%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT013_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:47:06 AM UTC 2026
% Result : Theorem 2.30s 0.78s
% Output : Refutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 7 unt; 0 typ; 4 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 85 ( 31 ~; 18 |; 20 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 134 ( 63 atm; 10 fun; 31 num; 30 var)
% Number of types : 2 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 6 usr; 6 con; 0-3 aty)
% Number of variables : 37 ( 25 !; 12 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: array ).
tff(func_def_7,type,
sK2: $int ).
tff(func_def_8,type,
sK3: $int ).
tff(f3,conjecture,
! [X0: array,X2: $int,X1: $int] :
( ! [X3: $int] :
( ( $lesseq(X3,X2)
& $lesseq(X1,X3) )
=> $greater(read(X0,X3),0) )
=> ! [X4: $int] :
( ( $lesseq($sum(X1,3),X4)
& $lesseq(X4,X2) )
=> $greater(read(X0,X4),0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X2: $int,X1: $int] :
( ! [X3: $int] :
( ( $lesseq(X3,X2)
& $lesseq(X1,X3) )
=> $greater(read(X0,X3),0) )
=> ! [X4: $int] :
( ( $lesseq($sum(X1,3),X4)
& $lesseq(X4,X2) )
=> $greater(read(X0,X4),0) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
~ ! [X0: array,X2: $int,X1: $int] :
( ! [X3: $int] :
( ( ~ $less(X2,X3)
& ~ $less(X3,X1) )
=> $less(0,read(X0,X3)) )
=> ! [X4: $int] :
( ( ~ $less(X4,$sum(X1,3))
& ~ $less(X2,X4) )
=> $less(0,read(X0,X4)) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f7,plain,
~ ! [X0: array,X1: $int,X2: $int] :
( ! [X3: $int] :
( ( ~ $less(X1,X3)
& ~ $less(X3,X2) )
=> $less(0,read(X0,X3)) )
=> ! [X4: $int] :
( ( ~ $less(X4,$sum(X2,3))
& ~ $less(X1,X4) )
=> $less(0,read(X0,X4)) ) ),
inference(rectify,[],[f5]) ).
tff(f9,plain,
? [X0: array,X1: $int,X2: $int] :
( ? [X4: $int] :
( ~ $less(0,read(X0,X4))
& ~ $less(X4,$sum(X2,3))
& ~ $less(X1,X4) )
& ! [X3: $int] :
( $less(0,read(X0,X3))
| $less(X1,X3)
| $less(X3,X2) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f10,plain,
? [X1: $int,X0: array,X2: $int] :
( ! [X3: $int] :
( $less(X1,X3)
| $less(X3,X2)
| $less(0,read(X0,X3)) )
& ? [X4: $int] :
( ~ $less(0,read(X0,X4))
& ~ $less(X1,X4)
& ~ $less(X4,$sum(X2,3)) ) ),
inference(flattening,[],[f9]) ).
tff(f12,plain,
? [X0: $int,X1: array,X2: $int] :
( ! [X3: $int] :
( $less(X0,X3)
| $less(X3,X2)
| $less(0,read(X1,X3)) )
& ? [X4: $int] :
( ~ $less(0,read(X1,X4))
& ~ $less(X0,X4)
& ~ $less(X4,$sum(X2,3)) ) ),
inference(rectify,[],[f10]) ).
tff(f13,plain,
( ! [X3: $int] :
( $less(sK0,X3)
| $less(X3,sK2)
| $less(0,read(sK1,X3)) )
& ~ $less(0,read(sK1,sK3))
& ~ $less(sK0,sK3)
& ~ $less(sK3,$sum(sK2,3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X4,sK3)],[f12]) ).
tff(f16,plain,
~ $less(sK3,$sum(sK2,3)),
inference(cnf_transformation,[],[f13]) ).
tff(f17,plain,
~ $less(sK0,sK3),
inference(cnf_transformation,[],[f13]) ).
tff(f18,plain,
~ $less(0,read(sK1,sK3)),
inference(cnf_transformation,[],[f13]) ).
tff(f19,plain,
! [X3: $int] :
( $less(sK0,X3)
| $less(X3,sK2)
| $less(0,read(sK1,X3)) ),
inference(cnf_transformation,[],[f13]) ).
tff(f22,definition,
( spl4_1
<=> $less(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f24,plain,
( ~ $less(sK0,sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f25,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f17,f22]) ).
tff(f27,definition,
( spl4_2
<=> $less(sK3,$sum(sK2,3)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f30,plain,
~ spl4_2,
inference(avatar_split_clause,[],[f16,f27]) ).
tff(f32,definition,
( spl4_3
<=> $less(0,read(sK1,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
tff(f34,plain,
( ~ $less(0,read(sK1,sK3))
| spl4_3 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f35,plain,
~ spl4_3,
inference(avatar_split_clause,[],[f18,f32]) ).
tff(f36,plain,
( $less(sK3,sK2)
| $less(0,read(sK1,sK3))
| spl4_1 ),
inference(resolution,[],[f19,f24]) ).
tff(f37,plain,
( $less(sK3,sK2)
| spl4_1
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f36,f34]) ).
tff(f39,definition,
( spl4_4
<=> $less(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
tff(f42,plain,
( spl4_4
| spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f37,f32,f22,f39]) ).
tff(f43,plain,
$false,
inference(avatar_smt_refutation,[],[f42,f35,f30,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT013_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n019.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 00:05:33 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 2.30/0.78 % (393150)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.30/0.78 % (393160)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=110467565:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.30/0.78 % (393156)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1969239702:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.30/0.78 % (393160)First to succeed.
% 2.30/0.78 % (393160)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-393150"
% 2.30/0.78 % (393158)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=698158130:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.30/0.78 % (393157)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=951620039:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.30/0.78 % (393155)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1447617517:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.30/0.78 % (393159)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2172985670:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.30/0.78 % (393161)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1686827142:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.30/0.78 % (393159)Instruction limit reached!
% 2.30/0.78 % (393159)------------------------------
% 2.30/0.78 % (393159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.78 % (393159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.78 % (393159)CaDiCaL version: 2.1.3
% 2.30/0.78 % (393159)Termination reason: Instruction limit
% 2.30/0.78 % (393159)Termination phase: Saturation
% 2.30/0.78 % (393159)Time elapsed: 0.004 s
% 2.30/0.78 % (393159)Peak memory usage: 89 MB
% 2.30/0.78 % (393159)Instructions burned: 4 (million)
% 2.30/0.78 % (393158)Instruction limit reached!
% 2.30/0.78 % (393158)------------------------------
% 2.30/0.78 % (393158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.78 % (393158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.78 % (393158)CaDiCaL version: 2.1.3
% 2.30/0.78 % (393158)Termination reason: Instruction limit
% 2.30/0.78 % (393158)Termination phase: Saturation
% 2.30/0.78 % (393158)Time elapsed: 0.005 s
% 2.30/0.78 % (393158)Peak memory usage: 88 MB
% 2.30/0.78 % (393158)Instructions burned: 7 (million)
% 2.30/0.78 % (393156)Also succeeded, but the first one will report.
% 2.30/0.78 % (393155)Instruction limit reached!
% 2.30/0.78 % (393155)------------------------------
% 2.30/0.78 % (393155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.78 % (393155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.78 % (393155)CaDiCaL version: 2.1.3
% 2.30/0.78 % (393155)Termination reason: Instruction limit
% 2.30/0.78 % (393155)Termination phase: Saturation
% 2.30/0.78 % (393155)Time elapsed: 0.031 s
% 2.30/0.78 % (393155)Peak memory usage: 116 MB
% 2.30/0.78 % (393155)Instructions burned: 12 (million)
% 2.30/0.78 % (393161)Also succeeded, but the first one will report.
% 2.30/0.78 % (393169)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=221401098:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.30/0.78 % (393170)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=3527746216:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.30/0.78 % (393169)Refutation not found, incomplete strategy
% 2.30/0.78 % (393169)------------------------------
% 2.30/0.78 % (393169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.78 % (393169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.78 % (393169)CaDiCaL version: 2.1.3
% 2.30/0.78 % (393169)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.78 % (393169)Time elapsed: 0.002 s
% 2.30/0.78 % (393169)Peak memory usage: 89 MB
% 2.30/0.78 % (393169)Instructions burned: 1 (million)
% 2.30/0.78 % (393160)Refutation found. Thanks to Tanya!
% 2.30/0.78 % SZS status Theorem for theBenchmark
% 2.30/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.78 % (393160)------------------------------
% 2.30/0.78 % (393160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.78 % (393160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.78 % (393160)CaDiCaL version: 2.1.3
% 2.30/0.78 % (393160)Termination reason: Refutation
% 2.30/0.78 % (393160)Time elapsed: 0.019 s
% 2.30/0.78 % (393160)Peak memory usage: 116 MB
% 2.30/0.78 % (393160)Instructions burned: 10 (million)
% 2.30/0.78 % (393160)------------------------------
% 2.30/0.78 % (393160)------------------------------
% 2.30/0.78 % (393150)Success in time 0.292 s
% 2.30/0.78 % Vampire exiting
%------------------------------------------------------------------------------