TSTP Solution File: SWW391+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW391+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 1 04:18:23 EDT 2024
% Result : Theorem 1.14s 1.37s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 36 unt; 0 def)
% Number of atoms : 136 ( 11 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 131 ( 56 ~; 40 |; 22 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 21 con; 0-2 aty)
% Number of variables : 64 ( 47 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5817,plain,
$false,
inference(avatar_sat_refutation,[],[f5751,f5806,f5816]) ).
fof(f5816,plain,
~ spl36_2,
inference(avatar_contradiction_clause,[],[f5815]) ).
fof(f5815,plain,
( $false
| ~ spl36_2 ),
inference(subsumption_resolution,[],[f5814,f5750]) ).
fof(f5750,plain,
( hBOOL(sF33)
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f5748]) ).
fof(f5748,plain,
( spl36_2
<=> hBOOL(sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_2])]) ).
fof(f5814,plain,
~ hBOOL(sF33),
inference(forward_demodulation,[],[f5813,f5728]) ).
fof(f5728,plain,
hAPP(sF32,sK2) = sF33,
introduced(function_definition,[new_symbols(definition,[sF33])]) ).
fof(f5813,plain,
~ hBOOL(hAPP(sF32,sK2)),
inference(forward_demodulation,[],[f5812,f5727]) ).
fof(f5727,plain,
hAPP(v_P_H,sK1) = sF32,
introduced(function_definition,[new_symbols(definition,[sF32])]) ).
fof(f5812,plain,
~ hBOOL(hAPP(hAPP(v_P_H,sK1),sK2)),
inference(subsumption_resolution,[],[f5811,f5795]) ).
fof(f5795,plain,
~ hBOOL(hAPP(sF25,sK3(v_P_H,v_Q_H))),
inference(resolution,[],[f5742,f5723]) ).
fof(f5723,plain,
! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(sF27,hAPP(hAPP(hAPP(sF28,X2),v_c),X3)),sF30))
| ~ hBOOL(hAPP(sF25,sK3(X2,X3))) ),
inference(definition_folding,[],[f5507,f5722,f5721,f5718,f5720,f5719,f5718,f5717]) ).
fof(f5717,plain,
hAPP(v_Q_H,sK1) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f5719,plain,
c_Set_Oinsert(sF26) = sF27,
introduced(function_definition,[new_symbols(definition,[sF27])]) ).
fof(f5720,plain,
c_Hoare__Mirabelle_Otriple_Otriple(t_a) = sF28,
introduced(function_definition,[new_symbols(definition,[sF28])]) ).
fof(f5718,plain,
tc_Hoare__Mirabelle_Otriple(t_a) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f5721,plain,
tc_fun(sF26,tc_HOL_Obool) = sF29,
introduced(function_definition,[new_symbols(definition,[sF29])]) ).
fof(f5722,plain,
c_Orderings_Obot__class_Obot(sF29) = sF30,
introduced(function_definition,[new_symbols(definition,[sF30])]) ).
fof(f5507,plain,
! [X2,X3] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,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,[],[f5438]) ).
fof(f5438,plain,
( ! [X2,X3] :
( ( ~ hBOOL(hAPP(hAPP(v_Q_H,sK1),sK3(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_H,sK1),sK2))
| hBOOL(hAPP(hAPP(v_P,sK1),sK2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f5347,f5437,f5436]) ).
fof(f5436,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,X0),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_H,X0),X1))
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ) )
=> ( ! [X3,X2] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,sK1),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_H,sK1),sK2))
| hBOOL(hAPP(hAPP(v_P,sK1),sK2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5437,plain,
! [X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,sK1),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_H,sK1),sK3(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)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5347,plain,
? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,X0),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_H,X0),X1))
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ) ),
inference(flattening,[],[f5346]) ).
fof(f5346,plain,
? [X0,X1] :
( ! [X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,X0),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_H,X0),X1))
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ) ),
inference(ennf_transformation,[],[f5232]) ).
fof(f5232,plain,
~ ! [X0,X1] :
( ( hBOOL(hAPP(hAPP(v_P_H,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_H,X0),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,[],[f5231]) ).
fof(f5231,negated_conjecture,
~ ! [X27,X28] :
( ( hBOOL(hAPP(hAPP(v_P_H,X27),X28))
| hBOOL(hAPP(hAPP(v_P,X27),X28)) )
=> ? [X307,X308] :
( ! [X38] :
( ! [X39] :
( hBOOL(hAPP(hAPP(X307,X39),X28))
=> hBOOL(hAPP(hAPP(X308,X39),X38)) )
=> ( hBOOL(hAPP(hAPP(v_Q_H,X27),X38))
| hBOOL(hAPP(hAPP(v_Q,X27),X38)) ) )
& 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),X307),v_c),X308)),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] :
( ( hBOOL(hAPP(hAPP(v_P_H,X27),X28))
| hBOOL(hAPP(hAPP(v_P,X27),X28)) )
=> ? [X307,X308] :
( ! [X38] :
( ! [X39] :
( hBOOL(hAPP(hAPP(X307,X39),X28))
=> hBOOL(hAPP(hAPP(X308,X39),X38)) )
=> ( hBOOL(hAPP(hAPP(v_Q_H,X27),X38))
| hBOOL(hAPP(hAPP(v_Q,X27),X38)) ) )
& 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),X307),v_c),X308)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.ZXb4Vtq3ym/Vampire---4.8_21854',conj_2) ).
fof(f5742,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(sF27,hAPP(hAPP(hAPP(sF28,v_P_H),v_c),v_Q_H)),sF30)),
inference(forward_demodulation,[],[f5741,f5719]) ).
fof(f5741,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(sF26),hAPP(hAPP(hAPP(sF28,v_P_H),v_c),v_Q_H)),sF30)),
inference(forward_demodulation,[],[f5740,f5720]) ).
fof(f5740,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(sF26),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),sF30)),
inference(forward_demodulation,[],[f5739,f5722]) ).
fof(f5739,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(sF26),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(sF29))),
inference(forward_demodulation,[],[f5738,f5721]) ).
fof(f5738,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(sF26),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(sF26,tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5503,f5718]) ).
fof(f5503,plain,
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),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5229]) ).
fof(f5229,axiom,
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),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/tmp/tmp.ZXb4Vtq3ym/Vampire---4.8_21854',conj_1) ).
fof(f5811,plain,
( hBOOL(hAPP(sF25,sK3(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,sK1),sK2)) ),
inference(superposition,[],[f5793,f5717]) ).
fof(f5793,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q_H,X0),sK3(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),sK2)) ),
inference(resolution,[],[f5742,f5726]) ).
fof(f5726,plain,
! [X2,X3,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(sF27,hAPP(hAPP(hAPP(sF28,X2),v_c),X3)),sF30))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK2))
| hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3))) ),
inference(definition_folding,[],[f5505,f5722,f5721,f5718,f5720,f5719,f5718]) ).
fof(f5505,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,[],[f5438]) ).
fof(f5806,plain,
~ spl36_1,
inference(avatar_split_clause,[],[f5805,f5744]) ).
fof(f5744,plain,
( spl36_1
<=> hBOOL(sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_1])]) ).
fof(f5805,plain,
~ hBOOL(sF35),
inference(forward_demodulation,[],[f5804,f5730]) ).
fof(f5730,plain,
hAPP(sF34,sK2) = sF35,
introduced(function_definition,[new_symbols(definition,[sF35])]) ).
fof(f5804,plain,
~ hBOOL(hAPP(sF34,sK2)),
inference(forward_demodulation,[],[f5803,f5729]) ).
fof(f5729,plain,
hAPP(v_P,sK1) = sF34,
introduced(function_definition,[new_symbols(definition,[sF34])]) ).
fof(f5803,plain,
~ hBOOL(hAPP(hAPP(v_P,sK1),sK2)),
inference(subsumption_resolution,[],[f5802,f5790]) ).
fof(f5790,plain,
~ hBOOL(hAPP(sF31,sK3(v_P,v_Q))),
inference(resolution,[],[f5737,f5725]) ).
fof(f5725,plain,
! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(sF27,hAPP(hAPP(hAPP(sF28,X2),v_c),X3)),sF30))
| ~ hBOOL(hAPP(sF31,sK3(X2,X3))) ),
inference(definition_folding,[],[f5506,f5722,f5721,f5718,f5720,f5719,f5718,f5724]) ).
fof(f5724,plain,
hAPP(v_Q,sK1) = sF31,
introduced(function_definition,[new_symbols(definition,[sF31])]) ).
fof(f5506,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,[],[f5438]) ).
fof(f5737,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(sF27,hAPP(hAPP(hAPP(sF28,v_P),v_c),v_Q)),sF30)),
inference(forward_demodulation,[],[f5736,f5719]) ).
fof(f5736,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(sF26),hAPP(hAPP(hAPP(sF28,v_P),v_c),v_Q)),sF30)),
inference(forward_demodulation,[],[f5735,f5720]) ).
fof(f5735,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(sF26),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),sF30)),
inference(forward_demodulation,[],[f5734,f5722]) ).
fof(f5734,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(sF26),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(sF29))),
inference(forward_demodulation,[],[f5733,f5721]) ).
fof(f5733,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(sF26),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(sF26,tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5502,f5718]) ).
fof(f5502,plain,
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),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,[],[f5228]) ).
fof(f5228,axiom,
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),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/sandbox/tmp/tmp.ZXb4Vtq3ym/Vampire---4.8_21854',conj_0) ).
fof(f5802,plain,
( hBOOL(hAPP(sF31,sK3(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,sK1),sK2)) ),
inference(superposition,[],[f5789,f5724]) ).
fof(f5789,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),sK3(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),sK2)) ),
inference(resolution,[],[f5737,f5726]) ).
fof(f5751,plain,
( spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f5731,f5748,f5744]) ).
fof(f5731,plain,
( hBOOL(sF33)
| hBOOL(sF35) ),
inference(definition_folding,[],[f5504,f5730,f5729,f5728,f5727]) ).
fof(f5504,plain,
( hBOOL(hAPP(hAPP(v_P_H,sK1),sK2))
| hBOOL(hAPP(hAPP(v_P,sK1),sK2)) ),
inference(cnf_transformation,[],[f5438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW391+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 18:17:33 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_CAX_RFO_SEQ problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ZXb4Vtq3ym/Vampire---4.8_21854
% 1.06/1.31 % (21966)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2990ds/34Mi)
% 1.06/1.31 % (21967)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2990ds/51Mi)
% 1.06/1.31 % (21968)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2990ds/78Mi)
% 1.06/1.31 % (21969)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2990ds/33Mi)
% 1.06/1.31 % (21970)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2990ds/34Mi)
% 1.06/1.31 % (21971)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2990ds/45Mi)
% 1.06/1.31 % (21972)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2990ds/83Mi)
% 1.06/1.31 % (21973)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2990ds/56Mi)
% 1.14/1.32 % (21966)Instruction limit reached!
% 1.14/1.32 % (21966)------------------------------
% 1.14/1.32 % (21966)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.32 % (21966)Termination reason: Unknown
% 1.14/1.32 % (21966)Termination phase: SInE selection
% 1.14/1.32
% 1.14/1.32 % (21966)Memory used [KB]: 6144
% 1.14/1.32 % (21966)Time elapsed: 0.018 s
% 1.14/1.32 % (21966)Instructions burned: 35 (million)
% 1.14/1.32 % (21966)------------------------------
% 1.14/1.32 % (21966)------------------------------
% 1.14/1.32 % (21969)Instruction limit reached!
% 1.14/1.32 % (21969)------------------------------
% 1.14/1.32 % (21969)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.32 % (21969)Termination reason: Unknown
% 1.14/1.32 % (21969)Termination phase: SInE selection
% 1.14/1.32
% 1.14/1.32 % (21969)Memory used [KB]: 6144
% 1.14/1.32 % (21969)Time elapsed: 0.018 s
% 1.14/1.32 % (21969)Instructions burned: 34 (million)
% 1.14/1.32 % (21969)------------------------------
% 1.14/1.32 % (21969)------------------------------
% 1.14/1.32 % (21970)Instruction limit reached!
% 1.14/1.32 % (21970)------------------------------
% 1.14/1.32 % (21970)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.32 % (21970)Termination reason: Unknown
% 1.14/1.32 % (21970)Termination phase: SInE selection
% 1.14/1.32
% 1.14/1.32 % (21970)Memory used [KB]: 6144
% 1.14/1.32 % (21970)Time elapsed: 0.018 s
% 1.14/1.32 % (21970)Instructions burned: 34 (million)
% 1.14/1.32 % (21970)------------------------------
% 1.14/1.32 % (21970)------------------------------
% 1.14/1.33 % (21976)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2990ds/208Mi)
% 1.14/1.33 % (21974)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2990ds/55Mi)
% 1.14/1.33 % (21975)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2990ds/50Mi)
% 1.14/1.33 % (21971)Instruction limit reached!
% 1.14/1.33 % (21971)------------------------------
% 1.14/1.33 % (21971)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.33 % (21971)Termination reason: Unknown
% 1.14/1.33 % (21971)Termination phase: Preprocessing 3
% 1.14/1.33
% 1.14/1.33 % (21971)Memory used [KB]: 6435
% 1.14/1.33 % (21971)Time elapsed: 0.025 s
% 1.14/1.33 % (21971)Instructions burned: 46 (million)
% 1.14/1.33 % (21971)------------------------------
% 1.14/1.33 % (21971)------------------------------
% 1.14/1.33 % (21967)Instruction limit reached!
% 1.14/1.33 % (21967)------------------------------
% 1.14/1.33 % (21967)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.33 % (21967)Termination reason: Unknown
% 1.14/1.33 % (21967)Termination phase: SInE selection
% 1.14/1.33
% 1.14/1.33 % (21967)Memory used [KB]: 6255
% 1.14/1.33 % (21967)Time elapsed: 0.026 s
% 1.14/1.33 % (21967)Instructions burned: 51 (million)
% 1.14/1.33 % (21967)------------------------------
% 1.14/1.33 % (21967)------------------------------
% 1.14/1.34 % (21973)Instruction limit reached!
% 1.14/1.34 % (21973)------------------------------
% 1.14/1.34 % (21973)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.34 % (21973)Termination reason: Unknown
% 1.14/1.34 % (21973)Termination phase: Property scanning
% 1.14/1.34
% 1.14/1.34 % (21973)Memory used [KB]: 6498
% 1.14/1.34 % (21973)Time elapsed: 0.028 s
% 1.14/1.34 % (21973)Instructions burned: 56 (million)
% 1.14/1.34 % (21973)------------------------------
% 1.14/1.34 % (21973)------------------------------
% 1.14/1.34 % (21977)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2990ds/52Mi)
% 1.14/1.34 % (21978)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2990ds/518Mi)
% 1.14/1.34 % (21979)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2990ds/42Mi)
% 1.14/1.35 % (21968)Instruction limit reached!
% 1.14/1.35 % (21968)------------------------------
% 1.14/1.35 % (21968)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.35 % (21968)Termination reason: Unknown
% 1.14/1.35 % (21968)Termination phase: Saturation
% 1.14/1.35
% 1.14/1.35 % (21968)Memory used [KB]: 6807
% 1.14/1.35 % (21968)Time elapsed: 0.039 s
% 1.14/1.35 % (21968)Instructions burned: 79 (million)
% 1.14/1.35 % (21968)------------------------------
% 1.14/1.35 % (21968)------------------------------
% 1.14/1.35 % (21972)Instruction limit reached!
% 1.14/1.35 % (21972)------------------------------
% 1.14/1.35 % (21972)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.35 % (21972)Termination reason: Unknown
% 1.14/1.35 % (21972)Termination phase: SInE selection
% 1.14/1.35
% 1.14/1.35 % (21972)Memory used [KB]: 6160
% 1.14/1.35 % (21972)Time elapsed: 0.041 s
% 1.14/1.35 % (21972)Instructions burned: 83 (million)
% 1.14/1.35 % (21972)------------------------------
% 1.14/1.35 % (21972)------------------------------
% 1.14/1.35 % (21980)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2990ds/243Mi)
% 1.14/1.35 % (21975)Instruction limit reached!
% 1.14/1.35 % (21975)------------------------------
% 1.14/1.35 % (21975)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.35 % (21975)Termination reason: Unknown
% 1.14/1.35 % (21975)Termination phase: SInE selection
% 1.14/1.35
% 1.14/1.35 % (21975)Memory used [KB]: 6224
% 1.14/1.35 % (21975)Time elapsed: 0.024 s
% 1.14/1.35 % (21975)Instructions burned: 50 (million)
% 1.14/1.35 % (21975)------------------------------
% 1.14/1.35 % (21975)------------------------------
% 1.14/1.35 % (21981)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2989ds/117Mi)
% 1.14/1.35 % (21982)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2989ds/143Mi)
% 1.14/1.36 % (21974)Instruction limit reached!
% 1.14/1.36 % (21974)------------------------------
% 1.14/1.36 % (21974)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.36 % (21974)Termination reason: Unknown
% 1.14/1.36 % (21974)Termination phase: Preprocessing 1
% 1.14/1.36
% 1.14/1.36 % (21974)Memory used [KB]: 6792
% 1.14/1.36 % (21974)Time elapsed: 0.030 s
% 1.14/1.36 % (21974)Instructions burned: 57 (million)
% 1.14/1.36 % (21974)------------------------------
% 1.14/1.36 % (21974)------------------------------
% 1.14/1.36 % (21979)Instruction limit reached!
% 1.14/1.36 % (21979)------------------------------
% 1.14/1.36 % (21979)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.36 % (21979)Termination reason: Unknown
% 1.14/1.36 % (21979)Termination phase: Preprocessing 1
% 1.14/1.36
% 1.14/1.36 % (21979)Memory used [KB]: 7634
% 1.14/1.36 % (21979)Time elapsed: 0.020 s
% 1.14/1.36 % (21979)Instructions burned: 42 (million)
% 1.14/1.36 % (21979)------------------------------
% 1.14/1.36 % (21979)------------------------------
% 1.14/1.36 % (21983)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2989ds/93Mi)
% 1.14/1.36 % (21984)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2989ds/62Mi)
% 1.14/1.36 % (21977)Instruction limit reached!
% 1.14/1.36 % (21977)------------------------------
% 1.14/1.36 % (21977)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.36 % (21977)Termination reason: Unknown
% 1.14/1.36 % (21977)Termination phase: Property scanning
% 1.14/1.36
% 1.14/1.36 % (21977)Memory used [KB]: 6669
% 1.14/1.36 % (21977)Time elapsed: 0.028 s
% 1.14/1.36 % (21977)Instructions burned: 52 (million)
% 1.14/1.36 % (21977)------------------------------
% 1.14/1.36 % (21977)------------------------------
% 1.14/1.37 % (21985)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2989ds/32Mi)
% 1.14/1.37 % (21976)First to succeed.
% 1.14/1.37 % (21976)Refutation found. Thanks to Tanya!
% 1.14/1.37 % SZS status Theorem for Vampire---4
% 1.14/1.37 % SZS output start Proof for Vampire---4
% See solution above
% 1.14/1.37 % (21976)------------------------------
% 1.14/1.37 % (21976)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.37 % (21976)Termination reason: Refutation
% 1.14/1.37
% 1.14/1.37 % (21976)Memory used [KB]: 6583
% 1.14/1.37 % (21976)Time elapsed: 0.044 s
% 1.14/1.37 % (21976)Instructions burned: 88 (million)
% 1.14/1.37 % (21976)------------------------------
% 1.14/1.37 % (21976)------------------------------
% 1.14/1.37 % (21962)Success in time 1.043 s
% 1.14/1.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------