%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT076_1 : TPTP v9.3.1. Released v6.1.0.
% 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 09:47:15 AM UTC 2026
% Result : Theorem 2.59s 1.04s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 73 ( 26 ~; 11 |; 24 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 91 ( 43 atm; 0 fun; 19 num; 29 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 : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 10 usr; 1 con; 0-3 aty)
% Number of variables : 51 ( 47 !; 4 ?; 51 :)
% 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_2,type,
init: $int > array ).
tff(func_def_3,type,
max: ( array * $int ) > $int ).
tff(func_def_5,type,
rev: ( array * $int ) > array ).
tff(func_def_10,type,
sK0: ( array * array ) > $int ).
tff(func_def_11,type,
sK1: ( array * $int * $int ) > $int ).
tff(func_def_12,type,
sK2: ( array * $int ) > $int ).
tff(func_def_13,type,
sK3: ( array * $int ) > $int ).
tff(func_def_14,type,
sK4: ( array * $int * array ) > $int ).
tff(pred_def_4,type,
sorted: ( array * $int ) > $o ).
tff(pred_def_6,type,
inRange: ( array * $int * $int ) > $o ).
tff(pred_def_7,type,
distinct: ( array * $int ) > $o ).
tff(f6,axiom,
! [X0: array,X1: $int] :
( ! [X3: $int,X2: $int] :
( ( $less(X2,X1)
& $lesseq(0,X2)
& $less(X2,X3)
& $less(X3,X1) )
=> $lesseq(read(X0,X2),read(X0,X3)) )
<=> sorted(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted1) ).
tff(f10,conjecture,
~ ! [X1: $int,X0: array] :
( sorted(X0,X1)
=> ~ sorted(rev(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
tff(f11,negated_conjecture,
~ ~ ! [X1: $int,X0: array] :
( sorted(X0,X1)
=> ~ sorted(rev(X0,X1),X1) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
tff(f13,plain,
! [X0: array,X1: $int] :
( ! [X3: $int,X2: $int] :
( ( $less(X2,X1)
& ~ $less(X2,0)
& $less(X2,X3)
& $less(X3,X1) )
=> ~ $less(read(X0,X3),read(X0,X2)) )
<=> sorted(X0,X1) ),
inference(theory_normalization,[],[f6]) ).
tff(f30,plain,
! [X1: $int,X0: array] :
( ! [X3: $int,X2: $int] :
( ( $less(X2,X1)
& ~ $less(X3,0)
& $less(X3,X1)
& $less(X3,X2) )
=> ~ $less(read(X0,X2),read(X0,X3)) )
<=> sorted(X0,X1) ),
inference(rectify,[],[f13]) ).
tff(f34,plain,
~ ~ ! [X1: array,X0: $int] :
( sorted(X1,X0)
=> ~ sorted(rev(X1,X0),X0) ),
inference(rectify,[],[f11]) ).
tff(f35,plain,
! [X1: array,X0: $int] :
( sorted(X1,X0)
=> ~ sorted(rev(X1,X0),X0) ),
inference(flattening,[],[f34]) ).
tff(f39,plain,
! [X1: $int,X0: array] :
( ! [X3: $int,X2: $int] :
( ( $less(X2,X1)
& ~ $less(X3,0)
& $less(X3,X1)
& $less(X3,X2) )
=> ~ $less(read(X0,X2),read(X0,X3)) )
=> sorted(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f30]) ).
tff(f40,plain,
! [X0: $int,X1: array] :
( ~ sorted(X1,X0)
| ~ sorted(rev(X1,X0),X0) ),
inference(ennf_transformation,[],[f35]) ).
tff(f45,plain,
! [X1: $int,X0: array] :
( sorted(X0,X1)
| ? [X3: $int,X2: $int] :
( $less(read(X0,X2),read(X0,X3))
& $less(X2,X1)
& ~ $less(X3,0)
& $less(X3,X1)
& $less(X3,X2) ) ),
inference(ennf_transformation,[],[f39]) ).
tff(f46,plain,
! [X0: array,X1: $int] :
( ? [X2: $int,X3: $int] :
( $less(X2,X1)
& $less(X3,X1)
& $less(X3,X2)
& ~ $less(X3,0)
& $less(read(X0,X2),read(X0,X3)) )
| sorted(X0,X1) ),
inference(flattening,[],[f45]) ).
tff(f49,plain,
! [X0: array,X1: $int] :
( ( $less(sK2(X0,X1),X1)
& $less(sK3(X0,X1),X1)
& $less(sK3(X0,X1),sK2(X0,X1))
& ~ $less(sK3(X0,X1),0)
& $less(read(X0,sK2(X0,X1)),read(X0,sK3(X0,X1))) )
| sorted(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f46]) ).
tff(f59,plain,
! [X0: array,X1: $int] :
( ~ $less(sK3(X0,X1),0)
| sorted(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tff(f61,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| $less(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f49]) ).
tff(f67,plain,
! [X0: $int,X1: array] :
( ~ sorted(rev(X1,X0),X0)
| ~ sorted(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
tff(f93,plain,
! [X0: array,X1: $int] :
( ~ sorted(X0,X1)
| $less(sK3(rev(X0,X1),X1),X1) ),
inference(resolution,[],[f61,f67]) ).
tff(f96,plain,
! [X0: array,X1: $int] :
( $less(sK3(rev(X0,X1),X1),X1)
| $less(sK3(X0,X1),X1) ),
inference(resolution,[],[f93,f61]) ).
tff(f150,plain,
! [X0: array] :
( sorted(rev(X0,0),0)
| $less(sK3(X0,0),0) ),
inference(resolution,[],[f96,f59]) ).
tff(f176,plain,
! [X0: array] :
( ~ sorted(X0,0)
| $less(sK3(X0,0),0) ),
inference(resolution,[],[f150,f67]) ).
tff(f179,plain,
! [X0: array] : $less(sK3(X0,0),0),
inference(forward_subsumption_resolution,[],[f176,f61]) ).
tff(f180,plain,
! [X0: array] : sorted(X0,0),
inference(resolution,[],[f179,f59]) ).
tff(f187,plain,
! [X0: array] : ~ sorted(X0,0),
inference(resolution,[],[f180,f67]) ).
tff(f190,plain,
$false,
inference(forward_subsumption_resolution,[],[f187,f180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT076_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n017.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 00:03:22 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.27 Running first-order theorem proving
% 0.08/0.27 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
% 2.59/1.04 % (4150584)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.59/1.04 % (4150600)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=338123907:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.59/1.04 % (4150600)First to succeed.
% 2.59/1.04 % (4150600)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4150584"
% 2.59/1.04 % (4150598)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4216820321:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.59/1.04 % (4150595)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2746731014:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.59/1.04 % (4150597)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1542040821:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.59/1.04 % (4150596)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=891205198:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.59/1.04 % (4150594)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3019255821:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.59/1.04 % (4150598)Instruction limit reached!
% 2.59/1.04 % (4150598)------------------------------
% 2.59/1.04 % (4150598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.04 % (4150598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.04 % (4150598)CaDiCaL version: 2.1.3
% 2.59/1.04 % (4150598)Termination reason: Instruction limit
% 2.59/1.04 % (4150598)Termination phase: Saturation
% 2.59/1.04 % (4150598)Time elapsed: 0.005 s
% 2.59/1.04 % (4150598)Peak memory usage: 88 MB
% 2.59/1.04 % (4150598)Instructions burned: 4 (million)
% 2.59/1.04 % (4150597)Instruction limit reached!
% 2.59/1.04 % (4150597)------------------------------
% 2.59/1.04 % (4150597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.04 % (4150597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.04 % (4150597)CaDiCaL version: 2.1.3
% 2.59/1.04 % (4150597)Termination reason: Instruction limit
% 2.59/1.04 % (4150597)Termination phase: Saturation
% 2.59/1.04 % (4150597)Time elapsed: 0.006 s
% 2.59/1.04 % (4150597)Peak memory usage: 88 MB
% 2.59/1.04 % (4150597)Instructions burned: 8 (million)
% 2.59/1.04 % (4150599)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1867385186:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.59/1.04 % (4150595)Also succeeded, but the first one will report.
% 2.59/1.04 % (4150594)Instruction limit reached!
% 2.59/1.04 % (4150594)------------------------------
% 2.59/1.04 % (4150594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.04 % (4150594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.04 % (4150594)CaDiCaL version: 2.1.3
% 2.59/1.04 % (4150594)Termination reason: Instruction limit
% 2.59/1.04 % (4150594)Termination phase: Saturation
% 2.59/1.04 % (4150594)Time elapsed: 0.029 s
% 2.59/1.04 % (4150594)Peak memory usage: 112 MB
% 2.59/1.04 % (4150594)Instructions burned: 12 (million)
% 2.59/1.04 % (4150599)Also succeeded, but the first one will report.
% 2.59/1.04 % (4150596)Also succeeded, but the first one will report.
% 2.59/1.04 % (4150607)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=344508485:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.59/1.04 % (4150609)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=1582115534:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.59/1.04 % (4150609)Also succeeded, but the first one will report.
% 2.59/1.04 % (4150600)Refutation found. Thanks to Tanya!
% 2.59/1.04 % SZS status Theorem for theBenchmark
% 2.59/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/1.04 % (4150600)------------------------------
% 2.59/1.04 % (4150600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.04 % (4150600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.04 % (4150600)CaDiCaL version: 2.1.3
% 2.59/1.04 % (4150600)Termination reason: Refutation
% 2.59/1.04 % (4150600)Time elapsed: 0.020 s
% 2.59/1.04 % (4150600)Peak memory usage: 113 MB
% 2.59/1.04 % (4150600)Instructions burned: 13 (million)
% 2.59/1.04 % (4150600)------------------------------
% 2.59/1.04 % (4150600)------------------------------
% 2.59/1.04 % (4150584)Success in time 0.275 s
% 2.59/1.04 % Vampire exiting
%------------------------------------------------------------------------------