%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC432_1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 7.57s 1.82s
% Output : Refutation 8.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 30
% Syntax : Number of formulae : 144 ( 58 unt; 0 typ; 9 def)
% Number of atoms : 291 ( 153 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 233 ( 86 ~; 86 |; 26 &)
% ( 9 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 1089 ( 91 atm; 452 fun; 360 num; 186 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 : 14 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 30 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 186 ( 183 !; 3 ?; 186 :)
% 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,
u0: ( $int * $int ) > $int ).
tff(func_def_4,type,
w1: ( $int * $int ) > $int ).
tff(func_def_5,type,
i1: $int ).
tff(func_def_6,type,
v1: ( $int * $int * $int ) > $int ).
tff(func_def_7,type,
v2: $int > $int ).
tff(func_def_8,type,
g0: $int > $int ).
tff(func_def_9,type,
u1: ( $int * $int * $int ) > $int ).
tff(func_def_10,type,
g1: ( $int * $int ) > $int ).
tff(func_def_11,type,
h2: $int > $int ).
tff(func_def_12,type,
h1: $int ).
tff(func_def_13,type,
j1: ( $int * $int ) > $int ).
tff(func_def_14,type,
f0: ( $int * $int ) > $int ).
tff(func_def_15,type,
h0: $int ).
tff(func_def_16,type,
fast: $int > $int ).
tff(func_def_17,type,
f1: ( $int * $int ) > $int ).
tff(func_def_18,type,
small: $int > $int ).
tff(func_def_19,type,
g2: $int ).
tff(func_def_27,type,
sK0: $int ).
tff(func_def_30,type,
'$inst2': $int ).
tff(f1,axiom,
! [X0: $int,X1: $int] : ( f1(X0,X1) = $sum($product($product(X0,X1),X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).
tff(f2,axiom,
! [X1: $int,X0: $int] : ( g1(X0,X1) = $sum($sum(X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).
tff(f3,axiom,
h1 = 2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).
tff(f4,axiom,
i1 = 2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4) ).
tff(f5,axiom,
! [X1: $int,X0: $int] : ( j1(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5) ).
tff(f6,axiom,
! [X0: $int,X1: $int,X2: $int] :
( ( ~ $lesseq(X0,0)
=> ( u1(X0,X1,X2) = f1(u1($difference(X0,1),X1,X2),v1($difference(X0,1),X1,X2)) ) )
& ( $lesseq(X0,0)
=> ( u1(X0,X1,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X2: $int,X1: $int,X0: $int] :
( ( ~ $lesseq(X0,0)
=> ( v1(X0,X1,X2) = g1(u1($difference(X0,1),X1,X2),v1($difference(X0,1),X1,X2)) ) )
& ( $lesseq(X0,0)
=> ( v1(X0,X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7) ).
tff(f8,axiom,
! [X1: $int,X0: $int] : ( w1(X0,X1) = u1(h1,i1,j1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_8) ).
tff(f9,axiom,
! [X1: $int,X0: $int] : ( f0(X0,X1) = w1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_9) ).
tff(f10,axiom,
! [X0: $int] : ( g0(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_10) ).
tff(f11,axiom,
h0 = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_11) ).
tff(f12,axiom,
! [X1: $int,X0: $int] :
( ( $lesseq(X0,0)
=> ( u0(X0,X1) = X1 ) )
& ( ~ $lesseq(X0,0)
=> ( u0(X0,X1) = f0(u0($difference(X0,1),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_12) ).
tff(f13,axiom,
! [X0: $int] : ( v0(X0) = u0(g0(X0),h0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_13) ).
tff(f14,axiom,
! [X0: $int] : ( small(X0) = v0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_14) ).
tff(f15,axiom,
! [X0: $int] : ( f2(X0) = $product(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_15) ).
tff(f16,axiom,
g2 = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_16) ).
tff(f17,axiom,
! [X0: $int] : ( h2(X0) = $sum($sum(X0,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_17) ).
tff(f18,axiom,
! [X1: $int,X0: $int] :
( ( $lesseq(X0,0)
=> ( u2(X0,X1) = X1 ) )
& ( ~ $lesseq(X0,0)
=> ( u2(X0,X1) = f2(u2($difference(X0,1),X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_18) ).
tff(f19,axiom,
! [X0: $int] : ( v2(X0) = u2(g2,h2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_19) ).
tff(f20,axiom,
! [X0: $int] :
( ( ~ $lesseq(X0,0)
=> ( fast(X0) = $product($sum($product(2,v2(X0)),2),$sum($product(X0,X0),1)) ) )
& ( $lesseq(X0,0)
=> ( fast(X0) = $product($sum($product(2,v2(X0)),1),$sum($product(X0,X0),1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_20) ).
tff(f21,conjecture,
~ ? [X0: $int] :
( ( small(X0) != fast(X0) )
& $greatereq(X0,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
tff(f22,negated_conjecture,
~ ~ ? [X0: $int] :
( ( small(X0) != fast(X0) )
& $greatereq(X0,0) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
tff(f23,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ~ $less(0,X0)
=> ( u1(X0,X1,X2) = X1 ) )
& ( $less(0,X0)
=> ( u1(X0,X1,X2) = f1(u1($sum(X0,$uminus(1)),X1,X2),v1($sum(X0,$uminus(1)),X1,X2)) ) ) ),
inference(theory_normalization,[],[f6]) ).
tff(f24,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),X0) ) ) ),
inference(theory_normalization,[],[f12]) ).
tff(f25,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,[],[f18]) ).
tff(f26,plain,
! [X0: $int] :
( ( ~ $less(0,X0)
=> ( fast(X0) = $product($sum($product(2,v2(X0)),1),$sum($product(X0,X0),1)) ) )
& ( $less(0,X0)
=> ( fast(X0) = $product($sum($product(2,v2(X0)),2),$sum($product(X0,X0),1)) ) ) ),
inference(theory_normalization,[],[f20]) ).
tff(f27,plain,
! [X2: $int,X1: $int,X0: $int] :
( ( $less(0,X0)
=> ( v1(X0,X1,X2) = g1(u1($sum(X0,$uminus(1)),X1,X2),v1($sum(X0,$uminus(1)),X1,X2)) ) )
& ( ~ $less(0,X0)
=> ( v1(X0,X1,X2) = X2 ) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f28,plain,
? [X0: $int] :
( ( small(X0) != fast(X0) )
& ~ $less(X0,0) ),
inference(theory_normalization,[],[f22]) ).
tff(f29,plain,
! [X1: $int,X0: $int] : ( w1(X1,X0) = u1(h1,i1,j1(X1,X0)) ),
inference(rectify,[],[f8]) ).
tff(f30,plain,
! [X0: $int,X1: $int] : ( f0(X1,X0) = w1(X1,X0) ),
inference(rectify,[],[f9]) ).
tff(f31,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),X1) ) ) ),
inference(rectify,[],[f24]) ).
tff(f32,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(0,X1)
=> ( u2(X1,X0) = X0 ) )
& ( $less(0,X1)
=> ( f2(u2($sum(X1,$uminus(1)),X0)) = u2(X1,X0) ) ) ),
inference(rectify,[],[f25]) ).
tff(f33,plain,
! [X0: $int,X1: $int] : ( $sum($sum(X0,X0),X0) = g1(X1,X0) ),
inference(rectify,[],[f2]) ).
tff(f34,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $less(0,X2)
=> ( g1(u1($sum(X2,$uminus(1)),X1,X0),v1($sum(X2,$uminus(1)),X1,X0)) = v1(X2,X1,X0) ) )
& ( ~ $less(0,X2)
=> ( v1(X2,X1,X0) = X0 ) ) ),
inference(rectify,[],[f27]) ).
tff(f35,plain,
! [X0: $int] :
( ( ( fast(X0) = $product($sum($product(2,v2(X0)),1),$sum($product(X0,X0),1)) )
| $less(0,X0) )
& ( ( fast(X0) = $product($sum($product(2,v2(X0)),2),$sum($product(X0,X0),1)) )
| ~ $less(0,X0) ) ),
inference(ennf_transformation,[],[f26]) ).
tff(f36,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(0,X1)
| ( f2(u2($sum(X1,$uminus(1)),X0)) = u2(X1,X0) ) )
& ( ( u2(X1,X0) = X0 )
| $less(0,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
tff(f37,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X1)
| ( u0(X1,X0) = X0 ) )
& ( ~ $less(0,X1)
| ( u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0),X1) ) ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f38,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( ( u1(X0,X1,X2) = X1 )
| $less(0,X0) )
& ( ~ $less(0,X0)
| ( u1(X0,X1,X2) = f1(u1($sum(X0,$uminus(1)),X1,X2),v1($sum(X0,$uminus(1)),X1,X2)) ) ) ),
inference(ennf_transformation,[],[f23]) ).
tff(f39,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( ( g1(u1($sum(X2,$uminus(1)),X1,X0),v1($sum(X2,$uminus(1)),X1,X0)) = v1(X2,X1,X0) )
| ~ $less(0,X2) )
& ( ( v1(X2,X1,X0) = X0 )
| $less(0,X2) ) ),
inference(ennf_transformation,[],[f34]) ).
tff(f40,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ( g1(u1($sum(X1,$uminus(1)),X2,X0),v1($sum(X1,$uminus(1)),X2,X0)) = v1(X1,X2,X0) )
| ~ $less(0,X1) )
& ( ( v1(X1,X2,X0) = X0 )
| $less(0,X1) ) ),
inference(rectify,[],[f39]) ).
tff(f41,plain,
( ( small(sK0) != fast(sK0) )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f28]) ).
tff(f42,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(0,X0)
| ( u2(X0,X1) = f2(u2($sum(X0,$uminus(1)),X1)) ) )
& ( ( u2(X0,X1) = X1 )
| $less(0,X0) ) ),
inference(rectify,[],[f36]) ).
tff(f43,plain,
! [X0: $int,X1: $int] : ( w1(X0,X1) = u1(h1,i1,j1(X0,X1)) ),
inference(rectify,[],[f29]) ).
tff(f44,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ( u1(X2,X0,X1) = X0 )
| $less(0,X2) )
& ( ~ $less(0,X2)
| ( f1(u1($sum(X2,$uminus(1)),X0,X1),v1($sum(X2,$uminus(1)),X0,X1)) = u1(X2,X0,X1) ) ) ),
inference(rectify,[],[f38]) ).
tff(f45,plain,
! [X0: $int,X1: $int] : ( j1(X1,X0) = X0 ),
inference(rectify,[],[f5]) ).
tff(f46,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X0)
| ( u0(X0,X1) = X1 ) )
& ( ~ $less(0,X0)
| ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1),X0) ) ) ),
inference(rectify,[],[f37]) ).
tff(f47,plain,
! [X0: $int] : ( h2(X0) = $sum($sum(X0,X0),X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f48,plain,
! [X0: $int] : ( v2(X0) = u2(g2,h2(X0)) ),
inference(cnf_transformation,[],[f19]) ).
tff(f49,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( v1(X1,X2,X0) = X0 )
| $less(0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tff(f50,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( g1(u1($sum(X1,$uminus(1)),X2,X0),v1($sum(X1,$uminus(1)),X2,X0)) = v1(X1,X2,X0) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tff(f51,plain,
1 = g2,
inference(cnf_transformation,[],[f16]) ).
tff(f52,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f41]) ).
tff(f53,plain,
small(sK0) != fast(sK0),
inference(cnf_transformation,[],[f41]) ).
tff(f54,plain,
! [X0: $int,X1: $int] :
( ( u2(X0,X1) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f42]) ).
tff(f55,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u2(X0,X1) = f2(u2($sum(X0,$uminus(1)),X1)) ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f56,plain,
! [X0: $int,X1: $int] : ( w1(X0,X1) = u1(h1,i1,j1(X0,X1)) ),
inference(cnf_transformation,[],[f43]) ).
tff(f57,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(0,X2)
| ( f1(u1($sum(X2,$uminus(1)),X0,X1),v1($sum(X2,$uminus(1)),X0,X1)) = u1(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f58,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u1(X2,X0,X1) = X0 )
| $less(0,X2) ),
inference(cnf_transformation,[],[f44]) ).
tff(f59,plain,
2 = i1,
inference(cnf_transformation,[],[f4]) ).
tff(f60,plain,
1 = h0,
inference(cnf_transformation,[],[f11]) ).
tff(f61,plain,
! [X0: $int,X1: $int] : ( j1(X1,X0) = X0 ),
inference(cnf_transformation,[],[f45]) ).
tff(f62,plain,
! [X0: $int] : ( f2(X0) = $product(X0,X0) ),
inference(cnf_transformation,[],[f15]) ).
tff(f63,plain,
! [X0: $int,X1: $int] : ( f1(X0,X1) = $sum($product($product(X0,X1),X1),X0) ),
inference(cnf_transformation,[],[f1]) ).
tff(f64,plain,
! [X0: $int] : ( g0(X0) = X0 ),
inference(cnf_transformation,[],[f10]) ).
tff(f65,plain,
! [X0: $int] : ( v0(X0) = small(X0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f66,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1),X0) ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f67,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f46]) ).
tff(f68,plain,
! [X0: $int] : ( v0(X0) = u0(g0(X0),h0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f69,plain,
! [X0: $int,X1: $int] : ( f0(X1,X0) = w1(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
tff(f70,plain,
! [X0: $int,X1: $int] : ( $sum($sum(X0,X0),X0) = g1(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
tff(f71,plain,
! [X0: $int] :
( ( fast(X0) = $product($sum($product(2,v2(X0)),2),$sum($product(X0,X0),1)) )
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f35]) ).
tff(f72,plain,
! [X0: $int] :
( ( fast(X0) = $product($sum($product(2,v2(X0)),1),$sum($product(X0,X0),1)) )
| $less(0,X0) ),
inference(cnf_transformation,[],[f35]) ).
tff(f73,plain,
h1 = 2,
inference(cnf_transformation,[],[f3]) ).
tff(f74,plain,
! [X0: $int,X1: $int] : ( w1(X0,X1) = u1(2,2,j1(X0,X1)) ),
inference(definition_unfolding,[],[f56,f73,f59]) ).
tff(f75,plain,
! [X0: $int] : ( v2(X0) = u2(1,$sum($sum(X0,X0),X0)) ),
inference(definition_unfolding,[],[f48,f51,f47]) ).
tff(f76,plain,
! [X0: $int,X1: $int] : ( f0(X1,X0) = u1(2,2,j1(X1,X0)) ),
inference(definition_unfolding,[],[f69,f74]) ).
tff(f77,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( v1(X1,X2,X0) = $sum($sum(v1($sum(X1,$uminus(1)),X2,X0),v1($sum(X1,$uminus(1)),X2,X0)),v1($sum(X1,$uminus(1)),X2,X0)) )
| ~ $less(0,X1) ),
inference(definition_unfolding,[],[f50,f70]) ).
tff(f78,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u2(X0,X1) = $product(u2($sum(X0,$uminus(1)),X1),u2($sum(X0,$uminus(1)),X1)) ) ),
inference(definition_unfolding,[],[f55,f62]) ).
tff(f79,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u1(X2,X0,X1) = $sum($product($product(u1($sum(X2,$uminus(1)),X0,X1),v1($sum(X2,$uminus(1)),X0,X1)),v1($sum(X2,$uminus(1)),X0,X1)),u1($sum(X2,$uminus(1)),X0,X1)) )
| ~ $less(0,X2) ),
inference(definition_unfolding,[],[f57,f63]) ).
tff(f80,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = u1(2,2,j1(u0($sum(X0,$uminus(1)),X1),X0)) )
| ~ $less(0,X0) ),
inference(definition_unfolding,[],[f66,f76]) ).
tff(f81,plain,
! [X0: $int] : ( small(X0) = u0(g0(X0),1) ),
inference(definition_unfolding,[],[f68,f65,f60]) ).
tff(f82,plain,
! [X0: $int] :
( ( fast(X0) = $product($sum($product(2,u2(1,$sum($sum(X0,X0),X0))),1),$sum($product(X0,X0),1)) )
| $less(0,X0) ),
inference(definition_unfolding,[],[f72,f75]) ).
tff(f83,plain,
! [X0: $int] :
( ( fast(X0) = $product($sum($product(2,u2(1,$sum($sum(X0,X0),X0))),2),$sum($product(X0,X0),1)) )
| ~ $less(0,X0) ),
inference(definition_unfolding,[],[f71,f75]) ).
tff(f84,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum($product($product(u1($sum(X2,-1),X0,X1),v1($sum(X2,-1),X0,X1)),v1($sum(X2,-1),X0,X1)),u1($sum(X2,-1),X0,X1)) = u1(X2,X0,X1) )
| ~ $less(0,X2) ),
inference(evaluation,[],[f79]) ).
tff(f85,plain,
! [X0: $int,X1: $int] :
( ( u2(X0,X1) = $product(u2($sum(X0,-1),X1),u2($sum(X0,-1),X1)) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f78]) ).
tff(f86,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum($sum(v1($sum(X1,-1),X2,X0),v1($sum(X1,-1),X2,X0)),v1($sum(X1,-1),X2,X0)) = v1(X1,X2,X0) )
| ~ $less(0,X1) ),
inference(evaluation,[],[f77]) ).
tff(f87,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = u1(2,2,j1(u0($sum(X0,-1),X1),X0)) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f80]) ).
tff(f89,definition,
( spl1_1
<=> ( small(sK0) = fast(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f91,plain,
( ( small(sK0) != fast(sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f89]) ).
tff(f92,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f53,f89]) ).
tff(f94,definition,
( spl1_2
<=> $less(sK0,0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f97,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f52,f94]) ).
tff(f98,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = u1(2,2,X0) )
| ~ $less(0,X0) ),
inference(forward_demodulation,[],[f87,f61]) ).
tff(f99,plain,
! [X0: $int] : ( small(X0) = u0(X0,1) ),
inference(superposition,[],[f81,f64]) ).
tff(f100,plain,
! [X1: $int] :
( ( u2(0,X1) = X1 )
| $less(0,0) ),
inference(instantiation,[],[f54]) ).
tff(f101,plain,
! [X1: $int] : ( u2(0,X1) = X1 ),
inference(interpreted_simplification,[],[f100]) ).
tff(f110,plain,
! [X2: $int,X0: $int] :
( ( v1(0,X2,X0) = X0 )
| $less(0,0) ),
inference(instantiation,[],[f49]) ).
tff(f111,plain,
! [X2: $int,X0: $int] : ( v1(0,X2,X0) = X0 ),
inference(interpreted_simplification,[],[f110]) ).
tff(f112,plain,
( ( u0(sK0,1) != fast(sK0) )
| spl1_1 ),
inference(superposition,[],[f91,f99]) ).
tff(f114,definition,
( spl1_3
<=> ( u0(sK0,1) = fast(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f116,plain,
( ( u0(sK0,1) != fast(sK0) )
| spl1_3 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f117,plain,
( ~ spl1_3
| spl1_1 ),
inference(avatar_split_clause,[],[f112,f89,f114]) ).
tff(f118,plain,
! [X0: $int,X1: $int] :
( ( u1(0,X0,X1) = X0 )
| $less(0,0) ),
inference(instantiation,[],[f58]) ).
tff(f119,plain,
! [X0: $int,X1: $int] : ( u1(0,X0,X1) = X0 ),
inference(interpreted_simplification,[],[f118]) ).
tff(f134,plain,
! [X1: $int] :
( ( $product(u2($sum(1,-1),X1),u2($sum(1,-1),X1)) = u2(1,X1) )
| ~ $less(0,1) ),
inference(instantiation,[],[f85]) ).
tff(f135,plain,
! [X1: $int] : ( $product(u2($sum(1,-1),X1),u2($sum(1,-1),X1)) = u2(1,X1) ),
inference(interpreted_simplification,[],[f134]) ).
tff(f137,plain,
! [X1: $int] : ( u2(1,X1) = $product(u2(0,X1),u2(0,X1)) ),
inference(evaluation,[],[f135]) ).
tff(f138,plain,
! [X1: $int] : ( $product(X1,X1) = u2(1,X1) ),
inference(forward_demodulation,[],[f137,f101]) ).
tff(f141,plain,
( $less(0,sK0)
| ( u0(sK0,1) != $product($sum($product(2,u2(1,$sum($sum(sK0,sK0),sK0))),1),$sum($product(sK0,sK0),1)) )
| spl1_3 ),
inference(superposition,[],[f116,f82]) ).
tff(f145,plain,
( $less(0,sK0)
| ( $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),1),$sum($product(sK0,sK0),1)) != u0(sK0,1) )
| spl1_3 ),
inference(forward_demodulation,[],[f141,f138]) ).
tff(f152,definition,
( spl1_5
<=> $less(0,sK0) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
tff(f154,plain,
( $less(0,sK0)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f152]) ).
tff(f156,definition,
( spl1_6
<=> ( $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),1),$sum($product(sK0,sK0),1)) = u0(sK0,1) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
tff(f158,plain,
( ( $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),1),$sum($product(sK0,sK0),1)) != u0(sK0,1) )
| spl1_6 ),
inference(avatar_component_clause,[],[f156]) ).
tff(f159,plain,
( spl1_5
| ~ spl1_6
| spl1_3 ),
inference(avatar_split_clause,[],[f145,f114,f156,f152]) ).
tff(f161,plain,
( $less(0,sK0)
| ( 1 != $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),1),$sum($product(sK0,sK0),1)) )
| spl1_6 ),
inference(superposition,[],[f158,f67]) ).
tff(f163,definition,
( spl1_7
<=> ( 1 = $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),1),$sum($product(sK0,sK0),1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
tff(f166,plain,
( spl1_5
| ~ spl1_7
| spl1_6 ),
inference(avatar_split_clause,[],[f161,f156,f163,f152]) ).
tff(f175,plain,
( ~ $less(0,sK0)
| ( $product($sum($product(2,u2(1,$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) != u0(sK0,1) )
| spl1_3 ),
inference(superposition,[],[f116,f83]) ).
tff(f180,plain,
( ( $product($sum($product(2,u2(1,$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) != u0(sK0,1) )
| spl1_3
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f175,f154]) ).
tff(f186,plain,
( ( $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) != u0(sK0,1) )
| spl1_3
| ~ spl1_5 ),
inference(forward_demodulation,[],[f180,f138]) ).
tff(f188,definition,
( spl1_10
<=> ( $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) = u0(sK0,1) ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
tff(f190,plain,
( ( $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) != u0(sK0,1) )
| spl1_10 ),
inference(avatar_component_clause,[],[f188]) ).
tff(f191,plain,
( ~ spl1_10
| spl1_3
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f186,f152,f114,f188]) ).
tff(f194,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum($sum(X0,X0),X0) = v1(X1,X2,X0) )
| $less(0,$sum(X1,-1))
| ~ $less(0,X1) ),
inference(superposition,[],[f86,f49]) ).
tff(f197,plain,
( ( u1(2,2,sK0) != $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) )
| ~ $less(0,sK0)
| spl1_10 ),
inference(superposition,[],[f190,f98]) ).
tff(f199,plain,
( ( u1(2,2,sK0) != $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) )
| ~ spl1_5
| spl1_10 ),
inference(forward_subsumption_resolution,[],[f197,f154]) ).
tff(f201,definition,
( spl1_11
<=> ( u1(2,2,sK0) = $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
tff(f203,plain,
( ( u1(2,2,sK0) != $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) )
| spl1_11 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f204,plain,
( ~ spl1_11
| ~ spl1_5
| spl1_10 ),
inference(avatar_split_clause,[],[f199,f188,f152,f201]) ).
tff(f205,plain,
! [X0: $int,X1: $int] :
( ( $sum($product($product(u1($sum(1,-1),X0,X1),v1($sum(1,-1),X0,X1)),v1($sum(1,-1),X0,X1)),u1($sum(1,-1),X0,X1)) = u1(1,X0,X1) )
| ~ $less(0,1) ),
inference(instantiation,[],[f84]) ).
tff(f206,plain,
! [X0: $int,X1: $int] : ( $sum($product($product(u1($sum(1,-1),X0,X1),v1($sum(1,-1),X0,X1)),v1($sum(1,-1),X0,X1)),u1($sum(1,-1),X0,X1)) = u1(1,X0,X1) ),
inference(interpreted_simplification,[],[f205]) ).
tff(f209,plain,
! [X0: $int,X1: $int] : ( $sum($product($product(u1(0,X0,X1),v1(0,X0,X1)),v1(0,X0,X1)),u1(0,X0,X1)) = u1(1,X0,X1) ),
inference(evaluation,[],[f206]) ).
tff(f210,plain,
! [X0: $int,X1: $int] : ( $sum($product($product(X0,v1(0,X0,X1)),v1(0,X0,X1)),X0) = u1(1,X0,X1) ),
inference(forward_demodulation,[],[f209,f119]) ).
tff(f211,plain,
! [X0: $int,X1: $int] : ( $sum($product($product(X0,X1),X1),X0) = u1(1,X0,X1) ),
inference(forward_demodulation,[],[f210,f111]) ).
tff(f250,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum($product($product(u1($sum(X1,-1),X2,X0),$sum($sum(X0,X0),X0)),$sum($sum(X0,X0),X0)),u1($sum(X1,-1),X2,X0)) = u1(X1,X2,X0) )
| $less(0,$sum($sum(X1,-1),-1))
| ~ $less(0,$sum(X1,-1))
| ~ $less(0,X1) ),
inference(superposition,[],[f84,f194]) ).
tff(f324,plain,
! [X2: $int,X0: $int] :
( ( $sum($product($product(u1($sum(2,-1),X2,X0),$sum($sum(X0,X0),X0)),$sum($sum(X0,X0),X0)),u1($sum(2,-1),X2,X0)) = u1(2,X2,X0) )
| $less(0,$sum($sum(2,-1),-1))
| ~ $less(0,$sum(2,-1))
| ~ $less(0,2) ),
inference(instantiation,[],[f250]) ).
tff(f325,plain,
! [X2: $int,X0: $int] : ( $sum($product($product(u1($sum(2,-1),X2,X0),$sum($sum(X0,X0),X0)),$sum($sum(X0,X0),X0)),u1($sum(2,-1),X2,X0)) = u1(2,X2,X0) ),
inference(interpreted_simplification,[],[f324]) ).
tff(f331,plain,
! [X2: $int,X0: $int] : ( $sum($product($product(u1(1,X2,X0),$sum($sum(X0,X0),X0)),$sum($sum(X0,X0),X0)),u1(1,X2,X0)) = u1(2,X2,X0) ),
inference(evaluation,[],[f325]) ).
tff(f333,plain,
! [X2: $int,X0: $int] : ( $sum($product($product($sum($product($product(X2,X0),X0),X2),$sum($sum(X0,X0),X0)),$sum($sum(X0,X0),X0)),$sum($product($product(X2,X0),X0),X2)) = u1(2,X2,X0) ),
inference(forward_demodulation,[],[f331,f211]) ).
tff(f337,plain,
( ( $sum($product($product($sum($product($product(2,sK0),sK0),2),$sum($sum(sK0,sK0),sK0)),$sum($sum(sK0,sK0),sK0)),$sum($product($product(2,sK0),sK0),2)) != $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) )
| spl1_11 ),
inference(superposition,[],[f203,f333]) ).
tff(f343,definition,
( spl1_12
<=> ( $sum($product($product($sum($product($product(2,sK0),sK0),2),$sum($sum(sK0,sK0),sK0)),$sum($sum(sK0,sK0),sK0)),$sum($product($product(2,sK0),sK0),2)) = $product($sum($product(2,$product($sum($sum(sK0,sK0),sK0),$sum($sum(sK0,sK0),sK0))),2),$sum($product(sK0,sK0),1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
tff(f346,plain,
( ~ spl1_12
| spl1_11 ),
inference(avatar_split_clause,[],[f337,f201,f343]) ).
tff(f352,plain,
$false,
inference(avatar_smt_refutation,[],[f346,f204,f191,f166,f159,f117,f97,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC432_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n008.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 09:37:54 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.76/1.13 % (2126192)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.76/1.13 % (2126201)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1818861711:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.76/1.13 % (2126201)Instruction limit reached!
% 3.76/1.13 % (2126201)------------------------------
% 3.76/1.13 % (2126201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.13 % (2126201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.13 % (2126201)CaDiCaL version: 2.1.3
% 3.76/1.13 % (2126201)Termination reason: Instruction limit
% 3.76/1.13 % (2126201)Termination phase: Saturation
% 3.76/1.13 % (2126201)Time elapsed: 0.002 s
% 3.76/1.13 % (2126201)Peak memory usage: 89 MB
% 3.76/1.13 % (2126201)Instructions burned: 4 (million)
% 3.76/1.13 % (2126202)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3967414366:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.76/1.13 % (2126198)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=285374020:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.76/1.13 % (2126197)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1552447787:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.76/1.13 % (2126199)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1827842426:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.76/1.13 % (2126200)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1439370185:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.76/1.13 % (2126200)Instruction limit reached!
% 3.76/1.13 % (2126200)------------------------------
% 3.76/1.13 % (2126200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.13 % (2126200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.13 % (2126200)CaDiCaL version: 2.1.3
% 3.76/1.13 % (2126200)Termination reason: Instruction limit
% 3.76/1.13 % (2126200)Termination phase: Saturation
% 3.76/1.13 % (2126200)Time elapsed: 0.005 s
% 3.76/1.13 % (2126200)Peak memory usage: 88 MB
% 3.76/1.13 % (2126200)Instructions burned: 7 (million)
% 3.76/1.13 % (2126203)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2462912343:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.76/1.13 % (2126197)Instruction limit reached!
% 3.76/1.13 % (2126197)------------------------------
% 3.76/1.13 % (2126197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.13 % (2126197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.13 % (2126197)CaDiCaL version: 2.1.3
% 3.76/1.13 % (2126197)Termination reason: Instruction limit
% 3.76/1.13 % (2126197)Termination phase: Saturation
% 3.76/1.13 % (2126197)Time elapsed: 0.029 s
% 3.76/1.13 % (2126197)Peak memory usage: 115 MB
% 3.76/1.13 % (2126197)Instructions burned: 12 (million)
% 3.76/1.13 % (2126202)Instruction limit reached!
% 3.76/1.13 % (2126202)------------------------------
% 3.76/1.13 % (2126202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.13 % (2126202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.13 % (2126202)CaDiCaL version: 2.1.3
% 3.76/1.13 % (2126202)Termination reason: Instruction limit
% 3.76/1.13 % (2126202)Termination phase: Saturation
% 3.76/1.13 % (2126202)Time elapsed: 0.056 s
% 3.76/1.13 % (2126202)Peak memory usage: 118 MB
% 3.76/1.13 % (2126202)Instructions burned: 47 (million)
% 3.76/1.13 % (2126198)Refutation not found, incomplete strategy
% 3.76/1.13 % (2126198)------------------------------
% 3.76/1.13 % (2126198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.13 % (2126198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.13 % (2126198)CaDiCaL version: 2.1.3
% 3.76/1.13 % (2126198)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.13 % (2126198)Time elapsed: 0.054 s
% 3.76/1.13 % (2126198)Peak memory usage: 116 MB
% 3.76/1.13 % (2126198)Instructions burned: 49 (million)
% 3.76/1.13 % (2126203)Instruction limit reached!
% 3.76/1.13 % (2126203)------------------------------
% 3.76/1.13 % (2126203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.13 % (2126203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (2126203)CaDiCaL version: 2.1.3
% 4.47/1.33 % (2126203)Termination reason: Instruction limit
% 4.47/1.33 % (2126203)Termination phase: Saturation
% 4.47/1.33 % (2126203)Time elapsed: 0.045 s
% 4.47/1.33 % (2126203)Peak memory usage: 116 MB
% 4.47/1.33 % (2126203)Instructions burned: 34 (million)
% 4.47/1.33 % (2126205)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3310440741:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.47/1.33 % (2126205)Instruction limit reached!
% 4.47/1.33 % (2126205)------------------------------
% 4.47/1.33 % (2126205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (2126205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (2126205)CaDiCaL version: 2.1.3
% 4.47/1.33 % (2126205)Termination reason: Instruction limit
% 4.47/1.33 % (2126205)Termination phase: Saturation
% 4.47/1.33 % (2126205)Time elapsed: 0.005 s
% 4.47/1.33 % (2126205)Peak memory usage: 88 MB
% 4.47/1.33 % (2126205)Instructions burned: 15 (million)
% 4.47/1.33 % (2126199)Instruction limit reached!
% 4.47/1.33 % (2126199)------------------------------
% 4.47/1.33 % (2126199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (2126199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (2126199)CaDiCaL version: 2.1.3
% 4.47/1.33 % (2126199)Termination reason: Instruction limit
% 4.47/1.33 % (2126199)Termination phase: Saturation
% 4.47/1.33 % (2126199)Time elapsed: 0.137 s
% 4.47/1.33 % (2126199)Peak memory usage: 117 MB
% 4.47/1.33 % (2126199)Instructions burned: 202 (million)
% 4.47/1.33 % (2126212)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=3675384858:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.47/1.33 % (2126212)Instruction limit reached!
% 4.47/1.33 % (2126212)------------------------------
% 4.47/1.33 % (2126212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (2126212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (2126212)CaDiCaL version: 2.1.3
% 4.47/1.33 % (2126212)Termination reason: Instruction limit
% 4.47/1.33 % (2126212)Termination phase: Saturation
% 4.47/1.33 % (2126212)Time elapsed: 0.023 s
% 4.47/1.33 % (2126212)Peak memory usage: 88 MB
% 4.47/1.33 % (2126212)Instructions burned: 30 (million)
% 4.47/1.33 % (2126213)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2540844632:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.47/1.33 % (2126217)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=720803402:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.47/1.33 % (2126213)Instruction limit reached!
% 4.47/1.33 % (2126213)------------------------------
% 4.47/1.33 % (2126213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (2126213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (2126213)CaDiCaL version: 2.1.3
% 4.47/1.33 % (2126213)Termination reason: Instruction limit
% 4.47/1.33 % (2126213)Termination phase: Saturation
% 4.47/1.33 % (2126213)Time elapsed: 0.011 s
% 4.47/1.33 % (2126213)Peak memory usage: 90 MB
% 4.47/1.33 % (2126213)Instructions burned: 16 (million)
% 4.47/1.33 % (2126215)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=2028962864:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.47/1.33 % (2126214)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=88321623:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.47/1.33 % (2126217)Instruction limit reached!
% 4.47/1.33 % (2126217)------------------------------
% 4.47/1.33 % (2126217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (2126217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (2126217)CaDiCaL version: 2.1.3
% 4.47/1.33 % (2126217)Termination reason: Instruction limit
% 4.47/1.33 % (2126217)Termination phase: Saturation
% 4.47/1.33 % (2126217)Time elapsed: 0.026 s
% 4.47/1.33 % (2126217)Peak memory usage: 89 MB
% 4.47/1.33 % (2126217)Instructions burned: 87 (million)
% 4.47/1.33 % (2126215)Instruction limit reached!
% 4.47/1.33 % (2126215)------------------------------
% 4.47/1.33 % (2126215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.48 % (2126215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.48 % (2126215)CaDiCaL version: 2.1.3
% 5.48/1.48 % (2126215)Termination reason: Instruction limit
% 5.48/1.48 % (2126215)Termination phase: Saturation
% 5.48/1.48 % (2126215)Time elapsed: 0.015 s
% 5.48/1.48 % (2126215)Peak memory usage: 89 MB
% 5.48/1.48 % (2126215)Instructions burned: 28 (million)
% 5.48/1.48 % (2126214)Instruction limit reached!
% 5.48/1.48 % (2126214)------------------------------
% 5.48/1.48 % (2126214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.48 % (2126214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.48 % (2126214)CaDiCaL version: 2.1.3
% 5.48/1.48 % (2126214)Termination reason: Instruction limit
% 5.48/1.48 % (2126214)Termination phase: Saturation
% 5.48/1.48 % (2126214)Time elapsed: 0.017 s
% 5.48/1.48 % (2126214)Peak memory usage: 89 MB
% 5.48/1.48 % (2126214)Instructions burned: 24 (million)
% 5.48/1.48 % (2126219)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=884645124:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 5.48/1.48 % (2126219)Instruction limit reached!
% 5.48/1.48 % (2126219)------------------------------
% 5.48/1.48 % (2126219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.48 % (2126219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.48 % (2126219)CaDiCaL version: 2.1.3
% 5.48/1.48 % (2126219)Termination reason: Instruction limit
% 5.48/1.48 % (2126219)Termination phase: Saturation
% 5.48/1.48 % (2126219)Time elapsed: 0.002 s
% 5.48/1.48 % (2126219)Peak memory usage: 88 MB
% 5.48/1.48 % (2126219)Instructions burned: 2 (million)
% 5.48/1.48 % (2126221)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1819910707:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.48/1.48 % (2126226)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1064528155:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.48/1.48 % (2126198)------------------------------
% 5.48/1.48 % (2126198)------------------------------
% 5.48/1.48 % (2126223)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3438385352:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.48/1.48 % (2126223)Instruction limit reached!
% 5.48/1.48 % (2126223)------------------------------
% 5.48/1.48 % (2126223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.48 % (2126223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.48 % (2126223)CaDiCaL version: 2.1.3
% 5.48/1.48 % (2126223)Termination reason: Instruction limit
% 5.48/1.48 % (2126223)Termination phase: Saturation
% 5.48/1.48 % (2126223)Time elapsed: 0.003 s
% 5.48/1.48 % (2126223)Peak memory usage: 89 MB
% 5.48/1.48 % (2126223)Instructions burned: 4 (million)
% 5.48/1.48 % (2126221)Refutation not found, incomplete strategy
% 5.48/1.48 % (2126221)------------------------------
% 5.48/1.48 % (2126221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.48 % (2126221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.48 % (2126221)CaDiCaL version: 2.1.3
% 5.48/1.48 % (2126221)Termination reason: Refutation not found, incomplete strategy
% 5.48/1.48 % (2126221)Time elapsed: 0.028 s
% 5.48/1.48 % (2126221)Peak memory usage: 90 MB
% 5.48/1.48 % (2126221)Instructions burned: 39 (million)
% 5.48/1.48 % (2126227)lrs+10_1_thi=all:si=on:fd=off:random_seed=196616474:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.48/1.48 % (2126228)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=2570293675:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.48/1.48 % (2126228)Instruction limit reached!
% 5.48/1.48 % (2126228)------------------------------
% 5.48/1.48 % (2126228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.48 % (2126228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.48 % (2126228)CaDiCaL version: 2.1.3
% 5.48/1.48 % (2126228)Termination reason: Instruction limit
% 5.48/1.48 % (2126228)Termination phase: Saturation
% 5.48/1.48 % (2126228)Time elapsed: 0.006 s
% 5.48/1.48 % (2126228)Peak memory usage: 88 MB
% 5.48/1.48 % (2126228)Instructions burned: 8 (million)
% 6.44/1.71 % (2126226)Instruction limit reached!
% 6.44/1.71 % (2126226)------------------------------
% 6.44/1.71 % (2126226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.71 % (2126226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.71 % (2126226)CaDiCaL version: 2.1.3
% 6.44/1.71 % (2126226)Termination reason: Instruction limit
% 6.44/1.71 % (2126226)Termination phase: Saturation
% 6.44/1.71 % (2126226)Time elapsed: 0.054 s
% 6.44/1.71 % (2126226)Peak memory usage: 135 MB
% 6.44/1.71 % (2126226)Instructions burned: 67 (million)
% 6.44/1.71 % (2126227)Instruction limit reached!
% 6.44/1.71 % (2126227)------------------------------
% 6.44/1.71 % (2126227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.71 % (2126227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.71 % (2126227)CaDiCaL version: 2.1.3
% 6.44/1.71 % (2126227)Termination reason: Instruction limit
% 6.44/1.71 % (2126227)Termination phase: Saturation
% 6.44/1.71 % (2126227)Time elapsed: 0.064 s
% 6.44/1.71 % (2126227)Peak memory usage: 116 MB
% 6.44/1.72 % (2126227)Instructions burned: 54 (million)
% 6.44/1.72 % (2126230)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3991523455:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 6.44/1.72 % (2126230)Instruction limit reached!
% 6.44/1.72 % (2126230)------------------------------
% 6.44/1.72 % (2126230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.72 % (2126230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.72 % (2126230)CaDiCaL version: 2.1.3
% 6.44/1.72 % (2126230)Termination reason: Instruction limit
% 6.44/1.72 % (2126230)Termination phase: Saturation
% 6.44/1.72 % (2126230)Time elapsed: 0.003 s
% 6.44/1.72 % (2126230)Peak memory usage: 88 MB
% 6.44/1.72 % (2126230)Instructions burned: 4 (million)
% 6.44/1.72 % (2126235)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1724799696:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 6.44/1.72 % (2126234)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3612035261:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.44/1.72 % (2126234)Instruction limit reached!
% 6.44/1.72 % (2126234)------------------------------
% 6.44/1.72 % (2126234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.72 % (2126234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.72 % (2126234)CaDiCaL version: 2.1.3
% 6.44/1.72 % (2126234)Termination reason: Instruction limit
% 6.44/1.72 % (2126234)Termination phase: Saturation
% 6.44/1.72 % (2126234)Time elapsed: 0.002 s
% 6.44/1.72 % (2126234)Peak memory usage: 88 MB
% 6.44/1.72 % (2126234)Instructions burned: 2 (million)
% 6.44/1.72 % (2126239)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1563309623:i=26:canc=cautious:av=off:rtra=on_2995 on theBenchmark for (2995ds/26Mi)
% 6.44/1.72 % (2126239)Refutation not found, incomplete strategy
% 6.44/1.72 % (2126239)------------------------------
% 6.44/1.72 % (2126239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.72 % (2126239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.72 % (2126239)CaDiCaL version: 2.1.3
% 6.44/1.72 % (2126239)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.72 % (2126239)Time elapsed: 0.001 s
% 6.44/1.72 % (2126239)Peak memory usage: 89 MB
% 6.44/1.72 % (2126239)Instructions burned: 3 (million)
% 6.44/1.72 % (2126238)dis+10_1_si=on:random_seed=403276044:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 6.44/1.72 % (2126238)Instruction limit reached!
% 6.44/1.72 % (2126238)------------------------------
% 6.44/1.72 % (2126238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.72 % (2126238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.72 % (2126238)CaDiCaL version: 2.1.3
% 6.44/1.72 % (2126238)Termination reason: Instruction limit
% 6.44/1.72 % (2126238)Termination phase: Saturation
% 6.44/1.72 % (2126238)Time elapsed: 0.007 s
% 6.44/1.72 % (2126238)Peak memory usage: 88 MB
% 6.44/1.72 % (2126238)Instructions burned: 11 (million)
% 6.44/1.72 % (2126235)Instruction limit reached!
% 6.44/1.72 % (2126235)------------------------------
% 6.44/1.72 % (2126235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.72 % (2126235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126235)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126235)Termination reason: Instruction limit
% 7.57/1.82 % (2126235)Termination phase: Saturation
% 7.57/1.82 % (2126235)Time elapsed: 0.104 s
% 7.57/1.82 % (2126235)Peak memory usage: 118 MB
% 7.57/1.82 % (2126235)Instructions burned: 128 (million)
% 7.57/1.82 % (2126241)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=171573575: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)
% 7.57/1.82 % (2126221)------------------------------
% 7.57/1.82 % (2126221)------------------------------
% 7.57/1.82 % (2126242)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=311572880:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 7.57/1.82 % (2126242)Instruction limit reached!
% 7.57/1.82 % (2126242)------------------------------
% 7.57/1.82 % (2126242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126242)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126242)Termination reason: Instruction limit
% 7.57/1.82 % (2126242)Termination phase: Saturation
% 7.57/1.82 % (2126242)Time elapsed: 0.002 s
% 7.57/1.82 % (2126242)Peak memory usage: 88 MB
% 7.57/1.82 % (2126242)Instructions burned: 2 (million)
% 7.57/1.82 % (2126246)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3795464451:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 7.57/1.82 % (2126246)Instruction limit reached!
% 7.57/1.82 % (2126246)------------------------------
% 7.57/1.82 % (2126246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126246)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126246)Termination reason: Instruction limit
% 7.57/1.82 % (2126246)Termination phase: Saturation
% 7.57/1.82 % (2126246)Time elapsed: 0.006 s
% 7.57/1.82 % (2126246)Peak memory usage: 88 MB
% 7.57/1.82 % (2126246)Instructions burned: 8 (million)
% 7.57/1.82 % (2126241)Instruction limit reached!
% 7.57/1.82 % (2126241)------------------------------
% 7.57/1.82 % (2126241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126241)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126241)Termination reason: Instruction limit
% 7.57/1.82 % (2126241)Termination phase: Saturation
% 7.57/1.82 % (2126241)Time elapsed: 0.027 s
% 7.57/1.82 % (2126241)Peak memory usage: 89 MB
% 7.57/1.82 % (2126241)Instructions burned: 35 (million)
% 7.57/1.82 % (2126239)------------------------------
% 7.57/1.82 % (2126239)------------------------------
% 7.57/1.82 % (2126248)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3029385890:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 7.57/1.82 % (2126250)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2946801420:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 7.57/1.82 % (2126254)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2941402774:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 7.57/1.82 % (2126258)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=373948745:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 7.57/1.82 % (2126254)Instruction limit reached!
% 7.57/1.82 % (2126254)------------------------------
% 7.57/1.82 % (2126254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126254)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126254)Termination reason: Instruction limit
% 7.57/1.82 % (2126254)Termination phase: Saturation
% 7.57/1.82 % (2126254)Time elapsed: 0.007 s
% 7.57/1.82 % (2126254)Peak memory usage: 88 MB
% 7.57/1.82 % (2126254)Instructions burned: 10 (million)
% 7.57/1.82 % (2126255)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2225844127:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 7.57/1.82 % (2126252)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3924620322:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 7.57/1.82 % (2126250)Instruction limit reached!
% 7.57/1.82 % (2126250)------------------------------
% 7.57/1.82 % (2126250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126250)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126250)Termination reason: Instruction limit
% 7.57/1.82 % (2126250)Termination phase: Saturation
% 7.57/1.82 % (2126250)Time elapsed: 0.031 s
% 7.57/1.82 % (2126250)Peak memory usage: 116 MB
% 7.57/1.82 % (2126250)Instructions burned: 13 (million)
% 7.57/1.82 % (2126256)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=344011644:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 7.57/1.82 % (2126252)Refutation not found, incomplete strategy
% 7.57/1.82 % (2126252)------------------------------
% 7.57/1.82 % (2126252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126252)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126252)Termination reason: Refutation not found, incomplete strategy
% 7.57/1.82 % (2126252)Time elapsed: 0.029 s
% 7.57/1.82 % (2126252)Peak memory usage: 116 MB
% 7.57/1.82 % (2126252)Instructions burned: 7 (million)
% 7.57/1.82 % (2126256)Instruction limit reached!
% 7.57/1.82 % (2126256)------------------------------
% 7.57/1.82 % (2126256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126256)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126256)Termination reason: Instruction limit
% 7.57/1.82 % (2126256)Termination phase: Saturation
% 7.57/1.82 % (2126256)Time elapsed: 0.047 s
% 7.57/1.82 % (2126256)Peak memory usage: 90 MB
% 7.57/1.82 % (2126256)Instructions burned: 76 (million)
% 7.57/1.82 % (2126255)First to succeed.
% 7.57/1.82 % (2126255)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2126192"
% 7.57/1.82 % (2126248)Instruction limit reached!
% 7.57/1.82 % (2126248)------------------------------
% 7.57/1.82 % (2126248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126248)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126248)Termination reason: Instruction limit
% 7.57/1.82 % (2126248)Termination phase: Saturation
% 7.57/1.82 % (2126248)Time elapsed: 0.180 s
% 7.57/1.82 % (2126248)Peak memory usage: 91 MB
% 7.57/1.82 % (2126248)Instructions burned: 371 (million)
% 7.57/1.82 % (2126258)Instruction limit reached!
% 7.57/1.82 % (2126258)------------------------------
% 7.57/1.82 % (2126258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126258)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126258)Termination reason: Instruction limit
% 7.57/1.82 % (2126258)Termination phase: Saturation
% 7.57/1.82 % (2126258)Time elapsed: 0.104 s
% 7.57/1.82 % (2126258)Peak memory usage: 90 MB
% 7.57/1.82 % (2126258)Instructions burned: 295 (million)
% 7.57/1.82 % (2126264)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1249245453:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 7.57/1.82 % (2126265)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=519953754:i=131:rtra=on_2991 on theBenchmark for (2991ds/131Mi)
% 7.57/1.82 % (2126269)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3287949696:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 7.57/1.82 % (2126267)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2545214648:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 7.57/1.82 % (2126268)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1254939289:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 7.57/1.82 % (2126264)Instruction limit reached!
% 7.57/1.82 % (2126264)------------------------------
% 7.57/1.82 % (2126264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126264)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126264)Termination reason: Instruction limit
% 7.57/1.82 % (2126264)Termination phase: Saturation
% 7.57/1.82 % (2126264)Time elapsed: 0.102 s
% 7.57/1.82 % (2126264)Peak memory usage: 117 MB
% 7.57/1.82 % (2126264)Instructions burned: 130 (million)
% 7.57/1.82 % (2126267)Instruction limit reached!
% 7.57/1.82 % (2126267)------------------------------
% 7.57/1.82 % (2126267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126267)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126267)Termination reason: Instruction limit
% 7.57/1.82 % (2126267)Termination phase: Saturation
% 7.57/1.82 % (2126267)Time elapsed: 0.069 s
% 7.57/1.82 % (2126267)Peak memory usage: 133 MB
% 7.57/1.82 % (2126267)Instructions burned: 42 (million)
% 7.57/1.82 % (2126265)Instruction limit reached!
% 7.57/1.82 % (2126265)------------------------------
% 7.57/1.82 % (2126265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/1.82 % (2126265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.82 % (2126265)CaDiCaL version: 2.1.3
% 7.57/1.82 % (2126265)Termination reason: Instruction limit
% 7.57/1.82 % (2126265)Termination phase: Saturation
% 7.57/1.82 % (2126265)Time elapsed: 0.119 s
% 7.57/1.82 % (2126265)Peak memory usage: 133 MB
% 7.57/1.82 % (2126265)Instructions burned: 132 (million)
% 7.57/1.82 % (2126252)------------------------------
% 7.57/1.82 % (2126252)------------------------------
% 7.57/1.82 % (2126255)Refutation found. Thanks to Tanya!
% 7.57/1.82 % SZS status Theorem for theBenchmark
% 7.57/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 8.86/1.95 % (2126255)------------------------------
% 8.86/1.95 % (2126255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/1.95 % (2126255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.95 % (2126255)CaDiCaL version: 2.1.3
% 8.86/1.95 % (2126255)Termination reason: Refutation
% 8.86/1.95 % (2126255)Time elapsed: 0.086 s
% 8.86/1.95 % (2126255)Peak memory usage: 135 MB
% 8.86/1.95 % (2126255)Instructions burned: 56 (million)
% 8.86/1.95 % (2126255)------------------------------
% 8.86/1.95 % (2126255)------------------------------
% 8.86/1.95 % (2126192)Success in time 1.179 s
% 8.86/1.95 % Vampire exiting
%------------------------------------------------------------------------------