TSTP Solution File: SWV378+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV378+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 0.15s 0.58s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV378+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 12:01:38 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.15/0.58 % Refutation found
% 0.15/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.58 fof(f2,axiom,(
% 0.15/0.58 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f4,axiom,(
% 0.15/0.58 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f28,axiom,(
% 0.15/0.58 (! [U,V] :( ok(triple(U,V,bad))<=> $false ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f29,axiom,(
% 0.15/0.58 (! [U,V,W] :( ~ ok(triple(U,V,W))=> W = bad ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f31,axiom,(
% 0.15/0.58 (! [U,V,W,X] :( ~ contains_slb(V,X)=> remove_cpq(triple(U,V,W),X) = triple(U,V,bad) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f32,axiom,(
% 0.15/0.58 (! [U,V,W,X] :( ( contains_slb(V,X)& less_than(lookup_slb(V,X),X) )=> remove_cpq(triple(U,V,W),X) = triple(remove_pqp(U,X),remove_slb(V,X),W) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.59 fof(f33,axiom,(
% 0.15/0.59 (! [U,V,W,X] :( ( contains_slb(V,X)& strictly_less_than(X,lookup_slb(V,X)) )=> remove_cpq(triple(U,V,W),X) = triple(remove_pqp(U,X),remove_slb(V,X),bad) ) )),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.59 fof(f42,conjecture,(
% 0.15/0.59 (! [U,V,W,X] :( ~ ok(triple(U,V,W))=> ~ ok(remove_cpq(triple(U,V,W),X)) ) )),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.59 fof(f43,negated_conjecture,(
% 0.15/0.59 ~((! [U,V,W,X] :( ~ ok(triple(U,V,W))=> ~ ok(remove_cpq(triple(U,V,W),X)) ) ))),
% 0.15/0.59 inference(negated_conjecture,[status(cth)],[f42])).
% 0.15/0.59 fof(f47,plain,(
% 0.15/0.59 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.59 fof(f49,plain,(
% 0.15/0.59 ![U,V]: ((~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U)))&(strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 0.15/0.59 inference(NNF_transformation,[status(esa)],[f4])).
% 0.15/0.59 fof(f50,plain,(
% 0.15/0.59 (![U,V]: (~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U))))&(![U,V]: (strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 0.15/0.59 inference(miniscoping,[status(esa)],[f49])).
% 0.15/0.59 fof(f53,plain,(
% 0.15/0.59 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f50])).
% 0.15/0.59 fof(f111,plain,(
% 0.15/0.59 ![U,V]: ((~ok(triple(U,V,bad))|$false)&(ok(triple(U,V,bad))|$true))),
% 0.15/0.59 inference(NNF_transformation,[status(esa)],[f28])).
% 0.15/0.59 fof(f112,plain,(
% 0.15/0.59 ((![U,V]: ~ok(triple(U,V,bad)))|$false)&((![U,V]: ok(triple(U,V,bad)))|$true)),
% 0.15/0.59 inference(miniscoping,[status(esa)],[f111])).
% 0.15/0.59 fof(f113,plain,(
% 0.15/0.59 ![U,V]: ~ok(triple(U,V,bad))),
% 0.15/0.59 inference($true_and_$false_simplification,[status(esa)],[f112])).
% 0.15/0.59 fof(f114,plain,(
% 0.15/0.59 ![X0,X1]: (~ok(triple(X0,X1,bad)))),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f113])).
% 0.15/0.59 fof(f115,plain,(
% 0.15/0.59 ![U,V,W]: (ok(triple(U,V,W))|W=bad)),
% 0.15/0.59 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.15/0.59 fof(f116,plain,(
% 0.15/0.59 ![W]: ((![U,V]: ok(triple(U,V,W)))|W=bad)),
% 0.15/0.59 inference(miniscoping,[status(esa)],[f115])).
% 0.15/0.59 fof(f117,plain,(
% 0.15/0.59 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|X2=bad)),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f116])).
% 0.15/0.59 fof(f119,plain,(
% 0.15/0.59 ![U,V,W,X]: (contains_slb(V,X)|remove_cpq(triple(U,V,W),X)=triple(U,V,bad))),
% 0.15/0.59 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.15/0.59 fof(f120,plain,(
% 0.15/0.59 ![V,X]: (contains_slb(V,X)|(![U,W]: remove_cpq(triple(U,V,W),X)=triple(U,V,bad)))),
% 0.15/0.59 inference(miniscoping,[status(esa)],[f119])).
% 0.15/0.59 fof(f121,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (contains_slb(X0,X1)|remove_cpq(triple(X2,X0,X3),X1)=triple(X2,X0,bad))),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f120])).
% 0.15/0.59 fof(f122,plain,(
% 0.15/0.59 ![U,V,W,X]: ((~contains_slb(V,X)|~less_than(lookup_slb(V,X),X))|remove_cpq(triple(U,V,W),X)=triple(remove_pqp(U,X),remove_slb(V,X),W))),
% 0.15/0.59 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.15/0.59 fof(f123,plain,(
% 0.15/0.59 ![V,X]: ((~contains_slb(V,X)|~less_than(lookup_slb(V,X),X))|(![U,W]: remove_cpq(triple(U,V,W),X)=triple(remove_pqp(U,X),remove_slb(V,X),W)))),
% 0.15/0.59 inference(miniscoping,[status(esa)],[f122])).
% 0.15/0.59 fof(f124,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (~contains_slb(X0,X1)|~less_than(lookup_slb(X0,X1),X1)|remove_cpq(triple(X2,X0,X3),X1)=triple(remove_pqp(X2,X1),remove_slb(X0,X1),X3))),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f123])).
% 0.15/0.59 fof(f125,plain,(
% 0.15/0.59 ![U,V,W,X]: ((~contains_slb(V,X)|~strictly_less_than(X,lookup_slb(V,X)))|remove_cpq(triple(U,V,W),X)=triple(remove_pqp(U,X),remove_slb(V,X),bad))),
% 0.15/0.59 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.15/0.59 fof(f126,plain,(
% 0.15/0.59 ![V,X]: ((~contains_slb(V,X)|~strictly_less_than(X,lookup_slb(V,X)))|(![U,W]: remove_cpq(triple(U,V,W),X)=triple(remove_pqp(U,X),remove_slb(V,X),bad)))),
% 0.15/0.59 inference(miniscoping,[status(esa)],[f125])).
% 0.15/0.59 fof(f127,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (~contains_slb(X0,X1)|~strictly_less_than(X1,lookup_slb(X0,X1))|remove_cpq(triple(X2,X0,X3),X1)=triple(remove_pqp(X2,X1),remove_slb(X0,X1),bad))),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f126])).
% 0.15/0.59 fof(f144,plain,(
% 0.15/0.59 (?[U,V,W,X]: (~ok(triple(U,V,W))&ok(remove_cpq(triple(U,V,W),X))))),
% 0.15/0.59 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.15/0.59 fof(f145,plain,(
% 0.15/0.59 ?[U,V,W]: (~ok(triple(U,V,W))&(?[X]: ok(remove_cpq(triple(U,V,W),X))))),
% 0.15/0.59 inference(miniscoping,[status(esa)],[f144])).
% 0.15/0.59 fof(f146,plain,(
% 0.15/0.59 (~ok(triple(sk0_0,sk0_1,sk0_2))&ok(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3)))),
% 0.15/0.59 inference(skolemization,[status(esa)],[f145])).
% 0.15/0.59 fof(f147,plain,(
% 0.15/0.59 ~ok(triple(sk0_0,sk0_1,sk0_2))),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f146])).
% 0.15/0.59 fof(f148,plain,(
% 0.15/0.59 ok(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3))),
% 0.15/0.59 inference(cnf_transformation,[status(esa)],[f146])).
% 0.15/0.59 fof(f151,plain,(
% 0.15/0.59 sk0_2=bad),
% 0.15/0.59 inference(resolution,[status(thm)],[f117,f147])).
% 0.15/0.59 fof(f152,plain,(
% 0.15/0.59 ok(remove_cpq(triple(sk0_0,sk0_1,bad),sk0_3))),
% 0.15/0.59 inference(backward_demodulation,[status(thm)],[f151,f148])).
% 0.15/0.59 fof(f158,plain,(
% 0.15/0.59 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.59 inference(forward_subsumption_resolution,[status(thm)],[f53,f47])).
% 0.15/0.59 fof(f491,plain,(
% 0.15/0.59 spl0_14 <=> remove_cpq(triple(X1,sk0_1,X2),sk0_3)=triple(X1,sk0_1,bad)),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f492,plain,(
% 0.15/0.59 ![X0,X1]: (remove_cpq(triple(X0,sk0_1,X1),sk0_3)=triple(X0,sk0_1,bad)|~spl0_14)),
% 0.15/0.59 inference(component_clause,[status(thm)],[f491])).
% 0.15/0.59 fof(f539,plain,(
% 0.15/0.59 ok(triple(sk0_0,sk0_1,bad))|~spl0_14),
% 0.15/0.59 inference(forward_demodulation,[status(thm)],[f492,f152])).
% 0.15/0.59 fof(f540,plain,(
% 0.15/0.59 $false|~spl0_14),
% 0.15/0.59 inference(backward_subsumption_resolution,[status(thm)],[f539,f114])).
% 0.15/0.59 fof(f541,plain,(
% 0.15/0.59 ~spl0_14),
% 0.15/0.59 inference(contradiction_clause,[status(thm)],[f540])).
% 0.15/0.59 fof(f600,plain,(
% 0.15/0.59 ![X0,X1,X2,X3,X4,X5]: (~less_than(lookup_slb(X0,X1),X1)|remove_cpq(triple(X2,X0,X3),X1)=triple(remove_pqp(X2,X1),remove_slb(X0,X1),X3)|remove_cpq(triple(X4,X0,X5),X1)=triple(X4,X0,bad))),
% 0.15/0.59 inference(resolution,[status(thm)],[f124,f121])).
% 0.15/0.59 fof(f888,plain,(
% 0.15/0.59 spl0_44 <=> strictly_less_than(sk0_3,lookup_slb(sk0_1,sk0_3))),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f889,plain,(
% 0.15/0.59 strictly_less_than(sk0_3,lookup_slb(sk0_1,sk0_3))|~spl0_44),
% 0.15/0.59 inference(component_clause,[status(thm)],[f888])).
% 0.15/0.59 fof(f890,plain,(
% 0.15/0.59 ~strictly_less_than(sk0_3,lookup_slb(sk0_1,sk0_3))|spl0_44),
% 0.15/0.59 inference(component_clause,[status(thm)],[f888])).
% 0.15/0.59 fof(f906,plain,(
% 0.15/0.59 less_than(lookup_slb(sk0_1,sk0_3),sk0_3)|spl0_44),
% 0.15/0.59 inference(resolution,[status(thm)],[f890,f158])).
% 0.15/0.59 fof(f909,plain,(
% 0.15/0.59 spl0_46 <=> contains_slb(sk0_1,sk0_3)),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f911,plain,(
% 0.15/0.59 ~contains_slb(sk0_1,sk0_3)|spl0_46),
% 0.15/0.59 inference(component_clause,[status(thm)],[f909])).
% 0.15/0.59 fof(f912,plain,(
% 0.15/0.59 spl0_47 <=> remove_cpq(triple(X0,sk0_1,X1),sk0_3)=triple(remove_pqp(X0,sk0_3),remove_slb(sk0_1,sk0_3),bad)),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f913,plain,(
% 0.15/0.59 ![X0,X1]: (remove_cpq(triple(X0,sk0_1,X1),sk0_3)=triple(remove_pqp(X0,sk0_3),remove_slb(sk0_1,sk0_3),bad)|~spl0_47)),
% 0.15/0.59 inference(component_clause,[status(thm)],[f912])).
% 0.15/0.59 fof(f915,plain,(
% 0.15/0.59 ![X0,X1]: (~contains_slb(sk0_1,sk0_3)|remove_cpq(triple(X0,sk0_1,X1),sk0_3)=triple(remove_pqp(X0,sk0_3),remove_slb(sk0_1,sk0_3),bad)|~spl0_44)),
% 0.15/0.59 inference(resolution,[status(thm)],[f889,f127])).
% 0.15/0.59 fof(f916,plain,(
% 0.15/0.59 ~spl0_46|spl0_47|~spl0_44),
% 0.15/0.59 inference(split_clause,[status(thm)],[f915,f909,f912,f888])).
% 0.15/0.59 fof(f918,plain,(
% 0.15/0.59 ![X0,X1]: (remove_cpq(triple(X0,sk0_1,X1),sk0_3)=triple(X0,sk0_1,bad)|spl0_46)),
% 0.15/0.59 inference(resolution,[status(thm)],[f911,f121])).
% 0.15/0.59 fof(f919,plain,(
% 0.15/0.59 spl0_14|spl0_46),
% 0.15/0.59 inference(split_clause,[status(thm)],[f918,f491,f909])).
% 0.15/0.59 fof(f934,plain,(
% 0.15/0.59 spl0_48 <=> remove_cpq(triple(X0,sk0_1,X1),sk0_3)=triple(remove_pqp(X0,sk0_3),remove_slb(sk0_1,sk0_3),X1)),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f935,plain,(
% 0.15/0.59 ![X0,X1]: (remove_cpq(triple(X0,sk0_1,X1),sk0_3)=triple(remove_pqp(X0,sk0_3),remove_slb(sk0_1,sk0_3),X1)|~spl0_48)),
% 0.15/0.59 inference(component_clause,[status(thm)],[f934])).
% 0.15/0.59 fof(f937,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (remove_cpq(triple(X0,sk0_1,X1),sk0_3)=triple(remove_pqp(X0,sk0_3),remove_slb(sk0_1,sk0_3),X1)|remove_cpq(triple(X2,sk0_1,X3),sk0_3)=triple(X2,sk0_1,bad)|spl0_44)),
% 0.15/0.59 inference(resolution,[status(thm)],[f906,f600])).
% 0.15/0.59 fof(f938,plain,(
% 0.15/0.59 spl0_48|spl0_14|spl0_44),
% 0.15/0.59 inference(split_clause,[status(thm)],[f937,f934,f491,f888])).
% 0.15/0.59 fof(f989,plain,(
% 0.15/0.59 ![X0]: (~ok(remove_cpq(triple(X0,sk0_1,bad),sk0_3))|~spl0_48)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f935,f114])).
% 0.15/0.59 fof(f1006,plain,(
% 0.15/0.59 $false|~spl0_48),
% 0.15/0.59 inference(backward_subsumption_resolution,[status(thm)],[f152,f989])).
% 0.15/0.59 fof(f1007,plain,(
% 0.15/0.59 ~spl0_48),
% 0.15/0.59 inference(contradiction_clause,[status(thm)],[f1006])).
% 0.15/0.59 fof(f1027,plain,(
% 0.15/0.59 ![X0,X1]: (~ok(remove_cpq(triple(X0,sk0_1,X1),sk0_3))|~spl0_47)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f913,f114])).
% 0.15/0.59 fof(f1165,plain,(
% 0.15/0.59 $false|~spl0_47),
% 0.15/0.59 inference(backward_subsumption_resolution,[status(thm)],[f152,f1027])).
% 0.15/0.59 fof(f1166,plain,(
% 0.15/0.59 ~spl0_47),
% 0.15/0.59 inference(contradiction_clause,[status(thm)],[f1165])).
% 0.15/0.59 fof(f1167,plain,(
% 0.15/0.59 $false),
% 0.15/0.59 inference(sat_refutation,[status(thm)],[f541,f916,f919,f938,f1007,f1166])).
% 0.15/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.80/0.61 % Elapsed time: 0.289296 seconds
% 1.80/0.61 % CPU time: 1.907554 seconds
% 1.80/0.61 % Memory used: 79.392 MB
%------------------------------------------------------------------------------