TSTP Solution File: LAT253-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT253-1 : TPTP v8.1.2. Released v3.1.0.
% 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 12:17:09 EDT 2023
% Result : Unsatisfiable 25.16s 3.54s
% Output : CNFRefutation 25.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT253-1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 09:36:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 25.16/3.54 % Refutation found
% 25.16/3.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 25.16/3.54 % SZS output start CNFRefutation for theBenchmark
% 25.16/3.54 fof(f3,axiom,(
% 25.16/3.54 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f4,axiom,(
% 25.16/3.54 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f5,axiom,(
% 25.16/3.54 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f6,axiom,(
% 25.16/3.54 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f7,axiom,(
% 25.16/3.54 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f8,axiom,(
% 25.16/3.54 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f9,axiom,(
% 25.16/3.54 (![X]: (join(X,complement(X)) = one ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f10,axiom,(
% 25.16/3.54 (![X]: (meet(X,complement(X)) = zero ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f11,axiom,(
% 25.16/3.54 (![X,Y]: (( meet(X,Y) != zero| join(X,Y) != one| complement(X) = Y ) ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f12,axiom,(
% 25.16/3.54 (![X,Y,Z,U]: (meet(X,join(Y,meet(Z,join(Y,U)))) = meet(X,join(Y,meet(Z,join(U,meet(X,Y))))) ))),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f13,hypothesis,(
% 25.16/3.54 meet(b,a) = a ),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f14,negated_conjecture,(
% 25.16/3.54 join(complement(b),complement(a)) != complement(a) ),
% 25.16/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.16/3.54 fof(f17,plain,(
% 25.16/3.54 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f3])).
% 25.16/3.54 fof(f18,plain,(
% 25.16/3.54 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f4])).
% 25.16/3.54 fof(f19,plain,(
% 25.16/3.54 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f5])).
% 25.16/3.54 fof(f20,plain,(
% 25.16/3.54 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f6])).
% 25.16/3.54 fof(f21,plain,(
% 25.16/3.54 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f7])).
% 25.16/3.54 fof(f22,plain,(
% 25.16/3.54 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f8])).
% 25.16/3.54 fof(f23,plain,(
% 25.16/3.54 ![X0]: (join(X0,complement(X0))=one)),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f9])).
% 25.16/3.54 fof(f24,plain,(
% 25.16/3.54 ![X0]: (meet(X0,complement(X0))=zero)),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f10])).
% 25.16/3.54 fof(f25,plain,(
% 25.16/3.54 ![X0,X1]: (~meet(X0,X1)=zero|~join(X0,X1)=one|complement(X0)=X1)),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f11])).
% 25.16/3.54 fof(f26,plain,(
% 25.16/3.54 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,join(X1,X3))))=meet(X0,join(X1,meet(X2,join(X3,meet(X0,X1))))))),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f12])).
% 25.16/3.54 fof(f27,plain,(
% 25.16/3.54 meet(b,a)=a),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f13])).
% 25.16/3.54 fof(f28,plain,(
% 25.16/3.54 ~join(complement(b),complement(a))=complement(a)),
% 25.16/3.54 inference(cnf_transformation,[status(esa)],[f14])).
% 25.16/3.54 fof(f33,plain,(
% 25.16/3.54 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 25.16/3.54 inference(paramodulation,[status(thm)],[f20,f17])).
% 25.16/3.54 fof(f35,plain,(
% 25.16/3.54 join(b,a)=b),
% 25.16/3.54 inference(paramodulation,[status(thm)],[f27,f18])).
% 25.16/3.54 fof(f36,plain,(
% 25.16/3.54 ![X0,X1]: (meet(meet(X0,X1),X0)=meet(X0,X1))),
% 25.16/3.54 inference(paramodulation,[status(thm)],[f18,f33])).
% 25.16/3.54 fof(f134,plain,(
% 25.16/3.54 ![X0,X1,X2]: (meet(X0,join(X1,meet(X2,join(X1,X0))))=meet(X0,join(X1,meet(X2,X0))))),
% 25.16/3.54 inference(paramodulation,[status(thm)],[f18,f26])).
% 25.16/3.54 fof(f227,plain,(
% 25.16/3.54 ![X0,X1]: (meet(meet(X0,X1),X1)=meet(X1,X0))),
% 25.16/3.54 inference(paramodulation,[status(thm)],[f19,f36])).
% 25.16/3.54 fof(f228,plain,(
% 25.16/3.54 ![X0,X1]: (meet(X0,meet(X1,X0))=meet(X0,X1))),
% 25.16/3.54 inference(forward_demodulation,[status(thm)],[f19,f227])).
% 25.16/3.54 fof(f240,plain,(
% 25.16/3.54 ![X0]: (meet(zero,X0)=meet(X0,complement(X0)))),
% 25.16/3.54 inference(paramodulation,[status(thm)],[f24,f36])).
% 25.16/3.54 fof(f241,plain,(
% 25.16/3.54 ![X0]: (meet(zero,X0)=zero)),
% 25.16/3.54 inference(forward_demodulation,[status(thm)],[f24,f240])).
% 25.16/3.54 fof(f242,plain,(
% 25.37/3.56 ![X0]: (join(X0,zero)=X0)),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f24,f18])).
% 25.37/3.56 fof(f289,plain,(
% 25.37/3.56 ![X0]: (meet(X0,zero)=zero)),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f19,f241])).
% 25.37/3.56 fof(f317,plain,(
% 25.37/3.56 ![X0,X1]: (zero=meet(X0,meet(X1,complement(meet(X0,X1)))))),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f24,f21])).
% 25.37/3.56 fof(f336,plain,(
% 25.37/3.56 ![X0,X1]: (meet(zero,X0)=meet(X1,meet(complement(X1),X0)))),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f24,f21])).
% 25.37/3.56 fof(f337,plain,(
% 25.37/3.56 ![X0,X1]: (zero=meet(X0,meet(complement(X0),X1)))),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f241,f336])).
% 25.37/3.56 fof(f376,plain,(
% 25.37/3.56 ![X0,X1]: (join(one,X0)=join(X1,join(complement(X1),X0)))),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f23,f22])).
% 25.37/3.56 fof(f379,plain,(
% 25.37/3.56 ![X0]: (meet(X0,one)=X0)),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f23,f17])).
% 25.37/3.56 fof(f424,plain,(
% 25.37/3.56 spl0_10 <=> one=one),
% 25.37/3.56 introduced(split_symbol_definition)).
% 25.37/3.56 fof(f426,plain,(
% 25.37/3.56 ~one=one|spl0_10),
% 25.37/3.56 inference(component_clause,[status(thm)],[f424])).
% 25.37/3.56 fof(f447,plain,(
% 25.37/3.56 $false|spl0_10),
% 25.37/3.56 inference(trivial_equality_resolution,[status(esa)],[f426])).
% 25.37/3.56 fof(f448,plain,(
% 25.37/3.56 spl0_10),
% 25.37/3.56 inference(contradiction_clause,[status(thm)],[f447])).
% 25.37/3.56 fof(f592,plain,(
% 25.37/3.56 ![X0]: (meet(one,X0)=X0)),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f19,f379])).
% 25.37/3.56 fof(f607,plain,(
% 25.37/3.56 ![X0]: (one=join(one,X0))),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f17,f592])).
% 25.37/3.56 fof(f1775,plain,(
% 25.37/3.56 ![X0,X1]: (one=join(X0,join(complement(X0),X1)))),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f607,f376])).
% 25.37/3.56 fof(f1843,plain,(
% 25.37/3.56 spl0_13 <=> ~meet(X0,join(complement(X0),X1))=zero|complement(X0)=join(complement(X0),X1)),
% 25.37/3.56 introduced(split_symbol_definition)).
% 25.37/3.56 fof(f1844,plain,(
% 25.37/3.56 ![X0,X1]: (~meet(X0,join(complement(X0),X1))=zero|complement(X0)=join(complement(X0),X1)|~spl0_13)),
% 25.37/3.56 inference(component_clause,[status(thm)],[f1843])).
% 25.37/3.56 fof(f1846,plain,(
% 25.37/3.56 ![X0,X1]: (~meet(X0,join(complement(X0),X1))=zero|~one=one|complement(X0)=join(complement(X0),X1))),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f1775,f25])).
% 25.37/3.56 fof(f1847,plain,(
% 25.37/3.56 spl0_13|~spl0_10),
% 25.37/3.56 inference(split_clause,[status(thm)],[f1846,f1843,f424])).
% 25.37/3.56 fof(f3153,plain,(
% 25.37/3.56 ![X0,X1]: (~meet(X0,join(complement(X0),meet(X1,X0)))=zero|complement(X0)=join(complement(X0),meet(X1,join(complement(X0),X0)))|~spl0_13)),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f134,f1844])).
% 25.37/3.56 fof(f3154,plain,(
% 25.37/3.56 ![X0,X1]: (~meet(X0,join(complement(X0),meet(X1,X0)))=zero|complement(X0)=join(complement(X0),meet(X1,join(X0,complement(X0))))|~spl0_13)),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f20,f3153])).
% 25.37/3.56 fof(f3155,plain,(
% 25.37/3.56 ![X0,X1]: (~meet(X0,join(complement(X0),meet(X1,X0)))=zero|complement(X0)=join(complement(X0),meet(X1,one))|~spl0_13)),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f23,f3154])).
% 25.37/3.56 fof(f3156,plain,(
% 25.37/3.56 ![X0,X1]: (~meet(X0,join(complement(X0),meet(X1,X0)))=zero|complement(X0)=join(complement(X0),X1)|~spl0_13)),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f379,f3155])).
% 25.37/3.56 fof(f16427,plain,(
% 25.37/3.56 ![X0,X1]: (meet(meet(complement(X0),X1),zero)=meet(meet(complement(X0),X1),X0))),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f337,f228])).
% 25.37/3.56 fof(f16428,plain,(
% 25.37/3.56 ![X0,X1]: (meet(complement(X0),meet(X1,zero))=meet(meet(complement(X0),X1),X0))),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f21,f16427])).
% 25.37/3.56 fof(f16429,plain,(
% 25.37/3.56 ![X0,X1]: (meet(complement(X0),zero)=meet(meet(complement(X0),X1),X0))),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f289,f16428])).
% 25.37/3.56 fof(f16430,plain,(
% 25.37/3.56 ![X0,X1]: (zero=meet(meet(complement(X0),X1),X0))),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f289,f16429])).
% 25.37/3.56 fof(f16431,plain,(
% 25.37/3.56 ![X0,X1]: (zero=meet(complement(X0),meet(X1,X0)))),
% 25.37/3.56 inference(forward_demodulation,[status(thm)],[f21,f16430])).
% 25.37/3.56 fof(f16555,plain,(
% 25.37/3.56 ![X0,X1]: (~meet(meet(X0,X1),join(complement(meet(X0,X1)),zero))=zero|complement(meet(X0,X1))=join(complement(meet(X0,X1)),complement(X1))|~spl0_13)),
% 25.37/3.56 inference(paramodulation,[status(thm)],[f16431,f3156])).
% 25.37/3.56 fof(f16556,plain,(
% 25.37/3.56 ![X0,X1]: (~meet(X0,meet(X1,join(complement(meet(X0,X1)),zero)))=zero|complement(meet(X0,X1))=join(complement(meet(X0,X1)),complement(X1))|~spl0_13)),
% 25.37/3.59 inference(forward_demodulation,[status(thm)],[f21,f16555])).
% 25.37/3.59 fof(f16557,plain,(
% 25.37/3.59 ![X0,X1]: (~meet(X0,meet(X1,complement(meet(X0,X1))))=zero|complement(meet(X0,X1))=join(complement(meet(X0,X1)),complement(X1))|~spl0_13)),
% 25.37/3.59 inference(forward_demodulation,[status(thm)],[f242,f16556])).
% 25.37/3.59 fof(f16558,plain,(
% 25.37/3.59 ![X0,X1]: (~zero=zero|complement(meet(X0,X1))=join(complement(meet(X0,X1)),complement(X1))|~spl0_13)),
% 25.37/3.59 inference(forward_demodulation,[status(thm)],[f317,f16557])).
% 25.37/3.59 fof(f16559,plain,(
% 25.37/3.59 ![X0,X1]: (~zero=zero|complement(meet(X0,X1))=join(complement(X1),complement(meet(X0,X1)))|~spl0_13)),
% 25.37/3.59 inference(forward_demodulation,[status(thm)],[f20,f16558])).
% 25.37/3.59 fof(f16560,plain,(
% 25.37/3.59 ![X0,X1]: (complement(meet(X0,X1))=join(complement(X1),complement(meet(X0,X1)))|~spl0_13)),
% 25.37/3.59 inference(trivial_equality_resolution,[status(esa)],[f16559])).
% 25.37/3.59 fof(f18186,plain,(
% 25.37/3.59 ![X0,X1]: (complement(meet(X0,join(X1,X0)))=join(complement(join(X1,X0)),complement(X0))|~spl0_13)),
% 25.37/3.59 inference(paramodulation,[status(thm)],[f33,f16560])).
% 25.37/3.59 fof(f18187,plain,(
% 25.37/3.59 ![X0,X1]: (complement(X0)=join(complement(join(X1,X0)),complement(X0))|~spl0_13)),
% 25.37/3.59 inference(forward_demodulation,[status(thm)],[f33,f18186])).
% 25.37/3.59 fof(f18188,plain,(
% 25.37/3.59 ![X0,X1]: (complement(X0)=join(complement(X0),complement(join(X1,X0)))|~spl0_13)),
% 25.37/3.59 inference(forward_demodulation,[status(thm)],[f20,f18187])).
% 25.37/3.59 fof(f18354,plain,(
% 25.37/3.59 complement(a)=join(complement(a),complement(b))|~spl0_13),
% 25.37/3.59 inference(paramodulation,[status(thm)],[f35,f18188])).
% 25.37/3.59 fof(f18355,plain,(
% 25.37/3.59 complement(a)=join(complement(b),complement(a))|~spl0_13),
% 25.37/3.59 inference(forward_demodulation,[status(thm)],[f20,f18354])).
% 25.37/3.59 fof(f18356,plain,(
% 25.37/3.59 $false|~spl0_13),
% 25.37/3.59 inference(forward_subsumption_resolution,[status(thm)],[f18355,f28])).
% 25.37/3.59 fof(f18357,plain,(
% 25.37/3.59 ~spl0_13),
% 25.37/3.59 inference(contradiction_clause,[status(thm)],[f18356])).
% 25.37/3.59 fof(f18358,plain,(
% 25.37/3.59 $false),
% 25.37/3.59 inference(sat_refutation,[status(thm)],[f448,f1847,f18357])).
% 25.37/3.59 % SZS output end CNFRefutation for theBenchmark.p
% 25.37/3.62 % Elapsed time: 3.264308 seconds
% 25.37/3.62 % CPU time: 25.636304 seconds
% 25.37/3.62 % Memory used: 190.399 MB
%------------------------------------------------------------------------------