TSTP Solution File: LCL240-3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL240-3 : 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 20:26:50 EDT 2024
% Result : Unsatisfiable 46.64s 6.28s
% Output : CNFRefutation 47.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL240-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.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 20:17:51 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 46.64/6.28 % Refutation found
% 46.64/6.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.64/6.28 % SZS output start CNFRefutation for theBenchmark
% 46.64/6.28 fof(f1,axiom,(
% 46.64/6.28 (![A]: (axiom(implies(or(A,A),A)) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f2,axiom,(
% 46.64/6.28 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f3,axiom,(
% 46.64/6.28 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f4,axiom,(
% 46.64/6.28 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f5,axiom,(
% 46.64/6.28 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f6,axiom,(
% 46.64/6.28 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f7,axiom,(
% 46.64/6.28 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f8,axiom,(
% 46.64/6.28 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f9,axiom,(
% 46.64/6.28 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f10,negated_conjecture,(
% 46.64/6.28 ~ theorem(implies(and(p,q),p)) ),
% 46.64/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.64/6.28 fof(f11,plain,(
% 46.64/6.28 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f1])).
% 46.64/6.28 fof(f12,plain,(
% 46.64/6.28 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f2])).
% 46.64/6.28 fof(f13,plain,(
% 46.64/6.28 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f3])).
% 46.64/6.28 fof(f14,plain,(
% 46.64/6.28 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f4])).
% 46.64/6.28 fof(f15,plain,(
% 46.64/6.28 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f5])).
% 46.64/6.28 fof(f16,plain,(
% 46.64/6.28 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f6])).
% 46.64/6.28 fof(f17,plain,(
% 46.64/6.28 ![X0]: (theorem(X0)|~axiom(X0))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f7])).
% 46.64/6.28 fof(f18,plain,(
% 46.64/6.28 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 46.64/6.28 inference(miniscoping,[status(esa)],[f8])).
% 46.64/6.28 fof(f19,plain,(
% 46.64/6.28 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f18])).
% 46.64/6.28 fof(f20,plain,(
% 46.64/6.28 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f9])).
% 46.64/6.28 fof(f21,plain,(
% 46.64/6.28 ~theorem(implies(and(p,q),p))),
% 46.64/6.28 inference(cnf_transformation,[status(esa)],[f10])).
% 46.64/6.28 fof(f36,plain,(
% 46.64/6.28 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 46.64/6.28 inference(resolution,[status(thm)],[f11,f17])).
% 46.64/6.28 fof(f37,plain,(
% 46.64/6.28 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 46.64/6.28 inference(resolution,[status(thm)],[f36,f19])).
% 46.64/6.28 fof(f38,plain,(
% 46.64/6.28 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 46.64/6.28 inference(resolution,[status(thm)],[f12,f17])).
% 46.64/6.28 fof(f39,plain,(
% 46.64/6.28 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 46.64/6.28 inference(resolution,[status(thm)],[f38,f19])).
% 46.64/6.28 fof(f41,plain,(
% 46.64/6.28 ![X0,X1,X2]: (theorem(or(X0,implies(X1,or(X2,X1)))))),
% 46.64/6.28 inference(resolution,[status(thm)],[f39,f38])).
% 46.64/6.28 fof(f55,plain,(
% 46.64/6.28 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 46.64/6.28 inference(backward_demodulation,[status(thm)],[f16,f20])).
% 46.64/6.28 fof(f86,plain,(
% 46.64/6.28 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 46.64/6.28 inference(resolution,[status(thm)],[f13,f17])).
% 46.64/6.28 fof(f90,plain,(
% 46.64/6.28 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2))),
% 46.64/6.28 inference(paramodulation,[status(thm)],[f55,f16])).
% 46.64/6.28 fof(f102,plain,(
% 46.64/6.28 spl0_2 <=> theorem(implies(X0,or(X1,X0)))),
% 46.64/6.28 introduced(split_symbol_definition)).
% 46.64/6.28 fof(f103,plain,(
% 46.64/6.28 ![X0,X1]: (theorem(implies(X0,or(X1,X0)))|~spl0_2)),
% 46.64/6.28 inference(component_clause,[status(thm)],[f102])).
% 46.64/6.28 fof(f124,plain,(
% 46.64/6.28 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 46.64/6.28 inference(resolution,[status(thm)],[f14,f17])).
% 46.64/6.30 fof(f133,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 46.64/6.30 inference(resolution,[status(thm)],[f15,f17])).
% 46.64/6.30 fof(f166,plain,(
% 46.64/6.30 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 46.64/6.30 inference(resolution,[status(thm)],[f86,f19])).
% 46.64/6.30 fof(f169,plain,(
% 46.64/6.30 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 46.64/6.30 inference(paramodulation,[status(thm)],[f16,f86])).
% 46.64/6.30 fof(f170,plain,(
% 46.64/6.30 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 46.64/6.30 inference(paramodulation,[status(thm)],[f16,f86])).
% 46.64/6.30 fof(f192,plain,(
% 46.64/6.30 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 46.64/6.30 inference(paramodulation,[status(thm)],[f16,f166])).
% 46.64/6.30 fof(f272,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(X0)|~theorem(or(and(X1,X2),X0))|~theorem(implies(X1,not(X2))))),
% 46.64/6.30 inference(paramodulation,[status(thm)],[f90,f19])).
% 46.64/6.30 fof(f365,plain,(
% 46.64/6.30 ![X0,X1]: (theorem(or(and(X0,X1),or(not(X1),not(X0)))))),
% 46.64/6.30 inference(paramodulation,[status(thm)],[f90,f169])).
% 46.64/6.30 fof(f366,plain,(
% 46.64/6.30 ![X0,X1]: (theorem(or(and(X0,X1),implies(X1,not(X0)))))),
% 46.64/6.30 inference(forward_demodulation,[status(thm)],[f16,f365])).
% 46.64/6.30 fof(f374,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 46.64/6.30 inference(resolution,[status(thm)],[f124,f19])).
% 46.64/6.30 fof(f386,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 46.64/6.30 inference(resolution,[status(thm)],[f133,f19])).
% 46.64/6.30 fof(f392,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 46.64/6.30 inference(paramodulation,[status(thm)],[f16,f133])).
% 46.64/6.30 fof(f393,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 46.64/6.30 inference(forward_demodulation,[status(thm)],[f16,f392])).
% 46.64/6.30 fof(f396,plain,(
% 46.64/6.30 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 46.64/6.30 inference(resolution,[status(thm)],[f170,f19])).
% 46.64/6.30 fof(f419,plain,(
% 46.64/6.30 ![X0,X1]: (theorem(or(or(X0,X1),not(X1)))|~spl0_2)),
% 46.64/6.30 inference(resolution,[status(thm)],[f192,f103])).
% 46.64/6.30 fof(f444,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2))))|~spl0_2)),
% 46.64/6.30 inference(resolution,[status(thm)],[f419,f39])).
% 46.64/6.30 fof(f1824,plain,(
% 46.64/6.30 spl0_24 <=> ~theorem(implies(X2,not(X3)))),
% 46.64/6.30 introduced(split_symbol_definition)).
% 46.64/6.30 fof(f1825,plain,(
% 46.64/6.30 ![X0,X1]: (~theorem(implies(X0,not(X1)))|~spl0_24)),
% 46.64/6.30 inference(component_clause,[status(thm)],[f1824])).
% 46.64/6.30 fof(f1862,plain,(
% 46.64/6.30 ![X0,X1,X2,X3]: (theorem(implies(X0,or(X1,X0)))|~theorem(implies(X2,not(X3))))),
% 46.64/6.30 inference(resolution,[status(thm)],[f272,f41])).
% 46.64/6.30 fof(f1863,plain,(
% 46.64/6.30 spl0_2|spl0_24),
% 46.64/6.30 inference(split_clause,[status(thm)],[f1862,f102,f1824])).
% 46.64/6.30 fof(f1964,plain,(
% 46.64/6.30 $false|~spl0_24),
% 46.64/6.30 inference(resolution,[status(thm)],[f1825,f36])).
% 46.64/6.30 fof(f1965,plain,(
% 46.64/6.30 ~spl0_24),
% 46.64/6.30 inference(contradiction_clause,[status(thm)],[f1964])).
% 46.64/6.30 fof(f2273,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1))))|~spl0_2)),
% 46.64/6.30 inference(resolution,[status(thm)],[f374,f444])).
% 46.64/6.30 fof(f2314,plain,(
% 46.64/6.30 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1)))|~spl0_2)),
% 46.64/6.30 inference(resolution,[status(thm)],[f2273,f166])).
% 46.64/6.30 fof(f2605,plain,(
% 47.28/6.30 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2)))|~spl0_2)),
% 47.28/6.30 inference(resolution,[status(thm)],[f2314,f374])).
% 47.28/6.30 fof(f2827,plain,(
% 47.28/6.30 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1))|~spl0_2)),
% 47.28/6.30 inference(resolution,[status(thm)],[f2605,f37])).
% 47.28/6.30 fof(f2841,plain,(
% 47.28/6.30 ![X0,X1]: (theorem(or(X0,or(X1,not(X0))))|~spl0_2)),
% 47.28/6.30 inference(resolution,[status(thm)],[f2827,f166])).
% 47.28/6.30 fof(f2852,plain,(
% 47.28/6.30 ![X0,X1]: (theorem(or(X0,or(X1,not(X1))))|~spl0_2)),
% 47.28/6.30 inference(resolution,[status(thm)],[f2841,f374])).
% 47.28/6.30 fof(f2860,plain,(
% 47.28/6.30 ![X0,X1]: (theorem(or(X0,implies(X1,not(X0))))|~spl0_2)),
% 47.28/6.30 inference(paramodulation,[status(thm)],[f16,f2841])).
% 47.28/6.30 fof(f2882,plain,(
% 47.28/6.30 ![X0]: (theorem(or(X0,not(X0)))|~spl0_2)),
% 47.28/6.30 inference(resolution,[status(thm)],[f2852,f37])).
% 47.28/6.30 fof(f2902,plain,(
% 47.28/6.30 ![X0]: (theorem(implies(X0,not(not(X0))))|~spl0_2)),
% 47.28/6.30 inference(paramodulation,[status(thm)],[f16,f2882])).
% 47.28/6.30 fof(f3012,plain,(
% 47.28/6.30 ![X0,X1]: (theorem(implies(or(X0,X1),or(X0,not(not(X1)))))|~spl0_2)),
% 47.28/6.30 inference(resolution,[status(thm)],[f2902,f386])).
% 47.87/6.40 fof(f3260,plain,(
% 47.87/6.40 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 47.87/6.40 inference(resolution,[status(thm)],[f393,f19])).
% 47.87/6.40 fof(f43655,plain,(
% 47.87/6.40 ![X0,X1]: (theorem(or(X0,not(not(X1))))|~theorem(or(X0,X1))|~spl0_2)),
% 47.87/6.40 inference(resolution,[status(thm)],[f3012,f19])).
% 47.87/6.40 fof(f107083,plain,(
% 47.87/6.40 ![X0,X1]: (theorem(or(and(X0,X1),not(not(implies(X1,not(X0))))))|~spl0_2)),
% 47.87/6.40 inference(resolution,[status(thm)],[f43655,f366])).
% 47.87/6.40 fof(f107084,plain,(
% 47.87/6.40 ![X0,X1]: (theorem(or(and(X0,X1),not(and(X1,X0))))|~spl0_2)),
% 47.87/6.40 inference(forward_demodulation,[status(thm)],[f55,f107083])).
% 47.87/6.40 fof(f107360,plain,(
% 47.87/6.40 ![X0,X1]: (theorem(or(X0,not(not(implies(X1,not(X0))))))|~spl0_2)),
% 47.87/6.40 inference(resolution,[status(thm)],[f43655,f2860])).
% 47.87/6.40 fof(f107361,plain,(
% 47.87/6.40 ![X0,X1]: (theorem(or(X0,not(and(X1,X0))))|~spl0_2)),
% 47.87/6.40 inference(forward_demodulation,[status(thm)],[f55,f107360])).
% 47.87/6.40 fof(f107399,plain,(
% 47.87/6.40 ![X0,X1]: (theorem(implies(and(X0,X1),X1))|~spl0_2)),
% 47.87/6.40 inference(resolution,[status(thm)],[f107361,f396])).
% 47.87/6.40 fof(f107488,plain,(
% 47.87/6.40 ![X0,X1,X2]: (theorem(implies(implies(X0,and(X1,X2)),implies(X0,X2)))|~spl0_2)),
% 47.87/6.40 inference(resolution,[status(thm)],[f107399,f3260])).
% 47.87/6.40 fof(f109529,plain,(
% 47.87/6.40 ![X0,X1]: (theorem(implies(and(X0,X1),and(X1,X0)))|~spl0_2)),
% 47.87/6.40 inference(resolution,[status(thm)],[f107084,f396])).
% 47.87/6.40 fof(f112181,plain,(
% 47.87/6.40 ![X0,X1,X2]: (theorem(implies(X0,X1))|~theorem(implies(X0,and(X2,X1)))|~spl0_2)),
% 47.87/6.40 inference(resolution,[status(thm)],[f107488,f19])).
% 47.87/6.40 fof(f119724,plain,(
% 47.87/6.40 ![X0,X1]: (theorem(implies(and(X0,X1),X0))|~spl0_2)),
% 47.87/6.40 inference(resolution,[status(thm)],[f112181,f109529])).
% 47.87/6.40 fof(f119802,plain,(
% 47.87/6.40 $false|~spl0_2),
% 47.87/6.40 inference(backward_subsumption_resolution,[status(thm)],[f21,f119724])).
% 47.87/6.40 fof(f119803,plain,(
% 47.87/6.40 ~spl0_2),
% 47.87/6.40 inference(contradiction_clause,[status(thm)],[f119802])).
% 47.87/6.40 fof(f119804,plain,(
% 47.87/6.40 $false),
% 47.87/6.40 inference(sat_refutation,[status(thm)],[f1863,f1965,f119803])).
% 47.87/6.40 % SZS output end CNFRefutation for theBenchmark.p
% 47.87/6.42 % Elapsed time: 6.054024 seconds
% 47.87/6.42 % CPU time: 47.602638 seconds
% 47.87/6.42 % Total memory used: 771.242 MB
% 47.87/6.42 % Net memory used: 708.937 MB
%------------------------------------------------------------------------------