TSTP Solution File: SWW336+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW336+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 : 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 : Sun May 5 11:17:05 EDT 2024
% Result : Theorem 1.18s 1.14s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 7 unt; 0 def)
% Number of atoms : 176 ( 15 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 180 ( 63 ~; 59 |; 27 &)
% ( 6 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 104 ( 90 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6586,plain,
$false,
inference(avatar_sat_refutation,[],[f6433,f6553,f6584]) ).
fof(f6584,plain,
~ spl27_4,
inference(avatar_contradiction_clause,[],[f6583]) ).
fof(f6583,plain,
( $false
| ~ spl27_4 ),
inference(subsumption_resolution,[],[f6582,f5893]) ).
fof(f5893,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4),
inference(cnf_transformation,[],[f5739]) ).
fof(f5739,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f5736,f5738,f5737]) ).
fof(f5737,plain,
( ? [X0] :
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) )
=> ( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5738,plain,
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) )
=> ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) ) ),
introduced(choice_axiom,[]) ).
fof(f5736,plain,
? [X0] :
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) )
& ! [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(rectify,[],[f5526]) ).
fof(f5526,plain,
? [X0] :
( ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) )
& ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5232]) ).
fof(f5232,plain,
~ ! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5229]) ).
fof(f5229,negated_conjecture,
~ ! [X9] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X2) ) ),
inference(negated_conjecture,[],[f5228]) ).
fof(f5228,conjecture,
! [X9] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.hQeWQDyOl3/Vampire---4.8_21819',conj_4) ).
fof(f6582,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
| ~ spl27_4 ),
inference(duplicate_literal_removal,[],[f6580]) ).
fof(f6580,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
| ~ spl27_4 ),
inference(resolution,[],[f6572,f6564]) ).
fof(f6564,plain,
( ! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK4) )
| ~ spl27_4 ),
inference(resolution,[],[f6427,f5890]) ).
fof(f5890,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0)) ),
inference(cnf_transformation,[],[f5735]) ).
fof(f5735,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
| ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2(X0)),v_G)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f5733,f5734]) ).
fof(f5734,plain,
! [X0] :
( ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) )
=> ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2(X0)),v_G)) ) ),
introduced(choice_axiom,[]) ).
fof(f5733,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
| ? [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(rectify,[],[f5525]) ).
fof(f5525,plain,
! [X0] :
( ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) )
| ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5231]) ).
fof(f5231,plain,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5227]) ).
fof(f5227,axiom,
! [X9] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.hQeWQDyOl3/Vampire---4.8_21819',conj_3) ).
fof(f6427,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),v_ts))
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f6425]) ).
fof(f6425,plain,
( spl27_4
<=> hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),v_ts)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f6572,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK2(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK4) )
| ~ spl27_4 ),
inference(resolution,[],[f6462,f6427]) ).
fof(f6462,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X0)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK2(X1)) ),
inference(resolution,[],[f5889,f5891]) ).
fof(f5891,plain,
! [X2] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,X2) ),
inference(cnf_transformation,[],[f5739]) ).
fof(f5889,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2(X0)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ),
inference(cnf_transformation,[],[f5735]) ).
fof(f6553,plain,
~ spl27_5,
inference(avatar_contradiction_clause,[],[f6552]) ).
fof(f6552,plain,
( $false
| ~ spl27_5 ),
inference(subsumption_resolution,[],[f6551,f6511]) ).
fof(f6511,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,v_t)
| ~ spl27_5 ),
inference(superposition,[],[f5893,f6431]) ).
fof(f6431,plain,
( v_t = sK4
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f6429]) ).
fof(f6429,plain,
( spl27_5
<=> v_t = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f6551,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,v_t),
inference(duplicate_literal_removal,[],[f6550]) ).
fof(f6550,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,v_t)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,v_t) ),
inference(resolution,[],[f6537,f6473]) ).
fof(f6473,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,v_t) ),
inference(resolution,[],[f5887,f6330]) ).
fof(f6330,plain,
! [X2,X1] : hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))),
inference(equality_resolution,[],[f5990]) ).
fof(f5990,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))))
| X0 != X1 ),
inference(cnf_transformation,[],[f5778]) ).
fof(f5778,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))))
| X0 != X1 )
& ( X0 = X1
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))) ) ),
inference(nnf_transformation,[],[f5286]) ).
fof(f5286,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))))
<=> X0 = X1 ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X5,X14,X4] :
( hBOOL(hAPP(hAPP(c_member(X4),X14),hAPP(hAPP(c_Set_Oinsert(X4),X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool)))))
<=> X5 = X14 ),
file('/export/starexec/sandbox/tmp/tmp.hQeWQDyOl3/Vampire---4.8_21819',fact_singleton__iff) ).
fof(f5887,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0)) ),
inference(cnf_transformation,[],[f5732]) ).
fof(f5732,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )
| ( ~ 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,[sK1])],[f5730,f5731]) ).
fof(f5731,plain,
! [X0] :
( ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),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(f5730,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )
| ? [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(rectify,[],[f5524]) ).
fof(f5524,plain,
! [X0] :
( ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )
| ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5230]) ).
fof(f5230,plain,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5225]) ).
fof(f5225,axiom,
! [X9] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.hQeWQDyOl3/Vampire---4.8_21819',conj_1) ).
fof(f6537,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK1(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,v_t) ),
inference(resolution,[],[f6488,f5891]) ).
fof(f6488,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,v_t) ),
inference(resolution,[],[f5886,f6330]) ).
fof(f5886,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G)) ),
inference(cnf_transformation,[],[f5732]) ).
fof(f6433,plain,
( spl27_4
| spl27_5 ),
inference(avatar_split_clause,[],[f6420,f6429,f6425]) ).
fof(f6420,plain,
( v_t = sK4
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),v_ts)) ),
inference(resolution,[],[f5892,f5964]) ).
fof(f5964,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ),
inference(cnf_transformation,[],[f5772]) ).
fof(f5772,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
| ( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
& X1 != X2 ) )
& ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0))) ) ),
inference(flattening,[],[f5771]) ).
fof(f5771,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
| ( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
& X1 != X2 ) )
& ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0))) ) ),
inference(nnf_transformation,[],[f5273]) ).
fof(f5273,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
<=> ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| X1 = X2 ) ),
inference(rectify,[],[f126]) ).
fof(f126,axiom,
! [X11,X14,X5,X4] :
( hBOOL(hAPP(hAPP(c_member(X4),X5),hAPP(hAPP(c_Set_Oinsert(X4),X14),X11)))
<=> ( hBOOL(hAPP(hAPP(c_member(X4),X5),X11))
| X5 = X14 ) ),
file('/export/starexec/sandbox/tmp/tmp.hQeWQDyOl3/Vampire---4.8_21819',fact_insert__iff) ).
fof(f5892,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))),
inference(cnf_transformation,[],[f5739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWW336+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.15 % 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
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:25:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.14/0.36 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.hQeWQDyOl3/Vampire---4.8_21819
% 0.81/1.05 % (21927)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 (2993ds/34Mi)
% 0.81/1.05 % (21930)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2993ds/33Mi)
% 0.81/1.05 % (21929)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2993ds/78Mi)
% 0.81/1.05 % (21932)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/45Mi)
% 0.81/1.05 % (21928)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 (2993ds/51Mi)
% 0.81/1.05 % (21931)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 (2993ds/34Mi)
% 0.81/1.05 % (21933)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 (2993ds/83Mi)
% 0.81/1.05 % (21934)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 (2993ds/56Mi)
% 0.81/1.06 % (21927)Instruction limit reached!
% 0.81/1.06 % (21927)------------------------------
% 0.81/1.06 % (21927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/1.06 % (21927)Termination reason: Unknown
% 0.81/1.06 % (21927)Termination phase: SInE selection
% 0.81/1.06
% 0.81/1.06 % (21927)Memory used [KB]: 6142
% 0.81/1.06 % (21927)Time elapsed: 0.012 s
% 0.81/1.06 % (21927)Instructions burned: 35 (million)
% 0.81/1.06 % (21927)------------------------------
% 0.81/1.06 % (21927)------------------------------
% 0.81/1.06 % (21935)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 (2993ds/55Mi)
% 0.87/1.06 % (21930)Instruction limit reached!
% 0.87/1.06 % (21930)------------------------------
% 0.87/1.06 % (21930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.06 % (21930)Termination reason: Unknown
% 0.87/1.06 % (21930)Termination phase: SInE selection
% 0.87/1.06
% 0.87/1.06 % (21930)Memory used [KB]: 6142
% 0.87/1.06 % (21930)Time elapsed: 0.018 s
% 0.87/1.06 % (21931)Instruction limit reached!
% 0.87/1.06 % (21931)------------------------------
% 0.87/1.06 % (21931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.06 % (21931)Termination reason: Unknown
% 0.87/1.06 % (21931)Termination phase: SInE selection
% 0.87/1.06
% 0.87/1.06 % (21931)Memory used [KB]: 6142
% 0.87/1.06 % (21931)Time elapsed: 0.018 s
% 0.87/1.06 % (21931)Instructions burned: 34 (million)
% 0.87/1.06 % (21931)------------------------------
% 0.87/1.06 % (21931)------------------------------
% 0.87/1.06 % (21930)Instructions burned: 34 (million)
% 0.87/1.06 % (21930)------------------------------
% 0.87/1.06 % (21930)------------------------------
% 0.87/1.07 % (21937)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 (2993ds/208Mi)
% 0.87/1.07 % (21932)Instruction limit reached!
% 0.87/1.07 % (21932)------------------------------
% 0.87/1.07 % (21932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.07 % (21932)Termination reason: Unknown
% 0.87/1.07 % (21932)Termination phase: Preprocessing 3
% 0.87/1.07
% 0.87/1.07 % (21932)Memory used [KB]: 6428
% 0.87/1.07 % (21932)Time elapsed: 0.024 s
% 0.87/1.07 % (21932)Instructions burned: 45 (million)
% 0.87/1.07 % (21932)------------------------------
% 0.87/1.07 % (21932)------------------------------
% 0.87/1.07 % (21928)Instruction limit reached!
% 0.87/1.07 % (21928)------------------------------
% 0.87/1.07 % (21928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.07 % (21928)Termination reason: Unknown
% 0.87/1.07 % (21928)Termination phase: SInE selection
% 0.87/1.07
% 0.87/1.07 % (21928)Memory used [KB]: 6206
% 0.87/1.07 % (21928)Time elapsed: 0.025 s
% 0.87/1.07 % (21928)Instructions burned: 51 (million)
% 0.87/1.07 % (21928)------------------------------
% 0.87/1.07 % (21928)------------------------------
% 0.87/1.07 % (21938)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 (2993ds/52Mi)
% 0.87/1.07 % (21939)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 (2993ds/518Mi)
% 1.02/1.08 % (21934)Instruction limit reached!
% 1.02/1.08 % (21934)------------------------------
% 1.02/1.08 % (21934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.08 % (21934)Termination reason: Unknown
% 1.02/1.08 % (21934)Termination phase: Property scanning
% 1.02/1.08
% 1.02/1.08 % (21934)Memory used [KB]: 6496
% 1.02/1.08 % (21934)Time elapsed: 0.030 s
% 1.02/1.08 % (21934)Instructions burned: 58 (million)
% 1.02/1.08 % (21934)------------------------------
% 1.02/1.08 % (21934)------------------------------
% 1.02/1.08 % (21936)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 (2993ds/50Mi)
% 1.02/1.08 % (21929)Instruction limit reached!
% 1.02/1.08 % (21929)------------------------------
% 1.02/1.08 % (21929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.08 % (21940)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 (2993ds/42Mi)
% 1.02/1.08 % (21929)Termination reason: Unknown
% 1.02/1.08 % (21929)Termination phase: Saturation
% 1.02/1.08
% 1.02/1.08 % (21929)Memory used [KB]: 6851
% 1.02/1.08 % (21929)Time elapsed: 0.037 s
% 1.02/1.08 % (21929)Instructions burned: 78 (million)
% 1.02/1.08 % (21929)------------------------------
% 1.02/1.08 % (21929)------------------------------
% 1.02/1.09 % (21941)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 (2992ds/243Mi)
% 1.02/1.09 % (21933)Instruction limit reached!
% 1.02/1.09 % (21933)------------------------------
% 1.02/1.09 % (21933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.09 % (21933)Termination reason: Unknown
% 1.02/1.09 % (21933)Termination phase: SInE selection
% 1.02/1.09
% 1.02/1.09 % (21933)Memory used [KB]: 6158
% 1.02/1.09 % (21933)Time elapsed: 0.042 s
% 1.02/1.09 % (21933)Instructions burned: 84 (million)
% 1.02/1.09 % (21933)------------------------------
% 1.02/1.09 % (21933)------------------------------
% 1.02/1.09 % (21936)Instruction limit reached!
% 1.02/1.09 % (21936)------------------------------
% 1.02/1.09 % (21936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.09 % (21936)Termination reason: Unknown
% 1.02/1.09 % (21936)Termination phase: SInE selection
% 1.02/1.09
% 1.02/1.09 % (21936)Memory used [KB]: 6223
% 1.02/1.09 % (21936)Time elapsed: 0.016 s
% 1.02/1.09 % (21936)Instructions burned: 51 (million)
% 1.02/1.09 % (21936)------------------------------
% 1.02/1.09 % (21936)------------------------------
% 1.02/1.09 % (21935)Instruction limit reached!
% 1.02/1.09 % (21935)------------------------------
% 1.02/1.09 % (21935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.09 % (21935)Termination reason: Unknown
% 1.02/1.09 % (21935)Termination phase: Preprocessing 1
% 1.02/1.09
% 1.02/1.09 % (21935)Memory used [KB]: 6838
% 1.02/1.09 % (21935)Time elapsed: 0.031 s
% 1.02/1.09 % (21935)Instructions burned: 56 (million)
% 1.02/1.09 % (21935)------------------------------
% 1.02/1.09 % (21935)------------------------------
% 1.02/1.09 % (21943)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 (2992ds/143Mi)
% 1.02/1.09 % (21942)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 (2992ds/117Mi)
% 1.02/1.10 % (21944)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 (2992ds/93Mi)
% 1.02/1.10 % (21938)Instruction limit reached!
% 1.02/1.10 % (21938)------------------------------
% 1.02/1.10 % (21938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.10 % (21938)Termination reason: Unknown
% 1.02/1.10 % (21938)Termination phase: Preprocessing 1
% 1.02/1.10
% 1.02/1.10 % (21938)Memory used [KB]: 6411
% 1.02/1.10 % (21938)Time elapsed: 0.029 s
% 1.02/1.10 % (21938)Instructions burned: 53 (million)
% 1.02/1.10 % (21938)------------------------------
% 1.02/1.10 % (21938)------------------------------
% 1.02/1.10 % (21940)Instruction limit reached!
% 1.02/1.10 % (21940)------------------------------
% 1.02/1.10 % (21940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.10 % (21940)Termination reason: Unknown
% 1.02/1.10 % (21940)Termination phase: Preprocessing 1
% 1.02/1.10
% 1.02/1.10 % (21940)Memory used [KB]: 7705
% 1.02/1.10 % (21940)Time elapsed: 0.023 s
% 1.02/1.10 % (21940)Instructions burned: 43 (million)
% 1.02/1.10 % (21940)------------------------------
% 1.02/1.10 % (21940)------------------------------
% 1.02/1.11 % (21945)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 (2992ds/62Mi)
% 1.02/1.11 % (21946)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 (2992ds/32Mi)
% 1.18/1.12 % (21946)Instruction limit reached!
% 1.18/1.12 % (21946)------------------------------
% 1.18/1.12 % (21946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.12 % (21946)Termination reason: Unknown
% 1.18/1.12 % (21946)Termination phase: SInE selection
% 1.18/1.12
% 1.18/1.12 % (21946)Memory used [KB]: 6287
% 1.18/1.12 % (21946)Time elapsed: 0.018 s
% 1.18/1.12 % (21946)Instructions burned: 32 (million)
% 1.18/1.12 % (21946)------------------------------
% 1.18/1.12 % (21946)------------------------------
% 1.18/1.13 % (21947)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2992ds/1919Mi)
% 1.18/1.13 % (21939)First to succeed.
% 1.18/1.14 % (21945)Instruction limit reached!
% 1.18/1.14 % (21945)------------------------------
% 1.18/1.14 % (21945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.14 % (21945)Termination reason: Unknown
% 1.18/1.14 % (21945)Termination phase: Preprocessing 1
% 1.18/1.14
% 1.18/1.14 % (21945)Memory used [KB]: 8944
% 1.18/1.14 % (21945)Time elapsed: 0.031 s
% 1.18/1.14 % (21945)Instructions burned: 62 (million)
% 1.18/1.14 % (21945)------------------------------
% 1.18/1.14 % (21945)------------------------------
% 1.18/1.14 % (21939)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21926"
% 1.18/1.14 % (21939)Refutation found. Thanks to Tanya!
% 1.18/1.14 % SZS status Theorem for Vampire---4
% 1.18/1.14 % SZS output start Proof for Vampire---4
% See solution above
% 1.18/1.14 % (21939)------------------------------
% 1.18/1.14 % (21939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.14 % (21939)Termination reason: Refutation
% 1.18/1.14
% 1.18/1.14 % (21939)Memory used [KB]: 7024
% 1.18/1.14 % (21939)Time elapsed: 0.064 s
% 1.18/1.14 % (21939)Instructions burned: 129 (million)
% 1.18/1.14 % (21926)Success in time 0.757 s
% 1.18/1.14 % Vampire---4.8 exiting
%------------------------------------------------------------------------------