%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI184_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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:32:39 AM UTC 2026
% Result : Theorem 2.53s 0.79s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 104 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 101 ( 47 ~; 41 |; 3 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 261 ( 65 atm; 74 fun; 76 num; 46 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 44 !; 2 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_6,type,
sK0: $int ).
tff(f1,conjecture,
( ! [X1: $int,X0: $int] :
( $less(X0,X1)
=> $less(f(X0),f(X1)) )
=> ! [X2: $int] : $greater(f($sum(f(X2),2)),$sum(f(f(X2)),1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ( ! [X1: $int,X0: $int] :
( $less(X0,X1)
=> $less(f(X0),f(X1)) )
=> ! [X2: $int] : $greater(f($sum(f(X2),2)),$sum(f(f(X2)),1)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ! [X1: $int,X0: $int] :
( $less(X0,X1)
=> $less(f(X0),f(X1)) )
=> ! [X2: $int] : $less($sum(f(f(X2)),1),f($sum(f(X2),2))) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) ),
introduced(definition,[],[tha_order_totality]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(definition,[],[tha_extra_integer_ordering]) ).
tff(f16,plain,
~ ( ! [X1: $int,X0: $int] :
( $less(X1,X0)
=> $less(f(X1),f(X0)) )
=> ! [X2: $int] : $less($sum(f(f(X2)),1),f($sum(f(X2),2))) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
( ? [X2: $int] : ~ $less($sum(f(f(X2)),1),f($sum(f(X2),2)))
& ! [X0: $int,X1: $int] :
( $less(f(X1),f(X0))
| ~ $less(X1,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
( ? [X0: $int] : ~ $less($sum(f(f(X0)),1),f($sum(f(X0),2)))
& ! [X1: $int,X2: $int] :
( $less(f(X2),f(X1))
| ~ $less(X2,X1) ) ),
inference(rectify,[],[f17]) ).
tff(f19,plain,
( ~ $less($sum(f(f(sK0)),1),f($sum(f(sK0),2)))
& ! [X1: $int,X2: $int] :
( $less(f(X2),f(X1))
| ~ $less(X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
tff(f20,plain,
! [X2: $int,X1: $int] :
( $less(f(X2),f(X1))
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
tff(f21,plain,
~ $less($sum(f(f(sK0)),1),f($sum(f(sK0),2))),
inference(cnf_transformation,[],[f19]) ).
tff(f40,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X0),$sum(f(X1),1))
| ~ $less(X1,X0) ),
inference(resolution,[],[f15,f20]) ).
tff(f42,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(f(X0),$sum(1,f(X1))) ),
inference(forward_demodulation,[],[f40,f4]) ).
tff(f44,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X0),$sum(1,f(X1)))
| $less(X0,$sum(X1,1)) ),
inference(resolution,[],[f42,f13]) ).
tff(f47,plain,
( $less(f($sum(f(sK0),2)),$sum(f(f(sK0)),1))
| ( $sum(f(f(sK0)),1) = f($sum(f(sK0),2)) ) ),
inference(resolution,[],[f11,f21]) ).
tff(f54,plain,
( ( $sum(f(f(sK0)),1) = f($sum(f(sK0),2)) )
| $less(f($sum(f(sK0),2)),$sum(1,f(f(sK0)))) ),
inference(forward_demodulation,[],[f47,f4]) ).
tff(f55,plain,
( $less(f($sum(f(sK0),2)),$sum(1,f(f(sK0))))
| ( $sum(f(f(sK0)),1) = f($sum(2,f(sK0))) ) ),
inference(forward_demodulation,[],[f54,f4]) ).
tff(f56,plain,
( $less(f($sum(2,f(sK0))),$sum(1,f(f(sK0))))
| ( $sum(f(f(sK0)),1) = f($sum(2,f(sK0))) ) ),
inference(forward_demodulation,[],[f55,f4]) ).
tff(f57,plain,
( ( $sum(1,f(f(sK0))) = f($sum(2,f(sK0))) )
| $less(f($sum(2,f(sK0))),$sum(1,f(f(sK0)))) ),
inference(forward_demodulation,[],[f56,f4]) ).
tff(f99,definition,
( spl1_1
<=> ( $sum(1,f(f(sK0))) = f($sum(2,f(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f101,plain,
( ( $sum(1,f(f(sK0))) = f($sum(2,f(sK0))) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f103,definition,
( spl1_2
<=> $less(f($sum(2,f(sK0))),$sum(1,f(f(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f105,plain,
( $less(f($sum(2,f(sK0))),$sum(1,f(f(sK0))))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f106,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f57,f103,f99]) ).
tff(f112,plain,
( ~ $less($sum(1,f(f(sK0))),$sum(f($sum(2,f(sK0))),1))
| ~ spl1_2 ),
inference(resolution,[],[f105,f15]) ).
tff(f113,plain,
( ~ $less(f(f(sK0)),f($sum(f(sK0),2)))
| ~ spl1_2 ),
inference(cancellation,[],[f112]) ).
tff(f115,plain,
( ~ $less(f(f(sK0)),f($sum(2,f(sK0))))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f113,f4]) ).
tff(f124,plain,
( ~ $less(f(sK0),$sum(2,f(sK0)))
| ~ spl1_2 ),
inference(resolution,[],[f115,f20]) ).
tff(f127,plain,
( ~ $less(0,2)
| ~ spl1_2 ),
inference(cancellation,[],[f124]) ).
tff(f128,plain,
( $false
| ~ spl1_2 ),
inference(evaluation,[],[f127]) ).
tff(f129,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f128]) ).
tff(f164,plain,
! [X0: $int,X1: $int] :
( $less($sum(1,f(X1)),$sum(f(X0),1))
| $less(X0,$sum(X1,1)) ),
inference(resolution,[],[f44,f13]) ).
tff(f165,plain,
( ! [X0: $int] :
( ~ $less($sum(1,f(f(sK0))),$sum(1,f(X0)))
| $less($sum(2,f(sK0)),$sum(X0,1)) )
| ~ spl1_1 ),
inference(superposition,[],[f44,f101]) ).
tff(f167,plain,
( ! [X0: $int] :
( ~ $less(f(f(sK0)),f(X0))
| $less($sum(f(sK0),1),X0) )
| ~ spl1_1 ),
inference(cancellation,[],[f165]) ).
tff(f168,plain,
! [X0: $int,X1: $int] :
( $less(f(X1),f(X0))
| $less(X0,$sum(X1,1)) ),
inference(cancellation,[],[f164]) ).
tff(f169,plain,
( ! [X0: $int] :
( ~ $less(f(f(sK0)),f(X0))
| $less($sum(1,f(sK0)),X0) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f167,f4]) ).
tff(f219,plain,
( ! [X0: $int] :
( $less(X0,$sum(f(sK0),1))
| $less($sum(1,f(sK0)),X0) )
| ~ spl1_1 ),
inference(resolution,[],[f169,f168]) ).
tff(f226,plain,
( ! [X0: $int] :
( $less($sum(1,f(sK0)),X0)
| $less(X0,$sum(1,f(sK0))) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f219,f4]) ).
tff(f253,plain,
( $less($sum(1,f(sK0)),$sum(1,f(sK0)))
| ~ spl1_1 ),
inference(resolution,[],[f226,f9]) ).
tff(f275,plain,
( $less(0,0)
| ~ spl1_1 ),
inference(cancellation,[],[f253]) ).
tff(f276,plain,
( $false
| ~ spl1_1 ),
inference(evaluation,[],[f275]) ).
tff(f277,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f276]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f106]) ).
cnf(s2,plain,
~ spl1_2,
inference(sat_conversion,[],[f129]) ).
cnf(s4,plain,
~ spl1_1,
inference(sat_conversion,[],[f277]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
tff(f280,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI184_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 20:44:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running first-order theorem proving
% 0.09/0.12 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
% 2.53/0.70 % (3727121)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.53/0.70 % (3727129)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3490911442:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.53/0.70 % (3727128)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1215849140:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.53/0.70 % (3727127)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3709204606:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.53/0.70 % (3727132)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=695633030:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.53/0.70 % (3727126)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1767053588:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.53/0.70 % (3727130)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1254228028:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.53/0.70 % (3727131)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=87287234:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.53/0.70 % (3727130)Instruction limit reached!
% 2.53/0.70 % (3727130)------------------------------
% 2.53/0.70 % (3727130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727130)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727130)Termination reason: Instruction limit
% 2.53/0.70 % (3727130)Termination phase: Saturation
% 2.53/0.70 % (3727130)Time elapsed: 0.002 s
% 2.53/0.70 % (3727130)Peak memory usage: 88 MB
% 2.53/0.70 % (3727130)Instructions burned: 4 (million)
% 2.53/0.70 % (3727129)Instruction limit reached!
% 2.53/0.70 % (3727129)------------------------------
% 2.53/0.70 % (3727129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727129)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727129)Termination reason: Instruction limit
% 2.53/0.70 % (3727129)Termination phase: Saturation
% 2.53/0.70 % (3727129)Time elapsed: 0.003 s
% 2.53/0.70 % (3727129)Peak memory usage: 88 MB
% 2.53/0.70 % (3727129)Instructions burned: 8 (million)
% 2.53/0.70 % (3727131)Refutation not found, incomplete strategy
% 2.53/0.70 % (3727131)------------------------------
% 2.53/0.70 % (3727131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727131)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727131)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.70 % (3727131)Time elapsed: 0.017 s
% 2.53/0.70 % (3727131)Peak memory usage: 115 MB
% 2.53/0.70 % (3727131)Instructions burned: 6 (million)
% 2.53/0.70 % (3727126)Instruction limit reached!
% 2.53/0.70 % (3727126)------------------------------
% 2.53/0.70 % (3727126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727126)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727126)Termination reason: Instruction limit
% 2.53/0.70 % (3727126)Termination phase: Saturation
% 2.53/0.70 % (3727126)Time elapsed: 0.018 s
% 2.53/0.70 % (3727126)Peak memory usage: 115 MB
% 2.53/0.70 % (3727126)Instructions burned: 12 (million)
% 2.53/0.70 % (3727127)Refutation not found, incomplete strategy
% 2.53/0.70 % (3727127)------------------------------
% 2.53/0.70 % (3727127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727127)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727127)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.70 % (3727127)Time elapsed: 0.019 s
% 2.53/0.70 % (3727127)Peak memory usage: 115 MB
% 2.53/0.70 % (3727127)Instructions burned: 10 (million)
% 2.53/0.70 % (3727132)Instruction limit reached!
% 2.53/0.70 % (3727132)------------------------------
% 2.53/0.70 % (3727132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727132)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727132)Termination reason: Instruction limit
% 2.53/0.70 % (3727132)Termination phase: Saturation
% 2.53/0.70 % (3727132)Time elapsed: 0.028 s
% 2.53/0.70 % (3727132)Peak memory usage: 116 MB
% 2.53/0.70 % (3727132)Instructions burned: 34 (million)
% 2.53/0.70 % (3727128)Instruction limit reached!
% 2.53/0.70 % (3727128)------------------------------
% 2.53/0.70 % (3727128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727128)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727128)Termination reason: Instruction limit
% 2.53/0.70 % (3727128)Termination phase: Saturation
% 2.53/0.70 % (3727128)Time elapsed: 0.091 s
% 2.53/0.70 % (3727128)Peak memory usage: 117 MB
% 2.53/0.70 % (3727128)Instructions burned: 201 (million)
% 2.53/0.70 % (3727141)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=253365197:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.53/0.70 % (3727140)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4015686431:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 2.53/0.70 % (3727140)Refutation not found, incomplete strategy
% 2.53/0.70 % (3727140)------------------------------
% 2.53/0.70 % (3727140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727140)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727140)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.70 % (3727140)Time elapsed: 0.0000 s
% 2.53/0.70 % (3727140)Peak memory usage: 88 MB
% 2.53/0.70 % (3727141)Instruction limit reached!
% 2.53/0.70 % (3727141)------------------------------
% 2.53/0.70 % (3727141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727141)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727141)Termination reason: Instruction limit
% 2.53/0.70 % (3727141)Termination phase: Saturation
% 2.53/0.70 % (3727141)Time elapsed: 0.012 s
% 2.53/0.70 % (3727141)Peak memory usage: 88 MB
% 2.53/0.70 % (3727141)Instructions burned: 31 (million)
% 2.53/0.70 % (3727142)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1882952080:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.53/0.70 % (3727142)Instruction limit reached!
% 2.53/0.70 % (3727142)------------------------------
% 2.53/0.70 % (3727142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727142)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727142)Termination reason: Instruction limit
% 2.53/0.70 % (3727142)Termination phase: Saturation
% 2.53/0.70 % (3727142)Time elapsed: 0.005 s
% 2.53/0.70 % (3727142)Peak memory usage: 90 MB
% 2.53/0.70 % (3727142)Instructions burned: 19 (million)
% 2.53/0.70 % (3727143)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4224692911:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 2.53/0.70 % (3727143)First to succeed.
% 2.53/0.70 % (3727143)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3727121"
% 2.53/0.70 % (3727127)------------------------------
% 2.53/0.70 % (3727127)------------------------------
% 2.53/0.70 % (3727131)------------------------------
% 2.53/0.70 % (3727131)------------------------------
% 2.53/0.70 % (3727146)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=4292704907:i=27:canc=cautious:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/27Mi)
% 2.53/0.70 % (3727146)Instruction limit reached!
% 2.53/0.70 % (3727146)------------------------------
% 2.53/0.70 % (3727146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.70 % (3727146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.70 % (3727146)CaDiCaL version: 2.1.3
% 2.53/0.70 % (3727146)Termination reason: Instruction limit
% 2.53/0.70 % (3727146)Termination phase: Saturation
% 2.53/0.70 % (3727146)Time elapsed: 0.009 s
% 2.53/0.70 % (3727146)Peak memory usage: 89 MB
% 2.53/0.70 % (3727146)Instructions burned: 28 (million)
% 2.53/0.70 % (3727149)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1385678916:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 2.53/0.79 % (3727147)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2936819908:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 2.53/0.79 % (3727149)Instruction limit reached!
% 2.53/0.79 % (3727149)------------------------------
% 2.53/0.79 % (3727149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.79 % (3727149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79 % (3727149)CaDiCaL version: 2.1.3
% 2.53/0.79 % (3727149)Termination reason: Instruction limit
% 2.53/0.79 % (3727149)Termination phase: Saturation
% 2.53/0.79 % (3727149)Time elapsed: 0.002 s
% 2.53/0.79 % (3727149)Peak memory usage: 88 MB
% 2.53/0.79 % (3727149)Instructions burned: 4 (million)
% 2.53/0.79 % (3727147)Instruction limit reached!
% 2.53/0.79 % (3727147)------------------------------
% 2.53/0.79 % (3727147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.79 % (3727147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79 % (3727147)CaDiCaL version: 2.1.3
% 2.53/0.79 % (3727147)Termination reason: Instruction limit
% 2.53/0.79 % (3727147)Termination phase: Saturation
% 2.53/0.79 % (3727147)Time elapsed: 0.033 s
% 2.53/0.79 % (3727147)Peak memory usage: 89 MB
% 2.53/0.79 % (3727147)Instructions burned: 86 (million)
% 2.53/0.79 % (3727140)------------------------------
% 2.53/0.79 % (3727140)------------------------------
% 2.53/0.79 % (3727151)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2104912395:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 2.53/0.79 % (3727151)Refutation not found, incomplete strategy
% 2.53/0.79 % (3727151)------------------------------
% 2.53/0.79 % (3727151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.79 % (3727151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79 % (3727151)CaDiCaL version: 2.1.3
% 2.53/0.79 % (3727151)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.79 % (3727151)Time elapsed: 0.002 s
% 2.53/0.79 % (3727151)Peak memory usage: 89 MB
% 2.53/0.79 % (3727151)Instructions burned: 2 (million)
% 2.53/0.79 % (3727152)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3470816276:i=4:ep=RST:ins=2:rtra=on_2997 on theBenchmark for (2997ds/4Mi)
% 2.53/0.79 % (3727152)Instruction limit reached!
% 2.53/0.79 % (3727152)------------------------------
% 2.53/0.79 % (3727152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.79 % (3727152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79 % (3727152)CaDiCaL version: 2.1.3
% 2.53/0.79 % (3727152)Termination reason: Instruction limit
% 2.53/0.79 % (3727152)Termination phase: Saturation
% 2.53/0.79 % (3727152)Time elapsed: 0.002 s
% 2.53/0.79 % (3727152)Peak memory usage: 88 MB
% 2.53/0.79 % (3727152)Instructions burned: 4 (million)
% 2.53/0.79 % (3727143)Refutation found. Thanks to Tanya!
% 2.53/0.79 % SZS status Theorem for theBenchmark
% 2.53/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.79 % (3727143)------------------------------
% 2.53/0.79 % (3727143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.79 % (3727143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79 % (3727143)CaDiCaL version: 2.1.3
% 2.53/0.79 % (3727143)Termination reason: Refutation
% 2.53/0.79 % (3727143)Time elapsed: 0.008 s
% 2.53/0.79 % (3727143)Peak memory usage: 90 MB
% 2.53/0.79 % (3727143)Instructions burned: 19 (million)
% 2.53/0.79 % (3727143)------------------------------
% 2.53/0.79 % (3727143)------------------------------
% 2.53/0.79 % (3727121)Success in time 0.388 s
% 2.53/0.79 % Vampire exiting
%------------------------------------------------------------------------------