%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT063_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 : n015.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 09:47:13 AM UTC 2026
% Result : Theorem 3.70s 1.23s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 4 ( 4 atm; 0 fun; 0 num; 0 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
get: heap > heap ).
tff(func_def_2,type,
app: ( heap * $int ) > heap ).
tff(func_def_3,type,
toop: heap > $int ).
tff(func_def_4,type,
length: heap > $int ).
tff(func_def_9,type,
sK0: heap ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f10,axiom,
! [X0: heap] : ~ lsls(X0,empty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_26) ).
tff(f12,conjecture,
! [X0: heap] :
( lsls(X0,empty)
=> $less(length(X0),length(empty)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_1b) ).
tff(f13,negated_conjecture,
~ ! [X0: heap] :
( lsls(X0,empty)
=> $less(length(X0),length(empty)) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
tff(f30,plain,
? [X0: heap] :
( lsls(X0,empty)
& ~ $less(length(X0),length(empty)) ),
inference(ennf_transformation,[],[f13]) ).
tff(f40,plain,
( lsls(sK0,empty)
& ~ $less(length(sK0),length(empty)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f30]) ).
tff(f54,plain,
lsls(sK0,empty),
inference(cnf_transformation,[],[f40]) ).
tff(f55,plain,
! [X0: heap] : ~ lsls(X0,empty),
inference(cnf_transformation,[],[f10]) ).
tff(f61,plain,
$false,
inference(resolution,[],[f55,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT063_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n015.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 00:10:48 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 3.70/1.23 % (3167217)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.70/1.23 % (3167302)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=81291342:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.70/1.23 % (3167302)Instruction limit reached!
% 3.70/1.23 % (3167302)------------------------------
% 3.70/1.23 % (3167302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.23 % (3167302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.23 % (3167302)CaDiCaL version: 2.1.3
% 3.70/1.23 % (3167302)Termination reason: Instruction limit
% 3.70/1.23 % (3167302)Termination phase: Saturation
% 3.70/1.23 % (3167302)Time elapsed: 0.020 s
% 3.70/1.23 % (3167302)Peak memory usage: 115 MB
% 3.70/1.23 % (3167302)Instructions burned: 13 (million)
% 3.70/1.23 % (3167305)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4056673459:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.70/1.23 % (3167307)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3956136281:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.70/1.23 % (3167309)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2490162743:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.70/1.23 % (3167308)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4013596683:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.70/1.23 % (3167304)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3850611015:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.70/1.23 % (3167311)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4019449468:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.70/1.23 % (3167308)First to succeed.
% 3.70/1.23 % (3167307)Also succeeded, but the first one will report.
% 3.70/1.23 % (3167308)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3167217"
% 3.70/1.23 % (3167311)Also succeeded, but the first one will report.
% 3.70/1.23 % (3167305)Also succeeded, but the first one will report.
% 3.70/1.23 % (3167309)Also succeeded, but the first one will report.
% 3.70/1.23 % (3167304)Also succeeded, but the first one will report.
% 3.70/1.23 % (3167334)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=279373371:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.70/1.23 % (3167334)Also succeeded, but the first one will report.
% 3.70/1.23 % (3167308)Refutation found. Thanks to Tanya!
% 3.70/1.23 % SZS status Theorem for theBenchmark
% 3.70/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.23 % (3167308)------------------------------
% 3.70/1.23 % (3167308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.23 % (3167308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.23 % (3167308)CaDiCaL version: 2.1.3
% 3.70/1.23 % (3167308)Termination reason: Refutation
% 3.70/1.23 % (3167308)Time elapsed: 0.002 s
% 3.70/1.23 % (3167308)Peak memory usage: 89 MB
% 3.70/1.23 % (3167308)Instructions burned: 1 (million)
% 3.70/1.23 % (3167308)------------------------------
% 3.70/1.23 % (3167308)------------------------------
% 3.70/1.23 % (3167217)Success in time 0.441 s
% 3.70/1.23 % Vampire exiting
%------------------------------------------------------------------------------