%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT048_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 : n014.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 09:47:11 AM UTC 2026
% Result : Theorem 2.48s 0.91s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 107 ( 26 unt; 0 typ; 20 def)
% Number of atoms : 263 ( 93 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 266 ( 110 ~; 114 |; 18 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 159 ( 0 atm; 13 fun; 106 num; 40 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 : 18 ( 16 usr; 16 prp; 0-2 aty)
% Number of functors : 15 ( 9 usr; 11 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?; 64 :)
% 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_12,type,
sF0: collection ).
tff(func_def_13,type,
sF1: collection ).
tff(func_def_14,type,
sF2: collection ).
tff(func_def_15,type,
sF3: collection ).
tff(func_def_16,type,
sF4: $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(f4,axiom,
! [X1: collection,X2: $int,X0: $int] :
( ( in(X0,X1)
| ( X0 = X2 ) )
<=> in(X0,add(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f5,axiom,
! [X1: collection,X2: $int,X0: $int] :
( in(X0,remove(X2,X1))
<=> ( in(X0,X1)
& ( X0 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f7,axiom,
! [X0: collection] :
( ( count(X0) = 0 )
<=> ( X0 = empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f8,axiom,
! [X1: collection,X0: $int] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f11,axiom,
! [X1: collection,X0: $int] :
( ( count(remove(X0,X1)) = count(X1) )
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f13,conjecture,
count(add(1,add(5,remove(3,add(2,empty))))) = 3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f14,negated_conjecture,
( ( ~ count(add(1,add(5,remove(3,add(2,empty))))) ) = 3 ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f17,plain,
! [X1: $int,X0: collection] :
( ~ in(X1,X0)
<=> ( count(X0) = count(remove(X1,X0)) ) ),
inference(rectify,[],[f11]) ).
tff(f19,plain,
! [X2: $int,X0: collection,X1: $int] :
( in(X2,remove(X1,X0))
<=> ( ( X1 != X2 )
& in(X2,X0) ) ),
inference(rectify,[],[f5]) ).
tff(f20,plain,
! [X1: $int,X0: collection,X2: $int] :
( ( in(X2,X0)
| ( X1 = X2 ) )
<=> in(X2,add(X1,X0)) ),
inference(rectify,[],[f4]) ).
tff(f23,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
<=> ( count(add(X1,X0)) = $sum(count(X0),1) ) ),
inference(rectify,[],[f8]) ).
tff(f24,plain,
3 != count(add(1,add(5,remove(3,add(2,empty))))),
inference(flattening,[],[f14]) ).
tff(f27,plain,
! [X0: collection,X1: $int] :
( ( ~ in(X1,X0)
| ( count(add(X1,X0)) != $sum(count(X0),1) ) )
& ( ( count(add(X1,X0)) = $sum(count(X0),1) )
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f28,plain,
! [X1: $int,X0: collection,X2: $int] :
( ( in(X2,X0)
| ( X1 = X2 )
| ~ in(X2,add(X1,X0)) )
& ( in(X2,add(X1,X0))
| ( ~ in(X2,X0)
& ( X1 != X2 ) ) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f29,plain,
! [X1: $int,X0: collection,X2: $int] :
( ( in(X2,X0)
| ( X1 = X2 )
| ~ in(X2,add(X1,X0)) )
& ( in(X2,add(X1,X0))
| ( ~ in(X2,X0)
& ( X1 != X2 ) ) ) ),
inference(flattening,[],[f28]) ).
tff(f30,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,add(X0,X1)) )
& ( in(X2,add(X0,X1))
| ( ~ in(X2,X1)
& ( X0 != X2 ) ) ) ),
inference(rectify,[],[f29]) ).
tff(f33,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( in(X2,remove(X1,X0))
| ( X1 = X2 )
| ~ in(X2,X0) )
& ( ( ( X1 != X2 )
& in(X2,X0) )
| ~ in(X2,remove(X1,X0)) ) ),
inference(nnf_transformation,[],[f19]) ).
tff(f34,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( in(X2,remove(X1,X0))
| ( X1 = X2 )
| ~ in(X2,X0) )
& ( ( ( X1 != X2 )
& in(X2,X0) )
| ~ in(X2,remove(X1,X0)) ) ),
inference(flattening,[],[f33]) ).
tff(f35,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) )
& ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) ) ),
inference(rectify,[],[f34]) ).
tff(f37,plain,
! [X0: collection] :
( ( ( count(X0) = 0 )
| ( empty != X0 ) )
& ( ( X0 = empty )
| ( count(X0) != 0 ) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f38,plain,
! [X1: $int,X0: collection] :
( ( ~ in(X1,X0)
| ( count(X0) != count(remove(X1,X0)) ) )
& ( ( count(X0) = count(remove(X1,X0)) )
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f39,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(X1) != count(remove(X0,X1)) ) )
& ( ( count(X1) = count(remove(X0,X1)) )
| in(X0,X1) ) ),
inference(rectify,[],[f38]) ).
tff(f42,plain,
! [X0: collection,X1: $int] :
( ( count(add(X1,X0)) = $sum(count(X0),1) )
| in(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f46,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X2,add(X0,X1))
| in(X2,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f49,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f51,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| in(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tff(f54,plain,
3 != count(add(1,add(5,remove(3,add(2,empty))))),
inference(cnf_transformation,[],[f24]) ).
tff(f58,plain,
! [X0: collection] :
( ( count(X0) = 0 )
| ( empty != X0 ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f59,plain,
! [X0: $int,X1: collection] :
( ( count(X1) = count(remove(X0,X1)) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tff(f66,plain,
0 = count(empty),
inference(equality_resolution,[],[f58]) ).
tff(f67,definition,
sF0 = add(2,empty),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f68,plain,
add(2,empty) = sF0,
inference(reorient_equations,[],[f67]) ).
tff(f69,definition,
sF1 = remove(3,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f70,plain,
remove(3,sF0) = sF1,
inference(reorient_equations,[],[f69]) ).
tff(f71,definition,
sF2 = add(5,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f72,plain,
add(5,sF1) = sF2,
inference(reorient_equations,[],[f71]) ).
tff(f73,definition,
sF3 = add(1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f74,plain,
add(1,sF2) = sF3,
inference(reorient_equations,[],[f73]) ).
tff(f75,definition,
sF4 = count(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f76,plain,
3 != sF4,
inference(definition_folding,[],[f54,f75,f74,f72,f70,f68]) ).
tff(f80,definition,
( spl5_1
<=> ( add(2,empty) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
tff(f82,plain,
( ( add(2,empty) = sF0 )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f80]) ).
tff(f83,plain,
spl5_1,
inference(avatar_split_clause,[],[f68,f80]) ).
tff(f85,definition,
( spl5_2
<=> ( remove(3,sF0) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
tff(f87,plain,
( ( remove(3,sF0) = sF1 )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f85]) ).
tff(f88,plain,
spl5_2,
inference(avatar_split_clause,[],[f70,f85]) ).
tff(f90,definition,
( spl5_3
<=> ( 3 = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
tff(f93,plain,
~ spl5_3,
inference(avatar_split_clause,[],[f76,f90]) ).
tff(f95,definition,
( spl5_4
<=> ( add(1,sF2) = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
tff(f97,plain,
( ( add(1,sF2) = sF3 )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f95]) ).
tff(f98,plain,
spl5_4,
inference(avatar_split_clause,[],[f74,f95]) ).
tff(f100,definition,
( spl5_5
<=> ( add(5,sF1) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
tff(f102,plain,
( ( add(5,sF1) = sF2 )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f100]) ).
tff(f103,plain,
spl5_5,
inference(avatar_split_clause,[],[f72,f100]) ).
tff(f105,definition,
( spl5_6
<=> ( sF4 = count(sF3) ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
tff(f107,plain,
( ( sF4 = count(sF3) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f105]) ).
tff(f108,plain,
spl5_6,
inference(avatar_split_clause,[],[f75,f105]) ).
tff(f110,definition,
( spl5_7
<=> ( 0 = count(empty) ) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
tff(f112,plain,
( ( 0 = count(empty) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f110]) ).
tff(f113,plain,
spl5_7,
inference(avatar_split_clause,[],[f66,f110]) ).
tff(f121,plain,
( ( remove(3,add(2,empty)) = sF1 )
| ~ spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f87,f82]) ).
tff(f123,definition,
( spl5_9
<=> ( remove(3,add(2,empty)) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
tff(f125,plain,
( ( remove(3,add(2,empty)) = sF1 )
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f126,plain,
( spl5_9
| ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f121,f85,f80,f123]) ).
tff(f157,plain,
( ! [X0: $int] :
( in(X0,add(2,empty))
| ~ in(X0,sF1) )
| ~ spl5_9 ),
inference(superposition,[],[f51,f125]) ).
tff(f166,definition,
( spl5_16
<=> in(3,add(2,empty)) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
tff(f167,plain,
( in(3,add(2,empty))
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f166]) ).
tff(f181,definition,
( spl5_18
<=> in(5,sF1) ),
introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).
tff(f182,plain,
( in(5,sF1)
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f187,definition,
( spl5_19
<=> in(1,sF2) ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
tff(f188,plain,
( in(1,sF2)
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f204,plain,
( ( count(add(2,empty)) = count(sF1) )
| in(3,add(2,empty))
| ~ spl5_9 ),
inference(superposition,[],[f59,f125]) ).
tff(f209,definition,
( spl5_21
<=> ( count(add(2,empty)) = count(sF1) ) ),
introduced(definition,[new_symbols(definition,[spl5_21])],[avatar_definition]) ).
tff(f211,plain,
( ( count(add(2,empty)) = count(sF1) )
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f209]) ).
tff(f213,plain,
( spl5_21
| spl5_16
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f204,f123,f166,f209]) ).
tff(f219,plain,
( ( 3 = 2 )
| in(3,empty)
| ~ spl5_16 ),
inference(resolution,[],[f46,f167]) ).
tff(f221,plain,
( ! [X0: $int] :
( in(X0,sF1)
| ( 5 = X0 )
| ~ in(X0,sF2) )
| ~ spl5_5 ),
inference(superposition,[],[f46,f102]) ).
tff(f223,plain,
( in(3,empty)
| ~ spl5_16 ),
inference(evaluation,[],[f219]) ).
tff(f224,plain,
( $false
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f223,f49]) ).
tff(f225,plain,
~ spl5_16,
inference(avatar_contradiction_clause,[],[f224]) ).
tff(f230,plain,
( in(1,sF2)
| ( $sum(count(sF2),1) = count(sF3) )
| ~ spl5_4 ),
inference(superposition,[],[f42,f97]) ).
tff(f231,plain,
( ( $sum(count(sF1),1) = count(sF2) )
| in(5,sF1)
| ~ spl5_5 ),
inference(superposition,[],[f42,f102]) ).
tff(f249,definition,
( spl5_23
<=> ( sF4 = $sum(count(sF2),1) ) ),
introduced(definition,[new_symbols(definition,[spl5_23])],[avatar_definition]) ).
tff(f253,plain,
( ( sF4 = $sum(count(sF2),1) )
| in(1,sF2)
| ~ spl5_4
| ~ spl5_6 ),
inference(forward_demodulation,[],[f230,f107]) ).
tff(f254,plain,
( spl5_19
| spl5_23
| ~ spl5_4
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f253,f105,f95,f249,f187]) ).
tff(f315,plain,
( in(2,empty)
| ( count(sF1) = $sum(count(empty),1) )
| ~ spl5_21 ),
inference(superposition,[],[f42,f211]) ).
tff(f320,plain,
( ( count(sF1) = $sum(count(empty),1) )
| ~ spl5_21 ),
inference(forward_subsumption_resolution,[],[f315,f49]) ).
tff(f332,plain,
( ( count(sF1) = $sum(0,1) )
| ~ spl5_7
| ~ spl5_21 ),
inference(forward_demodulation,[],[f320,f112]) ).
tff(f333,plain,
( ( 1 = count(sF1) )
| ~ spl5_7
| ~ spl5_21 ),
inference(evaluation,[],[f332]) ).
tff(f338,definition,
( spl5_30
<=> ( 1 = count(sF1) ) ),
introduced(definition,[new_symbols(definition,[spl5_30])],[avatar_definition]) ).
tff(f340,plain,
( ( 1 = count(sF1) )
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f338]) ).
tff(f341,plain,
( spl5_30
| ~ spl5_7
| ~ spl5_21 ),
inference(avatar_split_clause,[],[f333,f209,f110,f338]) ).
tff(f369,plain,
( ! [X0: $int] :
( ~ in(X0,sF1)
| in(X0,empty)
| ( 2 = X0 ) )
| ~ spl5_9 ),
inference(resolution,[],[f157,f46]) ).
tff(f371,plain,
( ! [X0: $int] :
( ~ in(X0,sF1)
| ( 2 = X0 ) )
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f369,f49]) ).
tff(f373,plain,
( ! [X0: $int] :
( ~ in(X0,sF2)
| ( 2 = X0 )
| ( 5 = X0 ) )
| ~ spl5_5
| ~ spl5_9 ),
inference(resolution,[],[f221,f371]) ).
tff(f422,plain,
( ( 1 = 2 )
| ( 1 = 5 )
| ~ spl5_5
| ~ spl5_9
| ~ spl5_19 ),
inference(resolution,[],[f373,f188]) ).
tff(f424,plain,
( $false
| ~ spl5_5
| ~ spl5_9
| ~ spl5_19 ),
inference(evaluation,[],[f422]) ).
tff(f425,plain,
( ~ spl5_5
| ~ spl5_9
| ~ spl5_19 ),
inference(avatar_contradiction_clause,[],[f424]) ).
tff(f432,plain,
( in(5,sF1)
| ( count(sF2) = $sum(1,1) )
| ~ spl5_5
| ~ spl5_30 ),
inference(forward_demodulation,[],[f231,f340]) ).
tff(f433,plain,
( ( 2 = count(sF2) )
| in(5,sF1)
| ~ spl5_5
| ~ spl5_30 ),
inference(evaluation,[],[f432]) ).
tff(f436,definition,
( spl5_36
<=> ( 2 = count(sF2) ) ),
introduced(definition,[new_symbols(definition,[spl5_36])],[avatar_definition]) ).
tff(f452,plain,
( spl5_36
| spl5_18
| ~ spl5_5
| ~ spl5_30 ),
inference(avatar_split_clause,[],[f433,f338,f100,f181,f436]) ).
tff(f455,plain,
( ( 5 = 2 )
| ~ spl5_9
| ~ spl5_18 ),
inference(resolution,[],[f182,f371]) ).
tff(f456,plain,
( $false
| ~ spl5_9
| ~ spl5_18 ),
inference(evaluation,[],[f455]) ).
tff(f457,plain,
( ~ spl5_9
| ~ spl5_18 ),
inference(avatar_contradiction_clause,[],[f456]) ).
tff(f458,plain,
$false,
inference(avatar_smt_refutation,[],[f457,f452,f425,f341,f254,f225,f213,f126,f113,f108,f103,f98,f93,f88,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT048_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 : n014.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 00:07:01 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 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
% 2.48/0.91 % (2302816)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.48/0.91 % (2302826)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=324944088:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.48/0.91 % (2302826)Instruction limit reached!
% 2.48/0.91 % (2302826)------------------------------
% 2.48/0.91 % (2302826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302826)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302826)Termination reason: Instruction limit
% 2.48/0.91 % (2302826)Termination phase: Saturation
% 2.48/0.91 % (2302826)Time elapsed: 0.032 s
% 2.48/0.91 % (2302826)Peak memory usage: 116 MB
% 2.48/0.91 % (2302826)Instructions burned: 47 (million)
% 2.48/0.91 % (2302827)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1528113325:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.48/0.91 % (2302822)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1568767449:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.48/0.91 % (2302825)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3939837323:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.48/0.91 % (2302824)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4072616907:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.48/0.91 % (2302821)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3487082964:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.48/0.91 % (2302823)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3104528502:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.48/0.91 % (2302824)Instruction limit reached!
% 2.48/0.91 % (2302824)------------------------------
% 2.48/0.91 % (2302824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302824)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302824)Termination reason: Instruction limit
% 2.48/0.91 % (2302824)Termination phase: Saturation
% 2.48/0.91 % (2302824)Time elapsed: 0.006 s
% 2.48/0.91 % (2302824)Peak memory usage: 88 MB
% 2.48/0.91 % (2302824)Instructions burned: 8 (million)
% 2.48/0.91 % (2302825)Instruction limit reached!
% 2.48/0.91 % (2302825)------------------------------
% 2.48/0.91 % (2302825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302825)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302825)Termination reason: Instruction limit
% 2.48/0.91 % (2302825)Termination phase: Saturation
% 2.48/0.91 % (2302825)Time elapsed: 0.006 s
% 2.48/0.91 % (2302825)Peak memory usage: 88 MB
% 2.48/0.91 % (2302825)Instructions burned: 4 (million)
% 2.48/0.91 % (2302821)Instruction limit reached!
% 2.48/0.91 % (2302821)------------------------------
% 2.48/0.91 % (2302821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302821)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302821)Termination reason: Instruction limit
% 2.48/0.91 % (2302821)Termination phase: Saturation
% 2.48/0.91 % (2302821)Time elapsed: 0.031 s
% 2.48/0.91 % (2302821)Peak memory usage: 115 MB
% 2.48/0.91 % (2302821)Instructions burned: 13 (million)
% 2.48/0.91 % (2302827)Instruction limit reached!
% 2.48/0.91 % (2302827)------------------------------
% 2.48/0.91 % (2302827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302827)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302827)Termination reason: Instruction limit
% 2.48/0.91 % (2302827)Termination phase: Saturation
% 2.48/0.91 % (2302827)Time elapsed: 0.046 s
% 2.48/0.91 % (2302827)Peak memory usage: 115 MB
% 2.48/0.91 % (2302827)Instructions burned: 33 (million)
% 2.48/0.91 % (2302822)First to succeed.
% 2.48/0.91 % (2302822)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2302816"
% 2.48/0.91 % (2302835)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4210424671:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.48/0.91 % (2302835)Instruction limit reached!
% 2.48/0.91 % (2302835)------------------------------
% 2.48/0.91 % (2302835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302835)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302835)Termination reason: Instruction limit
% 2.48/0.91 % (2302835)Termination phase: Saturation
% 2.48/0.91 % (2302835)Time elapsed: 0.006 s
% 2.48/0.91 % (2302835)Peak memory usage: 88 MB
% 2.48/0.91 % (2302835)Instructions burned: 16 (million)
% 2.48/0.91 % (2302823)Instruction limit reached!
% 2.48/0.91 % (2302823)------------------------------
% 2.48/0.91 % (2302823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302823)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302823)Termination reason: Instruction limit
% 2.48/0.91 % (2302823)Termination phase: Saturation
% 2.48/0.91 % (2302823)Time elapsed: 0.152 s
% 2.48/0.91 % (2302823)Peak memory usage: 117 MB
% 2.48/0.91 % (2302823)Instructions burned: 201 (million)
% 2.48/0.91 % (2302837)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3467483837:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.48/0.91 % (2302836)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=4076717241:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.48/0.91 % (2302837)Instruction limit reached!
% 2.48/0.91 % (2302837)------------------------------
% 2.48/0.91 % (2302837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302837)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302837)Termination reason: Instruction limit
% 2.48/0.91 % (2302837)Termination phase: Saturation
% 2.48/0.91 % (2302837)Time elapsed: 0.012 s
% 2.48/0.91 % (2302837)Peak memory usage: 90 MB
% 2.48/0.91 % (2302837)Instructions burned: 17 (million)
% 2.48/0.91 % (2302838)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3771612530:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 2.48/0.91 % (2302836)Instruction limit reached!
% 2.48/0.91 % (2302836)------------------------------
% 2.48/0.91 % (2302836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302836)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302836)Termination reason: Instruction limit
% 2.48/0.91 % (2302836)Termination phase: Saturation
% 2.48/0.91 % (2302836)Time elapsed: 0.021 s
% 2.48/0.91 % (2302836)Peak memory usage: 88 MB
% 2.48/0.91 % (2302836)Instructions burned: 29 (million)
% 2.48/0.91 % (2302838)Instruction limit reached!
% 2.48/0.91 % (2302838)------------------------------
% 2.48/0.91 % (2302838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302838)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302838)Termination reason: Instruction limit
% 2.48/0.91 % (2302838)Termination phase: Saturation
% 2.48/0.91 % (2302838)Time elapsed: 0.020 s
% 2.48/0.91 % (2302838)Peak memory usage: 89 MB
% 2.48/0.91 % (2302838)Instructions burned: 25 (million)
% 2.48/0.91 % (2302839)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=2871508209:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 2.48/0.91 % (2302839)Also succeeded, but the first one will report.
% 2.48/0.91 % (2302841)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3388148274:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 2.48/0.91 % (2302841)Instruction limit reached!
% 2.48/0.91 % (2302841)------------------------------
% 2.48/0.91 % (2302841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302841)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302841)Termination reason: Instruction limit
% 2.48/0.91 % (2302841)Termination phase: Saturation
% 2.48/0.91 % (2302841)Time elapsed: 0.027 s
% 2.48/0.91 % (2302841)Peak memory usage: 89 MB
% 2.48/0.91 % (2302841)Instructions burned: 87 (million)
% 2.48/0.91 % (2302844)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3911644976:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 2.48/0.91 % (2302844)Instruction limit reached!
% 2.48/0.91 % (2302844)------------------------------
% 2.48/0.91 % (2302844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302844)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302844)Termination reason: Instruction limit
% 2.48/0.91 % (2302844)Termination phase: Saturation
% 2.48/0.91 % (2302844)Time elapsed: 0.003 s
% 2.48/0.91 % (2302844)Peak memory usage: 88 MB
% 2.48/0.91 % (2302844)Instructions burned: 3 (million)
% 2.48/0.91 % (2302845)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2238896515:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 2.48/0.91 % (2302845)Refutation not found, incomplete strategy
% 2.48/0.91 % (2302845)------------------------------
% 2.48/0.91 % (2302845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.91 % (2302845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.91 % (2302845)CaDiCaL version: 2.1.3
% 2.48/0.91 % (2302845)Termination reason: Refutation not found, incomplete strategy
% 2.48/0.91 % (2302845)Time elapsed: 0.005 s
% 2.48/0.91 % (2302845)Peak memory usage: 89 MB
% 2.48/0.91 % (2302845)Instructions burned: 4 (million)
% 2.48/0.91 % (2302822)Refutation found. Thanks to Tanya!
% 2.48/0.91 % SZS status Theorem for theBenchmark
% 2.48/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.12 % (2302822)------------------------------
% 3.90/1.12 % (2302822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.12 % (2302822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.12 % (2302822)CaDiCaL version: 2.1.3
% 3.90/1.12 % (2302822)Termination reason: Refutation
% 3.90/1.12 % (2302822)Time elapsed: 0.070 s
% 3.90/1.12 % (2302822)Peak memory usage: 116 MB
% 3.90/1.12 % (2302822)Instructions burned: 62 (million)
% 3.90/1.12 % (2302822)------------------------------
% 3.90/1.12 % (2302822)------------------------------
% 3.90/1.12 % (2302816)Success in time 0.499 s
% 3.90/1.12 % Vampire exiting
%------------------------------------------------------------------------------