%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT040_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 : n006.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 09:47:10 AM UTC 2026
% Result : Theorem 3.94s 1.26s
% Output : Refutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 75 ( 19 unt; 0 typ; 13 def)
% Number of atoms : 227 ( 72 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 236 ( 84 ~; 89 |; 43 &)
% ( 17 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 165 ( 18 atm; 19 fun; 72 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 : 16 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 18 ( 8 usr; 12 con; 0-2 aty)
% Number of variables : 79 ( 70 !; 9 ?; 79 :)
% 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: $int ).
tff(func_def_14,type,
sK1: collection ).
tff(func_def_15,type,
sK2: $int ).
tff(func_def_16,type,
sF3: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f5,axiom,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,remove(X2,X1))
<=> ( ( X0 != X2 )
& in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f7,axiom,
! [X0: collection] :
( ( X0 = empty )
<=> ( count(X0) = 0 ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f13,conjecture,
! [X1: $int,X0: collection,X2: $int] :
( ( ( count(X0) = 2 )
& in(X2,X0)
& in(X1,X0)
& $less(X1,3)
& $less(6,X2) )
=> ~ in(5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f14,negated_conjecture,
~ ! [X1: $int,X0: collection,X2: $int] :
( ( ( count(X0) = 2 )
& in(X2,X0)
& in(X1,X0)
& $less(X1,3)
& $less(6,X2) )
=> ~ in(5,X0) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f15,plain,
! [X1: collection,X0: $int] :
( in(X0,X1)
<=> ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f18,plain,
~ ! [X0: $int,X2: $int,X1: collection] :
( ( in(X2,X1)
& $less(X0,3)
& ( count(X1) = 2 )
& $less(6,X2)
& in(X0,X1) )
=> ~ in(5,X1) ),
inference(rectify,[],[f14]) ).
tff(f22,plain,
! [X2: collection,X0: $int,X1: $int] :
( ( in(X1,X2)
& ( X0 != X1 ) )
<=> in(X1,remove(X0,X2)) ),
inference(rectify,[],[f5]) ).
tff(f23,plain,
? [X0: $int,X2: $int,X1: collection] :
( in(5,X1)
& in(X2,X1)
& $less(X0,3)
& ( count(X1) = 2 )
& $less(6,X2)
& in(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f24,plain,
? [X2: $int,X1: collection,X0: $int] :
( $less(X0,3)
& ( count(X1) = 2 )
& in(X0,X1)
& $less(6,X2)
& in(X2,X1)
& in(5,X1) ),
inference(flattening,[],[f23]) ).
tff(f28,plain,
? [X0: $int,X1: collection,X2: $int] :
( $less(X2,3)
& ( count(X1) = 2 )
& in(X2,X1)
& $less(6,X0)
& in(X0,X1)
& in(5,X1) ),
inference(rectify,[],[f24]) ).
tff(f29,plain,
( $less(sK2,3)
& ( 2 = count(sK1) )
& in(sK2,sK1)
& $less(6,sK0)
& in(sK0,sK1)
& in(5,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f28]) ).
tff(f30,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,[],[f15]) ).
tff(f31,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,[],[f30]) ).
tff(f32,plain,
! [X0: collection] :
( ( ( X0 = empty )
| ( count(X0) != 0 ) )
& ( ( count(X0) = 0 )
| ( empty != X0 ) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f40,plain,
! [X2: collection,X0: $int,X1: $int] :
( ( ( in(X1,X2)
& ( X0 != X1 ) )
| ~ in(X1,remove(X0,X2)) )
& ( in(X1,remove(X0,X2))
| ~ in(X1,X2)
| ( X0 = X1 ) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f41,plain,
! [X2: collection,X0: $int,X1: $int] :
( ( ( in(X1,X2)
& ( X0 != X1 ) )
| ~ in(X1,remove(X0,X2)) )
& ( in(X1,remove(X0,X2))
| ~ in(X1,X2)
| ( X0 = X1 ) ) ),
inference(flattening,[],[f40]) ).
tff(f42,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( ( in(X2,X0)
& ( X1 != X2 ) )
| ~ in(X2,remove(X1,X0)) )
& ( in(X2,remove(X1,X0))
| ~ in(X2,X0)
| ( X1 = X2 ) ) ),
inference(rectify,[],[f41]) ).
tff(f45,plain,
in(5,sK1),
inference(cnf_transformation,[],[f29]) ).
tff(f46,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f29]) ).
tff(f47,plain,
$less(6,sK0),
inference(cnf_transformation,[],[f29]) ).
tff(f48,plain,
in(sK2,sK1),
inference(cnf_transformation,[],[f29]) ).
tff(f49,plain,
2 = count(sK1),
inference(cnf_transformation,[],[f29]) ).
tff(f50,plain,
$less(sK2,3),
inference(cnf_transformation,[],[f29]) ).
tff(f51,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f52,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) ) ),
inference(cnf_transformation,[],[f31]) ).
tff(f57,plain,
! [X0: collection] :
( ( count(X0) != 0 )
| ( empty = X0 ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f67,plain,
! [X2: $int,X0: collection,X1: $int] :
( in(X2,remove(X1,X0))
| ~ in(X2,X0)
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f73,definition,
sF3 = count(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f74,plain,
count(sK1) = sF3,
inference(reorient_equations,[],[f73]) ).
tff(f75,plain,
2 = sF3,
inference(definition_folding,[],[f49,f74]) ).
tff(f76,plain,
! [X0: collection,X1: $int] :
( ( count(remove(X1,X0)) = $sum(count(X0),-1) )
| ~ in(X1,X0) ),
inference(evaluation,[],[f52]) ).
tff(f79,definition,
( spl4_1
<=> in(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f81,plain,
( in(sK2,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f79]) ).
tff(f82,plain,
spl4_1,
inference(avatar_split_clause,[],[f48,f79]) ).
tff(f84,definition,
( spl4_2
<=> $less(sK2,3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f87,plain,
spl4_2,
inference(avatar_split_clause,[],[f50,f84]) ).
tff(f94,definition,
( spl4_4
<=> $less(6,sK0) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
tff(f97,plain,
spl4_4,
inference(avatar_split_clause,[],[f47,f94]) ).
tff(f99,definition,
( spl4_5
<=> ( count(sK1) = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
tff(f101,plain,
( ( count(sK1) = sF3 )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f102,plain,
spl4_5,
inference(avatar_split_clause,[],[f74,f99]) ).
tff(f104,definition,
( spl4_6
<=> ( 2 = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
tff(f106,plain,
( ( 2 = sF3 )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f104]) ).
tff(f107,plain,
spl4_6,
inference(avatar_split_clause,[],[f75,f104]) ).
tff(f109,definition,
( spl4_7
<=> in(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
tff(f111,plain,
( in(sK0,sK1)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f112,plain,
spl4_7,
inference(avatar_split_clause,[],[f46,f109]) ).
tff(f114,definition,
( spl4_8
<=> in(5,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
tff(f116,plain,
( in(5,sK1)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f117,plain,
spl4_8,
inference(avatar_split_clause,[],[f45,f114]) ).
tff(f119,plain,
( ( 2 = count(sK1) )
| ~ spl4_5
| ~ spl4_6 ),
inference(forward_demodulation,[],[f101,f106]) ).
tff(f121,definition,
( spl4_9
<=> ( 2 = count(sK1) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
tff(f123,plain,
( ( 2 = count(sK1) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f124,plain,
( spl4_9
| ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f119,f104,f99,f121]) ).
tff(f165,plain,
! [X0: collection,X1: $int] :
( ( 0 != $sum(count(X0),-1) )
| ( empty = remove(X1,X0) )
| ~ in(X1,X0) ),
inference(superposition,[],[f57,f76]) ).
tff(f279,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,[],[f165,f76]) ).
tff(f1096,plain,
( ! [X0: $int,X1: $int] :
( ~ in(X0,remove(X1,sK1))
| ~ in(X1,sK1)
| ( 0 != $sum($sum(2,-1),-1) )
| ( empty = remove(X0,remove(X1,sK1)) ) )
| ~ spl4_9 ),
inference(superposition,[],[f279,f123]) ).
tff(f1097,plain,
( ! [X0: $int,X1: $int] :
( ( empty = remove(X0,remove(X1,sK1)) )
| ~ in(X1,sK1)
| ~ in(X0,remove(X1,sK1)) )
| ~ spl4_9 ),
inference(evaluation,[],[f1096]) ).
tff(f1109,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( in(X0,empty)
| ~ in(X1,remove(X2,sK1))
| ( X0 = X1 )
| ~ in(X2,sK1)
| ~ in(X0,remove(X2,sK1)) )
| ~ spl4_9 ),
inference(superposition,[],[f67,f1097]) ).
tff(f1132,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ in(X1,remove(X2,sK1))
| ~ in(X2,sK1)
| ( X0 = X1 )
| ~ in(X0,remove(X2,sK1)) )
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f1109,f51]) ).
tff(f1612,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ in(X1,remove(X0,sK1))
| ( X0 = X2 )
| ~ in(X0,sK1)
| ( X1 = X2 )
| ~ in(X2,sK1) )
| ~ spl4_9 ),
inference(resolution,[],[f1132,f67]) ).
tff(f3777,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ in(X2,sK1)
| ( X1 = X2 )
| ~ in(X0,sK1)
| ~ in(X1,sK1)
| ( X0 = X1 )
| ( X0 = X2 ) )
| ~ spl4_9 ),
inference(resolution,[],[f1612,f67]) ).
tff(f3814,plain,
( ! [X0: $int,X1: $int] :
( ~ in(X1,sK1)
| ~ in(X0,sK1)
| ( X0 = X1 )
| ( 5 = X1 )
| ( 5 = X0 ) )
| ~ spl4_8
| ~ spl4_9 ),
inference(resolution,[],[f3777,f116]) ).
tff(f3874,plain,
( ! [X0: $int] :
( ~ in(X0,sK1)
| ( 5 = sK0 )
| ( 5 = X0 )
| ( sK0 = X0 ) )
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9 ),
inference(resolution,[],[f3814,f111]) ).
tff(f3878,definition,
( spl4_208
<=> ! [X0: $int] :
( ~ in(X0,sK1)
| ( sK0 = X0 )
| ( 5 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_208])],[avatar_definition]) ).
tff(f3879,plain,
( ! [X0: $int] :
( ~ in(X0,sK1)
| ( 5 = X0 )
| ( sK0 = X0 ) )
| ~ spl4_208 ),
inference(avatar_component_clause,[],[f3878]) ).
tff(f3881,definition,
( spl4_209
<=> ( 5 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl4_209])],[avatar_definition]) ).
tff(f3884,plain,
( spl4_208
| spl4_209
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f3874,f121,f114,f109,f3881,f3878]) ).
tff(f3889,definition,
( spl4_211
<=> ( 5 = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl4_211])],[avatar_definition]) ).
tff(f3935,plain,
( ( 5 = sK2 )
| ( sK2 = sK0 )
| ~ spl4_1
| ~ spl4_208 ),
inference(resolution,[],[f3879,f81]) ).
tff(f3937,definition,
( spl4_216
<=> ( sK2 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl4_216])],[avatar_definition]) ).
tff(f3940,plain,
( spl4_211
| spl4_216
| ~ spl4_1
| ~ spl4_208 ),
inference(avatar_split_clause,[],[f3935,f3878,f79,f3937,f3889]) ).
tff(f3941,plain,
$false,
inference(avatar_smt_refutation,[],[f3940,f3884,f124,f117,f112,f107,f102,f97,f87,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT040_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n006.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 00:05:55 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 3.94/1.26 % (328929)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.94/1.26 % (328938)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=945544077:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.94/1.26 % (328938)Instruction limit reached!
% 3.94/1.26 % (328938)------------------------------
% 3.94/1.26 % (328938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328938)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328938)Termination reason: Instruction limit
% 3.94/1.26 % (328938)Termination phase: Saturation
% 3.94/1.26 % (328938)Time elapsed: 0.003 s
% 3.94/1.26 % (328938)Peak memory usage: 89 MB
% 3.94/1.26 % (328938)Instructions burned: 7 (million)
% 3.94/1.26 % (328939)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=599021247:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.94/1.26 % (328935)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3422173091:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.94/1.26 % (328934)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4128836084:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.94/1.26 % (328937)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=277952023:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.94/1.26 % (328940)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=244832980:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.94/1.26 % (328936)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3617886310:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.94/1.26 % (328937)Instruction limit reached!
% 3.94/1.26 % (328937)------------------------------
% 3.94/1.26 % (328937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328937)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328937)Termination reason: Instruction limit
% 3.94/1.26 % (328937)Termination phase: Saturation
% 3.94/1.26 % (328937)Time elapsed: 0.005 s
% 3.94/1.26 % (328937)Peak memory usage: 88 MB
% 3.94/1.26 % (328937)Instructions burned: 7 (million)
% 3.94/1.26 % (328934)Refutation not found, incomplete strategy
% 3.94/1.26 % (328934)------------------------------
% 3.94/1.26 % (328934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328934)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328934)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.26 % (328934)Time elapsed: 0.033 s
% 3.94/1.26 % (328934)Peak memory usage: 116 MB
% 3.94/1.26 % (328934)Instructions burned: 11 (million)
% 3.94/1.26 % (328940)Instruction limit reached!
% 3.94/1.26 % (328940)------------------------------
% 3.94/1.26 % (328940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328940)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328940)Termination reason: Instruction limit
% 3.94/1.26 % (328940)Termination phase: Saturation
% 3.94/1.26 % (328940)Time elapsed: 0.047 s
% 3.94/1.26 % (328940)Peak memory usage: 116 MB
% 3.94/1.26 % (328940)Instructions burned: 33 (million)
% 3.94/1.26 % (328939)Instruction limit reached!
% 3.94/1.26 % (328939)------------------------------
% 3.94/1.26 % (328939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328939)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328939)Termination reason: Instruction limit
% 3.94/1.26 % (328939)Termination phase: Saturation
% 3.94/1.26 % (328939)Time elapsed: 0.053 s
% 3.94/1.26 % (328939)Peak memory usage: 115 MB
% 3.94/1.26 % (328939)Instructions burned: 47 (million)
% 3.94/1.26 % (328942)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3520460616:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.94/1.26 % (328942)Instruction limit reached!
% 3.94/1.26 % (328942)------------------------------
% 3.94/1.26 % (328942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328942)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328942)Termination reason: Instruction limit
% 3.94/1.26 % (328942)Termination phase: Saturation
% 3.94/1.26 % (328942)Time elapsed: 0.006 s
% 3.94/1.26 % (328942)Peak memory usage: 89 MB
% 3.94/1.26 % (328942)Instructions burned: 15 (million)
% 3.94/1.26 % (328936)Instruction limit reached!
% 3.94/1.26 % (328936)------------------------------
% 3.94/1.26 % (328936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328936)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328936)Termination reason: Instruction limit
% 3.94/1.26 % (328936)Termination phase: Saturation
% 3.94/1.26 % (328936)Time elapsed: 0.156 s
% 3.94/1.26 % (328936)Peak memory usage: 117 MB
% 3.94/1.26 % (328936)Instructions burned: 201 (million)
% 3.94/1.26 % (328949)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=2053179128:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.94/1.26 % (328935)First to succeed.
% 3.94/1.26 % (328935)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-328929"
% 3.94/1.26 % (328949)Instruction limit reached!
% 3.94/1.26 % (328949)------------------------------
% 3.94/1.26 % (328949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328949)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328949)Termination reason: Instruction limit
% 3.94/1.26 % (328949)Termination phase: Saturation
% 3.94/1.26 % (328949)Time elapsed: 0.022 s
% 3.94/1.26 % (328949)Peak memory usage: 89 MB
% 3.94/1.26 % (328949)Instructions burned: 30 (million)
% 3.94/1.26 % (328951)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2509638226:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.94/1.26 % (328950)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2145500017:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.94/1.26 % (328951)Instruction limit reached!
% 3.94/1.26 % (328951)------------------------------
% 3.94/1.26 % (328951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328951)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328951)Termination reason: Instruction limit
% 3.94/1.26 % (328951)Termination phase: Saturation
% 3.94/1.26 % (328951)Time elapsed: 0.011 s
% 3.94/1.26 % (328951)Peak memory usage: 89 MB
% 3.94/1.26 % (328951)Instructions burned: 24 (million)
% 3.94/1.26 % (328950)Instruction limit reached!
% 3.94/1.26 % (328950)------------------------------
% 3.94/1.26 % (328950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328950)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328950)Termination reason: Instruction limit
% 3.94/1.26 % (328950)Termination phase: Saturation
% 3.94/1.26 % (328950)Time elapsed: 0.012 s
% 3.94/1.26 % (328950)Peak memory usage: 90 MB
% 3.94/1.26 % (328950)Instructions burned: 17 (million)
% 3.94/1.26 % (328953)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=2315035838:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.94/1.26 % (328953)Instruction limit reached!
% 3.94/1.26 % (328953)------------------------------
% 3.94/1.26 % (328953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328953)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328953)Termination reason: Instruction limit
% 3.94/1.26 % (328953)Termination phase: Saturation
% 3.94/1.26 % (328953)Time elapsed: 0.019 s
% 3.94/1.26 % (328953)Peak memory usage: 90 MB
% 3.94/1.26 % (328953)Instructions burned: 28 (million)
% 3.94/1.26 % (328934)------------------------------
% 3.94/1.26 % (328934)------------------------------
% 3.94/1.26 % (328954)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1989688763:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.94/1.26 % (328956)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2088603385:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.94/1.26 % (328956)Instruction limit reached!
% 3.94/1.26 % (328956)------------------------------
% 3.94/1.26 % (328956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328956)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328956)Termination reason: Instruction limit
% 3.94/1.26 % (328956)Termination phase: Saturation
% 3.94/1.26 % (328956)Time elapsed: 0.003 s
% 3.94/1.26 % (328956)Peak memory usage: 89 MB
% 3.94/1.26 % (328956)Instructions burned: 3 (million)
% 3.94/1.26 % (328959)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2511872104:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.94/1.26 % (328959)Refutation not found, incomplete strategy
% 3.94/1.26 % (328959)------------------------------
% 3.94/1.26 % (328959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328959)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328959)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.26 % (328959)Time elapsed: 0.001 s
% 3.94/1.26 % (328959)Peak memory usage: 89 MB
% 3.94/1.26 % (328959)Instructions burned: 1 (million)
% 3.94/1.26 % (328954)Instruction limit reached!
% 3.94/1.26 % (328954)------------------------------
% 3.94/1.26 % (328954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328954)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328954)Termination reason: Instruction limit
% 3.94/1.26 % (328954)Termination phase: Saturation
% 3.94/1.26 % (328954)Time elapsed: 0.051 s
% 3.94/1.26 % (328954)Peak memory usage: 89 MB
% 3.94/1.26 % (328954)Instructions burned: 86 (million)
% 3.94/1.26 % (328960)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=266590410:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.94/1.26 % (328960)Instruction limit reached!
% 3.94/1.26 % (328960)------------------------------
% 3.94/1.26 % (328960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.26 % (328960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.26 % (328960)CaDiCaL version: 2.1.3
% 3.94/1.26 % (328960)Termination reason: Instruction limit
% 3.94/1.26 % (328960)Termination phase: Saturation
% 3.94/1.26 % (328960)Time elapsed: 0.004 s
% 3.94/1.26 % (328960)Peak memory usage: 89 MB
% 3.94/1.26 % (328960)Instructions burned: 5 (million)
% 3.94/1.26 % (328962)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4022707199:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 3.94/1.26 % (328963)lrs+10_1_thi=all:si=on:fd=off:random_seed=2930595364:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 3.94/1.26 % (328935)Refutation found. Thanks to Tanya!
% 3.94/1.26 % SZS status Theorem for theBenchmark
% 3.94/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 4.93/1.46 % (328935)------------------------------
% 4.93/1.46 % (328935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.46 % (328935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.46 % (328935)CaDiCaL version: 2.1.3
% 4.93/1.46 % (328935)Termination reason: Refutation
% 4.93/1.46 % (328935)Time elapsed: 0.176 s
% 4.93/1.46 % (328935)Peak memory usage: 118 MB
% 4.93/1.46 % (328935)Instructions burned: 254 (million)
% 4.93/1.46 % (328935)------------------------------
% 4.93/1.46 % (328935)------------------------------
% 4.93/1.46 % (328929)Success in time 0.615 s
% 4.93/1.46 % Vampire exiting
%------------------------------------------------------------------------------