%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI616_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:33:29 AM UTC 2026
% Result : Theorem 3.50s 1.04s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 15 unt; 0 typ; 13 def)
% Number of atoms : 130 ( 14 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 120 ( 35 ~; 30 |; 32 &)
% ( 15 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 226 ( 48 atm; 97 fun; 0 num; 81 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 11 usr; 11 prp; 0-3 aty)
% Number of functors : 10 ( 8 usr; 8 con; 0-2 aty)
% Number of variables : 81 ( 57 !; 24 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(func_def_6,type,
sK2: $int ).
tff(func_def_7,type,
sK3: $int ).
tff(func_def_8,type,
sK4: $int ).
tff(func_def_9,type,
sF5: $int ).
tff(func_def_10,type,
sF6: $int ).
tff(func_def_11,type,
sF7: $int ).
tff(pred_def_1,type,
p: ( $int * $int * $int ) > $o ).
tff(f1,conjecture,
( ! [X0: $int,X1: $int,X2: $int] :
( p(X0,X1,X2)
<=> ( $lesseq($sum(X1,$uminus(X2)),X0)
& $lesseq(X0,$sum(X1,X2)) ) )
=> ! [X3: $int,X5: $int,X6: $int,X4: $int] :
( ? [X0: $int] :
( p(X0,X5,X6)
& p(X0,X3,X4) )
=> $lesseq($sum(X3,$uminus(X5)),$sum(X4,X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_of_radii_gt_distance_of_centers) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int,X1: $int,X2: $int] :
( p(X0,X1,X2)
<=> ( $lesseq($sum(X1,$uminus(X2)),X0)
& $lesseq(X0,$sum(X1,X2)) ) )
=> ! [X3: $int,X5: $int,X6: $int,X4: $int] :
( ? [X0: $int] :
( p(X0,X5,X6)
& p(X0,X3,X4) )
=> $lesseq($sum(X3,$uminus(X5)),$sum(X4,X6)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ! [X0: $int,X2: $int,X1: $int] :
( ( ~ $less(X0,$sum(X1,$uminus(X2)))
& ~ $less($sum(X1,X2),X0) )
<=> p(X0,X1,X2) )
=> ! [X3: $int,X5: $int,X6: $int,X4: $int] :
( ? [X0: $int] :
( p(X0,X5,X6)
& p(X0,X3,X4) )
=> ~ $less($sum(X4,X6),$sum(X3,$uminus(X5))) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(definition,[],[tha_order_totality]) ).
tff(f16,plain,
~ ( ! [X0: $int,X2: $int,X1: $int] :
( ( ~ $less(X0,$sum(X1,$uminus(X2)))
& ~ $less($sum(X1,X2),X0) )
<=> p(X0,X1,X2) )
=> ! [X3: $int,X4: $int,X6: $int,X5: $int] :
( ? [X7: $int] :
( p(X7,X3,X6)
& p(X7,X4,X5) )
=> ~ $less($sum(X6,X5),$sum(X3,$uminus(X4))) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
( ! [X0: $int,X2: $int,X1: $int] :
( ( ~ $less(X0,$sum(X1,$uminus(X2)))
& ~ $less($sum(X1,X2),X0) )
<=> p(X0,X1,X2) )
& ? [X5: $int,X4: $int,X3: $int,X6: $int] :
( ? [X7: $int] :
( p(X7,X3,X6)
& p(X7,X4,X5) )
& $less($sum(X6,X5),$sum(X3,$uminus(X4))) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
( ! [X0: $int,X2: $int,X1: $int] :
( ( ( ~ $less(X0,$sum(X1,$uminus(X2)))
& ~ $less($sum(X1,X2),X0) )
| ~ p(X0,X1,X2) )
& ( p(X0,X1,X2)
| $less(X0,$sum(X1,$uminus(X2)))
| $less($sum(X1,X2),X0) ) )
& ? [X5: $int,X4: $int,X3: $int,X6: $int] :
( ? [X7: $int] :
( p(X7,X3,X6)
& p(X7,X4,X5) )
& $less($sum(X6,X5),$sum(X3,$uminus(X4))) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f19,plain,
( ! [X0: $int,X2: $int,X1: $int] :
( ( ( ~ $less(X0,$sum(X1,$uminus(X2)))
& ~ $less($sum(X1,X2),X0) )
| ~ p(X0,X1,X2) )
& ( p(X0,X1,X2)
| $less(X0,$sum(X1,$uminus(X2)))
| $less($sum(X1,X2),X0) ) )
& ? [X5: $int,X4: $int,X3: $int,X6: $int] :
( ? [X7: $int] :
( p(X7,X3,X6)
& p(X7,X4,X5) )
& $less($sum(X6,X5),$sum(X3,$uminus(X4))) ) ),
inference(flattening,[],[f18]) ).
tff(f20,plain,
( ! [X0: $int,X1: $int,X2: $int] :
( ( ( ~ $less(X0,$sum(X2,$uminus(X1)))
& ~ $less($sum(X2,X1),X0) )
| ~ p(X0,X2,X1) )
& ( p(X0,X2,X1)
| $less(X0,$sum(X2,$uminus(X1)))
| $less($sum(X2,X1),X0) ) )
& ? [X3: $int,X4: $int,X5: $int,X6: $int] :
( ? [X7: $int] :
( p(X7,X5,X6)
& p(X7,X4,X3) )
& $less($sum(X6,X3),$sum(X5,$uminus(X4))) ) ),
inference(rectify,[],[f19]) ).
tff(f21,plain,
( ! [X0: $int,X1: $int,X2: $int] :
( ( ( ~ $less(X0,$sum(X2,$uminus(X1)))
& ~ $less($sum(X2,X1),X0) )
| ~ p(X0,X2,X1) )
& ( p(X0,X2,X1)
| $less(X0,$sum(X2,$uminus(X1)))
| $less($sum(X2,X1),X0) ) )
& p(sK4,sK2,sK3)
& p(sK4,sK1,sK0)
& $less($sum(sK3,sK0),$sum(sK2,$uminus(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X3,sK0),skolemize(X4,sK1),skolemize(X5,sK2),skolemize(X6,sK3),skolemize(X7,sK4)],[f20]) ).
tff(f22,plain,
$less($sum(sK3,sK0),$sum(sK2,$uminus(sK1))),
inference(cnf_transformation,[],[f21]) ).
tff(f23,plain,
p(sK4,sK1,sK0),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
p(sK4,sK2,sK3),
inference(cnf_transformation,[],[f21]) ).
tff(f26,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($sum(X2,X1),X0)
| ~ p(X0,X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f27,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,$sum(X2,$uminus(X1)))
| ~ p(X0,X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f28,definition,
sF5 = $sum(sK3,sK0),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f29,plain,
$sum(sK3,sK0) = sF5,
inference(reorient_equations,[],[f28]) ).
tff(f30,definition,
sF6 = $uminus(sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f31,definition,
sF7 = $sum(sK2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f32,plain,
$less(sF5,sF7),
inference(definition_folding,[],[f22,f31,f30,f29]) ).
tff(f34,definition,
( spl8_1
<=> ( sF7 = $sum(sK2,sF6) ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
tff(f37,plain,
spl8_1,
inference(avatar_split_clause,[],[f31,f34]) ).
tff(f39,definition,
( spl8_2
<=> ( $sum(sK3,sK0) = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
tff(f42,plain,
spl8_2,
inference(avatar_split_clause,[],[f29,f39]) ).
tff(f44,definition,
( spl8_3
<=> p(sK4,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
tff(f46,plain,
( p(sK4,sK1,sK0)
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f44]) ).
tff(f47,plain,
spl8_3,
inference(avatar_split_clause,[],[f23,f44]) ).
tff(f49,definition,
( spl8_4
<=> p(sK4,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
tff(f51,plain,
( p(sK4,sK2,sK3)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f49]) ).
tff(f52,plain,
spl8_4,
inference(avatar_split_clause,[],[f24,f49]) ).
tff(f54,definition,
( spl8_5
<=> $less(sF5,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
tff(f57,plain,
spl8_5,
inference(avatar_split_clause,[],[f32,f54]) ).
tff(f59,definition,
( spl8_6
<=> ( sF6 = $uminus(sK1) ) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
tff(f62,plain,
spl8_6,
inference(avatar_split_clause,[],[f30,f59]) ).
tff(f143,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ p(X2,X0,X1)
| ( $sum(X0,X1) = X2 )
| $less(X2,$sum(X0,X1)) ),
inference(resolution,[],[f11,f26]) ).
tff(f146,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ p(X0,X1,X2)
| $less($sum(X1,$uminus(X2)),X0)
| ( $sum(X1,$uminus(X2)) = X0 ) ),
inference(resolution,[],[f11,f27]) ).
tff(f348,plain,
( ( $sum(sK1,sK0) = sK4 )
| $less(sK4,$sum(sK1,sK0))
| ~ spl8_3 ),
inference(resolution,[],[f143,f46]) ).
tff(f352,definition,
( spl8_10
<=> ( $sum(sK1,sK0) = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
tff(f356,definition,
( spl8_11
<=> $less(sK4,$sum(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
tff(f359,plain,
( spl8_10
| spl8_11
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f348,f44,f356,f352]) ).
tff(f403,plain,
( $less($sum(sK2,$uminus(sK3)),sK4)
| ( $sum(sK2,$uminus(sK3)) = sK4 )
| ~ spl8_4 ),
inference(resolution,[],[f146,f51]) ).
tff(f415,definition,
( spl8_18
<=> ( $sum(sK2,$uminus(sK3)) = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
tff(f419,definition,
( spl8_19
<=> $less($sum(sK2,$uminus(sK3)),sK4) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
tff(f422,plain,
( spl8_18
| spl8_19
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f403,f49,f419,f415]) ).
tff(f423,plain,
$false,
inference(avatar_smt_refutation,[],[f422,f359,f62,f57,f52,f47,f42,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI616_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:54:20 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/0.86 % (542544)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.47/0.86 % (542608)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3106933716:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.47/0.86 % (542610)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2066805221:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.47/0.86 % (542607)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3379842286:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.47/0.86 % (542605)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2490497782:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.47/0.86 % (542603)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3840271210:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.47/0.86 % (542602)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=909013797:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.47/0.86 % (542604)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3206746310:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.47/0.86 % (542607)Instruction limit reached!
% 2.47/0.86 % (542607)------------------------------
% 2.47/0.86 % (542607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.86 % (542607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.86 % (542607)CaDiCaL version: 2.1.3
% 2.47/0.86 % (542607)Termination reason: Instruction limit
% 2.47/0.86 % (542607)Termination phase: Saturation
% 2.47/0.86 % (542607)Time elapsed: 0.004 s
% 2.47/0.86 % (542607)Peak memory usage: 88 MB
% 2.47/0.86 % (542607)Instructions burned: 5 (million)
% 2.47/0.86 % (542605)Instruction limit reached!
% 2.47/0.86 % (542605)------------------------------
% 2.47/0.86 % (542605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.86 % (542605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.86 % (542605)CaDiCaL version: 2.1.3
% 2.47/0.86 % (542605)Termination reason: Instruction limit
% 2.47/0.86 % (542605)Termination phase: Saturation
% 2.47/0.86 % (542605)Time elapsed: 0.005 s
% 2.47/0.86 % (542605)Peak memory usage: 88 MB
% 2.47/0.86 % (542605)Instructions burned: 7 (million)
% 2.47/0.86 % (542608)Refutation not found, incomplete strategy
% 2.47/0.86 % (542608)------------------------------
% 2.47/0.86 % (542608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.86 % (542608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.86 % (542608)CaDiCaL version: 2.1.3
% 2.47/0.86 % (542608)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.86 % (542608)Time elapsed: 0.019 s
% 2.47/0.86 % (542608)Peak memory usage: 116 MB
% 2.47/0.86 % (542608)Instructions burned: 8 (million)
% 2.47/0.86 % (542603)Refutation not found, incomplete strategy
% 2.47/0.86 % (542603)------------------------------
% 2.47/0.86 % (542603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.86 % (542603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.86 % (542603)CaDiCaL version: 2.1.3
% 2.47/0.86 % (542603)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.86 % (542603)Time elapsed: 0.032 s
% 2.47/0.86 % (542603)Peak memory usage: 116 MB
% 2.47/0.86 % (542603)Instructions burned: 11 (million)
% 2.47/0.86 % (542602)Refutation not found, incomplete strategy
% 2.47/0.86 % (542602)------------------------------
% 2.47/0.86 % (542602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.86 % (542602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.86 % (542602)CaDiCaL version: 2.1.3
% 2.47/0.86 % (542602)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.86 % (542602)Time elapsed: 0.033 s
% 2.47/0.86 % (542602)Peak memory usage: 116 MB
% 2.47/0.86 % (542602)Instructions burned: 13 (million)
% 2.47/0.86 % (542610)First to succeed.
% 2.47/0.86 % (542610)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-542544"
% 2.47/0.86 % (542624)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1430995082:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.47/0.86 % (542625)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=2970448109:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.50/1.04 % (542624)Refutation not found, incomplete strategy
% 3.50/1.04 % (542624)------------------------------
% 3.50/1.04 % (542624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.04 % (542624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (542624)CaDiCaL version: 2.1.3
% 3.50/1.04 % (542624)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.04 % (542624)Time elapsed: 0.001 s
% 3.50/1.04 % (542624)Peak memory usage: 88 MB
% 3.50/1.04 % (542625)Instruction limit reached!
% 3.50/1.04 % (542625)------------------------------
% 3.50/1.04 % (542625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.04 % (542625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (542625)CaDiCaL version: 2.1.3
% 3.50/1.04 % (542625)Termination reason: Instruction limit
% 3.50/1.04 % (542625)Termination phase: Saturation
% 3.50/1.04 % (542625)Time elapsed: 0.022 s
% 3.50/1.04 % (542625)Peak memory usage: 88 MB
% 3.50/1.04 % (542625)Instructions burned: 29 (million)
% 3.50/1.04 % (542608)------------------------------
% 3.50/1.04 % (542608)------------------------------
% 3.50/1.04 % (542604)Instruction limit reached!
% 3.50/1.04 % (542604)------------------------------
% 3.50/1.04 % (542604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.04 % (542604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (542604)CaDiCaL version: 2.1.3
% 3.50/1.04 % (542604)Termination reason: Instruction limit
% 3.50/1.04 % (542604)Termination phase: Saturation
% 3.50/1.04 % (542604)Time elapsed: 0.182 s
% 3.50/1.04 % (542604)Peak memory usage: 117 MB
% 3.50/1.04 % (542604)Instructions burned: 202 (million)
% 3.50/1.04 % (542675)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2595305957:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.50/1.04 % (542675)Instruction limit reached!
% 3.50/1.04 % (542675)------------------------------
% 3.50/1.04 % (542675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.04 % (542675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (542675)CaDiCaL version: 2.1.3
% 3.50/1.04 % (542675)Termination reason: Instruction limit
% 3.50/1.04 % (542675)Termination phase: Saturation
% 3.50/1.04 % (542675)Time elapsed: 0.011 s
% 3.50/1.04 % (542675)Peak memory usage: 89 MB
% 3.50/1.04 % (542675)Instructions burned: 26 (million)
% 3.50/1.04 % (542603)------------------------------
% 3.50/1.04 % (542603)------------------------------
% 3.50/1.04 % (542602)------------------------------
% 3.50/1.04 % (542602)------------------------------
% 3.50/1.04 % (542674)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3263089671:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.50/1.04 % (542610)Refutation found. Thanks to Tanya!
% 3.50/1.04 % SZS status Theorem for theBenchmark
% 3.50/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.05 % (542610)------------------------------
% 3.50/1.05 % (542610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.05 % (542610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.05 % (542610)CaDiCaL version: 2.1.3
% 3.50/1.05 % (542610)Termination reason: Refutation
% 3.50/1.05 % (542610)Time elapsed: 0.051 s
% 3.50/1.05 % (542610)Peak memory usage: 117 MB
% 3.50/1.05 % (542610)Instructions burned: 34 (million)
% 3.50/1.05 % (542610)------------------------------
% 3.50/1.05 % (542610)------------------------------
% 3.50/1.05 % (542544)Success in time 0.434 s
% 3.50/1.05 % Vampire exiting
%------------------------------------------------------------------------------