%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV109+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:09 PM UTC 2026
% Result : Theorem 0.83s 0.97s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 98 ( 8 unt; 4 def)
% Number of atoms : 722 ( 90 equ)
% Maximal formula atoms : 56 ( 7 avg)
% Number of connectives : 937 ( 313 ~; 353 |; 245 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-3 aty)
% Number of variables : 146 ( 98 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv47)
& leq(pv5,minus(n999,n1))
& leq(pv47,minus(n6,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,minus(n3,n1))
& leq(X3,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,minus(n6,n1))
& leq(X5,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,minus(n6,n1))
& leq(X7,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,minus(n6,n1)) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(n0,X17)
& leq(X16,minus(n6,n1))
& leq(X17,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X16,X17) = a_select3(pminus_ds1_filter,X17,X16) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,minus(n6,n1)) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X18,X19) = a_select3(id_ds1_filter,X19,X18) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0002) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv5)
& leq(n0,pv47)
& leq(pv5,minus(n999,n1))
& leq(pv47,minus(n6,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,minus(n3,n1))
& leq(X3,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,minus(n6,n1))
& leq(X5,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,minus(n6,n1))
& leq(X7,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,minus(n6,n1)) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(n0,X17)
& leq(X16,minus(n6,n1))
& leq(X17,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X16,X17) = a_select3(pminus_ds1_filter,X17,X16) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,minus(n6,n1)) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X18,X19) = a_select3(id_ds1_filter,X19,X18) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f104,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
| ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
| ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ? [X16,X17] :
( a_select3(pminus_ds1_filter,X16,X17) != a_select3(pminus_ds1_filter,X17,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,minus(n6,n1))
& leq(X17,minus(n6,n1)) )
| ? [X18] :
( ? [X19] :
( a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18)
& leq(n0,X19)
& leq(X19,minus(n6,n1)) )
& leq(n0,X18)
& leq(X18,minus(n6,n1)) ) )
& leq(n0,pv5)
& leq(n0,pv47)
& leq(pv5,minus(n999,n1))
& leq(pv47,minus(n6,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8] :
( ! [X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1)) )
| ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f105,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
| ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
| ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ? [X16,X17] :
( a_select3(pminus_ds1_filter,X16,X17) != a_select3(pminus_ds1_filter,X17,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,minus(n6,n1))
& leq(X17,minus(n6,n1)) )
| ? [X18] :
( ? [X19] :
( a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18)
& leq(n0,X19)
& leq(X19,minus(n6,n1)) )
& leq(n0,X18)
& leq(X18,minus(n6,n1)) ) )
& leq(n0,pv5)
& leq(n0,pv47)
& leq(pv5,minus(n999,n1))
& leq(pv47,minus(n6,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8] :
( ! [X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1)) )
| ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1)) ) ),
inference(flattening,[],[f104]) ).
fof(f130,definition,
( ? [X18] :
( ? [X19] :
( a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18)
& leq(n0,X19)
& leq(X19,minus(n6,n1)) )
& leq(n0,X18)
& leq(X18,minus(n6,n1)) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f131,definition,
( ? [X16,X17] :
( a_select3(pminus_ds1_filter,X16,X17) != a_select3(pminus_ds1_filter,X17,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,minus(n6,n1))
& leq(X17,minus(n6,n1)) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f132,definition,
( ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f133,definition,
( ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f134,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
| sP3
| sP2
| sP1
| sP0 )
& leq(n0,pv5)
& leq(n0,pv47)
& leq(pv5,minus(n999,n1))
& leq(pv47,minus(n6,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8] :
( ! [X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1)) )
| ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1)) ) ),
inference(definition_folding,[],[f105,f133,f132,f131,f130]) ).
fof(f135,plain,
( ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f133]) ).
fof(f136,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1)) )
| ~ sP3 ),
inference(rectify,[],[f135]) ).
fof(f137,plain,
( ( a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4)
& leq(n0,sK4)
& leq(n0,sK5)
& leq(sK4,minus(n3,n1))
& leq(sK5,minus(n3,n1)) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f136]) ).
fof(f138,plain,
( ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f132]) ).
fof(f139,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| ~ sP2 ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
( ( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
& leq(n0,sK6)
& leq(n0,sK7)
& leq(sK6,minus(n6,n1))
& leq(sK7,minus(n6,n1)) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f139]) ).
fof(f141,plain,
( ? [X16,X17] :
( a_select3(pminus_ds1_filter,X16,X17) != a_select3(pminus_ds1_filter,X17,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,minus(n6,n1))
& leq(X17,minus(n6,n1)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f131]) ).
fof(f142,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| ~ sP1 ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
( ( a_select3(pminus_ds1_filter,sK8,sK9) != a_select3(pminus_ds1_filter,sK9,sK8)
& leq(n0,sK8)
& leq(n0,sK9)
& leq(sK8,minus(n6,n1))
& leq(sK9,minus(n6,n1)) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f142]) ).
fof(f144,plain,
( ? [X18] :
( ? [X19] :
( a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18)
& leq(n0,X19)
& leq(X19,minus(n6,n1)) )
& leq(n0,X18)
& leq(X18,minus(n6,n1)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f130]) ).
fof(f145,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(n0,X1)
& leq(X1,minus(n6,n1)) )
& leq(n0,X0)
& leq(X0,minus(n6,n1)) )
| ~ sP0 ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
( ( a_select3(id_ds1_filter,sK10,sK11) != a_select3(id_ds1_filter,sK11,sK10)
& leq(n0,sK11)
& leq(sK11,minus(n6,n1))
& leq(n0,sK10)
& leq(sK10,minus(n6,n1)) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f145]) ).
fof(f147,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| sP3
| sP2
| sP1
| sP0 )
& leq(n0,pv5)
& leq(n0,pv47)
& leq(pv5,minus(n999,n1))
& leq(pv47,minus(n6,n1))
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1)) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8,X9] :
( a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8)
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,minus(n6,n1))
| ~ leq(X9,minus(n6,n1)) )
& ! [X10] :
( ! [X11] :
( a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10)
| ~ leq(n0,X11)
| ~ leq(X11,minus(n6,n1)) )
| ~ leq(n0,X10)
| ~ leq(X10,minus(n6,n1)) ) ),
inference(rectify,[],[f134]) ).
fof(f148,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12)
& leq(n0,sK12)
& leq(n0,sK13)
& leq(sK12,minus(n6,n1))
& leq(sK13,minus(n6,n1)) )
| sP3
| sP2
| sP1
| sP0 )
& leq(n0,pv5)
& leq(n0,pv47)
& leq(pv5,minus(n999,n1))
& leq(pv47,minus(n6,n1))
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1)) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8,X9] :
( a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8)
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,minus(n6,n1))
| ~ leq(X9,minus(n6,n1)) )
& ! [X10] :
( ! [X11] :
( a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10)
| ~ leq(n0,X11)
| ~ leq(X11,minus(n6,n1)) )
| ~ leq(n0,X10)
| ~ leq(X10,minus(n6,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f147]) ).
fof(f152,plain,
( leq(sK5,minus(n3,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f137]) ).
fof(f153,plain,
( leq(sK4,minus(n3,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f137]) ).
fof(f154,plain,
( leq(n0,sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f137]) ).
fof(f155,plain,
( leq(n0,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f137]) ).
fof(f156,plain,
( a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f137]) ).
fof(f157,plain,
( leq(sK7,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f158,plain,
( leq(sK6,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f159,plain,
( leq(n0,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f160,plain,
( leq(n0,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f161,plain,
( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f162,plain,
( leq(sK9,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f163,plain,
( leq(sK8,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f164,plain,
( leq(n0,sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f165,plain,
( leq(n0,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f166,plain,
( a_select3(pminus_ds1_filter,sK8,sK9) != a_select3(pminus_ds1_filter,sK9,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f167,plain,
( leq(sK10,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f168,plain,
( leq(n0,sK10)
| ~ sP0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f169,plain,
( leq(sK11,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f170,plain,
( leq(n0,sK11)
| ~ sP0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f171,plain,
( a_select3(id_ds1_filter,sK10,sK11) != a_select3(id_ds1_filter,sK11,sK10)
| ~ sP0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f172,plain,
! [X10,X11] :
( a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10)
| ~ leq(n0,X11)
| ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X10)
| ~ leq(X10,minus(n6,n1)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f173,plain,
! [X8,X9] :
( a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8)
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,minus(n6,n1))
| ~ leq(X9,minus(n6,n1)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f175,plain,
! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f176,plain,
! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f178,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f148]) ).
fof(f180,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f148]) ).
fof(f181,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK13,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f182,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK12,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f183,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK13)
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f184,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK12)
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f185,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12)
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f260,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(n0,sK13)
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f183,f180]) ).
fof(f261,plain,
( leq(n0,sK13)
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f260,f178]) ).
fof(f262,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(n0,sK12)
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f184,f180]) ).
fof(f263,plain,
( leq(n0,sK12)
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f262,f178]) ).
fof(f264,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(sK13,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f181,f180]) ).
fof(f265,plain,
( leq(sK13,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f264,f178]) ).
fof(f266,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(sK12,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f182,f180]) ).
fof(f267,plain,
( leq(sK12,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f266,f178]) ).
fof(f268,plain,
( ~ leq(pv5,minus(n999,n1))
| a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12)
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f185,f180]) ).
fof(f269,plain,
( a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12)
| sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f268,f178]) ).
fof(f271,plain,
( a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK12,sK13)
| sP3
| sP2
| sP1
| sP0
| ~ leq(n0,sK12)
| ~ leq(n0,sK13)
| ~ leq(sK12,minus(n6,n1))
| ~ leq(sK13,minus(n6,n1)) ),
inference(superposition,[],[f269,f176]) ).
fof(f272,plain,
( sP3
| sP2
| sP1
| sP0
| ~ leq(n0,sK12)
| ~ leq(n0,sK13)
| ~ leq(sK12,minus(n6,n1))
| ~ leq(sK13,minus(n6,n1)) ),
inference(trivial_inequality_removal,[],[f271]) ).
fof(f274,plain,
( sP3
| sP2
| sP1
| sP0
| ~ leq(n0,sK13)
| ~ leq(sK12,minus(n6,n1))
| ~ leq(sK13,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f272,f263]) ).
fof(f276,plain,
( sP3
| sP2
| sP1
| sP0
| ~ leq(sK12,minus(n6,n1))
| ~ leq(sK13,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f274,f261]) ).
fof(f278,plain,
( sP3
| sP2
| sP1
| sP0
| ~ leq(sK13,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f276,f267]) ).
fof(f280,plain,
( sP3
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f278,f265]) ).
fof(f535,plain,
( a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK4,sK5)
| ~ sP3
| ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ leq(sK5,minus(n3,n1))
| ~ leq(sK4,minus(n3,n1)) ),
inference(superposition,[],[f156,f175]) ).
fof(f536,plain,
( ~ sP3
| ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ leq(sK5,minus(n3,n1))
| ~ leq(sK4,minus(n3,n1)) ),
inference(trivial_inequality_removal,[],[f535]) ).
fof(f538,plain,
( ~ sP3
| ~ leq(n0,sK4)
| ~ leq(sK5,minus(n3,n1))
| ~ leq(sK4,minus(n3,n1)) ),
inference(forward_subsumption_resolution,[],[f536,f154]) ).
fof(f540,plain,
( ~ sP3
| ~ leq(sK5,minus(n3,n1))
| ~ leq(sK4,minus(n3,n1)) ),
inference(forward_subsumption_resolution,[],[f538,f155]) ).
fof(f542,plain,
( ~ sP3
| ~ leq(sK4,minus(n3,n1)) ),
inference(forward_subsumption_resolution,[],[f540,f152]) ).
fof(f544,plain,
~ sP3,
inference(forward_subsumption_resolution,[],[f542,f153]) ).
fof(f546,plain,
( sP2
| sP1
| sP0 ),
inference(resolution,[],[f544,f280]) ).
fof(f548,plain,
( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK6,sK7)
| ~ sP2
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| ~ leq(sK7,minus(n6,n1))
| ~ leq(sK6,minus(n6,n1)) ),
inference(superposition,[],[f161,f173]) ).
fof(f549,plain,
( ~ sP2
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| ~ leq(sK7,minus(n6,n1))
| ~ leq(sK6,minus(n6,n1)) ),
inference(trivial_inequality_removal,[],[f548]) ).
fof(f551,plain,
( ~ sP2
| ~ leq(n0,sK6)
| ~ leq(sK7,minus(n6,n1))
| ~ leq(sK6,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f549,f159]) ).
fof(f553,plain,
( ~ sP2
| ~ leq(sK7,minus(n6,n1))
| ~ leq(sK6,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f551,f160]) ).
fof(f555,plain,
( ~ sP2
| ~ leq(sK6,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f553,f157]) ).
fof(f557,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f555,f158]) ).
fof(f560,plain,
( a_select3(pminus_ds1_filter,sK8,sK9) != a_select3(pminus_ds1_filter,sK8,sK9)
| ~ sP1
| ~ leq(n0,sK9)
| ~ leq(n0,sK8)
| ~ leq(sK9,minus(n6,n1))
| ~ leq(sK8,minus(n6,n1)) ),
inference(superposition,[],[f166,f173]) ).
fof(f561,plain,
( ~ sP1
| ~ leq(n0,sK9)
| ~ leq(n0,sK8)
| ~ leq(sK9,minus(n6,n1))
| ~ leq(sK8,minus(n6,n1)) ),
inference(trivial_inequality_removal,[],[f560]) ).
fof(f563,plain,
( ~ sP1
| ~ leq(n0,sK8)
| ~ leq(sK9,minus(n6,n1))
| ~ leq(sK8,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f561,f164]) ).
fof(f565,plain,
( ~ sP1
| ~ leq(sK9,minus(n6,n1))
| ~ leq(sK8,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f563,f165]) ).
fof(f567,plain,
( ~ sP1
| ~ leq(sK8,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f565,f162]) ).
fof(f569,plain,
~ sP1,
inference(forward_subsumption_resolution,[],[f567,f163]) ).
fof(f572,plain,
( a_select3(id_ds1_filter,sK10,sK11) != a_select3(id_ds1_filter,sK10,sK11)
| ~ sP0
| ~ leq(n0,sK10)
| ~ leq(sK10,minus(n6,n1))
| ~ leq(n0,sK11)
| ~ leq(sK11,minus(n6,n1)) ),
inference(superposition,[],[f171,f172]) ).
fof(f573,plain,
( ~ sP0
| ~ leq(n0,sK10)
| ~ leq(sK10,minus(n6,n1))
| ~ leq(n0,sK11)
| ~ leq(sK11,minus(n6,n1)) ),
inference(trivial_inequality_removal,[],[f572]) ).
fof(f575,plain,
( ~ sP0
| ~ leq(sK10,minus(n6,n1))
| ~ leq(n0,sK11)
| ~ leq(sK11,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f573,f168]) ).
fof(f577,plain,
( ~ sP0
| ~ leq(n0,sK11)
| ~ leq(sK11,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f575,f167]) ).
fof(f579,plain,
( ~ sP0
| ~ leq(sK11,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f577,f170]) ).
fof(f581,plain,
~ sP0,
inference(forward_subsumption_resolution,[],[f579,f169]) ).
fof(f617,plain,
( sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f546,f557]) ).
fof(f618,plain,
sP0,
inference(forward_subsumption_resolution,[],[f617,f569]) ).
fof(f619,plain,
$false,
inference(forward_subsumption_resolution,[],[f618,f581]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV109+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n018.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 09:57:10 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.26 Running first-order theorem proving
% 0.20/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/0.97 % (3272123)Detected formulas, will run a generic FOF schedule.
% 0.83/0.97 % (3272132)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3711925233:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.83/0.97 % (3272132)First to succeed.
% 0.83/0.97 % (3272132)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3272123"
% 0.83/0.97 % (3272130)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=573994733:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.83/0.97 % (3272131)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2662894225:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.83/0.97 % (3272129)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1311442528:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.83/0.97 % (3272128)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=687822979:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.83/0.97 % (3272133)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2290425849:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.83/0.97 % (3272134)dis-21_1_sil=8000:lcm=predicate:random_seed=3453117628:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.83/0.97 % (3272134)Also succeeded, but the first one will report.
% 0.83/0.97 % (3272131)Instruction limit reached!
% 0.83/0.97 % (3272131)------------------------------
% 0.83/0.97 % (3272131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.83/0.97 % (3272131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.97 % (3272131)CaDiCaL version: 2.1.3
% 0.83/0.97 % (3272131)Termination reason: Instruction limit
% 0.83/0.97 % (3272131)Termination phase: Saturation
% 0.83/0.97 % (3272131)Time elapsed: 0.059 s
% 0.83/0.97 % (3272131)Peak memory usage: 89 MB
% 0.83/0.97 % (3272131)Instructions burned: 110 (million)
% 0.83/0.97 % (3272133)Instruction limit reached!
% 0.83/0.97 % (3272133)------------------------------
% 0.83/0.97 % (3272133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.83/0.97 % (3272133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.97 % (3272133)CaDiCaL version: 2.1.3
% 0.83/0.97 % (3272133)Termination reason: Instruction limit
% 0.83/0.97 % (3272133)Termination phase: Saturation
% 0.83/0.97 % (3272133)Time elapsed: 0.090 s
% 0.83/0.97 % (3272133)Peak memory usage: 90 MB
% 0.83/0.97 % (3272133)Instructions burned: 139 (million)
% 0.83/0.97 % (3272132)Refutation found. Thanks to Tanya!
% 0.83/0.97 % SZS status Theorem for theBenchmark
% 0.83/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.16 % (3272132)------------------------------
% 2.57/1.16 % (3272132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.16 % (3272132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.16 % (3272132)CaDiCaL version: 2.1.3
% 2.57/1.16 % (3272132)Termination reason: Refutation
% 2.57/1.16 % (3272132)Time elapsed: 0.007 s
% 2.57/1.16 % (3272132)Peak memory usage: 88 MB
% 2.57/1.16 % (3272132)Instructions burned: 20 (million)
% 2.57/1.16 % (3272132)------------------------------
% 2.57/1.16 % (3272132)------------------------------
% 2.57/1.16 % (3272123)Success in time 0.273 s
% 2.57/1.16 % Vampire exiting
%------------------------------------------------------------------------------