%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC484_1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:04:01 PM UTC 2026
% Result : Theorem 10.39s 2.27s
% Output : Refutation 10.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 22 unt; 0 typ; 3 def)
% Number of atoms : 94 ( 47 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 82 ( 36 ~; 28 |; 9 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 360 ( 29 atm; 131 fun; 165 num; 35 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 : 22 ( 10 usr; 11 con; 0-2 aty)
% Number of variables : 35 ( 32 !; 3 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
u0: ( $int * $int ) > $int ).
tff(func_def_1,type,
v0: $int ).
tff(func_def_2,type,
h0: $int ).
tff(func_def_3,type,
fast: $int > $int ).
tff(func_def_4,type,
g0: $int ).
tff(func_def_5,type,
'mod:(Int*Int)>Int': ( $int * $int ) > $int ).
tff(func_def_6,type,
small: $int > $int ).
tff(func_def_7,type,
f0: $int > $int ).
tff(func_def_15,type,
sK0: $int ).
tff(func_def_18,type,
-1: $int > $int ).
tff(func_def_19,type,
2: $int > $int ).
tff(func_def_21,type,
'$inst2': $int ).
tff(f1,axiom,
! [X0: $int] : ( f0(X0) = $product(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(f2,axiom,
g0 = 2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).
tff(f3,axiom,
h0 = 2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).
tff(f4,axiom,
! [X1: $int,X0: $int] :
( ( ~ $lesseq(X0,0)
=> ( u0(X0,X1) = f0(u0($difference(X0,1),X1)) ) )
& ( $lesseq(X0,0)
=> ( u0(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4) ).
tff(f5,axiom,
v0 = u0(g0,h0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5) ).
tff(f6,axiom,
! [X0: $int] : ( small(X0) = $sum(2,$sum($difference(X0,'mod:(Int*Int)>Int'($sum(1,X0),v0)),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X0: $int] : ( fast(X0) = $sum(2,$sum($difference(X0,'mod:(Int*Int)>Int'($sum(1,X0),$product(2,$product(2,$sum(2,2))))),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7) ).
tff(f8,conjecture,
~ ? [X0: $int] :
( $greatereq(X0,0)
& ( small(X0) != fast(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
tff(f9,negated_conjecture,
~ ~ ? [X0: $int] :
( $greatereq(X0,0)
& ( small(X0) != fast(X0) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
tff(f10,plain,
? [X0: $int] :
( ( small(X0) != fast(X0) )
& ~ $less(X0,0) ),
inference(theory_normalization,[],[f9]) ).
tff(f11,plain,
! [X0: $int] : ( fast(X0) = $sum(2,$sum($sum(X0,$uminus('mod:(Int*Int)>Int'($sum(1,X0),$product(2,$product(2,$sum(2,2)))))),X0)) ),
inference(theory_normalization,[],[f7]) ).
tff(f12,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X0)
=> ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) ) )
& ( ~ $less(0,X0)
=> ( u0(X0,X1) = X1 ) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f13,plain,
! [X0: $int] : ( small(X0) = $sum(2,$sum($sum(X0,$uminus('mod:(Int*Int)>Int'($sum(1,X0),v0))),X0)) ),
inference(theory_normalization,[],[f6]) ).
tff(f32,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(0,X1)
=> ( u0(X1,X0) = X0 ) )
& ( $less(0,X1)
=> ( f0(u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) ) ) ),
inference(rectify,[],[f12]) ).
tff(f33,plain,
! [X1: $int,X0: $int] :
( ( ( f0(u0($sum(X1,$uminus(1)),X0)) = u0(X1,X0) )
| ~ $less(0,X1) )
& ( ( u0(X1,X0) = X0 )
| $less(0,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
tff(f34,plain,
! [X0: $int,X1: $int] :
( ( ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) )
| ~ $less(0,X0) )
& ( ( u0(X0,X1) = X1 )
| $less(0,X0) ) ),
inference(rectify,[],[f33]) ).
tff(f35,plain,
( ( fast(sK0) != small(sK0) )
& ~ $less(sK0,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f10]) ).
tff(f36,plain,
2 = h0,
inference(cnf_transformation,[],[f3]) ).
tff(f37,plain,
! [X0: $int] : ( small(X0) = $sum(2,$sum($sum(X0,$uminus('mod:(Int*Int)>Int'($sum(1,X0),v0))),X0)) ),
inference(cnf_transformation,[],[f13]) ).
tff(f38,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = X1 )
| $less(0,X0) ),
inference(cnf_transformation,[],[f34]) ).
tff(f39,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1)) )
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f34]) ).
tff(f40,plain,
! [X0: $int] : ( f0(X0) = $product(X0,X0) ),
inference(cnf_transformation,[],[f1]) ).
tff(f42,plain,
fast(sK0) != small(sK0),
inference(cnf_transformation,[],[f35]) ).
tff(f43,plain,
g0 = 2,
inference(cnf_transformation,[],[f2]) ).
tff(f44,plain,
! [X0: $int] : ( fast(X0) = $sum(2,$sum($sum(X0,$uminus('mod:(Int*Int)>Int'($sum(1,X0),$product(2,$product(2,$sum(2,2)))))),X0)) ),
inference(cnf_transformation,[],[f11]) ).
tff(f45,plain,
v0 = u0(g0,h0),
inference(cnf_transformation,[],[f5]) ).
tff(f46,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( u0(X0,X1) = $product(u0($sum(X0,$uminus(1)),X1),u0($sum(X0,$uminus(1)),X1)) ) ),
inference(definition_unfolding,[],[f39,f40]) ).
tff(f47,plain,
$sum(2,$sum($sum(sK0,$uminus('mod:(Int*Int)>Int'($sum(1,sK0),v0))),sK0)) != $sum(2,$sum($sum(sK0,$uminus('mod:(Int*Int)>Int'($sum(1,sK0),$product(2,$product(2,$sum(2,2)))))),sK0)),
inference(definition_unfolding,[],[f42,f44,f37]) ).
tff(f48,plain,
v0 = u0(2,2),
inference(definition_unfolding,[],[f45,f43,f36]) ).
tff(f50,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $product(u0($sum(-1,X0),X1),u0($sum(-1,X0),X1)) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f46]) ).
tff(f51,plain,
$sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),v0)))) != $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),16)))),
inference(evaluation,[],[f47]) ).
tff(f58,definition,
( spl1_2
<=> ( v0 = u0(2,2) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f60,plain,
( ( v0 = u0(2,2) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f58]) ).
tff(f61,plain,
spl1_2,
inference(avatar_split_clause,[],[f48,f58]) ).
tff(f63,definition,
( spl1_3
<=> ( $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),v0)))) = $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),16)))) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f65,plain,
( ( $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),v0)))) != $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),16)))) )
| spl1_3 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f66,plain,
~ spl1_3,
inference(avatar_split_clause,[],[f51,f63]) ).
tff(f67,plain,
( ( $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),u0(2,2))))) != $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),16)))) )
| ~ spl1_2
| spl1_3 ),
inference(superposition,[],[f65,f60]) ).
tff(f69,definition,
( spl1_4
<=> ( $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),u0(2,2))))) = $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),16)))) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f71,plain,
( ( $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),u0(2,2))))) != $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),16)))) )
| spl1_4 ),
inference(avatar_component_clause,[],[f69]) ).
tff(f72,plain,
( ~ spl1_4
| ~ spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f67,f63,f58,f69]) ).
tff(f79,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $product(X1,X1) )
| ~ $less(0,X0)
| $less(0,$sum(-1,X0)) ),
inference(superposition,[],[f50,f38]) ).
tff(f94,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,$sum(-1,X0))
| ( u0(X0,X1) = $product($product(X1,X1),$product(X1,X1)) )
| ~ $less(0,X0)
| $less(0,$sum(-1,$sum(-1,X0))) ),
inference(superposition,[],[f50,f79]) ).
tff(f95,plain,
! [X0: $int,X1: $int] :
( ( u0(X0,X1) = $product(X1,$product(X1,$product(X1,X1))) )
| ~ $less(0,X0)
| $less(0,$sum(-2,X0))
| ~ $less(0,$sum(-1,X0)) ),
inference(evaluation,[],[f94]) ).
tff(f112,plain,
( ~ $less(0,$sum(-1,2))
| ~ $less(0,2)
| $less(0,$sum(-2,2))
| ( $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),$product(2,$product(2,$product(2,2))))))) != $sum(2,$sum(2(sK0),-1('mod:(Int*Int)>Int'($sum(1,sK0),16)))) )
| spl1_4 ),
inference(superposition,[],[f71,f95]) ).
tff(f115,plain,
( $false
| spl1_4 ),
inference(evaluation,[],[f112]) ).
tff(f116,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f115]) ).
tff(f119,plain,
$false,
inference(avatar_smt_refutation,[],[f116,f72,f66,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC484_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n016.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 09:45:34 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.37/1.54 % (3514636)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.37/1.54 % (3514782)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3289354673:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.37/1.54 % (3514782)Instruction limit reached!
% 5.37/1.54 % (3514782)------------------------------
% 5.37/1.54 % (3514782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.54 % (3514782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.54 % (3514782)CaDiCaL version: 2.1.3
% 5.37/1.54 % (3514782)Termination reason: Instruction limit
% 5.37/1.54 % (3514782)Termination phase: Saturation
% 5.37/1.54 % (3514782)Time elapsed: 0.004 s
% 5.37/1.54 % (3514782)Peak memory usage: 89 MB
% 5.37/1.54 % (3514782)Instructions burned: 5 (million)
% 5.37/1.54 % (3514779)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4142115214:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.37/1.54 % (3514778)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3047566588:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.37/1.54 % (3514777)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2228460:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.37/1.54 % (3514781)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3182846519:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.37/1.54 % (3514781)Instruction limit reached!
% 5.37/1.54 % (3514781)------------------------------
% 5.37/1.54 % (3514781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.54 % (3514781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.54 % (3514781)CaDiCaL version: 2.1.3
% 5.37/1.54 % (3514781)Termination reason: Instruction limit
% 5.37/1.54 % (3514781)Termination phase: Saturation
% 5.37/1.54 % (3514781)Time elapsed: 0.009 s
% 5.37/1.54 % (3514781)Peak memory usage: 88 MB
% 5.37/1.54 % (3514781)Instructions burned: 7 (million)
% 5.37/1.54 % (3514783)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1288667662:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.37/1.54 % (3514784)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1356533559:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.37/1.54 % (3514777)Instruction limit reached!
% 5.37/1.54 % (3514777)------------------------------
% 5.37/1.54 % (3514777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.54 % (3514777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.54 % (3514777)CaDiCaL version: 2.1.3
% 5.37/1.54 % (3514777)Termination reason: Instruction limit
% 5.37/1.54 % (3514777)Termination phase: Saturation
% 5.37/1.54 % (3514777)Time elapsed: 0.045 s
% 5.37/1.54 % (3514777)Peak memory usage: 116 MB
% 5.37/1.54 % (3514777)Instructions burned: 12 (million)
% 5.37/1.54 % (3514784)Instruction limit reached!
% 5.37/1.54 % (3514784)------------------------------
% 5.37/1.54 % (3514784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.54 % (3514784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.54 % (3514784)CaDiCaL version: 2.1.3
% 5.37/1.54 % (3514784)Termination reason: Instruction limit
% 5.37/1.54 % (3514784)Termination phase: Saturation
% 5.37/1.54 % (3514784)Time elapsed: 0.064 s
% 5.37/1.54 % (3514784)Peak memory usage: 116 MB
% 5.37/1.54 % (3514784)Instructions burned: 33 (million)
% 5.37/1.54 % (3514783)Instruction limit reached!
% 5.37/1.54 % (3514783)------------------------------
% 5.37/1.54 % (3514783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.54 % (3514783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.54 % (3514783)CaDiCaL version: 2.1.3
% 5.37/1.54 % (3514783)Termination reason: Instruction limit
% 5.37/1.54 % (3514783)Termination phase: Saturation
% 5.37/1.54 % (3514783)Time elapsed: 0.074 s
% 5.37/1.54 % (3514783)Peak memory usage: 115 MB
% 5.37/1.54 % (3514783)Instructions burned: 51 (million)
% 5.37/1.54 % (3514778)Refutation not found, incomplete strategy
% 5.37/1.54 % (3514778)------------------------------
% 5.37/1.54 % (3514778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.54 % (3514778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.94 % (3514778)CaDiCaL version: 2.1.3
% 7.13/1.94 % (3514778)Termination reason: Refutation not found, incomplete strategy
% 7.13/1.94 % (3514778)Time elapsed: 0.131 s
% 7.13/1.94 % (3514778)Peak memory usage: 116 MB
% 7.13/1.94 % (3514778)Instructions burned: 99 (million)
% 7.13/1.94 % (3514805)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3156837742:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 7.13/1.94 % (3514805)Instruction limit reached!
% 7.13/1.94 % (3514805)------------------------------
% 7.13/1.94 % (3514805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.94 % (3514805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.94 % (3514805)CaDiCaL version: 2.1.3
% 7.13/1.94 % (3514805)Termination reason: Instruction limit
% 7.13/1.94 % (3514805)Termination phase: Saturation
% 7.13/1.94 % (3514805)Time elapsed: 0.009 s
% 7.13/1.94 % (3514805)Peak memory usage: 88 MB
% 7.13/1.94 % (3514805)Instructions burned: 16 (million)
% 7.13/1.94 % (3514779)Instruction limit reached!
% 7.13/1.94 % (3514779)------------------------------
% 7.13/1.94 % (3514779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.94 % (3514779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.94 % (3514779)CaDiCaL version: 2.1.3
% 7.13/1.94 % (3514779)Termination reason: Instruction limit
% 7.13/1.94 % (3514779)Termination phase: Saturation
% 7.13/1.94 % (3514779)Time elapsed: 0.221 s
% 7.13/1.94 % (3514779)Peak memory usage: 117 MB
% 7.13/1.94 % (3514779)Instructions burned: 201 (million)
% 7.13/1.94 % (3514812)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=924166321:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 7.13/1.94 % (3514812)Instruction limit reached!
% 7.13/1.94 % (3514812)------------------------------
% 7.13/1.94 % (3514812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.94 % (3514812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.94 % (3514812)CaDiCaL version: 2.1.3
% 7.13/1.94 % (3514812)Termination reason: Instruction limit
% 7.13/1.94 % (3514812)Termination phase: Saturation
% 7.13/1.94 % (3514812)Time elapsed: 0.031 s
% 7.13/1.94 % (3514812)Peak memory usage: 88 MB
% 7.13/1.94 % (3514812)Instructions burned: 29 (million)
% 7.13/1.94 % (3514818)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3144761690:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 7.13/1.94 % (3514818)Instruction limit reached!
% 7.13/1.94 % (3514818)------------------------------
% 7.13/1.94 % (3514818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.94 % (3514818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.94 % (3514818)CaDiCaL version: 2.1.3
% 7.13/1.94 % (3514818)Termination reason: Instruction limit
% 7.13/1.94 % (3514818)Termination phase: Saturation
% 7.13/1.94 % (3514818)Time elapsed: 0.018 s
% 7.13/1.94 % (3514818)Peak memory usage: 90 MB
% 7.13/1.94 % (3514818)Instructions burned: 17 (million)
% 7.13/1.94 % (3514821)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=815122182:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 7.13/1.94 % (3514822)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=2658273042:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.13/1.94 % (3514824)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3488636635:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 7.13/1.94 % (3514821)Instruction limit reached!
% 7.13/1.94 % (3514821)------------------------------
% 7.13/1.94 % (3514821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.94 % (3514821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.94 % (3514821)CaDiCaL version: 2.1.3
% 7.13/1.94 % (3514821)Termination reason: Instruction limit
% 7.13/1.94 % (3514821)Termination phase: Saturation
% 7.13/1.94 % (3514821)Time elapsed: 0.031 s
% 7.13/1.94 % (3514821)Peak memory usage: 89 MB
% 7.13/1.94 % (3514821)Instructions burned: 24 (million)
% 7.13/1.94 % (3514822)Instruction limit reached!
% 7.13/1.94 % (3514822)------------------------------
% 7.13/1.94 % (3514822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514822)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514822)Termination reason: Instruction limit
% 9.33/2.06 % (3514822)Termination phase: Saturation
% 9.33/2.06 % (3514822)Time elapsed: 0.032 s
% 9.33/2.06 % (3514822)Peak memory usage: 89 MB
% 9.33/2.06 % (3514822)Instructions burned: 27 (million)
% 9.33/2.06 % (3514824)Instruction limit reached!
% 9.33/2.06 % (3514824)------------------------------
% 9.33/2.06 % (3514824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514824)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514824)Termination reason: Instruction limit
% 9.33/2.06 % (3514824)Termination phase: Saturation
% 9.33/2.06 % (3514824)Time elapsed: 0.043 s
% 9.33/2.06 % (3514824)Peak memory usage: 89 MB
% 9.33/2.06 % (3514824)Instructions burned: 86 (million)
% 9.33/2.06 % (3514825)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2996145274:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 9.33/2.06 % (3514825)Instruction limit reached!
% 9.33/2.06 % (3514825)------------------------------
% 9.33/2.06 % (3514825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514825)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514825)Termination reason: Instruction limit
% 9.33/2.06 % (3514825)Termination phase: Saturation
% 9.33/2.06 % (3514825)Time elapsed: 0.004 s
% 9.33/2.06 % (3514825)Peak memory usage: 88 MB
% 9.33/2.06 % (3514825)Instructions burned: 2 (million)
% 9.33/2.06 % (3514778)------------------------------
% 9.33/2.06 % (3514778)------------------------------
% 9.33/2.06 % (3514829)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3714849393:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.33/2.06 % (3514829)Instruction limit reached!
% 9.33/2.06 % (3514829)------------------------------
% 9.33/2.06 % (3514829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514829)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514829)Termination reason: Instruction limit
% 9.33/2.06 % (3514829)Termination phase: Saturation
% 9.33/2.06 % (3514829)Time elapsed: 0.007 s
% 9.33/2.06 % (3514829)Peak memory usage: 89 MB
% 9.33/2.06 % (3514829)Instructions burned: 5 (million)
% 9.33/2.06 % (3514827)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3634226424:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.33/2.06 % (3514827)Refutation not found, incomplete strategy
% 9.33/2.06 % (3514827)------------------------------
% 9.33/2.06 % (3514827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514827)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514827)Termination reason: Refutation not found, incomplete strategy
% 9.33/2.06 % (3514827)Time elapsed: 0.049 s
% 9.33/2.06 % (3514827)Peak memory usage: 90 MB
% 9.33/2.06 % (3514827)Instructions burned: 44 (million)
% 9.33/2.06 % (3514836)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=3948498559:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 9.33/2.06 % (3514834)lrs+10_1_thi=all:si=on:fd=off:random_seed=401158562:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 9.33/2.06 % (3514833)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1731855534:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2993 on theBenchmark for (2993ds/66Mi)
% 9.33/2.06 % (3514836)Instruction limit reached!
% 9.33/2.06 % (3514836)------------------------------
% 9.33/2.06 % (3514836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514836)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514836)Termination reason: Instruction limit
% 9.33/2.06 % (3514836)Termination phase: Saturation
% 9.33/2.06 % (3514836)Time elapsed: 0.006 s
% 9.33/2.06 % (3514836)Peak memory usage: 88 MB
% 9.33/2.06 % (3514836)Instructions burned: 9 (million)
% 9.33/2.06 % (3514833)First to succeed.
% 9.33/2.06 % (3514834)Instruction limit reached!
% 9.33/2.06 % (3514834)------------------------------
% 9.33/2.06 % (3514834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514834)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514834)Termination reason: Instruction limit
% 9.33/2.06 % (3514834)Termination phase: Saturation
% 9.33/2.06 % (3514834)Time elapsed: 0.095 s
% 9.33/2.06 % (3514834)Peak memory usage: 115 MB
% 9.33/2.06 % (3514834)Instructions burned: 53 (million)
% 9.33/2.06 % (3514833)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3514636"
% 9.33/2.06 % (3514845)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3599383975:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 9.33/2.06 % (3514845)Instruction limit reached!
% 9.33/2.06 % (3514845)------------------------------
% 9.33/2.06 % (3514845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514845)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514845)Termination reason: Instruction limit
% 9.33/2.06 % (3514845)Termination phase: Saturation
% 9.33/2.06 % (3514845)Time elapsed: 0.004 s
% 9.33/2.06 % (3514845)Peak memory usage: 89 MB
% 9.33/2.06 % (3514845)Instructions burned: 2 (million)
% 9.33/2.06 % (3514850)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=838042420:i=127:doe=on:rtra=on_2992 on theBenchmark for (2992ds/127Mi)
% 9.33/2.06 % (3514849)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=166234657:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 9.33/2.06 % (3514849)Instruction limit reached!
% 9.33/2.06 % (3514849)------------------------------
% 9.33/2.06 % (3514849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514849)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514849)Termination reason: Instruction limit
% 9.33/2.06 % (3514849)Termination phase: Saturation
% 9.33/2.06 % (3514849)Time elapsed: 0.004 s
% 9.33/2.06 % (3514849)Peak memory usage: 89 MB
% 9.33/2.06 % (3514849)Instructions burned: 2 (million)
% 9.33/2.06 % (3514855)dis+10_1_si=on:random_seed=3447722865:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 9.33/2.06 % (3514855)Instruction limit reached!
% 9.33/2.06 % (3514855)------------------------------
% 9.33/2.06 % (3514855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514855)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514855)Termination reason: Instruction limit
% 9.33/2.06 % (3514855)Termination phase: Saturation
% 9.33/2.06 % (3514855)Time elapsed: 0.007 s
% 9.33/2.06 % (3514855)Peak memory usage: 88 MB
% 9.33/2.06 % (3514855)Instructions burned: 12 (million)
% 9.33/2.06 % (3514857)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=149849954:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 9.33/2.06 % (3514857)Refutation not found, incomplete strategy
% 9.33/2.06 % (3514857)------------------------------
% 9.33/2.06 % (3514857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514857)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514857)Termination reason: Refutation not found, incomplete strategy
% 9.33/2.06 % (3514857)Time elapsed: 0.003 s
% 9.33/2.06 % (3514857)Peak memory usage: 89 MB
% 9.33/2.06 % (3514857)Instructions burned: 2 (million)
% 9.33/2.06 % (3514850)Instruction limit reached!
% 9.33/2.06 % (3514850)------------------------------
% 9.33/2.06 % (3514850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.06 % (3514850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.06 % (3514850)CaDiCaL version: 2.1.3
% 9.33/2.06 % (3514850)Termination reason: Instruction limit
% 9.33/2.06 % (3514850)Termination phase: Saturation
% 9.33/2.06 % (3514850)Time elapsed: 0.164 s
% 9.33/2.06 % (3514850)Peak memory usage: 117 MB
% 9.33/2.06 % (3514850)Instructions burned: 128 (million)
% 9.33/2.06 % (3514827)------------------------------
% 9.33/2.06 % (3514827)------------------------------
% 9.33/2.06 % (3514861)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2298996844: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_2989 on theBenchmark for (2989ds/35Mi)
% 10.39/2.27 % (3514871)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=964534733:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2989 on theBenchmark for (2989ds/8Mi)
% 10.39/2.27 % (3514866)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1471993447:i=2:fsr=off:rtra=on:inst=on_2989 on theBenchmark for (2989ds/2Mi)
% 10.39/2.27 % (3514871)Instruction limit reached!
% 10.39/2.27 % (3514871)------------------------------
% 10.39/2.27 % (3514871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.27 % (3514871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.27 % (3514871)CaDiCaL version: 2.1.3
% 10.39/2.27 % (3514871)Termination reason: Instruction limit
% 10.39/2.27 % (3514871)Termination phase: Saturation
% 10.39/2.27 % (3514871)Time elapsed: 0.006 s
% 10.39/2.27 % (3514871)Peak memory usage: 89 MB
% 10.39/2.27 % (3514871)Instructions burned: 8 (million)
% 10.39/2.27 % (3514866)Instruction limit reached!
% 10.39/2.27 % (3514866)------------------------------
% 10.39/2.27 % (3514866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.27 % (3514866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.27 % (3514866)CaDiCaL version: 2.1.3
% 10.39/2.27 % (3514866)Termination reason: Instruction limit
% 10.39/2.27 % (3514866)Termination phase: Saturation
% 10.39/2.27 % (3514866)Time elapsed: 0.004 s
% 10.39/2.27 % (3514866)Peak memory usage: 88 MB
% 10.39/2.27 % (3514866)Instructions burned: 3 (million)
% 10.39/2.27 % (3514861)Instruction limit reached!
% 10.39/2.27 % (3514861)------------------------------
% 10.39/2.27 % (3514861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.27 % (3514861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.27 % (3514861)CaDiCaL version: 2.1.3
% 10.39/2.27 % (3514861)Termination reason: Instruction limit
% 10.39/2.27 % (3514861)Termination phase: Saturation
% 10.39/2.27 % (3514861)Time elapsed: 0.046 s
% 10.39/2.27 % (3514861)Peak memory usage: 89 MB
% 10.39/2.27 % (3514861)Instructions burned: 35 (million)
% 10.39/2.27 % (3514833)Refutation found. Thanks to Tanya!
% 10.39/2.27 % SZS status Theorem for theBenchmark
% 10.39/2.27 % SZS output start Proof for theBenchmark
% See solution above
% 10.39/2.27 % (3514833)------------------------------
% 10.39/2.27 % (3514833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.27 % (3514833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.27 % (3514833)CaDiCaL version: 2.1.3
% 10.39/2.27 % (3514833)Termination reason: Refutation
% 10.39/2.27 % (3514833)Time elapsed: 0.095 s
% 10.39/2.27 % (3514833)Peak memory usage: 134 MB
% 10.39/2.27 % (3514833)Instructions burned: 26 (million)
% 10.39/2.27 % (3514833)------------------------------
% 10.39/2.27 % (3514833)------------------------------
% 10.39/2.27 % (3514636)Success in time 1.389 s
% 10.39/2.27 % Vampire exiting
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