TSTP Solution File: SWW306+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW306+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n018.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 : Fri Sep 1 01:00:49 EDT 2023
% Result : Theorem 8.31s 2.38s
% Output : Refutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 18 unt; 0 def)
% Number of atoms : 100 ( 15 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 98 ( 42 ~; 30 |; 13 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-4 aty)
% Number of variables : 120 (; 106 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24392,plain,
$false,
inference(subsumption_resolution,[],[f24391,f24377]) ).
fof(f24377,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sK0))))),
inference(resolution,[],[f24368,f16539]) ).
fof(f16539,plain,
v_P(sK0,sK1),
inference(cnf_transformation,[],[f14392]) ).
fof(f14392,plain,
( ! [X2,X3] :
( ( ~ hBOOL(hAPP(v_Q(sK0),sK2(X2,X3)))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK2(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK1)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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)))) )
& v_P(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10315,f14391,f14390]) ).
fof(f14390,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ hBOOL(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)),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)))) )
& v_P(X0,X1) )
=> ( ! [X3,X2] :
( ? [X4] :
( ~ hBOOL(hAPP(v_Q(sK0),X4))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK1)) ) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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)))) )
& v_P(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14391,plain,
! [X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(v_Q(sK0),X4))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK1)) ) )
=> ( ~ hBOOL(hAPP(v_Q(sK0),sK2(X2,X3)))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK2(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10315,plain,
? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ hBOOL(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)),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)))) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5232]) ).
fof(f5232,plain,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ? [X2,X3] :
( ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(X2,X5),X1))
=> hBOOL(hAPP(hAPP(X3,X5),X4)) )
=> hBOOL(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)),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,[],[f5231]) ).
fof(f5231,negated_conjecture,
~ ! [X27,X28] :
( v_P(X27,X28)
=> ? [X311,X312] :
( ! [X32] :
( ! [X33] :
( hBOOL(hAPP(hAPP(X311,X33),X28))
=> hBOOL(hAPP(hAPP(X312,X33),X32)) )
=> hBOOL(hAPP(v_Q(X27),X32)) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X311,v_c,X312)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
inference(negated_conjecture,[],[f5230]) ).
fof(f5230,conjecture,
! [X27,X28] :
( v_P(X27,X28)
=> ? [X311,X312] :
( ! [X32] :
( ! [X33] :
( hBOOL(hAPP(hAPP(X311,X33),X28))
=> hBOOL(hAPP(hAPP(X312,X33),X32)) )
=> hBOOL(hAPP(v_Q(X27),X32)) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X311,v_c,X312)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.OFGxk04q8m/Vampire---4.8_26193',conj_1) ).
fof(f24368,plain,
! [X0,X1] :
( ~ v_P(X0,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0))))) ),
inference(forward_demodulation,[],[f24367,f17415]) ).
fof(f17415,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(cnf_transformation,[],[f5701]) ).
fof(f5701,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X22,X4] : hAPP(c_Set_OCollect(X4),X22) = X22,
file('/export/starexec/sandbox/tmp/tmp.OFGxk04q8m/Vampire---4.8_26193',fact_Collect__def) ).
fof(f24367,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0))))))
| ~ v_P(X0,X1) ),
inference(forward_demodulation,[],[f16542,f17616]) ).
fof(f17616,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,[],[f5902]) ).
fof(f5902,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,[],[f31]) ).
fof(f31,axiom,
! [X5,X4] : hAPP(hAPP(c_Set_Oinsert(X4),X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X4),hAPP(c_fequal,X5)),
file('/export/starexec/sandbox/tmp/tmp.OFGxk04q8m/Vampire---4.8_26193',fact_singleton__conv2) ).
fof(f16542,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f10316]) ).
fof(f10316,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5233]) ).
fof(f5233,plain,
! [X0,X1] :
( v_P(X0,X1)
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(rectify,[],[f5229]) ).
fof(f5229,axiom,
! [X27,X28] :
( v_P(X27,X28)
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X28)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X27)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/tmp/tmp.OFGxk04q8m/Vampire---4.8_26193',conj_0) ).
fof(f24391,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sK0))))),
inference(resolution,[],[f24384,f24364]) ).
fof(f24364,plain,
! [X2,X3] :
( ~ hBOOL(hAPP(v_Q(sK0),sK2(X2,X3)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3))) ),
inference(forward_demodulation,[],[f24363,f17415]) ).
fof(f24363,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,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3))))
| ~ hBOOL(hAPP(v_Q(sK0),sK2(X2,X3))) ),
inference(forward_demodulation,[],[f16541,f17616]) ).
fof(f16541,plain,
! [X2,X3] :
( ~ hBOOL(hAPP(v_Q(sK0),sK2(X2,X3)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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,[],[f14392]) ).
fof(f24384,plain,
hBOOL(hAPP(v_Q(sK0),sK2(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sK0))))),
inference(subsumption_resolution,[],[f24383,f23731]) ).
fof(f23731,plain,
! [X1] : hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
inference(equality_resolution,[],[f17911]) ).
fof(f17911,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_fequal,X1),X0))
| X0 != X1 ),
inference(cnf_transformation,[],[f6138]) ).
fof(f6138,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_fequal,X1),X0))
| X0 != X1 ),
inference(rectify,[],[f5215]) ).
fof(f5215,axiom,
! [X30,X15] :
( hBOOL(hAPP(hAPP(c_fequal,X15),X30))
| X15 != X30 ),
file('/export/starexec/sandbox/tmp/tmp.OFGxk04q8m/Vampire---4.8_26193',help_c__fequal__2) ).
fof(f24383,plain,
( ~ hBOOL(hAPP(hAPP(c_fequal,sK1),sK1))
| hBOOL(hAPP(v_Q(sK0),sK2(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sK0))))) ),
inference(forward_demodulation,[],[f24382,f23198]) ).
fof(f23198,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(X2,X0),X1) = hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0),
inference(cnf_transformation,[],[f9754]) ).
fof(f9754,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(X2,X0),X1) = hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0),
inference(rectify,[],[f5212]) ).
fof(f5212,axiom,
! [X31,X25,X22,X4,X47,X16] : hAPP(hAPP(hAPP(c_COMBC(X16,X47,X4),X22),X25),X31) = hAPP(hAPP(X22,X31),X25),
file('/export/starexec/sandbox/tmp/tmp.OFGxk04q8m/Vampire---4.8_26193',help_c__COMBC__1) ).
fof(f24382,plain,
( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1),sK1))
| hBOOL(hAPP(v_Q(sK0),sK2(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sK0))))) ),
inference(forward_demodulation,[],[f24381,f21114]) ).
fof(f21114,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
inference(cnf_transformation,[],[f8247]) ).
fof(f8247,plain,
! [X0,X1,X2,X3] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
inference(rectify,[],[f5210]) ).
fof(f5210,axiom,
! [X310,X309,X4,X38] : hAPP(hAPP(c_COMBK(X38,X4),X309),X310) = X309,
file('/export/starexec/sandbox/tmp/tmp.OFGxk04q8m/Vampire---4.8_26193',help_c__COMBK__1) ).
fof(f24381,plain,
! [X0] :
( hBOOL(hAPP(v_Q(sK0),sK2(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sK0)))))
| ~ hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),X0),sK1)) ),
inference(forward_demodulation,[],[f24378,f21114]) ).
fof(f24378,plain,
! [X0] :
( hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sK0)),X0),sK2(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(sK0)))))
| ~ hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK1)),X0),sK1)) ),
inference(resolution,[],[f24377,f24366]) ).
fof(f24366,plain,
! [X2,X3,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)))
| hBOOL(hAPP(hAPP(X3,X5),sK2(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK1)) ),
inference(forward_demodulation,[],[f24365,f17415]) ).
fof(f24365,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,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3))))
| hBOOL(hAPP(hAPP(X3,X5),sK2(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK1)) ),
inference(forward_demodulation,[],[f16540,f17616]) ).
fof(f16540,plain,
! [X2,X3,X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK2(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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,[],[f14392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.63/0.88 % Problem : SWW306+1 : TPTP v8.1.2. Released v5.2.0.
% 0.63/0.89 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.90/1.11 % Computer : n018.cluster.edu
% 0.90/1.11 % Model : x86_64 x86_64
% 0.90/1.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.90/1.11 % Memory : 8042.1875MB
% 0.90/1.11 % OS : Linux 3.10.0-693.el7.x86_64
% 0.90/1.11 % CPULimit : 300
% 0.90/1.11 % WCLimit : 300
% 0.90/1.11 % DateTime : Sun Aug 27 19:55:47 EDT 2023
% 0.90/1.11 % CPUTime :
% 0.90/1.11 This is a FOF_CAX_RFO_SEQ problem
% 0.90/1.11 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.OFGxk04q8m/Vampire---4.8_26193
% 0.90/1.11 % (26336)Running in auto input_syntax mode. Trying TPTP
% 0.97/1.37 % (26343)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.97/1.39 % (26339)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 0.97/1.39 % (26338)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 0.97/1.39 % (26342)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 0.97/1.40 % (26340)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 0.97/1.40 % (26337)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 0.97/1.40 % (26341)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 8.31/2.38 % (26337)First to succeed.
% 8.31/2.38 % (26337)Refutation found. Thanks to Tanya!
% 8.31/2.38 % SZS status Theorem for Vampire---4
% 8.31/2.38 % SZS output start Proof for Vampire---4
% See solution above
% 8.47/2.39 % (26337)------------------------------
% 8.47/2.39 % (26337)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.47/2.39 % (26337)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.47/2.39 % (26337)Termination reason: Refutation
% 8.47/2.39
% 8.47/2.39 % (26337)Memory used [KB]: 24562
% 8.47/2.39 % (26337)Time elapsed: 0.985 s
% 8.47/2.39 % (26337)------------------------------
% 8.47/2.39 % (26337)------------------------------
% 8.47/2.39 % (26336)Success in time 1.265 s
% 8.47/2.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------