%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT039_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 : n011.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 09:47:09 AM UTC 2026
% Result : Theorem 3.98s 1.42s
% Output : Refutation 5.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 69 ( 17 unt; 0 typ; 10 def)
% Number of atoms : 211 ( 69 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 228 ( 86 ~; 89 |; 36 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 153 ( 9 atm; 19 fun; 76 num; 49 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 : 14 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 15 ( 7 usr; 9 con; 0-2 aty)
% Number of variables : 72 ( 66 !; 6 ?; 72 :)
% 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_11,type,
sK0: $int ).
tff(func_def_12,type,
sK1: collection ).
tff(func_def_13,type,
sF2: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
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(f7,axiom,
! [X0: collection] :
( ( X0 = empty )
<=> ( count(X0) = 0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f10,axiom,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(remove(X0,X1)) = $difference(count(X1),1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f13,conjecture,
! [X0: collection,X1: $int] :
( ( in(3,X0)
& ( count(X0) = 2 )
& in(2,X0)
& $greater(X1,3) )
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f14,negated_conjecture,
~ ! [X0: collection,X1: $int] :
( ( in(3,X0)
& ( count(X0) = 2 )
& in(2,X0)
& $greater(X1,3) )
=> ~ in(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f15,plain,
~ ! [X1: $int,X0: collection] :
( ( $less(3,X1)
& ( count(X0) = 2 )
& in(2,X0)
& in(3,X0) )
=> ~ in(X1,X0) ),
inference(theory_normalization,[],[f14]) ).
tff(f16,plain,
! [X1: collection,X0: $int] :
( in(X0,X1)
<=> ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f20,plain,
! [X1: $int,X0: collection,X2: $int] :
( ( ( X1 != X2 )
& in(X1,X0) )
<=> in(X1,remove(X2,X0)) ),
inference(rectify,[],[f5]) ).
tff(f23,plain,
? [X1: $int,X0: collection] :
( in(X1,X0)
& $less(3,X1)
& ( count(X0) = 2 )
& in(2,X0)
& in(3,X0) ),
inference(ennf_transformation,[],[f15]) ).
tff(f24,plain,
? [X1: $int,X0: collection] :
( in(3,X0)
& ( count(X0) = 2 )
& $less(3,X1)
& in(X1,X0)
& in(2,X0) ),
inference(flattening,[],[f23]) ).
tff(f26,plain,
! [X0: collection] :
( ( ( X0 = empty )
| ( count(X0) != 0 ) )
& ( ( count(X0) = 0 )
| ( empty != X0 ) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f34,plain,
? [X0: $int,X1: collection] :
( in(3,X1)
& ( count(X1) = 2 )
& $less(3,X0)
& in(X0,X1)
& in(2,X1) ),
inference(rectify,[],[f24]) ).
tff(f35,plain,
( in(3,sK1)
& ( 2 = count(sK1) )
& $less(3,sK0)
& in(sK0,sK1)
& in(2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f34]) ).
tff(f37,plain,
! [X1: collection,X0: $int] :
( ( in(X0,X1)
| ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) )
& ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f38,plain,
! [X0: collection,X1: $int] :
( ( in(X1,X0)
| ( count(remove(X1,X0)) != $sum(count(X0),$uminus(1)) ) )
& ( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
| ~ in(X1,X0) ) ),
inference(rectify,[],[f37]) ).
tff(f39,plain,
! [X1: $int,X0: collection,X2: $int] :
( ( ( ( X1 != X2 )
& in(X1,X0) )
| ~ in(X1,remove(X2,X0)) )
& ( in(X1,remove(X2,X0))
| ( X1 = X2 )
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f40,plain,
! [X1: $int,X0: collection,X2: $int] :
( ( ( ( X1 != X2 )
& in(X1,X0) )
| ~ in(X1,remove(X2,X0)) )
& ( in(X1,remove(X2,X0))
| ( X1 = X2 )
| ~ in(X1,X0) ) ),
inference(flattening,[],[f39]) ).
tff(f41,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(rectify,[],[f40]) ).
tff(f45,plain,
! [X0: collection] :
( ( count(X0) != 0 )
| ( empty = X0 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f49,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f56,plain,
in(2,sK1),
inference(cnf_transformation,[],[f35]) ).
tff(f57,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f35]) ).
tff(f58,plain,
$less(3,sK0),
inference(cnf_transformation,[],[f35]) ).
tff(f59,plain,
2 = count(sK1),
inference(cnf_transformation,[],[f35]) ).
tff(f60,plain,
in(3,sK1),
inference(cnf_transformation,[],[f35]) ).
tff(f63,plain,
! [X0: collection,X1: $int] :
( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f65,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,remove(X2,X1))
| ~ in(X0,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f73,definition,
sF2 = count(sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f74,plain,
count(sK1) = sF2,
inference(reorient_equations,[],[f73]) ).
tff(f75,plain,
2 = sF2,
inference(definition_folding,[],[f59,f74]) ).
tff(f76,plain,
! [X0: collection,X1: $int] :
( ( count(remove(X1,X0)) = $sum(count(X0),-1) )
| ~ in(X1,X0) ),
inference(evaluation,[],[f63]) ).
tff(f79,definition,
( spl3_1
<=> in(3,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f81,plain,
( in(3,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f79]) ).
tff(f82,plain,
spl3_1,
inference(avatar_split_clause,[],[f60,f79]) ).
tff(f84,definition,
( spl3_2
<=> in(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f86,plain,
( in(sK0,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f87,plain,
spl3_2,
inference(avatar_split_clause,[],[f57,f84]) ).
tff(f89,definition,
( spl3_3
<=> ( count(sK1) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f91,plain,
( ( count(sK1) = sF2 )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f89]) ).
tff(f92,plain,
spl3_3,
inference(avatar_split_clause,[],[f74,f89]) ).
tff(f94,definition,
( spl3_4
<=> $less(3,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f97,plain,
spl3_4,
inference(avatar_split_clause,[],[f58,f94]) ).
tff(f99,definition,
( spl3_5
<=> in(2,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f101,plain,
( in(2,sK1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f102,plain,
spl3_5,
inference(avatar_split_clause,[],[f56,f99]) ).
tff(f104,definition,
( spl3_6
<=> ( 2 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f106,plain,
( ( 2 = sF2 )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f104]) ).
tff(f107,plain,
spl3_6,
inference(avatar_split_clause,[],[f75,f104]) ).
tff(f113,plain,
( ( 2 = count(sK1) )
| ~ spl3_3
| ~ spl3_6 ),
inference(forward_demodulation,[],[f91,f106]) ).
tff(f115,definition,
( spl3_8
<=> ( 2 = count(sK1) ) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
tff(f117,plain,
( ( 2 = count(sK1) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f115]) ).
tff(f118,plain,
( spl3_8
| ~ spl3_3
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f113,f104,f89,f115]) ).
tff(f167,plain,
! [X0: collection,X1: $int] :
( ( 0 != $sum(count(X0),-1) )
| ~ in(X1,X0)
| ( empty = remove(X1,X0) ) ),
inference(superposition,[],[f45,f76]) ).
tff(f274,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( 0 != $sum($sum(count(X0),-1),-1) )
| ~ in(X2,remove(X1,X0))
| ( empty = remove(X2,remove(X1,X0)) )
| ~ in(X1,X0) ),
inference(superposition,[],[f167,f76]) ).
tff(f1739,plain,
( ! [X0: $int,X1: $int] :
( ~ in(X0,remove(X1,sK1))
| ~ in(X1,sK1)
| ( empty = remove(X0,remove(X1,sK1)) )
| ( 0 != $sum($sum(2,-1),-1) ) )
| ~ spl3_8 ),
inference(superposition,[],[f274,f117]) ).
tff(f1740,plain,
( ! [X0: $int,X1: $int] :
( ( empty = remove(X0,remove(X1,sK1)) )
| ~ in(X0,remove(X1,sK1))
| ~ in(X1,sK1) )
| ~ spl3_8 ),
inference(evaluation,[],[f1739]) ).
tff(f1750,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ in(X2,sK1)
| ~ in(X1,remove(X2,sK1))
| ( X0 = X1 )
| ~ in(X0,remove(X2,sK1))
| in(X0,empty) )
| ~ spl3_8 ),
inference(superposition,[],[f65,f1740]) ).
tff(f1774,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ in(X1,remove(X2,sK1))
| ~ in(X2,sK1)
| ~ in(X0,remove(X2,sK1))
| ( X0 = X1 ) )
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f1750,f49]) ).
tff(f2168,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ in(X1,remove(X0,sK1))
| ~ in(X2,sK1)
| ( X0 = X2 )
| ~ in(X0,sK1)
| ( X1 = X2 ) )
| ~ spl3_8 ),
inference(resolution,[],[f1774,f65]) ).
tff(f4358,definition,
( spl3_221
<=> ( 2 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl3_221])],[avatar_definition]) ).
tff(f4523,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ in(X2,sK1)
| ( X0 = X2 )
| ~ in(X1,sK1)
| ( X1 = X2 )
| ~ in(X0,sK1)
| ( X0 = X1 ) )
| ~ spl3_8 ),
inference(resolution,[],[f2168,f65]) ).
tff(f4593,plain,
( ! [X0: $int,X1: $int] :
( ~ in(X1,sK1)
| ( 2 = X0 )
| ( X0 = X1 )
| ~ in(X0,sK1)
| ( 2 = X1 ) )
| ~ spl3_5
| ~ spl3_8 ),
inference(resolution,[],[f4523,f101]) ).
tff(f4623,plain,
( ! [X0: $int] :
( ( 3 = X0 )
| ~ in(X0,sK1)
| ( 2 = 3 )
| ( 2 = X0 ) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8 ),
inference(resolution,[],[f4593,f81]) ).
tff(f4626,plain,
( ! [X0: $int] :
( ~ in(X0,sK1)
| ( 2 = X0 )
| ( 3 = X0 ) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8 ),
inference(evaluation,[],[f4623]) ).
tff(f4666,plain,
( ( 3 = sK0 )
| ( 2 = sK0 )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8 ),
inference(resolution,[],[f4626,f86]) ).
tff(f4668,definition,
( spl3_229
<=> ( 3 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl3_229])],[avatar_definition]) ).
tff(f4671,plain,
( spl3_221
| spl3_229
| ~ spl3_1
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f4666,f115,f99,f84,f79,f4668,f4358]) ).
tff(f4672,plain,
$false,
inference(avatar_smt_refutation,[],[f4671,f118,f107,f102,f97,f92,f87,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT039_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n011.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 00:06:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.98/1.42 % (3912057)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.98/1.42 % (3912138)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3195738885:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.98/1.42 % (3912138)Instruction limit reached!
% 3.98/1.42 % (3912138)------------------------------
% 3.98/1.42 % (3912138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912138)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912138)Termination reason: Instruction limit
% 3.98/1.42 % (3912138)Termination phase: Saturation
% 3.98/1.42 % (3912138)Time elapsed: 0.003 s
% 3.98/1.42 % (3912138)Peak memory usage: 88 MB
% 3.98/1.42 % (3912138)Instructions burned: 8 (million)
% 3.98/1.42 % (3912134)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3079155999:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.98/1.42 % (3912135)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3127111538:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.98/1.42 % (3912140)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2988141027:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.98/1.42 % (3912142)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1316421674:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.98/1.42 % (3912137)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3227285303:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.98/1.42 % (3912141)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1348240033:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.98/1.42 % (3912140)Instruction limit reached!
% 3.98/1.42 % (3912140)------------------------------
% 3.98/1.42 % (3912140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912140)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912140)Termination reason: Instruction limit
% 3.98/1.42 % (3912140)Termination phase: Saturation
% 3.98/1.42 % (3912140)Time elapsed: 0.005 s
% 3.98/1.42 % (3912140)Peak memory usage: 89 MB
% 3.98/1.42 % (3912140)Instructions burned: 5 (million)
% 3.98/1.42 % (3912134)Refutation not found, incomplete strategy
% 3.98/1.42 % (3912134)------------------------------
% 3.98/1.42 % (3912134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912134)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912134)Termination reason: Refutation not found, incomplete strategy
% 3.98/1.42 % (3912134)Time elapsed: 0.033 s
% 3.98/1.42 % (3912134)Peak memory usage: 116 MB
% 3.98/1.42 % (3912134)Instructions burned: 10 (million)
% 3.98/1.42 % (3912142)Instruction limit reached!
% 3.98/1.42 % (3912142)------------------------------
% 3.98/1.42 % (3912142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912142)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912142)Termination reason: Instruction limit
% 3.98/1.42 % (3912142)Termination phase: Saturation
% 3.98/1.42 % (3912142)Time elapsed: 0.046 s
% 3.98/1.42 % (3912142)Peak memory usage: 116 MB
% 3.98/1.42 % (3912142)Instructions burned: 33 (million)
% 3.98/1.42 % (3912141)Instruction limit reached!
% 3.98/1.42 % (3912141)------------------------------
% 3.98/1.42 % (3912141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912141)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912141)Termination reason: Instruction limit
% 3.98/1.42 % (3912141)Termination phase: Saturation
% 3.98/1.42 % (3912141)Time elapsed: 0.059 s
% 3.98/1.42 % (3912141)Peak memory usage: 115 MB
% 3.98/1.42 % (3912141)Instructions burned: 48 (million)
% 3.98/1.42 % (3912167)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2430461035:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.98/1.42 % (3912167)Instruction limit reached!
% 3.98/1.42 % (3912167)------------------------------
% 3.98/1.42 % (3912167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912167)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912167)Termination reason: Instruction limit
% 3.98/1.42 % (3912167)Termination phase: Saturation
% 3.98/1.42 % (3912167)Time elapsed: 0.017 s
% 3.98/1.42 % (3912167)Peak memory usage: 89 MB
% 3.98/1.42 % (3912167)Instructions burned: 14 (million)
% 3.98/1.42 % (3912188)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=2165398472:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.98/1.42 % (3912188)Instruction limit reached!
% 3.98/1.42 % (3912188)------------------------------
% 3.98/1.42 % (3912188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912188)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912188)Termination reason: Instruction limit
% 3.98/1.42 % (3912188)Termination phase: Saturation
% 3.98/1.42 % (3912188)Time elapsed: 0.018 s
% 3.98/1.42 % (3912188)Peak memory usage: 89 MB
% 3.98/1.42 % (3912188)Instructions burned: 29 (million)
% 3.98/1.42 % (3912137)Instruction limit reached!
% 3.98/1.42 % (3912137)------------------------------
% 3.98/1.42 % (3912137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912137)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912137)Termination reason: Instruction limit
% 3.98/1.42 % (3912137)Termination phase: Saturation
% 3.98/1.42 % (3912137)Time elapsed: 0.209 s
% 3.98/1.42 % (3912137)Peak memory usage: 117 MB
% 3.98/1.42 % (3912137)Instructions burned: 201 (million)
% 3.98/1.42 % (3912135)First to succeed.
% 3.98/1.42 % (3912135)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3912057"
% 3.98/1.42 % (3912199)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1325616764:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.98/1.42 % (3912199)Instruction limit reached!
% 3.98/1.42 % (3912199)------------------------------
% 3.98/1.42 % (3912199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912199)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912199)Termination reason: Instruction limit
% 3.98/1.42 % (3912199)Termination phase: Saturation
% 3.98/1.42 % (3912199)Time elapsed: 0.020 s
% 3.98/1.42 % (3912199)Peak memory usage: 90 MB
% 3.98/1.42 % (3912199)Instructions burned: 17 (million)
% 3.98/1.42 % (3912203)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3727088004:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.98/1.42 % (3912134)------------------------------
% 3.98/1.42 % (3912134)------------------------------
% 3.98/1.42 % (3912203)Instruction limit reached!
% 3.98/1.42 % (3912203)------------------------------
% 3.98/1.42 % (3912203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912203)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912203)Termination reason: Instruction limit
% 3.98/1.42 % (3912203)Termination phase: Saturation
% 3.98/1.42 % (3912203)Time elapsed: 0.031 s
% 3.98/1.42 % (3912203)Peak memory usage: 89 MB
% 3.98/1.42 % (3912203)Instructions burned: 24 (million)
% 3.98/1.42 % (3912228)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1598538942:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.98/1.42 % (3912227)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=122898293:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 3.98/1.42 % (3912228)Instruction limit reached!
% 3.98/1.42 % (3912228)------------------------------
% 3.98/1.42 % (3912228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912228)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912228)Termination reason: Instruction limit
% 3.98/1.42 % (3912228)Termination phase: Saturation
% 3.98/1.42 % (3912228)Time elapsed: 0.046 s
% 3.98/1.42 % (3912228)Peak memory usage: 89 MB
% 3.98/1.42 % (3912228)Instructions burned: 87 (million)
% 3.98/1.42 % (3912227)Instruction limit reached!
% 3.98/1.42 % (3912227)------------------------------
% 3.98/1.42 % (3912227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912227)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912227)Termination reason: Instruction limit
% 3.98/1.42 % (3912227)Termination phase: Saturation
% 3.98/1.42 % (3912227)Time elapsed: 0.031 s
% 3.98/1.42 % (3912227)Peak memory usage: 89 MB
% 3.98/1.42 % (3912227)Instructions burned: 29 (million)
% 3.98/1.42 % (3912232)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1022794428:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 3.98/1.42 % (3912232)Instruction limit reached!
% 3.98/1.42 % (3912232)------------------------------
% 3.98/1.42 % (3912232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912232)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912232)Termination reason: Instruction limit
% 3.98/1.42 % (3912232)Termination phase: Saturation
% 3.98/1.42 % (3912232)Time elapsed: 0.005 s
% 3.98/1.42 % (3912232)Peak memory usage: 88 MB
% 3.98/1.42 % (3912232)Instructions burned: 2 (million)
% 3.98/1.42 % (3912239)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=780588638:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 3.98/1.42 % (3912239)Refutation not found, incomplete strategy
% 3.98/1.42 % (3912239)------------------------------
% 3.98/1.42 % (3912239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.42 % (3912239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.42 % (3912239)CaDiCaL version: 2.1.3
% 3.98/1.42 % (3912239)Termination reason: Refutation not found, incomplete strategy
% 3.98/1.42 % (3912239)Time elapsed: 0.004 s
% 3.98/1.42 % (3912239)Peak memory usage: 89 MB
% 3.98/1.42 % (3912239)Instructions burned: 1 (million)
% 3.98/1.42 % (3912135)Refutation found. Thanks to Tanya!
% 3.98/1.42 % SZS status Theorem for theBenchmark
% 3.98/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 5.80/1.58 % (3912135)------------------------------
% 5.80/1.58 % (3912135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.58 % (3912135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.58 % (3912135)CaDiCaL version: 2.1.3
% 5.80/1.58 % (3912135)Termination reason: Refutation
% 5.80/1.58 % (3912135)Time elapsed: 0.244 s
% 5.80/1.58 % (3912135)Peak memory usage: 118 MB
% 5.80/1.58 % (3912135)Instructions burned: 294 (million)
% 5.80/1.58 % (3912135)------------------------------
% 5.80/1.58 % (3912135)------------------------------
% 5.80/1.58 % (3912057)Success in time 0.754 s
% 5.80/1.58 % Vampire exiting
%------------------------------------------------------------------------------