%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT027_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:47:08 AM UTC 2026
% Result : Theorem 1.91s 0.65s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 75 ( 19 unt; 0 typ; 16 def)
% Number of atoms : 212 ( 44 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 211 ( 74 ~; 62 |; 46 &)
% ( 17 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 133 ( 33 atm; 11 fun; 33 num; 56 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 : 19 ( 14 usr; 14 prp; 0-2 aty)
% Number of functors : 13 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 82 ( 67 !; 15 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: collection ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: collection ).
tff(func_def_11,type,
sK4: $int ).
tff(func_def_12,type,
sF5: $int ).
tff(func_def_13,type,
sF6: collection ).
tff(func_def_14,type,
sF7: collection ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f4,axiom,
! [X0: $int,X2: $int,X1: collection] :
( ( in(X0,X1)
| ( X0 = X2 ) )
<=> in(X0,add(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f5,axiom,
! [X1: collection,X0: $int,X2: $int] :
( in(X0,remove(X2,X1))
<=> ( in(X0,X1)
& ( X0 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f6,conjecture,
! [X3: $int,X1: collection,X2: $int,X0: collection] :
( ( ( X0 = add($sum(X2,X3),remove(X2,X1)) )
& $greatereq(X3,0)
& ! [X4: $int] :
( in(X4,X1)
=> $greater(X4,0) )
& in(X2,X1) )
=> ! [X5: $int] :
( in(X5,X0)
=> $greater(X5,0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f7,negated_conjecture,
~ ! [X3: $int,X1: collection,X2: $int,X0: collection] :
( ( ( X0 = add($sum(X2,X3),remove(X2,X1)) )
& $greatereq(X3,0)
& ! [X4: $int] :
( in(X4,X1)
=> $greater(X4,0) )
& in(X2,X1) )
=> ! [X5: $int] :
( in(X5,X0)
=> $greater(X5,0) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
~ ! [X3: $int,X1: collection,X2: $int,X0: collection] :
( ( ( X0 = add($sum(X2,X3),remove(X2,X1)) )
& ~ $less(X3,0)
& ! [X4: $int] :
( in(X4,X1)
=> $less(0,X4) )
& in(X2,X1) )
=> ! [X5: $int] :
( in(X5,X0)
=> $less(0,X5) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f21,plain,
~ ! [X2: $int,X0: $int,X3: collection,X1: collection] :
( ( ! [X4: $int] :
( in(X4,X1)
=> $less(0,X4) )
& ~ $less(X0,0)
& in(X2,X1)
& ( add($sum(X2,X0),remove(X2,X1)) = X3 ) )
=> ! [X5: $int] :
( in(X5,X3)
=> $less(0,X5) ) ),
inference(rectify,[],[f8]) ).
tff(f22,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( in(X1,X0)
& ( X1 != X2 ) )
<=> in(X1,remove(X2,X0)) ),
inference(rectify,[],[f5]) ).
tff(f23,plain,
! [X0: $int,X2: collection,X1: $int] :
( in(X0,add(X1,X2))
<=> ( in(X0,X2)
| ( X0 = X1 ) ) ),
inference(rectify,[],[f4]) ).
tff(f25,plain,
? [X2: $int,X0: $int,X3: collection,X1: collection] :
( ? [X5: $int] :
( ~ $less(0,X5)
& in(X5,X3) )
& ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,X1) )
& ~ $less(X0,0)
& in(X2,X1)
& ( add($sum(X2,X0),remove(X2,X1)) = X3 ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f26,plain,
? [X2: $int,X3: collection,X0: $int,X1: collection] :
( ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,X1) )
& ? [X5: $int] :
( ~ $less(0,X5)
& in(X5,X3) )
& ~ $less(X0,0)
& in(X2,X1)
& ( add($sum(X2,X0),remove(X2,X1)) = X3 ) ),
inference(flattening,[],[f25]) ).
tff(f28,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( ( in(X1,X0)
& ( X1 != X2 ) )
| ~ in(X1,remove(X2,X0)) )
& ( in(X1,remove(X2,X0))
| ~ in(X1,X0)
| ( X1 = X2 ) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f29,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( ( in(X1,X0)
& ( X1 != X2 ) )
| ~ in(X1,remove(X2,X0)) )
& ( in(X1,remove(X2,X0))
| ~ in(X1,X0)
| ( X1 = X2 ) ) ),
inference(flattening,[],[f28]) ).
tff(f30,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( in(X2,X1)
& ( X0 != X2 ) )
| ~ in(X2,remove(X0,X1)) )
& ( in(X2,remove(X0,X1))
| ~ in(X2,X1)
| ( X0 = X2 ) ) ),
inference(rectify,[],[f29]) ).
tff(f31,plain,
! [X0: $int,X2: collection,X1: $int] :
( ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) )
& ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f32,plain,
! [X0: $int,X2: collection,X1: $int] :
( ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) )
& ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) ) ),
inference(flattening,[],[f31]) ).
tff(f33,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X0,add(X2,X1))
| ( ~ in(X0,X1)
& ( X0 != X2 ) ) )
& ( in(X0,X1)
| ( X0 = X2 )
| ~ in(X0,add(X2,X1)) ) ),
inference(rectify,[],[f32]) ).
tff(f34,plain,
? [X0: $int,X1: collection,X2: $int,X3: collection] :
( ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,X3) )
& ? [X5: $int] :
( ~ $less(0,X5)
& in(X5,X1) )
& ~ $less(X2,0)
& in(X0,X3)
& ( add($sum(X0,X2),remove(X0,X3)) = X1 ) ),
inference(rectify,[],[f26]) ).
tff(f35,plain,
( ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,sK3) )
& ~ $less(0,sK4)
& in(sK4,sK1)
& ~ $less(sK2,0)
& in(sK0,sK3)
& ( add($sum(sK0,sK2),remove(sK0,sK3)) = sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X5,sK4)],[f34]) ).
tff(f40,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X2,remove(X0,X1))
| in(X2,X1) ),
inference(cnf_transformation,[],[f30]) ).
tff(f42,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,add(X2,X1))
| ( X0 = X2 )
| in(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f45,plain,
add($sum(sK0,sK2),remove(sK0,sK3)) = sK1,
inference(cnf_transformation,[],[f35]) ).
tff(f46,plain,
in(sK0,sK3),
inference(cnf_transformation,[],[f35]) ).
tff(f47,plain,
~ $less(sK2,0),
inference(cnf_transformation,[],[f35]) ).
tff(f48,plain,
in(sK4,sK1),
inference(cnf_transformation,[],[f35]) ).
tff(f49,plain,
~ $less(0,sK4),
inference(cnf_transformation,[],[f35]) ).
tff(f50,plain,
! [X4: $int] :
( ~ in(X4,sK3)
| $less(0,X4) ),
inference(cnf_transformation,[],[f35]) ).
tff(f53,definition,
sF5 = $sum(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f54,definition,
sF6 = remove(sK0,sK3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f55,definition,
sF7 = add(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f56,plain,
add(sF5,sF6) = sF7,
inference(reorient_equations,[],[f55]) ).
tff(f57,plain,
sK1 = sF7,
inference(definition_folding,[],[f45,f56,f54,f53]) ).
tff(f59,definition,
( spl8_1
<=> ( add(sF5,sF6) = sF7 ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
tff(f61,plain,
( ( add(sF5,sF6) = sF7 )
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f62,plain,
spl8_1,
inference(avatar_split_clause,[],[f56,f59]) ).
tff(f64,definition,
( spl8_2
<=> ( sF5 = $sum(sK0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
tff(f67,plain,
spl8_2,
inference(avatar_split_clause,[],[f53,f64]) ).
tff(f69,definition,
( spl8_3
<=> ( sF6 = remove(sK0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
tff(f71,plain,
( ( sF6 = remove(sK0,sK3) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f69]) ).
tff(f72,plain,
spl8_3,
inference(avatar_split_clause,[],[f54,f69]) ).
tff(f74,definition,
( spl8_4
<=> in(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
tff(f76,plain,
( in(sK0,sK3)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f77,plain,
spl8_4,
inference(avatar_split_clause,[],[f46,f74]) ).
tff(f79,definition,
( spl8_5
<=> ( sK1 = sF7 ) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
tff(f81,plain,
( ( sK1 = sF7 )
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f79]) ).
tff(f82,plain,
spl8_5,
inference(avatar_split_clause,[],[f57,f79]) ).
tff(f84,definition,
( spl8_6
<=> $less(0,sK4) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
tff(f86,plain,
( ~ $less(0,sK4)
| spl8_6 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f87,plain,
~ spl8_6,
inference(avatar_split_clause,[],[f49,f84]) ).
tff(f89,definition,
( spl8_7
<=> $less(sK2,0) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
tff(f92,plain,
~ spl8_7,
inference(avatar_split_clause,[],[f47,f89]) ).
tff(f94,definition,
( spl8_8
<=> in(sK4,sK1) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
tff(f96,plain,
( in(sK4,sK1)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f97,plain,
spl8_8,
inference(avatar_split_clause,[],[f48,f94]) ).
tff(f98,plain,
( ( sK1 = add(sF5,sF6) )
| ~ spl8_1
| ~ spl8_5 ),
inference(forward_demodulation,[],[f61,f81]) ).
tff(f100,definition,
( spl8_9
<=> ( sK1 = add(sF5,sF6) ) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
tff(f102,plain,
( ( sK1 = add(sF5,sF6) )
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f100]) ).
tff(f103,plain,
( spl8_9
| ~ spl8_1
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f98,f79,f59,f100]) ).
tff(f104,plain,
( $less(0,sK0)
| ~ spl8_4 ),
inference(resolution,[],[f50,f76]) ).
tff(f106,definition,
( spl8_10
<=> $less(0,sK0) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
tff(f109,plain,
( spl8_10
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f104,f74,f106]) ).
tff(f137,plain,
( ! [X0: $int] :
( ~ in(X0,sF6)
| in(X0,sK3) )
| ~ spl8_3 ),
inference(superposition,[],[f40,f71]) ).
tff(f235,plain,
( ! [X0: $int] :
( ~ in(X0,sK1)
| in(X0,sF6)
| ( sF5 = X0 ) )
| ~ spl8_9 ),
inference(superposition,[],[f42,f102]) ).
tff(f236,plain,
( ( sF5 = sK4 )
| in(sK4,sF6)
| ~ spl8_8
| ~ spl8_9 ),
inference(resolution,[],[f235,f96]) ).
tff(f239,definition,
( spl8_15
<=> ( sF5 = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
tff(f243,definition,
( spl8_16
<=> in(sK4,sF6) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
tff(f245,plain,
( in(sK4,sF6)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f246,plain,
( spl8_15
| spl8_16
| ~ spl8_8
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f236,f100,f94,f243,f239]) ).
tff(f247,plain,
( in(sK4,sK3)
| ~ spl8_3
| ~ spl8_16 ),
inference(resolution,[],[f245,f137]) ).
tff(f250,definition,
( spl8_17
<=> in(sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
tff(f252,plain,
( in(sK4,sK3)
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f250]) ).
tff(f253,plain,
( spl8_17
| ~ spl8_3
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f247,f243,f69,f250]) ).
tff(f262,plain,
( $less(0,sK4)
| ~ spl8_17 ),
inference(resolution,[],[f252,f50]) ).
tff(f263,plain,
( $false
| spl8_6
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f262,f86]) ).
tff(f264,plain,
( spl8_6
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f263]) ).
tff(f265,plain,
$false,
inference(avatar_smt_refutation,[],[f264,f253,f246,f109,f103,f97,f92,f87,f82,f77,f72,f67,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : DAT027_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 00:05:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running first-order theorem proving
% 0.09/0.12 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
% 1.91/0.65 % (3914910)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 1.91/0.65 % (3914986)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3295789261:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 1.91/0.65 % (3914993)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3435724331:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 1.91/0.65 % (3914988)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4199103018:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 1.91/0.65 % (3914991)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2010885315:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 1.91/0.65 % (3914989)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2917697167:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 1.91/0.65 % (3914985)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1730770071:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 1.91/0.65 % (3914991)Instruction limit reached!
% 1.91/0.65 % (3914991)------------------------------
% 1.91/0.65 % (3914991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/0.65 % (3914991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.65 % (3914991)CaDiCaL version: 2.1.3
% 1.91/0.65 % (3914991)Termination reason: Instruction limit
% 1.91/0.65 % (3914991)Termination phase: Saturation
% 1.91/0.65 % (3914991)Time elapsed: 0.002 s
% 1.91/0.65 % (3914991)Peak memory usage: 89 MB
% 1.91/0.65 % (3914991)Instructions burned: 4 (million)
% 1.91/0.65 % (3914989)Instruction limit reached!
% 1.91/0.65 % (3914989)------------------------------
% 1.91/0.65 % (3914989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/0.65 % (3914989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.65 % (3914989)CaDiCaL version: 2.1.3
% 1.91/0.65 % (3914989)Termination reason: Instruction limit
% 1.91/0.65 % (3914989)Termination phase: Saturation
% 1.91/0.65 % (3914989)Time elapsed: 0.003 s
% 1.91/0.65 % (3914989)Peak memory usage: 88 MB
% 1.91/0.65 % (3914989)Instructions burned: 8 (million)
% 1.91/0.65 % (3914992)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=665701491:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 1.91/0.65 % (3914985)Instruction limit reached!
% 1.91/0.65 % (3914985)------------------------------
% 1.91/0.65 % (3914985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/0.65 % (3914985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.65 % (3914985)CaDiCaL version: 2.1.3
% 1.91/0.65 % (3914985)Termination reason: Instruction limit
% 1.91/0.65 % (3914985)Termination phase: Saturation
% 1.91/0.65 % (3914985)Time elapsed: 0.018 s
% 1.91/0.65 % (3914985)Peak memory usage: 115 MB
% 1.91/0.65 % (3914985)Instructions burned: 12 (million)
% 1.91/0.65 % (3914986)Refutation not found, incomplete strategy
% 1.91/0.65 % (3914986)------------------------------
% 1.91/0.65 % (3914986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/0.65 % (3914986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.65 % (3914986)CaDiCaL version: 2.1.3
% 1.91/0.65 % (3914986)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.65 % (3914986)Time elapsed: 0.022 s
% 1.91/0.65 % (3914986)Peak memory usage: 115 MB
% 1.91/0.65 % (3914986)Instructions burned: 16 (million)
% 1.91/0.65 % (3914993)First to succeed.
% 1.91/0.65 % (3914993)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3914910"
% 1.91/0.65 % (3914992)Also succeeded, but the first one will report.
% 1.91/0.65 % (3914988)Also succeeded, but the first one will report.
% 1.91/0.65 % (3915036)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3526992455:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.91/0.65 % (3915036)Refutation not found, incomplete strategy
% 1.91/0.65 % (3915036)------------------------------
% 1.91/0.65 % (3915036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/0.65 % (3915036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.65 % (3915036)CaDiCaL version: 2.1.3
% 1.91/0.65 % (3915036)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.65 % (3915036)Time elapsed: 0.002 s
% 1.91/0.65 % (3915036)Peak memory usage: 89 MB
% 1.91/0.65 % (3915036)Instructions burned: 2 (million)
% 1.91/0.65 % (3915037)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=235214603:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2999 on theBenchmark for (2999ds/29Mi)
% 1.91/0.65 % (3915037)Instruction limit reached!
% 1.91/0.65 % (3915037)------------------------------
% 1.91/0.65 % (3915037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/0.65 % (3915037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.65 % (3915037)CaDiCaL version: 2.1.3
% 1.91/0.65 % (3915037)Termination reason: Instruction limit
% 1.91/0.65 % (3915037)Termination phase: Saturation
% 1.91/0.65 % (3915037)Time elapsed: 0.012 s
% 1.91/0.65 % (3915037)Peak memory usage: 88 MB
% 1.91/0.65 % (3915037)Instructions burned: 30 (million)
% 1.91/0.65 % (3915048)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=60704858:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 1.91/0.65 % (3915048)Refutation not found, incomplete strategy
% 1.91/0.65 % (3915048)------------------------------
% 1.91/0.65 % (3915048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/0.65 % (3915048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.65 % (3915048)CaDiCaL version: 2.1.3
% 1.91/0.65 % (3915048)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.65 % (3915048)Time elapsed: 0.004 s
% 1.91/0.65 % (3915048)Peak memory usage: 90 MB
% 1.91/0.65 % (3915048)Instructions burned: 9 (million)
% 1.91/0.65 % (3914986)------------------------------
% 1.91/0.65 % (3914986)------------------------------
% 1.91/0.65 % (3914993)Refutation found. Thanks to Tanya!
% 1.91/0.65 % SZS status Theorem for theBenchmark
% 1.91/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.74 % (3914993)------------------------------
% 2.29/0.74 % (3914993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.74 % (3914993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.74 % (3914993)CaDiCaL version: 2.1.3
% 2.29/0.74 % (3914993)Termination reason: Refutation
% 2.29/0.74 % (3914993)Time elapsed: 0.026 s
% 2.29/0.74 % (3914993)Peak memory usage: 117 MB
% 2.29/0.74 % (3914993)Instructions burned: 26 (million)
% 2.29/0.74 % (3914993)------------------------------
% 2.29/0.74 % (3914993)------------------------------
% 2.29/0.74 % (3914910)Success in time 0.284 s
% 2.29/0.74 % Vampire exiting
%------------------------------------------------------------------------------