%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC435_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 01:03:57 PM UTC 2026
% Result : Theorem 5.33s 1.54s
% Output : Refutation 6.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 104 ( 49 unt; 0 typ; 3 def)
% Number of atoms : 192 ( 113 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 143 ( 55 ~; 48 |; 19 &)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 839 ( 57 atm; 290 fun; 347 num; 145 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 : 28 ( 17 usr; 11 con; 0-3 aty)
% Number of variables : 145 ( 142 !; 3 ?; 145 :)
% 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,
w0: $int > $int ).
tff(func_def_3,type,
v1: $int > $int ).
tff(func_def_4,type,
g0: $int > $int ).
tff(func_def_5,type,
h1: $int > $int ).
tff(func_def_6,type,
i0: $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,
j0: $int ).
tff(func_def_12,type,
fast: $int > $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,
10: $int > $int ).
tff(func_def_27,type,
'$inst2': $int ).
tff(f1,axiom,
! [X1: $int,X0: $int] : ( f0(X0,X1) = $product($product(X0,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).
tff(f2,axiom,
! [X0: $int] : ( g0(X0) = X0 ),
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,
! [X0: $int] : ( i0(X0) = $product($sum(1,$sum(2,2)),$sum(1,$sum(X0,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4) ).
tff(f5,axiom,
j0 = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5) ).
tff(f6,axiom,
! [X0: $int,X2: $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,
! [X2: $int,X1: $int,X0: $int] :
( ( ~ $lesseq(X0,0)
=> ( v0(X0,X1,X2) = g0(u0($difference(X0,1),X1,X2)) ) )
& ( $lesseq(X0,0)
=> ( v0(X0,X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7) ).
tff(f8,axiom,
! [X0: $int] : ( w0(X0) = u0(h0,i0(X0),j0) ),
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) = $product($product($product($product(X0,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) = $product($sum(1,$sum(2,2)),$sum(1,$sum(X0,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_12) ).
tff(f13,axiom,
! [X1: $int,X0: $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] :
( ( small(X0) != fast(X0) )
& $greatereq(X0,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
tff(f17,negated_conjecture,
~ ~ ? [X0: $int] :
( ( small(X0) != fast(X0) )
& $greatereq(X0,0) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
tff(f18,plain,
! [X0: $int,X2: $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(f19,plain,
! [X2: $int,X1: $int,X0: $int] :
( ( $less(0,X0)
=> ( v0(X0,X1,X2) = g0(u0($sum(X0,$uminus(1)),X1,X2)) ) )
& ( ~ $less(0,X0)
=> ( v0(X0,X1,X2) = X2 ) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f20,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X0)
=> ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) )
& ( ~ $less(0,X0)
=> ( u1(X0,X1) = X1 ) ) ),
inference(theory_normalization,[],[f13]) ).
tff(f21,plain,
? [X0: $int] :
( ( small(X0) != fast(X0) )
& ~ $less(X0,0) ),
inference(theory_normalization,[],[f17]) ).
tff(f40,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( $less(0,X0)
=> ( f0(u0($sum(X0,$uminus(1)),X2,X1),v0($sum(X0,$uminus(1)),X2,X1)) = u0(X0,X2,X1) ) )
& ( ~ $less(0,X0)
=> ( u0(X0,X2,X1) = X2 ) ) ),
inference(rectify,[],[f18]) ).
tff(f41,plain,
! [X0: $int,X1: $int] : ( $product($product(X1,X1),X0) = f0(X1,X0) ),
inference(rectify,[],[f1]) ).
tff(f42,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( $less(0,X2)
=> ( g0(u0($sum(X2,$uminus(1)),X1,X0)) = v0(X2,X1,X0) ) )
& ( ~ $less(0,X2)
=> ( v0(X2,X1,X0) = X0 ) ) ),
inference(rectify,[],[f19]) ).
tff(f43,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X1)
=> ( f1(u1($sum(X1,$uminus(1)),X0)) = u1(X1,X0) ) )
& ( ~ $less(0,X1)
=> ( u1(X1,X0) = X0 ) ) ),
inference(rectify,[],[f20]) ).
tff(f44,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( ( u0(X0,X2,X1) = X2 )
| $less(0,X0) )
& ( ( f0(u0($sum(X0,$uminus(1)),X2,X1),v0($sum(X0,$uminus(1)),X2,X1)) = u0(X0,X2,X1) )
| ~ $less(0,X0) ) ),
inference(ennf_transformation,[],[f40]) ).
tff(f45,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( ( v0(X2,X1,X0) = X0 )
| $less(0,X2) )
& ( ( g0(u0($sum(X2,$uminus(1)),X1,X0)) = v0(X2,X1,X0) )
| ~ $less(0,X2) ) ),
inference(ennf_transformation,[],[f42]) ).
tff(f46,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X1)
| ( u1(X1,X0) = X0 ) )
& ( ~ $less(0,X1)
| ( f1(u1($sum(X1,$uminus(1)),X0)) = u1(X1,X0) ) ) ),
inference(ennf_transformation,[],[f43]) ).
tff(f47,plain,
( ( small(sK0) != fast(sK0) )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
tff(f48,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ( v0(X1,X0,X2) = X2 )
| $less(0,X1) )
& ( ( g0(u0($sum(X1,$uminus(1)),X0,X2)) = v0(X1,X0,X2) )
| ~ $less(0,X1) ) ),
inference(rectify,[],[f45]) ).
tff(f49,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(rectify,[],[f46]) ).
tff(f50,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ( 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)) )
| ~ $less(0,X0) ) ),
inference(rectify,[],[f44]) ).
tff(f51,plain,
1 = j0,
inference(cnf_transformation,[],[f5]) ).
tff(f52,plain,
h0 = 2,
inference(cnf_transformation,[],[f3]) ).
tff(f53,plain,
! [X0: $int] : ( $product($sum(1,$sum(2,2)),$sum(1,$sum(X0,X0))) = h1(X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f55,plain,
small(sK0) != fast(sK0),
inference(cnf_transformation,[],[f47]) ).
tff(f56,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(0,X1)
| ( g0(u0($sum(X1,$uminus(1)),X0,X2)) = v0(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f57,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( v0(X1,X0,X2) = X2 )
| $less(0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tff(f58,plain,
! [X0: $int] : ( i0(X0) = $product($sum(1,$sum(2,2)),$sum(1,$sum(X0,X0))) ),
inference(cnf_transformation,[],[f4]) ).
tff(f59,plain,
! [X0: $int] : ( g0(X0) = X0 ),
inference(cnf_transformation,[],[f2]) ).
tff(f60,plain,
1 = g1,
inference(cnf_transformation,[],[f11]) ).
tff(f61,plain,
! [X0: $int] : ( f1(X0) = $product($product($product($product(X0,X0),X0),X0),X0) ),
inference(cnf_transformation,[],[f10]) ).
tff(f62,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f63,plain,
! [X0: $int,X1: $int] :
( ( u1(X0,X1) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f49]) ).
tff(f64,plain,
! [X0: $int] : ( w0(X0) = small(X0) ),
inference(cnf_transformation,[],[f9]) ).
tff(f65,plain,
! [X0: $int] : ( v1(X0) = fast(X0) ),
inference(cnf_transformation,[],[f15]) ).
tff(f66,plain,
! [X0: $int] : ( w0(X0) = u0(h0,i0(X0),j0) ),
inference(cnf_transformation,[],[f8]) ).
tff(f67,plain,
! [X0: $int] : ( v1(X0) = u1(g1,h1(X0)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f68,plain,
! [X0: $int,X1: $int] : ( $product($product(X1,X1),X0) = f0(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
tff(f69,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u0(X0,X1,X2) = f0(u0($sum(X0,$uminus(1)),X1,X2),v0($sum(X0,$uminus(1)),X1,X2)) )
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f50]) ).
tff(f70,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u0(X0,X1,X2) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f50]) ).
tff(f71,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u1(X0,X1) = $product($product($product($product(u1($sum(X0,$uminus(1)),X1),u1($sum(X0,$uminus(1)),X1)),u1($sum(X0,$uminus(1)),X1)),u1($sum(X0,$uminus(1)),X1)),u1($sum(X0,$uminus(1)),X1)) ) ),
inference(definition_unfolding,[],[f62,f61]) ).
tff(f72,plain,
! [X0: $int] : ( small(X0) = u0(2,$product($sum(1,$sum(2,2)),$sum(1,$sum(X0,X0))),1) ),
inference(definition_unfolding,[],[f66,f64,f52,f58,f51]) ).
tff(f73,plain,
! [X0: $int] : ( fast(X0) = u1(1,$product($sum(1,$sum(2,2)),$sum(1,$sum(X0,X0)))) ),
inference(definition_unfolding,[],[f67,f65,f60,f53]) ).
tff(f74,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u0(X0,X1,X2) = $product($product(u0($sum(X0,$uminus(1)),X1,X2),u0($sum(X0,$uminus(1)),X1,X2)),v0($sum(X0,$uminus(1)),X1,X2)) )
| ~ $less(0,X0) ),
inference(definition_unfolding,[],[f69,f68]) ).
tff(f76,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( g0(u0($sum(-1,X1),X0,X2)) = v0(X1,X0,X2) )
| ~ $less(0,X1) ),
inference(evaluation,[],[f56]) ).
tff(f77,plain,
! [X0: $int] : ( fast(X0) = u1(1,$sum(5,10(X0))) ),
inference(evaluation,[],[f73]) ).
tff(f78,plain,
! [X0: $int,X1: $int] :
( ( u1(X0,X1) = $product(u1($sum(-1,X0),X1),$product(u1($sum(-1,X0),X1),$product(u1($sum(-1,X0),X1),$product(u1($sum(-1,X0),X1),u1($sum(-1,X0),X1))))) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f71]) ).
tff(f79,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u0(X0,X1,X2) = $product(u0($sum(-1,X0),X1,X2),$product(u0($sum(-1,X0),X1,X2),v0($sum(-1,X0),X1,X2))) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f74]) ).
tff(f80,plain,
! [X0: $int] : ( small(X0) = u0(2,$sum(5,10(X0)),1) ),
inference(evaluation,[],[f72]) ).
tff(f87,definition,
( spl1_2
<=> ( small(sK0) = fast(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f89,plain,
( ( small(sK0) != fast(sK0) )
| spl1_2 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f90,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f55,f87]) ).
tff(f91,plain,
! [X1: $int] :
( ( u1(0,X1) = X1 )
| $less(0,0) ),
inference(instantiation,[],[f63]) ).
tff(f92,plain,
! [X1: $int] : ( u1(0,X1) = X1 ),
inference(interpreted_simplification,[],[f91]) ).
tff(f93,plain,
! [X2: $int,X0: $int] :
( ( v0(0,X0,X2) = X2 )
| $less(0,0) ),
inference(instantiation,[],[f57]) ).
tff(f94,plain,
! [X2: $int,X0: $int] : ( v0(0,X0,X2) = X2 ),
inference(interpreted_simplification,[],[f93]) ).
tff(f95,plain,
! [X2: $int,X1: $int] :
( ( u0(0,X1,X2) = X1 )
| $less(0,0) ),
inference(instantiation,[],[f70]) ).
tff(f96,plain,
! [X2: $int,X1: $int] : ( u0(0,X1,X2) = X1 ),
inference(interpreted_simplification,[],[f95]) ).
tff(f110,plain,
( ( u0(2,$sum(5,10(sK0)),1) != fast(sK0) )
| spl1_2 ),
inference(superposition,[],[f89,f80]) ).
tff(f111,plain,
( ( u0(2,$sum(10(sK0),5),1) != fast(sK0) )
| spl1_2 ),
inference(evaluation,[],[f110]) ).
tff(f112,plain,
( ( u1(1,$sum(5,10(sK0))) != u0(2,$sum(10(sK0),5),1) )
| spl1_2 ),
inference(forward_demodulation,[],[f111,f77]) ).
tff(f113,plain,
( ( u1(1,$sum(10(sK0),5)) != u0(2,$sum(10(sK0),5),1) )
| spl1_2 ),
inference(evaluation,[],[f112]) ).
tff(f115,definition,
( spl1_3
<=> ( u1(1,$sum(10(sK0),5)) = u0(2,$sum(10(sK0),5),1) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f117,plain,
( ( u1(1,$sum(10(sK0),5)) != u0(2,$sum(10(sK0),5),1) )
| spl1_3 ),
inference(avatar_component_clause,[],[f115]) ).
tff(f118,plain,
( ~ spl1_3
| spl1_2 ),
inference(avatar_split_clause,[],[f113,f87,f115]) ).
tff(f124,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( v0(X1,X0,X2) = u0($sum(-1,X1),X0,X2) )
| ~ $less(0,X1) ),
inference(forward_demodulation,[],[f76,f59]) ).
tff(f152,plain,
! [X2: $int,X1: $int] :
( ( u0(1,X1,X2) = $product(u0($sum(-1,1),X1,X2),$product(u0($sum(-1,1),X1,X2),v0($sum(-1,1),X1,X2))) )
| ~ $less(0,1) ),
inference(instantiation,[],[f79]) ).
tff(f153,plain,
! [X2: $int,X1: $int] : ( u0(1,X1,X2) = $product(u0($sum(-1,1),X1,X2),$product(u0($sum(-1,1),X1,X2),v0($sum(-1,1),X1,X2))) ),
inference(interpreted_simplification,[],[f152]) ).
tff(f159,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $product(u0($sum(-1,X2),X1,X0),$product(u0($sum(-1,X2),X1,X0),u0($sum(-1,$sum(-1,X2)),X1,X0))) = u0(X2,X1,X0) )
| ~ $less(0,X2)
| ~ $less(0,$sum(-1,X2)) ),
inference(superposition,[],[f79,f124]) ).
tff(f165,plain,
! [X2: $int,X1: $int] : ( $product(u0(0,X1,X2),$product(u0(0,X1,X2),v0(0,X1,X2))) = u0(1,X1,X2) ),
inference(evaluation,[],[f153]) ).
tff(f166,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( u0(X2,X1,X0) = $product(u0($sum(-1,X2),X1,X0),$product(u0($sum(-1,X2),X1,X0),u0($sum(-2,X2),X1,X0))) )
| ~ $less(0,X2)
| ~ $less(0,$sum(-1,X2)) ),
inference(evaluation,[],[f159]) ).
tff(f168,plain,
! [X2: $int,X1: $int] : ( $product(u0(0,X1,X2),$product(u0(0,X1,X2),X2)) = u0(1,X1,X2) ),
inference(forward_demodulation,[],[f165,f94]) ).
tff(f171,plain,
! [X2: $int,X1: $int] : ( $product(X1,$product(X1,X2)) = u0(1,X1,X2) ),
inference(forward_demodulation,[],[f168,f96]) ).
tff(f262,plain,
! [X0: $int,X1: $int] :
( ( $product(u0($sum(-1,2),X1,X0),$product(u0($sum(-1,2),X1,X0),u0($sum(-2,2),X1,X0))) = u0(2,X1,X0) )
| ~ $less(0,2)
| ~ $less(0,$sum(-1,2)) ),
inference(instantiation,[],[f166]) ).
tff(f263,plain,
! [X0: $int,X1: $int] : ( $product(u0($sum(-1,2),X1,X0),$product(u0($sum(-1,2),X1,X0),u0($sum(-2,2),X1,X0))) = u0(2,X1,X0) ),
inference(interpreted_simplification,[],[f262]) ).
tff(f278,plain,
! [X0: $int,X1: $int] : ( $product(u0(0,X1,X0),$product(u0(1,X1,X0),u0(1,X1,X0))) = u0(2,X1,X0) ),
inference(evaluation,[],[f263]) ).
tff(f284,plain,
! [X0: $int,X1: $int] : ( $product(u0(0,X1,X0),$product($product(X1,$product(X1,X0)),$product(X1,$product(X1,X0)))) = u0(2,X1,X0) ),
inference(forward_demodulation,[],[f278,f171]) ).
tff(f285,plain,
! [X0: $int,X1: $int] : ( $product(u0(0,X1,X0),$product(X0,$product(X0,$product(X1,$product(X1,$product(X1,X1)))))) = u0(2,X1,X0) ),
inference(evaluation,[],[f284]) ).
tff(f288,plain,
! [X0: $int,X1: $int] : ( $product(X1,$product(X0,$product(X0,$product(X1,$product(X1,$product(X1,X1)))))) = u0(2,X1,X0) ),
inference(forward_demodulation,[],[f285,f96]) ).
tff(f289,plain,
! [X0: $int,X1: $int] : ( $product(X0,$product(X0,$product(X1,$product(X1,$product(X1,$product(X1,X1)))))) = u0(2,X1,X0) ),
inference(evaluation,[],[f288]) ).
tff(f298,plain,
( ( u1(1,$sum(10(sK0),5)) != $product(1,$product(1,$product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$sum(10(sK0),5))))))) )
| spl1_3 ),
inference(superposition,[],[f117,f289]) ).
tff(f301,plain,
( ( u1(1,$sum(10(sK0),5)) != $product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$sum(10(sK0),5))))) )
| spl1_3 ),
inference(evaluation,[],[f298]) ).
tff(f303,definition,
( spl1_4
<=> ( u1(1,$sum(10(sK0),5)) = $product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$sum(10(sK0),5))))) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f305,plain,
( ( u1(1,$sum(10(sK0),5)) != $product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$sum(10(sK0),5))))) )
| spl1_4 ),
inference(avatar_component_clause,[],[f303]) ).
tff(f306,plain,
( ~ spl1_4
| spl1_3 ),
inference(avatar_split_clause,[],[f301,f115,f303]) ).
tff(f353,plain,
! [X1: $int] :
( ( $product(u1($sum(-1,1),X1),$product(u1($sum(-1,1),X1),$product(u1($sum(-1,1),X1),$product(u1($sum(-1,1),X1),u1($sum(-1,1),X1))))) = u1(1,X1) )
| ~ $less(0,1) ),
inference(instantiation,[],[f78]) ).
tff(f354,plain,
! [X1: $int] : ( $product(u1($sum(-1,1),X1),$product(u1($sum(-1,1),X1),$product(u1($sum(-1,1),X1),$product(u1($sum(-1,1),X1),u1($sum(-1,1),X1))))) = u1(1,X1) ),
inference(interpreted_simplification,[],[f353]) ).
tff(f361,plain,
! [X1: $int] : ( u1(1,X1) = $product(u1(0,X1),$product(u1(0,X1),$product(u1(0,X1),$product(u1(0,X1),u1(0,X1))))) ),
inference(evaluation,[],[f354]) ).
tff(f365,plain,
! [X1: $int] : ( $product(X1,$product(X1,$product(X1,$product(X1,X1)))) = u1(1,X1) ),
inference(forward_demodulation,[],[f361,f92]) ).
tff(f369,plain,
( ( $product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$sum(10(sK0),5))))) != $product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$product($sum(10(sK0),5),$sum(10(sK0),5))))) )
| spl1_4 ),
inference(superposition,[],[f305,f365]) ).
tff(f371,plain,
( $false
| spl1_4 ),
inference(trivial_inequality_removal,[],[f369]) ).
tff(f372,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f371]) ).
tff(f373,plain,
$false,
inference(avatar_smt_refutation,[],[f372,f306,f118,f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC435_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:38:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.54/1.20 % (2127008)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.54/1.20 % (2127042)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3909069430:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.54/1.20 % (2127042)Instruction limit reached!
% 3.54/1.20 % (2127042)------------------------------
% 3.54/1.20 % (2127042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.20 % (2127042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.20 % (2127042)CaDiCaL version: 2.1.3
% 3.54/1.20 % (2127042)Termination reason: Instruction limit
% 3.54/1.20 % (2127042)Termination phase: Saturation
% 3.54/1.20 % (2127042)Time elapsed: 0.003 s
% 3.54/1.20 % (2127042)Peak memory usage: 88 MB
% 3.54/1.20 % (2127042)Instructions burned: 7 (million)
% 3.54/1.20 % (2127040)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1764826773:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.54/1.20 % (2127043)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1678924952:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.54/1.20 % (2127041)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=58039493:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.54/1.20 % (2127045)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1335164653:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.54/1.20 % (2127039)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3224412054:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.54/1.20 % (2127044)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4264358313:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.54/1.20 % (2127043)Instruction limit reached!
% 3.54/1.20 % (2127043)------------------------------
% 3.54/1.20 % (2127043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.20 % (2127043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.20 % (2127043)CaDiCaL version: 2.1.3
% 3.54/1.20 % (2127043)Termination reason: Instruction limit
% 3.54/1.20 % (2127043)Termination phase: Saturation
% 3.54/1.20 % (2127043)Time elapsed: 0.004 s
% 3.54/1.20 % (2127043)Peak memory usage: 88 MB
% 3.54/1.20 % (2127043)Instructions burned: 5 (million)
% 3.54/1.20 % (2127039)Instruction limit reached!
% 3.54/1.20 % (2127039)------------------------------
% 3.54/1.20 % (2127039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.20 % (2127039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.20 % (2127039)CaDiCaL version: 2.1.3
% 3.54/1.20 % (2127039)Termination reason: Instruction limit
% 3.54/1.20 % (2127039)Termination phase: Saturation
% 3.54/1.20 % (2127039)Time elapsed: 0.032 s
% 3.54/1.20 % (2127039)Peak memory usage: 115 MB
% 3.54/1.20 % (2127039)Instructions burned: 13 (million)
% 3.54/1.20 % (2127045)Instruction limit reached!
% 3.54/1.20 % (2127045)------------------------------
% 3.54/1.20 % (2127045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.20 % (2127045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.20 % (2127045)CaDiCaL version: 2.1.3
% 3.54/1.20 % (2127045)Termination reason: Instruction limit
% 3.54/1.20 % (2127045)Termination phase: Saturation
% 3.54/1.20 % (2127045)Time elapsed: 0.045 s
% 3.54/1.20 % (2127045)Peak memory usage: 115 MB
% 3.54/1.20 % (2127045)Instructions burned: 33 (million)
% 3.54/1.20 % (2127044)Instruction limit reached!
% 3.54/1.20 % (2127044)------------------------------
% 3.54/1.20 % (2127044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.20 % (2127044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.20 % (2127044)CaDiCaL version: 2.1.3
% 3.54/1.20 % (2127044)Termination reason: Instruction limit
% 3.54/1.20 % (2127044)Termination phase: Saturation
% 3.54/1.20 % (2127044)Time elapsed: 0.052 s
% 3.54/1.20 % (2127044)Peak memory usage: 117 MB
% 3.54/1.20 % (2127044)Instructions burned: 47 (million)
% 3.54/1.20 % (2127047)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1191009894:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.54/1.20 % (2127047)Instruction limit reached!
% 3.54/1.20 % (2127047)------------------------------
% 4.19/1.43 % (2127047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.43 % (2127047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.43 % (2127047)CaDiCaL version: 2.1.3
% 4.19/1.43 % (2127047)Termination reason: Instruction limit
% 4.19/1.43 % (2127047)Termination phase: Saturation
% 4.19/1.43 % (2127047)Time elapsed: 0.006 s
% 4.19/1.43 % (2127047)Peak memory usage: 88 MB
% 4.19/1.43 % (2127047)Instructions burned: 17 (million)
% 4.19/1.43 % (2127041)Instruction limit reached!
% 4.19/1.43 % (2127041)------------------------------
% 4.19/1.43 % (2127041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.43 % (2127041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.43 % (2127041)CaDiCaL version: 2.1.3
% 4.19/1.43 % (2127041)Termination reason: Instruction limit
% 4.19/1.43 % (2127041)Termination phase: Saturation
% 4.19/1.43 % (2127041)Time elapsed: 0.141 s
% 4.19/1.43 % (2127041)Peak memory usage: 117 MB
% 4.19/1.43 % (2127041)Instructions burned: 202 (million)
% 4.19/1.43 % (2127054)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=3519126842:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.19/1.43 % (2127054)Instruction limit reached!
% 4.19/1.43 % (2127054)------------------------------
% 4.19/1.43 % (2127054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.43 % (2127054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.43 % (2127054)CaDiCaL version: 2.1.3
% 4.19/1.43 % (2127054)Termination reason: Instruction limit
% 4.19/1.43 % (2127054)Termination phase: Saturation
% 4.19/1.43 % (2127054)Time elapsed: 0.021 s
% 4.19/1.43 % (2127054)Peak memory usage: 89 MB
% 4.19/1.43 % (2127054)Instructions burned: 30 (million)
% 4.19/1.43 % (2127055)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1250246448:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.19/1.43 % (2127056)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2254444159:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.19/1.43 % (2127055)Instruction limit reached!
% 4.19/1.43 % (2127055)------------------------------
% 4.19/1.43 % (2127055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.43 % (2127055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.43 % (2127055)CaDiCaL version: 2.1.3
% 4.19/1.43 % (2127055)Termination reason: Instruction limit
% 4.19/1.43 % (2127055)Termination phase: Saturation
% 4.19/1.43 % (2127055)Time elapsed: 0.012 s
% 4.19/1.43 % (2127055)Peak memory usage: 90 MB
% 4.19/1.43 % (2127055)Instructions burned: 17 (million)
% 4.19/1.43 % (2127057)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=674123456:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.19/1.43 % (2127059)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1827026792:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.19/1.43 % (2127056)Instruction limit reached!
% 4.19/1.43 % (2127056)------------------------------
% 4.19/1.43 % (2127056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.43 % (2127056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.43 % (2127056)CaDiCaL version: 2.1.3
% 4.19/1.43 % (2127056)Termination reason: Instruction limit
% 4.19/1.43 % (2127056)Termination phase: Saturation
% 4.19/1.43 % (2127056)Time elapsed: 0.018 s
% 4.19/1.43 % (2127056)Peak memory usage: 89 MB
% 4.19/1.43 % (2127056)Instructions burned: 24 (million)
% 4.19/1.43 % (2127057)Instruction limit reached!
% 4.19/1.43 % (2127057)------------------------------
% 4.19/1.43 % (2127057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.43 % (2127057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.43 % (2127057)CaDiCaL version: 2.1.3
% 4.19/1.43 % (2127057)Termination reason: Instruction limit
% 4.19/1.43 % (2127057)Termination phase: Saturation
% 4.19/1.43 % (2127057)Time elapsed: 0.017 s
% 4.19/1.43 % (2127057)Peak memory usage: 89 MB
% 4.19/1.43 % (2127057)Instructions burned: 28 (million)
% 4.19/1.43 % (2127040)Instruction limit reached!
% 4.19/1.43 % (2127040)------------------------------
% 4.19/1.43 % (2127040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127040)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127040)Termination reason: Instruction limit
% 5.33/1.54 % (2127040)Termination phase: Saturation
% 5.33/1.54 % (2127040)Time elapsed: 0.220 s
% 5.33/1.54 % (2127040)Peak memory usage: 116 MB
% 5.33/1.54 % (2127040)Instructions burned: 307 (million)
% 5.33/1.54 % (2127059)Instruction limit reached!
% 5.33/1.54 % (2127059)------------------------------
% 5.33/1.54 % (2127059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127059)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127059)Termination reason: Instruction limit
% 5.33/1.54 % (2127059)Termination phase: Saturation
% 5.33/1.54 % (2127059)Time elapsed: 0.025 s
% 5.33/1.54 % (2127059)Peak memory usage: 89 MB
% 5.33/1.54 % (2127059)Instructions burned: 88 (million)
% 5.33/1.54 % (2127063)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=727196569:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.33/1.54 % (2127063)Instruction limit reached!
% 5.33/1.54 % (2127063)------------------------------
% 5.33/1.54 % (2127063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127063)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127063)Termination reason: Instruction limit
% 5.33/1.54 % (2127063)Termination phase: Saturation
% 5.33/1.54 % (2127063)Time elapsed: 0.003 s
% 5.33/1.54 % (2127063)Peak memory usage: 88 MB
% 5.33/1.54 % (2127063)Instructions burned: 3 (million)
% 5.33/1.54 % (2127064)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1270401071:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.33/1.54 % (2127064)Refutation not found, incomplete strategy
% 5.33/1.54 % (2127064)------------------------------
% 5.33/1.54 % (2127064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127064)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127064)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.54 % (2127064)Time elapsed: 0.016 s
% 5.33/1.54 % (2127064)Peak memory usage: 90 MB
% 5.33/1.54 % (2127064)Instructions burned: 22 (million)
% 5.33/1.54 % (2127068)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=730558835:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.33/1.54 % (2127068)Instruction limit reached!
% 5.33/1.54 % (2127068)------------------------------
% 5.33/1.54 % (2127068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127068)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127068)Termination reason: Instruction limit
% 5.33/1.54 % (2127068)Termination phase: Saturation
% 5.33/1.54 % (2127068)Time elapsed: 0.004 s
% 5.33/1.54 % (2127068)Peak memory usage: 89 MB
% 5.33/1.54 % (2127068)Instructions burned: 4 (million)
% 5.33/1.54 % (2127073)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=4116215759:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 5.33/1.54 % (2127073)Instruction limit reached!
% 5.33/1.54 % (2127073)------------------------------
% 5.33/1.54 % (2127073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127073)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127073)Termination reason: Instruction limit
% 5.33/1.54 % (2127073)Termination phase: Saturation
% 5.33/1.54 % (2127073)Time elapsed: 0.002 s
% 5.33/1.54 % (2127073)Peak memory usage: 89 MB
% 5.33/1.54 % (2127073)Instructions burned: 4 (million)
% 5.33/1.54 % (2127070)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2664129636:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.33/1.54 % (2127071)lrs+10_1_thi=all:si=on:fd=off:random_seed=3133576183:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.33/1.54 % (2127072)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=3438903348:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.33/1.54 % (2127072)Instruction limit reached!
% 5.33/1.54 % (2127072)------------------------------
% 5.33/1.54 % (2127072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127072)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127072)Termination reason: Instruction limit
% 5.33/1.54 % (2127072)Termination phase: Saturation
% 5.33/1.54 % (2127072)Time elapsed: 0.006 s
% 5.33/1.54 % (2127072)Peak memory usage: 88 MB
% 5.33/1.54 % (2127072)Instructions burned: 8 (million)
% 5.33/1.54 % (2127071)Instruction limit reached!
% 5.33/1.54 % (2127071)------------------------------
% 5.33/1.54 % (2127071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127071)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127071)Termination reason: Instruction limit
% 5.33/1.54 % (2127071)Termination phase: Saturation
% 5.33/1.54 % (2127071)Time elapsed: 0.064 s
% 5.33/1.54 % (2127071)Peak memory usage: 116 MB
% 5.33/1.54 % (2127071)Instructions burned: 53 (million)
% 5.33/1.54 % (2127070)First to succeed.
% 5.33/1.54 % (2127070)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2127008"
% 5.33/1.54 % (2127075)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2425012962:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.33/1.54 % (2127075)Instruction limit reached!
% 5.33/1.54 % (2127075)------------------------------
% 5.33/1.54 % (2127075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127075)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127075)Termination reason: Instruction limit
% 5.33/1.54 % (2127075)Termination phase: Saturation
% 5.33/1.54 % (2127075)Time elapsed: 0.003 s
% 5.33/1.54 % (2127075)Peak memory usage: 89 MB
% 5.33/1.54 % (2127075)Instructions burned: 3 (million)
% 5.33/1.54 % (2127080)dis+10_1_si=on:random_seed=3779821391:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 5.33/1.54 % (2127080)Instruction limit reached!
% 5.33/1.54 % (2127080)------------------------------
% 5.33/1.54 % (2127080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127080)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127080)Termination reason: Instruction limit
% 5.33/1.54 % (2127080)Termination phase: Saturation
% 5.33/1.54 % (2127080)Time elapsed: 0.004 s
% 5.33/1.54 % (2127080)Peak memory usage: 88 MB
% 5.33/1.54 % (2127080)Instructions burned: 10 (million)
% 5.33/1.54 % (2127079)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3227991328:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 5.33/1.54 % (2127084)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3456011650:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 5.33/1.54 % (2127084)Refutation not found, incomplete strategy
% 5.33/1.54 % (2127084)------------------------------
% 5.33/1.54 % (2127084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127084)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127084)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.54 % (2127084)Time elapsed: 0.003 s
% 5.33/1.54 % (2127084)Peak memory usage: 89 MB
% 5.33/1.54 % (2127084)Instructions burned: 2 (million)
% 5.33/1.54 % (2127064)------------------------------
% 5.33/1.54 % (2127064)------------------------------
% 5.33/1.54 % (2127085)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1382305712:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 5.33/1.54 % (2127079)Instruction limit reached!
% 5.33/1.54 % (2127079)------------------------------
% 5.33/1.54 % (2127079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127079)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127079)Termination reason: Instruction limit
% 5.33/1.54 % (2127079)Termination phase: Saturation
% 5.33/1.54 % (2127079)Time elapsed: 0.105 s
% 5.33/1.54 % (2127079)Peak memory usage: 116 MB
% 5.33/1.54 % (2127079)Instructions burned: 127 (million)
% 5.33/1.54 % (2127089)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1807093894:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 5.33/1.54 % (2127087)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=431632914:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 5.33/1.54 % (2127085)Instruction limit reached!
% 5.33/1.54 % (2127085)------------------------------
% 5.33/1.54 % (2127085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127085)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127085)Termination reason: Instruction limit
% 5.33/1.54 % (2127085)Termination phase: Saturation
% 5.33/1.54 % (2127085)Time elapsed: 0.028 s
% 5.33/1.54 % (2127085)Peak memory usage: 89 MB
% 5.33/1.54 % (2127085)Instructions burned: 36 (million)
% 5.33/1.54 % (2127087)Instruction limit reached!
% 5.33/1.54 % (2127087)------------------------------
% 5.33/1.54 % (2127087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127087)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127087)Termination reason: Instruction limit
% 5.33/1.54 % (2127087)Termination phase: Saturation
% 5.33/1.54 % (2127087)Time elapsed: 0.002 s
% 5.33/1.54 % (2127087)Peak memory usage: 88 MB
% 5.33/1.54 % (2127087)Instructions burned: 2 (million)
% 5.33/1.54 % (2127089)Instruction limit reached!
% 5.33/1.54 % (2127089)------------------------------
% 5.33/1.54 % (2127089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.54 % (2127089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.54 % (2127089)CaDiCaL version: 2.1.3
% 5.33/1.54 % (2127089)Termination reason: Instruction limit
% 5.33/1.54 % (2127089)Termination phase: Saturation
% 5.33/1.54 % (2127089)Time elapsed: 0.004 s
% 5.33/1.54 % (2127089)Peak memory usage: 88 MB
% 5.33/1.54 % (2127089)Instructions burned: 9 (million)
% 5.33/1.54 % (2127070)Refutation found. Thanks to Tanya!
% 5.33/1.54 % SZS status Theorem for theBenchmark
% 5.33/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 6.76/1.73 % (2127070)------------------------------
% 6.76/1.73 % (2127070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.73 % (2127070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.73 % (2127070)CaDiCaL version: 2.1.3
% 6.76/1.73 % (2127070)Termination reason: Refutation
% 6.76/1.73 % (2127070)Time elapsed: 0.088 s
% 6.76/1.73 % (2127070)Peak memory usage: 136 MB
% 6.76/1.73 % (2127070)Instructions burned: 54 (million)
% 6.76/1.73 % (2127070)------------------------------
% 6.76/1.73 % (2127070)------------------------------
% 6.76/1.73 % (2127008)Success in time 0.868 s
% 6.76/1.73 % Vampire exiting
%------------------------------------------------------------------------------