f1119])).
% 4.06/0.89 fof(f1361,plain,(
% 4.06/0.89 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 4.06/0.89 inference(forward_demodulation,[status(thm)],[f15,f1360])).
% 4.06/0.89 fof(f1671,plain,(
% 4.06/0.89 ![X0,X1,X2]: (~theorem(or(not(X0),implies(X1,X2)))|theorem(implies(X0,X2))|~theorem(X1))),
% 4.06/0.89 inference(paramodulation,[status(thm)],[f15,f1331])).
% 4.06/0.89 fof(f1672,plain,(
% 4.06/0.89 ![X0,X1,X2]: (~theorem(implies(X0,implies(X1,X2)))|theorem(implies(X0,X2))|~theorem(X1))),
% 4.06/0.89 inference(forward_demodulation,[status(thm)],[f15,f1671])).
% 4.06/0.89 fof(f1825,plain,(
% 4.06/0.89 ![X0]: (~theorem(implies(X0,implies(not(p),q)))|~theorem(implies(p,X0)))),
% 4.06/0.89 inference(resolution,[status(thm)],[f1361,f19])).
% 4.06/0.89 fof(f2605,plain,(
% 4.06/0.89 spl0_70 <=> theorem(implies(X0,X0))),
% 4.06/0.89 introduced(split_symbol_definition)).
% 4.06/0.89 fof(f2606,plain,(
% 4.06/0.89 ![X0]: (theorem(implies(X0,X0))|~spl0_70)),
% 4.06/0.89 inference(component_clause,[status(thm)],[f2605])).
% 4.06/0.89 fof(f2608,plain,(
% 4.06/0.89 ![X0,X1]: (theorem(implies(X0,X0))|~theorem(X1)|~spl0_6)),
% 4.06/0.89 inference(resolution,[status(thm)],[f1672,f220])).
% 4.06/0.89 fof(f2609,plain,(
% 4.06/0.89 spl0_70|spl0_1|~spl0_6),
% 4.06/0.89 inference(split_clause,[status(thm)],[f2608,f2605,f38,f219])).
% 4.06/0.89 fof(f3642,plain,(
% 4.06/0.89 ~theorem(implies(p,or(q,not(not(p)))))),
% 4.06/0.89 inference(resolution,[status(thm)],[f1825,f49])).
% 4.06/0.89 fof(f3666,plain,(
% 4.06/0.89 ~theorem(or(q,implies(p,not(not(p)))))),
% 4.06/0.89 inference(resolution,[status(thm)],[f3642,f676])).
% 4.06/0.89 fof(f3676,plain,(
% 4.06/0.89 ~theorem(or(not(not(p)),not(p)))|~spl0_5),
% 4.06/0.89 inference(resolution,[status(thm)],[f3666,f523])).
% 4.06/0.89 fof(f3677,plain,(
% 4.06/0.89 ~theorem(implies(not(p),not(p)))|~spl0_5),
% 4.06/0.89 inference(forward_demodulation,[status(thm)],[f15,f3676])).
% 4.06/0.89 fof(f3678,plain,(
% 4.06/0.89 $false|~spl0_70|~spl0_5),
% 4.06/0.89 inference(forward_subsumption_resolution,[status(thm)],[f3677,f2606])).
% 4.06/0.89 fof(f3679,plain,(
% 4.06/0.89 ~spl0_70|~spl0_5),
% 4.06/0.89 inference(contradiction_clause,[status(thm)],[f3678])).
% 4.06/0.89 fof(f3680,plain,(
% 4.06/0.89 $false),
% 4.06/0.89 inference(sat_refutation,[status(thm)],[f214,f223,f289,f2609,f3679])).
% 4.06/0.89 % SZS output end CNFRefutation for theBenchmark.p
% 4.06/0.91 % Elapsed time: 0.552893 seconds
% 4.06/0.91 % CPU time: 4.209975 seconds
% 4.06/0.91 % Total memory used: 95.358 MB
% 4.06/0.91 % Net memory used: 89.490 MB
%------------------------------------------------------------------------------