TSTP Solution File: LCL218-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL218-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:26:45 EDT 2024
% Result : Unsatisfiable 6.67s 1.12s
% Output : CNFRefutation 6.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LCL218-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Apr 29 20:30:06 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 6.67/1.12 % Refutation found
% 6.67/1.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.67/1.12 % SZS output start CNFRefutation for theBenchmark
% 6.67/1.12 fof(f1,axiom,(
% 6.67/1.12 (![A]: (axiom(implies(or(A,A),A)) ))),
% 6.67/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.12 fof(f2,axiom,(
% 6.67/1.12 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 6.67/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.12 fof(f3,axiom,(
% 6.67/1.12 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 6.67/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.12 fof(f4,axiom,(
% 6.67/1.12 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 6.67/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.12 fof(f5,axiom,(
% 6.67/1.12 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 6.67/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.12 fof(f6,axiom,(
% 6.67/1.12 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 6.67/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.12 fof(f7,axiom,(
% 6.67/1.12 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 6.67/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.13 fof(f8,axiom,(
% 6.67/1.13 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 6.67/1.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.13 fof(f9,negated_conjecture,(
% 6.67/1.13 ~ theorem(implies(implies(or(p,q),q),implies(p,q))) ),
% 6.67/1.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.67/1.13 fof(f10,plain,(
% 6.67/1.13 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f1])).
% 6.67/1.13 fof(f11,plain,(
% 6.67/1.13 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f2])).
% 6.67/1.13 fof(f12,plain,(
% 6.67/1.13 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f3])).
% 6.67/1.13 fof(f13,plain,(
% 6.67/1.13 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f4])).
% 6.67/1.13 fof(f14,plain,(
% 6.67/1.13 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f5])).
% 6.67/1.13 fof(f15,plain,(
% 6.67/1.13 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f6])).
% 6.67/1.13 fof(f16,plain,(
% 6.67/1.13 ![X0]: (theorem(X0)|~axiom(X0))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f7])).
% 6.67/1.13 fof(f17,plain,(
% 6.67/1.13 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 6.67/1.13 inference(miniscoping,[status(esa)],[f8])).
% 6.67/1.13 fof(f18,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f17])).
% 6.67/1.13 fof(f19,plain,(
% 6.67/1.13 ~theorem(implies(implies(or(p,q),q),implies(p,q)))),
% 6.67/1.13 inference(cnf_transformation,[status(esa)],[f9])).
% 6.67/1.13 fof(f20,plain,(
% 6.67/1.13 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 6.67/1.13 inference(resolution,[status(thm)],[f10,f16])).
% 6.67/1.13 fof(f22,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 6.67/1.13 inference(resolution,[status(thm)],[f11,f16])).
% 6.67/1.13 fof(f23,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 6.67/1.13 inference(resolution,[status(thm)],[f22,f18])).
% 6.67/1.13 fof(f24,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 6.67/1.13 inference(paramodulation,[status(thm)],[f15,f23])).
% 6.67/1.13 fof(f34,plain,(
% 6.67/1.13 spl0_1 <=> ~theorem(X1)),
% 6.67/1.13 introduced(split_symbol_definition)).
% 6.67/1.13 fof(f35,plain,(
% 6.67/1.13 ![X0]: (~theorem(X0)|~spl0_1)),
% 6.67/1.13 inference(component_clause,[status(thm)],[f34])).
% 6.67/1.13 fof(f42,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 6.67/1.13 inference(resolution,[status(thm)],[f12,f16])).
% 6.67/1.13 fof(f45,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 6.67/1.13 inference(resolution,[status(thm)],[f42,f18])).
% 6.67/1.13 fof(f49,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X0))),
% 6.67/1.13 inference(resolution,[status(thm)],[f45,f23])).
% 6.67/1.13 fof(f72,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 6.67/1.13 inference(resolution,[status(thm)],[f13,f16])).
% 6.67/1.13 fof(f81,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 6.67/1.13 inference(resolution,[status(thm)],[f14,f16])).
% 6.67/1.13 fof(f86,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 6.67/1.13 inference(resolution,[status(thm)],[f72,f18])).
% 6.67/1.13 fof(f134,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(or(implies(or(X0,X0),X0),X1)))),
% 6.67/1.13 inference(resolution,[status(thm)],[f20,f49])).
% 6.67/1.13 fof(f142,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,or(X2,X1)))))),
% 6.67/1.13 inference(resolution,[status(thm)],[f24,f22])).
% 6.67/1.13 fof(f154,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 6.67/1.13 inference(resolution,[status(thm)],[f81,f18])).
% 6.67/1.13 fof(f158,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 6.67/1.13 inference(paramodulation,[status(thm)],[f15,f81])).
% 6.67/1.13 fof(f159,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 6.67/1.13 inference(forward_demodulation,[status(thm)],[f15,f158])).
% 6.67/1.13 fof(f220,plain,(
% 6.67/1.13 spl0_5 <=> theorem(implies(X0,or(X1,X0)))),
% 6.67/1.13 introduced(split_symbol_definition)).
% 6.67/1.13 fof(f221,plain,(
% 6.67/1.13 ![X0,X1]: (theorem(implies(X0,or(X1,X0)))|~spl0_5)),
% 6.67/1.13 inference(component_clause,[status(thm)],[f220])).
% 6.67/1.13 fof(f223,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X0)))|~theorem(X2))),
% 6.67/1.13 inference(resolution,[status(thm)],[f142,f18])).
% 6.67/1.13 fof(f224,plain,(
% 6.67/1.13 spl0_5|spl0_1),
% 6.67/1.13 inference(split_clause,[status(thm)],[f223,f220,f34])).
% 6.67/1.13 fof(f240,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 6.67/1.13 inference(paramodulation,[status(thm)],[f15,f86])).
% 6.67/1.13 fof(f241,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 6.67/1.13 inference(forward_demodulation,[status(thm)],[f15,f240])).
% 6.67/1.13 fof(f297,plain,(
% 6.67/1.13 $false|~spl0_1),
% 6.67/1.13 inference(backward_subsumption_resolution,[status(thm)],[f134,f35])).
% 6.67/1.13 fof(f298,plain,(
% 6.67/1.13 ~spl0_1),
% 6.67/1.13 inference(contradiction_clause,[status(thm)],[f297])).
% 6.67/1.13 fof(f809,plain,(
% 6.67/1.13 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 6.67/1.13 inference(resolution,[status(thm)],[f154,f18])).
% 6.67/1.13 fof(f1057,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,or(not(X0),X2))))),
% 6.67/1.13 inference(paramodulation,[status(thm)],[f15,f241])).
% 6.67/1.13 fof(f1058,plain,(
% 6.67/1.13 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 6.67/1.13 inference(forward_demodulation,[status(thm)],[f15,f1057])).
% 6.67/1.13 fof(f1328,plain,(
% 6.67/1.13 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(or(not(X2),X0)))),
% 6.67/1.13 inference(paramodulation,[status(thm)],[f15,f809])).
% 6.67/1.13 fof(f1329,plain,(
% 6.67/1.13 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 6.67/1.13 inference(forward_demodulation,[status(thm)],[f15,f1328])).
% 6.67/1.13 fof(f1338,plain,(
% 6.67/1.13 ![X0,X1,X2]: (~theorem(implies(X0,implies(X1,X2)))|theorem(implies(X0,X2))|~theorem(X1))),
% 6.67/1.13 inference(resolution,[status(thm)],[f1058,f18])).
% 6.67/1.13 fof(f1839,plain,(
% 6.67/1.13 ![X0]: (~theorem(implies(implies(or(p,q),q),implies(X0,implies(p,q))))|~theorem(X0))),
% 6.67/1.13 inference(resolution,[status(thm)],[f1338,f19])).
% 6.67/1.13 fof(f5160,plain,(
% 6.67/1.13 ~theorem(implies(p,or(p,q)))),
% 6.67/1.13 inference(resolution,[status(thm)],[f1839,f159])).
% 6.67/1.13 fof(f5187,plain,(
% 6.67/1.13 ![X0]: (~theorem(implies(X0,or(p,q)))|~theorem(implies(p,X0)))),
% 6.67/1.13 inference(resolution,[status(thm)],[f5160,f1329])).
% 6.67/1.13 fof(f5262,plain,(
% 6.67/1.13 ~theorem(implies(p,or(q,p)))),
% 6.67/1.13 inference(resolution,[status(thm)],[f5187,f42])).
% 6.67/1.13 fof(f5263,plain,(
% 6.67/1.13 $false|~spl0_5),
% 6.67/1.13 inference(forward_subsumption_resolution,[status(thm)],[f5262,f221])).
% 6.67/1.13 fof(f5264,plain,(
% 6.67/1.13 ~spl0_5),
% 6.67/1.13 inference(contradiction_clause,[status(thm)],[f5263])).
% 6.67/1.13 fof(f5265,plain,(
% 6.67/1.13 $false),
% 6.67/1.13 inference(sat_refutation,[status(thm)],[f224,f298,f5264])).
% 6.67/1.13 % SZS output end CNFRefutation for theBenchmark.p
% 6.67/1.16 % Elapsed time: 0.894533 seconds
% 6.67/1.16 % CPU time: 6.958247 seconds
% 6.67/1.16 % Total memory used: 141.620 MB
% 6.67/1.16 % Net memory used: 129.881 MB
%------------------------------------------------------------------------------