%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT070_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:47:14 AM UTC 2026
% Result : Theorem 3.03s 0.98s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 6 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 53 ( 8 atm; 13 fun; 13 num; 19 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
toop: heap > $int ).
tff(func_def_2,type,
sel: ( heap * $int ) > $int ).
tff(func_def_3,type,
length: heap > $int ).
tff(func_def_4,type,
app: ( heap * $int ) > heap ).
tff(func_def_5,type,
get: heap > heap ).
tff(func_def_10,type,
sK0: $int ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: heap ).
tff(func_def_15,type,
'$inst4': $int ).
tff(func_def_16,type,
'$inst5': $int ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f3,axiom,
! [X0: $int,X2: $int,X1: heap] :
( ( X2 != $sum(1,length(X1)) )
=> ( sel(app(X1,X0),X2) = sel(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_3) ).
tff(f15,conjecture,
! [X1: $int,X0: $int,X2: heap] :
( ( sel(app(X2,X0),X1) = sel(X2,X1) )
| ~ $less(X1,$sum(1,length(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_5) ).
tff(f16,negated_conjecture,
~ ! [X1: $int,X0: $int,X2: heap] :
( ( sel(app(X2,X0),X1) = sel(X2,X1) )
| ~ $less(X1,$sum(1,length(X2))) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f30,plain,
! [X1: $int,X0: $int,X2: heap] :
( ( $sum(1,length(X2)) != X1 )
=> ( sel(app(X2,X0),X1) = sel(X2,X1) ) ),
inference(rectify,[],[f3]) ).
tff(f38,plain,
! [X1: $int,X0: $int,X2: heap] :
( ( $sum(1,length(X2)) = X1 )
| ( sel(app(X2,X0),X1) = sel(X2,X1) ) ),
inference(ennf_transformation,[],[f30]) ).
tff(f39,plain,
? [X1: $int,X0: $int,X2: heap] :
( ( sel(app(X2,X0),X1) != sel(X2,X1) )
& $less(X1,$sum(1,length(X2))) ),
inference(ennf_transformation,[],[f16]) ).
tff(f44,plain,
? [X0: $int,X1: $int,X2: heap] :
( ( sel(app(X2,X1),X0) != sel(X2,X0) )
& $less(X0,$sum(1,length(X2))) ),
inference(rectify,[],[f39]) ).
tff(f45,plain,
( ( sel(sK2,sK0) != sel(app(sK2,sK1),sK0) )
& $less(sK0,$sum(1,length(sK2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f44]) ).
tff(f46,plain,
! [X0: $int,X1: $int,X2: heap] :
( ( $sum(1,length(X2)) = X0 )
| ( sel(app(X2,X1),X0) = sel(X2,X0) ) ),
inference(rectify,[],[f38]) ).
tff(f59,plain,
$less(sK0,$sum(1,length(sK2))),
inference(cnf_transformation,[],[f45]) ).
tff(f60,plain,
sel(sK2,sK0) != sel(app(sK2,sK1),sK0),
inference(cnf_transformation,[],[f45]) ).
tff(f61,plain,
! [X2: heap,X0: $int,X1: $int] :
( ( sel(app(X2,X1),X0) = sel(X2,X0) )
| ( $sum(1,length(X2)) = X0 ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f416,plain,
( ( $sum(1,length(sK2)) = sK0 )
| ( sel(sK2,sK0) != sel(sK2,sK0) ) ),
inference(superposition,[],[f60,f61]) ).
tff(f434,plain,
$sum(1,length(sK2)) = sK0,
inference(trivial_inequality_removal,[],[f416]) ).
tff(f440,plain,
$less(sK0,sK0),
inference(superposition,[],[f59,f434]) ).
tff(f456,plain,
$false,
inference(forward_subsumption_resolution,[],[f440,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT070_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:03:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.03/0.98 % (4149711)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.03/0.98 % (4149734)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=671580954:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.03/0.98 % (4149732)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3353844789:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.03/0.98 % (4149732)Instruction limit reached!
% 3.03/0.98 % (4149732)------------------------------
% 3.03/0.98 % (4149732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/0.98 % (4149732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.98 % (4149732)CaDiCaL version: 2.1.3
% 3.03/0.98 % (4149732)Termination reason: Instruction limit
% 3.03/0.98 % (4149732)Termination phase: Saturation
% 3.03/0.98 % (4149732)Time elapsed: 0.033 s
% 3.03/0.98 % (4149732)Peak memory usage: 116 MB
% 3.03/0.98 % (4149732)Instructions burned: 12 (million)
% 3.03/0.98 % (4149737)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1569955877:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.03/0.98 % (4149738)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2676186201:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.03/0.98 % (4149736)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1374042260:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.03/0.98 % (4149733)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1606626761:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.03/0.98 % (4149735)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2144806361:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.03/0.98 % (4149734)First to succeed.
% 3.03/0.98 % (4149734)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4149711"
% 3.03/0.98 % (4149736)Instruction limit reached!
% 3.03/0.98 % (4149736)------------------------------
% 3.03/0.98 % (4149736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/0.98 % (4149736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.98 % (4149736)CaDiCaL version: 2.1.3
% 3.03/0.98 % (4149736)Termination reason: Instruction limit
% 3.03/0.98 % (4149736)Termination phase: Saturation
% 3.03/0.98 % (4149736)Time elapsed: 0.004 s
% 3.03/0.98 % (4149736)Peak memory usage: 89 MB
% 3.03/0.98 % (4149736)Instructions burned: 4 (million)
% 3.03/0.98 % (4149735)Instruction limit reached!
% 3.03/0.98 % (4149735)------------------------------
% 3.03/0.98 % (4149735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/0.98 % (4149735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.98 % (4149735)CaDiCaL version: 2.1.3
% 3.03/0.98 % (4149735)Termination reason: Instruction limit
% 3.03/0.98 % (4149735)Termination phase: Saturation
% 3.03/0.98 % (4149735)Time elapsed: 0.005 s
% 3.03/0.98 % (4149735)Peak memory usage: 88 MB
% 3.03/0.98 % (4149735)Instructions burned: 7 (million)
% 3.03/0.98 % (4149737)Also succeeded, but the first one will report.
% 3.03/0.98 % (4149733)Also succeeded, but the first one will report.
% 3.03/0.98 % (4149738)Instruction limit reached!
% 3.03/0.98 % (4149738)------------------------------
% 3.03/0.98 % (4149738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/0.98 % (4149738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.98 % (4149738)CaDiCaL version: 2.1.3
% 3.03/0.98 % (4149738)Termination reason: Instruction limit
% 3.03/0.98 % (4149738)Termination phase: Saturation
% 3.03/0.98 % (4149738)Time elapsed: 0.048 s
% 3.03/0.98 % (4149738)Peak memory usage: 116 MB
% 3.03/0.98 % (4149738)Instructions burned: 34 (million)
% 3.03/0.98 % (4149746)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3471307394:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.03/0.98 % (4149748)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3556982573:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.03/0.98 % (4149747)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=534340857:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.03/0.98 % (4149746)Instruction limit reached!
% 3.03/0.98 % (4149746)------------------------------
% 3.03/0.98 % (4149746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/0.98 % (4149746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.98 % (4149746)CaDiCaL version: 2.1.3
% 3.03/0.98 % (4149746)Termination reason: Instruction limit
% 3.03/0.98 % (4149746)Termination phase: Saturation
% 3.03/0.98 % (4149746)Time elapsed: 0.011 s
% 3.03/0.98 % (4149746)Peak memory usage: 88 MB
% 3.03/0.98 % (4149746)Instructions burned: 14 (million)
% 3.03/0.98 % (4149747)Also succeeded, but the first one will report.
% 3.03/0.98 % (4149748)Instruction limit reached!
% 3.03/0.98 % (4149748)------------------------------
% 3.03/0.98 % (4149748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/0.98 % (4149748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.98 % (4149748)CaDiCaL version: 2.1.3
% 3.03/0.98 % (4149748)Termination reason: Instruction limit
% 3.03/0.98 % (4149748)Termination phase: Saturation
% 3.03/0.98 % (4149748)Time elapsed: 0.012 s
% 3.03/0.98 % (4149748)Peak memory usage: 90 MB
% 3.03/0.98 % (4149748)Instructions burned: 17 (million)
% 3.03/0.98 % (4149749)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1800488411:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.03/0.98 % (4149734)Refutation found. Thanks to Tanya!
% 3.03/0.98 % SZS status Theorem for theBenchmark
% 3.03/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 3.03/0.98 % (4149734)------------------------------
% 3.03/0.98 % (4149734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/0.98 % (4149734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.98 % (4149734)CaDiCaL version: 2.1.3
% 3.03/0.98 % (4149734)Termination reason: Refutation
% 3.03/0.98 % (4149734)Time elapsed: 0.044 s
% 3.03/0.98 % (4149734)Peak memory usage: 117 MB
% 3.03/0.98 % (4149734)Instructions burned: 35 (million)
% 3.03/0.98 % (4149734)------------------------------
% 3.03/0.98 % (4149734)------------------------------
% 3.03/0.98 % (4149711)Success in time 0.376 s
% 3.03/0.98 % Vampire exiting
%------------------------------------------------------------------------------