TSTP Solution File: LCL272-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL272-3 : 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 : Tue Apr 30 20:26:54 EDT 2024
% Result : Unsatisfiable 42.25s 5.70s
% Output : CNFRefutation 42.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:11:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.36 % Drodi V3.6.0
% 42.25/5.70 % Refutation found
% 42.25/5.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 42.25/5.70 % SZS output start CNFRefutation for theBenchmark
% 42.25/5.70 fof(f1,axiom,(
% 42.25/5.70 (![A]: (axiom(implies(or(A,A),A)) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f2,axiom,(
% 42.25/5.70 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f3,axiom,(
% 42.25/5.70 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f4,axiom,(
% 42.25/5.70 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f6,axiom,(
% 42.25/5.70 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f7,axiom,(
% 42.25/5.70 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f8,axiom,(
% 42.25/5.70 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f9,axiom,(
% 42.25/5.70 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f10,axiom,(
% 42.25/5.70 (![P,Q]: (equivalent(P,Q) = and(implies(P,Q),implies(Q,P)) ))),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f11,negated_conjecture,(
% 42.25/5.70 ~ theorem(equivalent(p,or(p,p))) ),
% 42.25/5.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.25/5.70 fof(f12,plain,(
% 42.25/5.70 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f1])).
% 42.25/5.70 fof(f13,plain,(
% 42.25/5.70 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f2])).
% 42.25/5.70 fof(f14,plain,(
% 42.25/5.70 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f3])).
% 42.25/5.70 fof(f15,plain,(
% 42.25/5.70 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f4])).
% 42.25/5.70 fof(f17,plain,(
% 42.25/5.70 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f6])).
% 42.25/5.70 fof(f18,plain,(
% 42.25/5.70 ![X0]: (theorem(X0)|~axiom(X0))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f7])).
% 42.25/5.70 fof(f19,plain,(
% 42.25/5.70 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 42.25/5.70 inference(miniscoping,[status(esa)],[f8])).
% 42.25/5.70 fof(f20,plain,(
% 42.25/5.70 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f19])).
% 42.25/5.70 fof(f21,plain,(
% 42.25/5.70 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f9])).
% 42.25/5.70 fof(f22,plain,(
% 42.25/5.70 ![X0,X1]: (equivalent(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f10])).
% 42.25/5.70 fof(f23,plain,(
% 42.25/5.70 ~theorem(equivalent(p,or(p,p)))),
% 42.25/5.70 inference(cnf_transformation,[status(esa)],[f11])).
% 42.25/5.70 fof(f24,plain,(
% 42.25/5.70 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 42.25/5.70 inference(resolution,[status(thm)],[f12,f18])).
% 42.25/5.70 fof(f27,plain,(
% 42.25/5.70 ![X0]: (theorem(implies(implies(X0,not(X0)),not(X0))))),
% 42.25/5.70 inference(paramodulation,[status(thm)],[f17,f24])).
% 42.25/5.70 fof(f30,plain,(
% 42.25/5.70 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 42.25/5.70 inference(resolution,[status(thm)],[f13,f18])).
% 42.25/5.70 fof(f32,plain,(
% 42.25/5.70 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 42.25/5.70 inference(resolution,[status(thm)],[f30,f20])).
% 42.25/5.70 fof(f34,plain,(
% 42.25/5.70 ![X0,X1]: (theorem(or(X0,implies(implies(X1,not(X1)),not(X1)))))),
% 42.25/5.70 inference(resolution,[status(thm)],[f32,f27])).
% 42.25/5.70 fof(f36,plain,(
% 42.25/5.70 ![X0,X1,X2]: (theorem(or(X0,implies(X1,or(X2,X1)))))),
% 42.25/5.70 inference(resolution,[status(thm)],[f32,f30])).
% 42.25/5.70 fof(f43,plain,(
% 42.25/5.70 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,or(X2,X1)))))),
% 42.25/5.70 inference(paramodulation,[status(thm)],[f17,f36])).
% 42.25/5.70 fof(f62,plain,(
% 42.25/5.70 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 42.25/5.70 inference(resolution,[status(thm)],[f14,f18])).
% 42.25/5.70 fof(f68,plain,(
% 42.25/5.70 spl0_1 <=> ~theorem(X1)),
% 42.25/5.70 introduced(split_symbol_definition)).
% 42.25/5.70 fof(f69,plain,(
% 42.25/5.70 ![X0]: (~theorem(X0)|~spl0_1)),
% 42.25/5.70 inference(component_clause,[status(thm)],[f68])).
% 42.25/5.70 fof(f81,plain,(
% 42.25/5.70 spl0_2 <=> theorem(implies(X0,or(X1,X0)))),
% 42.25/5.70 introduced(split_symbol_definition)).
% 42.25/5.70 fof(f82,plain,(
% 42.25/5.70 ![X0,X1]: (theorem(implies(X0,or(X1,X0)))|~spl0_2)),
% 42.40/5.78 inference(component_clause,[status(thm)],[f81])).
% 42.40/5.78 fof(f84,plain,(
% 42.40/5.78 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X0)))|~theorem(X2))),
% 42.40/5.78 inference(resolution,[status(thm)],[f43,f20])).
% 42.40/5.78 fof(f85,plain,(
% 42.40/5.78 spl0_2|spl0_1),
% 42.40/5.78 inference(split_clause,[status(thm)],[f84,f81,f68])).
% 42.40/5.78 fof(f105,plain,(
% 42.40/5.78 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 42.40/5.78 inference(resolution,[status(thm)],[f15,f18])).
% 42.40/5.78 fof(f119,plain,(
% 42.40/5.78 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 42.40/5.78 inference(forward_demodulation,[status(thm)],[f17,f21])).
% 42.40/5.78 fof(f133,plain,(
% 42.40/5.78 $false|~spl0_1),
% 42.40/5.78 inference(backward_subsumption_resolution,[status(thm)],[f34,f69])).
% 42.40/5.78 fof(f134,plain,(
% 42.40/5.78 ~spl0_1),
% 42.40/5.78 inference(contradiction_clause,[status(thm)],[f133])).
% 42.40/5.78 fof(f274,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 42.40/5.78 inference(paramodulation,[status(thm)],[f17,f62])).
% 42.40/5.78 fof(f292,plain,(
% 42.40/5.78 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 42.40/5.78 inference(resolution,[status(thm)],[f105,f20])).
% 42.40/5.78 fof(f1014,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 42.40/5.78 inference(resolution,[status(thm)],[f274,f20])).
% 42.40/5.78 fof(f1092,plain,(
% 42.40/5.78 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 42.40/5.78 inference(paramodulation,[status(thm)],[f17,f292])).
% 42.40/5.78 fof(f1093,plain,(
% 42.40/5.78 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 42.40/5.78 inference(forward_demodulation,[status(thm)],[f17,f1092])).
% 42.40/5.78 fof(f1117,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 42.40/5.78 inference(paramodulation,[status(thm)],[f17,f1014])).
% 42.40/5.78 fof(f4529,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(or(X0,implies(or(X1,X0),X1))))),
% 42.40/5.78 inference(resolution,[status(thm)],[f1093,f62])).
% 42.40/5.78 fof(f4567,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(X0,implies(or(X1,not(X0)),X1))))),
% 42.40/5.78 inference(paramodulation,[status(thm)],[f17,f4529])).
% 42.40/5.78 fof(f6280,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(or(X0,not(X1)),X0))|~theorem(X1))),
% 42.40/5.78 inference(resolution,[status(thm)],[f4567,f20])).
% 42.40/5.78 fof(f7097,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(or(X0,not(implies(or(X1,X1),X1))),X0)))),
% 42.40/5.78 inference(resolution,[status(thm)],[f6280,f24])).
% 42.40/5.78 fof(f12945,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(X0,not(or(not(X0),not(implies(or(X1,X1),X1)))))))),
% 42.40/5.78 inference(resolution,[status(thm)],[f7097,f1117])).
% 42.40/5.78 fof(f12946,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(X0,not(implies(X0,not(implies(or(X1,X1),X1)))))))),
% 42.40/5.78 inference(forward_demodulation,[status(thm)],[f17,f12945])).
% 42.40/5.78 fof(f12947,plain,(
% 42.40/5.78 ![X0,X1]: (theorem(implies(X0,and(X0,implies(or(X1,X1),X1)))))),
% 42.40/5.78 inference(forward_demodulation,[status(thm)],[f119,f12946])).
% 42.40/5.78 fof(f12990,plain,(
% 42.40/5.78 ![X0]: (theorem(implies(implies(X0,or(X0,X0)),equivalent(X0,or(X0,X0)))))),
% 42.40/5.78 inference(paramodulation,[status(thm)],[f22,f12947])).
% 42.40/5.78 fof(f31019,plain,(
% 42.40/5.78 ![X0]: (theorem(equivalent(X0,or(X0,X0)))|~theorem(implies(X0,or(X0,X0))))),
% 42.40/5.78 inference(resolution,[status(thm)],[f12990,f20])).
% 42.40/5.78 fof(f31020,plain,(
% 42.40/5.78 ![X0]: (theorem(equivalent(X0,or(X0,X0)))|~spl0_2)),
% 42.40/5.78 inference(forward_subsumption_resolution,[status(thm)],[f31019,f82])).
% 42.40/5.78 fof(f31636,plain,(
% 42.40/5.78 $false|~spl0_2),
% 42.40/5.78 inference(backward_subsumption_resolution,[status(thm)],[f23,f31020])).
% 42.40/5.78 fof(f31637,plain,(
% 42.40/5.78 ~spl0_2),
% 42.40/5.78 inference(contradiction_clause,[status(thm)],[f31636])).
% 42.40/5.78 fof(f31638,plain,(
% 42.40/5.78 $false),
% 42.40/5.78 inference(sat_refutation,[status(thm)],[f85,f134,f31637])).
% 42.40/5.78 % SZS output end CNFRefutation for theBenchmark.p
% 43.15/5.84 % Elapsed time: 5.471143 seconds
% 43.15/5.84 % CPU time: 42.935023 seconds
% 43.15/5.84 % Total memory used: 604.806 MB
% 43.15/5.84 % Net memory used: 574.728 MB
%------------------------------------------------------------------------------