%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT014_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 2.83s 1.16s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 11 unt; 0 typ; 11 def)
% Number of atoms : 118 ( 4 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 115 ( 32 ~; 33 |; 28 &)
% ( 10 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 206 ( 88 atm; 18 fun; 78 num; 22 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 : 15 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 15 ( 5 usr; 10 con; 0-3 aty)
% Number of variables : 28 ( 22 !; 6 ?; 28 :)
% 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_12,type,
sK0: array ).
tff(func_def_13,type,
sK1: $int ).
tff(func_def_14,type,
sF2: $int ).
tff(f3,conjecture,
! [X0: array] :
( ( ! [X1: $int] :
( ( $lesseq(1,X1)
& $lesseq(X1,10) )
=> $greater(read(X0,X1),X1) )
& ! [X2: $int] :
( ( $lesseq(11,X2)
& $lesseq(X2,20) )
=> $greater(read(X0,X2),$difference(20,X2)) ) )
=> ! [X3: $int] :
( ( $lesseq(6,X3)
& $lesseq(X3,15) )
=> $greater(read(X0,X3),5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f4,negated_conjecture,
~ ! [X0: array] :
( ( ! [X1: $int] :
( ( $lesseq(1,X1)
& $lesseq(X1,10) )
=> $greater(read(X0,X1),X1) )
& ! [X2: $int] :
( ( $lesseq(11,X2)
& $lesseq(X2,20) )
=> $greater(read(X0,X2),$difference(20,X2)) ) )
=> ! [X3: $int] :
( ( $lesseq(6,X3)
& $lesseq(X3,15) )
=> $greater(read(X0,X3),5) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
~ ! [X0: array] :
( ( ! [X2: $int] :
( ( ~ $less(X2,11)
& ~ $less(20,X2) )
=> $less($sum(20,$uminus(X2)),read(X0,X2)) )
& ! [X1: $int] :
( ( ~ $less(10,X1)
& ~ $less(X1,1) )
=> $less(X1,read(X0,X1)) ) )
=> ! [X3: $int] :
( ( ~ $less(X3,6)
& ~ $less(15,X3) )
=> $less(5,read(X0,X3)) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f8,plain,
? [X0: array] :
( ? [X3: $int] :
( ~ $less(5,read(X0,X3))
& ~ $less(X3,6)
& ~ $less(15,X3) )
& ! [X2: $int] :
( $less($sum(20,$uminus(X2)),read(X0,X2))
| $less(X2,11)
| $less(20,X2) )
& ! [X1: $int] :
( $less(X1,read(X0,X1))
| $less(10,X1)
| $less(X1,1) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f9,plain,
? [X0: array] :
( ? [X3: $int] :
( ~ $less(X3,6)
& ~ $less(15,X3)
& ~ $less(5,read(X0,X3)) )
& ! [X1: $int] :
( $less(X1,1)
| $less(10,X1)
| $less(X1,read(X0,X1)) )
& ! [X2: $int] :
( $less($sum(20,$uminus(X2)),read(X0,X2))
| $less(20,X2)
| $less(X2,11) ) ),
inference(flattening,[],[f8]) ).
tff(f10,plain,
? [X0: array] :
( ? [X1: $int] :
( ~ $less(X1,6)
& ~ $less(15,X1)
& ~ $less(5,read(X0,X1)) )
& ! [X2: $int] :
( $less(X2,1)
| $less(10,X2)
| $less(X2,read(X0,X2)) )
& ! [X3: $int] :
( $less($sum(20,$uminus(X3)),read(X0,X3))
| $less(20,X3)
| $less(X3,11) ) ),
inference(rectify,[],[f9]) ).
tff(f11,plain,
( ~ $less(sK1,6)
& ~ $less(15,sK1)
& ~ $less(5,read(sK0,sK1))
& ! [X2: $int] :
( $less(X2,1)
| $less(10,X2)
| $less(X2,read(sK0,X2)) )
& ! [X3: $int] :
( $less($sum(20,$uminus(X3)),read(sK0,X3))
| $less(20,X3)
| $less(X3,11) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f10]) ).
tff(f14,plain,
! [X3: $int] :
( $less($sum(20,$uminus(X3)),read(sK0,X3))
| $less(20,X3)
| $less(X3,11) ),
inference(cnf_transformation,[],[f11]) ).
tff(f15,plain,
! [X2: $int] :
( $less(X2,read(sK0,X2))
| $less(10,X2)
| $less(X2,1) ),
inference(cnf_transformation,[],[f11]) ).
tff(f16,plain,
~ $less(5,read(sK0,sK1)),
inference(cnf_transformation,[],[f11]) ).
tff(f17,plain,
~ $less(15,sK1),
inference(cnf_transformation,[],[f11]) ).
tff(f18,plain,
~ $less(sK1,6),
inference(cnf_transformation,[],[f11]) ).
tff(f20,definition,
sF2 = read(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f21,plain,
read(sK0,sK1) = sF2,
inference(reorient_equations,[],[f20]) ).
tff(f22,plain,
~ $less(5,sF2),
inference(definition_folding,[],[f16,f21]) ).
tff(f24,definition,
( spl3_1
<=> $less(15,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f27,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f17,f24]) ).
tff(f29,definition,
( spl3_2
<=> $less(5,sF2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f32,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f22,f29]) ).
tff(f34,definition,
( spl3_3
<=> $less(sK1,6) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f37,plain,
~ spl3_3,
inference(avatar_split_clause,[],[f18,f34]) ).
tff(f39,definition,
( spl3_4
<=> ( read(sK0,sK1) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f41,plain,
( ( read(sK0,sK1) = sF2 )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f39]) ).
tff(f42,plain,
spl3_4,
inference(avatar_split_clause,[],[f21,f39]) ).
tff(f43,plain,
( $less(sK1,11)
| $less($sum(20,$uminus(sK1)),sF2)
| $less(20,sK1)
| ~ spl3_4 ),
inference(superposition,[],[f14,f41]) ).
tff(f44,plain,
( $less(10,sK1)
| $less(sK1,1)
| $less(sK1,sF2)
| ~ spl3_4 ),
inference(superposition,[],[f15,f41]) ).
tff(f46,definition,
( spl3_5
<=> $less(sK1,sF2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f50,definition,
( spl3_6
<=> $less(sK1,1) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f54,definition,
( spl3_7
<=> $less(10,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
tff(f57,plain,
( spl3_5
| spl3_6
| spl3_7
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f44,f39,f54,f50,f46]) ).
tff(f59,definition,
( spl3_8
<=> $less($sum(20,$uminus(sK1)),sF2) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
tff(f63,definition,
( spl3_9
<=> $less(sK1,11) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
tff(f67,definition,
( spl3_10
<=> $less(20,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
tff(f70,plain,
( spl3_8
| spl3_9
| spl3_10
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f43,f39,f67,f63,f59]) ).
tff(f71,plain,
$false,
inference(avatar_smt_refutation,[],[f70,f57,f42,f37,f32,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT014_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n011.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 00:05:31 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 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
% 2.83/1.16 % (3910629)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.83/1.16 % (3910635)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2407195776:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.83/1.16 % (3910635)First to succeed.
% 2.83/1.16 % (3910635)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3910629"
% 2.83/1.16 % (3910640)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=445738998:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.83/1.16 % (3910637)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3516661433:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.83/1.16 % (3910639)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4272784789:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.83/1.16 % (3910638)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1839202797:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.83/1.16 % (3910634)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3789240281:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.83/1.16 % (3910636)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2016866509:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.83/1.16 % (3910638)Instruction limit reached!
% 2.83/1.16 % (3910638)------------------------------
% 2.83/1.16 % (3910638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.16 % (3910638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.16 % (3910638)CaDiCaL version: 2.1.3
% 2.83/1.16 % (3910638)Termination reason: Instruction limit
% 2.83/1.16 % (3910638)Termination phase: Saturation
% 2.83/1.16 % (3910638)Time elapsed: 0.004 s
% 2.83/1.16 % (3910638)Peak memory usage: 89 MB
% 2.83/1.16 % (3910638)Instructions burned: 4 (million)
% 2.83/1.16 % (3910637)Instruction limit reached!
% 2.83/1.16 % (3910637)------------------------------
% 2.83/1.16 % (3910637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.16 % (3910637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.16 % (3910637)CaDiCaL version: 2.1.3
% 2.83/1.16 % (3910637)Termination reason: Instruction limit
% 2.83/1.16 % (3910637)Termination phase: Saturation
% 2.83/1.16 % (3910637)Time elapsed: 0.005 s
% 2.83/1.16 % (3910637)Peak memory usage: 88 MB
% 2.83/1.16 % (3910637)Instructions burned: 7 (million)
% 2.83/1.16 % (3910639)Refutation not found, incomplete strategy
% 2.83/1.16 % (3910639)------------------------------
% 2.83/1.16 % (3910639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.16 % (3910639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.16 % (3910639)CaDiCaL version: 2.1.3
% 2.83/1.16 % (3910639)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.16 % (3910639)Time elapsed: 0.029 s
% 2.83/1.16 % (3910639)Peak memory usage: 115 MB
% 2.83/1.16 % (3910639)Instructions burned: 7 (million)
% 2.83/1.16 % (3910634)Instruction limit reached!
% 2.83/1.16 % (3910634)------------------------------
% 2.83/1.16 % (3910634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.16 % (3910634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.16 % (3910634)CaDiCaL version: 2.1.3
% 2.83/1.16 % (3910634)Termination reason: Instruction limit
% 2.83/1.16 % (3910634)Termination phase: Saturation
% 2.83/1.16 % (3910634)Time elapsed: 0.031 s
% 2.83/1.16 % (3910634)Peak memory usage: 115 MB
% 2.83/1.16 % (3910634)Instructions burned: 12 (million)
% 2.83/1.16 % (3910640)Also succeeded, but the first one will report.
% 2.83/1.16 % (3910648)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1201395270:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.83/1.16 % (3910649)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=3661391894:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.83/1.16 % (3910648)Refutation not found, incomplete strategy
% 2.83/1.16 % (3910648)------------------------------
% 2.83/1.16 % (3910648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.16 % (3910648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.16 % (3910648)CaDiCaL version: 2.1.3
% 2.83/1.16 % (3910648)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.16 % (3910648)Time elapsed: 0.002 s
% 2.83/1.16 % (3910648)Peak memory usage: 89 MB
% 2.83/1.16 % (3910648)Instructions burned: 1 (million)
% 2.83/1.16 % (3910649)Instruction limit reached!
% 2.83/1.16 % (3910649)------------------------------
% 2.83/1.16 % (3910649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.16 % (3910649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.16 % (3910649)CaDiCaL version: 2.1.3
% 2.83/1.16 % (3910649)Termination reason: Instruction limit
% 2.83/1.16 % (3910649)Termination phase: Saturation
% 2.83/1.16 % (3910649)Time elapsed: 0.023 s
% 2.83/1.16 % (3910649)Peak memory usage: 88 MB
% 2.83/1.16 % (3910649)Instructions burned: 30 (million)
% 2.83/1.16 % (3910635)Refutation found. Thanks to Tanya!
% 2.83/1.16 % SZS status Theorem for theBenchmark
% 2.83/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.83/1.16 % (3910635)------------------------------
% 2.83/1.16 % (3910635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.16 % (3910635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.16 % (3910635)CaDiCaL version: 2.1.3
% 2.83/1.16 % (3910635)Termination reason: Refutation
% 2.83/1.16 % (3910635)Time elapsed: 0.021 s
% 2.83/1.16 % (3910635)Peak memory usage: 116 MB
% 2.83/1.16 % (3910635)Instructions burned: 12 (million)
% 2.83/1.16 % (3910635)------------------------------
% 2.83/1.16 % (3910635)------------------------------
% 2.83/1.16 % (3910629)Success in time 0.309 s
% 2.83/1.16 % Vampire exiting
%------------------------------------------------------------------------------