%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV111+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:08:10 PM UTC 2026
% Result : Theorem 6.86s 1.86s
% Output : Refutation 9.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 32
% Syntax : Number of formulae : 236 ( 35 unt; 26 def)
% Number of atoms : 1130 ( 123 equ)
% Maximal formula atoms : 62 ( 4 avg)
% Number of connectives : 1445 ( 551 ~; 576 |; 261 &)
% ( 24 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 27 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 21 con; 0-3 aty)
% Number of variables : 191 ( 0 sgn 143 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f6,axiom,
! [X0,X1] :
( lt(X0,X1)
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lt_gt) ).
fof(f9,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& X0 != X1 )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f53,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,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)) )
=> ( ( ( lt(X7,plus(n1,minus(n6,n1)))
& X6 = pv57 )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ( lt(X6,pv57)
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,minus(pv57,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(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,pv57)
& leq(X17,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,minus(pv57,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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0004) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,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)) )
=> ( ( ( lt(X7,plus(n1,minus(n6,n1)))
& X6 = pv57 )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ( lt(X6,pv57)
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,minus(pv57,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(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,pv57)
& leq(X17,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) )
& ! [X18] :
( ( leq(n0,X18)
& leq(X18,minus(pv57,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,
! [X0,X1] :
( gt(X1,X0)
=> lt(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f105,plain,
( ( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,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(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,pv57)
& 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(pv57,n1)) ) )
& leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,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(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ lt(X7,plus(n1,minus(n6,n1)))
| pv57 != X6 )
& ( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ lt(X6,pv57) ) )
| ~ 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(pv57,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f106,plain,
( ( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,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(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,pv57)
& 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(pv57,n1)) ) )
& leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,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(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ lt(X7,plus(n1,minus(n6,n1)))
| pv57 != X6 )
& ( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ lt(X6,pv57) ) )
| ~ 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(pv57,n1)) ) ),
inference(flattening,[],[f105]) ).
fof(f121,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f9]) ).
fof(f122,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f121]) ).
fof(f124,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f125,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f132,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(pv57,n1)) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f133,definition,
( ? [X16,X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,pv57)
& leq(X17,minus(n6,n1)) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f134,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(f135,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(f136,plain,
( ( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,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,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,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(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ lt(X7,plus(n1,minus(n6,n1)))
| pv57 != X6 )
& ( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ lt(X6,pv57) ) )
| ~ 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(pv57,n1)) ) ),
inference(definition_folding,[],[f106,f135,f134,f133,f132]) ).
fof(f137,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,[],[f135]) ).
fof(f138,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,[],[f137]) ).
fof(f139,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)],[f138]) ).
fof(f140,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,[],[f134]) ).
fof(f141,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,[],[f140]) ).
fof(f142,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)],[f141]) ).
fof(f143,plain,
( ? [X16,X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X16)
& leq(n0,X17)
& leq(X16,pv57)
& leq(X17,minus(n6,n1)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f133]) ).
fof(f144,plain,
( ? [X0,X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,pv57)
& leq(X1,minus(n6,n1)) )
| ~ sP1 ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
( ( a_select3(id_ds1_filter,sK8,sK9) != a_select3(id_ds1_filter,sK9,sK8)
& leq(n0,sK8)
& leq(n0,sK9)
& leq(sK8,pv57)
& leq(sK9,minus(n6,n1)) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f144]) ).
fof(f146,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(pv57,n1)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f132]) ).
fof(f147,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(pv57,n1)) )
| ~ sP0 ),
inference(rectify,[],[f146]) ).
fof(f148,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(pv57,n1)) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f147]) ).
fof(f149,plain,
( ( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,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)) )
| sP3
| sP2
| sP1
| sP0 )
& leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,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(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ lt(X9,plus(n1,minus(n6,n1)))
| pv57 != X8 )
& ( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ lt(X8,pv57) ) )
| ~ 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(pv57,n1)) ) ),
inference(rectify,[],[f136]) ).
fof(f150,plain,
( ( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,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,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,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(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ lt(X9,plus(n1,minus(n6,n1)))
| pv57 != X8 )
& ( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ lt(X8,pv57) ) )
| ~ 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(pv57,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f149]) ).
fof(f152,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f153,plain,
( leq(sK5,minus(n3,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f139]) ).
fof(f154,plain,
( leq(sK4,minus(n3,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f139]) ).
fof(f155,plain,
( leq(n0,sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f139]) ).
fof(f156,plain,
( leq(n0,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f139]) ).
fof(f157,plain,
( a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f139]) ).
fof(f158,plain,
( leq(sK7,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f142]) ).
fof(f159,plain,
( leq(sK6,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f142]) ).
fof(f160,plain,
( leq(n0,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f142]) ).
fof(f161,plain,
( leq(n0,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f142]) ).
fof(f162,plain,
( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f142]) ).
fof(f163,plain,
( leq(sK9,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f164,plain,
( leq(sK8,pv57)
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f165,plain,
( leq(n0,sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f166,plain,
( leq(n0,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f167,plain,
( a_select3(id_ds1_filter,sK8,sK9) != a_select3(id_ds1_filter,sK9,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f168,plain,
( leq(sK10,minus(pv57,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f169,plain,
( leq(n0,sK10)
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f170,plain,
( leq(sK11,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f171,plain,
( leq(n0,sK11)
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f172,plain,
( a_select3(id_ds1_filter,sK10,sK11) != a_select3(id_ds1_filter,sK11,sK10)
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f173,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(pv57,n1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f174,plain,
! [X8,X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ lt(X8,pv57)
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,minus(n6,n1))
| ~ leq(X9,minus(n6,n1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f175,plain,
! [X8,X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ lt(X9,plus(n1,minus(n6,n1)))
| pv57 != X8
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,minus(n6,n1))
| ~ leq(X9,minus(n6,n1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f176,plain,
! [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)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f177,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,[],[f150]) ).
fof(f178,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,[],[f150]) ).
fof(f179,plain,
leq(pv57,minus(n6,n1)),
inference(cnf_transformation,[],[f150]) ).
fof(f180,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f150]) ).
fof(f181,plain,
leq(n0,pv57),
inference(cnf_transformation,[],[f150]) ).
fof(f182,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f150]) ).
fof(f183,plain,
( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| leq(sK13,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f184,plain,
( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| leq(sK12,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f185,plain,
( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| leq(n0,sK13)
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f186,plain,
( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| leq(n0,sK12)
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f187,plain,
( ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12)
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f237,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f122]) ).
fof(f239,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f241,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f250,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f261,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f265,plain,
! [X9] :
( a_select3(id_ds1_filter,pv57,X9) = a_select3(id_ds1_filter,X9,pv57)
| ~ lt(X9,plus(n1,minus(n6,n1)))
| ~ leq(n0,pv57)
| ~ leq(n0,X9)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(X9,minus(n6,n1)) ),
inference(equality_resolution,[],[f175]) ).
fof(f266,plain,
! [X9] :
( ~ lt(X9,succ(minus(n6,n1)))
| a_select3(id_ds1_filter,pv57,X9) = a_select3(id_ds1_filter,X9,pv57)
| ~ leq(n0,pv57)
| ~ leq(n0,X9)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(X9,minus(n6,n1)) ),
inference(forward_demodulation,[],[f265,f250]) ).
fof(f268,definition,
( spl14_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f271,definition,
( spl14_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f272,plain,
( sP1
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,definition,
( spl14_3
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f275,plain,
( sP2
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,definition,
( spl14_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f278,plain,
( sP3
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,definition,
( spl14_5
<=> leq(sK13,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f281,plain,
( leq(sK13,minus(n6,n1))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,definition,
( spl14_6
<=> leq(pv57,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f284,plain,
( ~ leq(pv57,minus(n6,n1))
| spl14_6 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,definition,
( spl14_7
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f287,plain,
( ~ leq(pv5,minus(n999,n1))
| spl14_7 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,definition,
( spl14_8
<=> leq(n0,pv57) ),
introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition]) ).
fof(f290,plain,
( ~ leq(n0,pv57)
| spl14_8 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,definition,
( spl14_9
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
fof(f293,plain,
( ~ leq(n0,pv5)
| spl14_9 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f183,f292,f289,f286,f283,f280,f277,f274,f271,f268]) ).
fof(f296,definition,
( spl14_10
<=> leq(sK12,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl14_10])],[avatar_definition]) ).
fof(f297,plain,
( leq(sK12,minus(n6,n1))
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| spl14_10
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f184,f292,f289,f286,f283,f296,f277,f274,f271,f268]) ).
fof(f300,definition,
( spl14_11
<=> leq(n0,sK13) ),
introduced(definition,[new_symbols(definition,[spl14_11])],[avatar_definition]) ).
fof(f301,plain,
( leq(n0,sK13)
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| spl14_11
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f185,f292,f289,f286,f283,f300,f277,f274,f271,f268]) ).
fof(f304,definition,
( spl14_12
<=> leq(n0,sK12) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f305,plain,
( leq(n0,sK12)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| spl14_12
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f186,f292,f289,f286,f283,f304,f277,f274,f271,f268]) ).
fof(f308,definition,
( spl14_13
<=> a_select3(q_ds1_filter,sK12,sK13) = a_select3(q_ds1_filter,sK13,sK12) ),
introduced(definition,[new_symbols(definition,[spl14_13])],[avatar_definition]) ).
fof(f309,plain,
( a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12)
| spl14_13 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| ~ spl14_13
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f187,f292,f289,f286,f283,f308,f277,f274,f271,f268]) ).
fof(f312,definition,
( spl14_14
<=> ! [X9] :
( ~ lt(X9,succ(minus(n6,n1)))
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,pv57,X9) = a_select3(id_ds1_filter,X9,pv57) ) ),
introduced(definition,[new_symbols(definition,[spl14_14])],[avatar_definition]) ).
fof(f313,plain,
( ! [X9] :
( a_select3(id_ds1_filter,pv57,X9) = a_select3(id_ds1_filter,X9,pv57)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| ~ lt(X9,succ(minus(n6,n1))) )
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( ~ spl14_6
| ~ spl14_8
| spl14_14 ),
inference(avatar_split_clause,[],[f266,f312,f289,f283]) ).
fof(f433,plain,
( $false
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f284,f179]) ).
fof(f434,plain,
spl14_6,
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f435,plain,
( $false
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f290,f181]) ).
fof(f436,plain,
spl14_8,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f437,plain,
( $false
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f287,f180]) ).
fof(f438,plain,
spl14_7,
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f439,plain,
( $false
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f293,f182]) ).
fof(f440,plain,
spl14_9,
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f446,plain,
( a_select3(id_ds1_filter,sK10,sK11) != a_select3(id_ds1_filter,sK10,sK11)
| ~ sP0
| ~ leq(n0,sK11)
| ~ leq(sK11,minus(n6,n1))
| ~ leq(n0,sK10)
| ~ leq(sK10,minus(pv57,n1)) ),
inference(superposition,[],[f172,f173]) ).
fof(f447,plain,
( ~ sP0
| ~ leq(n0,sK11)
| ~ leq(sK11,minus(n6,n1))
| ~ leq(n0,sK10)
| ~ leq(sK10,minus(pv57,n1)) ),
inference(trivial_inequality_removal,[],[f446]) ).
fof(f451,plain,
( ~ sP0
| ~ leq(sK11,minus(n6,n1))
| ~ leq(n0,sK10)
| ~ leq(sK10,minus(pv57,n1)) ),
inference(forward_subsumption_resolution,[],[f447,f171]) ).
fof(f455,plain,
( ~ sP0
| ~ leq(n0,sK10)
| ~ leq(sK10,minus(pv57,n1)) ),
inference(forward_subsumption_resolution,[],[f451,f170]) ).
fof(f460,definition,
( spl14_44
<=> leq(n0,sK8) ),
introduced(definition,[new_symbols(definition,[spl14_44])],[avatar_definition]) ).
fof(f461,plain,
( ~ leq(n0,sK8)
| spl14_44 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f463,definition,
( spl14_45
<=> leq(sK9,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl14_45])],[avatar_definition]) ).
fof(f464,plain,
( ~ leq(sK9,minus(n6,n1))
| spl14_45 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f466,definition,
( spl14_46
<=> leq(n0,sK9) ),
introduced(definition,[new_symbols(definition,[spl14_46])],[avatar_definition]) ).
fof(f467,plain,
( ~ leq(n0,sK9)
| spl14_46 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f474,definition,
( spl14_48
<=> leq(sK8,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl14_48])],[avatar_definition]) ).
fof(f475,plain,
( ~ leq(sK8,minus(n6,n1))
| spl14_48 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,plain,
( ~ sP0
| ~ leq(sK10,minus(pv57,n1)) ),
inference(forward_subsumption_resolution,[],[f455,f169]) ).
fof(f486,plain,
~ sP0,
inference(forward_subsumption_resolution,[],[f477,f168]) ).
fof(f487,plain,
~ spl14_1,
inference(avatar_split_clause,[],[f486,f268]) ).
fof(f489,plain,
( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK6,sK7)
| ~ sP2
| ~ leq(n0,sK6)
| ~ leq(n0,sK7)
| ~ leq(sK6,minus(n6,n1))
| ~ leq(sK7,minus(n6,n1)) ),
inference(superposition,[],[f162,f176]) ).
fof(f490,plain,
( ~ sP2
| ~ leq(n0,sK6)
| ~ leq(n0,sK7)
| ~ leq(sK6,minus(n6,n1))
| ~ leq(sK7,minus(n6,n1)) ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f492,plain,
( ~ sP2
| ~ leq(n0,sK7)
| ~ leq(sK6,minus(n6,n1))
| ~ leq(sK7,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f490,f161]) ).
fof(f494,plain,
( ~ sP2
| ~ leq(sK6,minus(n6,n1))
| ~ leq(sK7,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f492,f160]) ).
fof(f496,plain,
( ~ sP2
| ~ leq(sK7,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f494,f159]) ).
fof(f498,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f496,f158]) ).
fof(f501,plain,
( a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK4,sK5)
| ~ sP3
| ~ leq(n0,sK4)
| ~ leq(n0,sK5)
| ~ leq(sK4,minus(n3,n1))
| ~ leq(sK5,minus(n3,n1)) ),
inference(superposition,[],[f157,f177]) ).
fof(f502,plain,
( ~ sP3
| ~ leq(n0,sK4)
| ~ leq(n0,sK5)
| ~ leq(sK4,minus(n3,n1))
| ~ leq(sK5,minus(n3,n1)) ),
inference(trivial_inequality_removal,[],[f501]) ).
fof(f504,plain,
( ~ sP3
| ~ leq(n0,sK5)
| ~ leq(sK4,minus(n3,n1))
| ~ leq(sK5,minus(n3,n1)) ),
inference(forward_subsumption_resolution,[],[f502,f156]) ).
fof(f506,plain,
( ~ sP3
| ~ leq(sK4,minus(n3,n1))
| ~ leq(sK5,minus(n3,n1)) ),
inference(forward_subsumption_resolution,[],[f504,f155]) ).
fof(f508,plain,
( ~ sP3
| ~ leq(sK5,minus(n3,n1)) ),
inference(forward_subsumption_resolution,[],[f506,f154]) ).
fof(f510,plain,
~ sP3,
inference(forward_subsumption_resolution,[],[f508,f153]) ).
fof(f514,plain,
( a_select3(id_ds1_filter,sK8,sK9) != a_select3(id_ds1_filter,sK8,sK9)
| ~ sP1
| ~ lt(sK8,pv57)
| ~ leq(n0,sK8)
| ~ leq(n0,sK9)
| ~ leq(sK8,minus(n6,n1))
| ~ leq(sK9,minus(n6,n1)) ),
inference(superposition,[],[f167,f174]) ).
fof(f517,plain,
( ~ sP1
| ~ lt(sK8,pv57)
| ~ leq(n0,sK8)
| ~ leq(n0,sK9)
| ~ leq(sK8,minus(n6,n1))
| ~ leq(sK9,minus(n6,n1)) ),
inference(trivial_inequality_removal,[],[f514]) ).
fof(f523,definition,
( spl14_51
<=> lt(sK8,pv57) ),
introduced(definition,[new_symbols(definition,[spl14_51])],[avatar_definition]) ).
fof(f524,plain,
( ~ lt(sK8,pv57)
| spl14_51 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f550,plain,
( ~ sP1
| spl14_44 ),
inference(resolution,[],[f461,f166]) ).
fof(f553,plain,
( $false
| ~ spl14_2
| spl14_44 ),
inference(forward_subsumption_resolution,[],[f550,f272]) ).
fof(f554,plain,
( ~ spl14_2
| spl14_44 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f555,plain,
( ~ sP1
| spl14_46 ),
inference(resolution,[],[f467,f165]) ).
fof(f558,plain,
( $false
| ~ spl14_2
| spl14_46 ),
inference(forward_subsumption_resolution,[],[f555,f272]) ).
fof(f559,plain,
( ~ spl14_2
| spl14_46 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f560,plain,
( ~ sP1
| spl14_45 ),
inference(resolution,[],[f464,f163]) ).
fof(f563,plain,
( $false
| ~ spl14_2
| spl14_45 ),
inference(forward_subsumption_resolution,[],[f560,f272]) ).
fof(f564,plain,
( ~ spl14_2
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f600,plain,
( ! [X0] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(sK8,X0) )
| spl14_48 ),
inference(resolution,[],[f475,f239]) ).
fof(f796,plain,
( $false
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f278,f510]) ).
fof(f797,plain,
~ spl14_4,
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f815,plain,
( $false
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f275,f498]) ).
fof(f816,plain,
~ spl14_3,
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f935,plain,
( a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK12,sK13)
| ~ leq(n0,sK12)
| ~ leq(n0,sK13)
| ~ leq(sK12,minus(n6,n1))
| ~ leq(sK13,minus(n6,n1))
| spl14_13 ),
inference(superposition,[],[f309,f178]) ).
fof(f938,plain,
( ~ leq(n0,sK12)
| ~ leq(n0,sK13)
| ~ leq(sK12,minus(n6,n1))
| ~ leq(sK13,minus(n6,n1))
| spl14_13 ),
inference(trivial_inequality_removal,[],[f935]) ).
fof(f940,plain,
( ~ leq(n0,sK13)
| ~ leq(sK12,minus(n6,n1))
| ~ leq(sK13,minus(n6,n1))
| ~ spl14_12
| spl14_13 ),
inference(forward_subsumption_resolution,[],[f938,f305]) ).
fof(f942,plain,
( ~ leq(sK12,minus(n6,n1))
| ~ leq(sK13,minus(n6,n1))
| ~ spl14_11
| ~ spl14_12
| spl14_13 ),
inference(forward_subsumption_resolution,[],[f940,f301]) ).
fof(f944,plain,
( ~ leq(sK13,minus(n6,n1))
| ~ spl14_10
| ~ spl14_11
| ~ spl14_12
| spl14_13 ),
inference(forward_subsumption_resolution,[],[f942,f297]) ).
fof(f947,plain,
( $false
| ~ spl14_5
| ~ spl14_10
| ~ spl14_11
| ~ spl14_12
| spl14_13 ),
inference(forward_subsumption_resolution,[],[f944,f281]) ).
fof(f948,plain,
( ~ spl14_5
| ~ spl14_10
| ~ spl14_11
| ~ spl14_12
| spl14_13 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f1340,plain,
( ~ leq(sK8,pv57)
| spl14_48 ),
inference(resolution,[],[f600,f179]) ).
fof(f1358,plain,
( ~ lt(sK8,pv57)
| ~ leq(n0,sK8)
| ~ leq(n0,sK9)
| ~ leq(sK8,minus(n6,n1))
| ~ leq(sK9,minus(n6,n1))
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f517,f272]) ).
fof(f3197,definition,
( spl14_191
<=> lt(sK9,succ(minus(n6,n1))) ),
introduced(definition,[new_symbols(definition,[spl14_191])],[avatar_definition]) ).
fof(f3198,plain,
( ~ lt(sK9,succ(minus(n6,n1)))
| spl14_191 ),
inference(avatar_component_clause,[],[f3197]) ).
fof(f3310,plain,
( ~ gt(succ(minus(n6,n1)),sK9)
| spl14_191 ),
inference(resolution,[],[f3198,f241]) ).
fof(f3828,plain,
( ~ leq(sK9,minus(n6,n1))
| spl14_191 ),
inference(resolution,[],[f3310,f261]) ).
fof(f3843,plain,
( ~ spl14_45
| spl14_191 ),
inference(avatar_split_clause,[],[f3828,f3197,f463]) ).
fof(f4713,plain,
( ~ spl14_45
| ~ spl14_48
| ~ spl14_46
| ~ spl14_44
| ~ spl14_51
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f1358,f271,f523,f460,f466,f474,f463]) ).
fof(f5191,plain,
( ~ sP1
| spl14_48 ),
inference(resolution,[],[f1340,f164]) ).
fof(f5194,plain,
( $false
| ~ spl14_2
| spl14_48 ),
inference(forward_subsumption_resolution,[],[f5191,f272]) ).
fof(f5195,plain,
( ~ spl14_2
| spl14_48 ),
inference(avatar_contradiction_clause,[],[f5194]) ).
fof(f5196,plain,
( ~ gt(pv57,sK8)
| spl14_51 ),
inference(resolution,[],[f524,f241]) ).
fof(f5199,plain,
( ~ leq(sK8,pv57)
| pv57 = sK8
| spl14_51 ),
inference(resolution,[],[f5196,f237]) ).
fof(f5201,definition,
( spl14_257
<=> pv57 = sK8 ),
introduced(definition,[new_symbols(definition,[spl14_257])],[avatar_definition]) ).
fof(f5202,plain,
( pv57 = sK8
| ~ spl14_257 ),
inference(avatar_component_clause,[],[f5201]) ).
fof(f5204,definition,
( spl14_258
<=> leq(sK8,pv57) ),
introduced(definition,[new_symbols(definition,[spl14_258])],[avatar_definition]) ).
fof(f5205,plain,
( ~ leq(sK8,pv57)
| spl14_258 ),
inference(avatar_component_clause,[],[f5204]) ).
fof(f5206,plain,
( spl14_257
| ~ spl14_258
| spl14_51 ),
inference(avatar_split_clause,[],[f5199,f523,f5204,f5201]) ).
fof(f5243,plain,
( ~ sP1
| spl14_258 ),
inference(resolution,[],[f5205,f164]) ).
fof(f5246,plain,
( $false
| ~ spl14_2
| spl14_258 ),
inference(forward_subsumption_resolution,[],[f5243,f272]) ).
fof(f5247,plain,
( ~ spl14_2
| spl14_258 ),
inference(avatar_contradiction_clause,[],[f5246]) ).
fof(f5255,plain,
( a_select3(id_ds1_filter,pv57,sK9) != a_select3(id_ds1_filter,sK9,pv57)
| ~ sP1
| ~ spl14_257 ),
inference(superposition,[],[f167,f5202]) ).
fof(f5266,plain,
( a_select3(id_ds1_filter,pv57,sK9) != a_select3(id_ds1_filter,sK9,pv57)
| ~ spl14_2
| ~ spl14_257 ),
inference(forward_subsumption_resolution,[],[f5255,f272]) ).
fof(f7223,plain,
( a_select3(id_ds1_filter,pv57,sK9) != a_select3(id_ds1_filter,pv57,sK9)
| ~ leq(sK9,minus(n6,n1))
| ~ leq(n0,sK9)
| ~ lt(sK9,succ(minus(n6,n1)))
| ~ spl14_2
| ~ spl14_14
| ~ spl14_257 ),
inference(superposition,[],[f5266,f313]) ).
fof(f7232,plain,
( ~ leq(sK9,minus(n6,n1))
| ~ leq(n0,sK9)
| ~ lt(sK9,succ(minus(n6,n1)))
| ~ spl14_2
| ~ spl14_14
| ~ spl14_257 ),
inference(trivial_inequality_removal,[],[f7223]) ).
fof(f7233,plain,
( ~ spl14_191
| ~ spl14_46
| ~ spl14_45
| ~ spl14_2
| ~ spl14_14
| ~ spl14_257 ),
inference(avatar_split_clause,[],[f7232,f5201,f312,f271,f463,f466,f3197]) ).
cnf(s1,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(sat_conversion,[],[f294]) ).
cnf(s2,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| spl14_10 ),
inference(sat_conversion,[],[f298]) ).
cnf(s3,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| spl14_11 ),
inference(sat_conversion,[],[f302]) ).
cnf(s4,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| spl14_12 ),
inference(sat_conversion,[],[f306]) ).
cnf(s5,plain,
( spl14_1
| spl14_2
| spl14_3
| spl14_4
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_13 ),
inference(sat_conversion,[],[f310]) ).
cnf(s6,plain,
( ~ spl14_6
| ~ spl14_8
| spl14_14 ),
inference(sat_conversion,[],[f314]) ).
cnf(s21,plain,
spl14_6,
inference(sat_conversion,[],[f434]) ).
cnf(s22,plain,
spl14_8,
inference(sat_conversion,[],[f436]) ).
cnf(s23,plain,
spl14_7,
inference(sat_conversion,[],[f438]) ).
cnf(s24,plain,
spl14_9,
inference(sat_conversion,[],[f440]) ).
cnf(s28,plain,
~ spl14_1,
inference(sat_conversion,[],[f487]) ).
cnf(s31,plain,
( ~ spl14_2
| spl14_44 ),
inference(sat_conversion,[],[f554]) ).
cnf(s32,plain,
( ~ spl14_2
| spl14_46 ),
inference(sat_conversion,[],[f559]) ).
cnf(s33,plain,
( ~ spl14_2
| spl14_45 ),
inference(sat_conversion,[],[f564]) ).
cnf(s68,plain,
~ spl14_4,
inference(sat_conversion,[],[f797]) ).
cnf(s72,plain,
~ spl14_3,
inference(sat_conversion,[],[f816]) ).
cnf(s88,plain,
( ~ spl14_5
| ~ spl14_10
| ~ spl14_11
| ~ spl14_12
| spl14_13 ),
inference(sat_conversion,[],[f948]) ).
cnf(s272,plain,
( ~ spl14_45
| spl14_191 ),
inference(sat_conversion,[],[f3843]) ).
cnf(s366,plain,
( ~ spl14_2
| ~ spl14_44
| ~ spl14_45
| ~ spl14_46
| ~ spl14_48
| ~ spl14_51 ),
inference(sat_conversion,[],[f4713]) ).
cnf(s426,plain,
( ~ spl14_2
| spl14_48 ),
inference(sat_conversion,[],[f5195]) ).
cnf(s427,plain,
( spl14_51
| spl14_257
| ~ spl14_258 ),
inference(sat_conversion,[],[f5206]) ).
cnf(s429,plain,
( ~ spl14_2
| spl14_258 ),
inference(sat_conversion,[],[f5247]) ).
cnf(s516,plain,
( ~ spl14_2
| ~ spl14_14
| ~ spl14_45
| ~ spl14_46
| ~ spl14_191
| ~ spl14_257 ),
inference(sat_conversion,[],[f7233]) ).
cnf(s546,plain,
spl14_14,
inference(rat,[],[s6,s22,s21]) ).
cnf(s547,plain,
( spl14_2
| ~ spl14_13 ),
inference(rat,[],[s5,s24,s22,s23,s21,s68,s72,s28]) ).
cnf(s548,plain,
( spl14_2
| spl14_12 ),
inference(rat,[],[s4,s24,s22,s23,s21,s68,s72,s28]) ).
cnf(s549,plain,
( spl14_2
| spl14_11 ),
inference(rat,[],[s3,s24,s22,s23,s21,s68,s72,s28]) ).
cnf(s550,plain,
( spl14_2
| spl14_10 ),
inference(rat,[],[s2,s24,s22,s23,s21,s68,s72,s28]) ).
cnf(s551,plain,
( spl14_2
| spl14_5 ),
inference(rat,[],[s1,s24,s22,s23,s21,s68,s72,s28]) ).
cnf(s552,plain,
spl14_2,
inference(rat,[],[s88,s551,s550,s549,s548,s547]) ).
cnf(s553,plain,
spl14_258,
inference(rat,[],[s429,s552]) ).
cnf(s554,plain,
spl14_48,
inference(rat,[],[s426,s552]) ).
cnf(s556,plain,
spl14_45,
inference(rat,[],[s33,s552]) ).
cnf(s557,plain,
spl14_46,
inference(rat,[],[s32,s552]) ).
cnf(s558,plain,
spl14_44,
inference(rat,[],[s31,s552]) ).
cnf(s559,plain,
spl14_191,
inference(rat,[],[s272,s556]) ).
cnf(s560,plain,
~ spl14_257,
inference(rat,[],[s516,s556,s559,s552,s546,s557]) ).
cnf(s561,plain,
~ spl14_51,
inference(rat,[],[s366,s556,s554,s557,s552,s558]) ).
cnf(s564,plain,
$false,
inference(rat,[],[s427,s553,s560,s561]) ).
fof(f7234,plain,
$false,
inference(avatar_sat_refutation,[],[s564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV111+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n002.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 09:58:07 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/1.86 % (246247)Detected formulas, will run a generic FOF schedule.
% 6.86/1.86 % (246256)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=984197549:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.86/1.86 % (246257)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=497529349:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.86/1.86 % (246254)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=713322428:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.86/1.86 % (246255)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=330019505:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.86/1.86 % (246253)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=4112346128:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.86/1.86 % (246252)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=2406925484:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.86/1.86 % (246256)Instruction limit reached!
% 6.86/1.86 % (246256)------------------------------
% 6.86/1.86 % (246256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246256)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246256)Termination reason: Instruction limit
% 6.86/1.86 % (246256)Termination phase: Saturation
% 6.86/1.86 % (246256)Time elapsed: 0.041 s
% 6.86/1.86 % (246256)Peak memory usage: 89 MB
% 6.86/1.86 % (246256)Instructions burned: 119 (million)
% 6.86/1.86 % (246258)dis-21_1_sil=8000:lcm=predicate:random_seed=1112524705: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)
% 6.86/1.86 % (246255)Instruction limit reached!
% 6.86/1.86 % (246255)------------------------------
% 6.86/1.86 % (246255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246255)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246255)Termination reason: Instruction limit
% 6.86/1.86 % (246255)Termination phase: Saturation
% 6.86/1.86 % (246255)Time elapsed: 0.053 s
% 6.86/1.86 % (246255)Peak memory usage: 89 MB
% 6.86/1.86 % (246255)Instructions burned: 111 (million)
% 6.86/1.86 % (246257)Instruction limit reached!
% 6.86/1.86 % (246257)------------------------------
% 6.86/1.86 % (246257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246257)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246257)Termination reason: Instruction limit
% 6.86/1.86 % (246257)Termination phase: Saturation
% 6.86/1.86 % (246257)Time elapsed: 0.090 s
% 6.86/1.86 % (246257)Peak memory usage: 90 MB
% 6.86/1.86 % (246257)Instructions burned: 140 (million)
% 6.86/1.86 % (246258)Instruction limit reached!
% 6.86/1.86 % (246258)------------------------------
% 6.86/1.86 % (246258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246258)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246258)Termination reason: Instruction limit
% 6.86/1.86 % (246258)Termination phase: Saturation
% 6.86/1.86 % (246258)Time elapsed: 0.077 s
% 6.86/1.86 % (246258)Peak memory usage: 89 MB
% 6.86/1.86 % (246258)Instructions burned: 129 (million)
% 6.86/1.86 % (246266)lrs+10_1_sil=8000:sp=occurrence:random_seed=1788795497:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.86/1.86 % (246267)lrs+10_1_sil=32000:urr=on:br=off:random_seed=457754431:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.86/1.86 % (246266)Instruction limit reached!
% 6.86/1.86 % (246266)------------------------------
% 6.86/1.86 % (246266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246266)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246266)Termination reason: Instruction limit
% 6.86/1.86 % (246266)Termination phase: Saturation
% 6.86/1.86 % (246266)Time elapsed: 0.100 s
% 6.86/1.86 % (246266)Peak memory usage: 92 MB
% 6.86/1.86 % (246266)Instructions burned: 285 (million)
% 6.86/1.86 % (246268)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1974322780:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.86/1.86 % (246269)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3977799493:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.86/1.86 % (246267)Instruction limit reached!
% 6.86/1.86 % (246267)------------------------------
% 6.86/1.86 % (246267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246267)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246267)Termination reason: Instruction limit
% 6.86/1.86 % (246267)Termination phase: Saturation
% 6.86/1.86 % (246267)Time elapsed: 0.081 s
% 6.86/1.86 % (246267)Peak memory usage: 89 MB
% 6.86/1.86 % (246267)Instructions burned: 157 (million)
% 6.86/1.86 % (246272)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4040766146:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.86/1.86 % (246269)Instruction limit reached!
% 6.86/1.86 % (246269)------------------------------
% 6.86/1.86 % (246269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246269)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246269)Termination reason: Instruction limit
% 6.86/1.86 % (246269)Termination phase: Saturation
% 6.86/1.86 % (246269)Time elapsed: 0.143 s
% 6.86/1.86 % (246269)Peak memory usage: 91 MB
% 6.86/1.86 % (246269)Instructions burned: 250 (million)
% 6.86/1.86 % (246272)Instruction limit reached!
% 6.86/1.86 % (246272)------------------------------
% 6.86/1.86 % (246272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246272)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246272)Termination reason: Instruction limit
% 6.86/1.86 % (246272)Termination phase: Saturation
% 6.86/1.86 % (246272)Time elapsed: 0.085 s
% 6.86/1.86 % (246272)Peak memory usage: 90 MB
% 6.86/1.86 % (246272)Instructions burned: 297 (million)
% 6.86/1.86 % (246275)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1251518749:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.86/1.86 % (246268)Instruction limit reached!
% 6.86/1.86 % (246268)------------------------------
% 6.86/1.86 % (246268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246268)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246268)Termination reason: Instruction limit
% 6.86/1.86 % (246268)Termination phase: Saturation
% 6.86/1.86 % (246268)Time elapsed: 0.197 s
% 6.86/1.86 % (246268)Peak memory usage: 91 MB
% 6.86/1.86 % (246268)Instructions burned: 325 (million)
% 6.86/1.86 % (246278)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3547272624:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.86/1.86 % (246277)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2077482395:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.86/1.86 % (246278)Instruction limit reached!
% 6.86/1.86 % (246278)------------------------------
% 6.86/1.86 % (246278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246278)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246278)Termination reason: Instruction limit
% 6.86/1.86 % (246278)Termination phase: Saturation
% 6.86/1.86 % (246278)Time elapsed: 0.031 s
% 6.86/1.86 % (246278)Peak memory usage: 88 MB
% 6.86/1.86 % (246278)Instructions burned: 129 (million)
% 6.86/1.86 % (246280)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2963627114:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.86/1.86 % (246277)Instruction limit reached!
% 6.86/1.86 % (246277)------------------------------
% 6.86/1.86 % (246277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246277)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246277)Termination reason: Instruction limit
% 6.86/1.86 % (246277)Termination phase: Saturation
% 6.86/1.86 % (246277)Time elapsed: 0.071 s
% 6.86/1.86 % (246277)Peak memory usage: 89 MB
% 6.86/1.86 % (246277)Instructions burned: 114 (million)
% 6.86/1.86 % (246280)Instruction limit reached!
% 6.86/1.86 % (246280)------------------------------
% 6.86/1.86 % (246280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246280)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246280)Termination reason: Instruction limit
% 6.86/1.86 % (246280)Termination phase: Property scanning
% 6.86/1.86 % (246280)Time elapsed: 0.041 s
% 6.86/1.86 % (246280)Peak memory usage: 86 MB
% 6.86/1.86 % (246280)Instructions burned: 116 (million)
% 6.86/1.86 % (246283)lrs+10_1_sil=8000:sp=occurrence:random_seed=612762150:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.86/1.86 % (246285)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2115644383:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.86/1.86 % (246286)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2255999982:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.86/1.86 % (246285)First to succeed.
% 6.86/1.86 % (246285)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-246247"
% 6.86/1.86 % (246253)Also succeeded, but the first one will report.
% 6.86/1.86 % (246283)Instruction limit reached!
% 6.86/1.86 % (246283)------------------------------
% 6.86/1.86 % (246283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.86 % (246283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.86 % (246283)CaDiCaL version: 2.1.3
% 6.86/1.86 % (246283)Termination reason: Instruction limit
% 6.86/1.86 % (246283)Termination phase: Saturation
% 6.86/1.86 % (246283)Time elapsed: 0.310 s
% 6.86/1.86 % (246283)Peak memory usage: 96 MB
% 6.86/1.86 % (246283)Instructions burned: 909 (million)
% 6.86/1.86 % (246252)Also succeeded, but the first one will report.
% 6.86/1.86 % (246290)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1459243474:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.86/1.86 % (246285)Refutation found. Thanks to Tanya!
% 6.86/1.86 % SZS status Theorem for theBenchmark
% 6.86/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 9.16/2.05 % (246285)------------------------------
% 9.16/2.05 % (246285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.05 % (246285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.05 % (246285)CaDiCaL version: 2.1.3
% 9.16/2.05 % (246285)Termination reason: Refutation
% 9.16/2.05 % (246285)Time elapsed: 0.127 s
% 9.16/2.05 % (246285)Peak memory usage: 91 MB
% 9.16/2.05 % (246285)Instructions burned: 194 (million)
% 9.16/2.05 % (246285)------------------------------
% 9.16/2.05 % (246285)------------------------------
% 9.16/2.05 % (246247)Success in time 1.215 s
% 9.16/2.05 % Vampire exiting
%------------------------------------------------------------------------------