TSTP Solution File: LCL208-3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:18:40 EDT 2023
% Result : Unsatisfiable 103.60s 13.51s
% Output : CNFRefutation 103.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n029.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 09:53:07 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Drodi V3.5.1
% 103.60/13.51 % Refutation found
% 103.60/13.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 103.60/13.51 % SZS output start CNFRefutation for theBenchmark
% 103.60/13.51 fof(f1,axiom,(
% 103.60/13.51 (![A]: (axiom(implies(or(A,A),A)) ))),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f2,axiom,(
% 103.60/13.51 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f3,axiom,(
% 103.60/13.51 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f4,axiom,(
% 103.60/13.51 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f5,axiom,(
% 103.60/13.51 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f6,axiom,(
% 103.60/13.51 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f7,axiom,(
% 103.60/13.51 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f8,axiom,(
% 103.60/13.51 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f9,negated_conjecture,(
% 103.60/13.51 ~ theorem(implies(or(p,q),implies(not(p),q))) ),
% 103.60/13.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 103.60/13.51 fof(f10,plain,(
% 103.60/13.51 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f1])).
% 103.60/13.51 fof(f11,plain,(
% 103.60/13.51 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f2])).
% 103.60/13.51 fof(f12,plain,(
% 103.60/13.51 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f3])).
% 103.60/13.51 fof(f13,plain,(
% 103.60/13.51 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f4])).
% 103.60/13.51 fof(f14,plain,(
% 103.60/13.51 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f5])).
% 103.60/13.51 fof(f15,plain,(
% 103.60/13.51 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f6])).
% 103.60/13.51 fof(f16,plain,(
% 103.60/13.51 ![X0]: (theorem(X0)|~axiom(X0))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f7])).
% 103.60/13.51 fof(f17,plain,(
% 103.60/13.51 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 103.60/13.51 inference(miniscoping,[status(esa)],[f8])).
% 103.60/13.51 fof(f18,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f17])).
% 103.60/13.51 fof(f19,plain,(
% 103.60/13.51 ~theorem(implies(or(p,q),implies(not(p),q)))),
% 103.60/13.51 inference(cnf_transformation,[status(esa)],[f9])).
% 103.60/13.51 fof(f20,plain,(
% 103.60/13.51 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 103.60/13.51 inference(resolution,[status(thm)],[f10,f16])).
% 103.60/13.51 fof(f22,plain,(
% 103.60/13.51 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 103.60/13.51 inference(resolution,[status(thm)],[f20,f18])).
% 103.60/13.51 fof(f27,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 103.60/13.51 inference(resolution,[status(thm)],[f11,f16])).
% 103.60/13.51 fof(f29,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 103.60/13.51 inference(resolution,[status(thm)],[f27,f18])).
% 103.60/13.51 fof(f32,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 103.60/13.51 inference(paramodulation,[status(thm)],[f15,f29])).
% 103.60/13.51 fof(f38,plain,(
% 103.60/13.51 spl0_1 <=> ~theorem(X1)),
% 103.60/13.51 introduced(split_symbol_definition)).
% 103.60/13.51 fof(f39,plain,(
% 103.60/13.51 ![X0]: (~theorem(X0)|~spl0_1)),
% 103.60/13.51 inference(component_clause,[status(thm)],[f38])).
% 103.60/13.51 fof(f44,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 103.60/13.51 inference(resolution,[status(thm)],[f12,f16])).
% 103.60/13.51 fof(f47,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 103.60/13.51 inference(resolution,[status(thm)],[f44,f18])).
% 103.60/13.51 fof(f49,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 103.60/13.51 inference(paramodulation,[status(thm)],[f15,f44])).
% 103.60/13.51 fof(f51,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 103.60/13.51 inference(paramodulation,[status(thm)],[f15,f47])).
% 103.60/13.51 fof(f61,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 103.60/13.51 inference(resolution,[status(thm)],[f49,f18])).
% 103.60/13.51 fof(f65,plain,(
% 103.60/13.51 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 103.60/13.51 inference(paramodulation,[status(thm)],[f15,f51])).
% 103.76/13.52 fof(f71,plain,(
% 103.76/13.52 ![X0,X1]: (~theorem(or(X0,not(X1)))|theorem(X0)|~theorem(X1))),
% 103.76/13.52 inference(resolution,[status(thm)],[f61,f18])).
% 103.76/13.52 fof(f90,plain,(
% 103.76/13.52 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 103.76/13.52 inference(paramodulation,[status(thm)],[f15,f13])).
% 103.76/13.52 fof(f91,plain,(
% 103.76/13.52 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 103.76/13.52 inference(forward_demodulation,[status(thm)],[f15,f90])).
% 103.76/13.52 fof(f92,plain,(
% 103.76/13.52 ![X0,X1,X2]: (axiom(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))))),
% 103.76/13.52 inference(paramodulation,[status(thm)],[f15,f13])).
% 103.76/13.52 fof(f93,plain,(
% 103.76/13.52 ![X0,X1,X2]: (axiom(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))))),
% 103.76/13.52 inference(forward_demodulation,[status(thm)],[f15,f92])).
% 103.76/13.52 fof(f110,plain,(
% 103.76/13.52 ![X0,X1]: (~axiom(implies(X0,X1))|theorem(X1)|~theorem(X0))),
% 103.76/13.52 inference(resolution,[status(thm)],[f16,f18])).
% 103.76/13.52 fof(f135,plain,(
% 103.76/13.52 ![X0,X1]: (theorem(implies(X0,X1))|~axiom(X1))),
% 103.76/13.52 inference(resolution,[status(thm)],[f32,f16])).
% 103.76/13.52 fof(f154,plain,(
% 103.76/13.52 spl0_4 <=> ~axiom(X0)|theorem(X0)),
% 103.76/13.52 introduced(split_symbol_definition)).
% 103.76/13.52 fof(f155,plain,(
% 103.76/13.52 ![X0]: (~axiom(X0)|theorem(X0)|~spl0_4)),
% 103.76/13.52 inference(component_clause,[status(thm)],[f154])).
% 103.76/13.52 fof(f157,plain,(
% 103.76/13.52 ![X0,X1]: (~axiom(X0)|theorem(X0)|~theorem(X1))),
% 103.76/13.52 inference(resolution,[status(thm)],[f135,f18])).
% 103.76/13.52 fof(f158,plain,(
% 103.76/13.52 spl0_4|spl0_1),
% 103.76/13.52 inference(split_clause,[status(thm)],[f157,f154,f38])).
% 103.76/13.52 fof(f165,plain,(
% 103.76/13.52 $false|~spl0_1),
% 103.76/13.52 inference(backward_subsumption_resolution,[status(thm)],[f44,f39])).
% 103.76/13.52 fof(f166,plain,(
% 103.76/13.52 ~spl0_1),
% 103.76/13.52 inference(contradiction_clause,[status(thm)],[f165])).
% 103.76/13.52 fof(f210,plain,(
% 103.76/13.52 ![X0,X1]: (theorem(or(X0,X1))|~axiom(or(X1,X0))|~spl0_4)),
% 103.76/13.52 inference(resolution,[status(thm)],[f47,f155])).
% 103.76/13.52 fof(f241,plain,(
% 103.76/13.52 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 103.76/13.52 inference(resolution,[status(thm)],[f14,f110])).
% 103.76/13.52 fof(f273,plain,(
% 103.76/13.52 ![X0,X1]: (theorem(or(X0,not(X1)))|~axiom(implies(X1,X0))|~spl0_4)),
% 103.76/13.52 inference(paramodulation,[status(thm)],[f15,f210])).
% 103.76/13.52 fof(f679,plain,(
% 103.76/13.52 ![X0]: (~theorem(or(implies(or(p,q),implies(not(p),q)),not(X0)))|~theorem(X0))),
% 103.76/13.52 inference(resolution,[status(thm)],[f71,f19])).
% 103.76/13.52 fof(f730,plain,(
% 103.76/13.52 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2)))))),
% 103.76/13.52 inference(paramodulation,[status(thm)],[f15,f93])).
% 103.76/13.52 fof(f731,plain,(
% 103.76/13.52 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 103.76/13.52 inference(forward_demodulation,[status(thm)],[f15,f730])).
% 103.76/13.52 fof(f735,plain,(
% 103.76/13.52 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 103.76/13.52 inference(resolution,[status(thm)],[f91,f110])).
% 103.76/13.52 fof(f1155,plain,(
% 103.76/13.52 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 103.76/13.52 inference(resolution,[status(thm)],[f241,f18])).
% 103.76/13.52 fof(f1300,plain,(
% 103.76/13.52 ![X0,X1,X2]: (theorem(or(implies(X0,implies(X1,X2)),not(implies(X1,implies(X0,X2)))))|~spl0_4)),
% 103.76/13.52 inference(resolution,[status(thm)],[f731,f273])).
% 103.76/13.52 fof(f1514,plain,(
% 103.76/13.52 ~theorem(implies(not(p),implies(or(p,q),q)))|~spl0_4),
% 103.76/13.52 inference(resolution,[status(thm)],[f679,f1300])).
% 103.76/13.52 fof(f1608,plain,(
% 103.76/13.52 ![X0,X1,X2]: (~theorem(implies(X0,or(X1,X2)))|theorem(or(implies(X0,X2),X1)))),
% 103.76/13.52 inference(resolution,[status(thm)],[f735,f47])).
% 103.76/13.52 fof(f1609,plain,(
% 103.76/13.52 ![X0,X1]: (~theorem(implies(X0,or(implies(X0,X1),X1)))|theorem(implies(X0,X1)))),
% 103.76/13.52 inference(resolution,[status(thm)],[f735,f22])).
% 103.76/13.52 fof(f1753,plain,(
% 103.76/13.52 ![X0,X1,X2]: (~theorem(implies(X0,X1))|~theorem(or(X2,X0))|theorem(or(X1,X2)))),
% 103.76/13.52 inference(resolution,[status(thm)],[f1155,f47])).
% 103.76/13.52 fof(f3929,plain,(
% 103.76/13.52 ![X0]: (theorem(implies(X0,X0)))),
% 103.76/13.52 inference(resolution,[status(thm)],[f1609,f27])).
% 103.76/13.52 fof(f4333,plain,(
% 103.76/13.52 ![X0]: (theorem(implies(X0,not(not(X0)))))),
% 103.76/13.52 inference(resolution,[status(thm)],[f3929,f65])).
% 103.76/13.52 fof(f7597,plain,(
% 103.76/13.52 ![X0,X1]: (~theorem(or(X0,X1))|theorem(or(not(not(X1)),X0)))),
% 103.76/13.52 inference(resolution,[status(thm)],[f1753,f4333])).
% 103.76/13.52 fof(f7598,plain,(
% 103.76/13.52 ![X0,X1]: (~theorem(or(X0,X1))|theorem(implies(not(X1),X0)))),
% 103.76/13.52 inference(forward_demodulation,[status(thm)],[f15,f7597])).
% 103.76/13.52 fof(f7795,plain,(
% 103.76/13.58 ~theorem(or(implies(or(p,q),q),p))|~spl0_4),
% 103.76/13.58 inference(resolution,[status(thm)],[f7598,f1514])).
% 103.76/13.58 fof(f11294,plain,(
% 103.76/13.58 ~theorem(implies(or(p,q),or(p,q)))|~spl0_4),
% 103.76/13.58 inference(resolution,[status(thm)],[f7795,f1608])).
% 103.76/13.58 fof(f11295,plain,(
% 103.76/13.58 $false|~spl0_4),
% 103.76/13.58 inference(forward_subsumption_resolution,[status(thm)],[f11294,f3929])).
% 103.76/13.58 fof(f11296,plain,(
% 103.76/13.58 ~spl0_4),
% 103.76/13.58 inference(contradiction_clause,[status(thm)],[f11295])).
% 103.76/13.58 fof(f11297,plain,(
% 103.76/13.58 $false),
% 103.76/13.58 inference(sat_refutation,[status(thm)],[f158,f166,f11296])).
% 103.76/13.58 % SZS output end CNFRefutation for theBenchmark.p
% 106.25/14.79 % Elapsed time: 14.283399 seconds
% 106.25/14.79 % CPU time: 98.222491 seconds
% 106.25/14.79 % Memory used: 648.629 MB
%------------------------------------------------------------------------------