%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV997_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:26:47 PM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 438 ( 306 equ)
% Maximal formula atoms : 54 ( 16 avg)
% Number of connectives : 653 ( 242 ~; 105 |; 301 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 489 ( 127 atm; 0 fun; 231 num; 131 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 6 usr; 13 con; 0-1 aty)
% Number of variables : 131 ( 131 !; 0 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
z1: $int ).
tff(func_def_1,type,
z2: $int ).
tff(func_def_2,type,
z3: $int ).
tff(func_def_3,type,
z4: $int ).
tff(func_def_4,type,
a: $int > $int ).
tff(func_def_5,type,
b: $int > $int ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
~ ( ( ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int] :
( ~ $less(b(X1),1)
& ~ $less(5,b(X1)) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [X2: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( 10 = a(X2) )
& ( 10 = a(X3) ) )
& ! [X4: $int,X5: $int] :
~ ( ( X4 != X5 )
& ( 9 = a(X4) )
& ( 10 = a(X5) )
& $less(b(X5),3)
& $less(X5,X4) )
& ! [X6: $int,X7: $int] :
~ ( ( X6 != X7 )
& ( 8 = a(X6) )
& ( 10 = a(X7) )
& $less(b(X7),3)
& $less(X7,X6) )
& ! [X8: $int,X9: $int,X10: $int] :
~ ( ( X8 != X9 )
& ( X8 != X10 )
& ( X9 != X10 )
& ( 7 = a(X8) )
& ( 10 = a(X9) )
& $less(b(X9),3)
& ( 5 = b(X10) )
& $less(X9,X8) )
& ! [X11: $int,X12: $int,X13: $int] :
~ ( ( X11 != X12 )
& ( X11 != X13 )
& ( X12 != X13 )
& ( 6 = a(X11) )
& ( 10 = a(X12) )
& $less(b(X12),3)
& ( 5 = b(X13) )
& $less(X12,X11) )
& ! [X14: $int,X15: $int,X16: $int] :
~ ( ( X14 != X15 )
& ( X14 != X16 )
& ( X15 != X16 )
& ( 7 = a(X14) )
& ( 10 = a(X15) )
& ( 8 = a(X16) )
& $less(b(X15),3)
& $less(X15,X14) ) )
=> ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
~ ( ( ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int] :
( ~ $less(b(X1),1)
& ~ $less(5,b(X1)) )
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [X2: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( 10 = a(X2) )
& ( 10 = a(X3) ) )
& ! [X4: $int,X5: $int] :
~ ( ( X4 != X5 )
& ( 9 = a(X4) )
& ( 10 = a(X5) )
& $less(b(X5),3)
& $less(X5,X4) )
& ! [X6: $int,X7: $int] :
~ ( ( X6 != X7 )
& ( 8 = a(X6) )
& ( 10 = a(X7) )
& $less(b(X7),3)
& $less(X7,X6) )
& ! [X8: $int,X9: $int,X10: $int] :
~ ( ( X8 != X9 )
& ( X8 != X10 )
& ( X9 != X10 )
& ( 7 = a(X8) )
& ( 10 = a(X9) )
& $less(b(X9),3)
& ( 5 = b(X10) )
& $less(X9,X8) )
& ! [X11: $int,X12: $int,X13: $int] :
~ ( ( X11 != X12 )
& ( X11 != X13 )
& ( X12 != X13 )
& ( 6 = a(X11) )
& ( 10 = a(X12) )
& $less(b(X12),3)
& ( 5 = b(X13) )
& $less(X12,X11) )
& ! [X14: $int,X15: $int,X16: $int] :
~ ( ( X14 != X15 )
& ( X14 != X16 )
& ( X15 != X16 )
& ( 7 = a(X14) )
& ( 10 = a(X15) )
& ( 8 = a(X16) )
& $less(b(X15),3)
& $less(X15,X14) ) )
=> ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1) ) ),
inference(true_and_false_elimination,[],[f16]) ).
tff(f18,plain,
( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1)
& ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int] :
( ~ $less(b(X1),1)
& ~ $less(5,b(X1)) )
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( 10 != a(X2) )
| ( 10 != a(X3) ) )
& ! [X4: $int,X5: $int] :
( ( X4 = X5 )
| ( 9 != a(X4) )
| ( 10 != a(X5) )
| ~ $less(b(X5),3)
| ~ $less(X5,X4) )
& ! [X6: $int,X7: $int] :
( ( X6 = X7 )
| ( 8 != a(X6) )
| ( 10 != a(X7) )
| ~ $less(b(X7),3)
| ~ $less(X7,X6) )
& ! [X8: $int,X9: $int,X10: $int] :
( ( X8 = X9 )
| ( X8 = X10 )
| ( X9 = X10 )
| ( 7 != a(X8) )
| ( 10 != a(X9) )
| ~ $less(b(X9),3)
| ( 5 != b(X10) )
| ~ $less(X9,X8) )
& ! [X11: $int,X12: $int,X13: $int] :
( ( X11 = X12 )
| ( X11 = X13 )
| ( X12 = X13 )
| ( 6 != a(X11) )
| ( 10 != a(X12) )
| ~ $less(b(X12),3)
| ( 5 != b(X13) )
| ~ $less(X12,X11) )
& ! [X14: $int,X15: $int,X16: $int] :
( ( X14 = X15 )
| ( X14 = X16 )
| ( X15 = X16 )
| ( 7 != a(X14) )
| ( 10 != a(X15) )
| ( 8 != a(X16) )
| ~ $less(b(X15),3)
| ~ $less(X15,X14) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f19,plain,
( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1)
& ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int] :
( ~ $less(b(X1),1)
& ~ $less(5,b(X1)) )
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( 10 != a(X2) )
| ( 10 != a(X3) ) )
& ! [X4: $int,X5: $int] :
( ( X4 = X5 )
| ( 9 != a(X4) )
| ( 10 != a(X5) )
| ~ $less(b(X5),3)
| ~ $less(X5,X4) )
& ! [X6: $int,X7: $int] :
( ( X6 = X7 )
| ( 8 != a(X6) )
| ( 10 != a(X7) )
| ~ $less(b(X7),3)
| ~ $less(X7,X6) )
& ! [X8: $int,X9: $int,X10: $int] :
( ( X8 = X9 )
| ( X8 = X10 )
| ( X9 = X10 )
| ( 7 != a(X8) )
| ( 10 != a(X9) )
| ~ $less(b(X9),3)
| ( 5 != b(X10) )
| ~ $less(X9,X8) )
& ! [X11: $int,X12: $int,X13: $int] :
( ( X11 = X12 )
| ( X11 = X13 )
| ( X12 = X13 )
| ( 6 != a(X11) )
| ( 10 != a(X12) )
| ~ $less(b(X12),3)
| ( 5 != b(X13) )
| ~ $less(X12,X11) )
& ! [X14: $int,X15: $int,X16: $int] :
( ( X14 = X15 )
| ( X14 = X16 )
| ( X15 = X16 )
| ( 7 != a(X14) )
| ( 10 != a(X15) )
| ( 8 != a(X16) )
| ~ $less(b(X15),3)
| ~ $less(X15,X14) ) ),
inference(flattening,[],[f18]) ).
tff(f21,plain,
! [X11: $int,X12: $int,X13: $int] :
( ( 6 != a(X11) )
| ( X11 = X13 )
| ( X12 = X13 )
| ( X11 = X12 )
| ( 10 != a(X12) )
| ~ $less(b(X12),3)
| ( 5 != b(X13) )
| ~ $less(X12,X11) ),
inference(cnf_transformation,[],[f19]) ).
tff(f28,plain,
z2 != z3,
inference(cnf_transformation,[],[f19]) ).
tff(f30,plain,
z1 != z3,
inference(cnf_transformation,[],[f19]) ).
tff(f31,plain,
z1 != z2,
inference(cnf_transformation,[],[f19]) ).
tff(f36,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f19]) ).
tff(f37,plain,
5 = b(z3),
inference(cnf_transformation,[],[f19]) ).
tff(f38,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f19]) ).
tff(f40,plain,
10 = a(z2),
inference(cnf_transformation,[],[f19]) ).
tff(f41,plain,
6 = a(z1),
inference(cnf_transformation,[],[f19]) ).
tff(f242,plain,
! [X0: $int,X1: $int] :
( ( 6 != 6 )
| ( z1 = X0 )
| ( X0 = X1 )
| ( z1 = X1 )
| ( 10 != a(X1) )
| ~ $less(b(X1),3)
| ( b(X0) != 5 )
| ~ $less(X1,z1) ),
inference(superposition,[],[f21,f41]) ).
tff(f243,plain,
! [X0: $int,X1: $int] :
( ( 10 != a(X1) )
| ( X0 = X1 )
| ( z1 = X1 )
| ( z1 = X0 )
| ~ $less(b(X1),3)
| ( b(X0) != 5 )
| ~ $less(X1,z1) ),
inference(trivial_inequality_removal,[],[f242]) ).
tff(f259,plain,
! [X0: $int] :
( ( 10 != 10 )
| ( z2 = X0 )
| ( z1 = z2 )
| ( z1 = X0 )
| ~ $less(b(z2),3)
| ( b(X0) != 5 )
| ~ $less(z2,z1) ),
inference(superposition,[],[f243,f40]) ).
tff(f260,plain,
! [X0: $int] :
( ( z2 = X0 )
| ( z1 = z2 )
| ( z1 = X0 )
| ~ $less(b(z2),3)
| ( b(X0) != 5 )
| ~ $less(z2,z1) ),
inference(trivial_inequality_removal,[],[f259]) ).
tff(f261,plain,
! [X0: $int] :
( ( z2 = X0 )
| ( z1 = X0 )
| ~ $less(b(z2),3)
| ( b(X0) != 5 )
| ~ $less(z2,z1) ),
inference(forward_subsumption_resolution,[],[f260,f31]) ).
tff(f262,plain,
! [X0: $int] :
( ( z2 = X0 )
| ( z1 = X0 )
| ( b(X0) != 5 )
| ~ $less(z2,z1) ),
inference(forward_subsumption_resolution,[],[f261,f38]) ).
tff(f263,plain,
! [X0: $int] :
( ( b(X0) != 5 )
| ( z1 = X0 )
| ( z2 = X0 ) ),
inference(forward_subsumption_resolution,[],[f262,f36]) ).
tff(f335,plain,
( ( 5 != 5 )
| ( z1 = z3 )
| ( z2 = z3 ) ),
inference(superposition,[],[f263,f37]) ).
tff(f336,plain,
( ( z1 = z3 )
| ( z2 = z3 ) ),
inference(trivial_inequality_removal,[],[f335]) ).
tff(f337,plain,
z2 = z3,
inference(forward_subsumption_resolution,[],[f336,f30]) ).
tff(f338,plain,
$false,
inference(forward_subsumption_resolution,[],[f337,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV997_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n015.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 13:10:32 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.25 % (2615665)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (2615672)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=407027786:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (2615672) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2615665-2615672"...
% 0.09/0.25 % (2615672)...printing done.
% 0.09/0.25 % (2615672)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (2615672)------------------------------
% 0.09/0.25 % (2615672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (2615672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (2615672)CaDiCaL version: 2.1.3
% 0.09/0.25 % (2615672)Termination reason: Refutation
% 0.09/0.25 % (2615672)Time elapsed: 0.004 s
% 0.09/0.25 % (2615672)Peak memory usage: 12 MB
% 0.09/0.25 % (2615672)Instructions burned: 11 (million)
% 0.09/0.25 % (2615665)Success in time 0.027 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------