%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX228_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:46:14 PM UTC 2026
% Result : Theorem 6.08s 1.91s
% Output : Refutation 9.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 110 ( 35 unt; 0 typ; 9 def)
% Number of atoms : 586 ( 100 equ)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 200 ( 84 ~; 89 |; 9 &)
% ( 17 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 428 ( 364 fml; 64 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 18 usr; 9 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 112 ( 0 sgn 108 !; 4 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_10,type,
bG0: $o > $o ).
tff(func_def_11,type,
bG1: $o > $o ).
tff(func_def_12,type,
bG2: ( $i * $i ) > $o ).
tff(func_def_13,type,
bG3: ( $i * $i ) > $o ).
tff(pred_def_1,type,
barbar: ( $o * $o ) > $o ).
tff(f2,axiom,
! [X0: $i,X1: $i] : ( tail(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
tff(f3,axiom,
! [X0: $i,X1: $i] : ( nil != cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
tff(f6,axiom,
! [X0: $o,X1: $o] :
( barbar((X0),(X1))
<=> ( (X0)
| (X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
tff(f9,axiom,
! [X0: $i] : ~ eqNat(s(X0),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
tff(f11,axiom,
eqNat(z,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
tff(f12,axiom,
! [X0: $i] : ~ elem(X0,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
tff(f13,axiom,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,cons(X1,X2))
<=> barbar(eqNat(X0,X1),elem(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).
tff(f14,axiom,
! [X0: $i] : ( union(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
tff(f15,axiom,
! [X0: $i,X1: $i,X2: $i] :
( elem(X1,X0)
=> ( union(cons(X1,X2),X0) = union(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
tff(f17,conjecture,
? [X0: $i,X1: $i] : ( union(X0,X1) != union(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_018) ).
tff(f18,negated_conjecture,
~ ? [X0: $i,X1: $i] : ( union(X0,X1) != union(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
tff(f19,plain,
! [X0: $o,X1: $o] :
( barbar((X0),(X1))
<=> ( (X0)
| (X1) ) ),
inference(rectify,[],[f6]) ).
tff(f20,definition,
! [X0: $o] :
( ( $true = (X0) )
<=> ( $true = bG0((X0)) ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f21,definition,
! [X1: $o] :
( ( $true = (X1) )
<=> ( $true = bG1((X1)) ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f22,plain,
! [X0: $o,X1: $o] :
( barbar(bG0((X0)),bG1((X1)))
<=> ( ( $true = (X0) )
| ( $true = (X1) ) ) ),
inference(fool_elimination,[],[f19,f21,f20]) ).
tff(f23,definition,
! [X1: $i,X0: $i] :
( eqNat(X0,X1)
<=> ( $true = bG2(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f24,definition,
! [X2: $i,X0: $i] :
( elem(X0,X2)
<=> ( $true = bG3(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[bG3])],[fool_formula_definition]) ).
tff(f25,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,cons(X1,X2))
<=> barbar(bG2(X1,X0),bG3(X2,X0)) ),
inference(fool_elimination,[],[f13,f24,f23]) ).
tff(f26,plain,
! [X0: $i,X1: $i] :
( elem(X1,X0)
<=> ( $true = bG3(X0,X1) ) ),
inference(rectify,[],[f24]) ).
tff(f27,plain,
! [X0: $i,X1: $i] :
( eqNat(X1,X0)
<=> ( $true = bG2(X0,X1) ) ),
inference(rectify,[],[f23]) ).
tff(f28,plain,
! [X0: $o] :
( ( $true = (X0) )
<=> ( $true = bG1((X0)) ) ),
inference(rectify,[],[f21]) ).
tff(f30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union(cons(X1,X2),X0) = union(X2,X0) )
| ~ elem(X1,X0) ),
inference(ennf_transformation,[],[f15]) ).
tff(f32,plain,
! [X0: $i,X1: $i] : ( union(X0,X1) = union(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
tff(f33,plain,
! [X0: $i,X1: $i] :
( ( elem(X1,X0)
| ( $true != bG3(X0,X1) ) )
& ( ( $true = bG3(X0,X1) )
| ~ elem(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
tff(f34,plain,
! [X0: $i,X1: $i] :
( ( eqNat(X1,X0)
| ( $true != bG2(X0,X1) ) )
& ( ( $true = bG2(X0,X1) )
| ~ eqNat(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
tff(f35,plain,
! [X0: $o] :
( ( ( $true = (X0) )
| ( $true != bG1((X0)) ) )
& ( ( $true = bG1((X0)) )
| ( $true != (X0) ) ) ),
inference(nnf_transformation,[],[f28]) ).
tff(f36,plain,
! [X0: $o] :
( ( ( $true = (X0) )
| ( $true != bG0((X0)) ) )
& ( ( $true = bG0((X0)) )
| ( $true != (X0) ) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f37,plain,
! [X0: $o,X1: $o] :
( ( barbar(bG0((X0)),bG1((X1)))
| ( ( $true != (X0) )
& ( $true != (X1) ) ) )
& ( ( $true = (X0) )
| ( $true = (X1) )
| ~ barbar(bG0((X0)),bG1((X1))) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f38,plain,
! [X0: $o,X1: $o] :
( ( barbar(bG0((X0)),bG1((X1)))
| ( ( $true != (X0) )
& ( $true != (X1) ) ) )
& ( ( $true = (X0) )
| ( $true = (X1) )
| ~ barbar(bG0((X0)),bG1((X1))) ) ),
inference(flattening,[],[f37]) ).
tff(f40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( elem(X0,cons(X1,X2))
| ~ barbar(bG2(X1,X0),bG3(X2,X0)) )
& ( barbar(bG2(X1,X0),bG3(X2,X0))
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f25]) ).
tff(f41,plain,
! [X0: $i,X1: $i] :
( ~ elem(X1,X0)
| ( $true = bG3(X0,X1) ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f42,plain,
! [X0: $i,X1: $i] :
( ( $true != bG3(X0,X1) )
| elem(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
tff(f43,plain,
! [X0: $i,X1: $i] :
( ~ eqNat(X1,X0)
| ( $true = bG2(X0,X1) ) ),
inference(cnf_transformation,[],[f34]) ).
tff(f44,plain,
! [X0: $i,X1: $i] :
( ( $true != bG2(X0,X1) )
| eqNat(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
tff(f45,plain,
! [X0: $o] :
( ( $true = bG1((X0)) )
| ( $true != (X0) ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f46,plain,
! [X0: $o] :
( ( $true != bG1((X0)) )
| ( $true = (X0) ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f47,plain,
! [X0: $o] :
( ( $true = bG0((X0)) )
| ( $true != (X0) ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f50,plain,
! [X0: $i,X1: $i] : ( tail(cons(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f2]) ).
tff(f51,plain,
! [X0: $i,X1: $i] : ( cons(X0,X1) != nil ),
inference(cnf_transformation,[],[f3]) ).
tff(f56,plain,
! [X0: $o,X1: $o] :
( barbar(bG0((X0)),bG1((X1)))
| ( $true != (X0) ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f59,plain,
! [X0: $i] : ~ eqNat(s(X0),z),
inference(cnf_transformation,[],[f9]) ).
tff(f61,plain,
eqNat(z,z),
inference(cnf_transformation,[],[f11]) ).
tff(f62,plain,
! [X0: $i] : ~ elem(X0,nil),
inference(cnf_transformation,[],[f12]) ).
tff(f64,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ barbar(bG2(X1,X0),bG3(X2,X0))
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f40]) ).
tff(f65,plain,
! [X0: $i] : ( union(nil,X0) = X0 ),
inference(cnf_transformation,[],[f14]) ).
tff(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ elem(X1,X0)
| ( union(cons(X1,X2),X0) = union(X2,X0) ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f68,plain,
! [X0: $i,X1: $i] : ( union(X0,X1) = union(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
tff(f70,plain,
$true = bG1($true),
inference(equality_resolution,[],[f45]) ).
tff(f71,plain,
$true = bG0($true),
inference(equality_resolution,[],[f47]) ).
tff(f72,plain,
! [X1: $o] : barbar(bG0($true),bG1((X1))),
inference(equality_resolution,[],[f56]) ).
tff(f78,plain,
barbar(bG0($true),$true),
inference(superposition,[],[f72,f70]) ).
tff(f79,plain,
barbar($true,$true),
inference(forward_demodulation,[],[f78,f71]) ).
tff(f86,definition,
( spl4_1
<=> ! [X1: $o] :
( ( $true = (X1) )
| ( bG1((X1)) = $false ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f87,plain,
( ! [X1: $o] :
( ( bG1((X1)) = $false )
| ( $true = (X1) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f99,definition,
( spl4_3
<=> ! [X0: $o] : ( $true = (X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
tff(f100,plain,
( ! [X0: $o] : ( $true = (X0) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f171,plain,
! [X0: $o] :
( ( $true != $true )
| ( $true = (X0) )
| ( bG1((X0)) = $false ) ),
inference(fool_paramodulation,[],[f46]) ).
tff(f177,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( bG1((X0)) = $false ) ),
inference(trivial_inequality_removal,[],[f171]) ).
tff(f205,plain,
$true = bG2(z,z),
inference(resolution,[],[f43,f61]) ).
tff(f209,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| eqNat(X1,X0) )
| ~ spl4_3 ),
inference(superposition,[],[f44,f100]) ).
tff(f210,plain,
( ! [X0: $i,X1: $i] : eqNat(X1,X0)
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f209]) ).
tff(f212,plain,
( $false
| ~ spl4_3 ),
inference(resolution,[],[f210,f59]) ).
tff(f217,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f212]) ).
tff(f218,plain,
spl4_1,
inference(avatar_split_clause,[],[f177,f86]) ).
tff(f240,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| elem(X1,X0)
| ( bG3(X0,X1) = $false ) ),
inference(fool_paramodulation,[],[f42]) ).
tff(f241,plain,
! [X0: $i,X1: $i] :
( elem(X1,X0)
| ( bG3(X0,X1) = $false ) ),
inference(trivial_inequality_removal,[],[f240]) ).
tff(f242,plain,
! [X0: $i] : ( $false = bG3(nil,X0) ),
inference(resolution,[],[f62,f241]) ).
tff(f245,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( union(cons(X0,X1),X2) = union(X1,X2) )
| ( bG3(X2,X0) = $false ) ),
inference(resolution,[],[f66,f241]) ).
tff(f250,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( union(X0,X1) = union(X1,cons(X2,X0)) )
| ( $false = bG3(X1,X2) ) ),
inference(superposition,[],[f68,f245]) ).
tff(f273,plain,
( ! [X0: $o] :
( barbar(bG0($true),$false)
| ( $true = (X0) ) )
| ~ spl4_1 ),
inference(superposition,[],[f72,f87]) ).
tff(f277,plain,
( ! [X0: $o] :
( barbar($true,$false)
| ( $true = (X0) ) )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f273,f71]) ).
tff(f279,definition,
( spl4_6
<=> barbar($true,$false) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
tff(f281,plain,
( barbar($true,$false)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f279]) ).
tff(f292,plain,
( spl4_3
| spl4_6
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f277,f86,f279,f99]) ).
tff(f567,plain,
! [X0: $i] :
( ~ barbar($true,bG3(X0,z))
| elem(z,cons(z,X0)) ),
inference(superposition,[],[f64,f205]) ).
tff(f580,plain,
( ~ barbar($true,$false)
| elem(z,cons(z,nil)) ),
inference(superposition,[],[f567,f242]) ).
tff(f583,plain,
( elem(z,cons(z,nil))
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f580,f281]) ).
tff(f586,plain,
( ( $true = bG3(cons(z,nil),z) )
| ~ spl4_6 ),
inference(resolution,[],[f583,f41]) ).
tff(f587,plain,
( ! [X0: $i] : ( union(cons(z,X0),cons(z,nil)) = union(X0,cons(z,nil)) )
| ~ spl4_6 ),
inference(resolution,[],[f583,f66]) ).
tff(f619,plain,
( ! [X0: $i] :
( ( union(X0,cons(z,nil)) = union(nil,cons(z,X0)) )
| ( $false = bG3(cons(z,X0),z) ) )
| ~ spl4_6 ),
inference(superposition,[],[f250,f587]) ).
tff(f621,plain,
( ! [X0: $i] : ( union(X0,cons(z,nil)) = union(cons(z,nil),cons(z,X0)) )
| ~ spl4_6 ),
inference(superposition,[],[f68,f587]) ).
tff(f622,plain,
( ! [X0: $i] :
( ( cons(z,X0) = union(X0,cons(z,nil)) )
| ( $false = bG3(cons(z,X0),z) ) )
| ~ spl4_6 ),
inference(forward_demodulation,[],[f619,f65]) ).
tff(f724,plain,
( ( union(nil,cons(z,nil)) = cons(z,cons(z,nil)) )
| ( $false = bG3(cons(z,cons(z,nil)),z) )
| ~ spl4_6 ),
inference(superposition,[],[f621,f622]) ).
tff(f725,plain,
( ( cons(z,nil) = cons(z,cons(z,nil)) )
| ( $false = bG3(cons(z,cons(z,nil)),z) )
| ~ spl4_6 ),
inference(forward_demodulation,[],[f724,f65]) ).
tff(f733,definition,
( spl4_9
<=> ( $false = bG3(cons(z,cons(z,nil)),z) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
tff(f735,plain,
( ( $false = bG3(cons(z,cons(z,nil)),z) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f733]) ).
tff(f737,definition,
( spl4_10
<=> ( cons(z,nil) = cons(z,cons(z,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
tff(f739,plain,
( ( cons(z,nil) = cons(z,cons(z,nil)) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f737]) ).
tff(f740,plain,
( spl4_9
| spl4_10
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f725,f279,f737,f733]) ).
tff(f744,plain,
( ( cons(z,nil) = tail(cons(z,nil)) )
| ~ spl4_10 ),
inference(superposition,[],[f50,f739]) ).
tff(f759,plain,
( ( nil = cons(z,nil) )
| ~ spl4_10 ),
inference(forward_demodulation,[],[f744,f50]) ).
tff(f762,plain,
( $false
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f759,f51]) ).
tff(f763,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f762]) ).
tff(f1261,plain,
( ~ barbar($true,$true)
| elem(z,cons(z,cons(z,nil)))
| ~ spl4_6 ),
inference(superposition,[],[f567,f586]) ).
tff(f1266,plain,
( elem(z,cons(z,cons(z,nil)))
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f1261,f79]) ).
tff(f1270,plain,
( ( $true = bG3(cons(z,cons(z,nil)),z) )
| ~ spl4_6 ),
inference(resolution,[],[f1266,f41]) ).
tff(f1272,plain,
( ( $true = $false )
| ~ spl4_6
| ~ spl4_9 ),
inference(forward_demodulation,[],[f1270,f735]) ).
tff(f1273,plain,
( $false
| ~ spl4_6
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f1272]) ).
tff(f1274,plain,
( ~ spl4_6
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f1273]) ).
cnf(s4,plain,
~ spl4_3,
inference(sat_conversion,[],[f217]) ).
cnf(s5,plain,
spl4_1,
inference(sat_conversion,[],[f218]) ).
cnf(s11,plain,
( ~ spl4_1
| spl4_3
| spl4_6 ),
inference(sat_conversion,[],[f292]) ).
cnf(s12,plain,
( ~ spl4_6
| spl4_9
| spl4_10 ),
inference(sat_conversion,[],[f740]) ).
cnf(s13,plain,
~ spl4_10,
inference(sat_conversion,[],[f763]) ).
cnf(s14,plain,
( ~ spl4_6
| ~ spl4_9 ),
inference(sat_conversion,[],[f1274]) ).
cnf(s15,plain,
( ~ spl4_6
| spl4_9 ),
inference(rat,[],[s12,s13]) ).
cnf(s16,plain,
spl4_6,
inference(rat,[],[s11,s5,s4]) ).
cnf(s20,plain,
~ spl4_9,
inference(rat,[],[s14,s16]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s15,s20,s16]) ).
tff(f1278,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX228_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:19:18 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 6.08/1.91 % (423356)Detected formulas, will run a generic FOF schedule.
% 6.08/1.91 % (423458)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2250158165:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.08/1.91 % (423455)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3456572464:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.08/1.91 % (423456)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3624997178:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.08/1.91 % (423454)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=138059249:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.08/1.91 % (423459)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1656528421:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.08/1.91 % (423460)dis-21_1_sil=8000:lcm=predicate:random_seed=3312381475:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.08/1.91 % (423457)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3976461415:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.08/1.91 % (423458)Instruction limit reached!
% 6.08/1.91 % (423458)------------------------------
% 6.08/1.91 % (423458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423458)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423458)Termination reason: Instruction limit
% 6.08/1.91 % (423458)Termination phase: Saturation
% 6.08/1.91 % (423458)Time elapsed: 0.035 s
% 6.08/1.91 % (423458)Peak memory usage: 88 MB
% 6.08/1.91 % (423458)Instructions burned: 123 (million)
% 6.08/1.91 % (423457)Instruction limit reached!
% 6.08/1.91 % (423457)------------------------------
% 6.08/1.91 % (423457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423457)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423457)Termination reason: Instruction limit
% 6.08/1.91 % (423457)Termination phase: Saturation
% 6.08/1.91 % (423457)Time elapsed: 0.063 s
% 6.08/1.91 % (423457)Peak memory usage: 89 MB
% 6.08/1.91 % (423457)Instructions burned: 111 (million)
% 6.08/1.91 % (423460)Instruction limit reached!
% 6.08/1.91 % (423460)------------------------------
% 6.08/1.91 % (423460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423460)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423460)Termination reason: Instruction limit
% 6.08/1.91 % (423460)Termination phase: Saturation
% 6.08/1.91 % (423460)Time elapsed: 0.070 s
% 6.08/1.91 % (423460)Peak memory usage: 89 MB
% 6.08/1.91 % (423460)Instructions burned: 130 (million)
% 6.08/1.91 % (423459)Instruction limit reached!
% 6.08/1.91 % (423459)------------------------------
% 6.08/1.91 % (423459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423459)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423459)Termination reason: Instruction limit
% 6.08/1.91 % (423459)Termination phase: Saturation
% 6.08/1.91 % (423459)Time elapsed: 0.077 s
% 6.08/1.91 % (423459)Peak memory usage: 89 MB
% 6.08/1.91 % (423459)Instructions burned: 140 (million)
% 6.08/1.91 % (423468)lrs+10_1_sil=8000:sp=occurrence:random_seed=1990283805:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.08/1.91 % (423468)Instruction limit reached!
% 6.08/1.91 % (423468)------------------------------
% 6.08/1.91 % (423468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423468)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423468)Termination reason: Instruction limit
% 6.08/1.91 % (423468)Termination phase: Saturation
% 6.08/1.91 % (423468)Time elapsed: 0.073 s
% 6.08/1.91 % (423468)Peak memory usage: 89 MB
% 6.08/1.91 % (423468)Instructions burned: 289 (million)
% 6.08/1.91 % (423470)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1285963458:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.08/1.91 % (423469)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2444916479:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.08/1.91 % (423469)Refutation not found, incomplete strategy
% 6.08/1.91 % (423469)------------------------------
% 6.08/1.91 % (423469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423469)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423469)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.91 % (423469)Time elapsed: 0.002 s
% 6.08/1.91 % (423469)Peak memory usage: 88 MB
% 6.08/1.91 % (423469)Instructions burned: 1 (million)
% 6.08/1.91 % (423471)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=415694568:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.08/1.91 % (423475)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2750016368:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.08/1.91 % (423470)Instruction limit reached!
% 6.08/1.91 % (423470)------------------------------
% 6.08/1.91 % (423470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423470)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423470)Termination reason: Instruction limit
% 6.08/1.91 % (423470)Termination phase: Saturation
% 6.08/1.91 % (423470)Time elapsed: 0.152 s
% 6.08/1.91 % (423470)Peak memory usage: 89 MB
% 6.08/1.91 % (423470)Instructions burned: 327 (million)
% 6.08/1.91 % (423471)Instruction limit reached!
% 6.08/1.91 % (423471)------------------------------
% 6.08/1.91 % (423471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423471)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423471)Termination reason: Instruction limit
% 6.08/1.91 % (423471)Termination phase: Saturation
% 6.08/1.91 % (423471)Time elapsed: 0.147 s
% 6.08/1.91 % (423471)Peak memory usage: 90 MB
% 6.08/1.91 % (423471)Instructions burned: 249 (million)
% 6.08/1.91 % (423475)Instruction limit reached!
% 6.08/1.91 % (423475)------------------------------
% 6.08/1.91 % (423475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423475)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423475)Termination reason: Instruction limit
% 6.08/1.91 % (423475)Termination phase: Saturation
% 6.08/1.91 % (423475)Time elapsed: 0.089 s
% 6.08/1.91 % (423475)Peak memory usage: 89 MB
% 6.08/1.91 % (423475)Instructions burned: 296 (million)
% 6.08/1.91 % (423469)------------------------------
% 6.08/1.91 % (423469)------------------------------
% 6.08/1.91 % (423478)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=170590687:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.08/1.91 % (423479)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1886118597:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.08/1.91 % (423480)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=732607006:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.08/1.91 % (423480)Refutation not found, incomplete strategy
% 6.08/1.91 % (423480)------------------------------
% 6.08/1.91 % (423480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423480)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423480)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.91 % (423480)Time elapsed: 0.001 s
% 6.08/1.91 % (423480)Peak memory usage: 88 MB
% 6.08/1.91 % (423480)Instructions burned: 1 (million)
% 6.08/1.91 % (423479)Instruction limit reached!
% 6.08/1.91 % (423479)------------------------------
% 6.08/1.91 % (423479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423479)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423479)Termination reason: Instruction limit
% 6.08/1.91 % (423479)Termination phase: Saturation
% 6.08/1.91 % (423479)Time elapsed: 0.068 s
% 6.08/1.91 % (423479)Peak memory usage: 89 MB
% 6.08/1.91 % (423479)Instructions burned: 113 (million)
% 6.08/1.91 % (423481)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2290844781:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.08/1.91 % (423481)Instruction limit reached!
% 6.08/1.91 % (423481)------------------------------
% 6.08/1.91 % (423481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.91 % (423481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.91 % (423481)CaDiCaL version: 2.1.3
% 6.08/1.91 % (423481)Termination reason: Instruction limit
% 6.08/1.91 % (423481)Termination phase: Saturation
% 6.08/1.91 % (423481)Time elapsed: 0.058 s
% 6.08/1.91 % (423481)Peak memory usage: 88 MB
% 6.08/1.91 % (423481)Instructions burned: 115 (million)
% 6.08/1.91 % (423480)------------------------------
% 6.08/1.91 % (423480)------------------------------
% 6.08/1.91 % (423485)lrs+10_1_sil=8000:sp=occurrence:random_seed=1716061401:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.08/1.91 % (423454)First to succeed.
% 6.08/1.91 % (423454)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-423356"
% 6.08/1.91 % (423488)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3692274354:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.08/1.91 % (423487)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2020782495:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.08/1.91 % (423487)Also succeeded, but the first one will report.
% 6.08/1.91 % (423456)Also succeeded, but the first one will report.
% 6.08/1.91 % (423454)Refutation found. Thanks to Tanya!
% 6.08/1.91 % SZS status Theorem for theBenchmark
% 6.08/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 9.28/2.11 % (423454)------------------------------
% 9.28/2.11 % (423454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.28/2.11 % (423454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/2.11 % (423454)CaDiCaL version: 2.1.3
% 9.28/2.11 % (423454)Termination reason: Refutation
% 9.28/2.11 % (423454)Time elapsed: 0.792 s
% 9.28/2.11 % (423454)Peak memory usage: 128 MB
% 9.28/2.11 % (423454)Instructions burned: 1159 (million)
% 9.28/2.11 % (423454)------------------------------
% 9.28/2.11 % (423454)------------------------------
% 9.28/2.11 % (423356)Success in time 1.227 s
% 9.28/2.11 % Vampire exiting
%------------------------------------------------------------------------------