TSTP Solution File: SWW395+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW395+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 : Mon Jun 24 18:32:19 EDT 2024
% Result : Theorem 0.52s 0.73s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 19 unt; 0 def)
% Number of atoms : 95 ( 12 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 98 ( 44 ~; 30 |; 13 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 123 ( 109 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5748,plain,
$false,
inference(resolution,[],[f5740,f5710]) ).
fof(f5710,plain,
! [X1] : hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
inference(equality_resolution,[],[f5661]) ).
fof(f5661,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_fequal,X1),X0))
| X0 != X1 ),
inference(cnf_transformation,[],[f5336]) ).
fof(f5336,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_fequal,X1),X0))
| X0 != X1 ),
inference(rectify,[],[f5227]) ).
fof(f5227,axiom,
! [X30,X20] :
( hBOOL(hAPP(hAPP(c_fequal,X20),X30))
| X20 != X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5740,plain,
! [X0] : ~ hBOOL(hAPP(hAPP(c_fequal,X0),sK2)),
inference(subsumption_resolution,[],[f5739,f5509]) ).
fof(f5509,plain,
hBOOL(hAPP(hAPP(v_P,sK1),sK2)),
inference(cnf_transformation,[],[f5446]) ).
fof(f5446,plain,
( ! [X2,X3] :
( ( ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(X2,X3)))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
& hBOOL(hAPP(hAPP(v_P,sK1),sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f5365,f5445,f5444]) ).
fof(f5444,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q,X0),X4))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
& hBOOL(hAPP(hAPP(v_P,X0),X1)) )
=> ( ! [X3,X2] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q,sK1),X4))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
& hBOOL(hAPP(hAPP(v_P,sK1),sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f5445,plain,
! [X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q,sK1),X4))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
=> ( ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(X2,X3)))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5365,plain,
? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q,X0),X4))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
& hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
inference(ennf_transformation,[],[f5244]) ).
fof(f5244,plain,
~ ! [X0,X1] :
( hBOOL(hAPP(hAPP(v_P,X0),X1))
=> ? [X2,X3] :
( ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(X2,X5),X1))
=> hBOOL(hAPP(hAPP(X3,X5),X4)) )
=> hBOOL(hAPP(hAPP(v_Q,X0),X4)) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
inference(rectify,[],[f5243]) ).
fof(f5243,negated_conjecture,
~ ! [X26,X27] :
( hBOOL(hAPP(hAPP(v_P,X26),X27))
=> ? [X314,X315] :
( ! [X32] :
( ! [X33] :
( hBOOL(hAPP(hAPP(X314,X33),X27))
=> hBOOL(hAPP(hAPP(X315,X33),X32)) )
=> hBOOL(hAPP(hAPP(v_Q,X26),X32)) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X314),v_c),X315)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
inference(negated_conjecture,[],[f5242]) ).
fof(f5242,conjecture,
! [X26,X27] :
( hBOOL(hAPP(hAPP(v_P,X26),X27))
=> ? [X314,X315] :
( ! [X32] :
( ! [X33] :
( hBOOL(hAPP(hAPP(X314,X33),X27))
=> hBOOL(hAPP(hAPP(X315,X33),X32)) )
=> hBOOL(hAPP(hAPP(v_Q,X26),X32)) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X314),v_c),X315)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5739,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,sK1),sK2))
| ~ hBOOL(hAPP(hAPP(c_fequal,X0),sK2)) ),
inference(resolution,[],[f5738,f5688]) ).
fof(f5688,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_fconj,X1),X0))
| ~ hBOOL(X0)
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f5356]) ).
fof(f5356,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_fconj,X1),X0))
| ~ hBOOL(X0)
| ~ hBOOL(X1) ),
inference(rectify,[],[f5232]) ).
fof(f5232,axiom,
! [X7,X6] :
( hBOOL(hAPP(hAPP(c_fconj,X6),X7))
| ~ hBOOL(X7)
| ~ hBOOL(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5738,plain,
! [X0] : ~ hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(c_fequal,X0),sK2)),hAPP(hAPP(v_P,sK1),sK2))),
inference(resolution,[],[f5727,f5722]) ).
fof(f5722,plain,
! [X0] : ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)))),v_P),v_Q))),
inference(resolution,[],[f5714,f5712]) ).
fof(f5712,plain,
! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3))))
| ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(X2,X3))) ),
inference(forward_demodulation,[],[f5511,f5663]) ).
fof(f5663,plain,
! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X0)),
inference(cnf_transformation,[],[f5339]) ).
fof(f5339,plain,
! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X0)),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X8,X4] : hAPP(hAPP(c_Set_Oinsert(X4),X8),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X4),hAPP(c_fequal,X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5511,plain,
! [X2,X3] :
( ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(X2,X3)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f5446]) ).
fof(f5714,plain,
! [X0] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)))),v_P)),v_c),v_Q)))),
inference(forward_demodulation,[],[f5512,f5663]) ).
fof(f5512,plain,
! [X0] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)))),v_P)),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5245]) ).
fof(f5245,plain,
! [X0] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)))),v_P)),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(rectify,[],[f5241]) ).
fof(f5241,axiom,
! [X32] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X32)))),v_P)),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5727,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(v_Q,X0),sK3(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),v_Q)))
| ~ hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(c_fequal,X1),sK2)),hAPP(hAPP(v_P,X0),sK2))) ),
inference(forward_demodulation,[],[f5726,f5656]) ).
fof(f5656,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(cnf_transformation,[],[f5332]) ).
fof(f5332,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(rectify,[],[f5223]) ).
fof(f5223,axiom,
! [X31,X7,X6,X62,X4,X21] : hAPP(hAPP(hAPP(c_COMBB(X21,X4,X62),X6),X7),X31) = hAPP(X6,hAPP(X7,X31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5726,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)),sK2),hAPP(hAPP(v_P,X0),sK2)))
| hBOOL(hAPP(hAPP(v_Q,X0),sK3(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),v_Q))) ),
inference(forward_demodulation,[],[f5725,f5655]) ).
fof(f5655,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f5331]) ).
fof(f5331,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(rectify,[],[f5225]) ).
fof(f5225,axiom,
! [X31,X7,X6,X4,X62,X21] : hAPP(hAPP(hAPP(c_COMBS(X21,X62,X4),X6),X7),X31) = hAPP(hAPP(X6,X31),hAPP(X7,X31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5725,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1))),hAPP(v_P,X0)),sK2))
| hBOOL(hAPP(hAPP(v_Q,X0),sK3(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),v_Q))) ),
inference(forward_demodulation,[],[f5721,f5656]) ).
fof(f5721,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(v_Q,X0),sK3(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),v_Q)))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),X0),sK2)) ),
inference(resolution,[],[f5714,f5713]) ).
fof(f5713,plain,
! [X2,X3,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3))))
| hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ),
inference(forward_demodulation,[],[f5510,f5663]) ).
fof(f5510,plain,
! [X2,X3,X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f5446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW395+1 : TPTP v8.2.0. Released v5.2.0.
% 0.10/0.12 % Command : run_vampire %s %d THM
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % 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 : Wed Jun 19 05:58:39 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.35 This is a FOF_CAX_RFO_SEQ problem
% 0.13/0.35 Running first-order theorem proving
% 0.13/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.69 % (26066)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.69 % (26071)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.48/0.72 % (26066)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.72 % (26070)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.48/0.72 % (26066)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.72 % (26072)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.48/0.72 % (26066)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.72 % (26068)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.48/0.72 % (26066)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.72 % (26069)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.48/0.72 % (26066)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.72 % (26073)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.48/0.72 % (26066)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.72 % (26067)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.52/0.73 % (26071)First to succeed.
% 0.52/0.73 % (26071)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26066"
% 0.52/0.73 % (26066)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73 % (26071)Refutation found. Thanks to Tanya!
% 0.52/0.73 % SZS status Theorem for theBenchmark
% 0.52/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.73 % (26071)------------------------------
% 0.52/0.73 % (26071)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.73 % (26071)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.73 % (26071)Termination reason: Refutation
% 0.52/0.73
% 0.52/0.73 % (26071)Memory used [KB]: 6756
% 0.52/0.73 % (26071)Time elapsed: 0.036 s
% 0.52/0.73 % (26071)Instructions burned: 96 (million)
% 0.52/0.73 % (26071)------------------------------
% 0.52/0.73 % (26071)------------------------------
% 0.52/0.73 % (26066)Success in time 0.076 s
%------------------------------------------------------------------------------