%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN011-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 10:19:10 AM UTC 2026
% Result : Unsatisfiable 18.24s 3.27s
% Output : Refutation 18.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 16
% Syntax : Number of formulae : 196 ( 124 unt; 4 def)
% Number of atoms : 271 ( 126 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 148 ( 73 ~; 71 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 234 ( 0 sgn 234 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f9,axiom,
divide(identity,a) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f10,axiom,
divide(identity,b) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_b) ).
fof(f11,axiom,
divide(identity,c) = e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_c) ).
fof(f12,axiom,
divide(identity,d) = g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_d) ).
fof(f13,negated_conjecture,
divide(c,g) != divide(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f23,plain,
! [X0] : less_equal(divide(divide(X0,a),c),divide(divide(X0,identity),a)),
inference(superposition,[],[f4,f9]) ).
fof(f24,plain,
! [X0] : less_equal(divide(divide(X0,b),d),divide(divide(X0,identity),b)),
inference(superposition,[],[f4,f10]) ).
fof(f25,plain,
! [X0] : less_equal(divide(divide(X0,c),e),divide(divide(X0,identity),c)),
inference(superposition,[],[f4,f11]) ).
fof(f26,plain,
! [X0] : less_equal(divide(divide(X0,d),g),divide(divide(X0,identity),d)),
inference(superposition,[],[f4,f12]) ).
fof(f29,plain,
! [X0] : less_equal(divide(divide(identity,X0),divide(c,X0)),divide(e,X0)),
inference(superposition,[],[f4,f11]) ).
fof(f30,plain,
! [X0] : less_equal(divide(divide(identity,X0),divide(d,X0)),divide(g,X0)),
inference(superposition,[],[f4,f12]) ).
fof(f31,plain,
! [X0] : zero = divide(X0,identity),
inference(resolution,[],[f7,f1]) ).
fof(f41,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f5,f1]) ).
fof(f94,plain,
! [X0] : less_equal(divide(divide(X0,c),e),divide(zero,c)),
inference(superposition,[],[f25,f31]) ).
fof(f96,plain,
! [X0] : less_equal(divide(divide(X0,c),e),zero),
inference(forward_demodulation,[],[f94,f41]) ).
fof(f110,plain,
! [X0] : less_equal(divide(divide(X0,d),g),divide(zero,d)),
inference(superposition,[],[f26,f31]) ).
fof(f112,plain,
! [X0] : less_equal(divide(divide(X0,d),g),zero),
inference(forward_demodulation,[],[f110,f41]) ).
fof(f168,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[],[f3,f1]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))
| divide(divide(X0,X1),X2) = divide(divide(X0,X2),divide(X1,X2)) ),
inference(resolution,[],[f6,f4]) ).
fof(f205,plain,
! [X0] :
( ~ less_equal(zero,divide(divide(X0,c),e))
| zero = divide(divide(X0,c),e) ),
inference(resolution,[],[f6,f96]) ).
fof(f207,plain,
! [X0] :
( ~ less_equal(zero,divide(divide(X0,d),g))
| zero = divide(divide(X0,d),g) ),
inference(resolution,[],[f6,f112]) ).
fof(f208,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f210,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f211,plain,
! [X0] : zero = divide(divide(X0,d),g),
inference(forward_subsumption_resolution,[],[f207,f5]) ).
fof(f213,plain,
! [X0] : zero = divide(divide(X0,c),e),
inference(forward_subsumption_resolution,[],[f205,f5]) ).
fof(f355,plain,
! [X0] :
( ~ less_equal(divide(divide(X0,identity),b),divide(divide(X0,b),d))
| divide(divide(X0,identity),b) = divide(divide(X0,b),d) ),
inference(resolution,[],[f24,f6]) ).
fof(f365,plain,
! [X0] :
( ~ less_equal(divide(zero,b),divide(divide(X0,b),d))
| divide(divide(X0,identity),b) = divide(divide(X0,b),d) ),
inference(forward_demodulation,[],[f355,f31]) ).
fof(f369,plain,
! [X0] :
( ~ less_equal(zero,divide(divide(X0,b),d))
| divide(divide(X0,identity),b) = divide(divide(X0,b),d) ),
inference(forward_demodulation,[],[f365,f41]) ).
fof(f370,plain,
! [X0] : divide(divide(X0,identity),b) = divide(divide(X0,b),d),
inference(forward_subsumption_resolution,[],[f369,f5]) ).
fof(f371,plain,
! [X0] : divide(divide(X0,b),d) = divide(zero,b),
inference(forward_demodulation,[],[f370,f31]) ).
fof(f372,plain,
! [X0] : zero = divide(divide(X0,b),d),
inference(forward_demodulation,[],[f371,f41]) ).
fof(f398,plain,
! [X0] :
( ~ less_equal(divide(divide(X0,identity),a),divide(divide(X0,a),c))
| divide(divide(X0,identity),a) = divide(divide(X0,a),c) ),
inference(resolution,[],[f23,f6]) ).
fof(f408,plain,
! [X0] :
( ~ less_equal(divide(zero,a),divide(divide(X0,a),c))
| divide(divide(X0,identity),a) = divide(divide(X0,a),c) ),
inference(forward_demodulation,[],[f398,f31]) ).
fof(f412,plain,
! [X0] :
( ~ less_equal(zero,divide(divide(X0,a),c))
| divide(divide(X0,identity),a) = divide(divide(X0,a),c) ),
inference(forward_demodulation,[],[f408,f41]) ).
fof(f413,plain,
! [X0] : divide(divide(X0,identity),a) = divide(divide(X0,a),c),
inference(forward_subsumption_resolution,[],[f412,f5]) ).
fof(f414,plain,
! [X0] : divide(divide(X0,a),c) = divide(zero,a),
inference(forward_demodulation,[],[f413,f31]) ).
fof(f415,plain,
! [X0] : zero = divide(divide(X0,a),c),
inference(forward_demodulation,[],[f414,f41]) ).
fof(f590,plain,
! [X0,X1] :
( ~ less_equal(divide(zero,X1),divide(divide(X0,X1),divide(identity,X1)))
| divide(divide(X0,X1),divide(identity,X1)) = divide(zero,X1) ),
inference(superposition,[],[f197,f31]) ).
fof(f591,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(zero,X2),divide(divide(divide(X0,X1),X2),divide(X0,X2)))
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = divide(zero,X2) ),
inference(superposition,[],[f197,f168]) ).
fof(f612,plain,
! [X0,X1] :
( ~ less_equal(zero,divide(divide(X0,X0),divide(X1,X0)))
| zero = divide(divide(X0,X0),divide(X1,X0)) ),
inference(superposition,[],[f197,f168]) ).
fof(f619,plain,
! [X0] :
( ~ less_equal(zero,divide(divide(X0,c),divide(a,c)))
| zero = divide(divide(X0,c),divide(a,c)) ),
inference(superposition,[],[f197,f415]) ).
fof(f620,plain,
! [X0] :
( ~ less_equal(zero,divide(divide(X0,d),divide(b,d)))
| zero = divide(divide(X0,d),divide(b,d)) ),
inference(superposition,[],[f197,f372]) ).
fof(f621,plain,
! [X0] :
( ~ less_equal(zero,divide(divide(X0,e),divide(c,e)))
| zero = divide(divide(X0,e),divide(c,e)) ),
inference(superposition,[],[f197,f213]) ).
fof(f622,plain,
! [X0] :
( ~ less_equal(zero,divide(divide(X0,g),divide(d,g)))
| zero = divide(divide(X0,g),divide(d,g)) ),
inference(superposition,[],[f197,f211]) ).
fof(f699,plain,
! [X0] : zero = divide(divide(X0,g),divide(d,g)),
inference(forward_subsumption_resolution,[],[f622,f5]) ).
fof(f700,plain,
! [X0] : zero = divide(divide(X0,e),divide(c,e)),
inference(forward_subsumption_resolution,[],[f621,f5]) ).
fof(f701,plain,
! [X0] : zero = divide(divide(X0,d),divide(b,d)),
inference(forward_subsumption_resolution,[],[f620,f5]) ).
fof(f702,plain,
! [X0] : zero = divide(divide(X0,c),divide(a,c)),
inference(forward_subsumption_resolution,[],[f619,f5]) ).
fof(f709,plain,
! [X0,X1] : zero = divide(divide(X0,X0),divide(X1,X0)),
inference(forward_subsumption_resolution,[],[f612,f5]) ).
fof(f725,plain,
! [X2,X0,X1] :
( ~ less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = divide(zero,X2) ),
inference(forward_demodulation,[],[f591,f41]) ).
fof(f726,plain,
! [X0,X1] :
( ~ less_equal(zero,divide(divide(X0,X1),divide(identity,X1)))
| divide(divide(X0,X1),divide(identity,X1)) = divide(zero,X1) ),
inference(forward_demodulation,[],[f590,f41]) ).
fof(f772,plain,
! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),divide(X0,X2)) = divide(zero,X2),
inference(forward_subsumption_resolution,[],[f725,f5]) ).
fof(f773,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = divide(zero,X1),
inference(forward_subsumption_resolution,[],[f726,f5]) ).
fof(f807,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(forward_demodulation,[],[f772,f41]) ).
fof(f808,plain,
! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
inference(forward_demodulation,[],[f773,f41]) ).
fof(f878,plain,
! [X0,X1] :
( zero != zero
| less_equal(divide(X0,X0),divide(X1,X0)) ),
inference(superposition,[],[f2,f709]) ).
fof(f887,plain,
! [X0,X1] : less_equal(divide(X0,X0),divide(X1,X0)),
inference(trivial_inequality_removal,[],[f878]) ).
fof(f963,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,d),divide(b,d)) ),
inference(superposition,[],[f2,f701]) ).
fof(f973,plain,
! [X0] : less_equal(divide(X0,d),divide(b,d)),
inference(trivial_inequality_removal,[],[f963]) ).
fof(f992,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,c),divide(a,c)) ),
inference(superposition,[],[f2,f702]) ).
fof(f1002,plain,
! [X0] : less_equal(divide(X0,c),divide(a,c)),
inference(trivial_inequality_removal,[],[f992]) ).
fof(f1242,plain,
! [X0,X1] :
( zero != zero
| less_equal(divide(X0,X1),divide(identity,X1)) ),
inference(superposition,[],[f2,f808]) ).
fof(f1253,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(trivial_inequality_removal,[],[f1242]) ).
fof(f1263,plain,
! [X0,X1] :
( ~ less_equal(divide(identity,X0),divide(X1,X0))
| divide(identity,X0) = divide(X1,X0) ),
inference(resolution,[],[f1253,f6]) ).
fof(f1367,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,e),divide(c,e)) ),
inference(superposition,[],[f2,f700]) ).
fof(f1381,plain,
! [X0] : less_equal(divide(X0,e),divide(c,e)),
inference(trivial_inequality_removal,[],[f1367]) ).
fof(f1390,plain,
divide(c,e) = divide(identity,e),
inference(resolution,[],[f1381,f1263]) ).
fof(f1412,plain,
( ~ less_equal(c,divide(identity,e))
| c = divide(identity,e) ),
inference(superposition,[],[f208,f1390]) ).
fof(f1417,definition,
( spl0_13
<=> c = divide(identity,e) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f1419,plain,
( c = divide(identity,e)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f1421,definition,
( spl0_14
<=> less_equal(c,divide(identity,e)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f1423,plain,
( ~ less_equal(c,divide(identity,e))
| spl0_14 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1424,plain,
( spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1412,f1421,f1417]) ).
fof(f1441,plain,
divide(identity,d) = divide(b,d),
inference(resolution,[],[f973,f1263]) ).
fof(f1449,plain,
g = divide(b,d),
inference(forward_demodulation,[],[f1441,f12]) ).
fof(f1468,plain,
zero = divide(g,b),
inference(superposition,[],[f168,f1449]) ).
fof(f1498,plain,
less_equal(divide(divide(identity,b),divide(d,b)),zero),
inference(superposition,[],[f30,f1468]) ).
fof(f1525,plain,
less_equal(divide(d,divide(d,b)),zero),
inference(forward_demodulation,[],[f1498,f10]) ).
fof(f1530,plain,
zero = divide(d,divide(d,b)),
inference(resolution,[],[f1525,f210]) ).
fof(f1538,plain,
( zero != zero
| less_equal(d,divide(d,b)) ),
inference(superposition,[],[f2,f1530]) ).
fof(f1552,plain,
less_equal(d,divide(d,b)),
inference(trivial_inequality_removal,[],[f1538]) ).
fof(f1570,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,g),divide(d,g)) ),
inference(superposition,[],[f2,f699]) ).
fof(f1584,plain,
! [X0] : less_equal(divide(X0,g),divide(d,g)),
inference(trivial_inequality_removal,[],[f1570]) ).
fof(f1593,plain,
divide(d,g) = divide(identity,g),
inference(resolution,[],[f1584,f1263]) ).
fof(f1615,plain,
( ~ less_equal(d,divide(identity,g))
| d = divide(identity,g) ),
inference(superposition,[],[f208,f1593]) ).
fof(f1620,definition,
( spl0_19
<=> d = divide(identity,g) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f1622,plain,
( d = divide(identity,g)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1624,definition,
( spl0_20
<=> less_equal(d,divide(identity,g)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f1626,plain,
( ~ less_equal(d,divide(identity,g))
| spl0_20 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1627,plain,
( spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1615,f1624,f1620]) ).
fof(f1644,plain,
divide(identity,c) = divide(a,c),
inference(resolution,[],[f1002,f1263]) ).
fof(f1652,plain,
e = divide(a,c),
inference(forward_demodulation,[],[f1644,f11]) ).
fof(f1671,plain,
zero = divide(e,a),
inference(superposition,[],[f168,f1652]) ).
fof(f1701,plain,
less_equal(divide(divide(identity,a),divide(c,a)),zero),
inference(superposition,[],[f29,f1671]) ).
fof(f1728,plain,
less_equal(divide(c,divide(c,a)),zero),
inference(forward_demodulation,[],[f1701,f9]) ).
fof(f1733,plain,
zero = divide(c,divide(c,a)),
inference(resolution,[],[f1728,f210]) ).
fof(f1741,plain,
( zero != zero
| less_equal(c,divide(c,a)) ),
inference(superposition,[],[f2,f1733]) ).
fof(f1755,plain,
less_equal(c,divide(c,a)),
inference(trivial_inequality_removal,[],[f1741]) ).
fof(f1852,plain,
! [X0] : divide(X0,X0) = divide(divide(X0,X0),X0),
inference(resolution,[],[f887,f208]) ).
fof(f1912,plain,
! [X0] : zero = divide(X0,X0),
inference(forward_demodulation,[],[f1852,f168]) ).
fof(f1970,plain,
! [X0,X1] :
( ~ less_equal(zero,divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))
| zero = divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) ),
inference(superposition,[],[f197,f1912]) ).
fof(f2014,plain,
! [X0,X1] : zero = divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),
inference(forward_subsumption_resolution,[],[f1970,f5]) ).
fof(f2717,plain,
! [X0,X1] :
( zero != zero
| less_equal(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) ),
inference(superposition,[],[f2,f2014]) ).
fof(f2736,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),
inference(trivial_inequality_removal,[],[f2717]) ).
fof(f2819,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(superposition,[],[f2736,f41]) ).
fof(f2843,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f2819,f210]) ).
fof(f2886,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f2843]) ).
fof(f2932,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f2886]) ).
fof(f3389,plain,
d = divide(d,b),
inference(resolution,[],[f1552,f208]) ).
fof(f3593,plain,
! [X2,X0,X1] :
( ~ less_equal(zero,divide(divide(divide(X0,X1),divide(X0,X2)),divide(X2,divide(X0,X2))))
| zero = divide(divide(divide(X0,X1),divide(X0,X2)),divide(X2,divide(X0,X2))) ),
inference(superposition,[],[f197,f807]) ).
fof(f3595,plain,
! [X2,X0,X1] :
( zero != zero
| less_equal(divide(divide(X0,X1),X2),divide(X0,X2)) ),
inference(superposition,[],[f2,f807]) ).
fof(f3618,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(trivial_inequality_removal,[],[f3595]) ).
fof(f3626,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X0,X2)),divide(X2,divide(X0,X2))),
inference(forward_subsumption_resolution,[],[f3593,f5]) ).
fof(f3757,plain,
! [X0] : less_equal(divide(e,X0),divide(a,X0)),
inference(superposition,[],[f3618,f1652]) ).
fof(f3758,plain,
! [X0] : less_equal(divide(g,X0),divide(b,X0)),
inference(superposition,[],[f3618,f1449]) ).
fof(f3951,plain,
less_equal(divide(g,divide(b,zero)),zero),
inference(superposition,[],[f3758,f2843]) ).
fof(f3955,plain,
zero = divide(g,divide(b,zero)),
inference(resolution,[],[f3951,f210]) ).
fof(f3973,plain,
! [X0] :
( ~ less_equal(divide(divide(g,X0),divide(b,zero)),divide(zero,divide(X0,divide(b,zero))))
| divide(divide(g,X0),divide(b,zero)) = divide(zero,divide(X0,divide(b,zero))) ),
inference(superposition,[],[f197,f3955]) ).
fof(f3989,plain,
! [X0] : less_equal(divide(divide(g,X0),divide(b,zero)),zero),
inference(superposition,[],[f3618,f3955]) ).
fof(f3994,plain,
! [X0] :
( ~ less_equal(divide(divide(g,X0),divide(b,zero)),zero)
| divide(divide(g,X0),divide(b,zero)) = divide(zero,divide(X0,divide(b,zero))) ),
inference(forward_demodulation,[],[f3973,f41]) ).
fof(f4000,plain,
! [X0] : divide(divide(g,X0),divide(b,zero)) = divide(zero,divide(X0,divide(b,zero))),
inference(forward_subsumption_resolution,[],[f3994,f3989]) ).
fof(f4002,plain,
! [X0] : zero = divide(divide(g,X0),divide(b,zero)),
inference(forward_demodulation,[],[f4000,f41]) ).
fof(f4159,plain,
c = divide(c,a),
inference(resolution,[],[f1755,f208]) ).
fof(f4312,plain,
less_equal(divide(e,divide(a,zero)),zero),
inference(superposition,[],[f3757,f2843]) ).
fof(f4316,plain,
zero = divide(e,divide(a,zero)),
inference(resolution,[],[f4312,f210]) ).
fof(f4334,plain,
! [X0] :
( ~ less_equal(divide(divide(e,X0),divide(a,zero)),divide(zero,divide(X0,divide(a,zero))))
| divide(divide(e,X0),divide(a,zero)) = divide(zero,divide(X0,divide(a,zero))) ),
inference(superposition,[],[f197,f4316]) ).
fof(f4350,plain,
! [X0] : less_equal(divide(divide(e,X0),divide(a,zero)),zero),
inference(superposition,[],[f3618,f4316]) ).
fof(f4355,plain,
! [X0] :
( ~ less_equal(divide(divide(e,X0),divide(a,zero)),zero)
| divide(divide(e,X0),divide(a,zero)) = divide(zero,divide(X0,divide(a,zero))) ),
inference(forward_demodulation,[],[f4334,f41]) ).
fof(f4361,plain,
! [X0] : divide(divide(e,X0),divide(a,zero)) = divide(zero,divide(X0,divide(a,zero))),
inference(forward_subsumption_resolution,[],[f4355,f4350]) ).
fof(f4363,plain,
! [X0] : zero = divide(divide(e,X0),divide(a,zero)),
inference(forward_demodulation,[],[f4361,f41]) ).
fof(f4767,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f2932,f208]) ).
fof(f4876,plain,
! [X0] : zero = divide(divide(e,X0),a),
inference(superposition,[],[f4363,f4767]) ).
fof(f4885,plain,
! [X0] : zero = divide(divide(g,X0),b),
inference(superposition,[],[f4002,f4767]) ).
fof(f5003,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,divide(g,X1)),b),divide(divide(X0,b),zero))
| divide(divide(X0,b),zero) = divide(divide(X0,divide(g,X1)),b) ),
inference(superposition,[],[f197,f4885]) ).
fof(f5025,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,divide(g,X1)),b),divide(X0,b))
| divide(divide(X0,b),zero) = divide(divide(X0,divide(g,X1)),b) ),
inference(forward_demodulation,[],[f5003,f4767]) ).
fof(f5040,plain,
! [X0,X1] : divide(divide(X0,b),zero) = divide(divide(X0,divide(g,X1)),b),
inference(forward_subsumption_resolution,[],[f5025,f3618]) ).
fof(f5047,plain,
! [X0,X1] : divide(X0,b) = divide(divide(X0,divide(g,X1)),b),
inference(forward_demodulation,[],[f5040,f4767]) ).
fof(f5083,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,divide(e,X1)),a),divide(divide(X0,a),zero))
| divide(divide(X0,a),zero) = divide(divide(X0,divide(e,X1)),a) ),
inference(superposition,[],[f197,f4876]) ).
fof(f5105,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,divide(e,X1)),a),divide(X0,a))
| divide(divide(X0,a),zero) = divide(divide(X0,divide(e,X1)),a) ),
inference(forward_demodulation,[],[f5083,f4767]) ).
fof(f5120,plain,
! [X0,X1] : divide(divide(X0,a),zero) = divide(divide(X0,divide(e,X1)),a),
inference(forward_subsumption_resolution,[],[f5105,f3618]) ).
fof(f5127,plain,
! [X0,X1] : divide(X0,a) = divide(divide(X0,divide(e,X1)),a),
inference(forward_demodulation,[],[f5120,f4767]) ).
fof(f5825,plain,
! [X0] : divide(X0,b) = divide(divide(X0,g),b),
inference(superposition,[],[f5047,f4767]) ).
fof(f5919,plain,
! [X0] : less_equal(divide(X0,b),divide(X0,g)),
inference(superposition,[],[f3,f5825]) ).
fof(f6056,plain,
less_equal(d,divide(d,g)),
inference(superposition,[],[f5919,f3389]) ).
fof(f6071,plain,
less_equal(d,divide(identity,g)),
inference(forward_demodulation,[],[f6056,f1593]) ).
fof(f6078,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f6071,f1626]) ).
fof(f6079,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f6078]) ).
fof(f6524,plain,
! [X0] : divide(X0,a) = divide(divide(X0,e),a),
inference(superposition,[],[f5127,f4767]) ).
fof(f6618,plain,
! [X0] : less_equal(divide(X0,a),divide(X0,e)),
inference(superposition,[],[f3,f6524]) ).
fof(f6755,plain,
less_equal(c,divide(c,e)),
inference(superposition,[],[f6618,f4159]) ).
fof(f6770,plain,
less_equal(c,divide(identity,e)),
inference(forward_demodulation,[],[f6755,f1390]) ).
fof(f6777,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f6770,f1423]) ).
fof(f6778,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f6777]) ).
fof(f9676,plain,
! [X2,X0,X1] : zero = divide(divide(divide(divide(X0,X1),X2),zero),divide(X0,zero)),
inference(superposition,[],[f3626,f168]) ).
fof(f9815,plain,
! [X2,X0,X1] :
( zero != zero
| less_equal(divide(divide(X0,X1),divide(X0,X2)),divide(X2,divide(X0,X2))) ),
inference(superposition,[],[f2,f3626]) ).
fof(f9843,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X0,X2)),divide(X2,divide(X0,X2))),
inference(trivial_inequality_removal,[],[f9815]) ).
fof(f9941,plain,
! [X2,X0,X1] : zero = divide(divide(divide(divide(X0,X1),X2),zero),X0),
inference(forward_demodulation,[],[f9676,f4767]) ).
fof(f10105,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),X2),X0),
inference(forward_demodulation,[],[f9941,f4767]) ).
fof(f10332,plain,
! [X2,X0,X1] : less_equal(divide(divide(divide(X0,X1),X2),zero),divide(X0,zero)),
inference(superposition,[],[f9843,f168]) ).
fof(f10532,plain,
! [X2,X0,X1] : less_equal(divide(divide(divide(X0,X1),X2),zero),X0),
inference(forward_demodulation,[],[f10332,f4767]) ).
fof(f10688,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),X2),X0),
inference(forward_demodulation,[],[f10532,f4767]) ).
fof(f12282,plain,
! [X2,X3,X0,X1] :
( ~ less_equal(divide(divide(X0,divide(divide(X1,X2),X3)),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,X1),zero) = divide(divide(X0,divide(divide(X1,X2),X3)),X1) ),
inference(superposition,[],[f197,f10105]) ).
fof(f12461,plain,
! [X2,X3,X0,X1] :
( ~ less_equal(divide(divide(X0,divide(divide(X1,X2),X3)),X1),divide(X0,X1))
| divide(divide(X0,X1),zero) = divide(divide(X0,divide(divide(X1,X2),X3)),X1) ),
inference(forward_demodulation,[],[f12282,f4767]) ).
fof(f12570,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),zero) = divide(divide(X0,divide(divide(X1,X2),X3)),X1),
inference(forward_subsumption_resolution,[],[f12461,f3618]) ).
fof(f12588,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(divide(X0,divide(divide(X1,X2),X3)),X1),
inference(forward_demodulation,[],[f12570,f4767]) ).
fof(f12805,plain,
! [X2,X0,X1] : divide(X2,X0) = divide(divide(X2,divide(X0,X1)),X0),
inference(superposition,[],[f12588,f4767]) ).
fof(f13164,plain,
! [X0,X1] : divide(X1,X0) = divide(divide(X1,X0),X0),
inference(superposition,[],[f12805,f4767]) ).
fof(f13385,plain,
! [X2,X0,X1] : less_equal(divide(X0,X1),divide(X0,divide(X1,X2))),
inference(superposition,[],[f3,f12805]) ).
fof(f13418,plain,
! [X2,X3,X0,X1] : less_equal(divide(divide(X0,X1),X3),divide(X0,divide(X1,X2))),
inference(superposition,[],[f10688,f12805]) ).
fof(f13848,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(divide(X0,X1),X2),X1),divide(divide(X0,X1),divide(X2,X1)))
| divide(divide(X0,X1),divide(X2,X1)) = divide(divide(divide(X0,X1),X2),X1) ),
inference(superposition,[],[f197,f13164]) ).
fof(f13965,plain,
! [X2,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = divide(divide(divide(X0,X1),X2),X1),
inference(forward_subsumption_resolution,[],[f13848,f13418]) ).
fof(f14335,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X1),divide(X2,X1)))
| divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X1),X2) ),
inference(superposition,[],[f208,f13965]) ).
fof(f14504,plain,
! [X2,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X1),X2),
inference(forward_subsumption_resolution,[],[f14335,f13385]) ).
fof(f15253,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,X2),X1),divide(divide(X0,X1),X2))
| divide(divide(X0,X2),X1) = divide(divide(X0,X1),X2) ),
inference(superposition,[],[f197,f14504]) ).
fof(f15254,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)),
inference(superposition,[],[f4,f14504]) ).
fof(f15424,plain,
! [X2,X0,X1] : divide(divide(X0,X2),X1) = divide(divide(X0,X1),X2),
inference(forward_subsumption_resolution,[],[f15253,f15254]) ).
fof(f15997,plain,
( ! [X0] : divide(c,X0) = divide(divide(identity,X0),e)
| ~ spl0_13 ),
inference(superposition,[],[f15424,f1419]) ).
fof(f26966,plain,
( divide(c,g) = divide(d,e)
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f15997,f1622]) ).
fof(f27147,plain,
( $false
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f26966,f13]) ).
fof(f27148,plain,
( ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f27147]) ).
cnf(s7,plain,
( spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f1424]) ).
cnf(s10,plain,
( spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s25,plain,
spl0_20,
inference(sat_conversion,[],[f6079]) ).
cnf(s28,plain,
spl0_14,
inference(sat_conversion,[],[f6778]) ).
cnf(s40,plain,
( ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f27148]) ).
cnf(s41,plain,
spl0_19,
inference(rat,[],[s10,s25]) ).
cnf(s42,plain,
~ spl0_13,
inference(rat,[],[s40,s41]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s7,s28,s42]) ).
fof(f27184,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HEN011-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 10:51:20 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.34 Running first-order theorem proving
% 0.05/0.34 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
% 11.79/2.31 % (2205819)Input is clausal, will run a generic CNF schedule.
% 11.79/2.31 % (2205869)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2446235648:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 11.79/2.31 % (2205868)lrs+10_1_sil=8000:sp=occurrence:random_seed=3949768916:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 11.79/2.31 % (2205867)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1231290668:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 11.79/2.31 % (2205866)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=479295716:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 11.79/2.31 % (2205865)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=1740706373:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 11.79/2.31 % (2205870)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4071817462:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 11.79/2.31 % (2205869)Refutation not found, incomplete strategy
% 11.79/2.31 % (2205869)------------------------------
% 11.79/2.31 % (2205869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.79/2.31 % (2205869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.79/2.31 % (2205869)CaDiCaL version: 2.1.3
% 11.79/2.31 % (2205869)Termination reason: Refutation not found, incomplete strategy
% 11.79/2.31 % (2205869)Time elapsed: 0.001 s
% 11.79/2.31 % (2205869)Peak memory usage: 88 MB
% 11.79/2.31 % (2205869)Instructions burned: 2 (million)
% 11.79/2.31 % (2205868)Instruction limit reached!
% 11.79/2.31 % (2205868)------------------------------
% 11.79/2.31 % (2205868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.79/2.31 % (2205868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.79/2.31 % (2205868)CaDiCaL version: 2.1.3
% 11.79/2.31 % (2205868)Termination reason: Instruction limit
% 11.79/2.31 % (2205868)Termination phase: Saturation
% 11.79/2.31 % (2205868)Time elapsed: 0.055 s
% 11.79/2.32 % (2205868)Peak memory usage: 89 MB
% 11.79/2.32 % (2205868)Instructions burned: 108 (million)
% 11.79/2.32 % (2205871)dis-21_1_sil=8000:lcm=predicate:random_seed=4140972090:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 11.79/2.32 % (2205871)Refutation not found, incomplete strategy
% 11.79/2.32 % (2205871)------------------------------
% 11.79/2.32 % (2205871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.79/2.32 % (2205871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.79/2.32 % (2205871)CaDiCaL version: 2.1.3
% 11.79/2.32 % (2205871)Termination reason: Refutation not found, incomplete strategy
% 11.79/2.32 % (2205871)Time elapsed: 0.002 s
% 11.79/2.32 % (2205871)Peak memory usage: 88 MB
% 11.79/2.32 % (2205871)Instructions burned: 1 (million)
% 11.79/2.32 % (2205870)Instruction limit reached!
% 11.79/2.32 % (2205870)------------------------------
% 11.79/2.32 % (2205870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.79/2.32 % (2205870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.79/2.32 % (2205870)CaDiCaL version: 2.1.3
% 11.79/2.32 % (2205870)Termination reason: Instruction limit
% 11.79/2.32 % (2205870)Termination phase: Saturation
% 11.79/2.32 % (2205870)Time elapsed: 0.090 s
% 11.79/2.32 % (2205870)Peak memory usage: 90 MB
% 11.79/2.32 % (2205870)Instructions burned: 181 (million)
% 11.79/2.32 % (2205884)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1962695120:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.79/2.32 % (2205869)------------------------------
% 11.79/2.32 % (2205869)------------------------------
% 11.79/2.32 % (2205886)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=953567857:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.79/2.32 % (2205884)Instruction limit reached!
% 11.79/2.32 % (2205884)------------------------------
% 11.79/2.32 % (2205884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.79/2.32 % (2205884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205884)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205884)Termination reason: Instruction limit
% 18.24/3.27 % (2205884)Termination phase: Saturation
% 18.24/3.27 % (2205884)Time elapsed: 0.090 s
% 18.24/3.27 % (2205884)Peak memory usage: 90 MB
% 18.24/3.27 % (2205884)Instructions burned: 144 (million)
% 18.24/3.27 % (2205871)------------------------------
% 18.24/3.27 % (2205871)------------------------------
% 18.24/3.27 % (2205886)Instruction limit reached!
% 18.24/3.27 % (2205886)------------------------------
% 18.24/3.27 % (2205886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205886)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205886)Termination reason: Instruction limit
% 18.24/3.27 % (2205886)Termination phase: Saturation
% 18.24/3.27 % (2205886)Time elapsed: 0.104 s
% 18.24/3.27 % (2205886)Peak memory usage: 90 MB
% 18.24/3.27 % (2205886)Instructions burned: 190 (million)
% 18.24/3.27 % (2205890)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2846560287:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 18.24/3.27 % (2205894)lrs+10_64_to=lpo:sil=8000:random_seed=3449547303:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 18.24/3.27 % (2205894)Instruction limit reached!
% 18.24/3.27 % (2205894)------------------------------
% 18.24/3.27 % (2205894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205894)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205894)Termination reason: Instruction limit
% 18.24/3.27 % (2205894)Termination phase: Saturation
% 18.24/3.27 % (2205894)Time elapsed: 0.061 s
% 18.24/3.27 % (2205894)Peak memory usage: 87 MB
% 18.24/3.27 % (2205894)Instructions burned: 127 (million)
% 18.24/3.27 % (2205895)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=653785397:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 18.24/3.27 % (2205890)Instruction limit reached!
% 18.24/3.27 % (2205890)------------------------------
% 18.24/3.27 % (2205890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205890)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205890)Termination reason: Instruction limit
% 18.24/3.27 % (2205890)Termination phase: Saturation
% 18.24/3.27 % (2205890)Time elapsed: 0.110 s
% 18.24/3.27 % (2205890)Peak memory usage: 89 MB
% 18.24/3.27 % (2205890)Instructions burned: 219 (million)
% 18.24/3.27 % (2205896)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2355847477:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 18.24/3.27 % (2205895)Instruction limit reached!
% 18.24/3.27 % (2205895)------------------------------
% 18.24/3.27 % (2205895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205895)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205895)Termination reason: Instruction limit
% 18.24/3.27 % (2205895)Termination phase: Saturation
% 18.24/3.27 % (2205895)Time elapsed: 0.110 s
% 18.24/3.27 % (2205895)Peak memory usage: 89 MB
% 18.24/3.27 % (2205895)Instructions burned: 195 (million)
% 18.24/3.27 % (2205896)Instruction limit reached!
% 18.24/3.27 % (2205896)------------------------------
% 18.24/3.27 % (2205896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205896)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205896)Termination reason: Instruction limit
% 18.24/3.27 % (2205896)Termination phase: Saturation
% 18.24/3.27 % (2205896)Time elapsed: 0.085 s
% 18.24/3.27 % (2205896)Peak memory usage: 91 MB
% 18.24/3.27 % (2205896)Instructions burned: 158 (million)
% 18.24/3.27 % (2205904)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3774512001:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 18.24/3.27 % (2205905)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2530428899:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 18.24/3.27 % (2205905)Instruction limit reached!
% 18.24/3.27 % (2205905)------------------------------
% 18.24/3.27 % (2205905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205905)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205905)Termination reason: Instruction limit
% 18.24/3.27 % (2205905)Termination phase: Saturation
% 18.24/3.27 % (2205905)Time elapsed: 0.046 s
% 18.24/3.27 % (2205905)Peak memory usage: 89 MB
% 18.24/3.27 % (2205905)Instructions burned: 107 (million)
% 18.24/3.27 % (2205907)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1258633048:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 18.24/3.27 % (2205908)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4174028985:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 18.24/3.27 % (2205907)Instruction limit reached!
% 18.24/3.27 % (2205907)------------------------------
% 18.24/3.27 % (2205907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205907)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205907)Termination reason: Instruction limit
% 18.24/3.27 % (2205907)Termination phase: Saturation
% 18.24/3.27 % (2205907)Time elapsed: 0.061 s
% 18.24/3.27 % (2205907)Peak memory usage: 89 MB
% 18.24/3.27 % (2205907)Instructions burned: 108 (million)
% 18.24/3.27 % (2205912)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2655629957:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 18.24/3.27 % (2205908)Instruction limit reached!
% 18.24/3.27 % (2205908)------------------------------
% 18.24/3.27 % (2205908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205908)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205908)Termination reason: Instruction limit
% 18.24/3.27 % (2205908)Termination phase: Saturation
% 18.24/3.27 % (2205908)Time elapsed: 0.121 s
% 18.24/3.27 % (2205908)Peak memory usage: 90 MB
% 18.24/3.27 % (2205908)Instructions burned: 242 (million)
% 18.24/3.27 % (2205916)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1943352396:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 18.24/3.27 % (2205916)Instruction limit reached!
% 18.24/3.27 % (2205916)------------------------------
% 18.24/3.27 % (2205916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205916)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205916)Termination reason: Instruction limit
% 18.24/3.27 % (2205916)Termination phase: Saturation
% 18.24/3.27 % (2205916)Time elapsed: 0.048 s
% 18.24/3.27 % (2205916)Peak memory usage: 90 MB
% 18.24/3.27 % (2205916)Instructions burned: 134 (million)
% 18.24/3.27 % (2205918)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3388951334:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 18.24/3.27 % (2205920)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4289600245:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 18.24/3.27 % (2205920)Instruction limit reached!
% 18.24/3.27 % (2205920)------------------------------
% 18.24/3.27 % (2205920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205920)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205920)Termination reason: Instruction limit
% 18.24/3.27 % (2205920)Termination phase: Saturation
% 18.24/3.27 % (2205920)Time elapsed: 0.103 s
% 18.24/3.27 % (2205920)Peak memory usage: 90 MB
% 18.24/3.27 % (2205920)Instructions burned: 191 (million)
% 18.24/3.27 % (2205923)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1185497420:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 18.24/3.27 % (2205918)Instruction limit reached!
% 18.24/3.27 % (2205918)------------------------------
% 18.24/3.27 % (2205918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205918)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205918)Termination reason: Instruction limit
% 18.24/3.27 % (2205918)Termination phase: Saturation
% 18.24/3.27 % (2205918)Time elapsed: 0.285 s
% 18.24/3.27 % (2205918)Peak memory usage: 96 MB
% 18.24/3.27 % (2205918)Instructions burned: 500 (million)
% 18.24/3.27 % (2205923)Instruction limit reached!
% 18.24/3.27 % (2205923)------------------------------
% 18.24/3.27 % (2205923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205923)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205923)Termination reason: Instruction limit
% 18.24/3.27 % (2205923)Termination phase: Saturation
% 18.24/3.27 % (2205923)Time elapsed: 0.143 s
% 18.24/3.27 % (2205923)Peak memory usage: 92 MB
% 18.24/3.27 % (2205923)Instructions burned: 265 (million)
% 18.24/3.27 % (2205927)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=603744688:cond=on:i=156:bs=on:gtg=exists_all:er=known_2983 on theBenchmark for (2983ds/156Mi)
% 18.24/3.27 % (2205927)Instruction limit reached!
% 18.24/3.27 % (2205927)------------------------------
% 18.24/3.27 % (2205927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205927)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205927)Termination reason: Instruction limit
% 18.24/3.27 % (2205927)Termination phase: Saturation
% 18.24/3.27 % (2205927)Time elapsed: 0.087 s
% 18.24/3.27 % (2205927)Peak memory usage: 89 MB
% 18.24/3.27 % (2205927)Instructions burned: 157 (million)
% 18.24/3.27 % (2205928)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1282193864:i=3256:kws=precedence:bd=preordered:av=off_2981 on theBenchmark for (2981ds/3256Mi)
% 18.24/3.27 % (2205930)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3692647199:i=537:av=off:ss=included_2980 on theBenchmark for (2980ds/537Mi)
% 18.24/3.27 % (2205930)Refutation not found, incomplete strategy
% 18.24/3.27 % (2205930)------------------------------
% 18.24/3.27 % (2205930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.27 % (2205930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.27 % (2205930)CaDiCaL version: 2.1.3
% 18.24/3.27 % (2205930)Termination reason: Refutation not found, incomplete strategy
% 18.24/3.27 % (2205930)Time elapsed: 0.006 s
% 18.24/3.27 % (2205930)Peak memory usage: 87 MB
% 18.24/3.27 % (2205930)Instructions burned: 15 (million)
% 18.24/3.27 % (2205930)------------------------------
% 18.24/3.27 % (2205930)------------------------------
% 18.24/3.27 % (2205904)First to succeed.
% 18.24/3.27 % (2205904)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2205819"
% 18.24/3.27 % (2205865)Also succeeded, but the first one will report.
% 18.24/3.27 % (2205933)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2415423113:i=180:bd=preordered:av=off_2976 on theBenchmark for (2976ds/180Mi)
% 18.24/3.27 % (2205904)Refutation found. Thanks to Tanya!
% 18.24/3.27 % SZS status Unsatisfiable for theBenchmark
% 18.24/3.27 % SZS output start Proof for theBenchmark
% See solution above
% 18.88/3.42 % (2205904)------------------------------
% 18.88/3.42 % (2205904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.88/3.42 % (2205904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.88/3.42 % (2205904)CaDiCaL version: 2.1.3
% 18.88/3.42 % (2205904)Termination reason: Refutation
% 18.88/3.42 % (2205904)Time elapsed: 1.479 s
% 18.88/3.42 % (2205904)Peak memory usage: 143 MB
% 18.88/3.42 % (2205904)Instructions burned: 2458 (million)
% 18.88/3.42 % (2205904)------------------------------
% 18.88/3.42 % (2205904)------------------------------
% 18.88/3.42 % (2205819)Success in time 2.649 s
% 18.88/3.42 % Vampire exiting
%------------------------------------------------------------------------------