TSTP Solution File: SWW333+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW333+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n027.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 18:32:05 EDT 2024
% Result : Theorem 0.53s 0.79s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 58 ( 8 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 61 ~; 59 |; 15 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 62 ( 54 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6372,plain,
$false,
inference(avatar_sat_refutation,[],[f5898,f5904,f5910,f5912,f5950,f6371]) ).
fof(f6371,plain,
( spl16_11
| ~ spl16_13 ),
inference(avatar_contradiction_clause,[],[f6370]) ).
fof(f6370,plain,
( $false
| spl16_11
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f6362,f5909]) ).
fof(f5909,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(v_na)),v_Procs))
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f5907]) ).
fof(f5907,plain,
( spl16_13
<=> hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(v_na)),v_Procs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f6362,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(v_na)),v_Procs))
| spl16_11 ),
inference(resolution,[],[f5897,f5477]) ).
fof(f5477,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Com_Ocom_OBODY,X0)),v_Q(X0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)) ),
inference(cnf_transformation,[],[f5328]) ).
fof(f5328,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Com_Ocom_OBODY,X0)),v_Q(X0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)) ),
inference(ennf_transformation,[],[f5212]) ).
fof(f5212,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Com_Ocom_OBODY,X0)),v_Q(X0))) ),
inference(rectify,[],[f5208]) ).
fof(f5208,axiom,
! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X2)),hAPP(c_Com_Ocom_OBODY,X2)),v_Q(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5897,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(v_na))),hAPP(c_Com_Ocom_OBODY,sK0(v_na))),v_Q(sK0(v_na))))
| spl16_11 ),
inference(avatar_component_clause,[],[f5895]) ).
fof(f5895,plain,
( spl16_11
<=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(v_na))),hAPP(c_Com_Ocom_OBODY,sK0(v_na))),v_Q(sK0(v_na)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f5950,plain,
( ~ spl16_10
| spl16_12 ),
inference(avatar_contradiction_clause,[],[f5949]) ).
fof(f5949,plain,
( $false
| ~ spl16_10
| spl16_12 ),
inference(subsumption_resolution,[],[f5945,f5893]) ).
fof(f5893,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(v_na)),v_G))
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f5891]) ).
fof(f5891,plain,
( spl16_10
<=> hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(v_na)),v_G)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f5945,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(v_na)),v_G))
| spl16_12 ),
inference(resolution,[],[f5903,f5478]) ).
fof(f5478,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X0)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
inference(cnf_transformation,[],[f5329]) ).
fof(f5329,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X0)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
inference(ennf_transformation,[],[f5213]) ).
fof(f5213,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X0) ),
inference(rectify,[],[f5207]) ).
fof(f5207,axiom,
! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5903,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK1(v_na))
| spl16_12 ),
inference(avatar_component_clause,[],[f5901]) ).
fof(f5901,plain,
( spl16_12
<=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK1(v_na)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f5912,plain,
( ~ spl16_12
| spl16_13 ),
inference(avatar_split_clause,[],[f5911,f5907,f5901]) ).
fof(f5911,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(v_na)),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK1(v_na)) ),
inference(subsumption_resolution,[],[f5881,f5476]) ).
fof(f5476,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
inference(cnf_transformation,[],[f5206]) ).
fof(f5206,axiom,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5881,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs))
| hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(v_na)),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK1(v_na)) ),
inference(resolution,[],[f5817,f5480]) ).
fof(f5480,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs))
| hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(X0)),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0)) ),
inference(cnf_transformation,[],[f5404]) ).
fof(f5404,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) )
| ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(X0))),hAPP(c_Com_Ocom_OBODY,sK0(X0))),v_Q(sK0(X0))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(X0)),v_Procs)) )
| ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5401,f5403,f5402]) ).
fof(f5402,plain,
! [X0] :
( ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X2)),hAPP(c_Com_Ocom_OBODY,X2)),v_Q(X2)))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_Procs)) )
=> ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(X0))),hAPP(c_Com_Ocom_OBODY,sK0(X0))),v_Q(sK0(X0))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(X0)),v_Procs)) ) ),
introduced(choice_axiom,[]) ).
fof(f5403,plain,
! [X0] :
( ? [X3] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X3)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G)) )
=> ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G)) ) ),
introduced(choice_axiom,[]) ).
fof(f5401,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) )
| ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X2)),hAPP(c_Com_Ocom_OBODY,X2)),v_Q(X2)))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_Procs)) )
| ? [X3] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X3)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G)) ) ),
inference(rectify,[],[f5331]) ).
fof(f5331,plain,
! [X0] :
( ! [X3] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),v_Q(X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs)) )
| ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Com_Ocom_OBODY,X1)),v_Q(X1)))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) )
| ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(flattening,[],[f5330]) ).
fof(f5330,plain,
! [X0] :
( ! [X3] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),v_Q(X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs)) )
| ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Com_Ocom_OBODY,X1)),v_Q(X1)))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) )
| ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(ennf_transformation,[],[f5214]) ).
fof(f5214,plain,
! [X0] :
( ( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Com_Ocom_OBODY,X1)),v_Q(X1))) )
& ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),v_Q(X3))) ) ),
inference(rectify,[],[f5205]) ).
fof(f5205,axiom,
! [X50] :
( ( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X50,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X2)),hAPP(c_Com_Ocom_OBODY,X2)),v_Q(X2))) )
& ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X50,X2) ) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X50,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X2)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),v_Q(X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5817,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_x))),v_Q(v_x))),
inference(resolution,[],[f5475,f5483]) ).
fof(f5483,plain,
! [X2,X3,X0,X1,X4] :
( c_Hoare__Mirabelle_Otriple__valid(X4,hAPP(c_Nat_OSuc,X3),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Com_Ocom_OBODY,X1)),X0))
| ~ c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X0)) ),
inference(cnf_transformation,[],[f5405]) ).
fof(f5405,plain,
! [X0,X1,X2,X3,X4] :
( ( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X0))
| ~ c_Hoare__Mirabelle_Otriple__valid(X4,hAPP(c_Nat_OSuc,X3),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Com_Ocom_OBODY,X1)),X0)) )
& ( c_Hoare__Mirabelle_Otriple__valid(X4,hAPP(c_Nat_OSuc,X3),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Com_Ocom_OBODY,X1)),X0))
| ~ c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X0)) ) ),
inference(nnf_transformation,[],[f5215]) ).
fof(f5215,plain,
! [X0,X1,X2,X3,X4] :
( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X0))
<=> c_Hoare__Mirabelle_Otriple__valid(X4,hAPP(c_Nat_OSuc,X3),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Com_Ocom_OBODY,X1)),X0)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4,X5,X6,X7] :
( c_Hoare__Mirabelle_Otriple__valid(X7,X6,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X7),X5),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X3))
<=> c_Hoare__Mirabelle_Otriple__valid(X7,hAPP(c_Nat_OSuc,X6),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X7),X5),hAPP(c_Com_Ocom_OBODY,X4)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5475,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(cnf_transformation,[],[f5211]) ).
fof(f5211,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(flattening,[],[f5210]) ).
fof(f5210,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(negated_conjecture,[],[f5209]) ).
fof(f5209,conjecture,
c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5910,plain,
( spl16_10
| spl16_13 ),
inference(avatar_split_clause,[],[f5905,f5907,f5891]) ).
fof(f5905,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(v_na)),v_Procs))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(v_na)),v_G)) ),
inference(subsumption_resolution,[],[f5880,f5476]) ).
fof(f5880,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs))
| hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(v_na)),v_Procs))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(v_na)),v_G)) ),
inference(resolution,[],[f5817,f5479]) ).
fof(f5479,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs))
| hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0(X0)),v_Procs))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G)) ),
inference(cnf_transformation,[],[f5404]) ).
fof(f5904,plain,
( ~ spl16_12
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f5899,f5895,f5901]) ).
fof(f5899,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(v_na))),hAPP(c_Com_Ocom_OBODY,sK0(v_na))),v_Q(sK0(v_na))))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK1(v_na)) ),
inference(subsumption_resolution,[],[f5879,f5476]) ).
fof(f5879,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(v_na))),hAPP(c_Com_Ocom_OBODY,sK0(v_na))),v_Q(sK0(v_na))))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK1(v_na)) ),
inference(resolution,[],[f5817,f5482]) ).
fof(f5482,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(X0))),hAPP(c_Com_Ocom_OBODY,sK0(X0))),v_Q(sK0(X0))))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0)) ),
inference(cnf_transformation,[],[f5404]) ).
fof(f5898,plain,
( spl16_10
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f5889,f5895,f5891]) ).
fof(f5889,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(v_na))),hAPP(c_Com_Ocom_OBODY,sK0(v_na))),v_Q(sK0(v_na))))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(v_na)),v_G)) ),
inference(subsumption_resolution,[],[f5878,f5476]) ).
fof(f5878,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(v_na))),hAPP(c_Com_Ocom_OBODY,sK0(v_na))),v_Q(sK0(v_na))))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(v_na)),v_G)) ),
inference(resolution,[],[f5817,f5481]) ).
fof(f5481,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK0(X0))),hAPP(c_Com_Ocom_OBODY,sK0(X0))),v_Q(sK0(X0))))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G)) ),
inference(cnf_transformation,[],[f5404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW333+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 09:46:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.37 This is a FOF_CAX_RFO_SEQ problem
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.71 % (15175)Running in auto input_syntax mode. Trying TPTP
% 0.53/0.71 % (15182)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)
% 0.53/0.73 % (15175)Running in auto input_syntax mode. Trying TPTP
% 0.53/0.73 % (15177)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)
% 0.53/0.73 % (15175)Running in auto input_syntax mode. Trying TPTP
% 0.53/0.73 % (15176)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.53/0.73 % (15175)Running in auto input_syntax mode. Trying TPTP
% 0.53/0.73 % (15180)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.53/0.73 % (15175)Running in auto input_syntax mode. Trying TPTP
% 0.53/0.73 % (15181)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.53/0.73 % (15175)Running in auto input_syntax mode. Trying TPTP
% 0.53/0.73 % (15179)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.53/0.75 % (15175)Running in auto input_syntax mode. Trying TPTP
% 0.53/0.75 % (15178)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)
% 0.53/0.79 % (15181)First to succeed.
% 0.53/0.79 % (15181)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15175"
% 0.53/0.79 % (15182)Instruction limit reached!
% 0.53/0.79 % (15182)------------------------------
% 0.53/0.79 % (15182)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.53/0.79 % (15182)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.53/0.79 % (15182)Termination reason: Time limit
% 0.53/0.79 % (15182)Termination phase: Saturation
% 0.53/0.79
% 0.53/0.79 % (15182)Memory used [KB]: 9408
% 0.53/0.79 % (15182)Time elapsed: 0.082 s
% 0.53/0.79 % (15182)Instructions burned: 283 (million)
% 0.53/0.79 % (15175)Running in auto input_syntax mode. Trying TPTP
% 0.53/0.79 % (15181)Refutation found. Thanks to Tanya!
% 0.53/0.79 % SZS status Theorem for theBenchmark
% 0.53/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.79 % (15181)------------------------------
% 0.53/0.79 % (15181)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.53/0.79 % (15181)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.53/0.79 % (15181)Termination reason: Refutation
% 0.53/0.79
% 0.53/0.79 % (15181)Memory used [KB]: 6491
% 0.53/0.79 % (15181)Time elapsed: 0.057 s
% 0.53/0.79 % (15181)Instructions burned: 85 (million)
% 0.53/0.79 % (15181)------------------------------
% 0.53/0.79 % (15181)------------------------------
% 0.53/0.79 % (15175)Success in time 0.132 s
%------------------------------------------------------------------------------