%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT032_1 : TPTP v9.3.1. Released v5.0.0.
% 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 09:47:08 AM UTC 2026
% Result : Theorem 2.63s 1.14s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of formulae : 90 ( 20 unt; 0 typ; 19 def)
% Number of atoms : 206 ( 62 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 203 ( 87 ~; 83 |; 8 &)
% ( 20 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 152 ( 16 atm; 33 fun; 81 num; 22 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 : 20 ( 16 usr; 16 prp; 0-2 aty)
% Number of functors : 18 ( 9 usr; 12 con; 0-2 aty)
% Number of variables : 48 ( 47 !; 1 ?; 48 :)
% 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_3,type,
count: collection > $int ).
tff(func_def_13,type,
sK0: collection ).
tff(func_def_14,type,
sF1: collection ).
tff(func_def_15,type,
sF2: $int ).
tff(func_def_16,type,
sF3: collection ).
tff(func_def_17,type,
sF4: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f3,axiom,
! [X1: collection,X0: $int] : ~ in(X0,remove(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f8,axiom,
! [X1: collection,X0: $int] :
( ~ in(X0,X1)
<=> ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f10,axiom,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(remove(X0,X1)) = $difference(count(X1),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f11,axiom,
! [X1: collection,X0: $int] :
( ~ in(X0,X1)
<=> ( count(remove(X0,X1)) = count(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(f12,axiom,
! [X1: collection,X0: $int] :
( in(X0,X1)
=> ( X1 = add(X0,remove(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
tff(f13,conjecture,
! [X0: collection] :
( $greatereq(count(remove(5,X0)),7)
=> $greatereq(count(remove(4,X0)),6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f14,negated_conjecture,
~ ! [X0: collection] :
( $greatereq(count(remove(5,X0)),7)
=> $greatereq(count(remove(4,X0)),6) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f15,plain,
~ ! [X0: collection] :
( ~ $less(count(remove(5,X0)),7)
=> ~ $less(count(remove(4,X0)),6) ),
inference(theory_normalization,[],[f14]) ).
tff(f16,plain,
! [X1: collection,X0: $int] :
( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
<=> in(X0,X1) ),
inference(theory_normalization,[],[f10]) ).
tff(f18,plain,
! [X0: collection,X1: $int] : ~ in(X1,remove(X1,X0)),
inference(rectify,[],[f3]) ).
tff(f19,plain,
! [X1: $int,X0: collection] :
( ( $sum(count(X0),1) = count(add(X1,X0)) )
<=> ~ in(X1,X0) ),
inference(rectify,[],[f8]) ).
tff(f20,plain,
! [X0: collection,X1: $int] :
( in(X1,X0)
=> ( add(X1,remove(X1,X0)) = X0 ) ),
inference(rectify,[],[f12]) ).
tff(f23,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( add(X1,remove(X1,X0)) = X0 ) ),
inference(ennf_transformation,[],[f20]) ).
tff(f24,plain,
? [X0: collection] :
( $less(count(remove(4,X0)),6)
& ~ $less(count(remove(5,X0)),7) ),
inference(ennf_transformation,[],[f15]) ).
tff(f31,plain,
! [X1: $int,X0: collection] :
( ( ( $sum(count(X0),1) = count(add(X1,X0)) )
| in(X1,X0) )
& ( ~ in(X1,X0)
| ( $sum(count(X0),1) != count(add(X1,X0)) ) ) ),
inference(nnf_transformation,[],[f19]) ).
tff(f32,plain,
! [X0: $int,X1: collection] :
( ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) )
& ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) ) ),
inference(rectify,[],[f31]) ).
tff(f36,plain,
! [X1: collection,X0: $int] :
( ( ~ in(X0,X1)
| ( count(X1) != count(remove(X0,X1)) ) )
& ( ( count(remove(X0,X1)) = count(X1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f37,plain,
! [X0: collection,X1: $int] :
( ( ~ in(X1,X0)
| ( count(X0) != count(remove(X1,X0)) ) )
& ( ( count(X0) = count(remove(X1,X0)) )
| in(X1,X0) ) ),
inference(rectify,[],[f36]) ).
tff(f38,plain,
( $less(count(remove(4,sK0)),6)
& ~ $less(count(remove(5,sK0)),7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f24]) ).
tff(f39,plain,
! [X1: collection,X0: $int] :
( ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) )
& ( in(X0,X1)
| ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f40,plain,
! [X0: collection,X1: $int] :
( ( ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) )
| ~ in(X1,X0) )
& ( in(X1,X0)
| ( $sum(count(X0),$uminus(1)) != count(remove(X1,X0)) ) ) ),
inference(rectify,[],[f39]) ).
tff(f49,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tff(f54,plain,
! [X0: collection,X1: $int] :
( ( count(X0) = count(remove(X1,X0)) )
| in(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
tff(f56,plain,
~ $less(count(remove(5,sK0)),7),
inference(cnf_transformation,[],[f38]) ).
tff(f57,plain,
$less(count(remove(4,sK0)),6),
inference(cnf_transformation,[],[f38]) ).
tff(f59,plain,
! [X0: collection,X1: $int] :
( ( add(X1,remove(X1,X0)) = X0 )
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
tff(f60,plain,
! [X0: collection,X1: $int] : ~ in(X1,remove(X1,X0)),
inference(cnf_transformation,[],[f18]) ).
tff(f63,plain,
! [X0: collection,X1: $int] :
( ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) )
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
tff(f68,definition,
sF1 = remove(4,sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f69,plain,
remove(4,sK0) = sF1,
inference(reorient_equations,[],[f68]) ).
tff(f70,definition,
sF2 = count(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f71,plain,
$less(sF2,6),
inference(definition_folding,[],[f57,f70,f69]) ).
tff(f72,definition,
sF3 = remove(5,sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f73,definition,
sF4 = count(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f74,plain,
count(sF3) = sF4,
inference(reorient_equations,[],[f73]) ).
tff(f75,plain,
~ $less(sF4,7),
inference(definition_folding,[],[f56,f74,f72]) ).
tff(f77,plain,
! [X0: collection,X1: $int] :
( ( $sum(count(X0),-1) = count(remove(X1,X0)) )
| ~ in(X1,X0) ),
inference(evaluation,[],[f63]) ).
tff(f79,definition,
( spl5_1
<=> $less(sF4,7) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
tff(f82,plain,
~ spl5_1,
inference(avatar_split_clause,[],[f75,f79]) ).
tff(f84,definition,
( spl5_2
<=> ( sF3 = remove(5,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
tff(f86,plain,
( ( sF3 = remove(5,sK0) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f87,plain,
spl5_2,
inference(avatar_split_clause,[],[f72,f84]) ).
tff(f94,definition,
( spl5_4
<=> $less(sF2,6) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
tff(f97,plain,
spl5_4,
inference(avatar_split_clause,[],[f71,f94]) ).
tff(f99,definition,
( spl5_5
<=> ( sF2 = count(sF1) ) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
tff(f101,plain,
( ( sF2 = count(sF1) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f102,plain,
spl5_5,
inference(avatar_split_clause,[],[f70,f99]) ).
tff(f104,definition,
( spl5_6
<=> ( count(sF3) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
tff(f106,plain,
( ( count(sF3) = sF4 )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f104]) ).
tff(f107,plain,
spl5_6,
inference(avatar_split_clause,[],[f74,f104]) ).
tff(f109,definition,
( spl5_7
<=> ( remove(4,sK0) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
tff(f111,plain,
( ( remove(4,sK0) = sF1 )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f112,plain,
spl5_7,
inference(avatar_split_clause,[],[f69,f109]) ).
tff(f132,plain,
( ~ in(4,sF1)
| ~ spl5_7 ),
inference(superposition,[],[f60,f111]) ).
tff(f134,definition,
( spl5_11
<=> in(4,sF1) ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
tff(f136,plain,
( ~ in(4,sF1)
| spl5_11 ),
inference(avatar_component_clause,[],[f134]) ).
tff(f137,plain,
( ~ spl5_11
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f132,f109,f134]) ).
tff(f163,plain,
( in(5,sK0)
| ( count(sF3) = count(sK0) )
| ~ spl5_2 ),
inference(superposition,[],[f54,f86]) ).
tff(f164,plain,
( in(4,sK0)
| ( count(sF1) = count(sK0) )
| ~ spl5_7 ),
inference(superposition,[],[f54,f111]) ).
tff(f167,plain,
( in(4,sK0)
| ( sF2 = count(sK0) )
| ~ spl5_5
| ~ spl5_7 ),
inference(forward_demodulation,[],[f164,f101]) ).
tff(f168,plain,
( in(5,sK0)
| ( sF4 = count(sK0) )
| ~ spl5_2
| ~ spl5_6 ),
inference(forward_demodulation,[],[f163,f106]) ).
tff(f170,definition,
( spl5_16
<=> in(4,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
tff(f172,plain,
( in(4,sK0)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f170]) ).
tff(f174,definition,
( spl5_17
<=> ( sF2 = count(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl5_17])],[avatar_definition]) ).
tff(f177,plain,
( spl5_16
| spl5_17
| ~ spl5_5
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f167,f109,f99,f174,f170]) ).
tff(f179,definition,
( spl5_18
<=> ( sF4 = count(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).
tff(f181,plain,
( ( sF4 = count(sK0) )
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f179]) ).
tff(f183,definition,
( spl5_19
<=> in(5,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
tff(f186,plain,
( spl5_18
| spl5_19
| ~ spl5_2
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f168,f104,f84,f183,f179]) ).
tff(f195,plain,
( ( add(4,sF1) = sK0 )
| ~ in(4,sK0)
| ~ spl5_7 ),
inference(superposition,[],[f59,f111]) ).
tff(f200,plain,
( ( add(4,sF1) = sK0 )
| ~ spl5_7
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f195,f172]) ).
tff(f208,definition,
( spl5_21
<=> ( add(4,sF1) = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl5_21])],[avatar_definition]) ).
tff(f210,plain,
( ( add(4,sF1) = sK0 )
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f208]) ).
tff(f211,plain,
( spl5_21
| ~ spl5_7
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f200,f170,f109,f208]) ).
tff(f261,plain,
( in(4,sF1)
| ( $sum(count(sF1),1) = count(sK0) )
| ~ spl5_21 ),
inference(superposition,[],[f49,f210]) ).
tff(f265,plain,
( ( $sum(count(sF1),1) = count(sK0) )
| spl5_11
| ~ spl5_21 ),
inference(forward_subsumption_resolution,[],[f261,f136]) ).
tff(f267,plain,
( ( sF4 = $sum(count(sF1),1) )
| spl5_11
| ~ spl5_18
| ~ spl5_21 ),
inference(forward_demodulation,[],[f265,f181]) ).
tff(f269,plain,
( ( sF4 = $sum(sF2,1) )
| ~ spl5_5
| spl5_11
| ~ spl5_18
| ~ spl5_21 ),
inference(forward_demodulation,[],[f267,f101]) ).
tff(f272,definition,
( spl5_25
<=> ( sF4 = $sum(sF2,1) ) ),
introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).
tff(f275,plain,
( spl5_25
| ~ spl5_5
| spl5_11
| ~ spl5_18
| ~ spl5_21 ),
inference(avatar_split_clause,[],[f269,f208,f179,f134,f99,f272]) ).
tff(f280,definition,
( spl5_26
<=> ( sF4 = $sum(count(sK0),-1) ) ),
introduced(definition,[new_symbols(definition,[spl5_26])],[avatar_definition]) ).
tff(f289,plain,
( ~ in(5,sK0)
| ( count(sF3) = $sum(count(sK0),-1) )
| ~ spl5_2 ),
inference(superposition,[],[f77,f86]) ).
tff(f290,plain,
( ( count(sF1) = $sum(count(sK0),-1) )
| ~ in(4,sK0)
| ~ spl5_7 ),
inference(superposition,[],[f77,f111]) ).
tff(f298,plain,
( ~ in(5,sK0)
| ( sF4 = $sum(count(sK0),-1) )
| ~ spl5_2
| ~ spl5_6 ),
inference(forward_demodulation,[],[f289,f106]) ).
tff(f299,plain,
( ( count(sF1) = $sum(count(sK0),-1) )
| ~ spl5_7
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f290,f172]) ).
tff(f300,plain,
( spl5_26
| ~ spl5_19
| ~ spl5_2
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f298,f104,f84,f183,f280]) ).
tff(f301,plain,
( ( sF2 = $sum(count(sK0),-1) )
| ~ spl5_5
| ~ spl5_7
| ~ spl5_16 ),
inference(forward_demodulation,[],[f299,f101]) ).
tff(f303,definition,
( spl5_28
<=> ( sF2 = $sum(count(sK0),-1) ) ),
introduced(definition,[new_symbols(definition,[spl5_28])],[avatar_definition]) ).
tff(f306,plain,
( spl5_28
| ~ spl5_5
| ~ spl5_7
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f301,f170,f109,f99,f303]) ).
tff(f307,plain,
$false,
inference(avatar_smt_refutation,[],[f306,f300,f275,f211,f186,f177,f137,f112,f107,f102,f97,f87,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT032_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:06:00 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.63/1.14 % (3618636)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.63/1.14 % (3618645)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2743025699:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.63/1.14 % (3618645)Instruction limit reached!
% 2.63/1.14 % (3618645)------------------------------
% 2.63/1.14 % (3618645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618645)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618645)Termination reason: Instruction limit
% 2.63/1.14 % (3618645)Termination phase: Saturation
% 2.63/1.14 % (3618645)Time elapsed: 0.003 s
% 2.63/1.14 % (3618645)Peak memory usage: 89 MB
% 2.63/1.14 % (3618645)Instructions burned: 7 (million)
% 2.63/1.14 % (3618642)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2765214929:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.63/1.14 % (3618641)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3616714202:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.63/1.14 % (3618644)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3071605553:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.63/1.14 % (3618643)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3443108519:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.63/1.14 % (3618644)Instruction limit reached!
% 2.63/1.14 % (3618644)------------------------------
% 2.63/1.14 % (3618644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618644)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618644)Termination reason: Instruction limit
% 2.63/1.14 % (3618644)Termination phase: Saturation
% 2.63/1.14 % (3618644)Time elapsed: 0.006 s
% 2.63/1.14 % (3618644)Peak memory usage: 88 MB
% 2.63/1.14 % (3618644)Instructions burned: 9 (million)
% 2.63/1.14 % (3618646)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2303379154:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.63/1.14 % (3618647)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2574416226:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.63/1.14 % (3618641)Refutation not found, incomplete strategy
% 2.63/1.14 % (3618641)------------------------------
% 2.63/1.14 % (3618641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618641)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618641)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.14 % (3618641)Time elapsed: 0.034 s
% 2.63/1.14 % (3618641)Peak memory usage: 115 MB
% 2.63/1.14 % (3618641)Instructions burned: 12 (million)
% 2.63/1.14 % (3618642)First to succeed.
% 2.63/1.14 % (3618646)Also succeeded, but the first one will report.
% 2.63/1.14 % (3618642)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3618636"
% 2.63/1.14 % (3618647)Instruction limit reached!
% 2.63/1.14 % (3618647)------------------------------
% 2.63/1.14 % (3618647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618647)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618647)Termination reason: Instruction limit
% 2.63/1.14 % (3618647)Termination phase: Saturation
% 2.63/1.14 % (3618647)Time elapsed: 0.047 s
% 2.63/1.14 % (3618647)Peak memory usage: 115 MB
% 2.63/1.14 % (3618647)Instructions burned: 34 (million)
% 2.63/1.14 % (3618649)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3775100201:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.63/1.14 % (3618649)Instruction limit reached!
% 2.63/1.14 % (3618649)------------------------------
% 2.63/1.14 % (3618649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618649)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618649)Termination reason: Instruction limit
% 2.63/1.14 % (3618649)Termination phase: Saturation
% 2.63/1.14 % (3618649)Time elapsed: 0.006 s
% 2.63/1.14 % (3618649)Peak memory usage: 88 MB
% 2.63/1.14 % (3618649)Instructions burned: 15 (million)
% 2.63/1.14 % (3618643)Instruction limit reached!
% 2.63/1.14 % (3618643)------------------------------
% 2.63/1.14 % (3618643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618643)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618643)Termination reason: Instruction limit
% 2.63/1.14 % (3618643)Termination phase: Saturation
% 2.63/1.14 % (3618643)Time elapsed: 0.148 s
% 2.63/1.14 % (3618643)Peak memory usage: 117 MB
% 2.63/1.14 % (3618643)Instructions burned: 202 (million)
% 2.63/1.14 % (3618656)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=3731585169:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.63/1.14 % (3618656)Instruction limit reached!
% 2.63/1.14 % (3618656)------------------------------
% 2.63/1.14 % (3618656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618656)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618656)Termination reason: Instruction limit
% 2.63/1.14 % (3618656)Termination phase: Saturation
% 2.63/1.14 % (3618656)Time elapsed: 0.023 s
% 2.63/1.14 % (3618656)Peak memory usage: 89 MB
% 2.63/1.14 % (3618656)Instructions burned: 30 (million)
% 2.63/1.14 % (3618659)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1470494874:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 2.63/1.14 % (3618657)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1708970454:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 2.63/1.14 % (3618659)Instruction limit reached!
% 2.63/1.14 % (3618659)------------------------------
% 2.63/1.14 % (3618659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618659)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618659)Termination reason: Instruction limit
% 2.63/1.14 % (3618659)Termination phase: Saturation
% 2.63/1.14 % (3618659)Time elapsed: 0.012 s
% 2.63/1.14 % (3618659)Peak memory usage: 89 MB
% 2.63/1.14 % (3618659)Instructions burned: 26 (million)
% 2.63/1.14 % (3618657)Instruction limit reached!
% 2.63/1.14 % (3618657)------------------------------
% 2.63/1.14 % (3618657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.14 % (3618657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.14 % (3618657)CaDiCaL version: 2.1.3
% 2.63/1.14 % (3618657)Termination reason: Instruction limit
% 2.63/1.14 % (3618657)Termination phase: Saturation
% 2.63/1.14 % (3618657)Time elapsed: 0.012 s
% 2.63/1.14 % (3618657)Peak memory usage: 90 MB
% 2.63/1.14 % (3618657)Instructions burned: 17 (million)
% 2.63/1.14 % (3618641)------------------------------
% 2.63/1.14 % (3618641)------------------------------
% 2.63/1.14 % (3618660)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=3935311418:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 2.63/1.14 % (3618642)Refutation found. Thanks to Tanya!
% 2.63/1.14 % SZS status Theorem for theBenchmark
% 2.63/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.34 % (3618642)------------------------------
% 4.05/1.34 % (3618642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.34 % (3618642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.34 % (3618642)CaDiCaL version: 2.1.3
% 4.05/1.34 % (3618642)Termination reason: Refutation
% 4.05/1.34 % (3618642)Time elapsed: 0.051 s
% 4.05/1.34 % (3618642)Peak memory usage: 116 MB
% 4.05/1.34 % (3618642)Instructions burned: 34 (million)
% 4.05/1.34 % (3618642)------------------------------
% 4.05/1.34 % (3618642)------------------------------
% 4.05/1.34 % (3618636)Success in time 0.482 s
% 4.05/1.34 % Vampire exiting
%------------------------------------------------------------------------------