%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT010+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:06:34 AM UTC 2026
% Result : Theorem 7.65s 2.00s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of formulae : 103 ( 47 unt; 3 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 205 ( 91 ~; 86 |; 18 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_7) ).
fof(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_13) ).
fof(f285,axiom,
accept_population(countryamedicalorganization,muslim,n65),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_16) ).
fof(f287,axiom,
accept_population(countryamedicalorganization,atheist,n30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_18) ).
fof(f480,axiom,
accept_population(countryamedicalorganization,christian,n20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_211) ).
fof(f489,axiom,
accept_population(countryamedicalorganization,other,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_220) ).
fof(f637,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f640,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
fof(f649,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).
fof(f657,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn20) ).
fof(f667,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).
fof(f702,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn65) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f898,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit6) ).
fof(f903,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f904,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f911,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X1))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f912,axiom,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(f914,axiom,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f915,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f917,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f923,conjecture,
~ accept_population(countryamedicalorganization,native,n85),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_10) ).
fof(f924,negated_conjecture,
~ ~ accept_population(countryamedicalorganization,native,n85),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
accept_population(countryamedicalorganization,native,n85),
inference(flattening,[],[f924]) ).
fof(f932,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f933,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f932]) ).
fof(f938,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f911]) ).
fof(f939,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f938]) ).
fof(f940,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f912]) ).
fof(f943,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f914]) ).
fof(f944,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f915]) ).
fof(f946,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f917]) ).
fof(f947,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f946]) ).
fof(f966,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f967,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f966]) ).
fof(f987,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f933]) ).
fof(f1028,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| accept_city(X0,coastvillage) ),
inference(cnf_transformation,[],[f967]) ).
fof(f1331,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
fof(f1334,plain,
accept_population(countryamedicalorganization,muslim,n65),
inference(cnf_transformation,[],[f285]) ).
fof(f1336,plain,
accept_population(countryamedicalorganization,atheist,n30),
inference(cnf_transformation,[],[f287]) ).
fof(f1529,plain,
accept_population(countryamedicalorganization,christian,n20),
inference(cnf_transformation,[],[f480]) ).
fof(f1538,plain,
accept_population(countryamedicalorganization,other,n0),
inference(cnf_transformation,[],[f489]) ).
fof(f1686,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f637]) ).
fof(f1689,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f640]) ).
fof(f1698,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[],[f649]) ).
fof(f1706,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
inference(cnf_transformation,[],[f657]) ).
fof(f1716,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
inference(cnf_transformation,[],[f667]) ).
fof(f1751,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(cnf_transformation,[],[f702]) ).
fof(f1943,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f1947,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(cnf_transformation,[],[f898]) ).
fof(f1952,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f903]) ).
fof(f1953,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f904]) ).
fof(f1960,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f939]) ).
fof(f1961,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f940]) ).
fof(f1963,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f943]) ).
fof(f1964,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f944]) ).
fof(f1966,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f947]) ).
fof(f1972,plain,
accept_population(countryamedicalorganization,native,n85),
inference(cnf_transformation,[],[f925]) ).
fof(f1978,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f1028,f1538]) ).
fof(f1979,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(forward_subsumption_resolution,[],[f1978,f1972]) ).
fof(f1980,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0) ),
inference(forward_subsumption_resolution,[],[f1979,f1331]) ).
fof(f1982,definition,
( spl0_1
<=> accept_population(countryamedicalorganization,muslim,n0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1984,plain,
( ~ accept_population(countryamedicalorganization,muslim,n0)
| spl0_1 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f1986,definition,
( spl0_2
<=> accept_population(countryamedicalorganization,christian,n3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1988,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| spl0_2 ),
inference(avatar_component_clause,[],[f1986]) ).
fof(f1990,definition,
( spl0_3
<=> accept_population(countryamedicalorganization,atheist,n12) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1992,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| spl0_3 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f1993,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1980,f1990,f1986,f1982]) ).
fof(f1995,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f2008,plain,
rdn_non_zero(rdnn(n6)),
inference(resolution,[],[f1947,f1964]) ).
fof(f2034,plain,
! [X0] :
( accept_population(countryamedicalorganization,atheist,X0)
| ~ less(X0,n30) ),
inference(resolution,[],[f987,f1336]) ).
fof(f2038,plain,
! [X0] :
( accept_population(countryamedicalorganization,christian,X0)
| ~ less(X0,n20) ),
inference(resolution,[],[f987,f1529]) ).
fof(f2040,plain,
! [X0] :
( accept_population(countryamedicalorganization,muslim,X0)
| ~ less(X0,n65) ),
inference(resolution,[],[f987,f1334]) ).
fof(f2060,plain,
( ~ less(n0,n65)
| spl0_1 ),
inference(resolution,[],[f2040,f1984]) ).
fof(f2076,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1953,f1960]) ).
fof(f2077,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f2076,f1952]) ).
fof(f2152,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdnn(n3)))
| less(X0,n30)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1716,f1966]) ).
fof(f2164,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f2152,f1961]) ).
fof(f2178,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdnn(n2)))
| less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1706,f1966]) ).
fof(f2180,plain,
! [X0,X1] :
( less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f2178,f1963]) ).
fof(f2184,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n20) ),
inference(forward_subsumption_resolution,[],[f2180,f1995]) ).
fof(f2196,plain,
less(n3,n20),
inference(resolution,[],[f2184,f1689]) ).
fof(f2442,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n6)))
| less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1751,f1966]) ).
fof(f2469,plain,
! [X0,X1] :
( less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n6)) ),
inference(resolution,[],[f2442,f1963]) ).
fof(f2473,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n65) ),
inference(forward_subsumption_resolution,[],[f2469,f2008]) ).
fof(f2477,plain,
less(n0,n65),
inference(resolution,[],[f2473,f1686]) ).
fof(f2481,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2477,f2060]) ).
fof(f2482,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2481]) ).
fof(f2484,plain,
( ~ less(n3,n20)
| spl0_2 ),
inference(resolution,[],[f1988,f2038]) ).
fof(f2490,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2484,f2196]) ).
fof(f2491,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2490]) ).
fof(f2495,plain,
( ~ less(n12,n30)
| spl0_3 ),
inference(resolution,[],[f1992,f2034]) ).
fof(f2969,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f1698,f2164]) ).
fof(f3002,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2969,f2495]) ).
fof(f3006,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f3002,f2077]) ).
fof(f3007,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f3006]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1993]) ).
cnf(s20,plain,
spl0_1,
inference(sat_conversion,[],[f2482]) ).
cnf(s22,plain,
spl0_2,
inference(sat_conversion,[],[f2491]) ).
cnf(s53,plain,
spl0_3,
inference(sat_conversion,[],[f3007]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s1,s53,s22,s20]) ).
fof(f3008,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT010+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:12:12 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
% 5.68/1.59 % (4165144)Detected formulas, will run a generic FOF schedule.
% 5.68/1.59 % (4165152)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=801014195:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.68/1.59 % (4165152)Refutation not found, incomplete strategy
% 5.68/1.59 % (4165152)------------------------------
% 5.68/1.59 % (4165152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.59 % (4165152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.59 % (4165152)CaDiCaL version: 2.1.3
% 5.68/1.59 % (4165152)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.59 % (4165152)Time elapsed: 0.001 s
% 5.68/1.59 % (4165152)Peak memory usage: 88 MB
% 5.68/1.59 % (4165152)Instructions burned: 2 (million)
% 5.68/1.59 % (4165154)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=275103621:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.68/1.59 % (4165151)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2488427437:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.68/1.59 % (4165149)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4093079368:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.68/1.59 % (4165155)dis-21_1_sil=8000:lcm=predicate:random_seed=1319027632:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.68/1.59 % (4165150)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=485609967:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.68/1.59 % (4165153)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2814276141:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.68/1.59 % (4165153)Refutation not found, incomplete strategy
% 5.68/1.59 % (4165153)------------------------------
% 5.68/1.59 % (4165153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.59 % (4165153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.59 % (4165153)CaDiCaL version: 2.1.3
% 5.68/1.59 % (4165153)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.59 % (4165153)Time elapsed: 0.007 s
% 5.68/1.59 % (4165153)Peak memory usage: 88 MB
% 5.68/1.59 % (4165153)Instructions burned: 13 (million)
% 5.68/1.59 % (4165155)Instruction limit reached!
% 5.68/1.59 % (4165155)------------------------------
% 5.68/1.59 % (4165155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.59 % (4165155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.59 % (4165155)CaDiCaL version: 2.1.3
% 5.68/1.59 % (4165155)Termination reason: Instruction limit
% 5.68/1.59 % (4165155)Termination phase: Saturation
% 5.68/1.59 % (4165155)Time elapsed: 0.063 s
% 5.68/1.59 % (4165155)Peak memory usage: 90 MB
% 5.68/1.59 % (4165155)Instructions burned: 129 (million)
% 5.68/1.59 % (4165154)Instruction limit reached!
% 5.68/1.59 % (4165154)------------------------------
% 5.68/1.59 % (4165154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.59 % (4165154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.59 % (4165154)CaDiCaL version: 2.1.3
% 5.68/1.59 % (4165154)Termination reason: Instruction limit
% 5.68/1.59 % (4165154)Termination phase: Saturation
% 5.68/1.59 % (4165154)Time elapsed: 0.099 s
% 5.68/1.59 % (4165154)Peak memory usage: 90 MB
% 5.68/1.59 % (4165154)Instructions burned: 140 (million)
% 5.68/1.59 % (4165152)------------------------------
% 5.68/1.59 % (4165152)------------------------------
% 5.68/1.59 % (4165163)lrs+10_1_sil=8000:sp=occurrence:random_seed=661366884:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.68/1.59 % (4165163)Refutation not found, incomplete strategy
% 5.68/1.59 % (4165163)------------------------------
% 5.68/1.59 % (4165163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.59 % (4165163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.59 % (4165163)CaDiCaL version: 2.1.3
% 5.68/1.59 % (4165163)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.59 % (4165163)Time elapsed: 0.008 s
% 5.68/1.59 % (4165163)Peak memory usage: 88 MB
% 7.65/2.00 % (4165163)Instructions burned: 13 (million)
% 7.65/2.00 % (4165164)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1960771150:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.65/2.00 % (4165165)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2978865372:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.65/2.00 % (4165165)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165165)------------------------------
% 7.65/2.00 % (4165165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165165)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165165)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165165)Time elapsed: 0.002 s
% 7.65/2.00 % (4165165)Peak memory usage: 88 MB
% 7.65/2.00 % (4165165)Instructions burned: 3 (million)
% 7.65/2.00 % (4165164)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165164)------------------------------
% 7.65/2.00 % (4165164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165164)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165164)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165164)Time elapsed: 0.005 s
% 7.65/2.00 % (4165164)Peak memory usage: 88 MB
% 7.65/2.00 % (4165164)Instructions burned: 8 (million)
% 7.65/2.00 % (4165153)------------------------------
% 7.65/2.00 % (4165153)------------------------------
% 7.65/2.00 % (4165165)------------------------------
% 7.65/2.00 % (4165165)------------------------------
% 7.65/2.00 [W928 19:12:13.495951785 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.65/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.65/2.00 [W928 19:12:13.495992865 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.65/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.65/2.00 [W928 19:12:13.496039842 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.65/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.65/2.00 [W928 19:12:13.496054152 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.65/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.65/2.00 [W928 19:12:13.496079842 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.65/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.65/2.00 [W928 19:12:13.496091678 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.65/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.65/2.00 % (4165169)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2896660299:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.65/2.00 % (4165163)------------------------------
% 7.65/2.00 % (4165163)------------------------------
% 7.65/2.00 % (4165164)------------------------------
% 7.65/2.00 % (4165164)------------------------------
% 7.65/2.00 % (4165170)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4100490013:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.65/2.00 % (4165170)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165170)------------------------------
% 7.65/2.00 % (4165170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165170)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165170)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165170)Time elapsed: 0.004 s
% 7.65/2.00 % (4165170)Peak memory usage: 88 MB
% 7.65/2.00 % (4165170)Instructions burned: 12 (million)
% 7.65/2.00 % (4165169)Instruction limit reached!
% 7.65/2.00 % (4165169)------------------------------
% 7.65/2.00 % (4165169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165169)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165169)Termination reason: Instruction limit
% 7.65/2.00 % (4165169)Termination phase: Saturation
% 7.65/2.00 % (4165169)Time elapsed: 0.128 s
% 7.65/2.00 % (4165169)Peak memory usage: 93 MB
% 7.65/2.00 % (4165169)Instructions burned: 249 (million)
% 7.65/2.00 % (4165172)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1278813556:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.65/2.00 % (4165151)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165151)------------------------------
% 7.65/2.00 % (4165151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165151)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165151)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165151)Time elapsed: 0.574 s
% 7.65/2.00 % (4165151)Peak memory usage: 127 MB
% 7.65/2.00 % (4165151)Instructions burned: 839 (million)
% 7.65/2.00 % (4165173)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=459621705:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.65/2.00 % (4165173)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165173)------------------------------
% 7.65/2.00 % (4165173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165173)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165173)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165173)Time elapsed: 0.005 s
% 7.65/2.00 % (4165173)Peak memory usage: 88 MB
% 7.65/2.00 % (4165173)Instructions burned: 7 (million)
% 7.65/2.00 % (4165170)------------------------------
% 7.65/2.00 % (4165170)------------------------------
% 7.65/2.00 % (4165175)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=630813961:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.65/2.00 % (4165175)Instruction limit reached!
% 7.65/2.00 % (4165175)------------------------------
% 7.65/2.00 % (4165175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165175)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165175)Termination reason: Instruction limit
% 7.65/2.00 % (4165175)Termination phase: Saturation
% 7.65/2.00 % (4165175)Time elapsed: 0.063 s
% 7.65/2.00 % (4165175)Peak memory usage: 89 MB
% 7.65/2.00 % (4165175)Instructions burned: 127 (million)
% 7.65/2.00 % (4165178)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=89202430:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.65/2.00 % (4165150)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165150)------------------------------
% 7.65/2.00 % (4165150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165150)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165150)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165150)Time elapsed: 0.753 s
% 7.65/2.00 % (4165150)Peak memory usage: 131 MB
% 7.65/2.00 % (4165150)Instructions burned: 1119 (million)
% 7.65/2.00 % (4165178)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165178)------------------------------
% 7.65/2.00 % (4165178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165178)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165178)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165178)Time elapsed: 0.012 s
% 7.65/2.00 % (4165178)Peak memory usage: 89 MB
% 7.65/2.00 % (4165178)Instructions burned: 42 (million)
% 7.65/2.00 % (4165151)------------------------------
% 7.65/2.00 % (4165151)------------------------------
% 7.65/2.00 % (4165173)------------------------------
% 7.65/2.00 % (4165173)------------------------------
% 7.65/2.00 % (4165181)lrs+10_1_sil=8000:sp=occurrence:random_seed=1710072708:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.65/2.00 % (4165181)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165181)------------------------------
% 7.65/2.00 % (4165181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165181)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165181)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165181)Time elapsed: 0.010 s
% 7.65/2.00 % (4165181)Peak memory usage: 89 MB
% 7.65/2.00 % (4165181)Instructions burned: 18 (million)
% 7.65/2.00 % (4165149)First to succeed.
% 7.65/2.00 % (4165149)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4165144"
% 7.65/2.00 % (4165178)------------------------------
% 7.65/2.00 % (4165178)------------------------------
% 7.65/2.00 % (4165182)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3883865479:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.65/2.00 % (4165182)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165182)------------------------------
% 7.65/2.00 % (4165182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165182)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165182)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165182)Time elapsed: 0.003 s
% 7.65/2.00 % (4165182)Peak memory usage: 87 MB
% 7.65/2.00 % (4165182)Instructions burned: 2 (million)
% 7.65/2.00 % (4165183)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=934442322:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.65/2.00 % (4165150)------------------------------
% 7.65/2.00 % (4165150)------------------------------
% 7.65/2.00 % (4165185)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1922853748:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.65/2.00 % (4165185)Instruction limit reached!
% 7.65/2.00 % (4165185)------------------------------
% 7.65/2.00 % (4165185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165185)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165185)Termination reason: Instruction limit
% 7.65/2.00 % (4165185)Termination phase: Saturation
% 7.65/2.00 % (4165185)Time elapsed: 0.036 s
% 7.65/2.00 % (4165185)Peak memory usage: 91 MB
% 7.65/2.00 % (4165185)Instructions burned: 137 (million)
% 7.65/2.00 % (4165181)------------------------------
% 7.65/2.00 % (4165181)------------------------------
% 7.65/2.00 % (4165189)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2811787270:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 7.65/2.00 % (4165190)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3172697720:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 7.65/2.00 % (4165189)Refutation not found, incomplete strategy
% 7.65/2.00 % (4165189)------------------------------
% 7.65/2.00 % (4165189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/2.00 % (4165189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/2.00 % (4165189)CaDiCaL version: 2.1.3
% 7.65/2.00 % (4165189)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.00 % (4165189)Time elapsed: 0.008 s
% 7.65/2.00 % (4165189)Peak memory usage: 88 MB
% 7.65/2.00 % (4165189)Instructions burned: 13 (million)
% 7.65/2.00 % (4165149)Refutation found. Thanks to Tanya!
% 7.65/2.00 % SZS status Theorem for theBenchmark
% 7.65/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.20 % (4165149)------------------------------
% 0.19/2.20 % (4165149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.20 % (4165149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.20 % (4165149)CaDiCaL version: 2.1.3
% 0.19/2.20 % (4165149)Termination reason: Refutation
% 0.19/2.20 % (4165149)Time elapsed: 0.902 s
% 0.19/2.20 % (4165149)Peak memory usage: 139 MB
% 0.19/2.20 % (4165149)Instructions burned: 1353 (million)
% 0.19/2.20 % (4165149)------------------------------
% 0.19/2.20 % (4165149)------------------------------
% 0.19/2.20 % (4165144)Success in time 1.332 s
% 0.19/2.20 % Vampire exiting
%------------------------------------------------------------------------------