TSTP Solution File: SWV415+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV415+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:46:58 EDT 2024
% Result : Theorem 18.69s 2.76s
% Output : CNFRefutation 18.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV415+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:42:11 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 18.69/2.76 % Refutation found
% 18.69/2.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.69/2.76 % SZS output start CNFRefutation for theBenchmark
% 18.69/2.76 fof(f42,axiom,(
% 18.69/2.76 (! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W) )),
% 18.69/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.69/2.76 fof(f54,axiom,(
% 18.69/2.76 (! [U,V] : i(triple(U,create_slb,V)) = create_pq )),
% 18.69/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.69/2.76 fof(f55,axiom,(
% 18.69/2.76 (! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X) )),
% 18.69/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.69/2.76 fof(f63,axiom,(
% 18.69/2.76 ( ( (! [U,V,W,X] : i(triple(U,create_slb,W)) = i(triple(V,create_slb,X)))& (! [Y] :( (! [Z,X1,X2,X3] : i(triple(Z,Y,X2)) = i(triple(X1,Y,X3)))=> (! [X4,X5,X6,X7,X8,X9] : i(triple(X4,insert_slb(Y,pair(X8,X9)),X6)) = i(triple(X5,insert_slb(Y,pair(X8,X9)),X7)) )) ))=> (! [X10,X11,X12,X13,X14] : i(triple(X10,X12,X13)) = i(triple(X11,X12,X14)) )) ),
% 18.69/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.69/2.76 fof(f64,conjecture,(
% 18.69/2.76 (! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X) )),
% 18.69/2.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.69/2.76 fof(f65,negated_conjecture,(
% 18.69/2.76 ~((! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X) ))),
% 18.69/2.76 inference(negated_conjecture,[status(cth)],[f64])).
% 18.69/2.76 fof(f167,plain,(
% 18.69/2.76 ![X0,X1,X2,X3]: (insert_cpq(triple(X0,X1,X2),X3)=triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2))),
% 18.69/2.76 inference(cnf_transformation,[status(esa)],[f42])).
% 18.69/2.76 fof(f193,plain,(
% 18.69/2.76 ![X0,X1]: (i(triple(X0,create_slb,X1))=create_pq)),
% 18.69/2.76 inference(cnf_transformation,[status(esa)],[f54])).
% 18.69/2.76 fof(f194,plain,(
% 18.69/2.76 ![X0,X1,X2,X3,X4]: (i(triple(X0,insert_slb(X1,pair(X2,X3)),X4))=insert_pq(i(triple(X0,X1,X4)),X2))),
% 18.69/2.76 inference(cnf_transformation,[status(esa)],[f55])).
% 18.69/2.76 fof(f230,plain,(
% 18.69/2.76 ((?[U,V,W,X]: ~i(triple(U,create_slb,W))=i(triple(V,create_slb,X)))|(?[Y]: ((![Z,X1,X2,X3]: i(triple(Z,Y,X2))=i(triple(X1,Y,X3)))&(?[X4,X5,X6,X7,X8,X9]: ~i(triple(X4,insert_slb(Y,pair(X8,X9)),X6))=i(triple(X5,insert_slb(Y,pair(X8,X9)),X7))))))|(![X10,X11,X12,X13,X14]: i(triple(X10,X12,X13))=i(triple(X11,X12,X14)))),
% 18.69/2.76 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 18.69/2.76 fof(f231,plain,(
% 18.69/2.76 (~i(triple(sk0_4,create_slb,sk0_6))=i(triple(sk0_5,create_slb,sk0_7))|((![Z,X1,X2,X3]: i(triple(Z,sk0_8,X2))=i(triple(X1,sk0_8,X3)))&~i(triple(sk0_9,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_11))=i(triple(sk0_10,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_12))))|(![X10,X11,X12,X13,X14]: i(triple(X10,X12,X13))=i(triple(X11,X12,X14)))),
% 18.69/2.76 inference(skolemization,[status(esa)],[f230])).
% 18.69/2.76 fof(f232,plain,(
% 18.69/2.76 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~i(triple(sk0_4,create_slb,sk0_6))=i(triple(sk0_5,create_slb,sk0_7))|i(triple(X0,sk0_8,X1))=i(triple(X2,sk0_8,X3))|i(triple(X4,X5,X6))=i(triple(X7,X5,X8)))),
% 18.69/2.76 inference(cnf_transformation,[status(esa)],[f231])).
% 18.69/2.76 fof(f233,plain,(
% 18.69/2.76 ![X0,X1,X2,X3,X4]: (~i(triple(sk0_4,create_slb,sk0_6))=i(triple(sk0_5,create_slb,sk0_7))|~i(triple(sk0_9,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_11))=i(triple(sk0_10,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_12))|i(triple(X0,X1,X2))=i(triple(X3,X1,X4)))),
% 18.69/2.76 inference(cnf_transformation,[status(esa)],[f231])).
% 18.69/2.76 fof(f234,plain,(
% 18.69/2.76 (?[U,V,W,X]: ~i(insert_cpq(triple(U,V,W),X))=insert_pq(i(triple(U,V,W)),X))),
% 18.69/2.76 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 18.69/2.76 fof(f235,plain,(
% 18.69/2.76 ~i(insert_cpq(triple(sk0_15,sk0_16,sk0_17),sk0_18))=insert_pq(i(triple(sk0_15,sk0_16,sk0_17)),sk0_18)),
% 18.69/2.76 inference(skolemization,[status(esa)],[f234])).
% 18.69/2.76 fof(f236,plain,(
% 18.69/2.76 ~i(insert_cpq(triple(sk0_15,sk0_16,sk0_17),sk0_18))=insert_pq(i(triple(sk0_15,sk0_16,sk0_17)),sk0_18)),
% 18.69/2.76 inference(cnf_transformation,[status(esa)],[f235])).
% 18.69/2.76 fof(f237,plain,(
% 18.69/2.76 spl0_0 <=> i(triple(sk0_4,create_slb,sk0_6))=i(triple(sk0_5,create_slb,sk0_7))),
% 18.69/2.76 introduced(split_symbol_definition)).
% 18.69/2.76 fof(f239,plain,(
% 18.69/2.76 ~i(triple(sk0_4,create_slb,sk0_6))=i(triple(sk0_5,create_slb,sk0_7))|spl0_0),
% 18.69/2.76 inference(component_clause,[status(thm)],[f237])).
% 18.69/2.76 fof(f240,plain,(
% 18.69/2.76 spl0_1 <=> i(triple(X0,sk0_8,X1))=i(triple(X2,sk0_8,X3))),
% 18.69/2.78 introduced(split_symbol_definition)).
% 18.69/2.78 fof(f241,plain,(
% 18.69/2.78 ![X0,X1,X2,X3]: (i(triple(X0,sk0_8,X1))=i(triple(X2,sk0_8,X3))|~spl0_1)),
% 18.69/2.78 inference(component_clause,[status(thm)],[f240])).
% 18.69/2.78 fof(f243,plain,(
% 18.69/2.78 spl0_2 <=> i(triple(X4,X5,X6))=i(triple(X7,X5,X8))),
% 18.69/2.78 introduced(split_symbol_definition)).
% 18.69/2.78 fof(f244,plain,(
% 18.69/2.78 ![X0,X1,X2,X3,X4]: (i(triple(X0,X1,X2))=i(triple(X3,X1,X4))|~spl0_2)),
% 18.69/2.78 inference(component_clause,[status(thm)],[f243])).
% 18.69/2.78 fof(f246,plain,(
% 18.69/2.78 ~spl0_0|spl0_1|spl0_2),
% 18.69/2.78 inference(split_clause,[status(thm)],[f232,f237,f240,f243])).
% 18.69/2.78 fof(f247,plain,(
% 18.69/2.78 spl0_3 <=> i(triple(sk0_9,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_11))=i(triple(sk0_10,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_12))),
% 18.69/2.78 introduced(split_symbol_definition)).
% 18.69/2.78 fof(f249,plain,(
% 18.69/2.78 ~i(triple(sk0_9,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_11))=i(triple(sk0_10,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_12))|spl0_3),
% 18.69/2.78 inference(component_clause,[status(thm)],[f247])).
% 18.69/2.78 fof(f250,plain,(
% 18.69/2.78 ~spl0_0|~spl0_3|spl0_2),
% 18.69/2.78 inference(split_clause,[status(thm)],[f233,f237,f247,f243])).
% 18.69/2.78 fof(f381,plain,(
% 18.69/2.78 ~insert_pq(i(triple(sk0_9,sk0_8,sk0_11)),sk0_13)=i(triple(sk0_10,insert_slb(sk0_8,pair(sk0_13,sk0_14)),sk0_12))|spl0_3),
% 18.69/2.78 inference(forward_demodulation,[status(thm)],[f194,f249])).
% 18.69/2.78 fof(f382,plain,(
% 18.69/2.78 ~insert_pq(i(triple(sk0_9,sk0_8,sk0_11)),sk0_13)=insert_pq(i(triple(sk0_10,sk0_8,sk0_12)),sk0_13)|spl0_3),
% 18.69/2.78 inference(forward_demodulation,[status(thm)],[f194,f381])).
% 18.69/2.78 fof(f3711,plain,(
% 18.69/2.78 ~i(triple(sk0_4,create_slb,sk0_6))=create_pq|spl0_0),
% 18.69/2.78 inference(backward_demodulation,[status(thm)],[f193,f239])).
% 18.69/2.78 fof(f3712,plain,(
% 18.69/2.78 ~create_pq=create_pq|spl0_0),
% 18.69/2.78 inference(forward_demodulation,[status(thm)],[f193,f3711])).
% 18.69/2.78 fof(f3713,plain,(
% 18.69/2.78 $false|spl0_0),
% 18.69/2.78 inference(trivial_equality_resolution,[status(esa)],[f3712])).
% 18.69/2.78 fof(f3714,plain,(
% 18.69/2.78 spl0_0),
% 18.69/2.78 inference(contradiction_clause,[status(thm)],[f3713])).
% 18.69/2.78 fof(f6683,plain,(
% 18.69/2.78 ![X0,X1]: (~insert_pq(i(triple(sk0_9,sk0_8,sk0_11)),sk0_13)=insert_pq(i(triple(X0,sk0_8,X1)),sk0_13)|spl0_3|~spl0_1)),
% 18.69/2.78 inference(paramodulation,[status(thm)],[f241,f382])).
% 18.69/2.78 fof(f7663,plain,(
% 18.69/2.78 $false|spl0_3|~spl0_1),
% 18.69/2.78 inference(equality_resolution,[status(esa)],[f6683])).
% 18.69/2.78 fof(f7664,plain,(
% 18.69/2.78 spl0_3|~spl0_1),
% 18.69/2.78 inference(contradiction_clause,[status(thm)],[f7663])).
% 18.69/2.78 fof(f8744,plain,(
% 18.69/2.78 ![X0,X1,X2,X3,X4,X5]: (i(triple(X0,insert_slb(X1,pair(X2,bottom)),X3))=i(insert_cpq(triple(X4,X1,X5),X2))|~spl0_2)),
% 18.69/2.78 inference(paramodulation,[status(thm)],[f167,f244])).
% 18.69/2.78 fof(f8745,plain,(
% 18.69/2.78 ![X0,X1,X2,X3,X4,X5]: (insert_pq(i(triple(X0,X1,X2)),X3)=i(insert_cpq(triple(X4,X1,X5),X3))|~spl0_2)),
% 18.69/2.78 inference(forward_demodulation,[status(thm)],[f194,f8744])).
% 18.69/2.78 fof(f8766,plain,(
% 18.69/2.78 $false|~spl0_2),
% 18.69/2.78 inference(backward_subsumption_resolution,[status(thm)],[f236,f8745])).
% 18.69/2.78 fof(f8767,plain,(
% 18.69/2.78 ~spl0_2),
% 18.69/2.78 inference(contradiction_clause,[status(thm)],[f8766])).
% 18.69/2.78 fof(f8768,plain,(
% 18.69/2.78 $false),
% 18.69/2.78 inference(sat_refutation,[status(thm)],[f246,f250,f3714,f7664,f8767])).
% 18.69/2.78 % SZS output end CNFRefutation for theBenchmark.p
% 18.69/2.80 % Elapsed time: 2.432572 seconds
% 18.69/2.80 % CPU time: 19.221299 seconds
% 18.69/2.80 % Total memory used: 177.608 MB
% 18.69/2.80 % Net memory used: 175.540 MB
%------------------------------------------------------------------------------