%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX100_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 : n008.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 6.43s 1.67s
% Output : Refutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 121 ( 48 ~; 36 |; 26 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 307 ( 61 atm; 96 fun; 85 num; 65 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 : 18 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 71 ( 59 !; 12 ?; 71 :)
% 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: general > symbol ).
tff(func_def_13,type,
sK1: $int ).
tff(func_def_14,type,
sK2: $int ).
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(pred_def_16,type,
sQ4_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_17,type,
sQ5_eqProxy: ( general * general ) > $o ).
tff(pred_def_18,type,
sQ6_eqProxy: ( symbol * symbol ) > $o ).
tff(f6,axiom,
! [X0: $int,X1: $int] :
( p__less_equal__(f__integer__(X0),f__integer__(X1))
<=> $lesseq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numeral_ordering_ax) ).
tff(f9,axiom,
! [X1: general,X0: general] :
( p__less_equal__(X1,X0)
| p__less_equal__(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strongly_connected_ordering_ax) ).
tff(f21,axiom,
! [X1: $int,X0: $int] :
( sqrt(f__integer__(X0),f__integer__(X1))
<=> ( $less(X1,$product($sum(X0,1),$sum(X0,1)))
& $lesseq($product(X0,X0),X1)
& $greatereq(X0,0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_unnamed_formula) ).
tff(f22,axiom,
! [X0: $int,X1: $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,conjecture,
! [X0: $int] :
( ( $greatereq(X0,0)
& ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0)) )
=> ? [X1: $int] : sqrt(f__integer__(X1),f__integer__($sum(X0,1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7_inductive_step) ).
tff(f24,negated_conjecture,
~ ! [X0: $int] :
( ( $greatereq(X0,0)
& ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0)) )
=> ? [X1: $int] : sqrt(f__integer__(X1),f__integer__($sum(X0,1))) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
tff(f25,plain,
~ ! [X0: $int] :
( ( ~ $less(X0,0)
& ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0)) )
=> ? [X1: $int] : sqrt(f__integer__(X1),f__integer__($sum(X0,1))) ),
inference(theory_normalization,[],[f24]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( ( sqrt(f__integer__(X0),f__integer__(X1))
& ~ $less($sum(X1,1),$product($sum(X0,1),$sum(X0,1))) )
=> sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1))) ),
inference(theory_normalization,[],[f22]) ).
tff(f30,plain,
! [X1: $int,X0: $int] :
( p__less_equal__(f__integer__(X0),f__integer__(X1))
<=> ~ $less(X1,X0) ),
inference(theory_normalization,[],[f6]) ).
tff(f33,plain,
! [X1: $int,X0: $int] :
( sqrt(f__integer__(X0),f__integer__(X1))
<=> ( $less(X1,$product($sum(X0,1),$sum(X0,1)))
& ~ $less(X1,$product(X0,X0))
& ~ $less(X0,0) ) ),
inference(theory_normalization,[],[f21]) ).
tff(f43,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f52,plain,
~ ! [X0: $int] :
( ( ~ $less(X0,0)
& ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0)) )
=> ? [X2: $int] : sqrt(f__integer__(X2),f__integer__($sum(X0,1))) ),
inference(rectify,[],[f25]) ).
tff(f62,plain,
! [X0: $int,X1: $int] :
( sqrt(f__integer__(X1),f__integer__(X0))
<=> ( ~ $less(X1,0)
& ~ $less(X0,$product(X1,X1))
& $less(X0,$product($sum(X1,1),$sum(X1,1))) ) ),
inference(rectify,[],[f33]) ).
tff(f66,plain,
! [X0: $int,X1: $int] :
( sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1)))
| ~ sqrt(f__integer__(X0),f__integer__(X1))
| $less($sum(X1,1),$product($sum(X0,1),$sum(X0,1))) ),
inference(ennf_transformation,[],[f26]) ).
tff(f67,plain,
! [X1: $int,X0: $int] :
( sqrt(f__integer__($sum(X0,1)),f__integer__($sum(X1,1)))
| $less($sum(X1,1),$product($sum(X0,1),$sum(X0,1)))
| ~ sqrt(f__integer__(X0),f__integer__(X1)) ),
inference(flattening,[],[f66]) ).
tff(f73,plain,
? [X0: $int] :
( ! [X2: $int] : ~ sqrt(f__integer__(X2),f__integer__($sum(X0,1)))
& ~ $less(X0,0)
& ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0)) ),
inference(ennf_transformation,[],[f52]) ).
tff(f74,plain,
? [X0: $int] :
( ? [X1: $int] : sqrt(f__integer__(X1),f__integer__(X0))
& ~ $less(X0,0)
& ! [X2: $int] : ~ sqrt(f__integer__(X2),f__integer__($sum(X0,1))) ),
inference(flattening,[],[f73]) ).
tff(f77,plain,
! [X0: $int,X1: $int] :
( ( sqrt(f__integer__(X1),f__integer__(X0))
| $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))
& $less(X0,$product($sum(X1,1),$sum(X1,1))) )
| ~ sqrt(f__integer__(X1),f__integer__(X0)) ) ),
inference(nnf_transformation,[],[f62]) ).
tff(f78,plain,
! [X0: $int,X1: $int] :
( ( sqrt(f__integer__(X1),f__integer__(X0))
| $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))
& $less(X0,$product($sum(X1,1),$sum(X1,1))) )
| ~ sqrt(f__integer__(X1),f__integer__(X0)) ) ),
inference(flattening,[],[f77]) ).
tff(f81,plain,
! [X0: $int,X1: $int] :
( sqrt(f__integer__($sum(X1,1)),f__integer__($sum(X0,1)))
| $less($sum(X0,1),$product($sum(X1,1),$sum(X1,1)))
| ~ sqrt(f__integer__(X1),f__integer__(X0)) ),
inference(rectify,[],[f67]) ).
tff(f83,plain,
! [X1: $int,X0: $int] :
( ( p__less_equal__(f__integer__(X0),f__integer__(X1))
| $less(X1,X0) )
& ( ~ $less(X1,X0)
| ~ p__less_equal__(f__integer__(X0),f__integer__(X1)) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f84,plain,
! [X0: $int,X1: $int] :
( ( p__less_equal__(f__integer__(X1),f__integer__(X0))
| $less(X0,X1) )
& ( ~ $less(X0,X1)
| ~ p__less_equal__(f__integer__(X1),f__integer__(X0)) ) ),
inference(rectify,[],[f83]) ).
tff(f85,plain,
( sqrt(f__integer__(sK2),f__integer__(sK1))
& ~ $less(sK1,0)
& ! [X2: $int] : ~ sqrt(f__integer__(X2),f__integer__($sum(sK1,1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f74]) ).
tff(f86,plain,
! [X0: general,X1: general] :
( p__less_equal__(X0,X1)
| p__less_equal__(X1,X0) ),
inference(rectify,[],[f9]) ).
tff(f94,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$product(X1,X1))
| ~ sqrt(f__integer__(X1),f__integer__(X0)) ),
inference(cnf_transformation,[],[f78]) ).
tff(f95,plain,
! [X0: $int,X1: $int] :
( ~ sqrt(f__integer__(X1),f__integer__(X0))
| ~ $less(X1,0) ),
inference(cnf_transformation,[],[f78]) ).
tff(f96,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$product($sum(X1,1),$sum(X1,1)))
| $less(X1,0)
| $less(X0,$product(X1,X1))
| sqrt(f__integer__(X1),f__integer__(X0)) ),
inference(cnf_transformation,[],[f78]) ).
tff(f100,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(cnf_transformation,[],[f81]) ).
tff(f104,plain,
! [X0: $int,X1: $int] :
( ~ p__less_equal__(f__integer__(X1),f__integer__(X0))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tff(f107,plain,
! [X2: $int] : ~ sqrt(f__integer__(X2),f__integer__($sum(sK1,1))),
inference(cnf_transformation,[],[f85]) ).
tff(f109,plain,
sqrt(f__integer__(sK2),f__integer__(sK1)),
inference(cnf_transformation,[],[f85]) ).
tff(f110,plain,
! [X0: general,X1: general] :
( p__less_equal__(X1,X0)
| p__less_equal__(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
tff(f161,plain,
~ $less(sK2,0),
inference(resolution,[],[f95,f109]) ).
tff(f162,plain,
! [X0: $int,X1: $int] :
( p__less_equal__(f__integer__(X0),f__integer__(X1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f104,f110]) ).
tff(f170,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(X0,X1) ),
inference(resolution,[],[f162,f104]) ).
tff(f241,plain,
! [X0: $int] :
( ~ sqrt(f__integer__(X0),f__integer__(sK1))
| $less($sum(sK1,1),$product($sum(X0,1),$sum(X0,1))) ),
inference(resolution,[],[f100,f107]) ).
tff(f244,plain,
$less($sum(sK1,1),$product($sum(sK2,1),$sum(sK2,1))),
inference(resolution,[],[f241,f109]) ).
tff(f245,plain,
( sqrt(f__integer__(sK2),f__integer__($sum(sK1,1)))
| $less(sK2,0)
| $less($sum(sK1,1),$product(sK2,sK2)) ),
inference(resolution,[],[f244,f96]) ).
tff(f249,plain,
( $less(sK2,0)
| $less($sum(sK1,1),$product(sK2,sK2)) ),
inference(forward_subsumption_resolution,[],[f245,f107]) ).
tff(f250,plain,
$less($sum(sK1,1),$product(sK2,sK2)),
inference(forward_subsumption_resolution,[],[f249,f161]) ).
tff(f252,plain,
~ $less($product(sK2,sK2),$sum(sK1,1)),
inference(resolution,[],[f250,f170]) ).
tff(f254,plain,
$less(sK1,$product(sK2,sK2)),
inference(resolution,[],[f252,f43]) ).
tff(f255,plain,
~ sqrt(f__integer__(sK2),f__integer__(sK1)),
inference(resolution,[],[f254,f94]) ).
tff(f258,plain,
$false,
inference(forward_subsumption_resolution,[],[f255,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX100_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n008.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:02:09 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.68/1.21 % (2314021)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.68/1.21 % (2314030)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=849567601:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.68/1.21 % (2314030)Instruction limit reached!
% 3.68/1.21 % (2314030)------------------------------
% 3.68/1.21 % (2314030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.21 % (2314030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.21 % (2314030)CaDiCaL version: 2.1.3
% 3.68/1.21 % (2314030)Termination reason: Instruction limit
% 3.68/1.21 % (2314030)Termination phase: Saturation
% 3.68/1.21 % (2314030)Time elapsed: 0.003 s
% 3.68/1.21 % (2314030)Peak memory usage: 89 MB
% 3.68/1.21 % (2314030)Instructions burned: 6 (million)
% 3.68/1.21 % (2314026)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2055409745:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.68/1.21 % (2314027)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2017383159:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.68/1.21 % (2314028)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=67419951:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.68/1.21 % (2314029)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3749685716:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.68/1.21 % (2314029)Instruction limit reached!
% 3.68/1.21 % (2314029)------------------------------
% 3.68/1.21 % (2314029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.21 % (2314029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.21 % (2314029)CaDiCaL version: 2.1.3
% 3.68/1.21 % (2314029)Termination reason: Instruction limit
% 3.68/1.21 % (2314029)Termination phase: Saturation
% 3.68/1.21 % (2314029)Time elapsed: 0.006 s
% 3.68/1.21 % (2314029)Peak memory usage: 88 MB
% 3.68/1.21 % (2314029)Instructions burned: 8 (million)
% 3.68/1.21 % (2314032)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1397941764:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.68/1.21 % (2314031)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=302881587:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.68/1.21 % (2314026)Instruction limit reached!
% 3.68/1.21 % (2314026)------------------------------
% 3.68/1.21 % (2314026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.21 % (2314026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.21 % (2314026)CaDiCaL version: 2.1.3
% 3.68/1.21 % (2314026)Termination reason: Instruction limit
% 3.68/1.21 % (2314026)Termination phase: Saturation
% 3.68/1.21 % (2314026)Time elapsed: 0.032 s
% 3.68/1.21 % (2314026)Peak memory usage: 115 MB
% 3.68/1.21 % (2314026)Instructions burned: 13 (million)
% 3.68/1.21 % (2314032)Instruction limit reached!
% 3.68/1.21 % (2314032)------------------------------
% 3.68/1.21 % (2314032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.21 % (2314032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.21 % (2314032)CaDiCaL version: 2.1.3
% 3.68/1.21 % (2314032)Termination reason: Instruction limit
% 3.68/1.21 % (2314032)Termination phase: Saturation
% 3.68/1.21 % (2314032)Time elapsed: 0.047 s
% 3.68/1.21 % (2314032)Peak memory usage: 116 MB
% 3.68/1.21 % (2314032)Instructions burned: 34 (million)
% 3.68/1.21 % (2314031)Instruction limit reached!
% 3.68/1.21 % (2314031)------------------------------
% 3.68/1.21 % (2314031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.21 % (2314031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.21 % (2314031)CaDiCaL version: 2.1.3
% 3.68/1.21 % (2314031)Termination reason: Instruction limit
% 3.68/1.21 % (2314031)Termination phase: Saturation
% 3.68/1.21 % (2314031)Time elapsed: 0.055 s
% 3.68/1.21 % (2314031)Peak memory usage: 116 MB
% 3.68/1.21 % (2314031)Instructions burned: 47 (million)
% 3.68/1.21 % (2314028)Instruction limit reached!
% 3.68/1.21 % (2314028)------------------------------
% 3.68/1.21 % (2314028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.21 % (2314028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.43 % (2314028)CaDiCaL version: 2.1.3
% 4.72/1.43 % (2314028)Termination reason: Instruction limit
% 4.72/1.43 % (2314028)Termination phase: Saturation
% 4.72/1.43 % (2314028)Time elapsed: 0.124 s
% 4.72/1.43 % (2314028)Peak memory usage: 116 MB
% 4.72/1.43 % (2314028)Instructions burned: 202 (million)
% 4.72/1.43 % (2314034)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=726772276:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.72/1.43 % (2314034)Instruction limit reached!
% 4.72/1.43 % (2314034)------------------------------
% 4.72/1.43 % (2314034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.43 % (2314034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.43 % (2314034)CaDiCaL version: 2.1.3
% 4.72/1.43 % (2314034)Termination reason: Instruction limit
% 4.72/1.43 % (2314034)Termination phase: Saturation
% 4.72/1.43 % (2314034)Time elapsed: 0.011 s
% 4.72/1.43 % (2314034)Peak memory usage: 88 MB
% 4.72/1.43 % (2314034)Instructions burned: 15 (million)
% 4.72/1.43 % (2314041)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=87570811:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.72/1.43 % (2314042)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1714860197:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.72/1.43 % (2314041)Instruction limit reached!
% 4.72/1.43 % (2314041)------------------------------
% 4.72/1.43 % (2314041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.43 % (2314041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.43 % (2314041)CaDiCaL version: 2.1.3
% 4.72/1.43 % (2314041)Termination reason: Instruction limit
% 4.72/1.43 % (2314041)Termination phase: Saturation
% 4.72/1.43 % (2314041)Time elapsed: 0.023 s
% 4.72/1.43 % (2314041)Peak memory usage: 89 MB
% 4.72/1.43 % (2314041)Instructions burned: 29 (million)
% 4.72/1.43 % (2314042)Instruction limit reached!
% 4.72/1.43 % (2314042)------------------------------
% 4.72/1.43 % (2314042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.43 % (2314042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.43 % (2314042)CaDiCaL version: 2.1.3
% 4.72/1.43 % (2314042)Termination reason: Instruction limit
% 4.72/1.43 % (2314042)Termination phase: Saturation
% 4.72/1.43 % (2314042)Time elapsed: 0.012 s
% 4.72/1.43 % (2314042)Peak memory usage: 90 MB
% 4.72/1.43 % (2314042)Instructions burned: 17 (million)
% 4.72/1.43 % (2314043)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=643435003:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.72/1.43 % (2314044)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=1074016671:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.72/1.43 % (2314044)Instruction limit reached!
% 4.72/1.43 % (2314044)------------------------------
% 4.72/1.43 % (2314044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.43 % (2314044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.43 % (2314044)CaDiCaL version: 2.1.3
% 4.72/1.43 % (2314044)Termination reason: Instruction limit
% 4.72/1.43 % (2314044)Termination phase: Saturation
% 4.72/1.43 % (2314044)Time elapsed: 0.016 s
% 4.72/1.43 % (2314044)Peak memory usage: 89 MB
% 4.72/1.43 % (2314044)Instructions burned: 28 (million)
% 4.72/1.43 % (2314043)Instruction limit reached!
% 4.72/1.43 % (2314043)------------------------------
% 4.72/1.43 % (2314043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.43 % (2314043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.43 % (2314043)CaDiCaL version: 2.1.3
% 4.72/1.43 % (2314043)Termination reason: Instruction limit
% 4.72/1.43 % (2314043)Termination phase: Saturation
% 4.72/1.43 % (2314043)Time elapsed: 0.020 s
% 4.72/1.43 % (2314043)Peak memory usage: 89 MB
% 4.72/1.43 % (2314043)Instructions burned: 24 (million)
% 4.72/1.43 % (2314027)Instruction limit reached!
% 4.72/1.43 % (2314027)------------------------------
% 4.72/1.43 % (2314027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.43 % (2314027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314027)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314027)Termination reason: Instruction limit
% 4.72/1.47 % (2314027)Termination phase: Saturation
% 4.72/1.47 % (2314027)Time elapsed: 0.234 s
% 4.72/1.47 % (2314027)Peak memory usage: 119 MB
% 4.72/1.47 % (2314027)Instructions burned: 307 (million)
% 4.72/1.47 % (2314047)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2794082398:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.72/1.47 % (2314047)Instruction limit reached!
% 4.72/1.47 % (2314047)------------------------------
% 4.72/1.47 % (2314047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314047)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314047)Termination reason: Instruction limit
% 4.72/1.47 % (2314047)Termination phase: Saturation
% 4.72/1.47 % (2314047)Time elapsed: 0.002 s
% 4.72/1.47 % (2314047)Peak memory usage: 88 MB
% 4.72/1.47 % (2314047)Instructions burned: 4 (million)
% 4.72/1.47 % (2314046)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=802326369:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 4.72/1.47 % (2314046)Instruction limit reached!
% 4.72/1.47 % (2314046)------------------------------
% 4.72/1.47 % (2314046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314046)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314046)Termination reason: Instruction limit
% 4.72/1.47 % (2314046)Termination phase: Saturation
% 4.72/1.47 % (2314046)Time elapsed: 0.044 s
% 4.72/1.47 % (2314046)Peak memory usage: 89 MB
% 4.72/1.47 % (2314046)Instructions burned: 86 (million)
% 4.72/1.47 % (2314050)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=970654013:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.72/1.47 % (2314051)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2924202473:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.72/1.47 % (2314051)Instruction limit reached!
% 4.72/1.47 % (2314051)------------------------------
% 4.72/1.47 % (2314051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314051)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314051)Termination reason: Instruction limit
% 4.72/1.47 % (2314051)Termination phase: Saturation
% 4.72/1.47 % (2314051)Time elapsed: 0.004 s
% 4.72/1.47 % (2314051)Peak memory usage: 88 MB
% 4.72/1.47 % (2314051)Instructions burned: 5 (million)
% 4.72/1.47 % (2314055)lrs+10_1_thi=all:si=on:fd=off:random_seed=1440232278:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 4.72/1.47 % (2314054)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1033913560:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 4.72/1.47 % (2314058)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1999403688:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 4.72/1.47 % (2314058)Instruction limit reached!
% 4.72/1.47 % (2314058)------------------------------
% 4.72/1.47 % (2314058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314058)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314058)Termination reason: Instruction limit
% 4.72/1.47 % (2314058)Termination phase: Saturation
% 4.72/1.47 % (2314058)Time elapsed: 0.002 s
% 4.72/1.47 % (2314058)Peak memory usage: 89 MB
% 4.72/1.47 % (2314058)Instructions burned: 4 (million)
% 4.72/1.47 % (2314056)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=2456722975:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 4.72/1.47 % (2314056)Instruction limit reached!
% 4.72/1.47 % (2314056)------------------------------
% 4.72/1.47 % (2314056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314056)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314056)Termination reason: Instruction limit
% 4.72/1.47 % (2314056)Termination phase: Saturation
% 4.72/1.47 % (2314056)Time elapsed: 0.006 s
% 4.72/1.47 % (2314056)Peak memory usage: 88 MB
% 4.72/1.47 % (2314056)Instructions burned: 8 (million)
% 4.72/1.47 % (2314055)Instruction limit reached!
% 4.72/1.47 % (2314055)------------------------------
% 4.72/1.47 % (2314055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314055)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314055)Termination reason: Instruction limit
% 4.72/1.47 % (2314055)Termination phase: Saturation
% 4.72/1.47 % (2314055)Time elapsed: 0.065 s
% 4.72/1.47 % (2314055)Peak memory usage: 116 MB
% 4.72/1.47 % (2314055)Instructions burned: 54 (million)
% 4.72/1.47 % (2314050)Instruction limit reached!
% 4.72/1.47 % (2314050)------------------------------
% 4.72/1.47 % (2314050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314050)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314050)Termination reason: Instruction limit
% 4.72/1.47 % (2314050)Termination phase: Saturation
% 4.72/1.47 % (2314050)Time elapsed: 0.112 s
% 4.72/1.47 % (2314050)Peak memory usage: 90 MB
% 4.72/1.47 % (2314050)Instructions burned: 182 (million)
% 4.72/1.47 % (2314054)Instruction limit reached!
% 4.72/1.47 % (2314054)------------------------------
% 4.72/1.47 % (2314054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (2314054)CaDiCaL version: 2.1.3
% 4.72/1.47 % (2314054)Termination reason: Instruction limit
% 4.72/1.47 % (2314054)Termination phase: Saturation
% 4.72/1.47 % (2314054)Time elapsed: 0.097 s
% 4.72/1.47 % (2314054)Peak memory usage: 133 MB
% 4.72/1.47 % (2314054)Instructions burned: 67 (million)
% 4.72/1.47 % (2314060)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=177768020:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 4.72/1.47 % (2314060)Instruction limit reached!
% 4.72/1.47 % (2314060)------------------------------
% 4.72/1.47 % (2314060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (2314060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.48 % (2314060)CaDiCaL version: 2.1.3
% 4.72/1.48 % (2314060)Termination reason: Instruction limit
% 4.72/1.48 % (2314060)Termination phase: Saturation
% 4.72/1.48 % (2314060)Time elapsed: 0.002 s
% 4.72/1.48 % (2314060)Peak memory usage: 88 MB
% 4.72/1.48 % (2314060)Instructions burned: 2 (million)
% 4.72/1.48 % (2314067)dis+10_1_si=on:random_seed=1467516727:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 4.72/1.48 % (2314067)First to succeed.
% 4.72/1.48 % (2314067)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2314021"
% 4.72/1.48 % (2314063)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=710956153:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 4.72/1.48 % (2314069)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1110089580:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 4.72/1.48 % (2314069)Refutation not found, incomplete strategy
% 4.72/1.48 % (2314069)------------------------------
% 4.72/1.48 % (2314069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.48 % (2314069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.48 % (2314069)CaDiCaL version: 2.1.3
% 4.72/1.48 % (2314069)Termination reason: Refutation not found, incomplete strategy
% 4.72/1.48 % (2314069)Time elapsed: 0.003 s
% 4.72/1.48 % (2314069)Peak memory usage: 89 MB
% 4.72/1.48 % (2314069)Instructions burned: 3 (million)
% 4.72/1.48 % (2314063)Also succeeded, but the first one will report.
% 4.72/1.48 % (2314070)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1179504054: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_2993 on theBenchmark for (2993ds/35Mi)
% 4.72/1.48 % (2314071)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1544427223:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 4.72/1.48 % (2314071)Instruction limit reached!
% 4.72/1.48 % (2314071)------------------------------
% 4.72/1.48 % (2314071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.48 % (2314071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2314071)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2314071)Termination reason: Instruction limit
% 6.43/1.67 % (2314071)Termination phase: Saturation
% 6.43/1.67 % (2314071)Time elapsed: 0.002 s
% 6.43/1.67 % (2314071)Peak memory usage: 87 MB
% 6.43/1.67 % (2314071)Instructions burned: 2 (million)
% 6.43/1.67 % (2314073)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1954985518:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 6.43/1.67 % (2314070)Instruction limit reached!
% 6.43/1.67 % (2314070)------------------------------
% 6.43/1.67 % (2314070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2314070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2314070)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2314070)Termination reason: Instruction limit
% 6.43/1.67 % (2314070)Termination phase: Saturation
% 6.43/1.67 % (2314070)Time elapsed: 0.030 s
% 6.43/1.67 % (2314070)Peak memory usage: 89 MB
% 6.43/1.67 % (2314070)Instructions burned: 36 (million)
% 6.43/1.67 % (2314073)Instruction limit reached!
% 6.43/1.67 % (2314073)------------------------------
% 6.43/1.67 % (2314073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2314073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2314073)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2314073)Termination reason: Instruction limit
% 6.43/1.67 % (2314073)Termination phase: Saturation
% 6.43/1.67 % (2314073)Time elapsed: 0.008 s
% 6.43/1.67 % (2314073)Peak memory usage: 88 MB
% 6.43/1.67 % (2314073)Instructions burned: 9 (million)
% 6.43/1.67 % (2314074)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=89561222:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 6.43/1.67 % (2314067)Refutation found. Thanks to Tanya!
% 6.43/1.67 % SZS status Theorem for theBenchmark
% 6.43/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 6.43/1.67 % (2314067)------------------------------
% 6.43/1.67 % (2314067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2314067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2314067)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2314067)Termination reason: Refutation
% 6.43/1.67 % (2314067)Time elapsed: 0.004 s
% 6.43/1.67 % (2314067)Peak memory usage: 89 MB
% 6.43/1.67 % (2314067)Instructions burned: 8 (million)
% 6.43/1.67 % (2314067)------------------------------
% 6.43/1.67 % (2314067)------------------------------
% 6.43/1.67 % (2314021)Success in time 0.832 s
% 6.43/1.67 % Vampire exiting
%------------------------------------------------------------------------------