%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC434_1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:03:56 PM UTC 2026
% Result : Theorem 5.28s 1.46s
% Output : Refutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 105 ( 43 unt; 0 typ; 4 def)
% Number of atoms : 232 ( 110 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 213 ( 86 ~; 93 |; 16 &)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number arithmetic : 837 ( 91 atm; 273 fun; 362 num; 111 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 : 9 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 36 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 111 ( 108 !; 3 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
v0: $int > $int ).
tff(func_def_1,type,
u2: ( $int * $int ) > $int ).
tff(func_def_2,type,
f2: $int > $int ).
tff(func_def_3,type,
u1: ( $int * $int ) > $int ).
tff(func_def_4,type,
u0: ( $int * $int ) > $int ).
tff(func_def_5,type,
v1: $int > $int ).
tff(func_def_6,type,
v2: $int > $int ).
tff(func_def_7,type,
h1: $int > $int ).
tff(func_def_8,type,
h2: $int > $int ).
tff(func_def_9,type,
g1: $int ).
tff(func_def_10,type,
fast: $int > $int ).
tff(func_def_11,type,
g0: $int ).
tff(func_def_12,type,
h0: $int > $int ).
tff(func_def_13,type,
small: $int > $int ).
tff(func_def_14,type,
f0: $int > $int ).
tff(func_def_15,type,
g2: $int ).
tff(func_def_16,type,
f1: $int > $int ).
tff(func_def_24,type,
sK0: $int ).
tff(func_def_26,type,
8: $int > $int ).
tff(func_def_28,type,
2: $int > $int ).
tff(func_def_30,type,
'$inst2': $int ).
tff(func_def_32,type,
4: $int > $int ).
tff(func_def_35,type,
16: $int > $int ).
tff(func_def_39,type,
32: $int > $int ).
tff(func_def_44,type,
64: $int > $int ).
tff(f1,axiom,
! [X0: $int] : ( f0(X0) = $product(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(f2,axiom,
g0 = $sum(1,2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).
tff(f3,axiom,
! [X0: $int] : ( f1(X0) = $sum(1,$sum(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).
tff(f4,axiom,
g1 = 2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4) ).
tff(f5,axiom,
! [X0: $int] : ( h1(X0) = $sum(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5) ).
tff(f6,axiom,
! [X0: $int,X1: $int] :
( ( $lesseq(X0,0)
=> ( u1(X0,X1) = X1 ) )
& ( ~ $lesseq(X0,0)
=> ( u1(X0,X1) = f1(u1($difference(X0,1),X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X0: $int] : ( v1(X0) = u1(g1,h1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7) ).
tff(f8,axiom,
! [X0: $int] : ( h0(X0) = v1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8) ).
tff(f9,axiom,
! [X1: $int,X0: $int] :
( ( $lesseq(X0,0)
=> ( u0(X0,X1) = X1 ) )
& ( ~ $lesseq(X0,0)
=> ( u0(X0,X1) = f0(u0($difference(X0,1),X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9) ).
tff(f10,axiom,
! [X0: $int] : ( v0(X0) = u0(g0,h0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_10) ).
tff(f11,axiom,
! [X0: $int] : ( small(X0) = v0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11) ).
tff(f12,axiom,
! [X0: $int] : ( f2(X0) = $product(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_12) ).
tff(f13,axiom,
g2 = $sum(1,2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_13) ).
tff(f14,axiom,
! [X0: $int] : ( h2(X0) = $sum(1,$sum(2,$product(2,$product(2,$sum(X0,X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_14) ).
tff(f15,axiom,
! [X0: $int,X1: $int] :
( ( ~ $lesseq(X0,0)
=> ( u2(X0,X1) = f2(u2($difference(X0,1),X1)) ) )
& ( $lesseq(X0,0)
=> ( u2(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_15) ).
tff(f16,axiom,
! [X0: $int] : ( v2(X0) = u2(g2,h2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_16) ).
tff(f17,axiom,
! [X0: $int] : ( fast(X0) = v2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_17) ).
tff(f18,conjecture,
~ ? [X0: $int] :
( ( small(X0) != fast(X0) )
& $greatereq(X0,0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
tff(f19,negated_conjecture,
~ ~ ? [X0: $int] :
( ( small(X0) != fast(X0) )
& $greatereq(X0,0) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
tff(f20,plain,
? [X0: $int] :
( ( small(X0) != fast(X0) )
& ~ $less(X0,0) ),
inference(theory_normalization,[],[f19]) ).
tff(f21,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(0,X0)
=> ( u2(X0,X1) = X1 ) )
& ( $less(0,X0)
=> ( u2(X0,X1) = f2(u2($sum(X0,$uminus(1)),X1)) ) ) ),
inference(theory_normalization,[],[f15]) ).
tff(f22,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X0)
=> ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) )
& ( ~ $less(0,X0)
=> ( u1(X0,X1) = X1 ) ) ),
inference(theory_normalization,[],[f6]) ).
tff(f23,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(0,X0)
=> ( u0(X0,X1) = X1 ) )
& ( $less(0,X0)
=> ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) ) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f42,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(0,X1)
=> ( u0(X1,X0) = X0 ) )
& ( $less(0,X1)
=> ( u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0)) ) ) ),
inference(rectify,[],[f23]) ).
tff(f43,plain,
! [X0: $int,X1: $int] :
( ( ( u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0)) )
| ~ $less(0,X1) )
& ( $less(0,X1)
| ( u0(X1,X0) = X0 ) ) ),
inference(ennf_transformation,[],[f42]) ).
tff(f44,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X0)
| ( u1(X0,X1) = X1 ) )
& ( ~ $less(0,X0)
| ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) ) ),
inference(ennf_transformation,[],[f22]) ).
tff(f45,plain,
! [X1: $int,X0: $int] :
( ( ( u2(X0,X1) = f2(u2($sum(X0,$uminus(1)),X1)) )
| ~ $less(0,X0) )
& ( $less(0,X0)
| ( u2(X0,X1) = X1 ) ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f46,plain,
! [X0: $int,X1: $int] :
( ( ( u2(X1,X0) = f2(u2($sum(X1,$uminus(1)),X0)) )
| ~ $less(0,X1) )
& ( $less(0,X1)
| ( u2(X1,X0) = X0 ) ) ),
inference(rectify,[],[f45]) ).
tff(f47,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X1)
| ( u1(X1,X0) = X0 ) )
& ( ~ $less(0,X1)
| ( u1(X1,X0) = f1(u1($sum(X1,$uminus(1)),X0)) ) ) ),
inference(rectify,[],[f44]) ).
tff(f48,plain,
( ( fast(sK0) != small(sK0) )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
tff(f49,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = X0 )
| $less(0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f50,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0)) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f51,plain,
! [X0: $int] : ( v1(X0) = h0(X0) ),
inference(cnf_transformation,[],[f8]) ).
tff(f52,plain,
! [X0: $int,X1: $int] :
( ( u2(X1,X0) = X0 )
| $less(0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tff(f53,plain,
! [X0: $int,X1: $int] :
( ( u2(X1,X0) = f2(u2($sum(X1,$uminus(1)),X0)) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tff(f54,plain,
! [X0: $int] : ( $product(X0,X0) = f2(X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f55,plain,
! [X0: $int] : ( v2(X0) = fast(X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f56,plain,
! [X0: $int] : ( f0(X0) = $product(X0,X0) ),
inference(cnf_transformation,[],[f1]) ).
tff(f57,plain,
2 = g1,
inference(cnf_transformation,[],[f4]) ).
tff(f58,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X1)
| ( u1(X1,X0) = f1(u1($sum(X1,$uminus(1)),X0)) ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f59,plain,
! [X0: $int,X1: $int] :
( ( u1(X1,X0) = X0 )
| $less(0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f60,plain,
! [X0: $int] : ( v0(X0) = u0(g0,h0(X0)) ),
inference(cnf_transformation,[],[f10]) ).
tff(f61,plain,
! [X0: $int] : ( $sum(X0,X0) = h1(X0) ),
inference(cnf_transformation,[],[f5]) ).
tff(f62,plain,
! [X0: $int] : ( v2(X0) = u2(g2,h2(X0)) ),
inference(cnf_transformation,[],[f16]) ).
tff(f63,plain,
! [X0: $int] : ( f1(X0) = $sum(1,$sum(X0,X0)) ),
inference(cnf_transformation,[],[f3]) ).
tff(f64,plain,
! [X0: $int] : ( v1(X0) = u1(g1,h1(X0)) ),
inference(cnf_transformation,[],[f7]) ).
tff(f65,plain,
! [X0: $int] : ( v0(X0) = small(X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f66,plain,
! [X0: $int] : ( h2(X0) = $sum(1,$sum(2,$product(2,$product(2,$sum(X0,X0))))) ),
inference(cnf_transformation,[],[f14]) ).
tff(f68,plain,
fast(sK0) != small(sK0),
inference(cnf_transformation,[],[f48]) ).
tff(f69,plain,
$sum(1,2) = g2,
inference(cnf_transformation,[],[f13]) ).
tff(f70,plain,
g0 = $sum(1,2),
inference(cnf_transformation,[],[f2]) ).
tff(f71,plain,
! [X0: $int,X1: $int] :
( ( $product(u0($sum(X1,$uminus(1)),X0),u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) )
| ~ $less(0,X1) ),
inference(definition_unfolding,[],[f50,f56]) ).
tff(f72,plain,
! [X0: $int,X1: $int] :
( ( u2(X1,X0) = $product(u2($sum(X1,$uminus(1)),X0),u2($sum(X1,$uminus(1)),X0)) )
| ~ $less(0,X1) ),
inference(definition_unfolding,[],[f53,f54]) ).
tff(f73,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X1)
| ( u1(X1,X0) = $sum(1,$sum(u1($sum(X1,$uminus(1)),X0),u1($sum(X1,$uminus(1)),X0))) ) ),
inference(definition_unfolding,[],[f58,f63]) ).
tff(f74,plain,
! [X0: $int] : ( fast(X0) = u2(g2,$sum(1,$sum(2,$product(2,$product(2,$sum(X0,X0)))))) ),
inference(definition_unfolding,[],[f62,f55,f66]) ).
tff(f75,plain,
! [X0: $int] : ( h0(X0) = u1(2,$sum(X0,X0)) ),
inference(definition_unfolding,[],[f64,f51,f57,f61]) ).
tff(f76,plain,
! [X0: $int] : ( u0(g0,h0(X0)) = small(X0) ),
inference(definition_unfolding,[],[f65,f60]) ).
tff(f78,plain,
g0 = 3,
inference(evaluation,[],[f70]) ).
tff(f79,plain,
! [X0: $int] : ( fast(X0) = u2(g2,$sum(3,8(X0))) ),
inference(evaluation,[],[f74]) ).
tff(f80,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = $product(u0($sum(-1,X1),X0),u0($sum(-1,X1),X0)) )
| ~ $less(0,X1) ),
inference(evaluation,[],[f71]) ).
tff(f81,plain,
g2 = 3,
inference(evaluation,[],[f69]) ).
tff(f82,plain,
! [X0: $int] : ( h0(X0) = u1(2,2(X0)) ),
inference(evaluation,[],[f75]) ).
tff(f83,plain,
! [X0: $int,X1: $int] :
( ( u1(X1,X0) = $sum(1,2(u1($sum(-1,X1),X0))) )
| ~ $less(0,X1) ),
inference(evaluation,[],[f73]) ).
tff(f84,plain,
! [X0: $int,X1: $int] :
( ( u2(X1,X0) = $product(u2($sum(-1,X1),X0),u2($sum(-1,X1),X0)) )
| ~ $less(0,X1) ),
inference(evaluation,[],[f72]) ).
tff(f86,definition,
( spl1_1
<=> ( g0 = 3 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f88,plain,
( ( g0 = 3 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f89,plain,
spl1_1,
inference(avatar_split_clause,[],[f78,f86]) ).
tff(f96,definition,
( spl1_3
<=> ( g2 = 3 ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f98,plain,
( ( g2 = 3 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f96]) ).
tff(f99,plain,
spl1_3,
inference(avatar_split_clause,[],[f81,f96]) ).
tff(f101,definition,
( spl1_4
<=> ( fast(sK0) = small(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f103,plain,
( ( fast(sK0) != small(sK0) )
| spl1_4 ),
inference(avatar_component_clause,[],[f101]) ).
tff(f104,plain,
~ spl1_4,
inference(avatar_split_clause,[],[f68,f101]) ).
tff(f105,plain,
( ! [X0: $int] : ( small(X0) = u0(3,h0(X0)) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f76,f88]) ).
tff(f106,plain,
( ! [X0: $int] : ( small(X0) = u0(3,u1(2,2(X0))) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f105,f82]) ).
tff(f113,plain,
( ! [X0: $int] : ( fast(X0) = u2(3,$sum(3,8(X0))) )
| ~ spl1_3 ),
inference(forward_demodulation,[],[f79,f98]) ).
tff(f119,plain,
( ( u2(3,$sum(3,8(sK0))) != small(sK0) )
| ~ spl1_3
| spl1_4 ),
inference(superposition,[],[f103,f113]) ).
tff(f120,plain,
( ( u2(3,$sum(3,8(sK0))) != u0(3,u1(2,2(sK0))) )
| ~ spl1_1
| ~ spl1_3
| spl1_4 ),
inference(forward_demodulation,[],[f119,f106]) ).
tff(f122,definition,
( spl1_5
<=> ( u2(3,$sum(3,8(sK0))) = u0(3,u1(2,2(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
tff(f124,plain,
( ( u2(3,$sum(3,8(sK0))) != u0(3,u1(2,2(sK0))) )
| spl1_5 ),
inference(avatar_component_clause,[],[f122]) ).
tff(f125,plain,
( ~ spl1_5
| ~ spl1_1
| ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f120,f101,f96,f86,f122]) ).
tff(f133,plain,
! [X0: $int,X1: $int] :
( ( u1(X1,X0) = $sum(1,2(X0)) )
| ~ $less(0,X1)
| $less(0,$sum(-1,X1)) ),
inference(superposition,[],[f83,f59]) ).
tff(f159,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,$sum(-1,X1))
| $less(0,$sum(-1,$sum(-1,X1)))
| ( u1(X1,X0) = $sum(1,2($sum(1,2(X0)))) )
| ~ $less(0,X1) ),
inference(superposition,[],[f83,f133]) ).
tff(f160,plain,
! [X0: $int,X1: $int] :
( ( u1(X1,X0) = $sum(3,4(X0)) )
| $less(0,$sum(-2,X1))
| ~ $less(0,$sum(-1,X1))
| ~ $less(0,X1) ),
inference(evaluation,[],[f159]) ).
tff(f174,plain,
! [X0: $int,X1: $int] :
( ( $product(X0,X0) = u0(X1,X0) )
| ~ $less(0,X1)
| $less(0,$sum(-1,X1)) ),
inference(superposition,[],[f80,f49]) ).
tff(f188,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,$sum(-1,X1))
| ~ $less(0,X1)
| $less(0,$sum(-1,$sum(-1,X1)))
| ( u0(X1,X0) = $product($product(X0,X0),$product(X0,X0)) ) ),
inference(superposition,[],[f80,f174]) ).
tff(f189,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = $product(X0,$product(X0,$product(X0,X0))) )
| ~ $less(0,X1)
| ~ $less(0,$sum(-1,X1))
| $less(0,$sum(-2,X1)) ),
inference(evaluation,[],[f188]) ).
tff(f196,plain,
! [X0: $int,X1: $int] :
( ( $product(X0,X0) = u2(X1,X0) )
| ~ $less(0,X1)
| $less(0,$sum(-1,X1)) ),
inference(superposition,[],[f84,f52]) ).
tff(f214,plain,
! [X0: $int,X1: $int] :
( ( u2(X1,X0) = $product($product(X0,X0),$product(X0,X0)) )
| $less(0,$sum(-1,$sum(-1,X1)))
| ~ $less(0,$sum(-1,X1))
| ~ $less(0,X1) ),
inference(superposition,[],[f84,f196]) ).
tff(f216,plain,
! [X0: $int,X1: $int] :
( ( u2(X1,X0) = $product(X0,$product(X0,$product(X0,X0))) )
| ~ $less(0,$sum(-1,X1))
| ~ $less(0,X1)
| $less(0,$sum(-2,X1)) ),
inference(evaluation,[],[f214]) ).
tff(f217,plain,
! [X0: $int] :
( ( u1(2,X0) = $sum(3,4(X0)) )
| $less(0,$sum(-2,2))
| ~ $less(0,$sum(-1,2))
| ~ $less(0,2) ),
inference(instantiation,[],[f160]) ).
tff(f218,plain,
! [X0: $int] : ( u1(2,X0) = $sum(3,4(X0)) ),
inference(interpreted_simplification,[],[f217]) ).
tff(f253,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,$sum(-1,$sum(-1,X1)))
| ~ $less(0,X1)
| ( u0(X1,X0) = $product($product(X0,$product(X0,$product(X0,X0))),$product(X0,$product(X0,$product(X0,X0)))) )
| ~ $less(0,$sum(-1,X1))
| $less(0,$sum(-2,$sum(-1,X1))) ),
inference(superposition,[],[f80,f189]) ).
tff(f255,plain,
! [X0: $int,X1: $int] :
( ( u0(X1,X0) = $product(X0,$product(X0,$product(X0,$product(X0,$product(X0,$product(X0,$product(X0,X0))))))) )
| $less(0,$sum(-3,X1))
| ~ $less(0,$sum(-1,X1))
| ~ $less(0,X1)
| ~ $less(0,$sum(-2,X1)) ),
inference(evaluation,[],[f253]) ).
tff(f271,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,$sum(-1,$sum(-1,X1)))
| ~ $less(0,X1)
| $less(0,$sum(-2,$sum(-1,X1)))
| ~ $less(0,$sum(-1,X1))
| ( u2(X1,X0) = $product($product(X0,$product(X0,$product(X0,X0))),$product(X0,$product(X0,$product(X0,X0)))) ) ),
inference(superposition,[],[f84,f216]) ).
tff(f274,plain,
! [X0: $int,X1: $int] :
( ( u2(X1,X0) = $product(X0,$product(X0,$product(X0,$product(X0,$product(X0,$product(X0,$product(X0,X0))))))) )
| ~ $less(0,$sum(-2,X1))
| ~ $less(0,X1)
| $less(0,$sum(-3,X1))
| ~ $less(0,$sum(-1,X1)) ),
inference(evaluation,[],[f271]) ).
tff(f404,plain,
! [X0: $int] :
( ( u0(3,X0) = $product(X0,$product(X0,$product(X0,$product(X0,$product(X0,$product(X0,$product(X0,X0))))))) )
| $less(0,$sum(-3,3))
| ~ $less(0,$sum(-1,3))
| ~ $less(0,3)
| ~ $less(0,$sum(-2,3)) ),
inference(instantiation,[],[f255]) ).
tff(f405,plain,
! [X0: $int] : ( u0(3,X0) = $product(X0,$product(X0,$product(X0,$product(X0,$product(X0,$product(X0,$product(X0,X0))))))) ),
inference(interpreted_simplification,[],[f404]) ).
tff(f450,plain,
( $less(0,$sum(-3,3))
| ~ $less(0,3)
| ~ $less(0,$sum(-1,3))
| ~ $less(0,$sum(-2,3))
| ( u0(3,u1(2,2(sK0))) != $product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$sum(3,8(sK0))))))))) )
| spl1_5 ),
inference(superposition,[],[f124,f274]) ).
tff(f452,plain,
( ( u0(3,u1(2,2(sK0))) != $product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$sum(3,8(sK0))))))))) )
| spl1_5 ),
inference(evaluation,[],[f450]) ).
tff(f457,plain,
( ( $product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$sum(3,8(sK0))))))))) != $product(u1(2,2(sK0)),$product(u1(2,2(sK0)),$product(u1(2,2(sK0)),$product(u1(2,2(sK0)),$product(u1(2,2(sK0)),$product(u1(2,2(sK0)),$product(u1(2,2(sK0)),u1(2,2(sK0))))))))) )
| spl1_5 ),
inference(forward_demodulation,[],[f452,f405]) ).
tff(f458,plain,
( ( $product($sum(3,4(2(sK0))),$product($sum(3,4(2(sK0))),$product($sum(3,4(2(sK0))),$product($sum(3,4(2(sK0))),$product($sum(3,4(2(sK0))),$product($sum(3,4(2(sK0))),$product($sum(3,4(2(sK0))),$sum(3,4(2(sK0)))))))))) != $product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$product($sum(3,8(sK0)),$sum(3,8(sK0))))))))) )
| spl1_5 ),
inference(forward_demodulation,[],[f457,f218]) ).
tff(f459,plain,
( $false
| spl1_5 ),
inference(evaluation,[],[f458]) ).
tff(f460,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f459]) ).
tff(f461,plain,
$false,
inference(avatar_smt_refutation,[],[f460,f125,f104,f99,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC434_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:40:26 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.45/1.18 % (3724650)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.45/1.18 % (3724659)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2366200576:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.45/1.18 % (3724659)Instruction limit reached!
% 3.45/1.18 % (3724659)------------------------------
% 3.45/1.18 % (3724659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.18 % (3724659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.18 % (3724659)CaDiCaL version: 2.1.3
% 3.45/1.18 % (3724659)Termination reason: Instruction limit
% 3.45/1.18 % (3724659)Termination phase: Saturation
% 3.45/1.18 % (3724659)Time elapsed: 0.003 s
% 3.45/1.18 % (3724659)Peak memory usage: 89 MB
% 3.45/1.18 % (3724659)Instructions burned: 7 (million)
% 3.45/1.18 % (3724655)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3992053282:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.45/1.18 % (3724656)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3575758707:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.45/1.18 % (3724657)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=158859933:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.45/1.18 % (3724660)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=447762384:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.45/1.18 % (3724658)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2983385414:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.45/1.18 % (3724661)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=519554135:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.45/1.18 % (3724658)Instruction limit reached!
% 3.45/1.18 % (3724658)------------------------------
% 3.45/1.18 % (3724658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.18 % (3724658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.18 % (3724658)CaDiCaL version: 2.1.3
% 3.45/1.18 % (3724658)Termination reason: Instruction limit
% 3.45/1.18 % (3724658)Termination phase: Saturation
% 3.45/1.18 % (3724658)Time elapsed: 0.006 s
% 3.45/1.18 % (3724658)Peak memory usage: 88 MB
% 3.45/1.18 % (3724658)Instructions burned: 9 (million)
% 3.45/1.18 % (3724655)Instruction limit reached!
% 3.45/1.18 % (3724655)------------------------------
% 3.45/1.18 % (3724655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.18 % (3724655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.18 % (3724655)CaDiCaL version: 2.1.3
% 3.45/1.18 % (3724655)Termination reason: Instruction limit
% 3.45/1.18 % (3724655)Termination phase: Saturation
% 3.45/1.18 % (3724655)Time elapsed: 0.032 s
% 3.45/1.18 % (3724655)Peak memory usage: 115 MB
% 3.45/1.18 % (3724655)Instructions burned: 13 (million)
% 3.45/1.18 % (3724663)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3984582397:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.45/1.18 % (3724661)Instruction limit reached!
% 3.45/1.18 % (3724661)------------------------------
% 3.45/1.18 % (3724661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.18 % (3724661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.18 % (3724661)CaDiCaL version: 2.1.3
% 3.45/1.18 % (3724661)Termination reason: Instruction limit
% 3.45/1.18 % (3724661)Termination phase: Saturation
% 3.45/1.18 % (3724661)Time elapsed: 0.046 s
% 3.45/1.18 % (3724661)Peak memory usage: 116 MB
% 3.45/1.18 % (3724661)Instructions burned: 34 (million)
% 3.45/1.18 % (3724663)Instruction limit reached!
% 3.45/1.18 % (3724663)------------------------------
% 3.45/1.18 % (3724663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.18 % (3724663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.18 % (3724663)CaDiCaL version: 2.1.3
% 3.45/1.18 % (3724663)Termination reason: Instruction limit
% 3.45/1.18 % (3724663)Termination phase: Saturation
% 3.45/1.18 % (3724663)Time elapsed: 0.005 s
% 3.45/1.18 % (3724663)Peak memory usage: 88 MB
% 3.45/1.18 % (3724663)Instructions burned: 15 (million)
% 3.45/1.18 % (3724660)Instruction limit reached!
% 3.45/1.18 % (3724660)------------------------------
% 3.45/1.18 % (3724660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.36 % (3724660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.36 % (3724660)CaDiCaL version: 2.1.3
% 4.57/1.36 % (3724660)Termination reason: Instruction limit
% 4.57/1.36 % (3724660)Termination phase: Saturation
% 4.57/1.36 % (3724660)Time elapsed: 0.056 s
% 4.57/1.36 % (3724660)Peak memory usage: 117 MB
% 4.57/1.36 % (3724660)Instructions burned: 47 (million)
% 4.57/1.36 % (3724656)Refutation not found, incomplete strategy
% 4.57/1.36 % (3724656)------------------------------
% 4.57/1.36 % (3724656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.36 % (3724656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.36 % (3724656)CaDiCaL version: 2.1.3
% 4.57/1.36 % (3724656)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.36 % (3724656)Time elapsed: 0.115 s
% 4.57/1.36 % (3724656)Peak memory usage: 118 MB
% 4.57/1.36 % (3724656)Instructions burned: 149 (million)
% 4.57/1.36 % (3724670)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2659163692:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.57/1.36 % (3724657)Instruction limit reached!
% 4.57/1.36 % (3724657)------------------------------
% 4.57/1.36 % (3724657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.36 % (3724657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.36 % (3724657)CaDiCaL version: 2.1.3
% 4.57/1.36 % (3724657)Termination reason: Instruction limit
% 4.57/1.36 % (3724657)Termination phase: Saturation
% 4.57/1.36 % (3724657)Time elapsed: 0.141 s
% 4.57/1.36 % (3724657)Peak memory usage: 117 MB
% 4.57/1.36 % (3724657)Instructions burned: 201 (million)
% 4.57/1.36 % (3724673)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1848601367:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.57/1.36 % (3724671)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=378928971:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.57/1.36 % (3724673)Instruction limit reached!
% 4.57/1.36 % (3724673)------------------------------
% 4.57/1.36 % (3724673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.36 % (3724673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.36 % (3724673)CaDiCaL version: 2.1.3
% 4.57/1.36 % (3724673)Termination reason: Instruction limit
% 4.57/1.36 % (3724673)Termination phase: Saturation
% 4.57/1.36 % (3724673)Time elapsed: 0.010 s
% 4.57/1.36 % (3724673)Peak memory usage: 89 MB
% 4.57/1.36 % (3724673)Instructions burned: 26 (million)
% 4.57/1.36 % (3724671)Instruction limit reached!
% 4.57/1.36 % (3724671)------------------------------
% 4.57/1.36 % (3724671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.36 % (3724671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.36 % (3724671)CaDiCaL version: 2.1.3
% 4.57/1.36 % (3724671)Termination reason: Instruction limit
% 4.57/1.36 % (3724671)Termination phase: Saturation
% 4.57/1.36 % (3724671)Time elapsed: 0.011 s
% 4.57/1.36 % (3724671)Peak memory usage: 90 MB
% 4.57/1.36 % (3724671)Instructions burned: 16 (million)
% 4.57/1.36 % (3724670)Instruction limit reached!
% 4.57/1.36 % (3724670)------------------------------
% 4.57/1.36 % (3724670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.36 % (3724670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.36 % (3724670)CaDiCaL version: 2.1.3
% 4.57/1.36 % (3724670)Termination reason: Instruction limit
% 4.57/1.36 % (3724670)Termination phase: Saturation
% 4.57/1.36 % (3724670)Time elapsed: 0.022 s
% 4.57/1.36 % (3724670)Peak memory usage: 88 MB
% 4.57/1.36 % (3724670)Instructions burned: 29 (million)
% 4.57/1.36 % (3724675)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2944002929:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.57/1.36 % (3724674)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2905897630:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.57/1.36 % (3724674)Instruction limit reached!
% 4.57/1.36 % (3724674)------------------------------
% 4.57/1.36 % (3724674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724674)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724674)Termination reason: Instruction limit
% 5.28/1.46 % (3724674)Termination phase: Saturation
% 5.28/1.46 % (3724674)Time elapsed: 0.017 s
% 5.28/1.46 % (3724674)Peak memory usage: 89 MB
% 5.28/1.46 % (3724674)Instructions burned: 28 (million)
% 5.28/1.46 % (3724675)Instruction limit reached!
% 5.28/1.46 % (3724675)------------------------------
% 5.28/1.46 % (3724675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724675)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724675)Termination reason: Instruction limit
% 5.28/1.46 % (3724675)Termination phase: Saturation
% 5.28/1.46 % (3724675)Time elapsed: 0.026 s
% 5.28/1.46 % (3724675)Peak memory usage: 89 MB
% 5.28/1.46 % (3724675)Instructions burned: 88 (million)
% 5.28/1.46 % (3724680)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=18713569:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 5.28/1.46 % (3724682)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3551335397:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.28/1.46 % (3724681)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1550686138:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.28/1.46 % (3724679)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4053813939:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 5.28/1.46 % (3724679)Instruction limit reached!
% 5.28/1.46 % (3724679)------------------------------
% 5.28/1.46 % (3724679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724679)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724679)Termination reason: Instruction limit
% 5.28/1.46 % (3724679)Termination phase: Saturation
% 5.28/1.46 % (3724679)Time elapsed: 0.002 s
% 5.28/1.46 % (3724679)Peak memory usage: 88 MB
% 5.28/1.46 % (3724679)Instructions burned: 2 (million)
% 5.28/1.46 % (3724681)Instruction limit reached!
% 5.28/1.46 % (3724681)------------------------------
% 5.28/1.46 % (3724681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724681)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724681)Termination reason: Instruction limit
% 5.28/1.46 % (3724681)Termination phase: Saturation
% 5.28/1.46 % (3724681)Time elapsed: 0.004 s
% 5.28/1.46 % (3724681)Peak memory usage: 88 MB
% 5.28/1.46 % (3724681)Instructions burned: 5 (million)
% 5.28/1.46 % (3724686)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3977311773:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.28/1.46 % (3724680)Refutation not found, incomplete strategy
% 5.28/1.46 % (3724680)------------------------------
% 5.28/1.46 % (3724680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724680)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724680)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.46 % (3724680)Time elapsed: 0.027 s
% 5.28/1.46 % (3724680)Peak memory usage: 90 MB
% 5.28/1.46 % (3724680)Instructions burned: 37 (million)
% 5.28/1.46 % (3724686)Instruction limit reached!
% 5.28/1.46 % (3724686)------------------------------
% 5.28/1.46 % (3724686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724686)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724686)Termination reason: Instruction limit
% 5.28/1.46 % (3724686)Termination phase: Saturation
% 5.28/1.46 % (3724686)Time elapsed: 0.004 s
% 5.28/1.46 % (3724686)Peak memory usage: 88 MB
% 5.28/1.46 % (3724686)Instructions burned: 10 (million)
% 5.28/1.46 % (3724656)------------------------------
% 5.28/1.46 % (3724656)------------------------------
% 5.28/1.46 % (3724685)lrs+10_1_thi=all:si=on:fd=off:random_seed=2173483478:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.28/1.46 % (3724682)First to succeed.
% 5.28/1.46 % (3724682)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3724650"
% 5.28/1.46 % (3724694)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2536582291:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 5.28/1.46 % (3724691)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3520177524:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.28/1.46 % (3724692)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=223229259:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.28/1.46 % (3724692)Instruction limit reached!
% 5.28/1.46 % (3724692)------------------------------
% 5.28/1.46 % (3724692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724692)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724692)Termination reason: Instruction limit
% 5.28/1.46 % (3724692)Termination phase: Saturation
% 5.28/1.46 % (3724692)Time elapsed: 0.002 s
% 5.28/1.46 % (3724692)Peak memory usage: 88 MB
% 5.28/1.46 % (3724692)Instructions burned: 2 (million)
% 5.28/1.46 % (3724691)Instruction limit reached!
% 5.28/1.46 % (3724691)------------------------------
% 5.28/1.46 % (3724691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724691)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724691)Termination reason: Instruction limit
% 5.28/1.46 % (3724691)Termination phase: Saturation
% 5.28/1.46 % (3724691)Time elapsed: 0.002 s
% 5.28/1.46 % (3724691)Peak memory usage: 88 MB
% 5.28/1.46 % (3724691)Instructions burned: 2 (million)
% 5.28/1.46 % (3724685)Instruction limit reached!
% 5.28/1.46 % (3724685)------------------------------
% 5.28/1.46 % (3724685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724685)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724685)Termination reason: Instruction limit
% 5.28/1.46 % (3724685)Termination phase: Saturation
% 5.28/1.46 % (3724685)Time elapsed: 0.065 s
% 5.28/1.46 % (3724685)Peak memory usage: 116 MB
% 5.28/1.46 % (3724685)Instructions burned: 53 (million)
% 5.28/1.46 % (3724694)Instruction limit reached!
% 5.28/1.46 % (3724694)------------------------------
% 5.28/1.46 % (3724694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724694)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724694)Termination reason: Instruction limit
% 5.28/1.46 % (3724694)Termination phase: Saturation
% 5.28/1.46 % (3724694)Time elapsed: 0.059 s
% 5.28/1.46 % (3724694)Peak memory usage: 116 MB
% 5.28/1.46 % (3724694)Instructions burned: 129 (million)
% 5.28/1.46 % (3724696)dis+10_1_si=on:random_seed=1517294279:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 5.28/1.46 % (3724696)Instruction limit reached!
% 5.28/1.46 % (3724696)------------------------------
% 5.28/1.46 % (3724696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724696)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724696)Termination reason: Instruction limit
% 5.28/1.46 % (3724696)Termination phase: Saturation
% 5.28/1.46 % (3724696)Time elapsed: 0.007 s
% 5.28/1.46 % (3724696)Peak memory usage: 88 MB
% 5.28/1.46 % (3724696)Instructions burned: 10 (million)
% 5.28/1.46 % (3724701)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=519425645:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 5.28/1.46 % (3724700)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3154232621:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 5.28/1.46 % (3724700)Refutation not found, incomplete strategy
% 5.28/1.46 % (3724700)------------------------------
% 5.28/1.46 % (3724700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724700)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724700)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.46 % (3724700)Time elapsed: 0.003 s
% 5.28/1.46 % (3724700)Peak memory usage: 89 MB
% 5.28/1.46 % (3724700)Instructions burned: 2 (million)
% 5.28/1.46 % (3724702)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3171070230:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 5.28/1.46 % (3724703)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1977624189:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 5.28/1.46 % (3724702)Instruction limit reached!
% 5.28/1.46 % (3724702)------------------------------
% 5.28/1.46 % (3724702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724702)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724702)Termination reason: Instruction limit
% 5.28/1.46 % (3724702)Termination phase: Saturation
% 5.28/1.46 % (3724702)Time elapsed: 0.002 s
% 5.28/1.46 % (3724702)Peak memory usage: 88 MB
% 5.28/1.46 % (3724702)Instructions burned: 2 (million)
% 5.28/1.46 % (3724680)------------------------------
% 5.28/1.46 % (3724680)------------------------------
% 5.28/1.46 % (3724703)Instruction limit reached!
% 5.28/1.46 % (3724703)------------------------------
% 5.28/1.46 % (3724703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724703)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724703)Termination reason: Instruction limit
% 5.28/1.46 % (3724703)Termination phase: Saturation
% 5.28/1.46 % (3724703)Time elapsed: 0.004 s
% 5.28/1.46 % (3724703)Peak memory usage: 89 MB
% 5.28/1.46 % (3724703)Instructions burned: 10 (million)
% 5.28/1.46 % (3724701)Instruction limit reached!
% 5.28/1.46 % (3724701)------------------------------
% 5.28/1.46 % (3724701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.46 % (3724701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.46 % (3724701)CaDiCaL version: 2.1.3
% 5.28/1.46 % (3724701)Termination reason: Instruction limit
% 5.28/1.46 % (3724701)Termination phase: Saturation
% 5.28/1.46 % (3724701)Time elapsed: 0.027 s
% 5.28/1.46 % (3724701)Peak memory usage: 89 MB
% 5.28/1.46 % (3724701)Instructions burned: 35 (million)
% 5.28/1.46 % (3724682)Refutation found. Thanks to Tanya!
% 5.28/1.46 % SZS status Theorem for theBenchmark
% 5.28/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 6.00/1.58 % (3724682)------------------------------
% 6.00/1.58 % (3724682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.58 % (3724682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.58 % (3724682)CaDiCaL version: 2.1.3
% 6.00/1.58 % (3724682)Termination reason: Refutation
% 6.00/1.58 % (3724682)Time elapsed: 0.090 s
% 6.00/1.58 % (3724682)Peak memory usage: 134 MB
% 6.00/1.58 % (3724682)Instructions burned: 56 (million)
% 6.00/1.58 % (3724682)------------------------------
% 6.00/1.58 % (3724682)------------------------------
% 6.00/1.58 % (3724650)Success in time 0.775 s
% 6.00/1.58 % Vampire exiting
%------------------------------------------------------------------------------