%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX099_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:45:53 PM UTC 2026
% Result : Theorem 5.93s 1.66s
% Output : Refutation 7.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 7 unt; 0 typ; 7 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 119 ( 47 ~; 33 |; 25 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 330 ( 53 atm; 134 fun; 113 num; 30 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 18 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 30 ( 26 !; 4 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
general: $tType ).
tff(type_def_6,type,
symbol: $tType ).
tff(func_def_0,type,
f__integer__: $int > general ).
tff(func_def_1,type,
f__symbolic__: symbol > general ).
tff(func_def_2,type,
c__infimum__: general ).
tff(func_def_3,type,
c__supremum__: general ).
tff(func_def_4,type,
a_i: $int ).
tff(func_def_5,type,
b_i: $int ).
tff(func_def_12,type,
sK0: $int ).
tff(func_def_13,type,
sK1: $int ).
tff(func_def_14,type,
sK2: general > symbol ).
tff(func_def_15,type,
sK3: general > $int ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(pred_def_8,type,
composite: general > $o ).
tff(pred_def_9,type,
sqrtb: general > $o ).
tff(pred_def_10,type,
composite_p: general > $o ).
tff(pred_def_11,type,
prime: general > $o ).
tff(pred_def_12,type,
sqrt: ( general * general ) > $o ).
tff(f21,axiom,
! [X1: $int,X0: $int] :
( ( $lesseq($product(X0,X0),X1)
& $less(X1,$product($sum(X0,1),$sum(X0,1)))
& $greatereq(X0,0) )
<=> sqrt(f__integer__(X0),f__integer__(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_unnamed_formula) ).
tff(f22,conjecture,
! [X1: $int,X0: $int] :
( ( $lesseq($product($sum(X0,1),$sum(X0,1)),$sum(X1,1))
& sqrt(f__integer__(X0),f__integer__(X1)) )
=> sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_unnamed_formula) ).
tff(f23,negated_conjecture,
~ ! [X1: $int,X0: $int] :
( ( $lesseq($product($sum(X0,1),$sum(X0,1)),$sum(X1,1))
& sqrt(f__integer__(X0),f__integer__(X1)) )
=> sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1))) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
tff(f27,plain,
~ ! [X1: $int,X0: $int] :
( ( ~ $less($sum(X1,1),$product($sum(X0,1),$sum(X0,1)))
& sqrt(f__integer__(X0),f__integer__(X1)) )
=> sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1))) ),
inference(theory_normalization,[],[f23]) ).
tff(f28,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X1,$product(X0,X0))
& $less(X1,$product($sum(X0,1),$sum(X0,1)))
& ~ $less(X0,0) )
<=> sqrt(f__integer__(X0),f__integer__(X1)) ),
inference(theory_normalization,[],[f21]) ).
tff(f54,plain,
~ ! [X1: $int,X0: $int] :
( ( sqrt(f__integer__(X1),f__integer__(X0))
& ~ $less($sum(X0,1),$product($sum(X1,1),$sum(X1,1))) )
=> sqrt(f__integer__($sum(X1,1)),f__integer__($sum(X0,1))) ),
inference(rectify,[],[f27]) ).
tff(f55,plain,
! [X1: $int,X0: $int] :
( sqrt(f__integer__(X1),f__integer__(X0))
<=> ( $less(X0,$product($sum(X1,1),$sum(X1,1)))
& ~ $less(X1,0)
& ~ $less(X0,$product(X1,X1)) ) ),
inference(rectify,[],[f28]) ).
tff(f70,plain,
? [X1: $int,X0: $int] :
( ~ sqrt(f__integer__($sum(X1,1)),f__integer__($sum(X0,1)))
& sqrt(f__integer__(X1),f__integer__(X0))
& ~ $less($sum(X0,1),$product($sum(X1,1),$sum(X1,1))) ),
inference(ennf_transformation,[],[f54]) ).
tff(f71,plain,
? [X0: $int,X1: $int] :
( ~ sqrt(f__integer__($sum(X1,1)),f__integer__($sum(X0,1)))
& sqrt(f__integer__(X1),f__integer__(X0))
& ~ $less($sum(X0,1),$product($sum(X1,1),$sum(X1,1))) ),
inference(flattening,[],[f70]) ).
tff(f74,plain,
( ~ sqrt(f__integer__($sum(sK1,1)),f__integer__($sum(sK0,1)))
& sqrt(f__integer__(sK1),f__integer__(sK0))
& ~ $less($sum(sK0,1),$product($sum(sK1,1),$sum(sK1,1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f71]) ).
tff(f76,plain,
! [X1: $int,X0: $int] :
( ( sqrt(f__integer__(X1),f__integer__(X0))
| ~ $less(X0,$product($sum(X1,1),$sum(X1,1)))
| $less(X1,0)
| $less(X0,$product(X1,X1)) )
& ( ( $less(X0,$product($sum(X1,1),$sum(X1,1)))
& ~ $less(X1,0)
& ~ $less(X0,$product(X1,X1)) )
| ~ sqrt(f__integer__(X1),f__integer__(X0)) ) ),
inference(nnf_transformation,[],[f55]) ).
tff(f77,plain,
! [X1: $int,X0: $int] :
( ( sqrt(f__integer__(X1),f__integer__(X0))
| ~ $less(X0,$product($sum(X1,1),$sum(X1,1)))
| $less(X1,0)
| $less(X0,$product(X1,X1)) )
& ( ( $less(X0,$product($sum(X1,1),$sum(X1,1)))
& ~ $less(X1,0)
& ~ $less(X0,$product(X1,X1)) )
| ~ sqrt(f__integer__(X1),f__integer__(X0)) ) ),
inference(flattening,[],[f76]) ).
tff(f78,plain,
! [X0: $int,X1: $int] :
( ( sqrt(f__integer__(X0),f__integer__(X1))
| ~ $less(X1,$product($sum(X0,1),$sum(X0,1)))
| $less(X0,0)
| $less(X1,$product(X0,X0)) )
& ( ( $less(X1,$product($sum(X0,1),$sum(X0,1)))
& ~ $less(X0,0)
& ~ $less(X1,$product(X0,X0)) )
| ~ sqrt(f__integer__(X0),f__integer__(X1)) ) ),
inference(rectify,[],[f77]) ).
tff(f86,plain,
~ $less($sum(sK0,1),$product($sum(sK1,1),$sum(sK1,1))),
inference(cnf_transformation,[],[f74]) ).
tff(f87,plain,
sqrt(f__integer__(sK1),f__integer__(sK0)),
inference(cnf_transformation,[],[f74]) ).
tff(f88,plain,
~ sqrt(f__integer__($sum(sK1,1)),f__integer__($sum(sK0,1))),
inference(cnf_transformation,[],[f74]) ).
tff(f94,plain,
! [X0: $int,X1: $int] :
( ~ sqrt(f__integer__(X0),f__integer__(X1))
| ~ $less(X0,0) ),
inference(cnf_transformation,[],[f78]) ).
tff(f95,plain,
! [X0: $int,X1: $int] :
( ~ sqrt(f__integer__(X0),f__integer__(X1))
| $less(X1,$product($sum(X0,1),$sum(X0,1))) ),
inference(cnf_transformation,[],[f78]) ).
tff(f96,plain,
! [X0: $int,X1: $int] :
( sqrt(f__integer__(X0),f__integer__(X1))
| $less(X1,$product(X0,X0))
| $less(X0,0)
| ~ $less(X1,$product($sum(X0,1),$sum(X0,1))) ),
inference(cnf_transformation,[],[f78]) ).
tff(f112,definition,
( spl4_1
<=> sqrt(f__integer__(sK1),f__integer__(sK0)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f114,plain,
( sqrt(f__integer__(sK1),f__integer__(sK0))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f112]) ).
tff(f115,plain,
spl4_1,
inference(avatar_split_clause,[],[f87,f112]) ).
tff(f117,definition,
( spl4_2
<=> sqrt(f__integer__($sum(sK1,1)),f__integer__($sum(sK0,1))) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f119,plain,
( ~ sqrt(f__integer__($sum(sK1,1)),f__integer__($sum(sK0,1)))
| spl4_2 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f120,plain,
~ spl4_2,
inference(avatar_split_clause,[],[f88,f117]) ).
tff(f122,definition,
( spl4_3
<=> $less($sum(sK0,1),$product($sum(sK1,1),$sum(sK1,1))) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
tff(f124,plain,
( ~ $less($sum(sK0,1),$product($sum(sK1,1),$sum(sK1,1)))
| spl4_3 ),
inference(avatar_component_clause,[],[f122]) ).
tff(f125,plain,
~ spl4_3,
inference(avatar_split_clause,[],[f86,f122]) ).
tff(f211,plain,
( ~ $less(sK1,0)
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f94,f114]) ).
tff(f214,definition,
( spl4_14
<=> $less(sK1,0) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
tff(f217,plain,
( ~ spl4_14
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f211,f112,f214]) ).
tff(f303,plain,
( $less(sK0,$product($sum(sK1,1),$sum(sK1,1)))
| ~ spl4_1 ),
inference(resolution,[],[f95,f114]) ).
tff(f305,definition,
( spl4_22
<=> $less(sK0,$product($sum(sK1,1),$sum(sK1,1))) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
tff(f308,plain,
( spl4_22
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f303,f112,f305]) ).
tff(f321,plain,
( ~ $less($sum(sK0,1),$product($sum($sum(sK1,1),1),$sum($sum(sK1,1),1)))
| $less($sum(sK1,1),0)
| $less($sum(sK0,1),$product($sum(sK1,1),$sum(sK1,1)))
| spl4_2 ),
inference(resolution,[],[f96,f119]) ).
tff(f325,plain,
( ~ $less($sum(sK0,1),$product($sum($sum(sK1,1),1),$sum($sum(sK1,1),1)))
| $less($sum(sK1,1),0)
| spl4_2
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f321,f124]) ).
tff(f327,definition,
( spl4_25
<=> $less($sum(sK1,1),0) ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
tff(f331,definition,
( spl4_26
<=> $less($sum(sK0,1),$product($sum($sum(sK1,1),1),$sum($sum(sK1,1),1))) ),
introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition]) ).
tff(f334,plain,
( spl4_25
| ~ spl4_26
| spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f325,f122,f117,f331,f327]) ).
tff(f335,plain,
$false,
inference(avatar_smt_refutation,[],[f334,f308,f217,f125,f120,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX099_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n009.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 15:01:15 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running first-order theorem proving
% 0.10/0.19 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
% 4.67/1.40 % (3124669)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.67/1.40 % (3124806)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1333488423:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.67/1.40 % (3124808)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3782986074:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.67/1.40 % (3124805)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=217630263:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.67/1.40 % (3124804)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1594270581:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.67/1.40 % (3124807)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1740855236:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.67/1.40 % (3124808)Instruction limit reached!
% 4.67/1.40 % (3124808)------------------------------
% 4.67/1.40 % (3124808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (3124808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (3124808)CaDiCaL version: 2.1.3
% 4.67/1.40 % (3124808)Termination reason: Instruction limit
% 4.67/1.40 % (3124808)Termination phase: Saturation
% 4.67/1.40 % (3124808)Time elapsed: 0.004 s
% 4.67/1.40 % (3124808)Peak memory usage: 88 MB
% 4.67/1.40 % (3124808)Instructions burned: 5 (million)
% 4.67/1.40 % (3124807)Instruction limit reached!
% 4.67/1.40 % (3124807)------------------------------
% 4.67/1.40 % (3124807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (3124807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (3124807)CaDiCaL version: 2.1.3
% 4.67/1.40 % (3124807)Termination reason: Instruction limit
% 4.67/1.40 % (3124807)Termination phase: Saturation
% 4.67/1.40 % (3124807)Time elapsed: 0.006 s
% 4.67/1.40 % (3124807)Peak memory usage: 88 MB
% 4.67/1.40 % (3124807)Instructions burned: 8 (million)
% 4.67/1.40 % (3124804)Instruction limit reached!
% 4.67/1.40 % (3124804)------------------------------
% 4.67/1.40 % (3124804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (3124804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (3124804)CaDiCaL version: 2.1.3
% 4.67/1.40 % (3124804)Termination reason: Instruction limit
% 4.67/1.40 % (3124804)Termination phase: Saturation
% 4.67/1.40 % (3124804)Time elapsed: 0.031 s
% 4.67/1.40 % (3124804)Peak memory usage: 116 MB
% 4.67/1.40 % (3124804)Instructions burned: 12 (million)
% 4.67/1.40 % (3124809)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4243746827:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.67/1.40 % (3124806)Instruction limit reached!
% 4.67/1.40 % (3124806)------------------------------
% 4.67/1.40 % (3124806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (3124806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (3124806)CaDiCaL version: 2.1.3
% 4.67/1.40 % (3124806)Termination reason: Instruction limit
% 4.67/1.40 % (3124806)Termination phase: Saturation
% 4.67/1.40 % (3124806)Time elapsed: 0.070 s
% 4.67/1.40 % (3124806)Peak memory usage: 117 MB
% 4.67/1.40 % (3124806)Instructions burned: 201 (million)
% 4.67/1.40 % (3124810)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=615789231:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.67/1.40 % (3124809)Instruction limit reached!
% 4.67/1.40 % (3124809)------------------------------
% 4.67/1.40 % (3124809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (3124809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (3124809)CaDiCaL version: 2.1.3
% 4.67/1.40 % (3124809)Termination reason: Instruction limit
% 4.67/1.40 % (3124809)Termination phase: Saturation
% 4.67/1.40 % (3124809)Time elapsed: 0.056 s
% 4.67/1.40 % (3124809)Peak memory usage: 117 MB
% 4.67/1.40 % (3124809)Instructions burned: 47 (million)
% 4.67/1.40 % (3124810)Instruction limit reached!
% 4.67/1.40 % (3124810)------------------------------
% 4.67/1.40 % (3124810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (3124810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.65 % (3124810)CaDiCaL version: 2.1.3
% 5.93/1.65 % (3124810)Termination reason: Instruction limit
% 5.93/1.65 % (3124810)Termination phase: Saturation
% 5.93/1.65 % (3124810)Time elapsed: 0.048 s
% 5.93/1.65 % (3124810)Peak memory usage: 117 MB
% 5.93/1.65 % (3124810)Instructions burned: 33 (million)
% 5.93/1.65 % (3124817)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=3956565050:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 5.93/1.65 % (3124816)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4109083269:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.93/1.65 % (3124816)Instruction limit reached!
% 5.93/1.65 % (3124816)------------------------------
% 5.93/1.65 % (3124816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.65 % (3124816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.65 % (3124816)CaDiCaL version: 2.1.3
% 5.93/1.65 % (3124816)Termination reason: Instruction limit
% 5.93/1.65 % (3124816)Termination phase: Saturation
% 5.93/1.65 % (3124816)Time elapsed: 0.011 s
% 5.93/1.65 % (3124816)Peak memory usage: 88 MB
% 5.93/1.65 % (3124816)Instructions burned: 14 (million)
% 5.93/1.65 % (3124817)Instruction limit reached!
% 5.93/1.65 % (3124817)------------------------------
% 5.93/1.65 % (3124817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.65 % (3124817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.65 % (3124817)CaDiCaL version: 2.1.3
% 5.93/1.65 % (3124817)Termination reason: Instruction limit
% 5.93/1.65 % (3124817)Termination phase: Saturation
% 5.93/1.65 % (3124817)Time elapsed: 0.023 s
% 5.93/1.65 % (3124817)Peak memory usage: 88 MB
% 5.93/1.65 % (3124817)Instructions burned: 29 (million)
% 5.93/1.65 % (3124819)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2691421643:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 5.93/1.65 % (3124819)Instruction limit reached!
% 5.93/1.65 % (3124819)------------------------------
% 5.93/1.65 % (3124819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.65 % (3124819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.65 % (3124819)CaDiCaL version: 2.1.3
% 5.93/1.65 % (3124819)Termination reason: Instruction limit
% 5.93/1.65 % (3124819)Termination phase: Saturation
% 5.93/1.65 % (3124819)Time elapsed: 0.011 s
% 5.93/1.65 % (3124819)Peak memory usage: 90 MB
% 5.93/1.65 % (3124819)Instructions burned: 16 (million)
% 5.93/1.65 % (3124805)Instruction limit reached!
% 5.93/1.65 % (3124805)------------------------------
% 5.93/1.65 % (3124805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.65 % (3124805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.65 % (3124805)CaDiCaL version: 2.1.3
% 5.93/1.65 % (3124805)Termination reason: Instruction limit
% 5.93/1.65 % (3124805)Termination phase: Saturation
% 5.93/1.65 % (3124805)Time elapsed: 0.229 s
% 5.93/1.65 % (3124805)Peak memory usage: 118 MB
% 5.93/1.65 % (3124805)Instructions burned: 308 (million)
% 5.93/1.65 % (3124820)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2744415703:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.93/1.65 % (3124820)Instruction limit reached!
% 5.93/1.65 % (3124820)------------------------------
% 5.93/1.65 % (3124820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.65 % (3124820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.65 % (3124820)CaDiCaL version: 2.1.3
% 5.93/1.65 % (3124820)Termination reason: Instruction limit
% 5.93/1.65 % (3124820)Termination phase: Saturation
% 5.93/1.65 % (3124820)Time elapsed: 0.011 s
% 5.93/1.65 % (3124820)Peak memory usage: 89 MB
% 5.93/1.65 % (3124820)Instructions burned: 25 (million)
% 5.93/1.65 % (3124822)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=1216981924:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 5.93/1.65 % (3124822)Instruction limit reached!
% 5.93/1.65 % (3124822)------------------------------
% 5.93/1.65 % (3124822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.65 % (3124822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124822)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124822)Termination reason: Instruction limit
% 5.93/1.66 % (3124822)Termination phase: Saturation
% 5.93/1.66 % (3124822)Time elapsed: 0.026 s
% 5.93/1.66 % (3124822)Peak memory usage: 89 MB
% 5.93/1.66 % (3124822)Instructions burned: 28 (million)
% 5.93/1.66 % (3124823)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3896764074:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 5.93/1.66 % (3124841)lrs+10_1_thi=all:si=on:fd=off:random_seed=1270642154:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.93/1.66 % (3124826)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=301769661:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.93/1.66 % (3124826)Instruction limit reached!
% 5.93/1.66 % (3124826)------------------------------
% 5.93/1.66 % (3124826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124826)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124826)Termination reason: Instruction limit
% 5.93/1.66 % (3124826)Termination phase: Saturation
% 5.93/1.66 % (3124826)Time elapsed: 0.004 s
% 5.93/1.66 % (3124826)Peak memory usage: 88 MB
% 5.93/1.66 % (3124826)Instructions burned: 2 (million)
% 5.93/1.66 % (3124823)Instruction limit reached!
% 5.93/1.66 % (3124823)------------------------------
% 5.93/1.66 % (3124823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124823)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124823)Termination reason: Instruction limit
% 5.93/1.66 % (3124823)Termination phase: Saturation
% 5.93/1.66 % (3124823)Time elapsed: 0.064 s
% 5.93/1.66 % (3124823)Peak memory usage: 88 MB
% 5.93/1.66 % (3124823)Instructions burned: 85 (million)
% 5.93/1.66 % (3124841)Instruction limit reached!
% 5.93/1.66 % (3124841)------------------------------
% 5.93/1.66 % (3124841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124841)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124841)Termination reason: Instruction limit
% 5.93/1.66 % (3124841)Termination phase: Saturation
% 5.93/1.66 % (3124841)Time elapsed: 0.038 s
% 5.93/1.66 % (3124841)Peak memory usage: 117 MB
% 5.93/1.66 % (3124841)Instructions burned: 53 (million)
% 5.93/1.66 % (3124827)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=994492604:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.93/1.66 % (3124837)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3831127894:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.93/1.66 % (3124837)Instruction limit reached!
% 5.93/1.66 % (3124837)------------------------------
% 5.93/1.66 % (3124837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124837)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124837)Termination reason: Instruction limit
% 5.93/1.66 % (3124837)Termination phase: Saturation
% 5.93/1.66 % (3124837)Time elapsed: 0.004 s
% 5.93/1.66 % (3124837)Peak memory usage: 89 MB
% 5.93/1.66 % (3124837)Instructions burned: 4 (million)
% 5.93/1.66 % (3124839)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=749629442:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 5.93/1.66 % (3124842)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=1532772286:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.93/1.66 % (3124842)Instruction limit reached!
% 5.93/1.66 % (3124842)------------------------------
% 5.93/1.66 % (3124842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124842)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124842)Termination reason: Instruction limit
% 5.93/1.66 % (3124842)Termination phase: Saturation
% 5.93/1.66 % (3124842)Time elapsed: 0.011 s
% 5.93/1.66 % (3124842)Peak memory usage: 88 MB
% 5.93/1.66 % (3124842)Instructions burned: 9 (million)
% 5.93/1.66 % (3124858)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3264010774:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 5.93/1.66 % (3124827)Instruction limit reached!
% 5.93/1.66 % (3124827)------------------------------
% 5.93/1.66 % (3124827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124827)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124827)Termination reason: Instruction limit
% 5.93/1.66 % (3124827)Termination phase: Saturation
% 5.93/1.66 % (3124827)Time elapsed: 0.199 s
% 5.93/1.66 % (3124827)Peak memory usage: 90 MB
% 5.93/1.66 % (3124827)Instructions burned: 181 (million)
% 5.93/1.66 % (3124858)First to succeed.
% 5.93/1.66 % (3124858)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3124669"
% 5.93/1.66 % (3124839)Instruction limit reached!
% 5.93/1.66 % (3124839)------------------------------
% 5.93/1.66 % (3124839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124839)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124839)Termination reason: Instruction limit
% 5.93/1.66 % (3124839)Termination phase: Saturation
% 5.93/1.66 % (3124839)Time elapsed: 0.139 s
% 5.93/1.66 % (3124839)Peak memory usage: 135 MB
% 5.93/1.66 % (3124839)Instructions burned: 66 (million)
% 5.93/1.66 % (3124847)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3374534091:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 5.93/1.66 % (3124847)Instruction limit reached!
% 5.93/1.66 % (3124847)------------------------------
% 5.93/1.66 % (3124847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124847)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124847)Termination reason: Instruction limit
% 5.93/1.66 % (3124847)Termination phase: Saturation
% 5.93/1.66 % (3124847)Time elapsed: 0.003 s
% 5.93/1.66 % (3124847)Peak memory usage: 88 MB
% 5.93/1.66 % (3124847)Instructions burned: 3 (million)
% 5.93/1.66 % (3124852)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2090346656:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 5.93/1.66 % (3124852)Instruction limit reached!
% 5.93/1.66 % (3124852)------------------------------
% 5.93/1.66 % (3124852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124852)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124852)Termination reason: Instruction limit
% 5.93/1.66 % (3124852)Termination phase: Saturation
% 5.93/1.66 % (3124852)Time elapsed: 0.003 s
% 5.93/1.66 % (3124852)Peak memory usage: 87 MB
% 5.93/1.66 % (3124852)Instructions burned: 2 (million)
% 5.93/1.66 % (3124862)dis+10_1_si=on:random_seed=2342871797:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 5.93/1.66 % (3124862)Instruction limit reached!
% 5.93/1.66 % (3124862)------------------------------
% 5.93/1.66 % (3124862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124862)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124862)Termination reason: Instruction limit
% 5.93/1.66 % (3124862)Termination phase: Saturation
% 5.93/1.66 % (3124862)Time elapsed: 0.013 s
% 5.93/1.66 % (3124862)Peak memory usage: 88 MB
% 5.93/1.66 % (3124862)Instructions burned: 10 (million)
% 5.93/1.66 % (3124867)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=272345627:i=26:canc=cautious:av=off:rtra=on_2992 on theBenchmark for (2992ds/26Mi)
% 5.93/1.66 % (3124867)Refutation not found, incomplete strategy
% 5.93/1.66 % (3124867)------------------------------
% 5.93/1.66 % (3124867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.66 % (3124867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.66 % (3124867)CaDiCaL version: 2.1.3
% 5.93/1.66 % (3124867)Termination reason: Refutation not found, incomplete strategy
% 5.93/1.66 % (3124867)Time elapsed: 0.006 s
% 5.93/1.66 % (3124867)Peak memory usage: 89 MB
% 5.93/1.66 % (3124867)Instructions burned: 3 (million)
% 5.93/1.66 % (3124858)Refutation found. Thanks to Tanya!
% 5.93/1.66 % SZS status Theorem for theBenchmark
% 5.93/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 7.62/1.87 % (3124858)------------------------------
% 7.62/1.87 % (3124858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.87 % (3124858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.87 % (3124858)CaDiCaL version: 2.1.3
% 7.62/1.87 % (3124858)Termination reason: Refutation
% 7.62/1.87 % (3124858)Time elapsed: 0.043 s
% 7.62/1.87 % (3124858)Peak memory usage: 118 MB
% 7.62/1.87 % (3124858)Instructions burned: 37 (million)
% 7.62/1.87 % (3124858)------------------------------
% 7.62/1.87 % (3124858)------------------------------
% 7.62/1.87 % (3124669)Success in time 1.012 s
% 7.62/1.87 % Vampire exiting
%------------------------------------------------------------------------------