TSTP Solution File: LCL321-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL321-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:19:00 EDT 2023
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL321-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:00:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f1,axiom,(
% 0.12/0.35 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f2,axiom,(
% 0.12/0.35 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f3,axiom,(
% 0.12/0.35 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f4,axiom,(
% 0.12/0.35 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f6,axiom,(
% 0.12/0.35 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f7,axiom,(
% 0.12/0.35 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f8,axiom,(
% 0.12/0.35 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f9,negated_conjecture,(
% 0.12/0.35 ~ theorem(or(implies(p,q),implies(p,not(q)))) ),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f10,plain,(
% 0.12/0.35 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.12/0.35 fof(f11,plain,(
% 0.12/0.35 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.35 fof(f12,plain,(
% 0.12/0.35 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.35 fof(f13,plain,(
% 0.12/0.35 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.35 fof(f15,plain,(
% 0.12/0.35 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.35 fof(f16,plain,(
% 0.12/0.35 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f17,plain,(
% 0.12/0.35 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f8])).
% 0.12/0.35 fof(f18,plain,(
% 0.12/0.35 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.36 fof(f19,plain,(
% 0.12/0.36 ~theorem(or(implies(p,q),implies(p,not(q))))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.36 fof(f20,plain,(
% 0.12/0.36 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.12/0.36 inference(resolution,[status(thm)],[f10,f16])).
% 0.12/0.36 fof(f27,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.12/0.36 inference(resolution,[status(thm)],[f11,f16])).
% 0.12/0.36 fof(f29,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.12/0.36 inference(resolution,[status(thm)],[f27,f18])).
% 0.12/0.36 fof(f30,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f15,f27])).
% 0.12/0.36 fof(f33,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(or(X0,implies(or(X1,X1),X1))))),
% 0.12/0.36 inference(resolution,[status(thm)],[f29,f20])).
% 0.12/0.36 fof(f35,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 0.12/0.36 inference(resolution,[status(thm)],[f30,f18])).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.12/0.36 inference(resolution,[status(thm)],[f35,f30])).
% 0.12/0.36 fof(f41,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.12/0.36 inference(resolution,[status(thm)],[f12,f16])).
% 0.12/0.36 fof(f61,plain,(
% 0.12/0.36 spl0_1 <=> ~theorem(X1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f62,plain,(
% 0.12/0.36 ![X0]: (~theorem(X0)|~spl0_1)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f61])).
% 0.12/0.36 fof(f69,plain,(
% 0.12/0.36 spl0_2 <=> theorem(implies(X0,implies(X1,X0)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f70,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(implies(X0,implies(X1,X0)))|~spl0_2)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f69])).
% 0.12/0.36 fof(f72,plain,(
% 0.12/0.36 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X0)))|~theorem(X2))),
% 0.12/0.36 inference(resolution,[status(thm)],[f39,f18])).
% 0.12/0.36 fof(f73,plain,(
% 0.12/0.36 spl0_2|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f72,f69,f61])).
% 0.12/0.36 fof(f77,plain,(
% 0.12/0.36 $false|~spl0_1),
% 0.12/0.36 inference(backward_subsumption_resolution,[status(thm)],[f33,f62])).
% 0.12/0.36 fof(f78,plain,(
% 0.12/0.36 ~spl0_1),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f77])).
% 0.12/0.36 fof(f90,plain,(
% 0.12/0.36 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.12/0.36 inference(resolution,[status(thm)],[f13,f16])).
% 0.12/0.36 fof(f109,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.12/0.36 inference(resolution,[status(thm)],[f41,f18])).
% 0.12/0.36 fof(f151,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f15,f109])).
% 0.12/0.36 fof(f165,plain,(
% 0.12/0.36 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.12/0.36 inference(resolution,[status(thm)],[f90,f18])).
% 0.12/0.36 fof(f208,plain,(
% 0.12/0.36 ![X0,X1]: (theorem(or(implies(X0,X1),not(X1)))|~spl0_2)),
% 0.12/0.36 inference(resolution,[status(thm)],[f151,f70])).
% 0.12/0.36 fof(f224,plain,(
% 0.12/0.36 ![X0,X1,X2]: (theorem(or(X0,or(implies(X1,X2),not(X2))))|~spl0_2)),
% 0.12/0.36 inference(resolution,[status(thm)],[f208,f29])).
% 0.12/0.36 fof(f449,plain,(
% 0.12/0.36 ![X0,X1,X2]: (theorem(or(implies(X0,X1),or(X2,not(X1))))|~spl0_2)),
% 0.12/0.36 inference(resolution,[status(thm)],[f165,f224])).
% 0.12/0.36 fof(f473,plain,(
% 0.12/0.36 ![X0,X1,X2]: (theorem(or(implies(X0,X1),implies(X2,not(X1))))|~spl0_2)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f15,f449])).
% 0.12/0.36 fof(f495,plain,(
% 0.12/0.36 $false|~spl0_2),
% 0.12/0.36 inference(backward_subsumption_resolution,[status(thm)],[f19,f473])).
% 0.12/0.36 fof(f496,plain,(
% 0.12/0.36 ~spl0_2),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f495])).
% 0.12/0.36 fof(f497,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f73,f78,f496])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 % Elapsed time: 0.025345 seconds
% 0.12/0.37 % CPU time: 0.064161 seconds
% 0.12/0.37 % Memory used: 9.675 MB
%------------------------------------------------------------------------------