%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC478_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 : n003.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 01:04:00 PM UTC 2026
% Result : Theorem 9.93s 2.36s
% Output : Refutation 11.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 99 ( 50 unt; 0 typ; 3 def)
% Number of atoms : 177 ( 108 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 128 ( 50 ~; 42 |; 17 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 809 ( 52 atm; 291 fun; 327 num; 139 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 : 8 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 31 ( 17 usr; 13 con; 0-3 aty)
% Number of variables : 139 ( 136 !; 3 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
v0: ( $int * $int * $int ) > $int ).
tff(func_def_1,type,
u1: ( $int * $int ) > $int ).
tff(func_def_2,type,
j0: $int > $int ).
tff(func_def_3,type,
w0: $int > $int ).
tff(func_def_4,type,
v1: $int > $int ).
tff(func_def_5,type,
i0: $int ).
tff(func_def_6,type,
h1: $int > $int ).
tff(func_def_7,type,
u0: ( $int * $int * $int ) > $int ).
tff(func_def_8,type,
f0: ( $int * $int ) > $int ).
tff(func_def_9,type,
h0: $int ).
tff(func_def_10,type,
g1: $int ).
tff(func_def_11,type,
fast: $int > $int ).
tff(func_def_12,type,
g0: $int ).
tff(func_def_13,type,
small: $int > $int ).
tff(func_def_14,type,
f1: $int > $int ).
tff(func_def_22,type,
sK0: $int ).
tff(func_def_24,type,
3: $int > $int ).
tff(func_def_26,type,
-1: $int > $int ).
tff(func_def_28,type,
'$inst2': $int ).
tff(func_def_33,type,
-3: $int > $int ).
tff(f1,axiom,
! [X1: $int,X0: $int] : ( f0(X0,X1) = $product($sum(2,X0),$product($sum(X0,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).
tff(f2,axiom,
g0 = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).
tff(f3,axiom,
h0 = 2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).
tff(f4,axiom,
i0 = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4) ).
tff(f5,axiom,
! [X0: $int] : ( j0(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5) ).
tff(f6,axiom,
! [X2: $int,X0: $int,X1: $int] :
( ( $lesseq(X0,0)
=> ( u0(X0,X1,X2) = X1 ) )
& ( ~ $lesseq(X0,0)
=> ( u0(X0,X1,X2) = f0(u0($difference(X0,1),X1,X2),v0($difference(X0,1),X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X1: $int,X2: $int,X0: $int] :
( ( $lesseq(X0,0)
=> ( v0(X0,X1,X2) = X2 ) )
& ( ~ $lesseq(X0,0)
=> ( v0(X0,X1,X2) = g0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7) ).
tff(f8,axiom,
! [X0: $int] : ( w0(X0) = u0(h0,i0,j0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_8) ).
tff(f9,axiom,
! [X0: $int] : ( small(X0) = w0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_9) ).
tff(f10,axiom,
! [X0: $int] : ( f1(X0) = $difference($product($product(X0,X0),X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_10) ).
tff(f11,axiom,
g1 = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_11) ).
tff(f12,axiom,
! [X0: $int] : ( h1(X0) = $sum($product(2,$sum(2,X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_12) ).
tff(f13,axiom,
! [X0: $int,X1: $int] :
( ( ~ $lesseq(X0,0)
=> ( u1(X0,X1) = f1(u1($difference(X0,1),X1)) ) )
& ( $lesseq(X0,0)
=> ( u1(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_13) ).
tff(f14,axiom,
! [X0: $int] : ( v1(X0) = u1(g1,h1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_14) ).
tff(f15,axiom,
! [X0: $int] : ( fast(X0) = v1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_15) ).
tff(f16,conjecture,
~ ? [X0: $int] :
( $greatereq(X0,0)
& ( small(X0) != fast(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
tff(f17,negated_conjecture,
~ ~ ? [X0: $int] :
( $greatereq(X0,0)
& ( small(X0) != fast(X0) ) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
tff(f18,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( ~ $less(0,X0)
=> ( v0(X0,X1,X2) = X2 ) )
& ( $less(0,X0)
=> ( v0(X0,X1,X2) = g0 ) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f19,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(0,X0)
=> ( u1(X0,X1) = X1 ) )
& ( $less(0,X0)
=> ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) ) ),
inference(theory_normalization,[],[f13]) ).
tff(f20,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ~ $less(0,X0)
=> ( u0(X0,X1,X2) = X1 ) )
& ( $less(0,X0)
=> ( u0(X0,X1,X2) = f0(u0($sum(X0,$uminus(1)),X1,X2),v0($sum(X0,$uminus(1)),X1,X2)) ) ) ),
inference(theory_normalization,[],[f6]) ).
tff(f21,plain,
? [X0: $int] :
( ~ $less(X0,0)
& ( small(X0) != fast(X0) ) ),
inference(theory_normalization,[],[f17]) ).
tff(f22,plain,
! [X0: $int] : ( f1(X0) = $sum($product($product(X0,X0),X0),$uminus(X0)) ),
inference(theory_normalization,[],[f10]) ).
tff(f41,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
=> ( g0 = v0(X2,X0,X1) ) )
& ( ~ $less(0,X2)
=> ( v0(X2,X0,X1) = X1 ) ) ),
inference(rectify,[],[f18]) ).
tff(f42,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ~ $less(0,X1)
=> ( u0(X1,X2,X0) = X2 ) )
& ( $less(0,X1)
=> ( f0(u0($sum(X1,$uminus(1)),X2,X0),v0($sum(X1,$uminus(1)),X2,X0)) = u0(X1,X2,X0) ) ) ),
inference(rectify,[],[f20]) ).
tff(f43,plain,
! [X1: $int,X0: $int] : ( $product($sum(2,X1),$product($sum(X1,X0),X1)) = f0(X1,X0) ),
inference(rectify,[],[f1]) ).
tff(f44,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( $less(0,X2)
| ( v0(X2,X0,X1) = X1 ) )
& ( ( g0 = v0(X2,X0,X1) )
| ~ $less(0,X2) ) ),
inference(ennf_transformation,[],[f41]) ).
tff(f45,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( ~ $less(0,X1)
| ( f0(u0($sum(X1,$uminus(1)),X2,X0),v0($sum(X1,$uminus(1)),X2,X0)) = u0(X1,X2,X0) ) )
& ( $less(0,X1)
| ( u0(X1,X2,X0) = X2 ) ) ),
inference(ennf_transformation,[],[f42]) ).
tff(f46,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(ennf_transformation,[],[f19]) ).
tff(f47,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ~ $less(0,X2)
| ( f0(u0($sum(X2,$uminus(1)),X1,X0),v0($sum(X2,$uminus(1)),X1,X0)) = u0(X2,X1,X0) ) )
& ( $less(0,X2)
| ( u0(X2,X1,X0) = X1 ) ) ),
inference(rectify,[],[f45]) ).
tff(f48,plain,
( ~ $less(sK0,0)
& ( fast(sK0) != small(sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
tff(f49,plain,
! [X0: $int,X1: $int] : ( f0(X0,X1) = $product($sum(2,X0),$product($sum(X0,X1),X0)) ),
inference(rectify,[],[f43]) ).
tff(f50,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X1)
| ( v0(X1,X0,X2) = X2 ) )
& ( ( g0 = v0(X1,X0,X2) )
| ~ $less(0,X1) ) ),
inference(rectify,[],[f44]) ).
tff(f51,plain,
! [X0: $int] : ( f1(X0) = $sum($product($product(X0,X0),X0),$uminus(X0)) ),
inference(cnf_transformation,[],[f22]) ).
tff(f52,plain,
! [X0: $int] : ( v1(X0) = fast(X0) ),
inference(cnf_transformation,[],[f15]) ).
tff(f53,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u0(X2,X1,X0) = X1 )
| $less(0,X2) ),
inference(cnf_transformation,[],[f47]) ).
tff(f54,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(0,X2)
| ( f0(u0($sum(X2,$uminus(1)),X1,X0),v0($sum(X2,$uminus(1)),X1,X0)) = u0(X2,X1,X0) ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f55,plain,
! [X0: $int] : ( w0(X0) = small(X0) ),
inference(cnf_transformation,[],[f9]) ).
tff(f56,plain,
fast(sK0) != small(sK0),
inference(cnf_transformation,[],[f48]) ).
tff(f58,plain,
! [X0: $int] : ( w0(X0) = u0(h0,i0,j0(X0)) ),
inference(cnf_transformation,[],[f8]) ).
tff(f59,plain,
! [X0: $int] : ( v1(X0) = u1(g1,h1(X0)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f60,plain,
2 = h0,
inference(cnf_transformation,[],[f3]) ).
tff(f61,plain,
! [X0: $int,X1: $int] : ( f0(X0,X1) = $product($sum(2,X0),$product($sum(X0,X1),X0)) ),
inference(cnf_transformation,[],[f49]) ).
tff(f62,plain,
! [X0: $int] : ( h1(X0) = $sum($product(2,$sum(2,X0)),X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f63,plain,
! [X0: $int,X1: $int] :
( ( u1(X0,X1) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f46]) ).
tff(f64,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f65,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( g0 = v0(X1,X0,X2) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tff(f66,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( v0(X1,X0,X2) = X2 )
| $less(0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tff(f67,plain,
! [X0: $int] : ( j0(X0) = X0 ),
inference(cnf_transformation,[],[f5]) ).
tff(f68,plain,
g0 = 1,
inference(cnf_transformation,[],[f2]) ).
tff(f69,plain,
1 = i0,
inference(cnf_transformation,[],[f4]) ).
tff(f70,plain,
1 = g1,
inference(cnf_transformation,[],[f11]) ).
tff(f71,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u0(X2,X1,X0) = $product($sum(2,u0($sum(X2,$uminus(1)),X1,X0)),$product($sum(u0($sum(X2,$uminus(1)),X1,X0),v0($sum(X2,$uminus(1)),X1,X0)),u0($sum(X2,$uminus(1)),X1,X0))) )
| ~ $less(0,X2) ),
inference(definition_unfolding,[],[f54,f61]) ).
tff(f72,plain,
! [X0: $int] : ( small(X0) = u0(2,1,j0(X0)) ),
inference(definition_unfolding,[],[f58,f55,f60,f69]) ).
tff(f73,plain,
! [X0: $int] : ( fast(X0) = u1(1,$sum($product(2,$sum(2,X0)),X0)) ),
inference(definition_unfolding,[],[f59,f52,f70,f62]) ).
tff(f74,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u1(X0,X1) = $sum($product($product(u1($sum(X0,$uminus(1)),X1),u1($sum(X0,$uminus(1)),X1)),u1($sum(X0,$uminus(1)),X1)),$uminus(u1($sum(X0,$uminus(1)),X1))) ) ),
inference(definition_unfolding,[],[f64,f51]) ).
tff(f75,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( 1 = v0(X1,X0,X2) )
| ~ $less(0,X1) ),
inference(definition_unfolding,[],[f65,f68]) ).
tff(f77,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $product(u0($sum(X2,-1),X1,X0),$product($sum(u0($sum(X2,-1),X1,X0),v0($sum(X2,-1),X1,X0)),$sum(2,u0($sum(X2,-1),X1,X0)))) = u0(X2,X1,X0) )
| ~ $less(0,X2) ),
inference(evaluation,[],[f71]) ).
tff(f78,plain,
! [X0: $int] : ( fast(X0) = u1(1,$sum(4,3(X0))) ),
inference(evaluation,[],[f73]) ).
tff(f79,plain,
! [X0: $int,X1: $int] :
( ( u1(X0,X1) = $sum($product(u1($sum(-1,X0),X1),$product(u1($sum(-1,X0),X1),u1($sum(-1,X0),X1))),-1(u1($sum(-1,X0),X1))) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f74]) ).
tff(f81,definition,
( spl1_1
<=> ( fast(sK0) = small(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f83,plain,
( ( fast(sK0) != small(sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f84,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f56,f81]) ).
tff(f90,plain,
! [X1: $int] :
( ( u1(0,X1) = X1 )
| $less(0,0) ),
inference(instantiation,[],[f63]) ).
tff(f91,plain,
! [X1: $int] : ( u1(0,X1) = X1 ),
inference(interpreted_simplification,[],[f90]) ).
tff(f92,plain,
! [X0: $int] : ( small(X0) = u0(2,1,X0) ),
inference(forward_demodulation,[],[f72,f67]) ).
tff(f93,plain,
! [X0: $int,X1: $int] :
( ( u0(0,X1,X0) = X1 )
| $less(0,0) ),
inference(instantiation,[],[f53]) ).
tff(f94,plain,
! [X0: $int,X1: $int] : ( u0(0,X1,X0) = X1 ),
inference(interpreted_simplification,[],[f93]) ).
tff(f100,plain,
! [X2: $int,X0: $int] :
( ( v0(0,X0,X2) = X2 )
| $less(0,0) ),
inference(instantiation,[],[f66]) ).
tff(f101,plain,
! [X2: $int,X0: $int] : ( v0(0,X0,X2) = X2 ),
inference(interpreted_simplification,[],[f100]) ).
tff(f109,plain,
( ( small(sK0) != u1(1,$sum(4,3(sK0))) )
| spl1_1 ),
inference(superposition,[],[f83,f78]) ).
tff(f110,plain,
( ( u0(2,1,sK0) != u1(1,$sum(4,3(sK0))) )
| spl1_1 ),
inference(forward_demodulation,[],[f109,f92]) ).
tff(f112,definition,
( spl1_3
<=> ( u0(2,1,sK0) = u1(1,$sum(4,3(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f114,plain,
( ( u0(2,1,sK0) != u1(1,$sum(4,3(sK0))) )
| spl1_3 ),
inference(avatar_component_clause,[],[f112]) ).
tff(f115,plain,
( ~ spl1_3
| spl1_1 ),
inference(avatar_split_clause,[],[f110,f81,f112]) ).
tff(f117,plain,
! [X1: $int] :
( ( u1(1,X1) = $sum($product(u1($sum(-1,1),X1),$product(u1($sum(-1,1),X1),u1($sum(-1,1),X1))),-1(u1($sum(-1,1),X1))) )
| ~ $less(0,1) ),
inference(instantiation,[],[f79]) ).
tff(f118,plain,
! [X1: $int] : ( u1(1,X1) = $sum($product(u1($sum(-1,1),X1),$product(u1($sum(-1,1),X1),u1($sum(-1,1),X1))),-1(u1($sum(-1,1),X1))) ),
inference(interpreted_simplification,[],[f117]) ).
tff(f126,plain,
! [X1: $int] : ( u1(1,X1) = $sum(-1(u1(0,X1)),$product(u1(0,X1),$product(u1(0,X1),u1(0,X1)))) ),
inference(evaluation,[],[f118]) ).
tff(f131,plain,
! [X1: $int] : ( u1(1,X1) = $sum(-1(X1),$product(X1,$product(X1,X1))) ),
inference(forward_demodulation,[],[f126,f91]) ).
tff(f159,plain,
! [X0: $int,X1: $int] :
( ( $product(u0($sum(1,-1),X1,X0),$product($sum(u0($sum(1,-1),X1,X0),v0($sum(1,-1),X1,X0)),$sum(2,u0($sum(1,-1),X1,X0)))) = u0(1,X1,X0) )
| ~ $less(0,1) ),
inference(instantiation,[],[f77]) ).
tff(f160,plain,
! [X0: $int,X1: $int] : ( $product(u0($sum(1,-1),X1,X0),$product($sum(u0($sum(1,-1),X1,X0),v0($sum(1,-1),X1,X0)),$sum(2,u0($sum(1,-1),X1,X0)))) = u0(1,X1,X0) ),
inference(interpreted_simplification,[],[f159]) ).
tff(f161,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(0,X2)
| ~ $less(0,$sum(X2,-1))
| ( u0(X2,X1,X0) = $product(u0($sum(X2,-1),X1,X0),$product($sum(u0($sum(X2,-1),X1,X0),1),$sum(2,u0($sum(X2,-1),X1,X0)))) ) ),
inference(superposition,[],[f77,f75]) ).
tff(f167,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u0(X2,X1,X0) = $product(u0($sum(X2,-1),X1,X0),$product($sum(2,u0($sum(X2,-1),X1,X0)),$sum(1,u0($sum(X2,-1),X1,X0)))) )
| ~ $less(0,X2)
| ~ $less(0,$sum(X2,-1)) ),
inference(evaluation,[],[f161]) ).
tff(f171,plain,
! [X0: $int,X1: $int] : ( $product(u0(0,X1,X0),$product($sum(u0(0,X1,X0),v0(0,X1,X0)),$sum(2,u0(0,X1,X0)))) = u0(1,X1,X0) ),
inference(evaluation,[],[f160]) ).
tff(f172,plain,
! [X0: $int,X1: $int] : ( $product(X1,$product($sum(X1,v0(0,X1,X0)),$sum(2,X1))) = u0(1,X1,X0) ),
inference(forward_demodulation,[],[f171,f94]) ).
tff(f173,plain,
! [X0: $int,X1: $int] : ( u0(1,X1,X0) = $product(X1,$product($sum(2,X1),$sum(X1,v0(0,X1,X0)))) ),
inference(evaluation,[],[f172]) ).
tff(f174,plain,
! [X0: $int,X1: $int] : ( $product(X1,$product($sum(2,X1),$sum(X1,X0))) = u0(1,X1,X0) ),
inference(forward_demodulation,[],[f173,f101]) ).
tff(f175,plain,
! [X0: $int,X1: $int] : ( u0(1,X1,X0) = $product(X1,$product($sum(2,X1),$sum(X0,X1))) ),
inference(evaluation,[],[f174]) ).
tff(f244,plain,
! [X0: $int,X1: $int] :
( ( u0(2,X1,X0) = $product(u0($sum(2,-1),X1,X0),$product($sum(2,u0($sum(2,-1),X1,X0)),$sum(1,u0($sum(2,-1),X1,X0)))) )
| ~ $less(0,2)
| ~ $less(0,$sum(2,-1)) ),
inference(instantiation,[],[f167]) ).
tff(f245,plain,
! [X0: $int,X1: $int] : ( u0(2,X1,X0) = $product(u0($sum(2,-1),X1,X0),$product($sum(2,u0($sum(2,-1),X1,X0)),$sum(1,u0($sum(2,-1),X1,X0)))) ),
inference(interpreted_simplification,[],[f244]) ).
tff(f252,plain,
! [X0: $int,X1: $int] : ( $product(u0(1,X1,X0),$product($sum(2,u0(1,X1,X0)),$sum(1,u0(1,X1,X0)))) = u0(2,X1,X0) ),
inference(evaluation,[],[f245]) ).
tff(f259,plain,
! [X0: $int,X1: $int] : ( $product($product(X1,$product($sum(2,X1),$sum(X0,X1))),$product($sum(2,$product(X1,$product($sum(2,X1),$sum(X0,X1)))),$sum(1,$product(X1,$product($sum(2,X1),$sum(X0,X1)))))) = u0(2,X1,X0) ),
inference(forward_demodulation,[],[f252,f175]) ).
tff(f260,plain,
! [X0: $int,X1: $int] : ( $product(X1,$product($sum(2,X1),$product($sum(X0,X1),$product($sum(2,$product(X1,$product($sum(2,X1),$sum(X0,X1)))),$sum(1,$product(X1,$product($sum(2,X1),$sum(X0,X1)))))))) = u0(2,X1,X0) ),
inference(evaluation,[],[f259]) ).
tff(f318,plain,
( ( $product(1,$product($sum(2,1),$product($sum(sK0,1),$product($sum(2,$product(1,$product($sum(2,1),$sum(sK0,1)))),$sum(1,$product(1,$product($sum(2,1),$sum(sK0,1)))))))) != u1(1,$sum(4,3(sK0))) )
| spl1_3 ),
inference(superposition,[],[f114,f260]) ).
tff(f323,plain,
( ( 3($product($sum(4,3(sK0)),$product($sum(1,sK0),$sum(5,3(sK0))))) != u1(1,$sum(4,3(sK0))) )
| spl1_3 ),
inference(evaluation,[],[f318]) ).
tff(f324,plain,
( ( 3($product($sum(4,3(sK0)),$product($sum(1,sK0),$sum(5,3(sK0))))) != $sum(-1($sum(4,3(sK0))),$product($sum(4,3(sK0)),$product($sum(4,3(sK0)),$sum(4,3(sK0))))) )
| spl1_3 ),
inference(forward_demodulation,[],[f323,f131]) ).
tff(f325,plain,
( ( 3($product($sum(4,3(sK0)),$product($sum(1,sK0),$sum(5,3(sK0))))) != $sum(-4,$sum(-3(sK0),$product($sum(4,3(sK0)),$product($sum(4,3(sK0)),$sum(4,3(sK0)))))) )
| spl1_3 ),
inference(evaluation,[],[f324]) ).
tff(f327,definition,
( spl1_6
<=> ( 3($product($sum(4,3(sK0)),$product($sum(1,sK0),$sum(5,3(sK0))))) = $sum(-4,$sum(-3(sK0),$product($sum(4,3(sK0)),$product($sum(4,3(sK0)),$sum(4,3(sK0)))))) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
tff(f330,plain,
( ~ spl1_6
| spl1_3 ),
inference(avatar_split_clause,[],[f325,f112,f327]) ).
tff(f331,plain,
$false,
inference(avatar_smt_refutation,[],[f330,f115,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC478_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.27 % Computer : n003.cluster.edu
% 0.22/0.27 % Model : x86_64 x86_64
% 0.22/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.27 % Memory : 8046.5625MB
% 0.22/0.27 % OS : Linux 6.8.0-71-generic
% 0.22/0.28 % CPULimit : 300
% 0.22/0.28 % WCLimit : 300
% 0.22/0.28 % DateTime : Mon Sep 28 09:41:57 UTC 2026
% 0.22/0.28 % CPUTime :
% 0.22/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.33 Running first-order theorem proving
% 0.22/0.33 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
% 5.50/1.75 % (1468618)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.50/1.75 % (1468631)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2945244337:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.50/1.75 % (1468630)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1407029002:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.50/1.75 % (1468631)Instruction limit reached!
% 5.50/1.75 % (1468631)------------------------------
% 5.50/1.75 % (1468631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.75 % (1468631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.75 % (1468631)CaDiCaL version: 2.1.3
% 5.50/1.75 % (1468631)Termination reason: Instruction limit
% 5.50/1.75 % (1468631)Termination phase: Saturation
% 5.50/1.75 % (1468631)Time elapsed: 0.038 s
% 5.50/1.75 % (1468631)Peak memory usage: 116 MB
% 5.50/1.75 % (1468631)Instructions burned: 34 (million)
% 5.50/1.75 % (1468625)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2828474003:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.50/1.75 % (1468629)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4157217555:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.50/1.75 % (1468628)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3084681293:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.50/1.75 % (1468626)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1803306906:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.50/1.75 % (1468627)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2112057687:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.50/1.75 % (1468629)Instruction limit reached!
% 5.50/1.75 % (1468629)------------------------------
% 5.50/1.75 % (1468629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.75 % (1468629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.75 % (1468629)CaDiCaL version: 2.1.3
% 5.50/1.75 % (1468629)Termination reason: Instruction limit
% 5.50/1.75 % (1468629)Termination phase: Saturation
% 5.50/1.75 % (1468629)Time elapsed: 0.006 s
% 5.50/1.75 % (1468629)Peak memory usage: 89 MB
% 5.50/1.75 % (1468629)Instructions burned: 5 (million)
% 5.50/1.75 % (1468628)Instruction limit reached!
% 5.50/1.75 % (1468628)------------------------------
% 5.50/1.75 % (1468628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.75 % (1468628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.75 % (1468628)CaDiCaL version: 2.1.3
% 5.50/1.75 % (1468628)Termination reason: Instruction limit
% 5.50/1.75 % (1468628)Termination phase: Saturation
% 5.50/1.75 % (1468628)Time elapsed: 0.008 s
% 5.50/1.75 % (1468628)Peak memory usage: 88 MB
% 5.50/1.75 % (1468628)Instructions burned: 7 (million)
% 5.50/1.75 % (1468630)Instruction limit reached!
% 5.50/1.75 % (1468630)------------------------------
% 5.50/1.75 % (1468630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.75 % (1468630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.75 % (1468630)CaDiCaL version: 2.1.3
% 5.50/1.75 % (1468630)Termination reason: Instruction limit
% 5.50/1.75 % (1468630)Termination phase: Saturation
% 5.50/1.75 % (1468630)Time elapsed: 0.074 s
% 5.50/1.75 % (1468630)Peak memory usage: 115 MB
% 5.50/1.75 % (1468630)Instructions burned: 47 (million)
% 5.50/1.75 % (1468625)Instruction limit reached!
% 5.50/1.75 % (1468625)------------------------------
% 5.50/1.75 % (1468625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.75 % (1468625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.75 % (1468625)CaDiCaL version: 2.1.3
% 5.50/1.75 % (1468625)Termination reason: Instruction limit
% 5.50/1.75 % (1468625)Termination phase: Saturation
% 5.50/1.75 % (1468625)Time elapsed: 0.032 s
% 5.50/1.75 % (1468625)Peak memory usage: 115 MB
% 5.50/1.75 % (1468625)Instructions burned: 12 (million)
% 5.50/1.75 % (1468634)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2560547941:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.50/1.75 % (1468634)Instruction limit reached!
% 5.50/1.75 % (1468634)------------------------------
% 6.76/1.93 % (1468634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (1468634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (1468634)CaDiCaL version: 2.1.3
% 6.76/1.93 % (1468634)Termination reason: Instruction limit
% 6.76/1.93 % (1468634)Termination phase: Saturation
% 6.76/1.93 % (1468634)Time elapsed: 0.010 s
% 6.76/1.93 % (1468634)Peak memory usage: 88 MB
% 6.76/1.93 % (1468634)Instructions burned: 16 (million)
% 6.76/1.93 % (1468627)Instruction limit reached!
% 6.76/1.93 % (1468627)------------------------------
% 6.76/1.93 % (1468627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (1468627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (1468627)CaDiCaL version: 2.1.3
% 6.76/1.93 % (1468627)Termination reason: Instruction limit
% 6.76/1.93 % (1468627)Termination phase: Saturation
% 6.76/1.93 % (1468627)Time elapsed: 0.219 s
% 6.76/1.93 % (1468627)Peak memory usage: 117 MB
% 6.76/1.93 % (1468627)Instructions burned: 201 (million)
% 6.76/1.93 % (1468641)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2827420821:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 6.76/1.93 % (1468640)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=2455060677:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.76/1.93 % (1468641)Instruction limit reached!
% 6.76/1.93 % (1468641)------------------------------
% 6.76/1.93 % (1468641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (1468641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (1468641)CaDiCaL version: 2.1.3
% 6.76/1.93 % (1468641)Termination reason: Instruction limit
% 6.76/1.93 % (1468641)Termination phase: Saturation
% 6.76/1.93 % (1468641)Time elapsed: 0.018 s
% 6.76/1.93 % (1468641)Peak memory usage: 90 MB
% 6.76/1.93 % (1468641)Instructions burned: 16 (million)
% 6.76/1.93 % (1468642)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2875463016:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 6.76/1.93 % (1468640)Instruction limit reached!
% 6.76/1.93 % (1468640)------------------------------
% 6.76/1.93 % (1468640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (1468640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (1468640)CaDiCaL version: 2.1.3
% 6.76/1.93 % (1468640)Termination reason: Instruction limit
% 6.76/1.93 % (1468640)Termination phase: Saturation
% 6.76/1.93 % (1468640)Time elapsed: 0.034 s
% 6.76/1.93 % (1468640)Peak memory usage: 88 MB
% 6.76/1.93 % (1468640)Instructions burned: 29 (million)
% 6.76/1.93 % (1468626)Instruction limit reached!
% 6.76/1.93 % (1468626)------------------------------
% 6.76/1.93 % (1468626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (1468626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (1468626)CaDiCaL version: 2.1.3
% 6.76/1.93 % (1468626)Termination reason: Instruction limit
% 6.76/1.93 % (1468626)Termination phase: Saturation
% 6.76/1.93 % (1468626)Time elapsed: 0.302 s
% 6.76/1.93 % (1468626)Peak memory usage: 118 MB
% 6.76/1.93 % (1468626)Instructions burned: 308 (million)
% 6.76/1.93 % (1468643)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=1379049765:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 6.76/1.93 % (1468642)Instruction limit reached!
% 6.76/1.93 % (1468642)------------------------------
% 6.76/1.93 % (1468642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (1468642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (1468642)CaDiCaL version: 2.1.3
% 6.76/1.93 % (1468642)Termination reason: Instruction limit
% 6.76/1.93 % (1468642)Termination phase: Saturation
% 6.76/1.93 % (1468642)Time elapsed: 0.029 s
% 6.76/1.93 % (1468642)Peak memory usage: 89 MB
% 6.76/1.93 % (1468642)Instructions burned: 24 (million)
% 6.76/1.93 % (1468643)Instruction limit reached!
% 6.76/1.93 % (1468643)------------------------------
% 6.76/1.93 % (1468643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (1468643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468643)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468643)Termination reason: Instruction limit
% 9.93/2.36 % (1468643)Termination phase: Saturation
% 9.93/2.36 % (1468643)Time elapsed: 0.026 s
% 9.93/2.36 % (1468643)Peak memory usage: 89 MB
% 9.93/2.36 % (1468643)Instructions burned: 27 (million)
% 9.93/2.36 % (1468645)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=408561485:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 9.93/2.36 % (1468645)Instruction limit reached!
% 9.93/2.36 % (1468645)------------------------------
% 9.93/2.36 % (1468645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468645)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468645)Termination reason: Instruction limit
% 9.93/2.36 % (1468645)Termination phase: Saturation
% 9.93/2.36 % (1468645)Time elapsed: 0.041 s
% 9.93/2.36 % (1468645)Peak memory usage: 89 MB
% 9.93/2.36 % (1468645)Instructions burned: 85 (million)
% 9.93/2.36 % (1468646)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2320343809:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 9.93/2.36 % (1468646)Instruction limit reached!
% 9.93/2.36 % (1468646)------------------------------
% 9.93/2.36 % (1468646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468646)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468646)Termination reason: Instruction limit
% 9.93/2.36 % (1468646)Termination phase: Saturation
% 9.93/2.36 % (1468646)Time elapsed: 0.004 s
% 9.93/2.36 % (1468646)Peak memory usage: 88 MB
% 9.93/2.36 % (1468646)Instructions burned: 2 (million)
% 9.93/2.36 % (1468649)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3950884114:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.93/2.36 % (1468653)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=956979310:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 9.93/2.36 % (1468651)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2895770662:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.93/2.36 % (1468655)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=3947189710:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 9.93/2.36 % (1468651)Instruction limit reached!
% 9.93/2.36 % (1468651)------------------------------
% 9.93/2.36 % (1468651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468651)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468651)Termination reason: Instruction limit
% 9.93/2.36 % (1468651)Termination phase: Saturation
% 9.93/2.36 % (1468651)Time elapsed: 0.006 s
% 9.93/2.36 % (1468651)Peak memory usage: 88 MB
% 9.93/2.36 % (1468651)Instructions burned: 4 (million)
% 9.93/2.36 % (1468655)Instruction limit reached!
% 9.93/2.36 % (1468655)------------------------------
% 9.93/2.36 % (1468655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468655)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468655)Termination reason: Instruction limit
% 9.93/2.36 % (1468655)Termination phase: Saturation
% 9.93/2.36 % (1468655)Time elapsed: 0.009 s
% 9.93/2.36 % (1468655)Peak memory usage: 88 MB
% 9.93/2.36 % (1468655)Instructions burned: 8 (million)
% 9.93/2.36 % (1468654)lrs+10_1_thi=all:si=on:fd=off:random_seed=722297485:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 9.93/2.36 % (1468657)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=560623855:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 9.93/2.36 % (1468657)Instruction limit reached!
% 9.93/2.36 % (1468657)------------------------------
% 9.93/2.36 % (1468657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468657)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468657)Termination reason: Instruction limit
% 9.93/2.36 % (1468657)Termination phase: Saturation
% 9.93/2.36 % (1468657)Time elapsed: 0.002 s
% 9.93/2.36 % (1468657)Peak memory usage: 88 MB
% 9.93/2.36 % (1468657)Instructions burned: 3 (million)
% 9.93/2.36 % (1468653)First to succeed.
% 9.93/2.36 % (1468653)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1468618"
% 9.93/2.36 % (1468654)Instruction limit reached!
% 9.93/2.36 % (1468654)------------------------------
% 9.93/2.36 % (1468654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468654)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468654)Termination reason: Instruction limit
% 9.93/2.36 % (1468654)Termination phase: Saturation
% 9.93/2.36 % (1468654)Time elapsed: 0.093 s
% 9.93/2.36 % (1468654)Peak memory usage: 116 MB
% 9.93/2.36 % (1468654)Instructions burned: 53 (million)
% 9.93/2.36 % (1468649)Instruction limit reached!
% 9.93/2.36 % (1468649)------------------------------
% 9.93/2.36 % (1468649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468649)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468649)Termination reason: Instruction limit
% 9.93/2.36 % (1468649)Termination phase: Saturation
% 9.93/2.36 % (1468649)Time elapsed: 0.163 s
% 9.93/2.36 % (1468649)Peak memory usage: 90 MB
% 9.93/2.36 % (1468649)Instructions burned: 181 (million)
% 9.93/2.36 % (1468659)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1990903259:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 9.93/2.36 % (1468659)Instruction limit reached!
% 9.93/2.36 % (1468659)------------------------------
% 9.93/2.36 % (1468659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468659)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468659)Termination reason: Instruction limit
% 9.93/2.36 % (1468659)Termination phase: Saturation
% 9.93/2.36 % (1468659)Time elapsed: 0.003 s
% 9.93/2.36 % (1468659)Peak memory usage: 88 MB
% 9.93/2.36 % (1468659)Instructions burned: 2 (million)
% 9.93/2.36 % (1468671)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2479315908: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_2990 on theBenchmark for (2990ds/35Mi)
% 9.93/2.36 % (1468670)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=556062300:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 9.93/2.36 % (1468666)dis+10_1_si=on:random_seed=717099325:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 9.93/2.36 % (1468665)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3148640982:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 9.93/2.36 % (1468670)Refutation not found, incomplete strategy
% 9.93/2.36 % (1468670)------------------------------
% 9.93/2.36 % (1468670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468670)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468670)Termination reason: Refutation not found, incomplete strategy
% 9.93/2.36 % (1468670)Time elapsed: 0.004 s
% 9.93/2.36 % (1468670)Peak memory usage: 89 MB
% 9.93/2.36 % (1468670)Instructions burned: 2 (million)
% 9.93/2.36 % (1468671)Instruction limit reached!
% 9.93/2.36 % (1468671)------------------------------
% 9.93/2.36 % (1468671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468671)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468671)Termination reason: Instruction limit
% 9.93/2.36 % (1468671)Termination phase: Saturation
% 9.93/2.36 % (1468671)Time elapsed: 0.016 s
% 9.93/2.36 % (1468671)Peak memory usage: 89 MB
% 9.93/2.36 % (1468671)Instructions burned: 36 (million)
% 9.93/2.36 % (1468666)Instruction limit reached!
% 9.93/2.36 % (1468666)------------------------------
% 9.93/2.36 % (1468666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468666)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468666)Termination reason: Instruction limit
% 9.93/2.36 % (1468666)Termination phase: Saturation
% 9.93/2.36 % (1468666)Time elapsed: 0.012 s
% 9.93/2.36 % (1468666)Peak memory usage: 88 MB
% 9.93/2.36 % (1468666)Instructions burned: 10 (million)
% 9.93/2.36 % (1468672)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3916339750:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 9.93/2.36 % (1468672)Instruction limit reached!
% 9.93/2.36 % (1468672)------------------------------
% 9.93/2.36 % (1468672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468672)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468672)Termination reason: Instruction limit
% 9.93/2.36 % (1468672)Termination phase: Saturation
% 9.93/2.36 % (1468672)Time elapsed: 0.004 s
% 9.93/2.36 % (1468672)Peak memory usage: 89 MB
% 9.93/2.36 % (1468672)Instructions burned: 2 (million)
% 9.93/2.36 % (1468665)Instruction limit reached!
% 9.93/2.36 % (1468665)------------------------------
% 9.93/2.36 % (1468665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468665)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468665)Termination reason: Instruction limit
% 9.93/2.36 % (1468665)Termination phase: Saturation
% 9.93/2.36 % (1468665)Time elapsed: 0.159 s
% 9.93/2.36 % (1468665)Peak memory usage: 116 MB
% 9.93/2.36 % (1468665)Instructions burned: 128 (million)
% 9.93/2.36 % (1468674)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2614333754:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2989 on theBenchmark for (2989ds/8Mi)
% 9.93/2.36 % (1468679)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2166525427:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 9.93/2.36 % (1468674)Instruction limit reached!
% 9.93/2.36 % (1468674)------------------------------
% 9.93/2.36 % (1468674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468674)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468674)Termination reason: Instruction limit
% 9.93/2.36 % (1468674)Termination phase: Saturation
% 9.93/2.36 % (1468674)Time elapsed: 0.011 s
% 9.93/2.36 % (1468674)Peak memory usage: 88 MB
% 9.93/2.36 % (1468674)Instructions burned: 8 (million)
% 9.93/2.36 % (1468680)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2317834365:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 9.93/2.36 % (1468680)Instruction limit reached!
% 9.93/2.36 % (1468680)------------------------------
% 9.93/2.36 % (1468680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468680)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468680)Termination reason: Instruction limit
% 9.93/2.36 % (1468680)Termination phase: Saturation
% 9.93/2.36 % (1468680)Time elapsed: 0.045 s
% 9.93/2.36 % (1468680)Peak memory usage: 116 MB
% 9.93/2.36 % (1468680)Instructions burned: 13 (million)
% 9.93/2.36 % (1468679)Instruction limit reached!
% 9.93/2.36 % (1468679)------------------------------
% 9.93/2.36 % (1468679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.36 % (1468679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.36 % (1468679)CaDiCaL version: 2.1.3
% 9.93/2.36 % (1468679)Termination reason: Instruction limit
% 9.93/2.36 % (1468679)Termination phase: Saturation
% 9.93/2.36 % (1468679)Time elapsed: 0.154 s
% 9.93/2.36 % (1468679)Peak memory usage: 91 MB
% 9.93/2.36 % (1468679)Instructions burned: 372 (million)
% 9.93/2.36 % (1468670)------------------------------
% 9.93/2.36 % (1468670)------------------------------
% 9.93/2.36 % (1468682)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1605760327:i=226:rtra=on:gtg=position:ss=axioms_2987 on theBenchmark for (2987ds/226Mi)
% 9.93/2.36 % (1468653)Refutation found. Thanks to Tanya!
% 9.93/2.36 % SZS status Theorem for theBenchmark
% 9.93/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 11.34/2.67 % (1468653)------------------------------
% 11.34/2.67 % (1468653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.34/2.67 % (1468653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.34/2.67 % (1468653)CaDiCaL version: 2.1.3
% 11.34/2.67 % (1468653)Termination reason: Refutation
% 11.34/2.67 % (1468653)Time elapsed: 0.121 s
% 11.34/2.67 % (1468653)Peak memory usage: 134 MB
% 11.34/2.67 % (1468653)Instructions burned: 51 (million)
% 11.34/2.67 % (1468653)------------------------------
% 11.34/2.67 % (1468653)------------------------------
% 11.34/2.67 % (1468618)Success in time 1.5 s
% 11.34/2.67 % Vampire exiting
%------------------------------------------------------------------------------