%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT078_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 : n010.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 6.33s 1.71s
% Output : Refutation 6.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 170 ( 24 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 185 ( 61 ~; 56 |; 44 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 260 ( 99 atm; 10 fun; 70 num; 81 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 : 9 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 111 ( 105 !; 6 ?; 111 :)
% 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 * $int ) > $int ).
tff(func_def_11,type,
sK1: ( array * $int ) > $int ).
tff(func_def_12,type,
sK2: ( array * $int * $int ) > $int ).
tff(func_def_13,type,
sK3: ( $int * array * array ) > $int ).
tff(func_def_14,type,
sK4: ( array * array ) > $int ).
tff(func_def_16,type,
-1: $int > $int ).
tff(func_def_17,type,
'$inst5': $int ).
tff(func_def_18,type,
'$inst6': $int ).
tff(func_def_25,type,
'$inst7': $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(f4,axiom,
! [X1: $int,X0: $int] : ( read(init(X0),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f6,axiom,
! [X1: $int,X0: array] :
( ! [X3: $int,X2: $int] :
( ( $less(X3,X1)
& $less(X2,X1)
& $lesseq(0,X2)
& $less(X2,X3) )
=> $lesseq(read(X0,X2),read(X0,X3)) )
<=> sorted(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted1) ).
tff(f8,axiom,
! [X1: $int,X0: array] :
( distinct(X0,X1)
<=> ! [X2: $int,X3: $int] :
( ( $greater(X1,X3)
& $greatereq(X3,0)
& $greatereq(X2,0)
& $greater(X1,X2) )
=> ( ( read(X0,X2) = read(X0,X3) )
=> ( X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
tff(f10,conjecture,
~ ! [X1: $int,X0: array] :
( ( sorted(X0,X1)
& $greater(X1,0) )
=> distinct(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
tff(f11,negated_conjecture,
~ ~ ! [X1: $int,X0: array] :
( ( sorted(X0,X1)
& $greater(X1,0) )
=> distinct(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
tff(f15,plain,
! [X1: $int,X0: array] :
( distinct(X0,X1)
<=> ! [X2: $int,X3: $int] :
( ( $less(X3,X1)
& ~ $less(X3,0)
& ~ $less(X2,0)
& $less(X2,X1) )
=> ( ( read(X0,X2) = read(X0,X3) )
=> ( X2 = X3 ) ) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f16,plain,
! [X1: $int,X0: array] :
( ! [X3: $int,X2: $int] :
( ( $less(X3,X1)
& $less(X2,X1)
& ~ $less(X2,0)
& $less(X2,X3) )
=> ~ $less(read(X0,X3),read(X0,X2)) )
<=> sorted(X0,X1) ),
inference(theory_normalization,[],[f6]) ).
tff(f17,plain,
! [X1: $int,X0: array] :
( ( sorted(X0,X1)
& $less(0,X1) )
=> distinct(X0,X1) ),
inference(theory_normalization,[],[f11]) ).
tff(f23,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f24,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(definition,[],[tha_transitivity]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f32,plain,
! [X1: array,X0: $int] :
( ! [X3: $int,X2: $int] :
( ( $less(X3,X0)
& $less(X2,X0)
& ~ $less(X3,0)
& ~ $less(X2,0) )
=> ( ( read(X1,X2) = read(X1,X3) )
=> ( X2 = X3 ) ) )
<=> distinct(X1,X0) ),
inference(rectify,[],[f15]) ).
tff(f33,plain,
! [X0: $int,X1: $int] : ( read(init(X1),X0) = X1 ),
inference(rectify,[],[f4]) ).
tff(f36,plain,
! [X1: array,X0: $int] :
( ! [X2: $int,X3: $int] :
( ( ~ $less(X3,0)
& $less(X3,X2)
& $less(X2,X0)
& $less(X3,X0) )
=> ~ $less(read(X1,X2),read(X1,X3)) )
<=> sorted(X1,X0) ),
inference(rectify,[],[f16]) ).
tff(f37,plain,
! [X0: $int,X1: array] :
( ( sorted(X1,X0)
& $less(0,X0) )
=> distinct(X1,X0) ),
inference(rectify,[],[f17]) ).
tff(f39,plain,
! [X1: array,X0: $int] :
( distinct(X1,X0)
=> ! [X3: $int,X2: $int] :
( ( $less(X3,X0)
& $less(X2,X0)
& ~ $less(X3,0)
& ~ $less(X2,0) )
=> ( ( read(X1,X2) = read(X1,X3) )
=> ( X2 = X3 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
tff(f40,plain,
! [X1: array,X0: $int] :
( ! [X2: $int,X3: $int] :
( ( ~ $less(X3,0)
& $less(X3,X2)
& $less(X2,X0)
& $less(X3,X0) )
=> ~ $less(read(X1,X2),read(X1,X3)) )
=> sorted(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
tff(f41,plain,
! [X0: $int,X1: array] :
( distinct(X1,X0)
| ~ sorted(X1,X0)
| ~ $less(0,X0) ),
inference(ennf_transformation,[],[f37]) ).
tff(f42,plain,
! [X0: $int,X1: array] :
( distinct(X1,X0)
| ~ sorted(X1,X0)
| ~ $less(0,X0) ),
inference(flattening,[],[f41]) ).
tff(f45,plain,
! [X1: array,X0: $int] :
( ! [X3: $int,X2: $int] :
( ( X2 = X3 )
| ( read(X1,X2) != read(X1,X3) )
| ~ $less(X3,X0)
| ~ $less(X2,X0)
| $less(X3,0)
| $less(X2,0) )
| ~ distinct(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
tff(f46,plain,
! [X1: array,X0: $int] :
( ! [X3: $int,X2: $int] :
( ( X2 = X3 )
| $less(X2,0)
| ~ $less(X2,X0)
| ( read(X1,X2) != read(X1,X3) )
| $less(X3,0)
| ~ $less(X3,X0) )
| ~ distinct(X1,X0) ),
inference(flattening,[],[f45]) ).
tff(f48,plain,
! [X1: array,X0: $int] :
( sorted(X1,X0)
| ? [X2: $int,X3: $int] :
( $less(read(X1,X2),read(X1,X3))
& ~ $less(X3,0)
& $less(X3,X2)
& $less(X2,X0)
& $less(X3,X0) ) ),
inference(ennf_transformation,[],[f40]) ).
tff(f49,plain,
! [X1: array,X0: $int] :
( sorted(X1,X0)
| ? [X3: $int,X2: $int] :
( $less(X3,X2)
& $less(read(X1,X2),read(X1,X3))
& ~ $less(X3,0)
& $less(X2,X0)
& $less(X3,X0) ) ),
inference(flattening,[],[f48]) ).
tff(f53,plain,
! [X0: array,X1: $int] :
( ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| $less(X3,0)
| ~ $less(X3,X1)
| ( read(X0,X2) != read(X0,X3) )
| $less(X2,0)
| ~ $less(X2,X1) )
| ~ distinct(X0,X1) ),
inference(rectify,[],[f46]) ).
tff(f54,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ? [X2: $int,X3: $int] :
( $less(X2,X3)
& $less(read(X0,X3),read(X0,X2))
& ~ $less(X2,0)
& $less(X3,X1)
& $less(X2,X1) ) ),
inference(rectify,[],[f49]) ).
tff(f55,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ( $less(sK0(X0,X1),sK1(X0,X1))
& $less(read(X0,sK1(X0,X1)),read(X0,sK0(X0,X1)))
& ~ $less(sK0(X0,X1),0)
& $less(sK1(X0,X1),X1)
& $less(sK0(X0,X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f54]) ).
tff(f60,plain,
! [X0: $int,X1: array] :
( ~ $less(0,X0)
| distinct(X1,X0)
| ~ sorted(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
tff(f62,plain,
! [X0: $int,X1: $int] : ( read(init(X1),X0) = X1 ),
inference(cnf_transformation,[],[f33]) ).
tff(f63,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(X0,X2) != read(X0,X3) )
| $less(X3,0)
| ~ $less(X2,X1)
| ~ distinct(X0,X1)
| $less(X2,0)
| ~ $less(X3,X1)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f53]) ).
tff(f67,plain,
! [X0: array,X1: $int] :
( $less(read(X0,sK1(X0,X1)),read(X0,sK0(X0,X1)))
| sorted(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tff(f90,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f27,f23]) ).
tff(f95,plain,
! [X0: $int,X1: $int] :
( $less(X0,read(init(X0),sK0(init(X0),X1)))
| sorted(init(X0),X1) ),
inference(superposition,[],[f67,f62]) ).
tff(f98,plain,
! [X0: $int,X1: $int] :
( sorted(init(X0),X1)
| $less(X0,X0) ),
inference(forward_demodulation,[],[f95,f62]) ).
tff(f99,plain,
! [X0: $int,X1: $int] : sorted(init(X0),X1),
inference(evaluation,[],[f98]) ).
tff(f169,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,1)) ),
inference(resolution,[],[f24,f90]) ).
tff(f172,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(1,X1))
| ~ $less(X0,X1) ),
inference(evaluation,[],[f169]) ).
tff(f174,plain,
! [X0: $int,X1: array] :
( ~ sorted(X1,$sum(1,X0))
| distinct(X1,$sum(1,X0))
| ~ $less(0,X0) ),
inference(resolution,[],[f172,f60]) ).
tff(f187,plain,
! [X1: array] :
( ~ sorted(X1,$sum(1,1))
| distinct(X1,$sum(1,1))
| ~ $less(0,1) ),
inference(instantiation,[],[f174]) ).
tff(f188,plain,
! [X1: array] :
( ~ sorted(X1,$sum(1,1))
| distinct(X1,$sum(1,1)) ),
inference(interpreted_simplification,[],[f187]) ).
tff(f194,plain,
! [X1: array] :
( ~ sorted(X1,2)
| distinct(X1,2) ),
inference(evaluation,[],[f188]) ).
tff(f205,plain,
! [X0: $int] : distinct(init(X0),2),
inference(resolution,[],[f194,f99]) ).
tff(f369,plain,
! [X0: array] :
( ( read(X0,0) != read(X0,1) )
| $less(0,0)
| ~ $less(1,2)
| ~ distinct(X0,2)
| $less(1,0)
| ~ $less(0,2)
| ( 0 = 1 ) ),
inference(instantiation,[],[f63]) ).
tff(f370,plain,
! [X0: array] :
( ( read(X0,0) != read(X0,1) )
| ~ distinct(X0,2) ),
inference(interpreted_simplification,[],[f369]) ).
tff(f380,plain,
! [X0: $int] :
( ~ distinct(init(X0),2)
| ( read(init(X0),0) != X0 ) ),
inference(superposition,[],[f370,f62]) ).
tff(f383,plain,
! [X0: $int] : ( read(init(X0),0) != X0 ),
inference(forward_subsumption_resolution,[],[f380,f205]) ).
tff(f384,plain,
$false,
inference(forward_subsumption_resolution,[],[f383,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT078_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 % Computer : n010.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Tue Sep 29 00:08:18 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 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
% 3.20/1.22 % (2483337)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.20/1.22 % (2483403)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2379610833:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.20/1.22 % (2483403)Instruction limit reached!
% 3.20/1.22 % (2483403)------------------------------
% 3.20/1.22 % (2483403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.22 % (2483403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.22 % (2483403)CaDiCaL version: 2.1.3
% 3.20/1.22 % (2483403)Termination reason: Instruction limit
% 3.20/1.22 % (2483403)Termination phase: Saturation
% 3.20/1.22 % (2483403)Time elapsed: 0.002 s
% 3.20/1.22 % (2483403)Peak memory usage: 89 MB
% 3.20/1.22 % (2483403)Instructions burned: 4 (million)
% 3.20/1.22 % (2483398)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2997467341:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.20/1.22 % (2483397)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=974932398:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.20/1.22 % (2483407)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4009362481:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.20/1.22 % (2483405)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2894137055:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.20/1.22 % (2483402)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1487337039:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.20/1.22 % (2483400)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2594809304:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.20/1.22 % (2483402)Instruction limit reached!
% 3.20/1.22 % (2483402)------------------------------
% 3.20/1.22 % (2483402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.22 % (2483402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.22 % (2483402)CaDiCaL version: 2.1.3
% 3.20/1.22 % (2483402)Termination reason: Instruction limit
% 3.20/1.22 % (2483402)Termination phase: Saturation
% 3.20/1.22 % (2483402)Time elapsed: 0.006 s
% 3.20/1.22 % (2483402)Peak memory usage: 88 MB
% 3.20/1.22 % (2483402)Instructions burned: 8 (million)
% 3.20/1.22 % (2483397)Refutation not found, incomplete strategy
% 3.20/1.22 % (2483397)------------------------------
% 3.20/1.22 % (2483397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.22 % (2483397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.22 % (2483397)CaDiCaL version: 2.1.3
% 3.20/1.22 % (2483397)Termination reason: Refutation not found, incomplete strategy
% 3.20/1.22 % (2483397)Time elapsed: 0.032 s
% 3.20/1.22 % (2483397)Peak memory usage: 112 MB
% 3.20/1.22 % (2483397)Instructions burned: 12 (million)
% 3.20/1.22 % (2483407)Instruction limit reached!
% 3.20/1.22 % (2483407)------------------------------
% 3.20/1.22 % (2483407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.22 % (2483407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.22 % (2483407)CaDiCaL version: 2.1.3
% 3.20/1.22 % (2483407)Termination reason: Instruction limit
% 3.20/1.22 % (2483407)Termination phase: Saturation
% 3.20/1.22 % (2483407)Time elapsed: 0.044 s
% 3.20/1.22 % (2483407)Peak memory usage: 112 MB
% 3.20/1.22 % (2483407)Instructions burned: 33 (million)
% 3.20/1.22 % (2483427)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1830481371:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 3.20/1.22 % (2483405)Instruction limit reached!
% 3.20/1.22 % (2483405)------------------------------
% 3.20/1.22 % (2483405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.22 % (2483405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.22 % (2483405)CaDiCaL version: 2.1.3
% 3.20/1.22 % (2483405)Termination reason: Instruction limit
% 3.20/1.22 % (2483405)Termination phase: Saturation
% 3.20/1.22 % (2483405)Time elapsed: 0.055 s
% 3.20/1.22 % (2483405)Peak memory usage: 115 MB
% 3.20/1.22 % (2483405)Instructions burned: 46 (million)
% 3.20/1.22 % (2483427)Instruction limit reached!
% 3.20/1.22 % (2483427)------------------------------
% 3.20/1.22 % (2483427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.43 % (2483427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.43 % (2483427)CaDiCaL version: 2.1.3
% 3.91/1.43 % (2483427)Termination reason: Instruction limit
% 3.91/1.43 % (2483427)Termination phase: Saturation
% 3.91/1.43 % (2483427)Time elapsed: 0.006 s
% 3.91/1.43 % (2483427)Peak memory usage: 88 MB
% 3.91/1.43 % (2483427)Instructions burned: 17 (million)
% 3.91/1.43 % (2483447)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=2602563039:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.91/1.43 % (2483455)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=438336236:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.91/1.43 % (2483455)Instruction limit reached!
% 3.91/1.43 % (2483455)------------------------------
% 3.91/1.43 % (2483455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.43 % (2483455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.43 % (2483455)CaDiCaL version: 2.1.3
% 3.91/1.43 % (2483455)Termination reason: Instruction limit
% 3.91/1.43 % (2483455)Termination phase: Saturation
% 3.91/1.43 % (2483455)Time elapsed: 0.009 s
% 3.91/1.43 % (2483455)Peak memory usage: 89 MB
% 3.91/1.43 % (2483455)Instructions burned: 25 (million)
% 3.91/1.43 % (2483447)Instruction limit reached!
% 3.91/1.43 % (2483447)------------------------------
% 3.91/1.43 % (2483447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.43 % (2483447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.43 % (2483447)CaDiCaL version: 2.1.3
% 3.91/1.43 % (2483447)Termination reason: Instruction limit
% 3.91/1.43 % (2483447)Termination phase: Saturation
% 3.91/1.43 % (2483447)Time elapsed: 0.022 s
% 3.91/1.43 % (2483447)Peak memory usage: 88 MB
% 3.91/1.43 % (2483447)Instructions burned: 29 (million)
% 3.91/1.43 % (2483400)Instruction limit reached!
% 3.91/1.43 % (2483400)------------------------------
% 3.91/1.43 % (2483400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.43 % (2483400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.43 % (2483400)CaDiCaL version: 2.1.3
% 3.91/1.43 % (2483400)Termination reason: Instruction limit
% 3.91/1.43 % (2483400)Termination phase: Saturation
% 3.91/1.43 % (2483400)Time elapsed: 0.164 s
% 3.91/1.43 % (2483400)Peak memory usage: 117 MB
% 3.91/1.43 % (2483400)Instructions burned: 202 (million)
% 3.91/1.43 % (2483456)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3295357211:i=27:canc=cautious:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/27Mi)
% 3.91/1.43 % (2483454)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2612720010:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.91/1.43 % (2483454)Instruction limit reached!
% 3.91/1.43 % (2483454)------------------------------
% 3.91/1.43 % (2483454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.43 % (2483454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.43 % (2483454)CaDiCaL version: 2.1.3
% 3.91/1.43 % (2483454)Termination reason: Instruction limit
% 3.91/1.43 % (2483454)Termination phase: Saturation
% 3.91/1.43 % (2483454)Time elapsed: 0.011 s
% 3.91/1.43 % (2483454)Peak memory usage: 90 MB
% 3.91/1.43 % (2483454)Instructions burned: 17 (million)
% 3.91/1.43 % (2483456)Instruction limit reached!
% 3.91/1.43 % (2483456)------------------------------
% 3.91/1.43 % (2483456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.43 % (2483456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.43 % (2483456)CaDiCaL version: 2.1.3
% 3.91/1.43 % (2483456)Termination reason: Instruction limit
% 3.91/1.43 % (2483456)Termination phase: Saturation
% 3.91/1.43 % (2483456)Time elapsed: 0.015 s
% 3.91/1.43 % (2483456)Peak memory usage: 89 MB
% 3.91/1.43 % (2483456)Instructions burned: 29 (million)
% 3.91/1.43 % (2483398)Instruction limit reached!
% 3.91/1.43 % (2483398)------------------------------
% 3.91/1.43 % (2483398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.43 % (2483398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483398)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483398)Termination reason: Instruction limit
% 5.05/1.53 % (2483398)Termination phase: Saturation
% 5.05/1.53 % (2483398)Time elapsed: 0.213 s
% 5.05/1.53 % (2483398)Peak memory usage: 116 MB
% 5.05/1.53 % (2483398)Instructions burned: 307 (million)
% 5.05/1.53 % (2483470)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1318807851:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 5.05/1.53 % (2483470)Instruction limit reached!
% 5.05/1.53 % (2483470)------------------------------
% 5.05/1.53 % (2483470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483470)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483470)Termination reason: Instruction limit
% 5.05/1.53 % (2483470)Termination phase: Saturation
% 5.05/1.53 % (2483470)Time elapsed: 0.025 s
% 5.05/1.53 % (2483470)Peak memory usage: 88 MB
% 5.05/1.53 % (2483470)Instructions burned: 89 (million)
% 5.05/1.53 % (2483397)------------------------------
% 5.05/1.53 % (2483397)------------------------------
% 5.05/1.53 % (2483474)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=4012593205:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.05/1.53 % (2483471)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=758395686:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 5.05/1.53 % (2483471)Instruction limit reached!
% 5.05/1.53 % (2483471)------------------------------
% 5.05/1.53 % (2483471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483471)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483471)Termination reason: Instruction limit
% 5.05/1.53 % (2483471)Termination phase: Saturation
% 5.05/1.53 % (2483471)Time elapsed: 0.002 s
% 5.05/1.53 % (2483471)Peak memory usage: 88 MB
% 5.05/1.53 % (2483471)Instructions burned: 2 (million)
% 5.05/1.53 % (2483474)Refutation not found, incomplete strategy
% 5.05/1.53 % (2483474)------------------------------
% 5.05/1.53 % (2483474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483474)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483474)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.53 % (2483474)Time elapsed: 0.002 s
% 5.05/1.53 % (2483474)Peak memory usage: 89 MB
% 5.05/1.53 % (2483474)Instructions burned: 1 (million)
% 5.05/1.53 % (2483476)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=867757036:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.05/1.53 % (2483475)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1173129237:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.05/1.53 % (2483475)Refutation not found, incomplete strategy
% 5.05/1.53 % (2483475)------------------------------
% 5.05/1.53 % (2483475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483475)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483475)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.53 % (2483475)Time elapsed: 0.003 s
% 5.05/1.53 % (2483475)Peak memory usage: 89 MB
% 5.05/1.53 % (2483475)Instructions burned: 3 (million)
% 5.05/1.53 % (2483482)lrs+10_1_thi=all:si=on:fd=off:random_seed=1023232786:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.05/1.53 % (2483488)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=574851292:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.05/1.53 % (2483488)Instruction limit reached!
% 5.05/1.53 % (2483488)------------------------------
% 5.05/1.53 % (2483488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483488)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483488)Termination reason: Instruction limit
% 5.05/1.53 % (2483488)Termination phase: Saturation
% 5.05/1.53 % (2483488)Time elapsed: 0.003 s
% 5.05/1.53 % (2483488)Peak memory usage: 88 MB
% 5.05/1.53 % (2483488)Instructions burned: 8 (million)
% 5.05/1.53 % (2483476)First to succeed.
% 5.05/1.53 % (2483476)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2483337"
% 5.05/1.53 % (2483482)Instruction limit reached!
% 5.05/1.53 % (2483482)------------------------------
% 5.05/1.53 % (2483482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483482)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483482)Termination reason: Instruction limit
% 5.05/1.53 % (2483482)Termination phase: Saturation
% 5.05/1.53 % (2483482)Time elapsed: 0.063 s
% 5.05/1.53 % (2483482)Peak memory usage: 116 MB
% 5.05/1.53 % (2483482)Instructions burned: 53 (million)
% 5.05/1.53 % (2483504)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2182424065:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.05/1.53 % (2483515)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3918435155:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.05/1.53 % (2483504)Instruction limit reached!
% 5.05/1.53 % (2483504)------------------------------
% 5.05/1.53 % (2483504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483504)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483504)Termination reason: Instruction limit
% 5.05/1.53 % (2483504)Termination phase: Saturation
% 5.05/1.53 % (2483504)Time elapsed: 0.003 s
% 5.05/1.53 % (2483504)Peak memory usage: 90 MB
% 5.05/1.53 % (2483504)Instructions burned: 3 (million)
% 5.05/1.53 % (2483515)Instruction limit reached!
% 5.05/1.53 % (2483515)------------------------------
% 5.05/1.53 % (2483515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483515)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483515)Termination reason: Instruction limit
% 5.05/1.53 % (2483515)Termination phase: Saturation
% 5.05/1.53 % (2483515)Time elapsed: 0.002 s
% 5.05/1.53 % (2483515)Peak memory usage: 88 MB
% 5.05/1.53 % (2483515)Instructions burned: 2 (million)
% 5.05/1.53 % (2483534)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=780571441:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 5.05/1.53 % (2483534)Instruction limit reached!
% 5.05/1.53 % (2483534)------------------------------
% 5.05/1.53 % (2483534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483534)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483534)Termination reason: Instruction limit
% 5.05/1.53 % (2483534)Termination phase: Saturation
% 5.05/1.53 % (2483534)Time elapsed: 0.059 s
% 5.05/1.53 % (2483534)Peak memory usage: 116 MB
% 5.05/1.53 % (2483534)Instructions burned: 128 (million)
% 5.05/1.53 % (2483536)dis+10_1_si=on:random_seed=1759970881:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 5.05/1.53 % (2483536)Instruction limit reached!
% 5.05/1.53 % (2483536)------------------------------
% 5.05/1.53 % (2483536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.53 % (2483474)------------------------------
% 5.05/1.53 % (2483474)------------------------------
% 5.05/1.53 % (2483536)CaDiCaL version: 2.1.3
% 5.05/1.53 % (2483536)Termination reason: Instruction limit
% 5.05/1.53 % (2483536)Termination phase: Saturation
% 5.05/1.53 % (2483536)Time elapsed: 0.007 s
% 5.05/1.53 % (2483536)Peak memory usage: 88 MB
% 5.05/1.53 % (2483536)Instructions burned: 10 (million)
% 5.05/1.53 % (2483540)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3522602547:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 5.05/1.53 % (2483539)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2732995591:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 5.05/1.53 % (2483539)Refutation not found, incomplete strategy
% 5.05/1.53 % (2483539)------------------------------
% 5.05/1.53 % (2483539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.53 % (2483539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.71 % (2483539)CaDiCaL version: 2.1.3
% 6.33/1.71 % (2483539)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.71 % (2483539)Time elapsed: 0.003 s
% 6.33/1.71 % (2483539)Peak memory usage: 89 MB
% 6.33/1.71 % (2483539)Instructions burned: 2 (million)
% 6.33/1.71 % (2483475)------------------------------
% 6.33/1.71 % (2483475)------------------------------
% 6.33/1.71 % (2483540)Instruction limit reached!
% 6.33/1.71 % (2483540)------------------------------
% 6.33/1.71 % (2483540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.71 % (2483540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.71 % (2483540)CaDiCaL version: 2.1.3
% 6.33/1.71 % (2483540)Termination reason: Instruction limit
% 6.33/1.71 % (2483540)Termination phase: Saturation
% 6.33/1.71 % (2483540)Time elapsed: 0.029 s
% 6.33/1.71 % (2483540)Peak memory usage: 89 MB
% 6.33/1.71 % (2483540)Instructions burned: 35 (million)
% 6.33/1.71 % (2483542)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2800783373:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 6.33/1.71 % (2483542)Instruction limit reached!
% 6.33/1.71 % (2483542)------------------------------
% 6.33/1.71 % (2483542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.71 % (2483542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.71 % (2483542)CaDiCaL version: 2.1.3
% 6.33/1.71 % (2483542)Termination reason: Instruction limit
% 6.33/1.71 % (2483542)Termination phase: Saturation
% 6.33/1.71 % (2483542)Time elapsed: 0.002 s
% 6.33/1.71 % (2483542)Peak memory usage: 89 MB
% 6.33/1.71 % (2483542)Instructions burned: 4 (million)
% 6.33/1.71 % (2483476)Refutation found. Thanks to Tanya!
% 6.33/1.71 % SZS status Theorem for theBenchmark
% 6.33/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 6.33/1.72 % (2483476)------------------------------
% 6.33/1.72 % (2483476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.72 % (2483476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.72 % (2483476)CaDiCaL version: 2.1.3
% 6.33/1.72 % (2483476)Termination reason: Refutation
% 6.33/1.72 % (2483476)Time elapsed: 0.084 s
% 6.33/1.72 % (2483476)Peak memory usage: 134 MB
% 6.33/1.72 % (2483476)Instructions burned: 48 (million)
% 6.33/1.72 % (2483476)------------------------------
% 6.33/1.72 % (2483476)------------------------------
% 6.33/1.72 % (2483337)Success in time 0.788 s
% 6.33/1.72 % Vampire exiting
%------------------------------------------------------------------------------