TSTP Solution File: SWV372+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV372+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:41:31 EDT 2023
% Result : Theorem 0.18s 0.55s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV372+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n022.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 11:34:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.18/0.55 % Refutation found
% 0.18/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.55 fof(f39,axiom,(
% 0.18/0.55 (! [U,V,W,X] :( contains_cpq(triple(U,V,W),X)<=> contains_slb(V,X) ) )),
% 0.18/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.55 fof(f40,axiom,(
% 0.18/0.55 (! [U,V] :( ok(triple(U,V,bad))<=> $false ) )),
% 0.18/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.55 fof(f46,axiom,(
% 0.18/0.55 (! [U,V] : findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad) )),
% 0.18/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.55 fof(f47,axiom,(
% 0.18/0.55 (! [U,V,W,X] :( ( V != create_slb& ~ contains_slb(V,findmin_pqp_res(U)) )=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ) )),
% 0.18/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.55 fof(f51,axiom,(
% 0.18/0.55 (! [U,V,W,X] :( V != create_slb=> findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ) )),
% 0.18/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.55 fof(f63,lemma,(
% 0.18/0.55 (! [U,V,W,X] :( contains_cpq(triple(U,V,W),X)<=> contains_pq(i(triple(U,V,W)),X) ) )),
% 0.18/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.55 fof(f65,lemma,(
% 0.18/0.55 (! [U,V,W] :( ~ ok(triple(U,V,W))=> ~ phi(triple(U,V,W)) ) )),
% 0.18/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.55 fof(f66,conjecture,(
% 0.18/0.55 (! [U,V,W] :( phi(findmin_cpq_eff(triple(U,V,W)))=> contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) )),
% 0.18/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.55 fof(f67,negated_conjecture,(
% 0.18/0.55 ~((! [U,V,W] :( phi(findmin_cpq_eff(triple(U,V,W)))=> contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) ))),
% 0.18/0.55 inference(negated_conjecture,[status(cth)],[f66])).
% 0.18/0.55 fof(f158,plain,(
% 0.18/0.55 ![U,V,W,X]: ((~contains_cpq(triple(U,V,W),X)|contains_slb(V,X))&(contains_cpq(triple(U,V,W),X)|~contains_slb(V,X)))),
% 0.18/0.55 inference(NNF_transformation,[status(esa)],[f39])).
% 0.18/0.55 fof(f159,plain,(
% 0.18/0.55 (![V,X]: ((![U,W]: ~contains_cpq(triple(U,V,W),X))|contains_slb(V,X)))&(![V,X]: ((![U,W]: contains_cpq(triple(U,V,W),X))|~contains_slb(V,X)))),
% 0.18/0.55 inference(miniscoping,[status(esa)],[f158])).
% 0.18/0.55 fof(f161,plain,(
% 0.18/0.55 ![X0,X1,X2,X3]: (contains_cpq(triple(X0,X1,X2),X3)|~contains_slb(X1,X3))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f159])).
% 0.18/0.55 fof(f162,plain,(
% 0.18/0.55 ![U,V]: ((~ok(triple(U,V,bad))|$false)&(ok(triple(U,V,bad))|$true))),
% 0.18/0.55 inference(NNF_transformation,[status(esa)],[f40])).
% 0.18/0.55 fof(f163,plain,(
% 0.18/0.55 ((![U,V]: ~ok(triple(U,V,bad)))|$false)&((![U,V]: ok(triple(U,V,bad)))|$true)),
% 0.18/0.55 inference(miniscoping,[status(esa)],[f162])).
% 0.18/0.55 fof(f164,plain,(
% 0.18/0.55 ![U,V]: ~ok(triple(U,V,bad))),
% 0.18/0.55 inference($true_and_$false_simplification,[status(esa)],[f163])).
% 0.18/0.55 fof(f165,plain,(
% 0.18/0.55 ![X0,X1]: (~ok(triple(X0,X1,bad)))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f164])).
% 0.18/0.55 fof(f179,plain,(
% 0.18/0.55 ![X0,X1]: (findmin_cpq_eff(triple(X0,create_slb,X1))=triple(X0,create_slb,bad))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f46])).
% 0.18/0.55 fof(f180,plain,(
% 0.18/0.55 ![U,V,W,X]: ((V=create_slb|contains_slb(V,findmin_pqp_res(U)))|findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad))),
% 0.18/0.55 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.18/0.55 fof(f181,plain,(
% 0.18/0.55 ![U,V]: ((V=create_slb|contains_slb(V,findmin_pqp_res(U)))|(![W]: findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad)))),
% 0.18/0.55 inference(miniscoping,[status(esa)],[f180])).
% 0.18/0.55 fof(f182,plain,(
% 0.18/0.55 ![X0,X1,X2]: (X0=create_slb|contains_slb(X0,findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f181])).
% 0.18/0.55 fof(f190,plain,(
% 0.18/0.55 ![U,V,W,X]: (V=create_slb|findmin_cpq_res(triple(U,V,W))=findmin_pqp_res(U))),
% 0.18/0.55 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.18/0.55 fof(f191,plain,(
% 0.18/0.55 ![V]: (V=create_slb|(![U,W]: findmin_cpq_res(triple(U,V,W))=findmin_pqp_res(U)))),
% 0.18/0.55 inference(miniscoping,[status(esa)],[f190])).
% 0.18/0.55 fof(f192,plain,(
% 0.18/0.55 ![X0,X1,X2]: (X0=create_slb|findmin_cpq_res(triple(X1,X0,X2))=findmin_pqp_res(X1))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f191])).
% 0.18/0.55 fof(f232,plain,(
% 0.18/0.55 ![U,V,W,X]: ((~contains_cpq(triple(U,V,W),X)|contains_pq(i(triple(U,V,W)),X))&(contains_cpq(triple(U,V,W),X)|~contains_pq(i(triple(U,V,W)),X)))),
% 0.18/0.55 inference(NNF_transformation,[status(esa)],[f63])).
% 0.18/0.55 fof(f233,plain,(
% 0.18/0.55 (![U,V,W,X]: (~contains_cpq(triple(U,V,W),X)|contains_pq(i(triple(U,V,W)),X)))&(![U,V,W,X]: (contains_cpq(triple(U,V,W),X)|~contains_pq(i(triple(U,V,W)),X)))),
% 0.18/0.55 inference(miniscoping,[status(esa)],[f232])).
% 0.18/0.55 fof(f234,plain,(
% 0.18/0.55 ![X0,X1,X2,X3]: (~contains_cpq(triple(X0,X1,X2),X3)|contains_pq(i(triple(X0,X1,X2)),X3))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f233])).
% 0.18/0.55 fof(f238,plain,(
% 0.18/0.55 ![U,V,W]: (ok(triple(U,V,W))|~phi(triple(U,V,W)))),
% 0.18/0.55 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 0.18/0.55 fof(f239,plain,(
% 0.18/0.55 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|~phi(triple(X0,X1,X2)))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f238])).
% 0.18/0.55 fof(f240,plain,(
% 0.18/0.55 (?[U,V,W]: (phi(findmin_cpq_eff(triple(U,V,W)))&~contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W)))))),
% 0.18/0.55 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.18/0.55 fof(f241,plain,(
% 0.18/0.55 (phi(findmin_cpq_eff(triple(sk0_4,sk0_5,sk0_6)))&~contains_pq(i(triple(sk0_4,sk0_5,sk0_6)),findmin_cpq_res(triple(sk0_4,sk0_5,sk0_6))))),
% 0.18/0.55 inference(skolemization,[status(esa)],[f240])).
% 0.18/0.55 fof(f242,plain,(
% 0.18/0.55 phi(findmin_cpq_eff(triple(sk0_4,sk0_5,sk0_6)))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f241])).
% 0.18/0.55 fof(f243,plain,(
% 0.18/0.55 ~contains_pq(i(triple(sk0_4,sk0_5,sk0_6)),findmin_cpq_res(triple(sk0_4,sk0_5,sk0_6)))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f241])).
% 0.18/0.55 fof(f255,plain,(
% 0.18/0.55 spl0_2 <=> contains_pq(i(triple(sk0_4,sk0_5,sk0_6)),findmin_pqp_res(sk0_4))),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f257,plain,(
% 0.18/0.55 ~contains_pq(i(triple(sk0_4,sk0_5,sk0_6)),findmin_pqp_res(sk0_4))|spl0_2),
% 0.18/0.55 inference(component_clause,[status(thm)],[f255])).
% 0.18/0.55 fof(f258,plain,(
% 0.18/0.55 spl0_3 <=> sk0_5=create_slb),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f259,plain,(
% 0.18/0.55 sk0_5=create_slb|~spl0_3),
% 0.18/0.55 inference(component_clause,[status(thm)],[f258])).
% 0.18/0.55 fof(f261,plain,(
% 0.18/0.55 ~contains_pq(i(triple(sk0_4,sk0_5,sk0_6)),findmin_pqp_res(sk0_4))|sk0_5=create_slb),
% 0.18/0.55 inference(paramodulation,[status(thm)],[f192,f243])).
% 0.18/0.55 fof(f262,plain,(
% 0.18/0.55 ~spl0_2|spl0_3),
% 0.18/0.55 inference(split_clause,[status(thm)],[f261,f255,f258])).
% 0.18/0.55 fof(f1800,plain,(
% 0.18/0.55 phi(findmin_cpq_eff(triple(sk0_4,create_slb,sk0_6)))|~spl0_3),
% 0.18/0.55 inference(backward_demodulation,[status(thm)],[f259,f242])).
% 0.18/0.55 fof(f2783,plain,(
% 0.18/0.55 ![X0,X1,X2]: (ok(triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad))|~phi(findmin_cpq_eff(triple(X0,X1,X2)))|X1=create_slb|contains_slb(X1,findmin_pqp_res(X0)))),
% 0.18/0.55 inference(paramodulation,[status(thm)],[f182,f239])).
% 0.18/0.55 fof(f2784,plain,(
% 0.18/0.55 ![X0,X1,X2]: (~phi(findmin_cpq_eff(triple(X0,X1,X2)))|X1=create_slb|contains_slb(X1,findmin_pqp_res(X0)))),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f2783,f165])).
% 0.18/0.55 fof(f2989,plain,(
% 0.18/0.55 spl0_61 <=> contains_slb(sk0_5,findmin_pqp_res(sk0_4))),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f2990,plain,(
% 0.18/0.55 contains_slb(sk0_5,findmin_pqp_res(sk0_4))|~spl0_61),
% 0.18/0.55 inference(component_clause,[status(thm)],[f2989])).
% 0.18/0.55 fof(f2992,plain,(
% 0.18/0.55 sk0_5=create_slb|contains_slb(sk0_5,findmin_pqp_res(sk0_4))),
% 0.18/0.55 inference(resolution,[status(thm)],[f2784,f242])).
% 0.18/0.55 fof(f2993,plain,(
% 0.18/0.55 spl0_3|spl0_61),
% 0.18/0.55 inference(split_clause,[status(thm)],[f2992,f258,f2989])).
% 0.18/0.55 fof(f4687,plain,(
% 0.18/0.55 phi(triple(sk0_4,create_slb,bad))|~spl0_3),
% 0.18/0.55 inference(backward_demodulation,[status(thm)],[f179,f1800])).
% 0.18/0.55 fof(f4766,plain,(
% 0.18/0.55 ok(triple(sk0_4,create_slb,bad))|~spl0_3),
% 0.18/0.55 inference(resolution,[status(thm)],[f4687,f239])).
% 0.18/0.55 fof(f4767,plain,(
% 0.18/0.55 $false|~spl0_3),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f4766,f165])).
% 0.18/0.55 fof(f4768,plain,(
% 0.18/0.55 ~spl0_3),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f4767])).
% 0.18/0.55 fof(f4769,plain,(
% 0.18/0.55 ~contains_cpq(triple(sk0_4,sk0_5,sk0_6),findmin_pqp_res(sk0_4))|spl0_2),
% 0.18/0.55 inference(resolution,[status(thm)],[f257,f234])).
% 0.18/0.55 fof(f4776,plain,(
% 0.18/0.55 ~contains_slb(sk0_5,findmin_pqp_res(sk0_4))|spl0_2),
% 0.18/0.55 inference(resolution,[status(thm)],[f4769,f161])).
% 0.18/0.55 fof(f4777,plain,(
% 0.18/0.55 $false|~spl0_61|spl0_2),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f4776,f2990])).
% 0.18/0.58 fof(f4778,plain,(
% 0.18/0.58 ~spl0_61|spl0_2),
% 0.18/0.58 inference(contradiction_clause,[status(thm)],[f4777])).
% 0.18/0.58 fof(f4779,plain,(
% 0.18/0.58 $false),
% 0.18/0.58 inference(sat_refutation,[status(thm)],[f262,f2993,f4768,f4778])).
% 0.18/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.58 % Elapsed time: 0.234884 seconds
% 0.18/0.58 % CPU time: 1.677348 seconds
% 0.18/0.58 % Memory used: 81.698 MB
%------------------------------------------------------------------------------